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Delvig [45]
3 years ago
15

Find two consecutive even integers such that 3 times the smaller integer is 16 more than twice the larger

Mathematics
1 answer:
Verdich [7]3 years ago
4 0

n, n + 2 - two consecutive even integers

3n = 2(n + 2) + 16     |use distributive property

3n = (2)(n) + (2)(2) + 16

3n = 2n + 4 + 16

3n = 2n + 20     |subtract 2n from both sides

n = 20

n + 2 = 20 + 2 = 22

Answer: 20, 22.

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AysviL [449]

Falling at the rate of 2.5 m/s for 45 seconds, the anchor fell

                                     (2.5 m/s) x (45 s)  =  112.5 meters .

If it wound up only 40 meters underwater, then it must have fallen

                                      (112.5 m  -  40 m)  =  72.5 meters

from its storage position on the big cruise ship, 
before it ever reached the water.

Since it was falling at the rate of  2.5 m/s, it took

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6 0
3 years ago
Please answer this question now
Alexeev081 [22]

Answer:

Area = 400.4 m^2

Step-by-step Explanation:

Given:

∆UVW,

m < U = 33°

m < V = 113°

VW = u = 29 m

Required:

Area of ∆UVW

Solution:

Find side length UV using Law of Sines

\frac{u}{sin(U)} = \frac{w}{sin(W)}

U = 33°

u = VW = 29 m

W = 180 - (33+113) = 34°

w = UV = ?

\frac{29}{sin(33)} = \frac{w}{sin(34)}

Cross multiply

29*sin(34) = w*sin(33)

Divide both sides by sin(33) to make w the subject of formula

\frac{29*sin(34)}{sin(33)} = \frac{w*sin(33)}{sin(33)}

\frac{29*sin(34)}{sin(33)} = w

29.77 = w

UV = w = 30 m (rounded to nearest whole number)

Find the area of ∆UVW using the formula,

area = \frac{1}{2}*u*w*sin(V)

= \frac{1}{2}*29*30*sin(113)

= \frac{29*30*sin(113)}{2}

Area = 400.4 m^2 (to nearest tenth).

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3 years ago
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Answer:

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Step-by-step explanation:

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