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3 years ago

Fine the length of the hypotenuse of a Right triangle with legs pf 20cm and21cm

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

Hypotenuse² = perpendicular² + base²

H² = 20²+21²

H²= 400+441 = 841

H = √841

H = 29 cm

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The height of a soccer ball thrown of a hill can be modeled by the equation h = -16t^2 -8t +120.

inessss [21]

Answer:

120 feet

Step-by-step explanation:

You have to find the y-intercept to calculate the initial hight, this can be done by substituting o in for t

h(0)= -16(0)^2-8(0)+120

=120ft

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3 years ago

If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the

lana [24]

3x+5=7x-8
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3 years ago

The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of

tatuchka [14]

Answer:

The probability that the cost is kept within budget or the campaign will increase sales is 0.88

Step-by-step explanation:

The probability that the cost is kept within budget (event A) or the campaign will increase sales (event B) is the union of the probability of those two events. By basic properties of probability, this is:

P(A ∪ B) = P(A) + P (B) - P(A ∩ B)

and for independent events:

P(A ∩ B) = P(A) * P(B)

So:

P(A ∪ B) = 0.80 + 0.40 - (0.80*0.40) = 1.20 - 0.32 = 0.88

5 0

3 years ago

Simplify. 14+4(12−34)2 Enter your answer in the box.

Komok [63]

14 + 8(12-34)

14 + 8(-22)
14 - 176

- 162 is your answer

hope this helps

5 0

3 years ago

Read 2 more answers

Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of

Anastaziya [24]

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + 1

3 = 2 + 1

4 = 3 + 1

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

$sum = \frac{n}{2} \{ a + a _{n} \}$

here,

n is the number of terms
a is the first number of the series
an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

$S = \frac{25}{2}\{ 1 +25\}$

$= \frac{25 \times 26}{2}$

$= 25 \times 13$

$= 325$

So, the value of S comes out to be 325.

8 0

3 years ago

Read 2 more answers