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vova2212 [387]
2 years ago
5

a sandbox is a square with an area of 32 square feet. What is the length of each side to the nearest tenth?

Mathematics
1 answer:
blagie [28]2 years ago
5 0

Answer:  5.6 ft

Step-by-step explanation:

A square has equal sides that all have x length.  The area of the square would be x^2.

x^2 = 32 ft^2

x = 5.6 feet, to the nearest tenth.  

[The actual value is 5.65685 feet. but the questions says round to nearest tenth.]

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a. Find symmetric equations for the line that passes through the point (4, −4, 8) and is parallel to the vector −1, 4, −3b. Find
daser333 [38]

The line has equation

\vec r(t)=(4,-4,8)+(-1,4,-3)t

where t is any real number. (-1,4,-3)t is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.

To get the symmetric form, we have

\begin{cases}x(t)=4-t\\y(t)=-4+4t\\z(t)=8-3t\end{cases}

Solving for t in each equation gives the symmetric form,

t=\boxed{4-x=\dfrac{y+4}4=\dfrac{8-z}3}

The line has intercepts in the coordinate planes wherever either the x, y, or z coordinate is 0.

xy-plane:

z=0\implies\begin{cases}4-x=\frac83\\\frac{y+4}4=\frac83\end{cases}\implies\left(\dfrac43,\dfrac{20}3,0\right)

yz-plane:

x=0\implies\begin{cases}\frac{y+4}4=4\\\frac{8-z}3=4\end{cases}\implies\left(0,12,-4\right)

xz-plane:

y=0\implies\begin{cases}4-x=1\\\frac{8-z}3=1\end{cases}\implies\left(3,0,5\right)

7 0
3 years ago
3x+4/7-5x-4/7=3/7<br> A- (2)<br> B (-2)<br> C (4/3)<br> D (-4/7)
oksano4ka [1.4K]
That  one is realy hard
5 0
3 years ago
Jose has scored 866 points on his math tests so far this semester. To get an A for the semester, he must
Darya [45]

Answer:

ur question is more clarification

Step-by-step explanation:

4 0
3 years ago
The sum of three consecutive multiples of 4 is 444. Find the multiples.<br> PLEASE ANS FAST PLS
SOVA2 [1]

Answer:

144,148,152

Step-by-step explanation:

Here we will have, 4x + 4(x+1) + 4(x+2) = 444

=> x + (x+1) + (x+2) = 111 (dividing both sides by 4)

=>x + x+1 + x+2 =111

=> 3x + 3 = 111

=> 3x = 108

=> x = 36.

So, the three desired numbers 4x, 4(x+1) and 4(x+2) are,

4*36, 4*(36+1) and 4*(36+2)

That means the numbers are, 144, 148 and 152.

8 0
3 years ago
What is the radius and diameter of the following circle?
Tomtit [17]

Answer:

1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Step-by-step explanation:

1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

3 0
3 years ago
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