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3 years ago

2. Trapezoid WXYZ is located at W(2.1) X[3.

Mathematics

1 answer:

Nataliya [291]3 years ago

5 0

Point Y is (6, -1)

Subtract 6 from the y coordinate in point y since it is translated down. keep the x coordinate since it is only being translated up and down, or by the y axis

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PLEASE HELP WITH EASY MATH

Morgarella [4.7K]

The constant of proportionality is $1.5 per jar of sauce. Hope it help!

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3 years ago

Read 2 more answers

You measure 47 backpacks' weights, and find they have a mean weight of 79 ounces. Assume the population standard deviation is 13

ki77a [65]

Answer:

3.14

Step-by-step explanation:

Given that:

Mean weight (m) = 79 ounces

Population standard deviation (s) = 13.1

Sample size = 47

Maximal margin of error associated with 90% confidence interval.

The margin of error is given by:

Zcritical * (standard deviation / sqrt(sample size)

Z critical at 90% confidence interval = 1.645

Hence,

Zcritical * (standard deviation / sqrt(sample size)

1.645 * 13.1 / sqrt(47)

1.645 * (13.1 / 6.8556546)

1.645 * 1.9108313

Hence, the margin of error is :

3.1433174885

= 3.14

8 0

3 years ago

A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β (see the figure) so that the cone

Aneli [31]

I don't know where the angle β is, so I will make the assumption that tanβ = h/r
$V = \frac{1}{3} \pi r^{2} h$

V volume = 60
r radius = 2
h = r tanβ

$tan \beta = \frac{3V }{ \pi r^{3} } = \frac{ 180}{25,1} = 7,17 \\ \\ \beta = 82$

7 0

3 years ago

F(x) = 3x2 - 11<br> Find f(-5)

Over [174]

F(x)=3x2-11
f(5)=6-11
5f=-5
5f/5=-5/5
f=-1

6 0

3 years ago

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14mm. Find the area of the shaded regio

Damm [24]

Image is missing, so i have attached it

Answer:

21.07 mm²

Step-by-step explanation:

We will use the Formulas:

Area of semicircle = πr²/2

Area_rectangle = Length x width = Lw

We are given:

Length of rectangle = 14 mm

From the attached image, the diameter of the semicircle is equal to the length of the rectangle.

Thus;

diameter of semicircle = length of rectangle

Therefore,

diameter of semicircle = 14 mm

Also, from the attached image, the radius of the semicircle is equal to the width of the rectangle.

Thus;

diameter of semicircle/2 = radius of semicircle

Hence;

radius of semicircle = 14/2 = 7mm = width of rectangle

Thus;

Area of rectangle = L*w = 14 × 7 = 98 mm²

Area of semicircle = πr²/2 = π×7²/2 = 76.93 mm²

To get the area of the shaded region, we will subtract area of the semi-circle from the area of the rectangle.

Area of shaded region = Area_rectangle - Area_semicircle = 98 - 76.93 = 21.07 mm²

7 0

3 years ago