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krok68 [10]
2 years ago
14

In ΔNOP, the measure of ∠P=90°, PO = 48, NP = 55, and ON = 73. What is the value of the sine of ∠N to the nearest hundredth?

Mathematics
1 answer:
mojhsa [17]2 years ago
4 0

Answer:

0.66

Step-by-step explanation:

sin 90°/ 73 = sin <em>L</em><em> </em>N /48

=> sin <em>L</em><em> </em>N = 48×sin90° /73

= 48/73 = 0.66

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Walt is mixing fruit punch for a party. He combines 1 gallon 2 quarts 3 pints of orange juice, 1 gallon 3 quarts 7 pints of pine
mafiozo [28]
1 gal + 2 qt + 3 pts
1 gal + 3 qt + 7 pts
1 gal + 3 qt + 3 pts
----------------------------add
3 gal + 8 qt + 13 pts

1 gal = 4 qts
1 gal = 8 pts
1 pt = 1/2 qt

13 pts =  6.5 qts
now we have 3 gal + (8 + 6.5) = 3 gal + 14.5 qts
12 qts = 3 gal
now we have : 6 gal + 2.5 qts or 6 gal + 2 qts + 1 pt <=== answer


5 0
3 years ago
Find the range of the function f(x) = 4x - 7,
ratelena [41]

Answer:

(- 19, - 11, 5, 25)

Step-by-step explanation:

The given function is f(x) = 4x - 7

Now, we have to find the range of the given function for the given domains.

The domains are given as (2 - 5, - 1, 3, 8) i.e. (- 3, - 1, 3, 8).

Therefore, f(- 3) = 4(- 3) - 7 = - 19

f(- 1) = 4(- 1) - 7 = - 11

f(3) = 4(3) - 7 = 5

f(8) = 4(8) - 7 = 25

So, the ranges of the function are (- 19, - 11, 5, 25) (Answer)

8 0
3 years ago
The volume of this triangular prism is 140 cubic millimeters. What is the value of d? Please need help!!
Lelechka [254]

Answer:

7 millimeters

Step-by-step explanation:

Volume is the area of the base times it's length.

140/10 is 14

so the area of the triangle is 14

the formula for area of a triangle is base times height divided by 2

so

d x 4/ 2 = 14

multiply both sides by 2

d x 4 = 28

divide both sides by 4

d=7

6 0
3 years ago
3 Which expression is equivalent to<br> 19 - 27?
Elanso [62]

Answer: 19 + (-27)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Given: circle k(O), m<br> LM<br> = 164°<br> m<br> WK<br> = 68°, m∠MLK = 65°<br> Find: m∠LMW
Semenov [28]

Let P be a point outside the circle such that triangle LMP has legs coincident with chords MW and LK (i.e. M, W, and P are colinear, and L, K, and P are colinear). By the intersecting secants theorem,

m\angle LPM=\dfrac{m\widehat{LM}-m\widehat{WK}}2\impliesm\angle LPM=48^\circ

The angles in any triangle add to 180 degrees in measure, and \angle MLK\congruent\angle MLP and m\angle LMW=m\angle LMP, so that

m\angle MLK+m\angle LPM+m\angle LMP=180^\circ

\implies\boxed{m\angle LMW=67^\circ}

6 0
3 years ago
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