Simplify 5^-2 x 5^5 x 5

saveliy_v [14]

Answer:

Answer is 330

Step-by-step explanation:

$area \: of \: shaded \: region \: = \pi {r}^{2} - \pi( {x}^{2} \\ here \: r = 11 \: cm \: and \: x = 4 \: cm \\ area \: of \: a \\ shaded \: regoin \: = \pi( {r}^{2} - {x}^{2} ) \\ = \pi( {11}^{2} - {4}^{2} ) \\ = \pi(121 - 16) \\ = \pi(105) \\ = \frac{22}{7} \times 105 \\ = 22 \times 15 \\ = 330 \: {cm}^{2}$

AREA OF SHADED REGION =330

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5 0

2 years ago

Give an example of a point that is the same distance from (3, 0) as it is from (7, 0). Find lots of examples. Describe the confi

Artist 52 [7]

Supposse that the distance from the point $(x,y)$ to the point $(3,0)$ is equal to the distance from $(x,y)$ to the point $(7,0)$ . Then, by the formula of the distnace we must have

$\sqrt{(x-3)^2 + (y-0)^2}=\sqrt{(x-7)^2 + (y-0)^2}$

cancel the square root and the $(y-0)^2$ 's, and then expand the parenthesis to obtain

$x^2 - 6x + 9 = x^2 - 14x + 49$

then, simplifying we obtain

$8x = 40$

therfore we must have

$x=5$

this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points: $(5,0), (5,7),(5,1/2), (5,-10),...$ . The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.

3 0

2 years ago

What is the gradient of the graph shown? Give your answer in its simplest form.

AlekseyPX

Answer:

m = —1/3

Step-by-step explanation:

There are two clear points shown on the graph

point 1: (0;3)

point 2: (6;1)

$m = \frac{y2 - y1}{x2 - x1}$

$m = \frac{1 - 3}{6 - 0}$

$m = - \frac{2}{6}$

$m = - \frac{1}{3}$

5 0

2 years ago

Read 2 more answers

at one scholl at prep level there were 5 set of twins,two sets of triplets and one set of quadruplets starting school this year.

katen-ka-za [31]

Answer: Fraction of twins = $\frac{5}{8}$ Fractions of triplets = $\frac{1}{4}$ Fractions of quadruplets = $\frac{1}{8}$

Step-by-step explanation:

Since we have given that

Number of set of twins = 5

Number of sets of triplets = 2

Number of sets of quadruplets = 1

Total number of sets is given by

$5+2+1=8$

Now, we need to find the fraction of those students.

So, Fraction of twins is given by

$\frac{5}{8}$

Fractions of triplets is given by

$\frac{2}{8}=\frac{1}{4}$

Fractions of quadruplets is given by

$\frac{1}{8}$

3 0

3 years ago

A ball is thrown into the air with an upward

inn [45]

To find the 'maximum height' we will need to take the derivative of h(t) = –16t² + 32t + 6 then set it equal to zero, then solve for t. this t will be the time at which the ball reaches it's maximum height.

5 0

3 years ago