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2 years ago

Which equation is true for x = 6? A) 2x + 5 = 25 B) 3x + 5 = 17 C) 5x − 18 = 7 D) 6x − 10 = 26

Mathematics

1 answer:

Anit [1.1K]2 years ago

4 0

D is the answer.
6×6-10=26

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Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeters. If the scale of the map i

Lapatulllka [165]

The real distance fro the shop to the store is 24 km

<em><u>Solution:</u></em>

Given that, Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeter

Scale of the map is 1 centimeter to 8 kilometers

Therefore, scale is:

$1\ centimeter : 8\ kilometer$

Let "x" be the real distance from the shop to the store

Then by proportion, we get,

$\frac{1\ centimeter}{8\ kilometer} = \frac{3\ centimeter}{x\ kilometer}\\\\\frac{1}{8} = \frac{3}{x}\\\\x = 3 \times 8\\\\x = 24$

Thus real distance fro the shop to the store is 24 km

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2 years ago

What is the surface area of this composite solid?______________ square feet 242 319 363 517

jeka57 [31]

Answer:

<h2>The right answer is 415.4 cubic feet.</h2>

Step-by-step explanation:

As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.

We need to find the volum of each part separately.

<h3> Square prism.</h3>

$V_{prims}=11 \times 11 \times 2=242 \ ft^{3}$

<h3>Square pyramid.</h3>

First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.

Let's use Pythagorean's Theorem to find the height of the pyramid.

$7^{2}=h^{2} +(5.5)^{2}\\ 49-30.25=h^{2}\\ h=\sqrt{18.75} \approx 4.3$

The height is 4.3 feet, approximately.

Now, we find the volume of the pyramid

$V_{pyramid}=\frac{1}{3}(11 \times 11 \times 4.3) \approx 173.4ft^{3}$

The sum of both figures represents the total volume of the composite figure

$V_{total}=242+173.4=415.4ft^{3}$

Therefore, the right answer is 415.4 cubic feet.

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2 years ago

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Step-by-step explanation:

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1 year ago

Brainliest if corerct

AysviL [449]

Step-by-step explanation:

$2x + 2 = 3x - 52$

$2 + 52 = 3x - 2x$

$54 = x$

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2 years ago

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Natasha_Volkova [10]

Answer:

$1709.92cm^3$

Step-by-step explanation:

$V=\pi r^2h=\pi *3^2*7=197.92cm^2$ (cylinder)

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$197.92+1512=1709.92cm^3$ (whole shape)

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2 years ago