Please help! Urgent!

Examine triangle ABC. (look at picture)

What is the value of x?

A) 37
B) 48
C) 127
D) 138

Step 1.

Calculate measure of angle α:

[tex]47^o-38^o=9^o[/tex]

Step 2.

Calculate what fraction of the angle 360° ​​is the angle α:

[tex]\dfrac{9^o}{360^o}=\dfrac{1}{40}[/tex]

Step 3.

Calculate the circumference of the Earth (circle):

[tex]C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi[/tex]

Step 4.

The length of arc is equal 1/40 of the circumference:

[tex]\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi[/tex]

[tex]\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi[/tex]

The distance between Seattle, WA, and San Francisco, CA, calculated using their latitudinal difference on a sphere with a radius of 4000 miles, is approximately 628 miles.

The question is asking for the distance between Seattle, WA and San Francisco, CA based on their respective latitudes and assuming they are on the same longitudinal line. To find the arc length and thus the distance between the two cities, you can use the formula for arc length on a sphere: [tex]\(Arc \ length = (\Delta Latitude \times \pi/180) \times \ Radius \ of\ Earth\)[/tex]. Here, [tex](\Delta Latitude\)[/tex] is the difference in latitude between the cities, which is [tex]\(47^\circ - 38^\circ = 9^\circ\)[/tex]. The radius of Earth is given as 4000 miles. Plugging these values into the formula, you get:

[tex]\(Arc \ length = (9 \times \pi/180) \times 4000\)[/tex]

[tex]\(Arc \ length = (9 \times 3.14/180) \times 4000\)\\\(Arc \ length = (0.157) \times 4000\)\\\(Arc \ length = 628 \ miles\)[/tex]

Therefore, the distance between Seattle and San Francisco, based on latitude and assuming they are directly north and south of each other, is approximately 628 miles.

Answer:

1. x^4 -x^3 -4x^2 -3

a1 = -7.4

an = an-1 -13.8  (choice 1)

Step-by-step explanation:

f(x) = x^4 -x^2 +9

g(x) = x^3 +3x^2 +12

We are subtracting

f(x) -g(x) =x^4 -x^2 +9 - ( x^3 +3x^2 +12)

Distribute the minus sign

x^4 -x^2 +9 -  x^3 -3x^2 -12

I like to line them up vertically

x^4      -x^2 +9

-  x^3 -3x^2 -12

-------------------------

x^4 -x^3 -4x^2 -3

2.  a1 = -7.4

To find the common difference, take term 2 and subtract term 1

-21.2 - (-7.4)

-21.2 + 7.4

-13.8

an = an-1 -13.8

Step-by-step explanation:

f(x) = x^4 -x^2 +9

g(x) = x^3 +3x^2 +12

We are subtracting

f(x) -g(x) =x^4 -x^2 +9 - ( x^3 +3x^2 +12)

Distribute the minus sign

x^4 -x^2 +9 -  x^3 -3x^2 -12

I like to line them up vertically

x^4      -x^2 +9

-  x^3 -3x^2 -12

-------------------------

x^4 -x^3 -4x^2 -3

2.  a1 = -7.4

To find the common difference, take term 2 and subtract term 1

-21.2 - (-7.4)

-21.2 + 7.4

-13.8

an = an-1 -13.8

if you need anymore help just ask and if you wondering i found another question which its the same one as this one so her it is

Answer:

A conclusion cannot be made based on the given information.

Step-by-step explanation:

Take an example of such two triangles where we are given the information that two sides are congruent and an angle that is not enclosed is congruent. These two particular triangles may or may not be congruent. However, they either are or are not - that does not change in time, so the third answer  "Two two triangles are sometimes congruent" is non-sense. The only remaining and correct option is the fourth one: conclusion on congruency cannot be made.

Answer:

The answer The two triangles are sometimes congruent.

Step-by-step explanation:

Answer:  The next term in the sequence is 5.

