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vladimir2022 [97]
3 years ago
13

HELPPPPPPP ME PLEASEE

Mathematics
2 answers:
Tcecarenko [31]3 years ago
7 0

Answer:

45

Step-by-step explanation:

180 - 135= 45

Svetlanka [38]3 years ago
5 0

Answer:

Step-by-step explanation:

Since they are consecutive angles

You would subtract 180 from 135 to get 45 Measure 2 is 45

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) Turner helped his grandfather build a raised garden bed for Turner's grandmother. The
worty [1.4K]

The length of the garden bed is 6 feet

<h3>The volume of a rectangular prism</h3>

The formula for calculating the volume of a rectangular prism is expressed as:

V = lwh

If turner and his grandfather used 18 bags of topsoil, each containing 3/4 of a cubic foot, to fill the bed completely, hence;

V = 3/4 * 18

V = 13.5 cubic foot

In order to determine the length of the garden;

135/10 = 9/2 * 1/2l

27/2 =9/4 l

18l = 27 * 4

18l = 108

l = 6 feet

Hence the length of the garden bed is 6 feet

Learn more on volume of rectangular prism here: brainly.com/question/24284033

5 0
2 years ago
Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x
BaLLatris [955]

Answer:

The area of the region is 25,351 units^2.

Step-by-step explanation:

The Fundamental Theorem of Calculus:<em> if </em>f<em> is a continuous function on </em>[a,b]<em>, then</em>

                                   \int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) |  {_a^b}

where F is an antiderivative of f.

A function F is an antiderivative of the function f if

                                                    F^{'}(x)=f(x)

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x + 15 and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx

\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx

\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2

3 0
3 years ago
A population of 60 rabbits increases by 25% each year for 8 years. Find the population the end of each year
MrRa [10]

Answer & Step-by-step explanation:

It increased by 10 each year

Year 1 of 8: 70

Year 2 of 8: 80

Year 3 of 8: 90

Year 4 of 8: 100

Year 5 of 8: 110

Year 6 of 8: 120

Year 7 of 8: 130

Year 8 of 8 (Final Year): 140

-----------------------------------------------------------------

<u><em>Hope this helps!!! :)</em></u>

3 0
3 years ago
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Mars2501 [29]
A preschool uses sixty four ounces in one day.
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Gcf (greatest common factor) of 9ab and 16bc
maw [93]
the greatest common factor is 1
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