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2 years ago

Draw a picture first, then use the Pythagorean Theorem to solve. Round

Mathematics

1 answer:

zavuch27 [327]2 years ago

8 0

Answer:

your answer would be 9.4

Step-by-step explanation:

you'd have to plug in the numbers in the equation.

8^2 + 5^2 = c^2

64 + 25 = c^2

89 = c^2 then you'd do the square root of 89 which will give you 9.4 when rounded to the nearest tenth.

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1. Suppose you take a coin and flip it 4 times in a row. After each flip you record whether the coin landed heads or tails. What

bekas [8.4K]

Answer:

25%

Step-by-step explanation:

Great question, since a regular coin has two sides one heads and one tails. That gives us a 50% probability of it landing on either side of the coin. Since we would like to know the probability of getting 2 heads in a row, we would need to multiply the probability of the first toss landing on heads with the second toss landing on heads, like so...

$\frac{1}{2} *\frac{1}{2} =\frac{1}{4}$

So we can see that the probability of us getting two heads in a row is that of \frac{1}{4}[/tex] or 25%.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

4 0

2 years ago

There are 9 teachers and 5 aides at the Hills Elementary School. What is the ratio of teachers to all adults?

nexus9112 [7]

Answer:

C. $\frac{9}{14}$ , 9:14 , or 9 to 14

Step-by-step explanation:

With there being 9 teachers and 5 aides, the total number of adults is 14, leaving a fraction of $\frac{9}{14}$ , 9 teachers and 14 adults. Checking to simplify, there are no shared values by 9 and 14, so it is in it's simplest form.

7 0

3 years ago

HELP Please I really need the answer

SpyIntel [72]

Step-by-step explanation:

a full circle has 360°.

so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.

labour = 360 - 136 - 34 - 54 - 14 = 122°

the fraction 122/360 represents the 183 votes for labour.

122/360 = 183

the fraction 1/1 = 1 then represents the total number of votes in the whole system.

61/180 = 183

1/180 = 3

1 = 3×180 = 540

540 pupils voted altogether.

3 0

2 years ago

Find the midpoint between (4,-1) and (3,2)

zepelin [54]

Midpoint has form of,

$M(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

We can insert the data,

$M(\dfrac{4+3}{2},\dfrac{-1+2}{2})$

Which simplifies to,

$\boxed{M(3.5, 0.5)}$

Hope this helps.

r3t40

4 0

2 years ago

Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1

belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

$F(x) = \int\limits^a_b {f(x)} \, dx$

By using integration formula

$\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c$

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

$\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx$

On integration , we get

= $(\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}$

$F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)$

= $(\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))$