Step-by-step explanation:  We are given to find the next term in the following sequence :

1.31,   2.54,   3.77,   .   .   .  .

We can see the following pattern in the consecutive terms of the given sequence :

[tex]2.54=1.31+1.23,\\\\3.77=2.54+1.23,\\\\\\\vdots~~~~~\vdots~~~~\vdots[/tex]

Therefore, the next term in the given sequence will be the last given term plus 1.23.

That is, the next term will be

[tex]3.77+1.23=5.00.[/tex]

Thus, the next term in the sequence is 5.

Answer:

you need to provide the statement

Step-by-step explanation:

Final answer:

The probability of drawing a spade, putting it back, and then drawing another spade is 6.25%. This is calculated by multiplying the probability of drawing a spade twice with replacement.

Explanation:

The probability of drawing a spade from a standard deck of 52 cards is 13/52, since there are 13 spades in a deck. If you replace the card and reshuffle, the condition remains the same for the second draw.

Therefore, the probability of drawing another spade is also 13/52. To find the combined probability of two independent events, you multiply the probabilities of both events occurring.

Thus, the probability of drawing a spade, replacing it, and then drawing another spade is:

(13/52) × (13/52)

When you calculate that, you get:

= 169/2704

= 0.0625 or 6.25%

This means that there is a 6.25% chance of drawing a spade, replacing it, and drawing another spade on two consecutive draws from a standard deck of cards.

Answer:

Geometric

Step-by-step explanation:

Given terms are {3, -1, 1/3, -1/9............}

If we have common difference between the terms then it is arithmetic

If we have common ratio between the terms then it is Geometric

Difference of 3  and -1  is 4

Difference of 1/3  and -1 is -4/3

Common difference it not same so it is not Arithmetic

Now we check common ratio

we divide second term by first term

first term is 3  and second term is -1

[tex]\frac{-1}{3}[/tex]

now we check with next two terms

[tex]\frac{\frac{1}{3}}{-1}=\frac{-1}{3}[/tex]

common ratio is -1/3

So this is Geometric

Answer:

B so geometric :)

Answer: 72.5 ounces per day

Answer:

Step-by-step explanation:

This is an equilateral triangle, 3 equal sides and 3 equal angles (60°)

so angle C is 60°

you can solve qith an equation

8y - 4 = 60

8y = 60 - 4

8y = 56

y = 56 : 8

y = 7

-------------------

check

8y - 4 = 60

(8 * 7) - 4 = 60

56 = 60 - 4

56 = 56

the answer is good

Answer:

Ohn has paid $5730 in first 20 installments

Step-by-step explanation:

As per the question Ohn payed the first installment =$100

Next month Ohn payed the installment = 1.1×$100

Similarly subsequent installment =1.1×1.1×$100

So we can write first 20 installments as

⇒100+100×1.1+100×1.1²+100×1.1³.........+100×[tex]1.1^{20}[/tex]

And we know in geometric series

1+x²+x³+...........[tex]x^{20}[/tex] = (1-[tex]x^{n-1}[/tex])÷(1-x)

Therefore sum of first 20 installments will be

⇒100(1+1.1²+1.1³............[tex]1.1^{20}[/tex] =(1- [tex]1.1^{20}[/tex])÷(1-1.1)

= 100(1-6.73)÷(-.1)

=100×5.73÷.1

= $5730

So Ohn has paid $5730

56 is less than four times a number representing the inequality 56 < 4x thus option (D) is correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given inequality,

56 < 4x

The sign "<" indicates that the value at the left of this sign will be smaller than the right.

Thus, 56 is less than four times the number.

Hence "56 is less than four times a number representing the inequality 56 < 4x".

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The phrase that accurately translates the expression "56 < 4x" is:

56 is less than four times a number.

The correct option is D.

We have the inequality

56 < 4x

Here, the symbol '<' shows less than relation.

So, this phrase represents the inequality statement correctly, stating that 56 is smaller than the result of multiplying four times a certain number (x).

