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3 years ago

Can you help me?Answer the question please

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

5 0

Hey there! :D

1. c - 7 = 32

To solve this problem, add the difference and the subtrahend of the given equation.

$32 + 7 = \boxed{\sf 39}$

Checking:

To check, simply substitute the conclusion on the unknown quantity.

39 (c) - 7 = 32

Thus, the equation was correct which gives us the answer that:

$\large \boxed{ \sf {\: c = 39}}$

$\begin{gathered} \\ \end{gathered}$

2. r + 4 = 39

To solve this problem, subtract the sum and the addend of the given equation.

$39 - 4 = \boxed{\sf 35}$

Checking:

To check, simply substitute the conclusion on the unknown quantity.

35 (r) + 4 = 39

Thus, the equation was correct which gives us the answer that:

$\large\boxed{ \sf {r \: = \: 35}}$

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Triangle xyz is a right triangle with lengths shown what is the decimal value of sin z? Round the answer to the nearest thousand

viktelen [127]

A trick to solve these kind of problems would be...

SOHCAHTOA

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Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent

Then your answer to find Sin Z...
You're looking for an angle measurement so you're going to use an inverse operation.

You'd do...

Sin = 24/40

24/40 = .6

Then you'd use your inverse so...

Z°= Sin^-1(.6)

Z = 36.8698°

Rounding

Z = 36.870°

If you're using a scientific calculator. Make sure to put your calculator in degree mode to find the angle measurements and in radians to find missing side lengths.

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3 years ago

A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is

Vikki [24]

Answer:

The diameter is twice that, or approx. 7.90 units.

Step-by-step explanation:

the equation for the volume of a cylinder of radius r and height h is

V = πr²h. Here we need to calculate the diameter after having found the radius. Solving V = πr²h for r², we get:

r² = -----------

πh

Substituting the given values, we obtain for r² the following:

145 units³

r² = ------------------------ = 15.6 units²

3.14159(5 units)

Taking the square root of both sides, we get:

r = √15.60, or approx. 3.95 units.

The diameter is twice that, or approx. 7.90 units.

3 0

3 years ago

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What is 2 to the 3rd power multiply by 10 subtract 8 + 3.5 to the second power

alex41 [277]

Answer:

84.25

Step-by-step explanation:

first do the powers 2 to the 3rd power 8 3.5 to the second power 12.25 8 x 10 80 - 8 = 72 + 12.25 = 84.25

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3 years ago

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Find all points on the curve x=4cos(t),y=4sin(t) that have the slope of 12.

Marianna [84]

Answer:

$\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )$ .

Step-by-step explanation:

We need to find all the points on the curve x=4cos(t),y=4sin(t) that have the slope of 1/2.

$x=4cos (t)$

$\dfrac{dx}{dt}=-4sin (t)$

$y=4sin (t)$

$\dfrac{dy}{dt}=4cos (t)$

Now,

$\dfrac{dy}{dx}=\dfrac{dy}{dt}\times \dfrac{dt}{dx}$

$\dfrac{dy}{dx}=4cos (t)\times \dfrac{1}{-4sin (t)}$

$\dfrac{dy}{dx}=-\cot t$

So, slope of the curve is $-\cot t$ .

$-\cot t=\dfrac{1}{2}$

$-\tan t=2$

$\tan t=-2$ ...(1)

Using $\sec^2t=1+\tan^2t$ , we get

$\sec^2t=1+(-2)^2$

$\sec^2t=1+4$

$\sec t=\pm \sqrt{5}$

$\cos t=\pm \dfrac{1}{\sqrt{5}}$

Now,

$\sin^2t=1-cos^2t$

$\sin t=\pm \sqrt{1-\dfrac{1}{5}}$

$\sin t=\pm \sqrt{\dfrac{4}{5}}$

$\sin t=\pm \dfrac{2}{\sqrt{5}}$

It equation (1), tan(t) is negative. So, sin and cos have different signs.

If $\sin t= \dfrac{2}{\sqrt{5}}$ , then $\cos t=- \dfrac{1}{\sqrt{5}}$ .

$x=4cos (t)=-\dfrac{4}{\sqrt{5}}$

$y=4sin (t)=\dfrac{8}{\sqrt{5}}$

If $\sin t=- \dfrac{2}{\sqrt{5}}$ , then $\cos t= \dfrac{1}{\sqrt{5}}$ .

$x=4cos (t)=\dfrac{4}{\sqrt{5}}$

$y=4sin (t)=-\dfrac{8}{\sqrt{5}}$

Therefore, the two points are $\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )$ .

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3 years ago

Which of the following is equivalent to (125^2/ 125^4/3)

zysi [14]

Option D:

The expression equivalent to the given expression is 25.

Solution:

The image of the question is attached below.

Given expression:

$$\left(\frac{125^{2}}{125^{\frac{4}{3}}}\right)$