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Helen [10]
4 years ago
11

How do you distribute to solve the equation 28-2(4^2*4)?

Mathematics
1 answer:
astra-53 [7]4 years ago
5 0

Answer:

28-2(4^2*4)

28 - 2 (4*4*4)

28-2(64)

28 -128 = 100

Step-by-step explanation:

28-2(4^2*4)

28 - 2 (4*4*4)

28-2(64)

28 -128 = 100

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Circumference and Area questions look at the picture
Helga [31]

Note that the formula for the circumference of a circle is πd, while the formula for the area of a circle is πr².

π≈3.14

A. C=πd

Simply plug in the numbers into the formula.

Diameter=Radius*2

17*2=34

C=34(π)

B. (π)(5²)

Plug in the numbers into the formula. Remember that half of the diameter is the radius.

C.  (π)(4.5)

There are two possible formulas that could be used to calculate the circumference of a circle: πd and 2πr.

The expression above is simply multiplying the circle's radius times pi. Therefore, it is not a method that could be used to find the circumference of a circle.

D. (π)(6.5²)

Remember that the formula for calculating the area of a circle is πr².

Half of the diameter is 6.5 (13.5/2=6.5). 6.5 cm. is the radius. Now just plug the numbers into the formula.

(π)(6.5²)

Therefore, the last answer choice is the correct answer.

5 0
3 years ago
(x+a)^2 -7 = x^2 +10x +b<br><br> Work out the value of a and b.
Gekata [30.6K]

Answer:

(x+a)²-7=x²+10x+b

simplifying,we get

x²+2ax+a²-7=x²+10x+b

the coefficient of x on both sides should be equal

therefore

2a=10

a=10/2=5

also for b

a²-7=b

5²-7=25-7=b

b=18

a=5

5 0
3 years ago
Solve: -5y- 9 = -(y - 1)
RoseWind [281]

Answer:

Exact Form:

y=-\frac{5}{2}

6 0
3 years ago
Read 2 more answers
Find the volume V obtained by rotating the region bounded by the curves about the given axis.
BartSMP [9]

Using the disk method, the volume is given by the integral

\displaystyle \pi \int_{\pi/2}^\pi (9\sin(x))^2\,\mathrm dx = 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx

That is, each disk has a radius of <em>y</em> = 9 sin(<em>x</em>) and hence area = <em>π</em> (9 sin(<em>x</em>))². Add up infinitely many such disks by integrating. Then the volume is

\displaystyle 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx = \frac{81\pi}2 \int_{\pi/2}^\pi (1-\cos(2x))\,\mathrm dx \\\\ =\frac{81\pi}2 \left(x-\frac{\sin(2x)}2\right)\bigg|_{\pi/2}^\pi \\\\ = \frac{81\pi}2 \left( \left(\pi-\frac{\sin(2\pi)}2\right) - \left(\frac\pi2 - \frac{\sin(\pi)}2\right) \right) \\\\ = \boxed{\frac{81\pi^2}4}

8 0
3 years ago
Below is a scale drawing of a stage that Syla is designing. A rectangle with length 8 centimeters and width 5 centimeters. Using
serious [3.7K]

Answer:

<h3>50m</h3>

Step-by-step explanation:

Given the dimension

Length of the rectangle = 8cm

Width = 5cm

Note that when the scale was 1:7, syla multiplied the width by a factor of 7 i.e 5*7 = 35m

If syla changes the the scale to 1 cm : 10 m for the rectangle, then the width of the shorter side will be multiplied by a factor of 10 due to the change in scale i.e;

5 * 10 = 50m

Hence the width of the new stage will be 50 m

6 0
3 years ago
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