The expression sin^-1(3/8) can be used to determine the angle between the board and the ground in this scenario. This utilizes the sine function in trigonometry, which involves the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right-angle triangle.
Explanation:The subject of this question is Mathematics, specifically trigonometry. In such a problem, we can utilize the concept of trigonometric functions, in this case is the sine function. The sine of an angle in a right-angled triangle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse. In this scenario, the board acts as the hypotenuse, the height of the truck is the side opposite the angle, and the angle we're trying to determine is between the ground (which we can consider as the adjacent side) and the board.
So, to determine the angle, we would use the expression: sin^-1(opposite/hypotenuse) = sin^-1(3/8).
The sine inverse or 'sin^-1' is used to find the angle when we know the sine value. Also, note that the answer will be in radians and can be converted into degrees by multiplying by 180/pi if necessary.
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What is the meaning of diviation ?
Answer:
In mathematics and statistics, deviation is a measure of difference between the observed value of a variable and some other value, often that variable's mean.
To calculate the standard deviation of those numbers:
Work out the Mean (the simple average of the numbers)
Then for each number: subtract the Mean and square the result.
Then work out the mean of those squared differences.
Take the square root of that and we are done!
Answer:
the action of departing from an established course
Step-by-step explanation: Your Welcome Stay Safe
FOR EASY BRAINLIEST BRAINLIEST!! Do it With a drawn picture!
Answer:
Step-by-step explanation:
HELP ME ASAP!
What is the volume of the right rectangular prism, in cubic inches?
Area of base = 4 sq.in.
cubic inches
Answer:
V = 48 [tex]inches^{3}[/tex]
Step-by-step explanation:
Volume of a rectangular prism = Area of base * height
Substitute in our values and solve for Volume
V = 4 * 12
V = 48 [tex]inches^{3}[/tex]
Answer:
48 Sq.In
Step-by-step explanation:
Did quiz edge and got righ lol
Find the sum of the areas of a kite with diagonals of 28 and 32 inches and a rhombus with diagonals of 37 and 63 inches. Round answer to the nearest tenth of a square inch.
Answer:
total area = K + R = 448 + 1,165.5 = $1,613.5 sq. in.
Step-by-step explanation:
Use formulas for area of Kite and area of rhombus.
K = area of Kite
R = area of rhombus
K = (1/2) *(diagonal 1)*(diagonal 2)
R = (1/2)*(diagonal 1)*(diagonal 2)
K = (1/2)*(28 in.)*(32 in.) = 14 * 32 = 448 sq. in.
R = (1/2)*(37 in.)*(63 in.) = 1,165.5 sq. in.
total area = K + R = 448 + 1,165.5 = $1,613.5 sq. in.
Which of these values would you most likely see on a U.S. speed limit sign?
A. 150 miles / day
B. 45 miles/hour
C. .08 miles / second
D. 25 feet / second
SUBMIT
h
Answer:
Hi there! The answer is B: 45 Miles/Hour (or mph)
Step-by-step explanation:
When looking at speed signs in the U.S. they always use miles per hour, or MPH. Making it so the other options are incorrect!
Hope this helps!! :)
The most common unit on a U.S. speed limit sign is B. 45 miles/hour. Speed limits are displayed in miles per hour, not in units like miles per day, miles per second, or feet per second.
The value you would most likely see on a U.S. speed limit sign is B. 45 miles/hour. In the U.S., speed limits are almost always shown in miles per hour (mi/h). Therefore, options like 150 miles/day, .08 miles/second, or 25 feet/second are not standard measurements for speed limits on road signs.
To address the conversion exercises, converting 80 km/h to metric units of meters per second (m/s), you use the conversion factor 1 km/h = (1/3.6) m/s. So, 80 km/h equals approximately 22.2 m/s. The conversion to imperial units of miles per hour requires knowing that 1 km is roughly 0.621 miles, making 80 km/h about 49.7 mi/h.
