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Natasha_Volkova [10]
3 years ago
13

Find the missing length indicated​

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

Answer:

x = 135

Step-by-step explanation:

The three triangles are similar.

144/y = y/81

y^2 = 144 * 81

y = 12 * 9

y = 108

81^ + 108^2 = x^2

x^2 = 18225

x = 135

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Solve for the unknown in the following diagram. Round the answer to two decimal places.<br>in<br>​
Alexxandr [17]

Answer:

172.27 in

Step-by-step explanation:

Apply the Sine Rule

Sine Rule is given as:

\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}

c = x = ?

C = 180 - (52 + 48) = 80° (sum of triangle)

b = 130 in.

B = 48°

Plug in the values

\frac{130}{sin(48)} = \frac{x}{sin(80)}

Multiply both sides by sin(80)

\frac{130*sin(80)}{sin(48)} = x

172.274641 = x

x = 172.27 in. (to 2 decimal places)

4 0
2 years ago
On your family trip, you used 14 gallons of gas.
Alecsey [184]

Answer:

19

Step-by-step explanation:

To get the total miles you drove first, you need to do 84947 (number after the trip) - 84679 (the number before it. You get 268.

Next you need to find out how many miles per gallon. 268/14 which will equal to 19.142, which you can round to 19.

4 0
3 years ago
The sum of three numbers is 121 The third number is 3 times the second. The first number is 6 times the second. The first number
Mama L [17]

Answer:

The first number is

72.6

Step-by-step explanation:

Let second number be x.

First number= 6x

Third number= 3x

According to question,

6x+x+3x=121

or, 10x=121

or,x=121/10=12.1

First number= 6x=6×12.1=72.6

Third number=3x=3×12.1=36.3

3 0
2 years ago
Read 2 more answers
Your deposit $1000 in an account that earns 2.5% annual interest. Find the balance after 2 years if the interest compounds with
BaLLatris [955]

Answer:

34%

Step-by-step explanation:

3+3+3+3+3+3+3+35%

8 0
2 years ago
Find the volume of the cylinder
AleksandrR [38]

The volume of the cylinder in terms of π is 18,095.5736 square yards,

the volume of the cylinder by using π equals 3.14 is 18.086.4 square yards.

Step-by-step explanation:

Step 1; The volume of any cylinder is given by π times the product of the square of the radius (r²) and the height (h). The given cylinder has a radius of 12 yards and a height of 40 yards.

The volume of any cylinder = π × r² × h.

Step 2; The value of π equals 3.14159263588. So substituting this value in the equation to calculate the volume we get

The volume of the given cylinder = 3.14159263588 × 12² × 40 = 18,095.5736 square yards.

Step 3; If we substitute the value of π as 3.14 in the equation to calculate the volume, we get

The volume of the given cylinder = 3.14 × 12² × 40 = 18.086.4 square yards.

6 0
3 years ago
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