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Art [367]
3 years ago
8

USING SIMILAR TRIANGLES IN INDIRECT MEASUREMENT If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tal

l is 4 m long, how tall is the tree? Which of the following proportions could not be used to solve the problem? 14/1.8 = x/4 x/1.8 = 14/4 x/14 = 1.8/4
Mathematics
1 answer:
maw [93]3 years ago
4 0

Answer:

14/1.8 = x/4

Step-by-step explanation:

Using similar triangles,

height of man/length of man's shadow = height of tree/length of tree's shadow

1.8/4 = x/14

x/14 = 1.8/4

If we cross-multiply, we have

1.8 × 14 = x × 4

dividing both sides by 4 and 1.8,we have

14/4 = x/1.8

x/1.8 = 14/4

So, the two expressions we have are

x/14 = 1.8/4 and x/1.8 = 14/4.

So, the answer is 14/1.8 = x/4 since the product 1.8 × 14 = x × 4 cannot be expressed in the given ratio.

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The length of a rectangle is twice its width. The perimeter of the rectangle is 126ft.
umka21 [38]
Alright, so let's make the length x and the width y. 2y=x, and xy=area. 2x+2y=perimeter. Plugging 2y=x into the perimeter equation, we get that 3x=perimeter=126, and x=126/3=42

Length=42ft, width=21ft
8 0
3 years ago
Evaluate the following expression using the values given:
MrMuchimi
Replace each letter with it's value, so:
= (5*-2) + (-3*2) + 3
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6 0
3 years ago
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Write 10/25 (Fraction) in lowest terms
I am Lyosha [343]

Answer:

2/5

Step-by-step explanation:

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3 years ago
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In a teacher's math course, a linear regression line was calculated to predict
Marat540 [252]

The given equation is the best line that approximates the linear

relationship between the midterm score and the score in the final exam.

  • AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. <u>E. None of these</u>.

Reasons:

The given linear regression line equation is; \hat y = 25.5 + 0.82·\mathbf{\hat x}

Where;

\hat y = Final exam score;

\hat x = The midterm score;

AJ score in the first test, \hat x = 90

AJ's actual score in the exam = 99

Required:

The value of AJ's residual

Solution:

By using the regression line equation, we have;

The predicted exam score, \hat y = 25.5 + 0.82 × 90 = 99.3

  • The residual score = Predicted score - Actual score

∴ AJ's residual = 99.3 - 99 = 0.3

AJ's residual = 0.3

Therefore, the correct option is option E;

  • <u>E. None of these</u>

Learn more about regression line equation here:

brainly.com/question/9339658

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2 years ago
What is the reciprocal of -0.06
vekshin1

Answer:

-16.666

Step-by-step explanation:

You can find the reciprocal by turning the intended fraction upside down.

\frac{-0.06}{1} ⤭ \frac{1}{-0.06} = \frac{100}{-6} = \frac{50}{-3} = <em>-16.6666666667</em>

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2 years ago
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