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IRINA_888 [86]
3 years ago
10

Hord

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer:

The volume of the space outside the pyramid but inside the prism is 225 cubic centimeters.

Step-by-step explanation:

To find this, you subtract the volume of the pyramid from the volume of the rectangular prism.

The prism and pyramid's bases is 25 cm²

The pyramid's height is 12÷2 or 6 cm

The volume formula for a prism is l×w×h

The volume formula for a pyramid is \frac{1}{3} ×b×h

The area of the prism is 5×5×12 or 300 cm³

The area of the pyramid is \frac{1}{3} *25*6 or 75 cm³

300 cm³-75 cm³=225 cm³

The volume outside the pyramid but inside the prism is 225 cm³.

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three sets of the sum of a number and four are added to the sum of seven times the same number and thirteen
almond37 [142]

The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

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

Given the statement:

Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen

Let us first understand the given statement,

Let the number be "x"

" sum of a number and four" means x + 4

"Three sets of a sum of a number and four" translated to 3(x + 4)

"sum of seven times the same number and thirteen" means 7x + 13

<em><u>Thus the algebraic expression for given statement is:</u></em>

3(x+4)+(7x + 13)

<em><u>Using distributive property in above expression</u></em>

a(b+c) = ab + bc

Therefore,

3(x+4)+(7x + 13) = 3x + 12 + 7x + 13

<em><u>Combine the like terms</u></em>

3(x+4)+(7x + 13) = 10x+25

Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

7 0
3 years ago
The Polygons below are similar. Find the value of z. <br><br> A. 4.5<br> B. 7.5<br> C. 12<br> D. 16
Misha Larkins [42]
The correct answer is B. 7.5
Similar polygons are polygons wherein its corresponding sides are proportional. All corresponding sides of the larger polygon are proportional to the corresponding sides to the smaller polygon, wherein segment HG is proportional to segment DC, and segment FG is proportional to segment BC. (See attachment for reference) A <span>proportion  is an equation that states two ratios are equivalent. By cross multiplying the two ratios, you get an equation for finding the value of z, which is 7.5</span>

8 0
4 years ago
What is 2(6+7)= 3(5+2)
Komok [63]

Solution:

2(6+7)= 3(5+2)

Step ; 1 { Solving first Term i.e LHS }

LHS : 2 ( 6 + 7)

☞ 2 ( 13)

☞ 2 × 13

☞ 26

Now, RHS ; 3 ( 5 + 2)

☞ 3 ( 7)

☞ 21

From Equation 1 and 2, We can LHS and RHS are not Equal.

Therefore, 26≠ 21.

7 0
4 years ago
Arc length for xy I’ve been stuck on this for a while
Contact [7]

Answer:

12.22

Step-by-step explanation:

There are 360° in a full circle

The circumference of a circle is c = 2πr

----------------------------------

The lenght of the arc will be the portion of the circumferece included in the angle

l = (∅/360) * 2πr

plug in the knowns

l = (70/360) * 2π(10)

l ≈ 12.22

7 0
3 years ago
A parking lot has seventy-six parking spaces numbered from 1 to 76. There are no cars in the parking lot when Jillian pulls in a
Elodia [21]

Answer:

40/76 or 10/19 or 52.63% (they are all equivalent)

Step-by-step explanation:

there are 76 parking spaces in total

30 parking spaces have numbers that are less than 31 (1 - 30)

that means that there are 76 - 30 = 46 spaces that are numbered 31 or higher

so the probability that Jillian parks on a parking space with a number ≥ 31 is 40/76 or 10/19 or 52.63%

8 0
3 years ago
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