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Tatiana [17]
3 years ago
5

Solve the equation. Then check your solution.

Mathematics
1 answer:
erica [24]3 years ago
8 0

Answer:

A. 24

Step-by-step explanation:

n Over 54 EndFraction = StartFraction 4 Over 9 EndFraction

n/54 = 4/9

Cross product

n * 9 = 54 * 4

9n = 216

n = 216/9

n = 24

A. 24

Check:

n/54 = 4/9

24 / 54

Divide through by 6

= 4/9

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Find what h equals please help ASAP THANK YOU!<br><br> 4h-1=3h+2
Sunny_sXe [5.5K]
H = 3.

FIRST STEP:
<span>Add 1 to both sides to get rid of the -1 on the left side.
4h-1 = 3h+2
</span><span>4h-1 (+1) = 3h+2 (+1)
</span><span>4h = 3h+3
 
SECOND (FINAL) STEP:
Subtract 3h from both sides to get rid of the 3h on the right side.
</span>4h(-3h) = 3h+3 (-3h)
h = 3
Hope this helps, sorry if it's hard to understand :)
3 0
3 years ago
What is the principal square root of -4
devlian [24]

Answer:

The principal square root of -4 is 2i.

Step-by-step explanation:

\sqrt{-4} = 2i

We have the following steps to get the answer:

Applying radical rule \sqrt{-a} =\sqrt{-1} \sqrt{a}

We get \sqrt{-4} =\sqrt{-1} \sqrt{4}

As per imaginary rule we know that \sqrt{-1}=i

= \sqrt{4} i

Now \sqrt{4} =2

Hence, the answer is 2i.

6 0
3 years ago
What is the length of YZ?
Bogdan [553]

Answer: C

Hello,

Step-by-step explanation:

WZ=7-3=4

YW²=XW*WZ=3*4=12 ==> WY=2√3

In the right triangle YWZ, using the Pythagorean's theorem:

YZ²=WY²+WZ²=12+4²=28

YZ=2√7≅5.29150....

Answer C

3 0
3 years ago
93% of what number is 25?​
marta [7]

Answer: The answer is 327

Explanation: 93×100/25 = 327

6 0
3 years ago
If the area of AABC is D, give the expressions that complete the equation for the measure of ZB?
Ira Lisetskai [31]

Given:

The figure of triangle ABC.

The area of the triangle ABC is D.

m\angle B=\sin ^{-1}(\dfrac{m}{n})

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

Area=\dfrac{1}{2}\times base\times h

Where, b is the base and h is the height of the triangle.

Area=\dfrac{1}{2}\times a\times h

The area of the triangle ABC is D.

D=\dfrac{1}{2}\times a\times h

2D=ah

\dfrac{2D}{a}=h                  ...(i)

In a right angle triangle,

\sin \theta =\dfrac{Perpendicular}{Hypotenuse}

\sin B =\dfrac{h}{c}

\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}              [Using (i)]

\sin B =\dfrac{2D}{ac}

m\angle B =\sin ^{-1}\dfrac{2D}{ac}            ...(ii)

We have,

m\angle B=\sin ^{-1}(\dfrac{m}{n})          ...(iii)

On comparing (ii) and (iii), we get

m=2D

n=ac

Therefore, the required values are m=2D, n=ac.

6 0
3 years ago
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