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2 years ago

The area of a circular garden is 4,225 T square feet. Rick wants to find the diameter of the garden. What is the diameter of

Mathematics

1 answer:

ankoles [38]2 years ago

5 0

Answer:

D. 130 feet

Step-by-step explanation:

The area of a circular garden is 4,225 π square feet

The area of a circle is computed as follows:

Area of a circle = π*D²/4

where D refers to the diameter

Replacing with data:

4,225 π = π*D²/4

4,225 π/π *4 = D²

√16900 = D

130 ft = D

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Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

2 years ago

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djverab [1.8K]

Answer:

250 ml= 1 pancake

1000 ml=4 pancakes

Step-by-step explanation:

$\frac{1}{4} of 1000 = 250$

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3 years ago

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mamaluj [8]

Answer:

Step-by-step explanation:

13x2=26

14x3=42

Greatest common Factor of 26 and 42 is 2

8 0

2 years ago

Conversion. Write a reduced fraction notation for 0.56.

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Answer:

Reduced fraction: 14/25

Step-by-step explanation:

To write 0.56 in terms of fractions we need to multiply and divide the number by 100:

(0.56 * 100)/100 = 56/100. Then we simplify the fraction by dividing the numerator and denominator by the common factor 2 as many times as possible:

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Answer:

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