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valentinak56 [21]
3 years ago
6

What is the phrase for 3(y+4)

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

I believe its

y plus 4 multiplied by 3

Hope this helps!

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the blueprint of a conference room is made using a scale of 2 centimeters to 1 meter. if the drawing shows the room is 12 centim
aksik [14]

Answer:

6meters

Step-by-step explanation:

Use simple proportion

2cm = 1m

12cm = ?

(12x1)/2 = 6m

6 0
3 years ago
Read 2 more answers
Find the area that the curve encloses and then sketch it.<br> r = 3 + 8 sin(6)
Rudiy27

Answer:

A=41\pi\: \text{units}^2\approxA\approx128.8053\:\text{units}^2

Step-by-step explanation:

I assume you mean r=3+8\sin\theta:

Use the formula \displaystyle A=\int\limits^a_b \frac{1}{2} {r(\theta)^2} \, d\theta where a and b are the lower and upper bounds and r(\theta) is the equation of the polar curve.

Since the graph is symmetrical about the line \displaystyle \theta=\frac{\pi}{2}, let the bounds of integration be \displaystyle \biggr(-\frac{\pi}{2},\frac{\pi}{2}\biggr) to find half the area of the curve, and then find twice of that area:

\displaystyle A=\int\limits^a_b \frac{1}{2} {r(\theta)^2} \, d\theta\\\\A=2\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \frac{1}{2} {(3+8\sin\theta)^2} \, d\theta\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} 9+48\sin\theta+64\sin^2\theta \, d\theta\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} 9+48\sin\theta+64\biggr(\frac{1-\cos2\theta}{2} \biggr) \, d\theta\\\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} (9+48\sin\theta+32-32\cos2\theta) \, d\theta

\displaystyle A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} (41+48\sin\theta-32\cos2\theta) \, d\theta\\\\A=41\theta-48\cos\theta-16\sin2\theta\biggr|^{\frac{\pi}{2}}_{-\frac{\pi}{2}}\\\\

A=\biggr[41\biggr(\frac{\pi}{2}\biggr)-48\cos\biggr(\frac{\pi}{2}\biggr)-16\sin2\biggr(\frac{\pi}{2}\biggr)\biggr]-\biggr[41\biggr(-\frac{\pi}{2}\biggr)-48\cos\biggr(-\frac{\pi}{2}\biggr)-16\sin2\biggr(-\frac{\pi}{2}\biggr)\biggr]\\\\A=\biggr[\frac{41\pi}{2}-24\sqrt{2}\biggr]-\biggr[-\frac{41\pi}{2}+24\sqrt{2}\biggr]\\ \\A=41\pi\\\\A\approx128.8053

Thus, the area of the curve is 41π square units. See below for a graph of the curve and its shaded area.

7 0
3 years ago
-Question Worth 50 Points-
Naddika [18.5K]
<span>At the city park there were 15 blue jays, 6 cardinals, and 9 mockingbirds. 

6 mockingbirds is 2/3 of 9
so 2/3 of 6 is 4 cardinals 

5 blue jays is 1/3 of 15
so 1/3 of 6 cardinals is 2 cardinals

There are 20 cardinals, how many mockingbirds.
the ratio is 2/3, so 20/30 is your answer

hope this helps</span>
3 0
3 years ago
Every Friday for 8 weeks Kylan withdrew $35.50 from his savings account. How much did he withdrew in all?
Marina CMI [18]

Answer:

$284

Step-by-step explanation:

You multiply 35.50 by 8

8 0
3 years ago
Electricity travels how many miles per second
Solnce55 [7]
Electricity travels at 186,000 MPS
6 0
3 years ago
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