Similarly, 100 km/h equals about 27.8 m/s (not an option here), and in miles per hour, it's approximately 62 mi/h. When converting from metric to imperial or vice versa, it's useful to remember that 1 m/s equals 3.6 km/h and roughly 2.2 mi/h.
-q/7>-1
Help plz Step-by-step
Answer:
q < 7
Step-by-step explanation:
Given:
[tex]\frac{-q}{7} > -1[/tex]
Required:
Find the value of q.
First, multiply both sides by 7
[tex]7 * \frac{-q}{7} > -1 * 7[/tex]
-q > -7
Then, multiply both sides by -1
q < 7
Note that the sign of the inequality changed.
When multiplying or dividing an inequality by a number less than 0 (in other words, a negative numbers), the sign of the inequality will change.
Hence, the solution to the expression above is
q < 7
Please help! Basic math.
Answer:
A' = 2,-2
B' = 2,-4
C' = 5,-4
Step-by-step explanation:
Which equation represents a circle that contains the point (-5. -3) and has a center at (-2, 1)?
Distance formula: (x2-x1)^2 + (y2-y1)^2
A. (x - 1)2 + (x + 2)2 = 25
B. (x + 2)2 + (-1)2 = 5
C. (x + 2)2 + (x - 1)2 = 25
D. (x - 1)2 + (y + 2)2 = 5
. A coin is flipped 100 times and it lands on HEADS 61 times and TAILS 39 times. Find the experimental probability that the coin lands on TAILS. Express all probability as fractions in simplest terms.
Answer:
39%
Step-by-step explanation:
100% = 61% + 39%
Answer:
39/100
Step-by-step explanation:
if the coin lands on tails 39 out of 100 times the probability would be 39 out of 100 and 39 is odd so it cannot go into 100 cause it's even
Which term in this expression is a constant?
14x − 10 + 6y − x
A) 14x
B) 6y
C) x
D) 10
Answer:
B
Step-by-step explanation:
i jst did it
Find all real square roots of 100
Answer:
square root of 100 is 10
Step-by-step explanation:
The real roots of 100 are 10 and -10.
What are roots?The root of a number x is another number, which, when multiplied by itself a given number of times, equals x.
Roots of 100 = [tex]\sqrt{100}[/tex] = ± 10
Hence, The real roots of 100 are 10 and -10.
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You deposit $20,000 in an account that pays 7.77% annual interest. Find the balance after 2 years when the interest is compounded monthly.
The balance after 2 years is $.
Answer:
=$23,350.802
Step-by-step explanation:
Compound Interest (A)=P(1+r/n)^nt
Where,
P=principal=$20,000
r=Interest rate=7.77%=7.77/100
=0.0777
n=number of periods=12 month in a year
t=time=2 years
(A)=P(1+r/n)^nt
=$20,000(1+0.0777/12)^12×2
=$20,000(1+0.006475)^24
=$20,000(1.006475)^24
=$20,000(1.1675401)
=$23,350.802
Joanna went to school supply shopping. She spent $31.80 on notebooks and pencils. Notebooks cost $2.05 each and pencils cost $1.50 each. She bought a total of 19 notebooks and pencils. How many of each did she buy?
A.
11 notebooks; 8 pencils
B.
9 notebooks; 10 pencils
C.
6 notebooks; 13 pencils
D.
4 notebooks; 15 pencils
Answer:
C
Step-by-step explanation:
Total number of notebooks and pencils= 19
Assuming that she bought notebooks only,
amount spent
= 19($2.05)
= $38.95
Difference in actual amount spent
= $38.95 -$31.80
= $7.15
This difference in amount is due to the number of wrong assumptions we have made previously, such that we assumed that a certain number of pencils that she bought was notebooks. Thus, let's find the number of wrong assumptions so we can find out how many pencils she bought.
Cost difference of each notebook compared to a pencil
= $2.05 -$1.50
= $0.55
This means that for each wrong assumption, there is an additional $0.55 in the total amount Joanna spent.
Number of sets of extra $0.55
= $7.15 ÷$0.55
= 13
Thus, she bought 13 pencils.
