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Jet001 [13]
4 years ago
13

a fruit market sold 3,849 apples 3,498 oranges,and 3894 pears in one day.round each number to the nearest hundred.then order the

rounded numbers from greatest to least
Mathematics
1 answer:
Ainat [17]4 years ago
5 0
First is pears ,next is apple, and the last is oranges. 3,900, 3800, 3500. I hope that this helps.
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A ramp 17 1/2 feet in length rises to a loading platform that is 3 1/2 feet off the ground. Find the angle that the ramp makes w
faltersainse [42]

Answer:

The angle that the ramp makes with the ground is 11.54°

Step-by-step explanation:

From the image attached, we can see that the length of 17 1/2 ft corresponds to the hypotenuse in a right triangle, the length of 3 1/2 ft corresponds to the opposite side.

We can use the fact that the sin(θ) = \frac{Opposite}{Hypotenuse} to find the angle that the ramp makes with the ground.

sin(\theta)=\frac{3.5}{17.5}

The angle is equal to

\theta = sin^{-1}(\frac{3.5}{17.5} )\\\theta = 11.54\°

3 0
3 years ago
How would you go about finding the solution to this system of three equations in three variables? Be specific. For example, you
kupik [55]
I:2x – y + z = 7
II:x + 2y – 5z = -1
III:x – y = 6

you can first use III and substitute x or y to eliminate it in I and II (in this case x):
III: x=6+y
-> substitute x in I and II:
I': 2*(6+y)-y+z=7
12+2y-y+z=7
y+z=-5

II':(6+y)+2y-5z=-1
3y+6-5z=-1
3y-5z=-7

then you can subtract II' from 3*I' to eliminate y:
3*I'=3y+3z=-15

3*I'-II':
3y+3z-(3y-5z)=-15-(-7)
8z=-8
z=-1

insert z in II' to calculate y:
3y-5z=-7
3y+5=-7
3y=-12
y=-4

insert y into III to calculate x:
x-(-4)=6
x+4=6
x=2

so the solution is
x=2
y=-4
z=-1
3 0
3 years ago
Simplify:<br><br><br> 2+5(x+3)- (2x-7)(x+2)<br><br> PLEASE SHOW WORK!!!
svetoff [14.1K]

Answer:

2+5(x+3)- (2x-7)(x+2)

7(x+3)- (3x+4x-7x-14)

(7x+21)-(7x-7x-14)

(7x+21)-(14)

7x+21-14

=7x+7

<h2><em>Please mark as brainliest answer!!!!</em></h2>

<em></em>

4 0
3 years ago
Read 2 more answers
I need help please :)
Mice21 [21]

Answer:

Um sorry if its wrong but I think its that it gets bigger as you go on.

Step-by-step explanation:

8 0
3 years ago
Carlos is filling a spherical balloon with water. if he increases the volume of the balloon from 4,188.79 cubic centimeters to 1
Harrizon [31]

We know that the volume of a sphere of radius r is given by

V=\frac{4}{3}\pi r^3

Now, we have been given the initial volume was 4,188.79 cubic centimeters. Let us find the radius at this time.

Substituting the value of volume in the above equation, we get

4,188.79=\frac{4}{3}\pi r^3\\&#10;\\&#10;4\pi r^3=4,188.79 \times 3\\&#10;\\&#10;r^3=\frac{4188.79 \times 3}{4\pi}\\&#10;\\&#10;r^3=1000\\&#10;\\&#10;r=10

Now, the final volume is given by 14,137.167 cubic centimeters. Thus, we have

14137.167 =\frac{4}{3}\pi r^3\\&#10;\\&#10;4\pi r^3=14137.167  \times 3\\&#10;\\&#10;r^3=\frac{14137.167\times 3}{4\pi}\\&#10;\\&#10;r^3=3375\\&#10;\\&#10;r=15

Now, let us find the surface areas for these two radii.

For r=10

Surface area is given by

S=4\pi r^2\\&#10;\\&#10;S=4\times 3.14 \times (10)^2\\&#10;\\&#10;S=1256 \text{ square centimeters}

Similarly, for

r=15\\&#10;\\&#10;S=4\times 3.14\times (15)^2\\&#10;\\&#10;S=2826 \text{ square centimeters}

Therefore, the increase in the surface area is given by

\Delta S= 2826-1256= 1570 \text{ square centimeters}

Hence, the average rate at which the surface area is changing is given by

\frac{1570}{12}=130.8

Therefore, the average rate at which the surface area is changing is given by 130.8 square centimeters per second.

7 0
4 years ago
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