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3 years ago

Dorji thought of a number. He first multiplied the number by 3 and then subtracted 12

Mathematics

1 answer:

jeyben [28]3 years ago

6 0

Answer

The answer is 24

Step-by-step explanation

24 x 3 = 72
72 - 12 = 60
60/6 = 10
10 - 4 = 6

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A drawing of a tree and a wall are in the image below.

mina [271]

Answer:

Choice B. 16 feet.

The height of the tree is 16 ft

Step-by-step explanation:

Similar Triangles

Similar triangles have their corresponding side lengths proportional by a fixed scale factor.

We are given the drawings of a tree and a wall and it's assumed both triangles are similar. We need to find the scale factor and find the height of the tree.

Comparing the corresponding distances from the viewer to the base of the tree and the base of the wall, we can calculate the scale factor as 24/6=4.

Applying the same factor to the height of the model, we get the height of the tree is 4*4 = 16 ft.

Choice B. 16 feet

The height of the tree is 16 ft

6 0

3 years ago

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

2 years ago

I don't know how to do this math problem-

kifflom [539]

Answer:

cool thats nice

Step-by-step explanation:

8 0

3 years ago

Is 100 t-shirts for $428.00 proportional to 3,000 t-shirts for $12,180.00?

Aleks04 [339]

No 3,000 t-shirts are = to 12,840.

8 0

3 years ago

Randall’s family drove to the beach for vacation. They drove the same speed throughout the trip. The first day, they drove 130 m

nata0808 [166]

390 Miles per 6 Hours.

6 0

3 years ago

Read 2 more answers