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2 years ago

Find the value of x .. assume that segments that appear to be tangent are tangent .

Mathematics

1 answer:

Rus_ich [418]2 years ago

6 0

Answer:

sqrt(277) =x

x is approximately 16.64331698

Step-by-step explanation:

This is a right triangle since 14 is tangent to the circle and 9 is a radius

We can use the Pythagorean theorem to solve this problem

a^2 +b^2 =c^2

9^2+14^2 =x^2

81+196 = x^2

277 = x^2

Taking the square root of each side

sqrt(277) = sqrt(x^2)

sqrt(277) =x

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Find the area of the trapezoid.

Usimov [2.4K]

Answer:

$\large\boxed{A=54\ m^2}$

Step-by-step explanation:

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdor h$

b₁, b₂ - bases

h - height

We must use the Pythagorean theorem:

$x^2+8^2=10^2$

$x^2+64=100$ subtract 64 from both sides

$x^2=36\to x=\sqrt{36}\\\\x=6\ m$

We have b₁ = 6 + 6 = 12m, b₂ = 6m and h = 8m.

Substitute:

$A=\dfrac{12+6}{2}\cdot6=\dfrac{18}{2}\cdot6=(9)(6)=54\ m^2$

4 0

3 years ago

Which of the following is an arithmetic sequence? A. 3, 5, 8, 13, 21 B. 6, 13, 19, 32, 51 C. 1, 4, 5, 9, 14 D. 3, 6, 9, 12, 15

Katen [24]

D. Is the correct answer each number went up by 3

3 0

3 years ago

Read 2 more answers

a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

spin [16.1K]

Answer:

$\huge\boxed{7.79 \ \text{feet}}$

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

| \

x | \ 9

| \

|_____\

4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that $a^2+b^2=c^2$ , where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

$a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79$

Hope this helped!

7 0

2 years ago

Marneshia walked three over eight of a mile in three over five of an hour. What equation can be used to calculate her unit rate

Rama09 [41]

3/8 mile in 3/5 hour
$\frac{ \frac{3}{8} }{ \frac{3}{5} }$
we want to find miles per hour or m/1h
convert 3/5 to 1 by multiplying it by 5/3
keep the fraction the same by multiply ing the whole thing by
$\frac{ \frac{5}{3} }{ \frac{5}{3} }$ to get

$\frac{ \frac{15}{24} }{ \frac{15}{15} }$ =
$\frac{ \frac{5}{8} }{ 1}$ =5/8 miles per hour

7 0

3 years ago

Which expression is equivalent to |8|+|-7|

maks197457 [2]

Answer:

8 + 7.

Step-by-step explanation: It is absolute value.

3 0

1 year ago