Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest tenth.

Find The Value(s) Of The Variable(s). If Necessary, Round Decimal Answers To The Nearest Tenth.

Answers

Answer 1

Answer:

x = 16.2

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 54°

Hypothenus = 20

Opposite = x =?

The value of x can be obtained by using the sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 54° = x / 20

Cross multiply

x = 20 × Sine 54

x = 20 × 0.8090

x = 16.2

Thus, the value of x is 16.2


Related Questions

Kevin wants to hike the Pacific Crest Trail, which is 2,653 miles long. If Kevin wants to
finish the hike in 7 months, how many miles should he hike each month?
miles

Answers

Answer:

378

Step-by-step explanation:

2,653 divided by 7

The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results? What is the estimate of the mean proportion of failures for these instructors?

INSTRUCTOR NUMBER OF FAILURES
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16

Answers

Answer:

D. 16

Step-by-step explanation:

A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:

MACHINE MEASUREMENTS

#1 17 15 15 17

#2 16 25 18 25

#3 23 24 23 22

In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35

Answers

Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Binomial approximation to normal.

The binomial probability distribution has parameters n, p and q.

If

[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.

1. n = 24, p = 0.85, q = 0.15

[tex]np = 24*0.85 = 20.4 > 5[/tex]

[tex]nq = 24*0.15 = 3.6 < 5[/tex]

So no.

2. n = 15, p = 0.70, q = 0.30

[tex]np = 15*0.7 = 10.5 > 5[/tex]

[tex]nq = 15*0.3 = 4.5 < 5[/tex]

So no.

3. n = 18, p = 0.90, q = 0.10

[tex]np = 18*0.9 = 16.2 > 5[/tex]

[tex]nq = 18*0.1 = 1.8 < 5[/tex]

No

4. n = 20, p = 0.65, q = 0.35

[tex]np = 20*0.65 = 13 > 5[/tex]

[tex]nq = 20*0.35 = 7 > 5[/tex]

Yes


A spinner is shown below. What is the probability of the spinner
not landing on a striped section?

Answers

Answer:

[tex] \frac{7}{8} [/tex]

answer this please thanks

Answers

Answer:

4. c

6. e, a

Step-by-step explanation:

Hopefully, it correct

Jerome wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.

Answers

Answer:

24 [tex]\frac {3} {8}[/tex] m

Step-by-step explanation:

[tex]\frac{15}{2}[/tex]×[tex]\frac{13}{4}[/tex]

[tex]\frac{15x13}{2x4}[/tex]

Simplify

[tex]\frac{195}{8}[/tex]

Answer: 24 [tex]\frac{3}{8}[/tex] m

The area of the grass seed Jerome needs to cover is A = 34.375 m²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the grass seed needs to cover be A

Now , the area of the lawn L = ( 11 3/4 ) x 5 m²

The area of the lawn L = 58.75 m²

where the length of the pool l= ( 7 1/2 ) m = 7.5 m

The width of the pool is w = ( 3 1/4 ) m = 3.25 m

Now , Area of Rectangle = Length x Width

On simplifying , we get

Area of the pool P = 7.5 x 3.25 = 24.375 m²

Now , the area of the grass seed needs to cover A = L - P

The area of the grass seed needs to cover A = 58.75 m² - 24.375 m²

The area of the grass seed needs to cover A = 34.375 m²

Therefore , the value of A is 34.375 m²

Hence , the area of the grass seed is 34.375 m²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ3

One half of a number , n is at most 24

Answers

Answer:

So if N is 24, then the number is 12.

Step-by-step explanation:

24 / 2 = 12

What are the polar coordinates of the rectangular coordinates (2, -2√3)?

A. (4, 11π/6)
B. (4, 5π/3)
C. (2, 5π/3)
D. (2, 11π/6)

Answers

9514 1404 393

Answer:

  B.  (4, 5π/3)

Step-by-step explanation:

If you sketch the location of the point, you find the coordinates correspond to the side lengths of a 30°-60°-90° "special" triangle. The reference angle is 60°, or π/3 radians, and the magnitude of the vector is twice the short dimension, so is 2×2 = 4.

The polar coordinates are (4, 5π/3).

PLEASEEEE I NEED IT ASAP 51 POINTS IS THE MAX I CAN GIVE PLEASEEEEE HELP ME

Answers

Answer:

A

Step-by-step explanation:

2(10+7)

2(17)

=34

Answer:

the answer is a

Step-by-step explanation:

10 times 2 plus 7 times 2=34

For the following right triangle, find the side length x, Round your answer to the nearest hundredth.
12
x
6

Answers

Answer:

x=12

Step-by-step explanation:

PLEASE HELP ASAP!!! WILL MAKE YOU THE BRAINLYIST!!!!
Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?

Answers

15 ppl would fit

Bc if you find the area of the dance floor which is 20 feet times 30 feet it equals 60 feet. Then multiply how much space someone takes which is 2 feet times 2 feet equals 4 feet. Then you divide the area of the dance floor by the number for F space one person takes up which is 60÷4. You would get 15 people

What equation is represented by this graph?

Answers

Answer:

y= 1.2x+1

Step-by-step explanation:

(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1

double check:

y = 1.2(-5) + 1

y = -6 + 1

y = -5

coordinates : (-5,-5)

help me pls mathhh mhm

Answers

Answer:

f = -15

Step-by-step explanation:

3(f/3) equals f

3(-5) equals -15

The final equation becomes: f = -15

Find the probability

Answers

Answer:

33.3333%

Step-by-step explanation:

each side would be 50% and if one side is split between three it would equal if it was 16.6667 each

since tehre are two red sides multiply 16.6667 by 2 and u get 33.3333%

Write each product using an exponent.

9 × 9 × 9 × 9

Answers

Answer:

9^4 is what you’re looking for right?

Step-by-step explanation:

Answer:

9^4

Step-by-step explanation:

The number 9 is timed for 4 times (sorry for my broken english as my english is bad)

1) A store sells small and large TV sets in the ratio 2:3. The total stock is 70
sets.1) How many small and large sets are in stock? 2)If the number of large
sets is increased by 8,what is the new ratio of small to big*

Answers

Answer:

(a)

[tex]Small = 28[/tex]

[tex]Large = 42[/tex]

(b)

[tex]Ratio = 14 : 25[/tex]

Step-by-step explanation:

Given

[tex]L = Large\\ S = Small[/tex]

[tex]S : L = 2 : 3[/tex]

[tex]Total = 70[/tex]

Solving (a): Number of each set.

The small set is calculated as:

[tex]Small = \frac{S}{S + T} * Total[/tex]

[tex]Small = \frac{2}{2+3} * 70[/tex]

[tex]Small = \frac{2}{5} * 70[/tex]

[tex]Small = 0.4 * 70[/tex]

[tex]Small = 28[/tex]

Using complement rule.

[tex]Large = Total - Small[/tex]

[tex]Large = 70 - 28[/tex]

[tex]Large = 42[/tex]

Solving (b): Increase large by 8.

The ratio is then calculated as:

[tex]Ratio = Small : Large + 8[/tex]

[tex]Ratio = 28 : 42 + 8[/tex]

[tex]Ratio = 28 : 50[/tex]

Divide by 2

[tex]Ratio = 14 : 25[/tex]

4. What happens to the average kinetic energy of matter when heated?​

Answers

Kinetic energy increases, and particles move more

Answer:

because it is melted

Step-by-step explanation:

let

body heating on 100c and its average is 50

An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder?


8.2 inches


10.4 inches


12.1 inches


23.6 inches

Answers

C Correct ~~~~~~~~~~~~~~~~~~~~~~

By using the formula for the volume of a cylinder we will see that the approximate radius must be 8.2 inches.

How to get the radius of the cylinder?

Remember that for a cylinder of radius R and height H the volume is:

[tex]V = 3.14*R^2*H[/tex]

In this case, the height is twice the radius, so we have:

H = 2R

[tex]V = 3.14*R^2*2R = 6.28*R^3[/tex]

And we know that the volume must be 3,500 in^3, now we can replace that and solve for R, we will get:

[tex]3,500 in^3 = 6.28*R^3[/tex]

[tex](3,500 in^3/6.28)^{1/3} = R = 8.2 in[/tex]

The approximate radius of the cylinder must be 8.2 inches.

If you want to learn more about cylinders you can read:

https://brainly.com/question/9554871

Three more than four times the difference of x and 2 is 36

Answers

Answer:

3+4 (x - 2) =36 x= 10.25

Step-by-step explanation:

Write an equation to represent the following description. Seventeen more than eight times a number is −6.

Answers

8x + 17 = -6


(you can use a different variable to replace x if you need to :D)

Approximately how many gallons are in
7 liters? (1 L -0.26 gal.)
A 1.8 gal
C 7.3 gal
B 6.7 gal
D 46 gal

Answers

Answer:

A po ang answer kahit icompute pa po.

Step-by-step explanation:

hope it helps you po!


izllllllllllllllllllll

Answers

Answer:

32 :P

Step-by-step explanation:

10x2 is 20, 6x2 is 12, and 12+20=32


Hey y’all answers in the picture ABC or D. Plz help

Answers

Answer:

D

Step-by-step explanation:

Lets use the the chart. The (5,9) if the 5 was doubled that it would equal to 10. Now you subract 1 from it making it 9.

Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.

Answers

Answer:

a) There is an integer a such that  [tex]\frac{a-1}{a}[/tex] is  an integer

b) False

Step-by-step explanation:

Statement : ∀a ∈ Z,    (a − 1) a is not an integer

A) The correct negation will be :

There is an integer a such that  [tex]\frac{a-1}{a}[/tex] is  an integer

B) The Given statement is FALSE because

when we assume the value of a = 1

( a - 1 ) / a = (1 - 1 ) / 1 = 0   ;  which is an integer

PLEASE HELP!! I WILL GIVE BRAINLIEST IF YOU SHOW YOUR WORK!

Answers

Answer:

Step-by-step explanation: You would add 2 to your diameter to every circle which will lead to 17.5 as your radius. Then you would use the formula A=πr2.(r^2 is the same thing as the diamiter). This then will get you a circumfrence of 962.11.

Find the sum of -3x^2-4x+3−3x 2−4x+3 and 2x^2-x+32x 2 −x+3.

Answers

Answer:

28x^2-10x+9

Step-by-step explanation:

28x^2-10x+9

find the median of the list of data. 12, 18, 21, 25, 30, 43

Answers

Median is the middle number
=21 and 25
(21+25)/2
=23

Mr. Thorbes bought a new journal for his poetry. If the journal normally cost $22 but was on sale for 20% off, how much did Mr. Thorbes save?

Answers

Answer:

He would save $4.40

Step-by-step explanation:

And in total he would pay 17.60

HURRY! What is the circumference of the circle below? Use 3.14 for π.

Answers

Answer:

2.14 divided by 5 x 2 is the ansewer

Step-by-step explanation:

What is the value of
2/3 + 3/7

Answers

Answer:

1 2/21

Step-by-step explanation:

:)))

23/21 or 1 2/21
I hope this helps!
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