The volume of the figure

HELP PLEASE <br> solve the right triangle

aleksandrvk [35]

Answer:

Part 1) $FG=4.4\ units$

Part 2) $EF=3.9\ units$

Part 3) $m\angle G=63^o$

Step-by-step explanation:

step 1

Find the measure of length side FG

In the right triangle EFG

we know that

$sin(27^o)=\frac{GE}{FG}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(27^o)=\frac{2}{FG}$

$FG=\frac{2}{sin(27^o)}=4.4\ units$

step 2

Find the measure of length side EF

In the right triangle EFG

we know that

$cos(27^o)=\frac{EF}{FG}$ ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

$cos(27^o)=\frac{EF}{4.4}$

$EF=cos(27^o)(4.4)=3.9\ units$

step 3

Find the measure of angle G

we know that

$m\angle G+27^o=90^o$ ---> by complementary angles in a right triangle

$m\angle G=90^o-27^o=63^o$

7 0

3 years ago

The image of (-9,-4) after a reflection over the y-axis?

lidiya [134]

Answer:

The answer is (-4,9)

Step-by-step explanation:

When you reflect across y=-x the x and y coordinates switch places and change signs.

7 0

2 years ago

A group of friends are playing a trivia game. players spin a spinner 2 times to find the 2 categories of trivia questions they w

Delicious77 [7]

The probability that a player will be asked a math question and then a music question is 0.03125

<h3>How to determine the probability?</h3>

The size of the sections are given as:

Music = 0.5

Sport = 0.5

Others = 1

So, the total size is:

Total = 0.5 + 0.5 + 1 + 1 + 1

Evaluate

Total = 4

The probability of asking a math question is:

P(Math) = 1/4 = 0.25

The probability of asking a music question is:

P(Music) = 0.5/4 = 0.125

The required probability is:

P(Math and Music) = P(Math) * P(Music)

This gives

P(Math and Music) = 0.25 * 0.125

Evaluate

P(Math and Music) = 0.03125

Hence, the probability that a player will be asked a math question and then a music question is 0.03125

Read more about probability at:

brainly.com/question/25870256

#SPJ1

5 0

1 year ago

Which of the following are some of the possible soulitions for the inequality -9w < -54

Alekssandra [29.7K]

the answer

w < 6

Step by Step

-9w < -54

w < -54/-9

w< 6

4 0

3 years ago

Talia uses 10 strawberries and 4 oranges to make 8 servings of fruit salad. How many oranges and strawberries does Taila needs t

yarga [219]

Since 12 is 8 x 1 1/2 she needs 1 1/2 time as much fruit.

1 1/2 x 10 = 15 strawberries and 1 1/2 x 4 = 6 oranges.

You could also solve this using proportions:

$\frac{10}{8} = \frac{n}{12}$

Cross multiply and get 8n= 120 divide by 8 and get 15 strawberries

Do the same for the oranges:

$\frac{4}{8} = \frac{n}{12}$

You can see that 4/8 = 1/2 so n/12 has to be 6 to be 1/2 (or solve it using cross products like I did above).

4 0

3 years ago