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klio [65]
2 years ago
8

The volume of the figure

Mathematics
1 answer:
statuscvo [17]2 years ago
3 0
The volume of the pyramid is 15 yd
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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 &lt; -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
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