Mathematics High School

Find the length of ST. Round your answer to the nearest tenth of an inch.

Answers

Answer 1

Answer:

7.1

Step-by-step explanation:

Once again we can use trig ratios to solve for ST

First we must recall the trig function

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

We are given the measure of an angle and the length of the hypotenuse

Of the given angle we need to find the adjacent side length

When working with the hypotenuse and adjacent we use trig function cosine

That being said we want to create an equation ( remember cos = adjacent over hypotenuse ) ( let ST = x)

[tex]cos(42)=\frac{x}{9.5}[/tex]

now we solve for x

Step 1 multiply each side by 9.5

[tex]cos(42)*9.5=9.5cos(42)=7.059875842\\\frac{x}{9.5} *9.5=x[/tex]

we're left with x = 7.059875842

Finally we round to the nearest tenth and get that the answer is 7.1

Related Questions

Hello! Would appreciate help!!

Find the value of x. Round to the
nearest tenth.

Answers

Answer:

17.14

Step-by-step explanation:

tan 35 = 12/x

x = 12/ tan 35

= 17.14

What are the measures of ∠1 and ∠2?

Answers

Answer:

Angle 1 = 102

Angle 2 = 40.9

Step-by-step explanation:

[tex]1)\ 180 - 121.8 = 58.2[/tex]

[tex]2)\ angle\ 2 = 58.2 - 17.3 = 40.9[/tex]

[tex]3)\ angle\ 1 = 180 - 40.9 - 37.1 = 102[/tex]

Answer:

m∠1 = 67.4° m∠2 = 104.5°

Step-by-step explanation:

17.3 + m∠2 = 121.8

m∠2 = 104.5°

m∠1 + 37.1 = m∠2 = 104.5

m∠1 = 67.4°

What percent of the data is between 30 and 50 on the number line?

Answers

Answer:

20 percent

Step-by-step explanation:

50 - 30 = 20 percent

it is 20!! because 50-30=20

help asap pleaseeee !!!!!!

Answers

Answer:

C. ⅓ × (8 + 7) + 12

Step-by-step explanation:

Let's translate each statement given to numerals and symbols first:

Twelve => 12

One-third => ⅓

Sum of 8 and 7 => (8 + 7)

Representing this statement altogether will be:

⅓ of (8 + 7) = ⅓ × (8 + 7)

If 13 is added, we would get:

⅓ × (8 + 7) + 12

Choose a number sentence is that illustrates distribute property of multiplication over addition 2×7+8 = 2+7×2+8

Answers

Answer:

[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]

Step-by-step explanation:

Given

[tex](a)\ 2 * (7 + 8) = (2 + 7) * (2 + 8)[/tex]

[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]

[tex](c)\ 2 * (7 + 8) = (2 * 7) + 8[/tex]

Required

Which illustrates distributive property of multiplication over addition

The property states that:

[tex]a(b + c) = a * b + a * c[/tex]

By comparison

[tex]a = 2\ b = 7\ c = 8[/tex]

So, we have"

[tex]2(7 + 8) = 2 * 7 + 2 * 8[/tex]

[tex]2(7 + 8) = (2 * 7) + (2 * 8)[/tex]

The diameter of a circle measures 20 yd. What is the circumference of the circle?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
20 yd
yd

Answers

Answer: 62.8 yd

Step-by-step explanation:

Circumference= diameter*pi

20*3.14= 62.8

a centre seat costs 25£ less than an aisle or window seat. A window or aisle seat costs a and a centre seat costs £271.complete the equation that describes this. how much does an aisle or window costs?

Answers

Answer:

246

Step-by-step explanation:

271-25=246

anyone knowww thiusss ?

no scammers pleaseeee

Answers

Answer:

about 9cm

Step-by-step explanation:

Muliply the radius by itself: 16x16

Mulitply the answer by 3.14.

