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inna [77]
3 years ago
10

NEED HELP ASAP!!

Mathematics
2 answers:
Kaylis [27]3 years ago
4 0

Answer:

20²+21² = x²

841= x²

x= 29

nearest tenth = 30

adelina 88 [10]3 years ago
4 0

Answer:

\boxed{x = 29}

Step-by-step explanation:

{x}^{2}  =  {21}^{2}  +  {20}^{2}  \\  {x}^{2}  = 841 \\ x =  \sqrt{841}  \\ x = 29

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Consider the region bounded by the curves y=|x^2+x-12|,x=-5,and x=5 and the x-axis
Tasya [4]
Ooh, fun

what I would do is to make it a piecewise function where the absolute value becomse 0

because if you graphed y=x^2+x-12, some part of the garph would be under the line
with y=|x^2+x-12|, that part under the line is flipped up

so we need to find that flipping point which is at y=0
solve x^2+x-12=0
(x-3)(x+4)=0
at x=-4 and x=3 are the flipping points

we have 2 functions, the regular and flipped one
the regular, we will call f(x), it is f(x)=x^2+x-12
the flipped one, we call g(x), it is g(x)=-(x^2+x-12) or -x^2-x+12
so we do the integeral of f(x) from x=5 to x=-4, plus the integral of g(x) from x=-4 to x=3, plus the integral of f(x) from x=3 to x=5


A.
\int\limits^{-5}_{-4} {x^2+x-12} \, dx + \int\limits^{-4}_3 {-x^2-x+12} \, dx + \int\limits^3_5 {x^2+x-12} \, dx

B.
sepearte the integrals
\int\limits^{-5}_{-4} {x^2+x-12} \, dx = [\frac{x^3}{3}+\frac{x^2}{2}-12x]^{-5}_{-4}=(\frac{-125}{3}+\frac{25}{2}+60)-(\frac{64}{3}+8+48)=\frac{23}{6}

next one
\int\limits^{-4}_3 {-x^2-x+12} \, dx=-1[\frac{x^3}{3}+\frac{x^2}{2}-12x]^{-4}_{3}=-1((-64/3)+8+48)-(9+(9/2)-36))=\frac{343}{6}

the last one you can do yourself, it is \frac{50}{3}
the sum is \frac{23}{6}+\frac{343}{6}+\frac{50}{3}=\frac{233}{3}


so the area under the curve is \frac{233}{3}
6 0
3 years ago
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Svet_ta [14]

Answer:

A=2πrh

Step-by-step explanation:

A=2*22/7*4*9

=230

5 0
3 years ago
You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never withdraw money from the account
castortr0y [4]
Formula for amount for compound interest:
Amount, A =  P(1 + r/100)^n
Where r is rate, P is principal, and n is the number of years.
P = 2000, r = 5, n = t years.
A = 2000( 1 + 5/100)^t
A = 200(1+0.05)^t
A = 2000(1.05)^t
A(t) = 2000(1.05)^t 
6 0
3 years ago
Jaime bakes24 muffins and gives away 3. She also bakes 36 bagels and gives away 4. Writean expression using GROUPING SYMBOLS ILL
Sergeu [11.5K]

Answer:

24-3=21 , 36-4=32 ,  3+4=7 , 7 x 5 , which equals 35

Step-by-step explanation:

5 0
3 years ago
What is 788.48 plus 7% rounded to the nearest cent
AveGali [126]

Answer:

$843.67

Step-by-step explanation:

1% = 7.8848

7.8848 x 7 = 55.1936

788.48 + 55.1936 = 843.6736

Rounded to nearest cent = $843.67

7 0
3 years ago
Read 2 more answers
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