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pychu [463]
3 years ago
8

One building is 15 feet tall and another is 90 feet tall. Proportionally, the height of the smaller building is A) 1/6 the hight

if the larger building b) 1/9 the height of the larger building c) 3/4 the height of taller building d) 6 times the height of the larger building
Mathematics
2 answers:
egoroff_w [7]3 years ago
8 0

The answer will take the form: height smaller building = ? · height larger building, with ? = k. Already, you should be able to see that k must be less than 1. 15 feet = k (·) 90 feet; k =  15 /90  =  1/ 6   the height of the larger building.

GalinKa [24]3 years ago
5 0

Answer:

Option A is the correct choice.

Step-by-step explanation:  

We have been given that one building is 15 feet tall and another is 90 feet tall. We are asked to find the height of smaller building proportionally.

Since heights of both buildings are proportional so we will use proportions to find the height of smaller building in terms of height of larger building.  

\frac{\text{Height of smaller building}}{\text{Height of larger building}}=\frac{15}{90}

\text{Height of smaller building}=\frac{1}{6}\times {\text{Height of larger building}

We can see that height of smaller building is 1/6 of the height of larger building, therefore, option A is the correct choice.

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What is the surface area of the prism in square feet?
Evgesh-ka [11]

Answer:

The surface area of the rectangular prism is 52 square feet (ft²), if the height is 4 feet, width is 3 feet and depth is 2 feet.

Step-by-step explanation:

          The given is,

                    A  prism of

                     Let, h - height of the prism

                            w - Width of the prism

                            d - Depth of the prism

Step:1

        From given,

                     h = 4 feet

                     w = 3 feet

                     d = 2 feet

Step:2

        Formula to calculate the surface area of the rectangular prism is,

         A=2(wd+hd+hw)             

       Substitute the values of w,d and h

                           = 2 [(3×2) + (4×2) + (4×3)]

                           = 2 (6+8+12)

                           = 2 × 26

                           = 52

                       A = 52 Square feet

Result:

        Thus the surface area of the rectangular prism is 52 square feet (ft²), if the height is 4 feet, width is 3 feet and depth is 2 feet.

6 0
3 years ago
From the diagram below, given the side lengths marked, and if we know that < C is congruent to < E, we can say that ___.
Lana71 [14]

Since we know that <C is congruent to <E, we can say that: A. the two triangles are similar by SAS.

<h3>The properties of similar triangles.</h3>

In Geometry, two triangles are similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.

Ratio = BC/AC = 6/3 = 2.

Ratio = FE/DE = 4/2 = 2.

Thus, the ratio of their corresponding sides are equal in magnitude i.e BC/AC ≡ FE/DE.

Since we know that <C is congruent to <E, we can say that the two triangles are similar by side, angle, side (SAS) criterion.

Read more on congruency here: brainly.com/question/11844452

#SPJ1

5 0
2 years ago
Which of the following is another way to express the equation 8 - (-d) = 43?
Mazyrski [523]

Answer:

8 + d = 43

Step-by-step explanation:

8 - ( - d) = 48

=  > 8 +  (- 1) \times ( - d) = 43

=  > 8 + d = 43

6 0
3 years ago
Read 2 more answers
Which represents the inverse of the function f(x) = 4x?
vazorg [7]

Option D: h(x)=\frac{1}{4}x is the inverse of the function f(x) = 4x

Explanation:

Given that the function is f(x)=4x

We need to determine the inverse of the function.

<u>Inverse of the function h(x):</u>

The inverse of the function can be determined by interchanging the variables x and y and then solving the function for y.

Thus, the function is written as,

y=4x

Interchanging the variables x and y, we have;

x=4y

Dividing both sides by 4, we get;

\frac{1}{4}x=y

Thus, the inverse of the function is h(x)=\frac{1}{4}x

Hence, Option D is the correct answer.

4 0
4 years ago
What is the solution to x 4 – 12x 2 + 10 &gt; 0?
Gelneren [198K]

Answer:

X>5/4

Step-by-step explanation:

What is the solution to x 4 – 12x 2 + 10 > 0?

8 0
3 years ago
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