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galina1969 [7]
2 years ago
14

Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. T

he length of A A prime is 16. What is the scale factor of the dilation of line segment BA?
Mathematics
1 answer:
saw5 [17]2 years ago
8 0

Answer:

Step-by-step explanation:

Given

See attachment for figure

CA = 4

CA' = 16

Required

The scale factor (k)

Since point C is the center of dilation, the scale factor (k) is calculated using:

k = \frac{CA + CA'}{CA}

So, we have:

k = \frac{4+16}{4}

k = \frac{20}{4}

k = 5

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aivan3 [116]

Answer:

0.089

Step-by-step explanation:

f(x) = -ln(x) and g(x) = x²

Start by graphing the region.  The two curves intersect at about (0.653, 0.426), with g(x) on the left and f(x) on the right.  The region is the triangular area between the curves and above the x-axis.

If we were to cut the region horizontally (perpendicular to the y-axis), the resulting line is the width of the square cross section.  The thickness of this square is dy.  So the volume of the square is:

dV = A dy

dV = s² dy

dV = (x₂ − x₁)² dy

dV = (e⁻ʸ − √y)² dy

The total volume is the sum of all the squares from y=0 to y=0.426.

V = ∫ dV

V = ∫₀⁰'⁴²⁶ (e⁻ʸ − √y)² dy

Evaluate with a calculator:

V ≈ 0.089

3 0
3 years ago
In 2010, the General Social Survey asked respondents if they agreed/disagreed with the statement, "Private Enterprise will solve
Lapatulllka [165]

Answer:

The statement makes conclusions about the proportion of citizens of the United States of America with respect to a particular opinion. These conclusions or inferences are obtained from the statistical analysis of a sample of said citizens, assuming a probabilistic distribution for the variable of interest (proportion). This type of analysis is part of the interval estimation theme that is part of the statistical inference or mathematical statistics.

Step-by-step explanation:

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3 years ago
Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot with sides of lengths 119, 147,
stiks02 [169]

Answer:

$87,461

Step-by-step explanation:

Given that the dimensions or sides of lengths of the triangle are 119, 147, and 190 ft

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Using Heron's formula which gives the area in terms of the three sides of the triangle

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Therefore we have = √228 (228 - 119)(228 - 147)(228 - 190)

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3 years ago
Please help! i will give brainliest!
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