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stira [4]
3 years ago
9

the length of a rectangle is 1 meter less than its width. the area of the rectangle is 42 square meters. find the dimensions of

the rectangle
Mathematics
1 answer:
Keith_Richards [23]3 years ago
5 0
Length - 6 meters
width - 7 meters
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GenaCL600 [577]

Answer:

The first is -4 and the second is 10

Step-by-step explanation:

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2 years ago
What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?
vodka [1.7K]
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is V=Bh, the volume of a pyramid/cone is V=\frac{1}3Bh.

In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is A=\pi r^2 where r is the radius.
A=\pi (4)^2=\pi (4\times4)=16\pi=B

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

V=\frac{1}3\times16\pi \times9

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

V\approx\frac{1}3\times50.24\times9

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

V\approx3\times50.24

\boxed{V\approx150.72\ cm^3}
8 0
3 years ago
Read 2 more answers
Let g be the function given by g(x)=x^2*e^(kx) , where k is a constant. For what value of k does g have a critical point at x=2/
ArbitrLikvidat [17]
G `( x ) =2x * e^{kx}  + k x^{2} *e^{kx} = \\  = xe^{kx}(2 + kx )
2 + k x = 0
k x = -2
k = -2: x = - 2 : 2/3 = - 2 * 3/2
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Jet001 [13]

Answer:

corresponding angles- 4 and 8, 3 and 7, 1 and 5, 2 and 6

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alternate interior angles- 3 and 5, 2 and 8

alternate exterior angles- 1 and 7, 4 and 6

Step-by-step explanation:

8 0
3 years ago
If the second term of an arithmetic sequence is 5 and the fourth term is 12, what is the 37th term?
neonofarm [45]
By using the information in the question, find a equation in the y=mx+b form. Then, plug in 37 as the x value and solve for y.
7 0
3 years ago
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