Answer:
396 cubic centimeters
Step-by-step explanation:
Given that
The dimension of the base is 4 centimeter by 9 centimeter and the height is 11 centimeter
We need to find out the volume of the right rectangular prism
We need to apply the following formula
As we know that
Volume = lwh
here
l denotes the length
w denotes the width
And, h denotes the height
= (4) (9) (11)
= 396 cubic centimeters
Answer:
Step-by-step explanation:
The idea here is to find the value for x and y, then add them together. See the pic I attached below. We will solve for side x first.
Side s is across from the reference angle of 48 degrees; side measuring 50 m is adjacent to the reference angle 48 degrees. Therefore, we will use the tangent ratio to solve for x:
and
50tan(48) = x so
x = 55.53m
Now we will do the same and solve for y. This time the reference angle is 28 degrees. Side y is opposite the reference angle and the side measuring 50 is adjacent to the reference angle, so we will use the tangent ratio again:
and
50tan(28) = y so
y = 26.59. Therefore,
x + y = 55.53 + 26.59 and
the height of the taller building is
82.1 m
Answer:
A) x - 4
B) x² - 4x
C) x³ - 2x² - 8x
D) 2x³ + 3x² - 32x + 15
Step-by-step explanation:
A)
x-intercepts: x = 4
Factors:
(x - 4)
B)
x-intercepts: x = 4, 0
Factor:
(x - 0)(x - 4)
x² - 4x
C)
x-intercepts: x = 4, 0, -2
Factor:
(x - 0)(x - 4)(x + 2)
(x² - 4x)(x + 2)
x³ - 4x² + 2x² - 8x
x³ - 2x² - 8x
D)
x-intercepts: x = 3, ½, -5
Factor:
(x - 3)(2x - 1)(x + 5)
(2x² - 6x - x + 3)(x + 5)
(2x² - 7x + 3)(x + 5)
2x³ - 7x² + 3x + 10x² - 35x + 15
2x³ + 3x² - 32x + 15
Answer:
Common denominator of 2 and 5 if you want to add or subtract two fractions with 2 and 5 as denominators.
Step-by-step explanation:
Step 1) Take the LCD and divide each denominator by it as follows:
10/2 = 5
10/5 = 2
Step 2) Multiply each nominator with the respective answers from Step 1:
3 x 5 = 15
2 x 2 = 4
Step 3) Put it all together to solve the problem:
15/10 + 4/10 = 19/10
= 3/2 + 2/5 = 19/10
=10
Answer:
1/12
Step-by-step explanation:
1/4 - 1/6
= 1/12