Amount of notebooks bought
= 19 -13
= 6
Let's check our work!
If Joanna bought 13 pencils and 6 notebooks,
total amount spent
= 13($1.50) +6($2.05)
= $19.50 +$12.30
= $31.80
Thus option C is indeed correct as it is given from the question that she spent $31.80.
Answer:
correct answer is c
Step-by-step explanation:
Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater than 2 feet. In population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let pˆD represent the sample proportion for D, and let pˆE represent the sample proportion for E.
What is the probability that pˆD−pˆE is greater than 0.1917?
Answer:
Step-by-step explanation:
The probability is obtained by calculating the z score,
(pˆD−pˆE) - (PD - PE)
0.0914
10.1917-0.1
0.0914 = 1.0029
P(z > 1.0029) = 1 - P(z ≤ 1.0029)
The probability is obtained from the z distribution table,
P(Z > 1.0029) = 1-0.8420 = 0.1580
which statement is true?
Answer:
A
Step-by-step explanation:
line 1 is perpendicular to line 2 because of 90°.
line 2 is parallel to line 3 because of corresponding angles
Please help me . Find the value of x
Answer:
89
Step-by-step explanation:
1
To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top and bottom of the silo as shown in the diagram below. Approximate the height of the silo, rounded to the nearest foot.
By calculating angles and side lengths using trigonometric ratios and the Pythagorean theorem, we determined that the height of the silo (length CE) is approximately 18 feet.
Calculate angle ACD using the tangent trigonometry ratio:
Given AD = 8 feet and DP = 5 feet, we find C using tan(C) = AD/DP, which gives C = arctan(8/5) = 32 degrees.
Calculate angle BCA:
BCA = 90 - 32 = 58 degrees.
Calculate side length AC using the Pythagorean theorem:
Given AB = 5 feet and BC = 8 feet, AC^2 = AB^2 + BC^2, so AC = sqrt(89) = 9.4 feet.
Calculate the height of the silo (length CE) using the cosine ratio:
With AC = 9.4 feet and BCA = 58 degrees, cos(58) = BC/AC = CE/9.4. Solving for CE, we get approximately 17.7 feet.
Therefore, the height of the silo is approximately 18 feet.
Multiply and simplify:
(x + 3)2
A) x2 + 6
B) x2 + 9
C) x2 + 6x + 9
D) x2 + 9x + 6
Answer:
[tex] {x}^{2} + 6x + 9[/tex]
Answer C is correct.Step-by-step explanation:
[tex](x + 3) ^{2} \\ (x + 3)(x + 3) \\ x(x + 3) + 3(x + 3) \\ {x}^{2} + 3x + 3x + 9 \\ {x}^{2} + 6x + 9[/tex]
The expression [tex](x+3)^2[/tex] on multiplication and simplification becomes [tex]x^2+6x+9[/tex]. So, option c) is correct.
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, expression can be solved by following some basic steps as follows:
Firstly, solve the brackets.
Then perform multiplication and addition.
[tex](x+3)^2=(x+3)(x+3)=x\times (x+3)+ 3\times (x+3)\\(x+3)2=x^2+3x+3x+9\\(x+3)^2=x^2+6x+9[/tex]
So, on multiplication and simplification (x+3)2 becomes [tex]x^2+6x+9[/tex]. So, option c) is correct.
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Consider this right triangle with given measures. A right triangle has a side length of 5 feet and hypotenuse of StartRoot 61 EndRoot feet. What is the length of the missing leg? 6 ft 7 ft StartRoot 51 EndRootft StartRoot 86 EndRootft
Answer:
6ft
Step-by-step explanation:
correct on Edge 2020 :-)
6 feet is the length of the missing leg of the right angles triangle.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
A right triangle has a side length of 5 feet and hypotenuse of √61
We need to find the missing length which is x.
By pythagoras theorem we can find this.
√61²=5²+x²
61=25+x²
Substitute 25 from both sides
61-25=x²
36=x²
x=6
6 feet is the length of the missing leg
Hence, 6 feet is the length of the missing leg of the right angles triangle.