Thus, 56 is less than four times a number.

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About Slope - Intercept Form:

About Standard Form:

About Point - Slope Form:

Other Info:

Hope this information helps!!! :)

Answer:

The interest is $1852

Step-by-step explanation:

We are given

down payment = $500

$299 per month for 48 months

per month installment =$299

total months =48

total amount paid = (per month installment)*( total months)

now, we can plug values

total amount paid is

[tex]=299\times 48[/tex]

[tex]=14352[/tex]

total amount paid is $14352

The cash price is $12,500.00

so,

interest = (total amount paid)-( cash price)

so, interest is

[tex]=14352-12500[/tex]

[tex]=1852[/tex]

Answer:

(a)

[tex]40=1,2,4,5,8,10,20,40[/tex]

(b)

factor=5 can only hold it

(c)

Only one arrangement is possible

(d)

we can put 5 cans into all 8 shelves

(e)

[tex]40=8\times 5[/tex]

Step-by-step explanation:

We are given

an empty kitchen cabinet has 8 shelves

and each shelf can hold no more than 30 cans you want to arrange 40 cans in the kitchen cabinet

so that the same number of cans is on each shelf that you use

(a)

we can find all possible factors of 40

[tex]40=1,2,4,5,8,10,20,40[/tex]

(b)

Since, an empty kitchen cabinet has 8 shelves

so, one of factor of 40 must be 8

so,

[tex]40=8\times 5[/tex]

So, factor=5 can only hold it

(c)

Only one arrangement is possible

because there is only one such possible factor

[tex]40=8\times 5[/tex]

(d)

Since, we got

[tex]40=8\times 5[/tex]

So, we can put 5 cans into all 8 shelves

(e)

Since, there are 8 shelves

and we can put 5 cans on each shelves

so, possible arrangement is

[tex]40=8\times 5[/tex]

Answer:

(a) 40 = 1 x 40, 2 x 20, 4 x 10, or 5 x 8. Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

(b) Factors: 5, 8, 10, 20

(c) 4, that is, the quantity of factors in (b)

(d) 5 cans in 8 shelves, 8 cans in 5 shelves, 10 cans in 4 shelves, 20 cans in 2 shelves.

The cosine of the angle is Negative.

The sine of the angle is Negative.

The given angle's terminal side resides in the third quadrant.

In the first quadrant, all trigonometric ratios are positive.

In the second quadrant, only sine and cosecant are positive.

In the third quadrant, only tangent and cotangent are positive.

In the fourth quadrant, only cosine and secant are positive.

In the third quadrant, both sine and cosine of given angle are negative.

Thus, the cosine of the given angle is Negative and

the sine of the given angle is Negative.

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We can write the argument of the logarithm as a power of 6:

[tex]\log_6\dfrac1{36}=\log_6\dfrac1{6^2}=\log_66^{-2}[/tex]

Then using the property that [tex]\log_ba^n=n\log_ba[/tex], we get

[tex]\log_6\dfrac1{36}=-2\log_66[/tex]

and since [tex]6=6^1[/tex], we have [tex]\log_66=1[/tex], so the value of this expression is simply -2.

The value of [tex]\(\log_6 \left(\frac{1}{36}\right)\)[/tex] is -2.
To evaluate [tex]\(\log_6 \left(\frac{1}{36}\right)\)[/tex], we can use properties of logarithms and exponents.

