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AnnZ [28]
2 years ago
6

A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the b

ase of the ladder? round your answer to the nearest hundredth.
Mathematics
1 answer:
zaharov [31]2 years ago
8 0

The distance between the building and the ladder is 34.876 foot.

<h3>What is a Right Triangle?</h3>

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

To learn more about trigonometric functions from the given link

brainly.com/question/24336684

#SPJ4

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Tilda makes a scale model of the Titanic. . The actual Titanic was 175 feet tall, Tilda's model is 35 inches tall. What is the s
Greeley [361]

Answer: 1:60

Step-by-step explanation:

Given

The actual titanic is 175 ft tall

Tilda's model is 35 inches tall

first, convert inches into ft

35\ in.\equiv \dfrac{35}{12}\ ft

scale used is

\Rightarrow \dfrac{\dfrac{35}{12}}{175}\\\\\Rightarrow \dfrac{35}{12\times 175}\\\\\Rightarrow \dfrac{1}{12\times 5}=\dfrac{1}{60}

Thus, the scale is 1:60

7 0
2 years ago
Ella and Iris are planning trips to nine countries this year. There are 12 countries they would like to visit. They are deciding
NISA [10]

Using the combination formula, it is found that there are 220 ways to decide which countries to skip.

The order in which the countries are skipped is not important, hence the <em>combination formula </em>is used to solve this question.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 3 countries are skipped from a set of 12, hence the number of ways is given by:

C_{12,3} = \frac{12!}{3!9!} = 220

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

5 0
2 years ago
Please help me..............................
myrzilka [38]

Answer:

y = 12

Step-by-step explanation:

∵ m∠ABC = 40

∵ BD ray is the bisector of ∠ABC

∴ m∠ABD = m∠CBD = 20

In 2 Δ BAD and BCD:

∵ m∠BAD = m∠BCD = 90°

∵ m∠ABD = m∠CBD = 20°

∵ BD is a common side in the two triangles

∴ ΔABD congruent to ΔCBD⇒(AAS)

∴ AD = CD

∴ 3y + 6 = 5y - 18

∴ 5y - 3y = 6 + 18

∴ 2y = 24

∴ y = 24/2 = 12

6 0
3 years ago
PLEASE HELP!
Naddik [55]

Diane's question is not a statistical question because there <u>is not</u> variability in the response, and because data <u>has</u> to be collected to answer it.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−<em>Kallmekrish</em>

8 0
2 years ago
Ratios Rates and Proportion
seraphim [82]
56 for 3 is the lowest price
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