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True [87]
2 years ago
7

Suppose that ∠BNR and ∠RNA are adjacent angles where m∠BNR=12w-19,

Mathematics
1 answer:
wariber [46]2 years ago
6 0

Answer:

Step-by-step explanation:

Sum of interior adjacent angle is 180 degrees.

Given  

m∠BNR=12w-19,

m∠RNA= ¼(w+199)

m∠BNA=2(12w-19).

Substitute

m∠BNR+m∠RNA=

¼(w+199)+12w-19, = 2(12w-19).

W+796+48W-76 = 96W-152

49W-96W = -152+76-796

-47W = 872

W = 872/47

W = 18.55

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drek231 [11]

An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.

<h3>How to write an expression for the total cost?</h3>

In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:

  • Let the cost for full-day be F.
  • Let the cost for half-day be H.
  • Let total cost be T.

Thus, the total cost of the daycare is given by:

T = 3F + 2H

Evaluating the expression, we have:

T = 3(28) + 2(15)

T = 84 + 30

T = $114.

Read more on expressions here: brainly.com/question/12189823

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2 years ago
A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the
LekaFEV [45]

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64

Hence, the lighthouse is 34.64 m tall.

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3 years ago
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25n + 2

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Answer:

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Step-by-step explanation:

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Find the solutions to the equation<br><br> -3y(2y+5)=0
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Answer:

The solutions are y=0, -5/2

Step-by-step explanation:

-3y(2y+5)=0

We can use the zero product property

-3y =0  2y+5 =0

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The solutions are y=0, -5/2

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2 years ago
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