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Which value can be added to the set below without changing its mean?
{4, 10, 14, 18, 22, 22}
O 0
O 15
O 16
O 22
Answer:
15..
Step-by-step explanation:
4, 10, 14, 18, 22, 22
Mean = (4 + 10 + 14 + 18 + 22 + 22)/6
= 90/6
= 15.
Number to be added, 'y'
For the mean to be the same
(90 + y) / 7 = 15
90 + y = 15 × 7
90 + y = 105
y = 105 - 90
= 15
The equation of a circle is given below.
(x +1.6)2 + (y +9.8)2 = 26
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
units
As per the equation of the circle, the center of the circle is (-1.6, -9.8) units, and its radius is approximately 5.10 units.
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle, and r is the radius. By comparing the given equation with the standard form, we can easily identify the values of h, k, and r.
Comparing the given equation
=> (x + 1.6)² + (y + 9.8)² = 26
with the standard form, we find that h = -1.6 and k = -9.8.
These values represent the x-coordinate and y-coordinate of the center of the circle, respectively.
To find the radius, we need to take the square root of the constant term on the right side of the equation.
R² = 26
r = √26 ≈ 5.10 (rounded to two decimal places)
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The scatter plot below shows the points scored and the points allowed by the bulldogs football teamwork several games . Which association (corrrlation) best describes the data?
Answer: I think it is positive association
Step-by-step explanation:
I am not that sure
Joe counts 48 animals with 134 legs among the pigs and chickens on his far. All the pigs have 4 legs and all the chicken have 2 legs.How many pigs and chicken does he have?
Answer:
19 Pigs
29 Chickens
Step-by-step explanation:
19 pigs with 4 legs each =
19 x 4 = 76 legs
+
29 chickens with 2 legs each =
29 x 2 = 58 legs
-----------------------------------------------
48 animals total 134 legs total
Lexi earns $7 for each pillow she sews. Which table represents this proportional
relationship?
Pillows
5
7
9
Earnings ($)
35
49
63
Pillows
6
8
10
Earnings ($)
42
59
63
O Pillows
4
6
8
Earnings ($)
28
42 54
3
6
Pillows
9
10
Earnings ($)
13
16
Answer:
I got the fourth one
Step-by-step explanation:
if she earns 7 dollars for every sew you multiply each one to get the correct answer and see the sum of the money. because 7 times 35 and 7x7 is 49
Each time you click the "FLIP" button, the
computer will flip four coins at the same time. For
this experiment, "success" is a head.
Flip 1's number of successes:
Flip 2's number of successes:
Flip 3's number of successes:
Flip 4's number of successes:
DONE
Answer:
2
3
0
2
Step-by-step explanation:
Just did intro
Answer:
2
3
0
2
Step-by-step explanation:
just did it on edg
can you help please on this question i am stuck
Convert
4pie/3
to degrees.
PLS MARK BRAINLIEST
help me plz thank you :D
Answer:
Step-by-step explanation:
[tex]-10 + (-\frac{3}{4})=-10-\frac{3}{4}\\\\[/tex]
[tex]=\frac{-10*4}{1*4}-\frac{3}{4}\\\\=\frac{-40}{4}-\frac{3}{4}\\\\=\frac{-40-3}{4}\\\\=\frac{-43}{4}\\\\=-10\frac{3}{4}[/tex]
Joseph measured his height and found out that he was 5.9 feet tall. There are about 0.304 meters in 1 foot. About how many
meters tall is Joseph?
The height of Joseph in meters is 1.79 m.
What is Height?
Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it. Height refers to something measured vertically whether high or low.
Here, Height of Joseph = 5.9 ft.
1 feet = 0.304 m
5.9 ft = 0.304 X 5.9 m.
5.9 ft = 1.79 m.
Thus, the height of Joseph in meters is 1.79 m.
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Evaluate p+(-q)-2 where p = 3 and Q =5
Answer:
3+(-5)-2
Step-by-step explanation:
Answer:
-10
Step-by-step explanation: