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2 years ago

Find the missing measurement. Round your answer to the nearest tenth. *

Mathematics

1 answer:

wariber [46]2 years ago

5 0

Answer:

For the first image, the answer should be C) 11 ft.

For the second image, the answer should be C) 6 mi.

For the third image, the answer should be C) 6.9 m^2

Step-by-step explanation:

First image explaination: To get the area of a rectangle you would multiply length times width. 7 times 11 is the area given: 77- so the answer should be 11 ft.

Second image explaination: Divide 11.4 by 1.9.

Third image explaination: Divide 41.4 by 6.

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The map ratio of a a map is 1 : 2 000 000. Find the distance on the map which represent an actual distance of 36Km.

yaroslaw [1]

Answer:

72,000,000

Step-by-step explanation:

36x2,000,000= 72,000,000

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3 years ago

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Find the value of x, y, and z in the rhombus below.

34kurt

Answer:

Step-by-step explanation:

For a rhombus, the opposite angles are equal:

74=5y+9

5y=65

y=13

For a rhombus, the adjacent angles are supplementary:

74+(z-10)=180

z-10=106

z=116

74+(x+7)=180

x+7=106

x=99

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2 years ago

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Solve 10+(-15)-5=-5 true, false, open

marysya [2.9K]

False because the answer would be -10

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3 years ago

Four times the square of a non-zero number is equal to twelve times the number.

Whitepunk [10]

4x^2 = 12x
4x^2 - 12x = 0
4x(x - 3) = 0

4x = 0
x = 0...not this one

x - 3 = 0
x = 3 <== ur number

4 0

3 years ago

A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol

k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

$W = 3 + L$ ......equation 1

$H = 4 + L$ ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

$Volume = length * width * height$ .....equation 3.

Substituting the values into equation, we have;

$224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}$

Rearranging the polynomial, we have;

$L^{3} + 7L^{2} + 12L - 224 = 0$

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

$(x - 3) = 0\\x = 3$

$P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9) + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0$

We would try with 4;

$P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16) + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224 - 224 = 0$

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0

3 years ago