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DiKsa [7]
3 years ago
10

The triangles in each pair are similar. Find the unknown side lengths.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0
P= 10km
r=12km

Those are the answers since side PR is twice the length of side KM, therefore r is twice the length of 6 km, and p is twice the length of 5km.
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5. GEOMETRY The volume of a rectangular pyramid is one third the product of the area of its base and its height. Find
tatuchka [14]

Answer:

x³ + 7x² + 15x + 9

Step-by-step explanation:

Given that the volume (V) of a rectangular pyramid is

V = \frac{1}{3} A h ( A is the area of base and h the height ), then

V = \frac{1}{3} (3x² + 12x + 9)(x + 3) ← factor out 3 from A

   = \frac{1}{3} × 3(x² + 4x + 3)(x + 3)

   = (x² + 4x + 3)(x + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x² (x + 3) + 4x(x + 3) + 3(x + 3) ← distribute parenthesis

= x³ + 3x² + 4x² + 12x + 3x + 9 ← collect like terms

= x³ + 7x² + 15x + 9

Thus the expression for the volume is

V = x³ + 7x² + 15x + 9

4 0
3 years ago
Which expression is equivalent to 4 square root 6 divided by 3 root 2?
saw5 [17]

Answer:

\sqrt[12]{55296}/2

Step-by-step explanation:

\sqrt[4]{6}/\sqrt[3]{2}=1.2422

\sqrt[12]{27}/2=0.66 <-- not matching with the top expression.

\sqrt[4]{24}/2=1.11<--not matching with the top expression.

\sqrt[12]{55296}/2=1.2422<-- matches!!

\sqrt[12]{177147}/3=0.91<-- not matching with the top expression.

5 0
3 years ago
What is the equivalent expression for the expression of the squart root x+3
Anastaziya [24]

Answer:

\sqrt{x + 3}  \\  =  {(x + 3)}^{ \frac{1}{2} }

6 0
3 years ago
1/2x=14<br> Help please I’ve been stuck on this how do I check it?
n200080 [17]
Divided both sides by 1/2
1/2x/(1/2)=14/(1/2)
x=14/(1/2)=14/0.5=28
The answer will be x=28
7 0
3 years ago
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san4es73 [151]

Answer:

1. A

2. A

Step-by-step explanation:

7 / 27 1/2 = 14/55

Trail Mix A = $8 / lb

Trail Mix B = $8.50 / lb

Trail Mix C = $9 / lb

6 0
3 years ago
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