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dsp73
3 years ago
14

It takes 24 hours to fill a large pool with two hoses, where the water in one hose flows four times as fast as the other hose.

Mathematics
1 answer:
ivolga24 [154]3 years ago
3 0
4.8 h
Say the slow hose flows x
The fast hose flows 4x
5x = 24
x = 4.8
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Find the perimeter of the polygon. Round your answer to the nearest tenth.
lubasha [3.4K]

Answer:

Perimeter is 38.8 units and approximately 39 units

Step-by-step explanation:

Given: Graph

To find: perimeter of the polygon

Solution:

Distance between points (x_1,y_1),(x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

As per the graph,

point P is (-2,11)

point Q is (-4,6)

point R is (2,0)

point S is (1,7)

point T is (8,7)

PQ=\sqrt{(-4+2)^2+(6-11)^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{29}=5.4\,\,units\\QR=\sqrt{(2+4)^2+(0-6)^2}=\sqrt{(6)^2+(-6)^2}=\sqrt{72}=8.5\,\,units\\RS=\sqrt{(1-2)^2+(7-0)^2}=\sqrt{(-1)^2+(7)^2}=\sqrt{50}=7.1\,\,units\\ST=\sqrt{(8-1)^2+(7-7)^2}=\sqrt{(7)^2+(0)^2}=\sqrt{49}=7\,\,units\\PT=\sqrt{(8+2)^2+(7-11)^2}=\sqrt{(10)^2+(-4)^2}=\sqrt{116}=10.8\,\,units

Perimeter refers to sum of lengths of all the sides.

Perimeter = 5.4+8.5+7.1+7+10.8=38.8

Or approximately 39 units

3 0
3 years ago
I need help with this
tatyana61 [14]

Answer:

x = 85

Step-by-step explanation:

To solve, first find the angle of the other missing angle in the left by subtracting the outside angle from 180:

180 - 155 = 35

Then add this and the known angle:

35 + 60 = 95

Then subtract this from 180 to get the missing angle for x:

180 - 95 = 85

7 0
3 years ago
Weights of babies at the local community hospital have a distribution that is approximately normal with a mean weight of 7.43 po
KengaRu [80]

Answer:

Step-by-step explanation:

Hope this helped

4 0
3 years ago
8 times the difference between a number and 6 is equal to 4 times the number.
iVinArrow [24]
8(x - 6) = 4x
Distribute.
8x - 48 = 4x
Subtract 8x from both sides.
8x -8x - 48 =4x -8x
Now you have...
-48 = -4x
Divide -4 by both sides.
-48/-4 = -4x/-4
12 = x
The number is 12.
8 0
3 years ago
Read 2 more answers
A water company charges a connection fee each month of $22 and an additional $2.30 per cubic foot of water used. Which function
EastWind [94]

Answer

Find out the total monthly charges for x cubic feet of water used .

To prove

As given

A water company charges a connection fee each month of $22 and an additional $2.30 per cubic foot of water used.

Than the equation become

Total monthly  charges for x cubic feet of water used = Monthly connection fee + charges for x cubic feet of water

thus

f(x) = 22  + 2.30x

where x is the  x cubic feet of water used .

Therefore Option (B) is correct i.e f(x) = 22  + 2.30x .



4 0
2 years ago
Read 2 more answers
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