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Arte-miy333 [17]
3 years ago
9

Thomas leans a 20 foot long ladder against his house to climb on the roof. He placed the base of the ladder 12 feet away from th

e wall. How tall is the lowest point on the roof
Mathematics
2 answers:
just olya [345]3 years ago
8 0

Answer:

16 feet

Step-by-step explanation:

a^2 + 12^2= 20^2

a^2+ 144= 400

a^2= 256

\sqrt{256} = a

a=16

Irina18 [472]3 years ago
6 0

Answer:

The ladder reaches 16 feet up the wall

Step-by-step explanation:

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BETTT

Step-by-step explanation:

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3 years ago
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At the fabric store, Marisela spends $9.00 on 1 1/8 yards of fabric. How much does one yard of fabric cost?
Margaret [11]

Answer:

8 dollars

Step-by-step explanation:

First, convert the yards to decimals, 1/8 is equivalent to .125, therefore 1 1/8 yards is 1.125

Next, since we know that 1 1/8 yards of fabric is $9, we can divide 9 by 1.125 in order to find the cost of one yard of fabric

9/1.125=8, therefore your final answer is $8

Don't forget to put units if this is a test question (or practically in any case), the unit in this case is $(dollars)

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4 years ago
Which expression is equivalent to \frac{10q^5w^7}{2w^3}.\ \frac{4\left(q6\right)^2}{w^{-5}} for all values of q and w where the
mestny [16]

Answer:

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9

Step-by-step explanation:

Given

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

Required

Determine the equivalent expression

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

Simplify the first fraction

\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

Apply law of indices on the first fraction;

5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}

\ \frac{5q^5w^4*4\left(q^6\right)^2}{w^{-5}}

Apply law of indices:

5q^5w^4*4\left(q^6\right)^2 * w^{5}

Evaluate the bracket

5q^5w^4*4 * q^{12} * w^{5}

Collect Like Terms

5*4q^5* q^{12}*w^4  * w^{5}

20q^5* q^{12}*w^4  * w^{5}

20q^{5+12}*w^{4+5}

20q^{17}w^9

Hence:

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9

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Leno4ka [110]

Answer:

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3 years ago
What is the equivalent faction to 2/5
AysviL [449]
There are multiple answers, here are some.

4/10
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and so on and so forth, to find these, just multiply each by two, three, and so on and so forth to find more.

Hope this helps!
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