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Alecsey [184]
2 years ago
14

26. Figure B is the image of Figure A.

Mathematics
1 answer:
sweet [91]2 years ago
5 0

The scale factor of dilation is \LARGE \frac{1}{4}.

<h3>What is scale factor?</h3>

When describing an enlargement you must state by how much the shape has been enlarged or reduced.

Area of triangle B =\frac{1}{2} * b *h

                                = 0.5 x 2 x 3

                               = 3 units

Area of triangle A =\frac{1}{2} * b *h

                                = 0.5 x 4 x 6

                               = 12 units

Scale factor =\frac{Area of \; triangle B}{Area of\; triangle A}

                    =\frac{3}{12}

                    = \frac{1}{4}

Hence, the scale factor of dilation is \LARGE \frac{1}{4}.

Learn more about scale factor here:

brainly.com/question/22312172

#SPJ1

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SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin
laila [671]

34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

Standard deviation (σ) = 90

<u>Empirical rule to determine the percent:</u>

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$Z(X)=\frac{x-\mu}{\sigma}

$Z(433)=\frac{433-\ 433}{90}=0

$Z(523)=\frac{523-\ 433}{90}=1

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

i. e. ((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%

Here μ to μ + σ = \frac{68\%}{2} =34\%

Hence 34% of the scores lie between 433 and 523.

8 0
3 years ago
The ratio between the length and the breadth of the park is 3:2. if a man cycling along the boundary of the park at the speed 12
Ilia_Sergeevich [38]
D is answer.
Perimeter is 2x +3x +2x + 3x = 10x where x is unknown factor of distance.
So P = 10x
Velocity is 12 km/hr = .2 km/min
P =1.6 Km = 10x
x= .16 Km 3x = .48 km, 2x=.32 km
Area = .48 X .32 Km^2
= 153600 m^2
4 0
3 years ago
Read 2 more answers
5,000 is 1/10 of blank
Olin [163]

Answer:

blank = 50,000

Step-by-step explanation:

6 0
3 years ago
3y - 5z = -23
leonid [27]
Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.
8 0
3 years ago
Does anyone have a word problem idea for this equation 1.25x = 0.75x + 50
PSYCHO15rus [73]

Answer: Keke, do you love me? Are your riding?



Idk either.


Tips: make it something about money, and the k should stand for kittens

5 0
3 years ago
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