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3 years ago

Solve for x. Round to the nearest tenth.

Mathematics

1 answer:

amm18123 years ago

5 0

Answer:

Step-by-step explanation:

Youre given the hypotenuse but want the opposite, so you can use sine. SOHCAHTOA

sin(24) = x/9

x = 3.7

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C=85x+60<br> solve for x

Tatiana [17]

To solve for x:

<span>C=85x+60 subtract 60 from both sides
</span>
<span>C - 60=85x+60 - 60

C - 60 = 85x now divide by 85 both sides

(C - 60)/85 = x

So we can write:
$x= \frac{C-60}{85}$

</span>

I hope that helps!

3 0

3 years ago

A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,

KiRa [710]

Answer:

$E(p)=51,450p+346,920$

Step-by-step explanation:

The function

$m(p) = 175p + 1,180$

gives the mass of the car as a function of the number of passengers in it.

And the function

$E(m) = 9.8m*h$

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

$E(m) =9.8m*(30)$

$E(m) =294m$

And to find the potential energy as a function of the number of passengers, we just substitute $m(p)$ into $E(m)$ to get:

$E(m(p))=294(175p+1180)$

$\boxed{ E(p)=51,450p+346,920}$

which gives the potential energy as a function of the number of passengers.

7 0

4 years ago

Please help me with this!!

larisa86 [58]

Answer:

Step-by-step explanation:

b/c these are similar triangle we can say this ratio of the two triangles is true

15/x = 31/(44+x)

now just use algebra to solve for x

15*(44+x) = 31x

660+15x = 31x

660=16x

41.25 =x

41.3 looks good

6 0

3 years ago

What are the values that make x^2 + bx + 64 a perfect square?

Paladinen [302]

Answer:

b = ±16

Step-by-step explanation:

Normally to find the number we add to make it a perfect square

We take the coefficient of x

Divide by 2

b/2

Then square it

(b/2) ^2

In this case, we are adding 64

(b/2) ^2 = 64

Take the square root of each side

sqrt((b/2) ^2) = sqrt(64)

b/2 = ±8

Multiply each side by 2

b/2*2 = ±8 *2

b = ±16

8 0

4 years ago

Read 2 more answers

Total blood cholesterol level was measured for each of

laiz [17]

<h3>Answer: Mean = 218.9.</h3><h3>Median = 229</h3><h3>Mode = Zero mode.</h3>

Step-by-step explanation:

Given blood cholesterol level was measured for each of 8 adults (in mg/dL) are:

264, 191, 160, 148, 262, 212, 268, 246

In order to find the mean, we need to add all those 8 numbers and divide by 8.

Therefore, mean = $\frac{264+191+160+148+262+212+268+246}{8} =\frac{1751}{8} =218.9.$

In order to find the median, we need to arrange them in ascending order:

148, 160, 191, 212, 246, 262, 264, 268.

The middle most two values are 212 and 246.

Therefore, median = $\frac{212+246}{2} =\frac{458}{2} = 229.$

<h3>Median = 229.</h3>

$\mathrm{The\:mode\:is\:the\:term\:in\:the\:data\:set\:that\:appears\:the\:most.}$

$\mathrm{If\:there\:is\:more\:than\:one\:term\:that\:appears\:the\:most,\:then\:there\:is\:no\:mode.}$

$\mathrm{Count\:the\:number\:of\:times\:each\:element\:appears\:in\:the\:list}$

$\begin{pmatrix}148&160&191&212&246&262&264&268\\ 1&1&1&1&1&1&1&1\end{pmatrix}$

$\mathrm{The\:most\:common\:element\:is\:not\:unique,\:so\:there\:is\:no\:mode}$

<h3>Therefore, Mode = Zero mode.</h3>

5 0

4 years ago