24.8 cm ÷ 175= 0.141... or 0.14 cm.
The answer is 0.14 cm
Answer:
We need to find the circumference, and in order to find the circumference we must know the formula for it.
Formula for circumference of a circle;
a = 2πr
Where π is the pi(3.14 or 22/7), and r is the radius which is half of the diameter.
Since we are given the diameter, we need to find the radius. So 1/2 of the diameter (26 x 1/2) = is 13
Now we just plug in the actual values in the formula:
a = 2πr
a = 2 x 3.14 x 13
a = <u>18.84 feet</u>
But now, we need to find how many revolutions it would take to get to 500 feet.
So we divide 500 feet by 18.84 feet;
500/18.84 = 26.53, around 27 revolutions.
3/6
because 6 divided by 2 = 3
and
12 divided by 2 = 6
Answers:
x = 5
m∠C = m∠H = 38 degrees
WORKINGS
Given that ABCD ≅ FGHJ
We know that corresponding angles of two congruent
quadrilaterals are equal
Therefore,
m∠A = m∠F
m∠B = m∠G
m∠C = m∠H
m∠D = m∠I
Given,
m∠C = 9x – 7
m∠H = 5x + 13
Since m∠C = m∠H
9x – 7 = 5x + 13
Add 7 to both sides of the equation
9x – 7 + 7 = 5x + 13 + 7
9x = 5x + 20
Subtract 5x from both sides of the equation
9x – 5x = 5x – 5x + 20
4x = 20
Divide both sides of the equation by 4
4x/4 = 20/4
x = 5
To determine the measures of angle C and angle H
m∠C = m∠H
We know that m∠C = 9x – 7
Since x = 5
m∠C = 9(5) – 7
m∠C = 45 – 7
m∠C = 38
Therefore, m∠C = m∠H = 38 degrees
Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house
Let 'C' be the point of observation.
Given CA= 16 ft
From right angle triangle
x = 16 × cos 68°
x = 16 × 0.4067
x = 6.5077
x = 6.5 ft
The length of the ladder = 6.5 ft