Answer:
8 out of 24y + 88z.
8 (3y + 11z)
Step-by-step explanation:
<u>Brainliest Please!!!!</u>
The correct answer is: Option (B) m∠a = 38°, m∠b = 52°, m∠c = 90°
Explanation:
Given measure of each angle:
m∠a = (48-x)°
m∠b = (9x-38)°
m∠c = 90°
Now, as you can see, that one angle, m∠C, of the triangle ABC is 90°; therefore, we can infer that it is a right-angled triangle.
For right-angled triangle, the sum of all the angles is 180°. We can write it mathematically as:
m∠a + m∠b + m∠c = 180° --- (1)
Plug in all the measure of angles in equation (1):
(1)=> (48-x)° + (9x-38)° + 90° = 180°
Solve to find the value of x:
8x + 100° = 180°
8x = 80°
x = 10°
Now put the value of x in all individual angles to find m∠a, m∠b, and m∠c.
m∠a = (48-10)° = 38°
m∠b = (9*10-38)° = 52°
m∠c = 90°
Hence the correct answer is Option (B).
The value of x is 2x+38=90
The answer is x=26
Answer:
Step-by-step explanation: To divide by a decimal, multiply the divisor by a power of ten to make the divisor a whole number. Then multiply the dividend by the same power of ten. You can think of this as moving the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor.
Answer:
12709 balls
Step-by-step explanation:
Given
Dimension of Room = 15 ft by 20 ft by 10 ft
Diameter of Ball = 9.2 inches
Required
Determine the number of balls that can be occupied by the room
First, we need to calculate the volume of the room
This is done by multiplying the dimensions of the room
Next, we calculate the volume of the ball.
The ball is a sphere.
So:
Where
So:
To calculate the number of balls, we then divide the volume of the room by volume of a ball
Convert ft^3 to in^3
<em>-- approximated</em>
<em>Hence, the room will contain 12709 balls</em>
