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3 years ago

In a 45-45-90 triangle, the hypotenuse is 7, find both the legs

Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

Answer: If the hypotenuse is 7, the other 2 sides are $\sqrt{24.5}$ 0r about = 4.95

Step-by-step explanation: in a 45-45-90 triangle, the legs are equal.

a² + b² = c² . 2(a²) = 49 a² = 49/2

So find the square root of 24.5

$\sqrt{24.5}$ =4.949747468 .round to 4.95

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What is the unit rate of 588 and 12

leva [86]

Answer:

Step-by-step explanation:

588 divided by 12 49

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12 divided by 12 1

Hope this helped, click thanks if it did

6 0

3 years ago

1 Point

I am Lyosha [343]

Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

$\text { Volume of a cylinder }=\pi r^{2} h$

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e

$\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}$

<em><u>Ratio for the volumes of two cylinders</u></em>

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}$

Cancelling the common terms, we get

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)$

Substituting we get,

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}$

Hence, the ratio of volume of two cylinders is 8 : 27

7 0

3 years ago

Find the difference of the following sequence: -7, -9, -11...<br><br> Difference: ___

Anna007 [38]

Hmmmmmm I think I know the answer to this

3 0

3 years ago

Read 2 more answers

Nick bought a new car.

ira [324]

Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:

$A(t) = A(0)(0.88)^t$ .

It halves in value at t years, for which A(t) = 0.5A(0), hence:

$A(t) = A(0)(0.88)^t$

$0.5A(0) = A(0)(0.88)^t$

$(0.88)^t = 0.5$

$\log{(0.88)^t} = \log{0.5}$

$t\log{0.88} = \log{0.5}$

$t = \frac{\log{0.5}}{\log{0.88}}$

t = 5.42.

It takes 5.42 years for the car to halve in value.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

9 0

2 years ago

30 POINT REWARD!!! (haha I need to write 20 characters so that why this is here ps. please help)

aksik [14]

Answer

Sorry, I need points to ask more question.

3 0

3 years ago