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3 years ago

PLS HELP QUICK!! Simplify. 5^-1 (3^-2) a. 45 b. 1/45 c. 15^-3 d. 15^2

Mathematics

2 answers:

Verdich [7]3 years ago

8 0

Step-by-step explanation:

hope this will help you.

Finger [1]3 years ago

3 0

Answer:

option B: 1/45

Step-by-step explanation:

option B isthe correct answer of this question.

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hope this will be helpful to you.

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lys-0071 [83]

$\large\boxed{\tt Answer:~2\pi ~or~around~6.283~units}$

$\tt Step-by-step~explanation:$

The equation for finding the circumference of a circle:

If the radius of this circle is 1, then that means the diameter is 2. We multiply 2 by π to get our answer: 2π or approximately 6.283.

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=a%20%3D%20p%20%2B%20prt" id="TexFormula1" title="a = p + prt" alt="a = p + prt" align="absmidd

Alexus [3.1K]

Answer:

$\frac{A}{1 + rt}$

Step-by-step explanation:

$a = p + prt$

Distributive property:

$A = P(1 + rt)$

The divide both sides by $( 1 + rt)$ :

$\frac{A}{1 + rt}$

8 0

3 years ago

If you place a 24-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bot

Naddika [18.5K]

Answer:

9.6

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 22² = 24²

Subtract 22² from both sides

a² = 24² - 22²

a² = 576 - 484

a² = 92

Take the square root of both sides

a = 9.591663046625438

Rounded

a = 9.6 ft

8 0

3 years ago

Read 2 more answers

One afternoon, a student who is 5 feet 4 inches tall measured shadows to find the height of a telephone pole. The student's shad

Setler79 [48]

Answer:

19.9875 feet

Step-by-step explanation:

The formula is given as:

Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.

1 inch = 0.0833 feet

Shadow of the student = 5ft

Height of the student = 5 feet 4 inches

4 inches to feet

= 4 × 0.0833 feet

= 0.33 feet

Hence: Height of the student = 5 + 0.33 = 5.33 feet

Shadow of the telephone pole = 18 feet 9 inches long

9 inches to feet

= 9 × 0.0833 feet

= 0.75 feet

Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet

Height of the telephone pole= x

Therefore:

5/5.33 = 18.75/x

Cross Multiply

5x = 5.33 × 18.75

x = 5.33 × 18.75/5

x = 19.9875 feet

The height of the telephone pole = 19.9875 feet

4 0

3 years ago

15. The height and yolume of a cylinder are 4cm and 616cm respectively. Calculate the diameter of the base. (take t = 27 쪽 A. 7c

irakobra [83]

Step-by-step explanation:

Given that,

Height of cylinder = 4 cm
Volume of cylinder = 616 cm³

To find,

Diameter of the base = ?

Firstly we'll find the base radius of the cylinder.

$\longmapsto\rm{V_{(Cylinder)} = \pi r^2h}\\$

According to the question,

$\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}\\$

$\longmapsto\rm{616 \times 7 = 22 \times r^2 \times 4}\\$

$\longmapsto\rm{4312 = 88 \times r^2 }\\$

$\longmapsto\rm{\cancel{\dfrac{4312}{88}} = r^2 }\\$

$\longmapsto\rm{49 = r^2 }\\$

$\longmapsto\rm{\sqrt{49} = r }\\$

$\longmapsto\rm{7 \; cm = r }\\$

Now,

$\longmapsto\rm{Diameter = 2r }\\$

$\longmapsto\rm{Diameter = 2(7 \; cm) }\\$

$\longmapsto\bf{Diameter = 14 \; cm}\\$

The required answer is 14 cm.

4 0

3 years ago