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Daniel [21]
3 years ago
8

What is the quotient? t+3/t+4

Mathematics
1 answer:
leva [86]3 years ago
5 0

Answer:

\frac{t + 3}{t + 4}  = 1 -  \frac{1}{t + 4}

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The perimeter of this figure is 42.5 cm. Find the area of this figure.
11111nata11111 [884]
The picture in the attached figure

let
AB=x

we know that
perimeter of the figure=10*x
perimeter=42.5 cm
so
42.5=10*x
x=42.5/10
x=4.25 cm

area of the figure=area of rectangle +area of square
area of rectangle=4.25*(4.25*3)----> 54.1875 cm²
area of square=4.25²----> 18.0625 cm²

area of the figure=54.1875+18.0625-----> 72.25 cm²

the answer is
72.25 cm²

3 0
3 years ago
12 spheres of the same size are made from melting a solid cylinder of 1 cm diameter and 2 cm height. Find the diameter of each s
mars1129 [50]

The answer is: The diameter is 4 centimeters.

The explanation  is shown below:

1. The volume of the cylinder is:

Vc=r^{2}h \pi

Where r is the radius (r=\frac{16cm}{2}=8cm) and h is the height (h=2cm).

Then:

Vc=(8cm)^{2}}(2cm)\pi\\Vc=128\pi

2. The total volume of the 12 spheres is:

Vs=12(\frac{4}{3}r^{3}\pi)\\Vs=16r^{3}\pi

3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:

Vc=Vs\\128\pi=16r^{3}\pi

4. Now, you must solve for the radius:

r=\sqrt[3]{\frac{128\pi}{16\pi}}\\r=2cm

5. The diameter is:

d=2r\\d=2(2cm)\\d=4cm

5 0
3 years ago
How do you find endpoints of a line segment with a given endpoint and midpoint?
seraphim [82]

In order to find the second endpoint or a line segment given the first and the midpoint, you need to realize that the midpoint is an average of the two endpoints. Given that fact, we can derive this formula looking at x values of points A and B with midpoint M. Remember this is only looking at the x values.

(A + B)/2 = M

So if we are looking for A, we can solve for A and use this modified formula.

(A + B)/2 = M

A + B = 2M

A = 2M - B

Now we can do this with the y values of these points as well. We then have the coordinates of both parts of A.

6 0
2 years ago
Solve -1 < x + 1 ≤ 6
andrey2020 [161]

Answer:

-2<x≤5

Step-by-step :

-1<x+1≤6 So fisrt what every we do to one side we must do to the other. In this case it's a bit different since we are dealing with inequalities.

-1<x+1≤6 I would start off by isolating x in the middle.

-1<x+1≤6 I subtracted 1 from all three sides.

-1     -1   -1

Now your equation should look like this:

-2<x≤5  Now there is really nothing much we can do here since we were just trying to get x by its self.

Answer : -2<x≤5

7 0
2 years ago
Eli has 7 games on his phone . his sister has 6 more than him which ratio compares the number of games on Eli's phone to the num
Assoli18 [71]

Answer:

7:13

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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