In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest
tenth of a cm, how long is that leg?

Answers

Answer 1

Answer:

36.5 cm

Step-by-step explanation:

Answer 2

The Adjacent leg is 36.5 cm

What are trigonometric functions?

"The trigonometric functions (also called circular functions, angle functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."

What is hypotenuse, opposite and adjacent side of a right angled triangle?

"In a right angled triangle, the hypotenuse is the longest side, an opposite side is the one across from a given angle, and an adjacent side is next to a given angle."

We have

Hypotenuse (AB) = 58 cm

Angle θ = 51 degree

From the figure, by using trigonometric functions

Cos θ = [tex]\frac{BC}{AB}[/tex]

we have to find BC

Cos [tex]51^{0}[/tex] = [tex]\frac{BC}{AB}[/tex]

We have, AB = 58 cm

BC = AB cos [tex]51^{0}[/tex]

⇒BC = 58 . cos [tex]51^{0}[/tex]

⇒BC = 36.50 cm

⇒BC = 36.5 cm

Hence, Adjacent leg is 36.5 cm

Learn more about trigonometric functions here

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Related Questions

Janine charges $8.25 per hour to walk dogs. She
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?

Answers

Answer:

walks dogs for 3 hours on Saturday and 4 hours on

Sunday. She calculates her total pay to be $57.75.

Which equation could be used to check the reasonableness of her total?

Step-by-step explanation: concept

Answer: Multipulcation

Step-by-step explanation:

The reason why is because you would first need to calculate how much she is owed [8.25 x 3 +(8.25 x 4)]

Jamal can run 0.5 miles in 4 minutes. If he keeps the same pace and runs for 14.4 minutes, how many miles will he have run?

Answers

Answer:

1.8

Step-by-step explanation:

First, we calculate the speed. That is 0.5/4. Then we multiply by the min. he ran which is 14.4. The answer gets you to 1.8

By the way, can you follow me on Brainly?

Thanks!

Answer:

14/4=3.5

3.5x0.5=1.75 miles

He will have run 1.75 miles

Jamar's car used 1/40 ​ of a gallon to travel 3/8 ​ of a mile. How many miles can the car go on one gallon of gas?

Answers

Answer:

15 miles.

Step-by-step explanation:

3/8 x 40 = 120/8

now divide,

120/8 = 15

A baseball team loses twice as many games as it wins.The baseball season is 162 games long.How many games will the team lose

Answers

Answer:

The team will lose 108 games

What is 0.8 m3 when converted in cm3?

Answers

Answer:

80 cm3

Step-by-step explanation:

100 cm = 1 m

.8m * 100 - 80cm

Which of the following is equivalent to the square root of -75

PLEASE HELP​

Answers

I dont have square root sorry the answer is the first one because you will simplify 75 to 5 3

Answer:

1st answer 5i√3

Step-by-step explanation:

Answer choices

A) 0.16

B) 0.475

C. 0.84

D. 0.975

Answers

Answer:

I think it's B)

Step-by-step explanation:

y=3x+5


you have to graph it

Answers

Try using m4thway or photom4th

1 A local college rents calculators to students
taking math classes. The cost to rent the
calculator is $5 per month plus a
nonrefundable fee of $10. Write an equation
to represent the cost, c, of renting a
calculator for m months.
2
Fleanor hart

Answers

link is scam dont use it or put it in pls :)))) it’s like. boy

marcus and anthony are selling camping equipment to try to earn money to buy three new gaming systems. Last month they sold backspacks for $25 a piece and surviaval kits for $29.50 a piece and made $749.50 they sold a total of 28 backpacks and survival kits. How many backpacks did they sell? How many survival kits did they sell?

Answers

Answer:

28 each

Step-by-step explanation:

+25 for backpacks

+749.50

1. A baker bought 12 pounds of flour. He used 5/8 of the flour. How many pounds of flour are left?

Answers

Answer:

7 1/2 pounds

Step-by-step explanation:

12/1 x 5/8 = 60/8 = 7 4/8 = 7 1/2

How much is 2/9th of 234.900?

Answers

Given:

The number is 234.900.

To find:

The [tex]\dfrac{2}{9}[/tex]th of 234.900.

Solution:

We need to find the [tex]\dfrac{2}{9}[/tex]th of 234.900. So, multiply [tex]\dfrac{2}{9}[/tex] and 234.900 to get the required value.

[tex]\text{Required value}=\dfrac{2}{9}\times 234.900[/tex]

[tex]\text{Required value}=\dfrac{469.800}{9}[/tex]

[tex]\text{Required value}=52.200[/tex]

Therefore, the [tex]\dfrac{2}{9}[/tex]th of 234.900 is 52.200 or it can be written as 52.2.

how do you find the area of the attached shape?

Answers

Answer:

You would find the area if each individual shape inside the shape and then add all the areas together to get your final product

someone help me pls

Answers

Answer:

x=10

Step-by-step explanation:

Both of the tangents will be equal.

6x+17=16x-8

or, 10x=25

So, x=2.5

Rounding to the nearest tenth is 10.

A small plane is 4 miles by land away from the airport. The angle of elevation from the airport to the airplane is 6.50? What is the altitude of the plane? Round your answer to the nearest tenth of a mile. 0.1 mile b. 0.5 mile 35.1 miles d. 8.6 miles​

Answers

Answer:

tana=h/x

tan6.5=h/4

h=4tan6.5

h=0.5 mi

Step-by-step explanation:

I hope this helps u! :D

Explain please answer

Answers

Answer:

69.08

Step-by-step explanation:

2×3.14=6.28

6.28×11=69.08

The volume of smaller rectangular prism V = 512 cm3,
the volume of larger rectangular prism V= 4,096 cm3.
What is the ratio of the height of the smaller rectangular prism to the height of the larger rectangular prism?
Write an answer as the ratio of two whole numbers separated by colon. (example: 2:3)

Answers

512:4,096 or if we were reducing
1:8

Ms. jones wants to take her students for all of her classes on a field trip to see a Broadway production. There are three shows to choose from. She wants to determine which show students would like to see. which sample would be the most appropriate for this survey?

A: Every fifth student that enters her classroom

B: Her Honors class

C: 5 boys in each of her class

D: At the end of the day, ask teachers what they think student will like

Answers

Answer:

A

Step-by-step explanation:

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A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use pi equals 3.14. help

Answers

Answer:

V = 262.61 m³

Step-by-step explanation:

Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.  

To find: Volume of the cone

Formula: The formula for the volume of a cone is V = 1/3hπr².  

Solve: The base area of the cone. π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however, the value 3.14 is often used.

V = π × r² × h / 3

π × r²

V = 262.610935 m³

In the nearest tenths, the volume of the cone is V = 262.61 m²

Find x when f (x)= 25

Answers

What is the equation? F(x) is y

10 ft
А
- “不
6 ft
v
10 ft -
12 ft
B
C | 12 ft
4 ft
4 ft

Answers

Answer:

58

Step-by-step explanation:

case I added it and I m right

What is the value of [4-9472
0 -36
0-33
-32
0-30

Answers

Answer:

Su búsqueda - ¿Cuál es el valor de [4-9472 0 -36 0-33-32 0-30 - no produjo ningún documento.

Sugerencias:

Asegúrese de que todas las palabras estén escritas correctamente.

Pruebe diferentes palabras clave.

Prueba palabras clave más generales.

Pruebe con menos palabras clave.

Step-by-step explanation:

Byron collected data comparing the height in centimeters of several tree seedlings and their age in weeks. The scatterplot shows the data he collected.
Based on the scatterplot, what is the best prediction of the height of a seedling that is 10 weeks old?
A-15cm
B-24cm
C-4cm
D-18cm

Answers

Answer:

24

Step-by-step explanation:

I've found the graph for this question and every time I alligned it, I got 24

I
Which ordered pair could you add to the following list of points to
create a function? (3,5) (4, 9) (2,5)
(4, 1)
(2,6)
(3,7
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Answer:

2-6

Step-by-step explanation:

5 673226

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Step-by-step explanation:

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Nice to meet you too!!

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Carissa recently retired, and has $540,000 in savings. She wants to invest as much as possible in a safe CD account paying 1.2% interest, and as little as possible in a riskier bond paying 4.7% interest. She needs to earn $14,880 a year in interest to cover expenses above SSI. How much should she invest in each account?

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They will try ro scam you

Lucas used the number sentence 8 x 2 = 16 to solve a problem. Which problem could he have solved? ​

Answers

Answer:

Word problem 3        

Step-by-step explanation:

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write the sentence as an inequality.
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Answers

Answer:

-7<k<-1

Step-by-step explanation:

k is greater than negative seven, and

-1 is greater than k

The scatter plot shows (no correlation/ a positive correlation/ a negative correlation)

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Answers

Answer: a positive correlation, increase, 0.5

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