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3 years ago

The length of the base of a triangle is twice its height. If the area of the triangle is 64 square kilometers, find the height.

1 answer:

6 0

Area of a triangle = base x height / 2
64 = base x height / 2
(multiply 2 on both sides)
128 = base x height
then if base= 16 and height = 8 then 16 x 8 = 128
thus the base is 16 which is twice the height:8

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Austin wants to make twelve gallons of 46% acid solution by mixing together 65% acid solution and a

jarptica [38.1K]

Answer:

Austin should use 8.2 gallons of 65% acid solution and 3.8 gallons 5% acid solution

Step-by-step explanation:

Let

x ----> the gallons of 65% acid solution needed

y ----> the gallons of 5% acid solution needed

Remember that

$46\%=46/100=0.46$

$65\%=65/100=0.65$

$5\%=5/100=0.05$

we know that

$x+y=12$ -----> equation A

$0.65x+0.05y=0.46(12)$ -----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is (8.2,3.8)

therefore

Austin should use 8.2 gallons of 65% acid solution and 3.8 gallons 5% acid solution

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2 years ago

Which ordered pairs are solutions to the equation<br> 2x + 10y = 12?

vovangra [49]

Answer:

(4,2/5) (−5,11/5)

Step-by-step explanation:

To determine which pairs are solutions, substitute the coordinates into the left side of the equation and if equal to the right side then they are solutions.

(7, - 2)

2(7) + 10(- 2) = 14 - 20 = - 6 ≠ 12 → (7, - 2) is not a solution

(- 5, - 4)

2(- 5) + 10(- 4) = - 10 - 40 = - 50 ≠ 12 → (- 5, - 4) is not a solution

(4, )

2(4) + 10() = 8 + 4 = 12 → hence solution

(- 5, )

2(- 5) + 10( ) = - 10 + 22 = 12 → hence solution

4 0

3 years ago

Read 2 more answers

I don’t know if I did this correctly. Please help !!!!!! Will mark Brianliest !!!!!!!!!!!!! URGENT !!!!!!!!!!!!!!!!!

klasskru [66]

Answer:

From J to K: right 6 units, down 4 units

From K to J: left 6 units, up 4 units

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2 years ago

ASAP! Question 3: The following data give the weights (in pounds) lost by 15 members of a health club at the end of 2 months aft

Klio2033 [76]

Answer:

First arrange the data in an order

3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21

a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7

Q2 = 2(16)/4 = 16/2 = 8th item = 12

Q3 = 3(16)/4 = 3(4) = 12th item = 17

IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5

b.) 82nd percentile = 82(16)/100 = 13th item = 17

c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%

Step-by-step explanation:

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3 years ago

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AVprozaik [17]

31.51

r=−5

d=19

h<53

Step-by-step explanation:

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3 years ago

The length of the base of a triangle is twice its height. If the area of the triangle is 64 square​ kilometers, find the height.

The length of the base of a triangle is twice its height. If the area of the triangle is 64 square kilometers, find the height.