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QveST [7]
2 years ago
5

Find the value of x. Round to the nearest degree as needed.

Mathematics
1 answer:
Bas_tet [7]2 years ago
4 0

9514 1404 393

Answer:

  x° = 29°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relationships. Here, you have the hypotenuse and the side opposite the unknown angle. So, the appropriate relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 12/25

  x° = arcsin(12/25) ≈ 28.69°

The value of x is about 29.

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Ron has a bag containing 3 green pears and 4 red pears he randomly selects a lead then randomly selects another pear without rep
Alborosie
First pear            Second pear      probability

green (3/7)---------green (2/6)         (3/7)*(2/6) = 1/7
                  ---------red (4/6)             (3/7) *(4/6) = 2/7

red (4/7)-------------green (3/6)        (4/7)*(3/6) = 2/7
             -------------red (3/6)             (4/7)*(3/6) = 2/7
                                                     -------------------------
                                                     1/7 + 2/7 + 2/7 + 2/7 = 1

The probailities that two are green are: 1/7

The probabilities that one is green and the other is red are:2 /7 + 2/7 = 4/7

The probabilities that two are red are: 2/7
7 0
3 years ago
Please help!!!!!!!!!!!!!!!!!!!!!!!!!! answer both
weeeeeb [17]

<u>Solution </u><u>1</u><u> </u><u>:</u><u>-</u>

Given expression ,

\implies 13^{\frac{3}{4}}

We know that, a^{\frac{m}{n}} = \sqrt[n]{a^m}

Therefore , this can be written as ,

\implies \sqrt[4]{13^3}

<u>Solution</u><u> </u><u>2</u><u>:</u><u>-</u>

Given expression ,

\implies \sqrt[3]{24^{10}}

We know that,a^{\frac{m}{n}} = \sqrt[n]{a^m}

Therefore, this can be written as ,

\implies 24^{\frac{10}{3}}

5 0
2 years ago
Read 2 more answers
You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more t
lys-0071 [83]

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

Perimeter = 2 \times (Length + Width)

Putting the values of perimeter and length to find the value of width.

48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}

So, width possible is <em>6ft.</em>

3 0
3 years ago
The ratio to cranberry juice and mango juice is 3:2 they used 4 quarts of cranberry juice last week. This week mindy and her fri
IrinaVladis [17]

Answer:

The amount of mango juice needed is 8 quarts

Step-by-step explanation:

To calculate the amount of mango juice needed, we will need to know the amount used the previous week.

Cranberry juice to Mango juice is 3:2 with cranberry used being 4 quarts. Let the quarts of Mango juice used be x

This means;

3/2 = 4/x

1.5 = 4/x

1.5x = 4

x = 4/1.5 quarts

Since they are making 3 times as much punch, the amount of mango juice needed will be 4/1.5 * 3 = 4 * 2 = 8 quarts

8 0
3 years ago
6(n-3) <br> Use distributive property to write each expression
Vlad [161]
The answer is (6•n) - (6•3)= 6n-9
8 0
3 years ago
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