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3 years ago

The rule is applied to ΔFGH to produce ΔF"G"H".

Mathematics

2 answers:

Dahasolnce [82]3 years ago

6 0

Answer:

(4,-1.5)

Step-by-step explanation:

Tanya [424]3 years ago

3 0

Answer:

(4, -1.5)

I know cuz I just took the test.

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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

3 years ago

The telephone company offers two billing plans for local calls. Plan 1 charges $29 per month for unlimited calls and Plan 2 char

PilotLPTM [1.2K]

Answer:

$79.20

Step-by-step explanation:

fixed charged of $19 x 4 months = $76.00

additional charged of $0.04 x 20 = $0.80 x 4 months = $3.20

Therefore, $76.00 + $3.20 = $79.20

8 0

3 years ago

The skateboard ramp has a width of 20 and a height of 16. What is its slope ( not to scale) ?

slega [8]

Answer:

25.61 ?

Step-by-step explanation:

use Pythagoreans theorem

a^2+b^2=c^2

20^2+16^2=656

sqrt 656=25.61

4 0

2 years ago

The width of a rectangular table is 2.3 feet less than its length. If the area of the table is 9.5 square feet, find its dimens

stellarik [79]

Answer: Width = 12 feet

length = 9 feet

8 0

3 years ago

Multiple Choice Evaluate. 1. -59 - 6 for g=-2 (1 point) A.4 B.16 C.10 D.-13

Sergeeva-Olga [200]

Answer: A. 4

Im in high school this is simple math so. Your welcome

4 0

3 years ago

Read 2 more answers