All categories

2 years ago

Draw the image when ABCD is translated along 1-4, 6).

Mathematics

1 answer:

mario62 [17]2 years ago

8 0

Answer:

(9,4)

Step-by-step explanation:

your welome

You might be interested in

The measure of the arc BC is __.

andre [41]

The measure of AD = 120 degrees

The measure of arc BC is 40 degrees. If you want the length, it's (2pi/9)(radius)

4 0

4 years ago

Read 2 more answers

A conical pile of road salt has a diameter of 112 feet and a slant height of 65 feet. After a storm, the linear dimensions of th

QveST [7]

we know that

the volume of a cone is equal to

$V= \frac{1}{3} \pi r^{2}h$

in this problem

the radius is equal to

$r= \frac{112}{2}= 56ft$

1) Find the height of the cone before the storm

Applying the Pythagorean Theorem find the height

$h^{2} = l^{2}-r^{2}$

$l=65 ft$

$h^{2} = 65^{2}-56^{2}$

$h^{2} = 1,089$

$h=33 ft$

2) Find the volume before the storm

$V= \frac{1}{3}*\pi* 56^{2}*33$

$V=34,496\pi\ ft^{3}$

3) Find the volume after the storm

After a storm, the linear dimensions of the pile are 1/3 of the original dimensions

r=(56/3) ft

h=(33/3)=11 ft

$V= \frac{1}{3}*\pi* (56/3)^{2}*11$

$V= 1,277.63\pi\ ft^{3}$

4) Find how this change affect the volume of the pile

Divide the volume after the storm by the volume before the storm

$\frac{1,277.63 \pi }{34,496 \pi } = \frac{1}{27}$

therefore

the answer part a) is

The volume of the pile after the storm is $\frac{1}{27}$ times the original volume

Part b) Estimate the number of lane miles that were covered with salt

5) Find the amount of salt that was used during the storm

$=34,496 \pi - 1,277.63 \pi \\= 33.218.37 \pi \\= 104,358.59\ ft^{3}$

6) Find the pounds of road salt used

$104,358.59*80=8,348,687.2\ pounds$

7) Find the number of lane miles that were covered with salt

$8,348,687.2/350=23,853.39 \ lane\ miles$

therefore

the answer part b) is

the number of lane miles that were covered with salt is $23,853.39 \ lane\ miles$

Part c) How many lane miles can be covered with the remaining salt? Round your answer to the nearest lane mile

the remaining salt is equal to $1,277.63\pi\ ft^{3}$

$1,277.63\pi\ ft^{3}=4,013.79\ ft^{3}$

8) Find the pounds of road salt

$4,013.79*80=321,103.20\ pounds$

9) Find the number of lane miles

$321,103.20/350=917.44 \ lane\ miles$

therefore

the answer part c) is

the number of lane miles is $917 \ lane\ miles$

7 0

4 years ago

Which of the following is a linear function?

Black_prince [1.1K]

Answer:

Step-by-step explanation:

the only it has constant rate of change (slope, gradient or derivative at every point is equal)

6 0

3 years ago

Find the ratio of Rs.50 to 100 paise

inna [77]

Answer:

50:1

Step-by-step explanation:

Rs50=Rs50

100 paise= Rs1

Ratio = 50:1 [ cant be simplified further]

I hope im right!!

Another way:

Rs50= 50 x 100 = 5000 paise

100 paise= 100 paise

Ratio = 5000: 100

$\frac{5000}{100}$ ÷ $\frac{100}{100}$ = $\frac{50}{1}$

Ratio = 50:1

8 0

3 years ago

Can someone help me with this Khan Academy? I have a picture attached below.

Darina [25.2K]

Answer:

B, g(n) = 50*1.15^n

Step-by-step explanation:

It's a geometric sequence because the money is increasing by a percentage every year.

6 0

3 years ago

Draw the image when ABCD is translated along 1-4, 6).​

Draw the image when ABCD is translated along 1-4, 6).