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rewona [7]
3 years ago
13

All sides of quadrilateral ABCD are tangent to circle P.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0

Answer:

44.4 units

Step-by-step explanation:

Recall: 2 tangents drawn from an external point from a circle are congruent

Perimeter of the quadrilateral = AB + BC + CD + AD

AB = 3.1 + 8 = 11.1

BC = 3.1 + 8 = 11.1

CD = 11.1 (given)

AD = 8 + 3.1 = 11.1

Perimeter = 11.1 + 11.1 + 11.1 + 11.1

= 44.4 units

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Instructions: Find the lengths of the other two sides of the isosceles right triangle below.
Alexandra [31]

Given:

The ratio of 45-45-90 triangle is x:x:x\sqrt{2}.

The hypotenuse of the given isosceles right triangle is 7\sqrt{2}.

To find:

The lengths of the other two sides of the given isosceles right triangle.

Solution:

Let l be the lengths of the other two sides of the given isosceles right triangle.

From the given information if is clear that he ratio of equal side and hypotenuse is x:x\sqrt{2}. So,

\dfrac{x}{x\sqrt{2}}=\dfrac{l}{7\sqrt{2}}

\dfrac{1}{\sqrt{2}}=\dfrac{l}{7\sqrt{2}}

\dfrac{7\sqrt{2}}{\sqrt{2}}=l

7=l

Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.

6 0
3 years ago
What is the area of a rectangle with a base of 10 inches and an altitude of 12 inches?
WARRIOR [948]
First your gonna take the inches (10) and multiply that by the altitude (12) and that’s the area
AREA: multiply
7 0
3 years ago
You borrowed 43,800 at a SIMPLE interest rate of 4.8%. If you pay it back in 2 years, how much
Naddik [55]

Answer:

I = $4204.8

Step-by-step explanation:

Given that,

Principal, P = $43,800

Interest rate = 4.8%

Rate = 2 years

We need to find the interest that is paid back. We know that, simple interest is given by :

I=\dfrac{PRT}{100}

Put all the values,

I=\dfrac{43800\times 4.8\times 2}{100}\\\\=\$4204.8

So, the required interest is equal to $4204.8 .

3 0
2 years ago
Can someone help me with this problem pleaseeee :(
Andrej [43]

Answer:

2/7

Step-by-step explanation:

6 large fish and 8 small fish (half of the them are red = 4)

total fish 6 + 8 = 14 fishes

probability that one fish is one small and red fish is

there are 4 small and red fish

= 4c1 / 14c1

= (4! / (1! (4 - 1)! )  /  (14! / (1! (14-1)! )

= 4/14

= 2/7

6 0
3 years ago
a store pays $150 for a portable basketball backboard and the markup is 40%.what is the selling price?
Mice21 [21]
150*40/100=60
60+150=210.
7 0
3 years ago
Read 2 more answers
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