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horsena [70]
3 years ago
14

Solve these equations

Mathematics
2 answers:
Step2247 [10]3 years ago
8 0

Answer:

first one=8

second one= -4

third one= -5a

oee [108]3 years ago
5 0

Answer: 8 , -4 , -5a

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In a class of 7, there are 3 students who have done their homework.
max2010maxim [7]

Answer:

4/35

Step-by-step explanation:

Probability of 1 student having no hw is 4/7, then 3/6, then 2/5

4/7 x 3/6 x 2/5 reduces to 4/35

5 0
3 years ago
If the combined area of the white and orange regions is 100π, what is the area of ONLY the orange region?
scoundrel [369]
We know the combined area is 100π, and the combined area includes the white section as well as the orange section.

now, if we take the area of the white circle, and "subtract" it from the combined area, we're in effect, making a whole in the larger circle, and what's leftover is just the orange part, because the white would have been subtracted out,

\bf \textit{area of a white circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
r=6
\end{cases}\implies A=\pi 6^2\implies A=36\pi 
\\\\\\
\stackrel{combined~area}{100\pi }~~-~~\stackrel{white~circle's~area}{36\pi }\implies \stackrel{orange~section}{64\pi }
7 0
3 years ago
The perimeter of a rectangle swimming pool Is 84 meters. The width of the pool is 3/4 the length. What are the length and width
soldier1979 [14.2K]

Given:

Perimeter of rectangular swimming pool = 84 meters

Width of pool = 3/4 of the length

Let's find the length and width of the pool.

Since the swinning pool has the shape of a rectangle and we have the perimeter, to find the length and width, apply the perimeter of a rectangle formula:

\text{Perimeter = 2(L + W)}

Where:

L is the length

W is the width.

Given:

W = ¾L

Substitute 84 for perimeter and ¾L for W.

Hence, we have:

\begin{gathered} P=2(L+W) \\  \\ 84=2(L+\frac{3}{4}L) \end{gathered}

Let's evealuate the equation and solve for L.

We have:

\begin{gathered} 84=2(L+0.75L) \\  \\ 84=2(1.75L) \\  \\ 84=3.5L \end{gathered}

Divide both sides by 3.5:

\begin{gathered} \frac{84}{3.5}=\frac{3.5L}{3.5} \\  \\ 24=L \\  \\ L=24\text{ meters} \end{gathered}

To solve for the width W, substitute 24 for L in (W=¾L)

\begin{gathered} W=\frac{3}{4}\times L \\  \\ W=\frac{3}{4}\times24 \\  \\ W=\frac{3\times24}{4} \\  \\ W=\frac{72}{4} \\  \\ W=18\text{ meters} \end{gathered}

Therefore, the length of the swimming pool is 24 meters, while the width is 18 meters.

ANSWER:

Length = 24 meters

Width = 18 meters

8 0
1 year ago
Find the area of the shape shown below
lana66690 [7]
The area of a trapezoid is A = (a+b/2)(h).
So just plug in your numbers.

8 0
4 years ago
What is the difference of the complex number ms below (11-3i) - (4+5i)
Alexeev081 [22]

Answer:

11-3i-4-5i

=11-4-3i-5i

=7-8i

4 0
3 years ago
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