Ask question

Ask question

All categories

2 years ago

11

A vase is in the shape of a rectangular prism. It has a base area of 40

1 answer:

Reptile [31]2 years ago

6 0

Answer:

40/10

Step-by-step explanation:

You might be interested in

Solve using square root method

avanturin [10]

$\frac{1}{2}(x+5)^2 + 9 = -15$

$\frac{(x+5)^2+18}{2} = \frac{-30}{2}$

Cancel out the denominators.

(x+5)² + 18 = -30

(x+5)² = -30 - 18

(x+5)² = -48

The equation is impossible, we have a negative number.

There isn't a number that squared gives a negative number (the square is always positive).

√(x+5)² = +/- √-48

x+5 = +/- √-48

IMPOSSIBLE

You can write the result in imaginary numbers

x+5=+/- 4i√3

6 0

3 years ago

The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

$l=4w$

We also know the area, which is 324 m². The formula for area:

$A=l*w$

Insert the known values:

$324=(4w)*w$

Solve for w. Simplify by removing parentheses:

$324=4w*w\\324=4w^2$

Divide 4 from both sides to isolate the variable:

$\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2$

Find the square root of both sides:

$\sqrt{81} =\sqrt{w^2} \\\\w=9$

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

$\frac{324}{9}=\frac{l*9}{9}\\\\ l=36$

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

$P=2l+2w$

Insert values:

$P=2(36)+2(9)\\\\P=72+18\\\\P=90$

The perimeter is 90 m.

5 0

3 years ago

Please assist me with this problem

Nimfa-mama [501]

Answer:

d. about 50 times larger

Step-by-step explanation:

The given expressions for magnitude (M) can be solved for the intensity (I). Then the ratio of intensities is ...

$\dfrac{I_2}{I_1}=\dfrac{I_0\cdot 10^{M_2}}{I_0\cdot 10^{M_1}}=10^{M_2-M_1}=10^{4.2-2.5}\\\\=10^{1.7}\approx 50$

The larger earthquake had about 50 times the intensity of the smaller one.

8 0

3 years ago

The price of the technologies stock was $9.52 yesterday. Today the price rose to $9.65. Find the percentage increase

Cloud [144]

Answer:2.63%

Step-by-step explanation:9.65-9.25=0.40

0.40÷9.25×100=

2.63℅ rounded off to 2decimal places.

4 0

3 years ago

The volume of a sphere whose diameter is 18 cm is

prohojiy [21]

Answer:

= 3052.08 cm^3

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

We know the diameter is 18

d = 2r

18 = 2r

Divide each side by 2

18/2 =2r/2

9 =r

V = 4/3 pi 9^3

V = 4/3 pi (729)

V = 972 pi

Approximating pi by 3.14

V =972 (3.14)

= 3052.08 cm^3

5 0

3 years ago