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2 years ago

The lateral area of a cone is 558 ou cm ^2 . The radius is 31 cm. Find the slant height to the nearest

Mathematics

1 answer:

Kamila [148]2 years ago

3 0

Answer:

83.8 cm

Step-by-step explanation:

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Simplify:(y²+z²) -2yz

VMariaS [17]

Answer:

$(y-z)^{2}$

Step-by-step explanation:

$(y^{2}+z^{2} ) -2yz\\\\y^{2} +z^{2} - 2yz\\\\y^{2} +2yz + z^{2}\\\\(y-z)^2\\$

5 0

3 years ago

Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?. . A.a number line with

r-ruslan [8.4K]

We are given compound inequality 4p + 1 > −7 or 6p + 3 < 33.

Let us solve each of the inequality one by one.

4p + 1 > −7

Subtracting 1 from both sides, we get

4p + 1-1 > -7-1

4p > -8

Dividing both sides by 4, we get

p > -2. <em> (Shading right side for greater than sign)</em>

Solving 6p + 3 < 33.

Subtracting 3 from both sides, we get

6p + 3-3 < 33-3.

6p < 30

Dividing both sides by 6, we get

p < 5. <em> (Shading left for less than sign)</em>

<em>We have less than and greater than symbols in both inequalities, therefore we would have open circles(dots) on -2 and 5.</em>

And because we have "OR" composite inequality.

<em>So, we would take the combination of both shaded portion.</em>

<h3>Therefore, correct option is C.number line with shading everywhere.. </h3>

4 0

3 years ago

The area of Lake Erie is about 7.1538 times 10 to the power of 8 square miles. The area of the Indian Ocean is about 9.3214 time

andrew-mc [135]

Answer: Should be 7.6745982363164 times larger

3 0

3 years ago

Please help I’m really confused. I will give BRAINLIEST!

stiv31 [10]

Answer:

t = 115

s = 60

g(x) = 10/23x - 10

Step-by-step explanation:

find s first since its easy (it goes up by 10's)

then take a pair from the table that corresponds such as 69 for x and 30 for g(x) and turn them into a fraction:

69/30

do the same for t:

t/50

equal 69/30 to t/50 and solve using cross multiplication:

69/30 = t/50 =

30t = 3450

/30 /30

t = 115

honestly had a little hard time finding the equation but basically I simplified the fraction 30/69 to get 10/23 for slope and then I insert a corresponding x and y value into y= mx+b with the slope value to find b.

5 0

3 years ago

Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.

ivolga24 [154]

9514 1404 393

Answer:

-4

Step-by-step explanation:

The points at the ends of the interval are ...

(3, f(3)) = (3, 8)

(6, f(6)) = (6, -4)

The slope is given by the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (-4 -8)/(6 -3) = -12/3 = -4

The average rate of change is -4.

6 0

3 years ago