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3 years ago

Simplify (-63) ÷ (-9)

Mathematics

2 answers:

Julli [10]3 years ago

6 0

Dividing two negatives equals a positive:
(-63) / (-9) = 7

sasho [114]3 years ago

3 0

Answer:

Find the GCD (or HCF) of numerator and denominator

GCD of 63 and 9 is 9

Divide both the numerator and denominator by the GCD

63 ÷ 9

9 ÷ 9

Reduced fraction:

7/1

Therefore, 63/9 simplified to lowest terms is 7/1.

Step-by-step explanation:

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What is the value of 1 in 9.54, The value of the one is 1 tenth its in the tenths spot

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4 years ago

A right cone has a radius of 13 cm and a slant height of 20 cm. Find its surface area.

devlian [24]

Answer:

$A=1347.7\ cm^2$

Step-by-step explanation:

Given that,

Radius of a cone, r = 13 cm

Slant height of the cone, l = 20 cm

We need to find the surface area of the cone. The formula for the surface area of the cone is given by :

$A=\pi rl +\pi r^2$

Put all the values,

$A=\pi r(l + r)\\\\A=\pi \times 13(20 + 13)\\\\A=1347.7\ cm^2$

So, the surface area of the cone is $1347.7\ cm^2$ .

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3 years ago

What represents the number written as 23 and 37 thousandths

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.023
.037

If you need them added, it is .060

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3 years ago

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Gizmo is investing in TikTok stock. He plans on adding an additional $250 at the end of every year and the expected monthly rate

Nikitich [7]

Answer:

y=425*250^1.083

Step-by-step explanation:

It wants to write an equation of that models the amount of money in the account each month for the first year.

We need the Exponential Equation Formula: y=a*bx

Y is the amount of money in the account.

a is the initial amount he starts with

b is the amount being added each month

x is the rate of return

So, y=425*2501.083

8 0

3 years ago

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3. Suppose that MAP and MAC are linear pairs, m ZMAP = 7x - 13 and

Artyom0805 [142]

Answer:

Part A: The line PC and the ray AM formed ∠MAP and ∠MAC

Part B: m∠MAP = 113°

Part C: m∠MAC = 67°

Step-by-step explanation:

* Lets explain what is the linear pairs

- A linear pair of angles is formed when two lines intersect.

- Two angles are said to be linear if they are adjacent angles formed by

two intersecting lines.

- The measure of a straight angle is 180°, so a linear pair of angles

must add up to 180°

* Lets solve the problem

- ∠MAP and ∠MAC are linear pairs

- m∠MAP = 7x - 13

- m∠MAC = 3x + 13

# Part A:

∵ The rays of ∠MAP are AM and AP

∵ The rays of ∠MAC are AM and AC

∴ The common Vertex is A and the common ray is AM

∴ The line is PC and the ray is AM

* The line PC and the ray AM formed ∠MAP and ∠MAC

# Part B:

∵ The measure of linear pairs is 180°

∵ ∠MAP and ∠MAC are linear pairs

∴ m∠MAP + m∠MAC = 180°

∵ m∠MAP = 7x - 13

∵ m∠MAC = 3x + 13

- Substitute these values in the equation above

∴ 7x - 13 + 3x + 13 = 180

∴ 10x = 180

- Divide both sides by 10

∴ x = 18

- To find m∠ MAP substitute the value of x in its expression

∵ m∠MAP = 7x - 13

∵ x = 18

∴ m∠MAP = 7(18) - 13 = 126 - 13 = 113

* m∠MAP = 113°

# Part C:

- To find m∠ MAC substitute the value of x in its expression

∵ m∠MAP = 3x + 13

∵ x = 18

∴ m∠MAC = 3(18) + 13 = 54 + 13 = 67

* m∠MAC = 67°

4 0

3 years ago