In ΔOPQ, the measure of ∠Q=90°, QO = 61 feet, and OP = 83 feet. Find the measure of ∠O to the nearest tenth of a degree.


Answers

Answer 1

Answer:

∠ O ≈ 42.7°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos O = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QO}{OP}[/tex] = [tex]\frac{61}{83}[/tex] , thus

∠ O = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{83}[/tex] ) ≈ 42.7° ( to the nearest tenth )


Related Questions

​A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age.


x1: Rate of hay fever per 1000 population for people under 25



​144 89 119 119 125 136 91 109 111 108 116 123 120 121 115 123



A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old.



x2: Rate of hay fever per 1000 population for people over 50



​109 109 90 81 85 94 92 106 110 89 87 94 100 90



Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use α =0.05. If , will you reject or fail to reject the null hypothesis? Are the data statistically significant at confidence level α?

​​

a
​Since the P-value is less than the level of significance, the data are statistically significant. Thus, we fail to reject the null hypothesis.
b
​Since the P-value is greater than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis.
c
​Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we reject the null hypothesis.
d
​Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we fail to reject the null hypothesis.
e
​Since the P-value is less than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis.

Answers

Answer:

x8 9x

Step-by-step explanation:

What is its height?

Answers

Answer:

b im pretty sure

Step-by-step explanation:

ANSWER QUICK. I NEED ANSWER IN 5 MINUTES.​

Answers

Answer:

Plug the ordered pair (2,5) into the given equation, if it makes the equation true, then it is a solution.

Step-by-step explanation:

y = 2x + 3

substituting :  5 = 2(2) + 3

                       5 = 4 + 3

                        5 = 7, this is false, therefore (2,5) is NOT a solution

Answer:

A linear equation's solution would be a coordinate when the value of x and y satisfies the equation.

For Example:

[tex](1,7)[/tex] will be a solution to the equation [tex]y=3x+4[/tex], because if you replace x and y with one and seven it satisfies the equation.

[tex]y=3x+4\\y=7 \\x=1\\\text {Solve: }\\7=3(1)+4\\\rightarrow3*1=3\\7=3+4\\\boxed {7=7}[/tex]

[tex](1,7)[/tex] also lies on the equation's line.

Brainilest Appreciated.

Use the data set $19, $18, $15, $17, $19, $12, $19, and $15. Which measure of center would you use to convince people that the prices are high?
F. mean G. median
H. mode
I. none of these

Answers

Answer:

H. Mode: 19

Step-by-step explanation:

12, 15, 15, 17, 18, 19, 19, 19

Mean: 12 + 15 + 15 + 17 + 18 + 19 + 19 + 19 = 134/8 = 16.75

Mode: 19

Median: 17.5

I need someone help ASAP

Answers

Answer:

The first one is correct

8/3

A pair of snow boots at an equipment store in Big Bear that originally cost $80 is on sale for $56. What is the rate of discount?

Answers

Divide the sale price by the original price:

56 / 89 = 0.7

Multiply by 100:

0.7 x 100 = 70%

The sale price is 70% of the original price, so the discount would be 30% (100-70= 30)

Andrea bought 12 bagels and 10 muffins at the bakery. of these items 2/3 of the bagels were multigrain and 3/5 of the muffins were bran muffins. How many multigrain bagels did Andrea buy and how many bran muffins did Andrea buy

Answers

Answer:

She bought 8 multigrain bagels and 6 bran muffins

Step-by-step explanation:

If it says of, then it means multiply.

So it is 2/3 of 12 bagels, which is 2/3 x 12 which is 8

If it says 3/5 of 10 muffins, it is 3/5 x 10 which is 6.

what is the radius and diameter of the following circle

Answers

The radius is 12 and diameter is 23
Diameter = 24cm
Radius= Half the diameter
Radius= 12cm

help plz help plz help plz help plz​

Answers

Answer:

Step-by-step explanation:

21. 136° and b are supplementary, meaning they have a sum of 180°. This means that 136° + b = 180° → b = 44°.

