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2 years ago

Please help thank you

Mathematics

1 answer:

lina2011 [118]2 years ago

4 0

1)
answer
A. PQR = PSQ = QSR

2)
answer
B. MNO = MOP = PNO

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0= 8-2x divided by 5

Stells [14]

Answer:

Step 1: Simplify both sides of the equation.

0= 8− $\frac{2x}{5}$

0 = 8 + $\frac{-2}{5}x$

0 = $\frac{-2}{5}x+8$

Step 2: Flip the equation.

$\frac{-2}{5} x + 8=0$

Step 3: Subtract 8 from both sides.

$\frac{-2}{5} x+8-8=0-8$

$\frac{-2}{5} x=-8$

Step 4: Multiply both sides by 5/(-2).

$(\frac{5}{-2} ) *( \frac{-2}{5} x) = (\frac{5}{-2} )*(-8)$

<h2>Therefor, the answer is x=20</h2><h2 />

* Hopefully this helps. Mark me the brainliest:)!!!

3 0

2 years ago

A candy company makes boxes of chocolates. Each box has 32 chocolates total. Of those 32 chocolates 14 of them have nuts. If the

Agata [3.3K]

Answer: 266

Step-by-step explanation: This is a ratio problem. If there are 14 chocolates with nuts out of every 32 chocolates, you can use this as a ratio and set it up as a proportion.

(1) 14 chocolates w/ nuts / 32 chocolates = n chocolates / 608 chocolates

(2) Solve for n: 8,512 = 32n; n = 266

7 0

3 years ago

A waffle recipe calls for 2 and1/4 cups of flour. If Chun wants to make1 1/2 times the recipe, how much flour does he need?

balandron [24]

2 1/4 x 1 1/2 = 3.375 cups of flour

5 0

3 years ago

Serena has $130 in her bank account . Her account is compounded quarterly for 2 years at a 9.4% interest rate . What is her tota

____ [38]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$130\\
r=rate\to 9.4\%\to \frac{9.4}{100}\to &0.094\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &2
\end{cases}
\\\\\\
A=130\left(1+\frac{0.094}{4}\right)^{4\cdot 2}\implies A=130(1.0235)^8$

7 0

3 years ago

Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ

mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...

Anyways, the half angle identity for tangent is

$tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}$

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) }$ which simplifies a bit to

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }$ and a bit more to

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }$

Bring up the lower fraction and flip it to divide to get

$tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1}$ which of course simplifies to

-3. Choice A.

6 0

3 years ago