Let's set up the equation:

[tex]\[\log_6 \left(\frac{1}{36}\right) = x\][/tex]

This equation means:

[tex]\[6^x = \frac{1}{36}\][/tex]

We know that [tex]\(\frac{1}{36}\)[/tex] can be rewritten as [tex]\(6^{-2}\)[/tex] because:

[tex]\[36 = 6^2 \quad \text{so} \quad \frac{1}{36} = 6^{-2}\][/tex]

Thus, the equation [tex]\(6^x = \frac{1}{36}\)[/tex] becomes:

[tex]\[6^x = 6^{-2}\][/tex]

Since the bases are the same, we can equate the exponents:

x = -2

Therefore,

[tex]\[\log_6 \left(\frac{1}{36}\right) = -2\][/tex]

Assuming the system is composed of the equations y = 5x+7 and x = 8, then the answer is (8,47) which is choice A

To get this answer, we simply replace x in the first equation with 8, and then compute

y = 5x+7

y = 5*8+7 .... replace x with 8

y = 40+7

y = 47

So together x = 8 and y = 47 pair up to get us the solution (x,y) = (8,47)

After solving the equation by substitution method, the correct pair for x and y will be (8, 47). Hence, option A is correct.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given data provided by the question,

The equation is,

y = 5x + 7

Substitute x = 8 in the equation,

y = 5 (8) + 7

y = 47.

So, after substituting the x=8 the value obtained for y is 47.

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A recursive rule for a geometric sequence:

[tex]a_1\\a_n=r\cdot a_{n-1}[/tex]

[tex]a_1=1,\ a_2=3,\ a_3=9,\ a_4=27\\\\r=\dfrac{a_{n+1}}{a_n}\to r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}\to r=\dfrac{3}{1}=\dfrac{9}{3}=\dfrac{27}{9}=3\\\\\boxed{a_1=1,\qquad a_n=3\cdot a_{n-1}}[/tex]

[tex]\bf \begin{array}{ccll} \stackrel{x}{weeks}&\stackrel{y}{songs}\\ \cline{1-2} 1&80000\\ 4&300000 \end{array}~\hspace{10em} (\stackrel{x_1}{1}~,~\stackrel{y_1}{80000})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{300000}) \\\\\\ \stackrel{\textit{average rate of change}}{slope = m\implies} \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{300000-80000}{4-1}\implies \cfrac{220000}{3}\quad \approx \quad 73333[/tex]

Answer:

B

Step-by-step explanation:

To find the value of f(x) at x=-1, we substitute x=-1 and simplify.

[tex]f(-1)=\sqrt{3-(-1)}=\sqrt{3+1)} =\sqrt{4}  =2[/tex]

f(-1)=2.

Answer B.

Answer:

b

Step-by-step explanation:

It is a 3rd degree monomial, meaning it has only one term.

Hope I helped!

Answer:

Volume = 434.89276543154 inch³

Step-by-step explanation:

volume = 4/3πr³

where r is the radius

r = 9.4/2  

r = 4.7³

Volume = 4/3×π×4.73³

Volume = 434.89276543154 inch³

Answer:

The fourth graph.

Step-by-step explanation:

The best way to do this is to first convert the equation to slope-intercept form. Then it is easy to see the slope and y intercept.

-3x  + 5y = 15

5y = 3x + 15

y   =  3/5x  + 3  is slope intercept form.

The slope is 3/5 and the y-intercept is at y = 3.

It is the fourth graph.

Answer:

C) 9

Step-by-step explanation:

well 45/5 would eqaul 9 exactly

To find out how many students will be on each of Mr. Andrews' 5 teams, divide the total number of students, 45, by the number of teams, which results in 9 students per team. C is correct.

To determine how many students will be on each team when Mr. Andrews divides his classroom of 45 students equally into 5 teams, you need to divide the total number of students by the number of teams. This is a division problem in mathematics.

Here is the calculation:

Write down the total number of students: 45.

Write down the number of teams: 5.

Divide the total number of students by the number of teams:
45  ÷  5 = 9.

So, there will be 9 students on each team, which corresponds to option C.

Answer:

$125

Step-by-step explanation:

original cost - discount = discounted price

discount = original cost * .2

original cost - original cost *.2 = 100

Factor out the original cost

original cost ( 1-.2) = 100

original cost *.8 = 100

Divide each side by .8

original cost *.8/.8 = 100/.8

original cost = 125

Answer:

I've done this on Odyssey Ware and it's the second graph

Hope This Helps!      Have A Nice Day!!