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r-ruslan [8.4K]
2 years ago
10

PLZ HELP!! WILL MARK BRANLYIST!!! 30 POINTS!!

Mathematics
1 answer:
V125BC [204]2 years ago
8 0

Answer:

The distance between the light and the actor's face is 29.24 ft

Step-by-step explanation:

In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use <u>cos</u>.

Cos=\frac{adjacent}{hypotenuse}

Let's plug in our numbers and variable.

(Cos)70=\frac{10}{x}

Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable.

x=\frac{10}{(cos)70}

Divide 10 by (cos)70.

<em>x = 29.24</em>

So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.

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The average of six numbers is 4. If the of two of those numbers is 2, what is the average of the other four numbers?
matrenka [14]

Answer:

5

Step-by-step explanation:

total sum of the 6 numbers

= 4 ×6

= 24

sum of numbers without the two 2s

= 24 - 2(2)

= 20

average of other 4 numbers

= 20 ÷ 4

= 5

6 0
3 years ago
Help meee pleasee!!
Verizon [17]

Answer:

because some applicants volunteer and meet the GPA requirements the events are NOT MUTUALLY exclusive. Thus, the probability is 65%

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Step by step explanation please
galina1969 [7]

Two equal triangles

2(1/2×b×h)

=2(1/2×8×10)

= 80 {cm}^{2}

Three rectangles

=3(l×h)

=3(18×8)

=3(144)

432 {cm}^{2}

Total Surface area

80 {cm}^{2}   +  432 {cm}^{2} \\ 512 {cm}^{2}

8 0
3 years ago
Please help me!!
ipn [44]

{\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

Let ,

1st∠ = (x + 18)°

2nd∠ = x°

3rd∠ = 4x°

so ,

⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:108°\:=\:180°

⟶\:6x°\:=\:180°\:-\:108°

⟶\:6x\:=\:72°

⟶\:x\:=\:\frac{72}{6} \\

⟶\:x\:=\:12°

substituting x = 12 at the place of x .

= x° + 18°

= 12° + 18 °

1st∠ = 30°

__________________________________

= x°

2nd∠ = 12°

__________________________________

= 4x°

= 4(12)°

3rd∠ = 48°

7 0
2 years ago
HELPP DESPERATELY
luda_lava [24]

Answer:

Point Q = (3.6, 1.4)

Step-by-step explanation:

The 4:1 ratio should first be changed to 4/5.

y2-y1= 2+1 = 3 which as a fraction is 3/1, now multiply that which the earlier fraction 4/5 to get 12/5 = 2.4

x2-x1= 4-2= 2 which as a fraction is 2/1, do the same as earlier, multiply by 4/5 to get 8/5 = 1.6

now add these to A to get point Q

2+1.6= 3.6

-1+2.4=1.4

Point Q = (3.6, 1.4)

4 0
2 years ago
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