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CaHeK987 [17]
3 years ago
12

Find the complete factorization of the expression. 15xz + 21yz

Mathematics
2 answers:
ss7ja [257]3 years ago
8 0
The answer would be 3z(5x + 7y)
Ivan3 years ago
7 0

Answer:

A) 3z(5x+7y)

Step-by-step explanation: This is the answer because if you distribute it right you get the answer.

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A volleyball of radius 13 inches fits exactly in a cylinder with the same radius. inside the container there is empty space not
asambeis [7]

Volume of Sphere is V=(4/3)*PI*r^3

The radius of the volleyball is 13 inches

<span>So V=(4/3) * 3.14 * 13^3 =  9198 cubic inches</span>

 

Volume of a cylinder is V=pi * r^2 *h

Since they say the ball fits perfectly

The radius is 13 and the height is 26 ( the diameter of the ball)

So V=3.14 * 13^2 * 26 = 13,797 cubic inches

 

13797 – 9198 = 4,599 cubic inches of empty space


4 0
3 years ago
Read 2 more answers
Jack has twice as many dimes as quarters. If the total value of the coins is $6.30, how many dimes does he have?
ycow [4]

Answer:

Number of dimes = 28

Step-by-step explanation:

Given that:

Worth of coins = $6.30 = 6.30 * 100 = 630 cents

Let,

x be the number of dimes

y be the number of quarters

According to given statement;

x = 2y    Eqn 1

10x+25y = 630    Eqn 2

Putting x = 2y in Eqn 2

10(2y) + 25y = 630

20y + 25y = 630

45y = 630

Dividing both sides by 45

\frac{45y}{45}=\frac{630}{45}\\y=14

Putting y=14 in Eqn 1

x = 2(14)

x = 28

Hence,

Number of dimes = 28

4 0
3 years ago
Haley has a collection of necklaces. Last month, she had 40 necklaces. She now has 76 necklaces.
Maurinko [17]

Answer:

74%

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
I need help!!! Can you figure this out?
Aneli [31]

Answer:

128 degrees

Step-by-step explanation:

38+90=128

5 0
3 years ago
A rhombus is cut along the diagonals to make four triangles. Which three statements are correct for any rhombus? 1) All four tri
Nikolay [14]

Answer:

1). All four triangles are right-angled.

3.) All four triangles are congruent.

4) Area of a rhombus = 4 x area of one triangle.

Step-by-step explanation:

If a rhombus is cut into four triangles using diagonals, the three statements that would apply to any rhombus would be that 'all those four triangles would be right-angled,' 'the triangles would be congruent to one another,' and 'area of one triangle * 4 would be equal to the area of the rhombus.'

As we know, the diagonals bisect one another in a rhombus at 90° and the angles opposite to one another are equal. This <u>proves that all four triangles constructed through the diagonals would be ≅ through SSS congruency and perpendicular to one another because the corresponding edges of the congruent triangles are also ≅</u> . Since the rhombus is divided into four equal parts, the area of one triangle into four would be equals to the area of the rhombus. Thus, <u>options 1, 3, and 4</u> are the correct answers.

8 0
3 years ago
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