22. Again, the angles are supplementary which means that 61° + b = 180° → b =   119°.

23. Again, they are supplementary which means that x - 22° + 135° = 180° → x + 113° = 180° → x = 67°.

24. I'm pretty sure you get the gist of this. 6x + 3° + 87° = 180° → 6x + 90° = 180° → 6x = 90° → x = 15°

Hope this helps!

Answer:

139o

Step-by-step explanation:

Which item has the most volume?

A. A grape

B. A ping-pong ball

C. A basketball

D. A tennis ball

Answers

it’s c. a basketball
the basketball has the most volume

2a+3/2 - a-2/3 = a-1/4

Answers

Answer:

No solutions

Step-by-step explanation:

[tex]2a+\dfrac{3}{2}-a-\dfrac{2}{3}=a-\dfrac{1}{4}\\a+\dfrac{5}{9}=a-\dfrac{1}{4}\\\dfrac{5}{9}=\dfrac{1}{4}[/tex]

This equation has no solutions. Hope this helps!

Answer:

No solution

Step-by-step explanation:

2a+3/2 - a-2/3 = a-1/4.

2a- a +3/2 - 2/3 = a-1/4. Add like terms

a + 5/6 = a - 1/4. Variables and numbers on diferent sides

-a. -5/6. -a. -5/6

0 = -13/12

No solution because there are no a's that can make the equation true

Here is a list of numbers:
-20, -6, -12, 18, 14, 18, -15,-9,-4,-10
State the median.

Answers

Answer:

-7.5

Step-by-step explanation:

Put all the numbers in order (least to greatest)

-20, -15, -12, -10, -9, -6, -4, 14, 18, 18

Find the number in the middle

-9 and -6

Add -9 and -6 together and divide by 2 to get median.

-7.5

what two numbers multiply to -42 and add to 19

Answers

Answer:

-2 x 21 = -42

21 + (-2) = 19

Step-by-step explanation:

Answer:-2 and 21

Step-by-step explanation: -2+21=19 and -2*21=-42

if the radius of the circular region is 5 yards what was the total length of the border to the nearest tenth of a yard

Answers

Answer: 31.4

Step-by-step explanation:

The circumference formula is 2πr

In this case, the r is equal to 5

5×2 is 10

10π

Plug that into a calculator

31.4

A line with a slope of 7 and an x-intercept of 4 passes through which of the following points?

A. (4,9)
B. (-3,7)
C. (3,-7)
D. (3,7)

Answers

A I think but I’m not postitive

2/3 X= -8

Please Help

Answers

Answer:x=-12

Step-by-step explanation:

Step 1: Multiply both sides by 3/2.

(3/2)*(2/3x)=(3/2)*(-8)

X=-12

Hope I helped

Look at the attached picture

Hope it will help you..

This table shows covalent compounds being investigated by five scientists. Each scientist wants to give a chemical name to the compound.




Which scientist(s) incorrectly named her compound? Check all that apply.


Adele

Ethel

Kate

Audrey

Halley

Answers

Answer:

Adele

Ethel

Kate

Audrey

Step-by-step explanation:

i know that oxygen is correct so thats my answe

Answer:

Audrey and Ethel

Step-by-step explanation:

It was on edge 2023

Which of the following inequality statements best represent the verbal expression? the product of a number and 2 is no more than 5
2a ≥ 5
2a ≤ 5
a + 2 ≥ 5
a+ 2 ≤ 5

Answers

I believe its the second choice

Answer:

b

Step-by-step explanation:

15 points
Help!!


If Sue worked 7 1/4 hours on Monday, 3 hours on Tuesday, 6 3/4 hours on Wednesday, 8 hours on Thursday, and 5 hours on Friday, calculate her weekly wage at $4.10 per hour

Answers

Answer:

$123

Step-by-step explanation:

Let's find the total amount of hours Sue worked. To do so, we'll do 7.25 + 3 + 6.75 + 8 + 5 = 30 total hours. Now, we'll multiply 4.1 by 30 because she receives $4.10 for every hour. 4.1 * 30 = $123. Hope this helps!

