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Sav [38]
3 years ago
11

A rectangular prism and a square pyramid were joined to form a composite figure.

Mathematics
1 answer:
azamat3 years ago
8 0

Answer:

B. 333 in.2

Step-by-step explanation:

The area of the base is 81^2

lateral is 45 x 4 = 180^2  (9x5x4)

180^2 add the 72 pyramid = 252^2 + base of 81^2 = 333^2

Composite figueres i do like this as shown to you a few seconds ago.

The triangle shows us just the height

4 inches

We can see that height is smaller central isosceles height across the center base point.

We also can remember to use the length 9inches but divide by 2 and get each triangle area this way.

4 x 1/2 base = 4x 1/2 4.5 = 4 x 2.25 = 9^2 each right side triangle

9 x 8 = 72^2

we add the areas 72+ 81+lateral 180 = 333 inches^2

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(Question Is In The Picture, Kinda Bad)
11111nata11111 [884]

Answer:

72 cupcakes

Step-by-step explanation:

Morgan can make 4 cupcakes with one cup of flour. She has 18 cups of flour and suppose she can make x cupcakes, then

1 cup of flour - 4 cupcakes

18 cups of flour - x cupcakes

Write a proportion:

\dfrac{1}{18}=\dfrac{4}{x}

Cross multiply:

1\cdot x=18\cdot 4\\ \\x=72\ cupcakes

5 0
3 years ago
Simplify: −3xy2(2x2y3 + 7xy2 − 5x3y2)
mestny [16]

collect the like terms

Answer is C

5 0
2 years ago
Find the value of p for which x = -2, y = -1 is a solution of linear equation 5x + 2py = 2p.​
Rom4ik [11]
I think p=4
How I solved it:
5(-2)+2p+2(-1)=2p
-10+2p+-2=2p So cross out last
-2p -2p 2p:)
= -10+2p+-2
+10 +10 Cross out the 10
= 2p=8
= divide both sides by 2p
= 2p/2= 8/2
= cross out the 2.
= which leaves
= p=4 we get 4 because we divide 8 to 2:)


I don’t know if I’m right but yea...



8 0
3 years ago
What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b
kramer

Option C: a=3, b=4 is the value of a and b

Explanation:

Given that the expression \sqrt{648}=\sqrt{2^a\times3^b}

We need to determine the value of a and b

Let us consider the term \sqrt{648} and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

648=2 \cdot 324

324 divides by 2,

648=2 \cdot 2 \cdot 162

162 divides by 2,

648=2 \cdot 2 \cdot 2 \cdot 81

81 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27

27 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9

9 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3

Thus, we have,

\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}

Therefore, equating the powers of 2 and 3, we get,

a=3, b=4

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0
3 years ago
Read 2 more answers
What is 23,356.4739 rounded to the nearest whole number ​
nikitadnepr [17]

23,356 the answer rounded to nearest whole number

3 0
3 years ago
Read 2 more answers
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