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3 years ago

13

- square root 675m^3n^11p^5

1 answer:

SVEN [57.7K]3 years ago

5 0

Answer:

Step-by-step explanation:

$-\sqrt{ 675m^3n^{11}p^5}\\=-\sqrt{3*9*25* m^2*m*n^{10}*n*p^4*p}\\=-3*5*m*n^5*p^2\sqrt{mnp} \\=-15mn^5p^2\sqrt{3 m n p}$

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As John walks 16 ft towards a chimney, the angle of elevation from his eye to the top of the chimney changes from 30° to 45°. Id

levacccp [35]

ANSWER

The height is $22ft$

EXPLANATION

Let the height of the chimney be x.

$\tan(45 \degree) = \frac{x}{y}$

$1 = \frac{x}{y}$

$x = y$

$\tan(30 \degree) = \frac{x}{16+ y}$

$\frac{ \sqrt{3} }{3} = \frac{x}{16 + y}$

Cross multiply

$\sqrt{3} (16 + y) = 3x$

$16 \sqrt{3} + y \sqrt{3} = 3x$

Put

$y = x$

into the equation;

$16 \sqrt{3} + x \sqrt{3} = 3x$

Group similar terms:

$16 \sqrt{3}= 3x - x \sqrt{3}$

$16 \sqrt{3}= (3 - \sqrt{3})x$

$\frac{16 \sqrt{3} }{3 - \sqrt{3} } = x$

$x=21.856$

The height of the chimney to the nearest feet is 22

6 0

3 years ago

I need help with this proof.<br>

mylen [45]

Answer:

My proof is in the explanation.

Step-by-step explanation:

This is a two-column proof.

One column for statements and the other for the reason for that statement.

Hopefully it shows up well on your screen. Let me know if it doesn't.

Statement | Reason

1) CD is the perpendicular 1) Given

bisector of AB

2) AD=DB 2) Definition of bisector

3) CD=CD 3) Reflexive property

4) mAngleCDA=90 4) Definition of perpendicular

5) mAngleCDB=90 5) Definition of perpendicular

6) mAngleCDA=mAngleCDB 6) Substitution property

7) Corresponding parts of each 7) SAS

triangle are congruent (side-angle-side)

8) AC=CB 8) The two triangles are ............................................................................congruent so

the corresponding parts ............................................................................are

congruent.

4 0

3 years ago

B) 144 kg in the ratio 1:3:5

liberstina [14]

Answer:

9.6666

Step-by-step explanation:

$144 \times 1 \div 3 \div 5$

5 0

3 years ago

Read 2 more answers

Represent the picture as a fraction. I NEED HELP

AveGali [126]

Answer:

Assuming we're focusing on the shaded squares, 7/15

Step-by-step explanation:

There are 15 squares, and 7 are shaded

7/15

7 0

4 years ago

What is the value of this expression when c= -4 and d = 10?

Alisiya [41]

Answer:

$c + d^2 = 96$

Step-by-step explanation:

Given

$c = -4\\d = 10$

Required

Find $c + d^2$

To find $c + d^2$ , we simply substitute 10 for d and -4 for c in the given expression.

The step is as follows:

$c + d^2$

Substitute $c = -4\\d = 10$

$c + d^2 = -4 + 10^2$

$c + d^2 = -4 + 10*10$

$c + d^2 = -4 + 100$

$c + d^2 = 96$

The expression cannot be solved any further; so, we can conclude that when d = 10 and c = -4, $c + d^2 = 96$

6 0

3 years ago