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SIZIF [17.4K]
3 years ago
10

Complete the missing value in the solution to the equation.^

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

10

Step-by-step explanation:

subtract 5y from both sides of the equation

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The Colonel spots a campfire at a bearing N 59∘59∘ E from his current position. Sarge, who is positioned 242 feet due east of th
Rashid [163]

Answer:

i. Colonel is about 201 feet away from the fire.

ii. Sarge is about 125 feet away from the fire.

Step-by-step explanation:

Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.

The total angle at the campfire from both the Colonel and Sarge = 59^{0} + 34^{0}

                                           = 93^{0}

Thus,

<CAB = 90^{0} - 59^{0} = 31^{0}

<CBA = 90^{0} - 34^{0} = 56^{0}

Sine rule states;

\frac{a}{Sin A} = \frac{b}{Sin B} = \frac{c}{Sin C}

i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;

\frac{b}{Sin B} = \frac{c}{Sin C}

\frac{b}{Sin 56^{0} } = \frac{242}{Sin 93^{0} }

\frac{b}{0.8290} = \frac{242}{0.9986}

cross multiply,

b = \frac{0.8290*242}{0.9986}

  = 200.8993

Colonel is about 201 feet away from the fire.

ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;

\frac{a}{Sin A} = \frac{c}{Sin C}

\frac{a}{Sin 31^{0} } = \frac{242}{Sin 93^{0} }

\frac{a}{0.5150} = \frac{242}{0.9986}

cross multiply,

a = \frac{0.5150*242}{0.9986}

  = 124.8073

Sarge is about 125 feet away from the fire.

8 0
3 years ago
What is -19 -12 evaluated?
Brrunno [24]

-19 -12

-(19+12)

- 31

8 0
3 years ago
Read 2 more answers
On rectangle defg, d is located at -1,-1 , F is located at 4,-8 what is length of ge
Rudiy27

Answer:

ge= \sqrt{74}

Step-by-step explanation:

Given

d = (-1,-1)

f =(4,-8)

Required

Length of ge

The length of ge is the same as the length of df. So, we start by calculating distance gf

D = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

This gives:

D = \sqrt{(-1-4)^2+(-1+8)^2}

D = \sqrt{(-5)^2+7^2}

D = \sqrt{74}

This implies that:

df = \sqrt{74}

ge= \sqrt{74}

5 0
2 years ago
If u drew an right angle. then u drew an angle that was 20 degrees larger what is the measure of the second that u drew?
a_sh-v [17]
Right angle = 90°

20° larger than the right angle = 90 + 20 = 110°


--------------------------------------------------------------------------
Answer: The second angle is 110°. 
--------------------------------------------------------------------------
7 0
2 years ago
Which expression is equivalent to 4 to the negative 3rd power x 2 to the 5th power
Alexus [3.1K]
<span>9.31322575E-10 maybe</span>
5 0
3 years ago
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