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EastWind [94]
3 years ago
12

a ladder 30 decimeters long is leaning against the side of a building. the ladder makes an angle of 25 degrees with the side of

the building. how far up from the ground does the ladder touch the buildings?

Mathematics
1 answer:
ozzi3 years ago
8 0
H=how far up from the ground does the ladder touch the building
h/30=sin 25°
h=30 sin 25°
h=12.7 decimeters(1 decimal place)
Answer: The height that the ladder touch the building far up from the ground is 12.7 decimeters.


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Visitors to a cinema are either children, adults or pensioners the ratio of children to adult visitors is 1 : 2 the ratio of adu
Juliette [100K]

Answer:

the number of pensioners in the sample is 40

Step-by-step explanation:

The computation of the number of pensioners in the sample is shown below:

Given that

The Ratio of children to adult visitors is 1:2

The ratio of adults to pensioners is 3:4

And, the total number of seats is 85

Based on the above information,

The common ratios we could write as

1.5 : 3 : 4

Now we doubled it

3 : 6 : 8

So, the number of pensioners in the sample is

= 85 × 8 ÷ (3 + 6 +8)

= 40

Hence, the number of pensioners in the sample is 40

5 0
2 years ago
Model and solve linear equations<br><br>Solve this.<br>50 + 0.25w = 25 + 0.50w
gavmur [86]
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2 years ago
In ΔSTU, the measure of ∠U=90°, US = 7.4 feet, and ST = 9.4 feet. Find the measure of ∠T to the nearest degree.
andrezito [222]

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Step-by-step explanation:

7 0
3 years ago
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Given the following functions:
andrew-mc [135]

Answer:

x^2 - 6x + 9.

Step-by-step explanation:

f(x) = x^2 and g(x) = x - 3.

To find f(g(x))  we replace the x in f(x) by g(x).

f(g(x)) = (x - 3)^2

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5 0
3 years ago
3² • 9³ = [ ]<br>solve ​
RideAnS [48]

Answer:

3⁸ or 6561

Step-by-step explanation:

First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

There are no parentheses, so let's solve the exponents.

3² • 9³

3² = 9

9³ = 729

Your expression is:

9 • 729

Now let's multiply.

= 6561

This number can also be expressed with exponents.

Since 9 = 3², 9³ = 3²⁽³⁾

Now your expression is:

3² • 3²⁽³⁾

First, solve the exponents by multiplying.

3² • 3⁶

When you multiply two expressions with exponents that have the same base (3), you add the exponents.

3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸

3⁸ also equals  6561.

Your answer is 3⁸ or 6561.

Hope this helps!

4 0
2 years ago
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