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dimaraw [331]
3 years ago
5

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1 2 inches long. The scale

of the floor plan is 1 4 inch = 1 foot. What is the actual length of Hector’s room? A) 13 feet B) 14 feet C) 15 feet D) 16 feet
Mathematics
2 answers:
romanna [79]3 years ago
8 0
     Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1 2 inches long. The scale of the floor plan is 1 4 inch = 1 foot. What is the actual length of Hector’s room? A) 13 feet B) 14 feet C) 15 feet D) 16 feet <span> 1/4 inch = 1 foot
1 inch = 4 feet
3.5 inches = 3.5 * 4 feet = (b) 14 feet.</span>
enot [183]3 years ago
6 0
The answer is B 14 feet.
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More math help pls. :)
Step2247 [10]

By using trigonometric relations, we will see that x = 9.97°.

<h3>How to find the missing angle?</h3>

First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus).

Where:

  • θ = 26°
  • Adjacent cathetus = k
  • Opposite cathetus  = 55ft.

Replacing that we get:

Tan(26°) = 50ft/k

Solving this for k, we get:

k = 55ft/tan(26°) = 112.8 ft

Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:

  • angle = x
  • opposite cathetus = 55ft
  • adjacent cathetus = 112.8ft + 200ft = 312.8ft.

Then we have:

Tan(x) = (55ft/312.8ft)

Using the inverse tangent function in both sides, we get:

x = Atan(55ft/312.8ft) = 9.97°

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

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2 years ago
The amount $5.40 is 9% of what price?
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Answer:

Step-by-step explanation:

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3 years ago
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A cylinder holds 27.72 litres of water,when full.Find the hieght of the cylinder if the diameter is 42cm​
krek1111 [17]

Answer:

27.72litres=27.72×1000 cm^3

(¡)Height of cylinder=27720×7/(22×21^2)=20cm

Step-by-step explanation:

(¡)First convert litres in to cm^3 take it as the volume of the cylindrical container

(¡¡)Then use V=22/7×r^2×h equation and substitute the values to V and r. Then find the value of h

#V=27.72×1000 (V= volume)

# r = 42/2=21 (r = radius)

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2 years ago
Line $\ell_1$ is horizontal and passes through $(1,1)$. Line $\ell_2$ is vertical and passes through $(2,2)$. Find the point of
borishaifa [10]

Answer:

(2,1)

Step by step explanation:      

Please find the attachment.

We have been given that line l_1 is horizontal and passes through point (1,1). Line l_2 is vertical and passes through point (2,2). We are asked to find point of intersection of line l_1 and line l_2.  

Line l_1 is a horizontal line so y-coordinate will be 1 for any value of x. Line l_2 is a vertical line, so x-coordinate will be 2 for any value of y.

Therefore, intersection point of both lines will include x-coordinate of line l_2 and y-coordinate of line l_1 that is (2,1).

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3 years ago
Which of these statements is true about adaptive evolution?
AveGali [126]

Answer:

Adaptive evolution is always changing because the environment is changing continuously.

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