Answer:

Good

I think its the second but i'm not sure because there are no measurements

Good luck

Janette measures the heights in inches of some of the flowers in her garden to see which ones are growing more. The heights are listed below. Which line plot represents the data correctly? 7 1 2 712 7 7 7 1 2 712 6 3 4 634 7 1 4 714 7 1 4 714 7 1 4 714 7 7 6 1 2 612 7 3 4 734 7 3 4 734 6 3 4 634 8 1 4 814 7 7 7 1 2 712 7 7 7 1 4 714 7 7 7 1 2 712 7 1 2 712

Answers

Answer:

Dot plot A

Step-by-step explanation:

In other obtain the solution to the question given, we obtain the frequency distribution of the data values given and compare to the box plots given to identify which boxplot correctly conveys the data.

___ Frequency

6 1/2 - 1

6 3/4 - 2

7 = 5

7 1/4 = 4

7 1/2 = 5

7 3/4 = 2

8 1/4 = 1

Identify the net that corresponds to the figure below. A. B. C. D.

Answers

Answer:

The net that corresponds to it is ,B

A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?

Answers

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³ (1)

Vc = π r² h (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

Vs = 4/3 Vc

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

PLEASE HELP ASAP I have no idea how to solve this pls pls pls

Answers

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

A small toy car costs $3. A large toy car costs 5 times as much as the small one.
Aaron wants to buy one of each. Which equation can he use to find the cost (a)
of the two cars?

Answers

Answer:

(3 x 1) + (3(5) x 1) = a

Step-by-step explanation:

find the cost of 24 piece of shshi from each restaruant

Answers

Answer:

sushi* and there is no picture.

Step-by-step explanation:

What is the length of leg s of the triangle below?

Answers

Answer:

E. 8

Step-by-step explanation:

It's a special right angle triangle. Hypotenuse is

[tex] \sqrt{2} x[/tex]

where x is the length of other legs. Also other two sides of triangle are always equal.

So to find the other leg divide by .

[tex] \sqrt{2} [/tex]

The length will be 8.

what is the value of x?

Answers

15 ehdhbdbbfbfhfhfbrfhhfhfhfhfhfhfhhfhfhfhfhfhhffjjfh

15 is the answer bdbdjjsjwushs

HELP 30 POINTS please in a hurry
Is the relation shown below a function? Use the graph below to justify your response.
(0, 0), (2, 0), (2, 2), and (3, 4)

Answers

To be a function every input value (x) can only have one output value (y)

On the graph there are 2 out put values for x = 2 so it is not a function.

The answer would be C.

Water is coming out of a fountain is modeled by the function f(x)=-x^2+8x+2 where f(x) represents the height, in feet, if the water from the fountain at different times x, in seconds

Answers

The answer would be 1

Jack wants to purchase a DVD player who’s price was $162.50 he has $50 only how much more money does Jack need to purchase the DVD player

Answers

$112.50 is how much jack will need

Jack needs $112.50 to purchase the DVD player

$162.50- 50= 123.50

The radius of a circle is 4 feet. What is the circle's circumference?Use 3.14 for
r=4 ft

Answers

Answer:

50.24 is the circumfrence

If we were to use actual pi the answer would be -

50.26548246

Answer:

25.12

Step-by-step explanation:

2pi4=2*3.14*4=25.12

conviince me for my question (brainliest plzz)

What is the answer to this?-

Answers

Answer:

Yes it is congruent by HL

What is the average rate of change of f(x)=x2+x−6 between x=1 and x=3 ?

A
5

B
–5

C
15

D
10

Answers

Answer:

Step-by-step explanation:

Substitute 1 in place of x and the result is -4.

Again substitute 3 in place of x and the result is 6.

Change=6-(-4)=10

Find the volume of a cylınder whose base is a circle with a diameter of 18 inches.

Answers

Answer:

257.48 inches

Step-by-step explanation:

pi * radius^2 * Hight

find radius by dividing the diameter in half

pi = 3.14

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