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ANTONII [103]
2 years ago
5

the height of a triangle is 7cm greater than its base and its area is 15cm squared. find the value of its height

Mathematics
1 answer:
Rudiy272 years ago
5 0

Answer:

Step-by-step explanation:

Let base be b, height be h

h = 7+b or we can say that b = h -7

A = 15 cm²

General formula for area of a triangle

A = b · h

Substitute what we know to find the height h

15 = (h-7) · h

15 = h² -7h

0 = h²-7h -15

h = (7 ±√49 + 4·1·15)/2

h = (7 ±√109)/2

h ≈ -1.72 reject this solution because height cannot be negative

h ≈ 8.72 cm

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the time required to assemble computers varies directly as the number of computers assembled and inversely as the number of work
olga2289 [7]

Answer:

16 hours

Step-by-step explanation:

let t be time, n the number of computers and w the number of workers, then

t = \frac{kn}{w} ← k is the constant of variation

To find k use the condition n = 30, w = 6 and t = 10 , then

10 = \frac{30k}{6} ( multiply both sides by 6 )

60 = 30k ( divide both sides by 30 )

2 = k

t = \frac{2n}{w} ← equation of variation

When w = 5 and n = 40 , then

t = \frac{2(40)}{5} = \frac{80}{5} = 16 hours

3 0
3 years ago
Which equation is equivalent to (1/3)x=27x+2?
erma4kov [3.2K]
I hope this helps you


x=3. (27x+2)

x=81x+6

80x=-6

x=-3/40
7 0
3 years ago
Read 2 more answers
15 times as much as 1 fifth of 12
Ann [662]
1) Work out what 1/5 of 12 is
To do this, we divide 12 by 5
12/5 = 2.4

2) Multiply 2.4 by 15
2.4 x 15 = 36

<em>If you don't like decimals, you can also do it this way...
</em>
This can be rewritten as 15  x  1/5  x  12
Multiplications alone can be performed in any order

1) Work out what 1/5 of 15 is
1/5 of 15
15/5 = 3

2) 3 multiplied by 12
3 x 12 = 36
8 0
4 years ago
Read 2 more answers
a corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56 anithert vendor was selling a bad of 12 for 4.32
maria [59]

Answer:

8 for 2.56

Step-by-step explanation:

THE ANSWER IS IN CENTS.

2.56 ÷ 8 = 0.32 per ear

4.23 ÷ 12 = 0.36 per ear

3 0
3 years ago
Please help me!!! I will try to mark brainliest if the answer is correct!
netineya [11]

Answer:

I think the first is answer bcz 35+55=90 ..... 180-90=90

5 0
3 years ago
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