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nikklg [1K]
3 years ago
9

Plz help!! 10 points!

Mathematics
2 answers:
Butoxors [25]3 years ago
7 0

Answer:

I think the answer is D.

Step-by-step explanation:


True [87]3 years ago
4 0

Answer:

answer is D hope helps

Step-by-step explanation:

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Find the volume of a trough 5 meters long whose ends are equilateral triangles, each of whose
yawa3891 [41]

Answer:

V=5\sqrt{3}\ m^3

Step-by-step explanation:

we know that

The volume of a trough is equal to

V=BL

where

B is the area of equilateral triangle

L is the length of a trough

step 1

Find the area of  equilateral triangle B

The area of a equilateral triangle applying the law of sines is equal to

B=\frac{1}{2} b^{2} sin(60\°)

where

b=2\ m

sin(60\°)=\frac{\sqrt{3}}{2}

substitute

B=\frac{1}{2}(2)^{2} (\frac{\sqrt{3}}{2})

B=\sqrt{3}\ m^{2}

step 2

Find the volume of a trough

V=BL

we have

B=\sqrt{3}\ m^{2}

L=5\ m

substitute

V=(\sqrt{3})(5)

V=5\sqrt{3}\ m^3

3 0
3 years ago
A diver jumps up and over from a cliff in order to avoid rocks and land in the deeper water. The path of the dive can be modeled
lions [1.4K]

Answer:

48.06  to the nearest hundredth.

Step-by-step explanation:

f(x) = -16x^2 + 2x + 48

To find the maximum height we convert to vertex form:

= -16(x^2 + 1/8x) + 48

= -16[x + 1/16)^2 - 1/256] + 48

= -16(x + 1.16)^2  + 16/256 + 48

= 48.0625.

4 0
3 years ago
Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of
Marianna [84]

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is C=25(1.025)^x

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28

It will take 28 years

5 0
3 years ago
If 6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in how many minutes​
Marianna [84]

Answer:

<u>It'll</u><u> </u><u>take</u><u> </u><u>1</u><u>4</u><u>4</u><u> </u><u>minutes</u><u> </u><u>for</u><u> </u><u>5</u><u> </u><u>pipes</u><u>.</u>

Step-by-step explanation:

{ \sf{6 \: pipes = 120 \: mins}} \\ { \sf{5 \: pipes = ( \frac{6}{5}  \times 120) \: mins}} \\  \\  = { \sf{144 \: mins}}

but practically, it seems to be abnormal. if 6 pipes take 120 mins, 5 pipes must takes a time greater than 120 mins cause amount of water flowing to the tank is decreasing.

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