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2 years ago

Please help me, is this correct? Yes or no

Mathematics

2 answers:

Arlecino [84]2 years ago

7 0

Answer:

This answer of this question is Yes

Gala2k [10]2 years ago

4 0

Answer:

Yes, It's correct.

Step-by-step explanation:

${ (\frac{3}{2} )}^{ - 5} = {( \frac{2}{3}) }^{5} \\ \frac{1}{ {( \frac{3}{2} )}^{5} } = {( \frac{2}{3}) }^{5} \\ 1 \div { (\frac{3}{2}) }^{5} = {( \frac{2}{3} )}^{5} \\1 \times { (\frac{2}{3}) }^{5} = {( \frac{2}{3}) }^{5} \\ {( \frac{2}{3} )}^{5} = {( \frac{2}{3} )}^{5} \\$

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What number times 3 is 18?

kobusy [5.1K]

Answer: 6

Step-by-step explanation:

6+6=12 12+6=18 thus 6 times 3 is 18

7 0

3 years ago

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Write the standard equation of a circle with center (2, −5) and radius 16.

astra-53 [7]

The standard equation of circle when center is (h,k) and radius is 'r'

$\left ( x - h \right )^{2} + \left ( y - k \right )^{2} = r^{2}$

h = 2 and k = - 5, radius = 16

So equation of the circle is given by

$\left ( x - 2 \right )^{2} + \left ( y - (-5) \right )^{2} = 16^{2}$

$\left ( x - 2 \right )^{2} + \left ( y + 5) \right )^{2} = 256$

7 0

3 years ago

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My friend sets out walking at a speed of $3$ miles per hour. I set out behind her $5$ minutes later at $4$ miles per hour. When

r-ruslan [8.4K]

Answer: The answer is 0.25 miles.

Step-by-step explanation: Given that my friend started walking at a speed of 3 miles per hour and I started 5 minutes after him at a speed of 4 miles per hour. We need to find the number of miles my friend travelled when I started walking.

Since I started 5 minutes after than my friend, so we are to find the distance travelled by my friend in 5 minutes.

In 1 hour, i.e., 60 minutes, distance travelled by my friend = 3 miles.

In 1 minute, distance travelled by my friend is

$\dfrac{3}{60}=\dfrac{1}{20}~\textup{miles}.$

Therefore, distance travelled by my friend in 5 minutes will be

$\dfrac{1}{20}\times 5=\dfrac{1}{4}=0.25~\textup{miles}.$

Thus, the answer is 0.25 miles.

3 0

3 years ago

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Name two points on a line that has a slope of 5 over 8.

GREYUIT [131]

Y=mx+b ....formula of slope

m refers to slope and b is intercept,,,so this become equation of y.
now answer,
y=5/8x+b

6 0

3 years ago

Which of the following could be the ratio of the length of the longer leg of a 30-60-90 to the length of its hypotenuse? CHECK A

8_murik_8 [283]

Answer:

A. √3 : 2

D. 3√3 : 6

Step-by-step explanation:

In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°

The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit

The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units

From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side

This is to say if;

The given the shorter leg = 1 unit

The hypotenuse is twice the shorter leg= 2 units

The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg

$=2^2-1^2\\\\=4-1=3\\\\\\b^2=3\\\\\\b=\sqrt{3}$

where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;

$a^2+b^2=c^2$

<u>Hence the summary is</u>

a=shorter leg= 1 unit

b=longer leg = √3 units

c=hypotenuse=2 units

The ratio of longer leg to its hypotenuse is

=√3:2⇒ answer option A

This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A

$=3\sqrt{3} :6\\\\\\\frac{3\sqrt{3} }{3} :\frac{6}{3} \\\\\\=\sqrt{3} :2$

Answers are :option A and D

4 0

3 years ago