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liubo4ka [24]
3 years ago
7

The rectangular box shown in the figure has dimensions 8" × 7" × 4" (a = 8, b = 7, c = 4). Approximate the angle θ formed by a d

iagonal of the base and a diagonal of the 7" × 4" side. (Round your answer to two decimal places.)

Mathematics
1 answer:
vodomira [7]3 years ago
8 0
Please see the attached picture for the work on solving this problem.

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An ice cream shop sells cones at the volume of 94.2 cubic meters they want to double the volume of the cones without changing th
marin [14]
The volume of a cone is V=\pi r^2\frac{h}3 where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.

94.2 = \pi r^2\frac{10}3 \\ 282.6 = \pi r^2 *10 \\ 28.26 = \pi r^2 \\ 8.99543738355 = r^2 \\ 2.99923946752=r

Now we know that's going to be the radius of our <em>new </em>cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.

188.4 = \pi (2.99923946752)^2\frac{h}3 \\ 188.4 = \pi(8.99543738355)\frac{h}3 \\ 188.4 = 28.26\frac{h}3 \\ 565.2 = 28.26h \\\\ \boxed{h = 20, r\approx 3}
5 0
3 years ago
Peter wallpapered a wall that was 9 feet wide and 8 feet high. He had 27 square feet of wallpaper left over. How many square fee
ivanzaharov [21]

Answer:

99 square feet

Step-by-step explanation:

Because 8 times 9=72+27=99

7 0
3 years ago
Read 2 more answers
Solve for n:<br><br> 4n-40=7(-2n+2)
Sidana [21]

Step-by-step explanation:

hope this helped you :)) !!

8 0
3 years ago
The perimeter of the rectangle below is 84 unit . Find the length side of XY
lesya [120]

Answer:

25 unit

Step-by-step explanation:

See attachment for the missing figure.

Assuming the complete question is:

Side UY = 4z-1  

Side UV = 5z+3  

Perimeter of rectangle is given by:

2UY+2UV=P

2(4z-1)+2(5z+3)=84

8z-2+10z+6=84

18z+4=84

18z = 84 -4 =>

18z = 80

z= 4.45 unit

Side UV = 5z+3 => 5(4.45) + 3

Side UV ≈ 25 unit

SInce, Side UV = Side XY

Side XY≈ 25 unit

5 0
3 years ago
An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro
krok68 [10]
Using the formula
L=rx  (x=angle)
x=L/r
x=8/3
x=2.6 radians
7 0
4 years ago
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