Answer: x^2 + 23x + 49
Step-by-step explanation:
The area of the shaded region is the area of the big rectangle minus the square
area of rectangle
area = bh
b = 2x + 5
h = x + 10
area = (2x+5)(x+10) FOIL
= 2x^2 + 20x + 5x + 50
= 2x^2 + 25x + 50
area of square
area = s * s
s = x + 1
area = (x+1)(x+1) FOIL
= x^2 + x + x + 1
= x^2 + 2x + 1
area of shaded region
now subtract rectangle - square
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
= 2x^2 + 25x + 50 - x^2 - 2x - 1 combine like terms
= x^2 + 23x + 49
Answer:
(x² + 23x + 49) units²
Step-by-step explanation:
(x + 10)(2x + 5) - (x + 1)²
(2x² + 20x + 5x + 50) - (x² + 2x + 1)
2x² + 25x + 50 - x² - 2x - 1
x² + 23x + 49
Step-by-step explanation:
The cosine of U is equal to the adjacent side divided by the hypotenuse.
cos(U) = 28/53
You can simplify it from there.
Answer: The possible side lengths are either 16 inches or 20 inches
Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.
If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;
Volume = L x W x H
Knowing that all three dimensions are the same the formula can be re-written as;
Volume = L³
4096 = L³
Add the cube root sign to both sides of the equation
∛4096 = ∛L³
16 = L
Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;
Volume = L³
8000 = L³
Add the cube root sign to both sides of the equation
∛8000 = ∛L³
20 = L
Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches
B. You made a profit of $705.00.
C. You suffered a loss of $630.00.
D. You made a profit of $75.00.
Answer:
About 11494.04
Step-by-step explanation:
There is no sphere shown above but I can still get you the answer:
The formula for the volume of a sphere is π*r³
Putting in the radius, we get:
*π*14³=
*π*2744=
*π=
3658.66*π≈11494.04
The angle supplementary to the angle 39° Mabel measured is C. 129°.
When the sum of the two angles is 180° they are said to be supplementary.
When the sum of the two angles is 90° they are said to be complementary.
Given, Mabel measured an angle on her math worksheet with her protractor. The angle measured 39°.
Therefore, The angle supplementary to the angle she measured is,
= (180 - 39)°.
= 129°, As the sum if the sum of two angles are supplementary their sum is
180°.
learn more about supplementary angles here :
#SPJ2
Answer:
x-intercept = 16/1 = 16.00000
y-intercept = 16/-2 = 8/-1 = -8.00000
Step-by-step explanation: