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2 years ago

3

Use the interactive tool and proportional reasoning to find the new dimensions of the enlarged figure using a scale factor of 4.

The new dimensions are:
9 by 10
16 by 24
5 by 24
20 by 6

1 answer:

Mazyrski [523]2 years ago

7 0

Answer:

The answer is 16 by 24

Step-by-step explanation:

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Silva set up a dog-walking business. He earned $60 in June. He is projected to earn 110% more in July. How much is Silva project

snow_lady [41]

9514 1404 393

Answer:

$126

Step-by-step explanation:

110% more than 100% is 210% of his June earnings:

july = 2.10×$60 = $126

Silva is projected to make $126 in July.

_____

As always, you can think of % and /100 as being interchangeable.

210% = 210/100 = 2.10

7 0

2 years ago

A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random

Harlamova29_29 [7]

Answer with explanation:

Given : Sample mean = $\overline{x}=\text{48.47 pounds}$

Standard deviation : $\sigma=\text{ 3.1 pounds.}$

Sample size : n = 36

Claim : $\mu\neq50$

∴ $H_0:\mu=50$

$H_1:\mu\neq50$

Since the alternative hypothesis is two tail , then the test is two tail test.

By using a z statistic and a 0.05 level of significance. Reject $H_0$ if z < -1.960 or is z> 1.960.

Then , the test static for population mean is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z=\dfrac{48.47-50}{\dfrac{3.1}{\sqrt{36}}}\approx-2.96$

We reject $H_0$ since $-2.96\leq -1.96$ . We have statistically significant evidence at $\alpha=0.05$ to show that the mean amount of garbage per bin is not different from 50.

5 0

2 years ago

In the diagram shown of circle A, tangent MB is drawn along with chords BAC and BF . Secant MFE intersects BAC at G. It is known

mote1985 [20]

Answer:

arc BF = 76°
∠M = 31°
∠BGE = 121°
∠MFB = 111°

Step-by-step explanation:

(a) ∠FBM is the complement of ∠FBC, so is ...

∠FBM = 90° -52° = 38°

The measure of arc BF is twice this angle, so is ...

arc BF = 2∠FBM = 2(38°)

arc BF = 76°

__

(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...

∠M = (1/2)(138° -76°) = 62°/2

∠M = 31°

__

(c) arc FC is the supplement to arc BF, so has measure ...

arc FC = 180° -arc BF = 180° -76° = 104°

∠BGE is half the sum of arcs BE and FC, so is ...

∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2

∠BGE = 121°

__

(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...

∠MFB = 180° -∠M -∠FBM = 180° -31° -38°

∠MFB = 111°

3 0

2 years ago

Evaluate 4(a2 + 2b) - 2b

iogann1982 [59]

<span>4(a^2 + 2b) - 2b
= 4a^2 + 8b - 2b
=</span> 4a^2 + 6b

5 0

2 years ago

Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply. 1.The slope of one boundary line i

zloy xaker [14]

Answer:

2.Both boundary lines are solid.

3.A solution to the system is (1, 3)

5.The boundary lines intersect.

Step-by-step explanation:

we have

$y\leq 3x+1$ ----> inequality A

The solution of the inequality A is the shaded area below the solid line $y=3x+1$

The slope of the solid line is 3

The point (1,3) is a solution of inequality A (lie in the shaded area of the solution set)

$y\geq -x+2$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line $y=-x+2$

The slope of the solid line is -1

The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)

The solution of the system of inequalities is the shaded area between the two solids lines

see the attached figure

<u><em>Verify each statement</em></u>

1.The slope of one boundary line is 2

The statement is False

2.Both boundary lines are solid.

The statement is True

3.A solution to the system is (1, 3)

The statement is True

4.Both inequalities are shaded below the boundary lines

The statement is False

5.The boundary lines intersect.

The statement is True

The intersection point is (0.25,1.75)

see the attached figure

7 0

2 years ago

Read 2 more answers