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QveST [7]
2 years ago
10

The drawing is a scale drawing of a house.

Mathematics
1 answer:
Alborosie2 years ago
3 0

Answer: 20.25ft

1. Find what 8 inches in scale equal for the height of the house.

we will do this step by multiplying.

2in=4.5

8=?

to find...

2x4=8

so

4.5x4=18

2. Find what 1 inch on the scale is equal to for the height of the house.

we will do this by dividing 4.5 by 2

4.5/2=2.25

3. Add both the values for step 1 and 2.

we will do this by just adding them both

18+2.25=20.25

<h2>Why is this our answer?</h2>

This is our answer, because first we found the value of 8 inches on the scale, which means that we are finding almost the full value of the 9 inches of the height of the house, then, we found 1 inch because 9-8=1, so if we already found 8, which is a number in the table of 2, we found out 1 so that we can add it with 8 to find the value of 9in on the scale. In this way, after adding, that gives us the value of 9in on the scale!

My gratitude attitude - THANKS!

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John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite
otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

  • Step 1; <u>John</u><u> drives a stake opposite the tree to establish a line between two points</u>

  • Step 2; <u>John uses a </u><u>compass </u><u>to walk away from the stakes at a right angle</u>

  • Step 3; <u>On the path John walks until he finds a </u><u>line </u><u>of sight to the tree that equals 60 degrees</u>

  • Step 4; <u>John drives a second </u><u>stake </u><u>in the ground</u>

  • Step 5; <u>John measures the the </u><u>distance </u><u>between the two stakes</u>

  • Step 6; <u>John </u><u>multiplies </u><u>the distance between the two stakes by</u><u> 1.7</u><u> to find the distance</u>.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}

<em>The possible question options are;</em>

<em>John measures the the distance between the two stakes</em>

<em>John uses a compass to walk away from the stakes at a right angle</em>

<em>John multiplies the distance between the two stakes by 1.7 to find the distance</em>

<em>John drives a second stake in the ground</em>

<em>On the path John walks until he finds a line of sight to the tree that equals 60 degrees </em>

<em>John drives a stake opposite the tree to establish a line between two points.</em>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

3 0
2 years ago
What does x equal to? “?” = x Solve by using fractions and round to the nearest hundredth if necessary
Anna007 [38]

Answer:

3.5 inches

Step-by-step explanation:

We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.

Since they are similar figures, their corresponding sides are proportional.

The 4 inch side of left figure corresponds to 16 in side of right side figure.

The "?" inch side of left figure corresponds to 14 in side of right side figure.

We can replace "?" with "x" and setup two ratios and equate them:

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Now, we can cross multiply and solve for x:

\frac{4}{16}=\frac{x}{14}\\16x=4*14\\16x=56\\x=\frac{56}{16}\\x=3.5

Hence,

the unknown side marked "?" is equal to 3.5 inches

6 0
2 years ago
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