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3 years ago

A pole is made to lean against a wall. The base of the pole is placed 7 feet

Mathematics

2 answers:

Brums [2.3K]3 years ago

6 0

Answer:

22.14

Step-by-step explanation:

Using the Pythagorean Theorem:

a^2 + b^2 = c^2

21^2 + 7^2 = c^2

441 + 49 = c^2

490 = c^2 (square root both sides so c^2 becomes c)

c = 22.13594363 (round to hundredths)

c = 22.14

weeeeeb [17]3 years ago

4 0

Answer:

the answer is D) √245

Step-by-step explanation:

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Please help with this question!

Nostrana [21]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

a ) Two matrices cannot be multiplied.

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b )

The answer is | 20 - 4 - 12 |

| 8 2 19 - |

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7 0

3 years ago

Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

ANSWER

${r}^{2} = 4 \cos2\theta$

EXPLANATION

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

3 years ago

Given b(x) = [X+41, what is b(-10)? – 10 -6 6 14

OLEGan [10]

Option C: 6 is the value of $b(-10)$

Explanation:

The given expression is $b(x)=|x+4|$

We need to determine the value of $b(-10)$

To find the value of $b(-10)$ , let us substitute $x=-10$ in the given expression.

Thus, substituting $x=-10$ in the expression, we have,

$b(-10)=|-10+4|$

Adding the terms, we get,

$b(-10)=|-6|$

Since, we know the absolute rule that $|-a|=a$ and the simplified expression is of the form $|-a|$ , let us apply the absolute rule in the simplified expression.

Thus, we have,

$b(-10)=6$

Thus, the value of $b(-10)$ is 6.

Hence, Option C is the correct answer.

3 0

3 years ago

Elaina wrote two correct variable expressions to represent the phrase “one-fourth of a number.” Which variable expressions could

ivolga24 [154]

The answer is n over 4

6 0

3 years ago

A textbook store sold a combined total of

omeli [17]

M+p=475
m=p-61
replace m in equation 1 with p-61: p-61+p=475
2p=475+61=536
p=268
m=207

8 0

4 years ago