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yawa3891 [41]
3 years ago
13

Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a 31° angle wit

h the bottom of the canvas. What is the height of the canvas? Round your answer to the nearest inch.
12 inches
14 inches
24 inches
27 inches
Mathematics
1 answer:
elena55 [62]3 years ago
6 0
The answer should be 24 inches
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Marathon Hours,Miles 0,0; 1,6; 2,11; 3,15; 4,21; 5,26.2. Cayla ran a marathon. The table shows which mile Cayla had finished at
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The answer would be B) 4mph
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3 years ago
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Write the equation for the parabola that has x− intercepts (−2,0) and (1.2,0) and y− intercept (0,−4).
schepotkina [342]

Answer: The answer is 15y+4=25(x-1.6)^2.


Step-by-step explanation:  We are to find the equation of the parabola with x-intercepts (-2,0), (1.2,0) and y-intercept (0,-4).

Therefore, axis of symmetry is

x=\dfrac{1.2+2}{2}\\\\\Rightarrow x=1.6.

Let the equation of the parabola be y=a(x-1.6)^2+k.

Substituting the points (x,y)=(0,-4) and (1.2,0) in the above equation, we find that

-4=a(0-1.6)^2+k\\\\\Rightarrow k=-2.56a-4

and

0=a(1.2-1.6)^2+k\\\\\Rightarrow k=-0.16a.

Solving the above two equations, we get

a=-\dfrac{5}{3}~~\textup{and}~~k=-\dfrac{4}{15}.

So, putting the values of 'a' and 'k' in the equation of the parabola, we get

y=-\dfrac{5}{3}(x-1.6)^2-\dfrac{4}{15}\\\\\Rightarrow 15y+4=-25(x-1.6)^2.

Thus, the equation of the parabola is  15y+4=25(x-1.6)^2.


3 0
4 years ago
What is 503.782 to the nearest then tenth
Aleks04 [339]

Answer: 503.8

Step-by-step explanation: 503.782 is the original fraction. To round up the number has to be 5, 6, 7, 8, or 9. The number in the hundredths place is 8. so that means the number in the tenths place can be moved up to 8 since 7+1=8.

4 0
3 years ago
Use Cramer's Rule to solve each system.<br> 5x – 3y = 8<br> -2x - y = 10
zlopas [31]

Answer:

-2, -6

Step-by-step explanation:

using cramer rule

5    -3    

-2   -1    

calculatiing the determinant = (5 x-1) - (-3x-2) = -5 -(6) = -5-6=-11

using cramer rule

to calculate x we change the coefficient of x with the answer (8,10)

8   -3

10   -1

we calculate determinant = (8x-1)-(-3x10) = -8-(-30) = -8+30 =22

to calculate x

22/-11= -2

to calculate y we change the coefficient of y with the answer (8,10)

5   8

-2   10

we calculate determinant = (5x10)-(8x-2) = 50 -(-16) = 50 +16=66

to calculate y

66/-11= -6

6 0
3 years ago
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What would be 1/2÷10 this is dumb i know but its so annoying!!!​
Veseljchak [2.6K]

Answer: 1/20 or 0.05

Step-by-step explanation:

6 0
3 years ago
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