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1 year ago

Is anyone able to solve this?

Mathematics

1 answer:

Olenka [21]1 year ago

4 0

Explanation:

To find x we need to find the unknown side that connects the two triangles using the Pythagorean theorem:

a² + b² = c² (c is always hypotenuse)

So:

a² + 6² = 9²

a² = 9² - 6²

a² = 81 - 36

a² = 45

a = sqrt45

Now we do the same thing for the other triangle:

x² + 5² = sqrt45²

x² + 25 = 45

x² = 20

x = 2√5 or 4.5...

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Please help, I need input on if I did this correctly and you just substitute.

kow [346]

The value of h(t) when $t=\frac{15}{32}$ is 10.02.

Solution:

Given function $h(t)=-16t^2+15t+6.5$

To find the value of h(t) when $t=\frac{15}{32}$ :

$h(t)=-16t^2+15t+6.5$

Substitute $t=\frac{15}{32}$ in the given function.

$$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5$

$$=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5$

Now multiply the common terms into inside the bracket.

$$=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5$

Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.

$$=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5$

To make the denominator same, take LCM of the denominators.

LCM of 64 and 32 = 64

$$=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}$

$$=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}$

$$=\frac{-225+450+416}{64}$

$$=\frac{641}{64}$

= 10.02

$$h\left(\frac{15}{32} \right)=10.02$

Hence the value of h(t) when $t=\frac{15}{32}$ is 10.02.

8 0

3 years ago

Find the probability of getting a head when you flip a coin, and then getting a vowel when you draw from a bag of letters with t

lesantik [10]

Answer:

UM I am not sure how you want this but a coin it is 50 50 or 1/2 and with the probability of getting a vowel is 5/26.

Step-by-step explanation:

Pls tell me if I am wrong I have no learned this yet if I am wrong I will edit it to be right.

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3 years ago

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DochEvi [55]

Answer:

18-4s

Step-by-step explanation:

15+3-4s

You just simplify to get 18-4s.

Hope that helped!

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3 years ago

607351+57299-57389=? ANSWER REALLY FAST

castortr0y [4]

Answer:

607,261

Step-by-step explanation:

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Reika [66]

The answer would be 73.60 dollars hope this helps!!!

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