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3 years ago

How do I solve for r

Mathematics

2 answers:

White raven [17]3 years ago

3 0

To solve for R you use PEMDAS

Ksju [112]3 years ago

3 0

4 (r-10)^2+2=38
expand 4 [(r-10)(r-10)]+2=38
solve r-10×r-10
4 (r^2-20r+100)+2=38
-2 both sides
4 (r^2-20r+100)=36
÷4 both sides
r^2-20r+100=9
-9 both sides
r^2-20r+91=0
(r-7)(r-13)=0
r=7,13

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Can someone help me plz

viva [34]

The side length of the square base is 18 inches and the height of the pyramid is 9 inches.

Step-by-step explanation:

Step 1:

The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and $\frac{1}{3}$ .

The volume of a square pyramid, $V = a^{2} \frac{h}{3}.$

Step 2:

From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.

The height of the pyramid is from the base to the top, h = $\frac{x}{2}$ inches .

The volume of a square pyramid, $V = 972.$

Substituting the known values, we get

$972 = (x)^{2} (\frac{x}{2}) (\frac{1}{3} ) = \frac{x^{3} }{6} .$

$x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.$

So x is 18 inches long.

The side length $= x = 18$ inches.

The height of the pyramid $= \frac{x}{2} = \frac{18}{2} = 9$ inches.

4 0

3 years ago

Mary ravi and Alan have a total of $62 in their wallets. Mary has $6 more than Ravi. Alan has 2 times what Mary has. How much do

mixas84 [53]

Answer:

Marry = $17

Ravi = $11

Alan = $34

Step-by-step explanation:

Let us assume

Mary be X

Ravi be Y

Alan be Z

So, the equation in total is

X + Y + Z = 62

It is given that

X = Y + 6

Z = 2X

Now we put the Z value in the total equation, so it would be

X + Y + 2X = 62

3X + Y = 62 .................................... (1)

And can we write

X = Y + 6

X - Y = 6 ................................. (2)

Now substitution these two equations,

3X + Y = 62

X - Y = 6

2X = 68

X = $17

So, Z = 2 × 17 = $34

And, Y

$17 + Y + $34 = $62

So, Y = $11

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2 years ago

Which equation does not have the same solution as the others?

dem82 [27]

<span>The answer is B. X-9=17
Hope this helped! :)</span>

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3 years ago

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expeople1 [14]

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3 years ago

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vazorg [7]

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