In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.

x = ____ km

In This Triangle, What Is The Value Of X?Enter Your Answer, Rounded To The Nearest Tenth, In The Box.x

Answers

Answer 1

Answer: [tex]x=56.5\ km[/tex]

Step-by-step explanation:

Given the right triangle in the image, you need to remember the following identity:

[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]

Observe the triangle. You can identify that:

[tex]\alpha=28\°\\adjacent=x\\hypotenuse=64[/tex]

Then, knowing these values, you can substitute them into  [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]:

[tex]cos(28\°)=\frac{x}{64}[/tex]

Finally, you have to solve for "x".

Therefore, the value of "x" rounded to the nearest tenth is:

[tex]64*cos(28\°)=x\\x=56.5\ km[/tex]


Related Questions

Label all of the parts of the circle

Answers

Answer:

The dot is the center

the long line is the diameter

the circle is the circumference

the half way line is the radius

Final answer:

The parts of a circle include the center, radius, diameter, chord, arc, sector, segment, and circumference.

Explanation:The circle is divided into several parts: center, radius, diameter, chord, arc, sector, segment, and circumference.The center is the point in the middle of the circle, denoted by the letter C.A radius is the distance from the center of the circle to any point on its circumference. It is denoted by the letter r.The diameter is a chord that passes through the center of the circle and is twice the length of the radius. It is denoted by the letter d.A chord is a line segment that connects two points on the circumference of the circle. It does not necessarily pass through the center.An arc is a part of the circumference of the circle.A sector is the region between an arc and two radii.A segment is the region between an arc and a chord.The circumference is the distance around the circle. It can be calculated using the formula C = 2πr, where π is approximately 3.14.

the probability of event a is 0.56 and the probability of event b is 0.34

Answers

Answer:

Since A and B are independent:

P(A and B) = P(A) * P(B)

P(A and B) = 0.34 * 0.56 = 0.1904

* Hopefully this helps:)!!

Mark me the brainliest:)!!

~234483279c20~

99% confidence interval for the mean

Answers

Answer:

16.3 ± 0.8391

Step-by-step explanation:

The confidence interval is:

CI = x ± SE * CV

where x is the sample mean, SE is the standard error, and CV is the critical value (either t score or z score).

Here, x = 16.3.

The standard error for a sample mean is:

SE = σ / √n

SE = 1.5 / √25

SE = 0.3

The critical value is looked up in a table or found with a calculator.  But first, we must find the alpha level, the critical probability, and the degrees of freedom.

α = 1 - 0.99 = 0.01

p* = 1 - (α/2) = 1 - (0.01/2) = 0.995

df = n - 1 = 25 - 1 = 24

Since df < 30, we use a t-score.  Looking up in a t-table, we find the critical value is CV = 2.797.

Therefore:

CI = 16.3 ± (0.3 * 2.797)

CI = 16.3 ± 0.8391

The graph of Fx), shown below, has the same shape as the graph of G(x) x2, but it is shifted up 4 units and to the right 3 units. What is its equation?

Answers

Using translation concepts, it is found that the equation of function F(x) is given by:

D. F(x) = (x - 3)² + 4.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is given by:

G(x) = x².

Then, these following translations happen:

Shift up 4 units, hence F(x) = x + 4.Shift right 3 units, hence x -> x - 3.

Thus, the equation of function F(x) is given by:

D. F(x) = (x - 3)² + 4.

More can be learned about translation concepts at https://brainly.com/question/4521517

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Estimate the area of the circle using 22/7

Answers

Answer: [tex]A_{circle}=616cm^2[/tex]

Step-by-step explanation:

You can observe in the figure that the value of the diameter of the circle is

[tex]d=28cm[/tex]

Then, since you know the diameter , you can use this formula for calculate the area of the circle:

[tex]A_{circle}=\frac{\pi d^2}{4}[/tex]

Where "d" is the diameter.

Then, substituting  [tex]d=28cm[/tex] and  [tex]\pi =\frac{22}{7}[/tex] into the formula, you can estimate the area of the circle. This is:

[tex]A_{circle}=\frac{(\frac{22}{7})(28cm)^2}{4}[/tex]

[tex]A_{circle}=616cm^2[/tex]

how do you simplify this expression.

