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Helga [31]
3 years ago
15

I need help with this problem please ​

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Answer:

  (a) reduction

  (b) 1/2

Step-by-step explanation:

The image figure A'B'C'D' is smaller than the original figure ABCD, so the dilation is a <em>reduction</em>.

Each of the points A'B'C'D' is half as far from the origin as the original points ABCD, so the scale factor is 1/2.

_____

Draw lines C'C and D'D. You will see they meet at the origin, which is the center of dilation. Then look at how far the points are along those lines. C' is one grid square diagonal along the line; C is 2 grid square diagonals along that line, so is twice as far from the origin. That is, C' is 1/2 the distance of C, so represents a reduction by a scale factor of 1/2.

The same distance considerations are observed along the line D'D. The point D' is the diagonal of a 2x1 rectangle from the origin (A distance of √5.) The point D is the diagonal of a 4x2 rectangle from the origin, so is twice as far. Once again D' is 1/2 the distance of D, so represents a reduction by a factor of 1/2.

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What is the value of x in the equation
seraphim [82]
1/3 x - 1/2 = 18 1/2
1/3 x = 19 (add 1/2 on the right side to 18 1/2)
x = 57 (multiply the reciprocal of 1/3 and that will be 3/1 or 3 to 19 to get x by itself)
So, the answer is x = 57 (d. 57)
6 0
3 years ago
A gumball is approximately spherical and has a diameter of 1 inch. What is the approximate volume of the gumball? A gumball is a
KatRina [158]

The approximate volume of the spherical gumball is: C. 0.5236 in.³.

<h3>How to Determine the Volume of a Spherical Shape?</h3>

If a shape is spherical, it means it has a shape of a sphere. To determine the volume of the spherical shape, we would use the formula for the volume of a sphere, which is given as:

Volume of a sphere = 4/3 × π × r³, where r (radius of the sphere) is half of the diameter of the sphere.

Given the following parameters of the sphere as:

Diameter of sphere = 1 inch.

Radius (r) = 1/2(1) = 0.5 inch.

π = 3.14

To find the approximate volume of the spherical gumball, substitute the value of r into 4/3 × π × r³:

Volume of the spherical gumball = 4/3 × 3.14 × 0.5³

Volume of the spherical gumball = 4/3 × 3.14 × 0.125

Volume of the spherical gumball = (4 × 3.14 × 0.125)/3

Volume of the spherical gumball = (1.57)/3

Volume of the spherical gumball = 0.523 in.³

Therefore, we can conclude that the approximate volume of the spherical gumball is: C. 0.5236 in.³.

Learn more about volume of sphere on:

brainly.com/question/22807400

#SPJ1

5 0
1 year ago
Super hard question :0 what is 3+3
Julli [10]
Well sir according to my calculations if you have a 3 and than you add 3 to the 3 you already have then you would end up with the exact answer of number 6
5 0
2 years ago
A teacher plans to buy air fresheners that cost $3.50 each. If the teacher can spend no more than $10 on the air fresheners and
iris [78.8K]

Answer:

Step-by-step explanation:

We need to create an equation to represent how many air fresheners the teacher can buy.

Teacher has $10 and a $3 discount coupon which would give her an extra $3 to spend. Each air freshener is $3.50.

x = number of air fresheners

($10 + $3) / $3.50 = x        can be written as $13/$3.50 = x

We add $10 and $3 because that gives us the total amount she has to spend.

We divide by $3.50 because that is the cost of each air freshener. The result is the number of air fresheners she can buy.

In this case.

$13/$3.50 = x

3.71 = x   BUT we can't buy part of an air freshener, so she can purchase 3 air fresheners.

8 0
3 years ago
The function ​P(x)equals0.35xnegative 76 models the relationship between the number of pretzels x that a certain vendor sells an
r-ruslan [8.4K]

Answer:

P(X=700) =0.35*700 -76= 169

Step-by-step explanation:

For this case we have the following profit function:

P(X) = 0.35 X -76

And we are interested on find the profit after selling 700 pretzels, so we just need to replace X=700 into the profit function like this:

P(X=700) =0.35*700 -76= 169

The profit function is on the figure attached. We see that for 0<X<217 we have negative profits, and for X>217 we will have positive values for the profit. And also we can see that for X=700 we have a profit of approximately 169.

3 0
3 years ago
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