$123 if u add all the hours together u end up getting 30. 30 multiplied by 4.1 is 123

equivalent ratios to 10:30 there are three answers.​

Answers

Step-by-step explanation:

choice 1, 3, 5 ................

Answer:

1:3

2:6

5:15

Step-by-step explanation:

The volume formula for a right pyramid is V=
= Bh. What does Brepresent?
O A. Area of the base
B. Perimeter of the base
C. Length of the base
O D. Volume of the base

Answers

Answer:

A.Area of the base

Step-by-step explanation:

these is obtained by multiplying the length and width of the base to get the area of the base

The variable B in the Formula is area of Base.

What is Volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Pyramid volumes are measured by how much space they take up or by how many unit cubes can fit inside of them. A pyramid is a polyhedron because it has polygonal faces.

As, Volume of pyramid = (1/3) (Bh), where

B = Area of the base of the pyramid

h = Height of the pyramid.

So, B in the Formula is area of Base.

Learn more about volume here:

https://brainly.com/question/24086520

#SPJ7

Maria drew a shape with four sides. The shape had one pair of parallel opposite sides. What kind of shape did Maria draw? Write the name of the shape.

Answers

Answer:

Marie could have drawn a parallelogram or A trapezoid  

Step-by-step explanation:

one pair of parallel opposite sides.

The expression 1 + tan² x is equivalent to

Answers

Answer:

= sec² (x)

i dont know if it is correct.

What is this histogram please help ASAP!

Answers

Answer:

skewed left

Step-by-step explanation:

The data distribution is significantly higher on the left, making it skewed to the left.

Answer: B or option 2, "Skewed Left"

Why did donald trump take a hump on a speed bump

Answers

Answer:

Because he's an idiot

Step-by-step explanation:

Answer:

Because...

Step-by-step explanation:

he's our wack president

what is the value of y?
A. 40°
B. 30°
C. 120°
D. 60°

Answers

Answer

60

Step-by-step explanation:

A triangle is 180 degrees. So first since you have one of the degrees you will do 180-60=120. Since the 2 ys are the same you can just divide 120 by 2. Which is 60. So y=60

Answer:

D - 60° because all the angles in a triangle add up to 180°

Complete the table for the given rule. Rule: y=x-3

Answers

Answer:

x y

7 4

4 1

10 7

(would really, reallly appreciate the brainliest)

Answer:

x y

7 4

4 1

10 7

Increases about 1.3

Cory has a rectangular piece of cardboard that measures 36 inches 24 inches. He cuts out squares of 4 inches from each corner of the cardboard. Then he folds and tapes the sides together to make an open box 36 inches 24 inches What is the volume of the open box?

Answers

Answer:

1792 cubic inches

Step-by-step explanation:

The rectangular cardboard measures 36 inches by 24 inches.

If he cuts out squares of 4 inches from each corner of the cardboard.

See the attached image

The Length of the  box =36-4-4=28 inches

The Width of the  box =24-4-4=16 inches

Height of the Box =4 Inches

Therefore:

Volume of the open box =28 X 16 X 4

=1792 cubic inches

Will mark brainliest PLEASE HELP!!! 20 points

The coordinates of point A are (6,2).
The coordinates of point B are (2, 6).
Line AB is transformed to form line A'B' shown in the graph:





What is the transformation of line AB that results in line A'B'?
Line AB is

A reflected across the y-axis
B reflected across the x-axis
C rotated 180°
D translated

Answers

Answer:

B. reflected across tge x axis

Answer:

The answer is B

Step-by-step explanation:

i will mark brainliesttt!

Answers

Answer:

35 degrees

Step-by-step explanation:

90 -55 = 35

Answer:

35 is the measure of its complimentary angle!

Step-by-step explanation:

Complimentary angles have a sum of 90.

90-55=?

35 is the measure of its complimentary angle!

Hope this helps! Please mark brainliest :)

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