Answers

4 + √16-(4)(5)  / 2

Simplify the numerator:

4 + √16 -20   = 4 +√-4

Now you have 4 + √-4 / 2

Rewrite the -4 as -1 *4

4 + √ -1*4  / 2

Rewrite √-1*4 as √-1 * √4

√-1 = i

Now you have 4 + i * √4 / 2

√4 = 2

Now you have 4 + i * 2 /2

Divide the numerator by the denominator to get the final answer: 2 + i

Quick geometry question please help ASAP!!!

For #3

Answers

Answer:

The volume of the composite figure is equal to [tex]400\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the composite figure is equal to the area of the rectangular prism plus the volume of the rectangular pyramid

step 1

Find the volume of the rectangular prism

The volume is equal to

[tex]V=LWH[/tex]

we have

[tex]L=12\ in[/tex]

[tex]W=4\ in[/tex]

[tex]H=5\ in[/tex] ----> height of the rectangular prism

substitute

[tex]V=12*4*5=240\ in^{3}[/tex]

step 2

Find the volume of the rectangular pyramid

The volume is equal to

[tex]V=\frac{1}{3}LWh[/tex]

we have

[tex]L=12\ in[/tex]

[tex]W=4\ in[/tex]

[tex]h=10\ in[/tex] ----> height of the rectangular pyramid

substitute

[tex]V=\frac{1}{3}(12)(4)(10)=160\ in^{3}[/tex]

step 3

Adds the volumes

[tex]240\ in^{3}+160\ in^{3}=400\ in^{3}[/tex]

Urgent! Please answer using the screenshot below!!

Answers

Answer:

h = 12 units

Step-by-step explanation:

Area of a Parallelogram = base × perpendicular height  (A = b × h)

In the diagram above we can obtain the following:

Area = 72 units² perpendicular height = h base = 6

(Please Note: the base of a parallelogram must be perpendicular to its height; in this case it is the side measuring 6 units that is perpendicular to the height)

Since A = b × h

    ⇒ A ÷ b = b ÷ b × h  (dividing both sides by b)

    ⇒ h = A ÷ b    (making h the subject of the eq'n)

thus  h = 72 unit² ÷ 6 units

            = 12 units

30 points + brainliest for correct answer! If a triangle has sides X, 4.0, and 8.0, what is the range of possible sizes for side x?

Answers

Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?

I. 2

II. 12

III. 24

Answer:

4.0 is less than x is less than 12.0

Step-by-step explanation:

Help answer and explain #7 #8 #9 YOU HAVE TO DO THE STEPS OF HOW u got it.

Answers

Answer:

For Answer 7 its the first one   (x + 6) • (x - 7)

Step-by-step explanation:

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-x-42  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -42  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -42 = -42  

Step-2 : Find two factors of  -42  whose sum equals the coefficient of the middle term, which is   -1 .

     -42    +    1    =    -41  

     -21    +    2    =    -19  

     -14    +    3    =    -11  

     -7    +    6    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  6  

                    x2 - 7x + 6x - 42

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   6 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x+6)  •  (x-7)

            Which is the desired factorization

Final result :

 (x + 6) • (x - 7)


What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?

Answers

Hello!

Answer: (-6,8)

A coordinate graph might help.

Hope I helped in time!

Good luck!

~ Destiny ^_^

Answer:

the answer is b (-6,8)

Step-by-step explanation:

URGENT, literally will give 40 points and dub thee brainliest


Given the coordinates of the triangle, determine the coordinates of its image after a dilation with the given scale factor centered at the origin.

A(-1, 3), B(1, 1), C(-4, 1); scale factor: 2



A.
A' (negative 1 half,3 over 2)

B' (1 half,1 half)

C' (0, negative 3 over 2)



B.
A' (1,5)

B' (3,3)

C' (2, -1)



C.
A' (-2, 6)

B' (2,2)

C' (0, -6)

D.
A' (-3, 1)

B' (-1, -1)

C' (-2, -5)



Answers

Answer:

D

Step-by-step explanation:

Which are solutions of x2=-11+4?

Answers

For this case we have a quadratic equation of the form:

[tex]ax ^ 2 + bx + c = 0\\x ^ 2 + 11x-4 = 0[/tex]

Where:

[tex]a = 1\\b = 11\\c = -4[/tex]

We find the roots:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\x = \frac {-11 \pm \sqrt {11 ^ 2-4 (1) (- 4)}} {2 (1)}\\x = \frac {-11 \pm \sqrt {121 + 16}} {2}\\x = \frac {-11 \pm \sqrt {137}} {2}[/tex]

The roots are:

[tex]x_ {1} = \frac {-11+ \sqrt {137}} {2}\\x_ {2} = \frac {-11- \sqrt {137}} {2}[/tex]

Answer:

[tex]x_ {1} = \frac {-11+ \sqrt {137}} {2}\\x_ {2} = \frac {-11- \sqrt {137}} {2}[/tex]

ANSWER

[tex]x = - \sqrt{ 7}i \: \: or \: \: x = + \sqrt{ 7}i[/tex]

EXPLANATION

The given expression is

[tex] {x}^{2} = - 11 + 4[/tex]

Simplify the left hand side to get:

[tex] {x}^{2} = - 7[/tex]

Take square root

[tex]x = \pm \sqrt{ - 7} [/tex]

[tex]x = \pm \sqrt{ 7} \times \sqrt{ - 1} [/tex]

Note that:

[tex] {i}^{2} = - 1 \implies \sqrt{ - 1} = i[/tex]

[tex]x = \pm \sqrt{ 7}i[/tex]

Split the plus or minus sign

[tex]x = - \sqrt{ 7}i \: \: or \: \: x = + \sqrt{ 7}i[/tex]

A Young sumo wrestlers decided to go on a special diet to gain weight rapidly w (t)=80+5.4t how much weight does the wrestler gain every 2 months

Answers

The rate is 5.4 per month so in two months gains 10.8

Answer:

10.8 kg

Step-by-step explanation:

We are given that weight of young Sumo wrestler is given by

[tex]w(t)=80+5.4t[/tex]

We have to find the weight of wrestler gain in every months.

In order to find the weight gain in 2 month we will find out w(2)

Then, we get

[tex]w(2)=80+5.4(2)[/tex]

[tex]w(2)=80+10.8[/tex]

[tex]w(2)=90.8[/tex]

Weight gain in 2 month=90.8-80=10.8 kg

Hence,the wrestler gain 10.8 kg in every 2 months.

Find the median of the following set of data:
48, 65, 57, 54, 61, 57, 52, 61, 57

a.) 54
b.)57
c.)61
d.)65

Answers

Answer:

b

Step-by-step explanation:

The median is the middle value of the data set in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.

Arrange the data in ascending order

48, 52, 54, 57, 57, 57, 61, 61, 65

                          ↑

The median of the data set is 57 → b

Megan drove from her house to work at an average speed of 45 miles per hour. The drive took her
20 minutes. If the drive home took her 30 minutes and she used the same route in reverse, what was her average speed going home?

Answers

Answer:

30

Step-by-step explanation:

Since the question says that it took her 45 minutes per hour, you can use that to find the distance of the route she took.  

45 miles: 60 minutes  

15 miles: 20 minutes ----------------cross multiply (20x45 and then divide by 60)  

Therefore, if she is going to use the same route in reverse, the distance would be 15 miles.  

Use the formula for speed:  

speed= distance/time  

= 15/0.5 ---------- 0.5 hours is the same as 30 minutes  

= 30

Answer:

First option: 30 miles per hour

Step-by-step explanation:

For the first scenario, we will convert the minutes into hours first to get all the quantities in same unit

So,

20 minutes = 1/3 hours = 0.33 hours

Now using the speed, distance and time formula

Speed = distance/time

[tex]Speed = \frac{distance}{time}[/tex]

[tex]45 = \frac{distance}{\frac{1}{3} }[/tex]

[tex]45 = 3 * distance[/tex][tex]\frac{45}{3} = Distance[/tex]

So the distance is 15 miles.

For returning through the same route

Time = 30 minutes = 0.5 hour

Distance = 15 miles

So,

[tex]speed = \frac{distance}{time}[/tex]

[tex]Speed = \frac{15}{0.5}[/tex]

Speed = 30 miles per hour

So first option is correct..

what is the value of x ​

Answers

The value of x is 114 degrees.

X is a vertical angle with the given angle of 114.

This means X is also 114 degrees.

Which polynomial is in standard form.

Answers

Answer:

4- [tex]7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2[/tex]

Step-by-step explanation:

In a standard polynomial degree drops from left to right

so , option 4 is correct.

[tex]7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2[/tex]

If you deposit $540 in an account that pays 6% interest compounded annually how much would be in the account after three years

Answers

Answer:

A=$643.15

Step-by-step explanation:

We can use the formula

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Now we can plug the information in the problem into the formula

[tex]A=540(1+\frac{0.06}{1} )^{(1)(3)}\\\\A=643.15[/tex]

Answer:

The amount after 3 year = $ 643.15

Step-by-step explanation:

Compound interest  formula:

A = P[1 +R/n]^nt

Where A - amount

P - principle amount

R = rate of interest

t - number of times compounded yearly

n  number of years

To find the amount after 3 years

Here P = $540, R = 6%, t = 1 and n = 3 years

A = P[1 +R/n]^nt

 = 650[1 + 0.06/1]^(3*1)

 = 540[1.06]^3

 = $ 643.15

Two people share £350 in the ratio 1 : 6.


Calculate each share.

Answers

Answer:

£50 and £300

Step-by-step explanation:

Sum the parts of the ratio 1 + 6 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of ratio

Hence

1 person receives £50

the other person receives 6 × £50 = £300

Final answer:

To find the two shares in the given ratio, divide the total amount by the sum of the ratio. The first share is 1/7 of the total, while the second share is 6/7 of the total.

Explanation:

To find the two shares, we need to divide £350 into two parts using the ratio 1:6. To do this, we must first understand that the ratio sum is 1+6=7. The first share is 1/7 of the total amount, calculated as (1/7)*£350 = £50. The second share is 6/7 of the total amount, calculated as (6/7)*£350 = £300.

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Please find the value of the expression below.

Answers

Answer:

35

Step-by-step explanation:

Note that the absolute value always produces a positive result

Given

| a² - 2ac + 5c | ← substitute in given values

= | (- 3)² - 2(- 3 × - 4) + (5 × - 4) |

= | 9 - 24 - 20 | = | - 35 | = 35

They give you the equation:

[tex]|a^{2} - 2ac + 5c|[/tex]

We know that:

a = -3

b = 2

c = -4

You can replace the variables with their corresponding values like this:

[tex]|(-3)^{2} -2(-3)(-4) + 5(-4)|[/tex]

You can then go on and do PEMDAS to solve this:

First the exponents:

[tex]-3^{2} = 9[/tex]

[tex]|9 -2(-3)(-4) + 5(-4)|[/tex]

Then you can multiply all that needs to be multiplied together from left to right:

[tex](-2)(-3)(-4) = (6)(-4) = -24[/tex]

[tex]|9 - 24 + 5(-4)|[/tex]

[tex](5)(-4) = -20[/tex]

[tex]|9 - 24 + (-20)|[/tex]

[tex]|9 - 24 -20|[/tex]

Now from left to right subtract:

9 - 24 = -15

[tex]|-15 -20|[/tex]

-15 - 20 = -35

[tex]|-35|[/tex]

^^^The | | mean to take the absolute value of the number. In other words make it positive

So the answer to this is 35

Hope this helped!

Please Help Me =)
----------------------------

Answers

Steps:

6(1)+1= 7

6(2)+1= 13

6(3)+1=19

6(4)+1= 25

7,13,19,25

Answer is third choice

ANSWER

7,13,19,25

EXPLANATION

The given rule is:

6n+1

When n=1,

We obtain 6(1)+1=6+1=7...This is the first term.

When n=2,

6(2)+1=13

When n=3, we obtain,

6(3)+1=19

When n=4:

We have :

6(4)+1=25

The third choice is correct.

x y
-2 -1
-1 0
0 1
1 2
2 3

Without graphing, what is the x-intercept of this function?

Answers

Answer:

(- 1, 0)

Step-by-step explanation:

The x- intercept is where the function crosses the x- axis.

The y- coordinate of any point on the x- axis is zero, hence

The point (- 1, 0 ) is the x- intercept

Answer:(-1,0)

Step-by-step explanation:

what is the volume of a cylinder with the base radius of 10 units and a height of nine units?

Answers

Answer:

[tex]V = 2827.43\ units^3[/tex]  or [tex]V = 900\pi\ units^3[/tex]

Step-by-step explanation:

The volume of a cylinder is calculated by the following formula

[tex]V = \pi r^2 *h[/tex]

Where r is the radius of the cylinder and h is the height

In this case we know that the radius r of the base is:

[tex]r=10\ units[/tex]

and

[tex]h=9\ units[/tex]

So the Volume is:

[tex]V = \pi (10)^2 *9[/tex]

[tex]V = 900\pi\ units^3[/tex]

[tex]V = 2827.43\ units^3[/tex]

Answer:

The volume is [tex]2827.4units^3[/tex] to the nearest tenth

Step-by-step explanation:

The volume of cylinder is : [tex]V=\pi r^2h[/tex]

The base radius of the cylinder is r=10 units.

The height of the cylinder is h=9 units.

Substitute the values into the formula to get;

[tex]V=\pi \times 10^2\times 9[/tex]

[tex]V=900\pi units^3[/tex]

[tex]V=2827.4units^3[/tex] to the nearest tenth

I need help! Can anyone help me?! Thanks

Answers

Answer:

not sure what you need help on but im guessing:

7 > H, 3r-8

HELP ASAP MARKING BRAINLEST

use the diagram to write the standard equation of the circle.

Answers

Answer:

your answer is:

(x-2)^2 +(y-2)^2=16

Hope this helps.

Brainliest plz :)

The standard equation of the given circle is (x-2)²+(y-2)²=16. This can be obtained by using the general equation of the circle.

What is the general equation of the circle?

The general equation of the circle is,

(x-h)²+(y-k)²=r² , where (h,k) is the center and r is the radius

From the figure we say that (2,2) is the circle and 4 is the radiusBy using the general equation of the circle we can write the standard equation,

                   (x-2)²+(y-2)²=4² ⇒ (x-2)²+(y-2)²=16

Hence the standard equation of the given circle is (x-2)²+(y-2)²=16.

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Which expression is equivalent to (-4y-x)-(3y-9x)

A.-7y-8x
B.-7y+8x
C.-y-10x
D.y+10x

Answers

Answer:

B. -7y + 8x.

Step-by-step explanation:

(-4y - x) - (3y - 9x)

Distributing the negative over the second parentheses we get:

-4y - x - 3y + 9x

= -7y + 8x.

How many sides does a quadrilateral have

Answers

A quadrilateral has four sides

Answer:

A quadrilateral has four sides.

Example:

The following figures are quadrilaterals and have 4 sides.

Someone plz help with this

Answers

Answer:

the answer is: [tex]5y^6 \sqrt{2}[/tex]

Step-by-step explanation:

We need to solve the equation:

[tex]\sqrt{50y^{12}}[/tex]

We know 50 = 2*5*5

2*5*5 can be written as: 2* 5^2

and √ = 1/2

Solving:

[tex]=\sqrt{2*5*5*y^{12}}\\= \sqrt{2*5^2*y^{12}}\\=(2)^{1/2}*(5^2)^{1/2}*y^{12}^{1/2}\\=(2)^{1/2}*5*y^6\\=5y^6 \sqrt{2}[/tex]

So, the answer is: [tex]5y^6 \sqrt{2}[/tex]

Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.

Answers

Answer:

Step-by-step explanation

i believe the answer is 300

100 times 60 cents would be 60.00$

the question states that the white balloons are half off making it 30 cents

300 times 30 is 90.00

90.00 plus 60.00 would be 150.00$

300 white balloons is what he may purchase

He can purchase 300 white balloons.

Wei can purchase 100 blue balloons for $60.00 (100 * $0.60). He has $150.00 - $60.00 = $90.00 left to spend on white balloons. Since the white balloons are on sale for half price, each white balloon costs $0.60 / 2 = $0.30. Therefore, Wei can purchase $90.00 / $0.30 = 300 white balloons. In total, he can purchase 100 blue balloons and 300 white balloons for the garland.

To calculate the number of white balloons Wei can purchase, we first find the total cost of the blue balloons, which is 100 * $0.60 = $60.00. Then, we subtract this from Wei's budget of $150.00 to find the remaining amount for white balloons: $150.00 - $60.00 = $90.00.

Since the white balloons are on sale for half price, each white balloon costs $0.60 / 2 = $0.30. We divide Wei's remaining budget by the cost per white balloon to find how many he can purchase: $90.00 / $0.30 = 300 white balloons.

So, Wei can purchase 100 blue balloons and 300 white balloons for the garland.

Complete question:

Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.

Other Questions
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