All categories

3 years ago

Simplify. √ 240 10√ 24 2√ 30 6√40 4√15

Mathematics

1 answer:

Orlov [11]3 years ago

5 0

240 = 16 * 15 = 4^2 * 15

√ 240 = √(4^2 * 15) = 4√15

Answer

4√15

You might be interested in

5x + 3y=33 when y= 2x + 1

inn [45]

Hope that this helps.

3 0

3 years ago

a surveyor measures the distance to the two landmarks as shown in the diagram what is the distance d. between the landmarks

Inessa [10]

<h3>The distance between two landmarks is 123 meters</h3>

Solution:

We have to find the distance between two landmarks

Use the law of cosines

The third side of a triangle can be found when we know two sides and the angle between them

$c^2 = a^2 + b^2 - 2ab\ cos c$

Here, angle between 90 meters and 130 meters is 65 degrees

From figure,

a = 90

b = 130

c = d

Therefore,

$d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123$

Thus, the distance between two landmarks is 123 meters

8 0

3 years ago

Negative one fourths times negative six elevenths

Ipatiy [6.2K]

You multiply fractions simply by multiplying numerators and denominators with each other:

$-\dfrac{1}{4} \times \left(-\dfrac{6}{11}\right) = \dfrac{1 \times 6}{4 \times 11} = \dfrac{6}{44} = \dfrac{3}{22}$

3 0

3 years ago

Stacy, Oliver, and Jivesh each plan to put a certain amount of money into their savings accounts that earn simple interest of 6%

Free_Kalibri [48]

Jivesh put $50
Stacy put $600
Oliver put $100

5 0

3 years ago

Read 2 more answers

Your hair is growing at 1 inch per month. You got your hair cut to 4 inches in length. Write and equation that gives the length

Korvikt [17]

Answer:

Your hair grows 2 to 4 inches in 4 months, 4 to 6 inches in 9 months, and 6 to 8 inches in a year. Though this is how the usual growth cycle works, it also depends on seasonal changes, hair and scalp health, medications, hormonal changes, and diet among other factors.

Step-by-step explanation:

7 0

2 years ago