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3 years ago

14

If I want to buy a pair of sunglasses and the original price is $120, how much will I pay if they are 50% off? What if they were

25% off?

1 answer:

gogolik [260]3 years ago

4 0

Answer:

$60, $90

Step-by-step explanation:

Amount paid when 50% off

=$ 120 - 50/100 * 120 = $ 120 - $60 = $60

Amount paid when 25% off

=$ 120 - 25/100 * 120 = $ 120 - $30 = $90

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The figure below is a regular octagon with a side length of 8 inches.

Masteriza [31]

Answer:

309in²

Step-by-step explanation:

Area of an octagon is expressed as;

A=2(1+√2)a²

a is the side length of the octagon

Given

a = 8

Substitute into the formula

A = 2(1+√2)(8)²

A = 2(1+√2)(64)

Expand

A = 2(64+64√2)

A = 128+128√2

A = 128+128(1.414)

A = 128+181.01

A = 309in²

Hence the area of the octagon is 309in²

3 0

3 years ago

Can someone help me with this problem with steps?

kozerog [31]

Answer:

x = -11

m<R: 22

m<Q: 94

Step-by-step explanation:

54 - 9x - 5 + 10 - 2x = 180

-11x + 59 = 180

-11x = 180 - 59

-11x = 121

x = -11

m<R:

10 - 2x

10 - 2(-11)

10 + 22

22

m<Q:

-9x - 5

-9(-11) - 5

99-5

94

7 0

3 years ago

Where does the function y = − 5 ( 0.5 ) x cross the y-axis?

Ugo [173]

Answer:

(0,-5)

Step-by-step explanation:

The given function is :

$y = - 5 {(0.5)}^{x}$

We want to find the point where the graph touches the y-axis.

At this y-intercept, the x-value is zero.

So we put x=0 into the equation to obtain:

$y = - 5(0.5)^{0}$

We evaluate exponents to get:

$y = - 5(1)$

$y = - 5$

The function crosses the y-axis at (0,-5).

6 0

3 years ago

Find each sum or difference.(3x^2+2)+(4x^2+3)

dem82 [27]

first you need to multiply it

7 0

3 years ago

Read 2 more answers

By first calculating the size of angle LMN, calculate the area of triangle MNL. You must show all your working.

RSB [31]

Answer:

m(∠LMN) = 67.44°

Area of ΔMNL = 16.66 square units

Step-by-step explanation:

By applying Sine rule in the ΔLMN,

$\frac{\text{Sin}M}{\text{NL}}=\frac{\text{Sin}N}{\text{ML}}$

$\frac{\text{Sin}M}{7.2}}=\frac{\text{Sin}38}{\text{4.8}}$

SinM = $\frac{\text{Sin}38\times 7.2}{4.8}$

SinM = 0.9235

M = $\text{Sin^{-1}}(0.9235)$ $\text{Sin}^{-1} (0.9235)$

M = 67.44°

m(∠M) + m(∠N) + m(∠L) = 180°

67.44 + 38 + m(∠L) = 180°

m(∠L) = 180 - 105.44

m(∠L) = 74.56°

Area of ΔMNL = $\frac{1}{2}(\text{ML})(\text{NL})\text{Sin}(74.56)$

= $\frac{1}{2}(4.8)(7.2)(0.96391)$

= 16.66 square units

3 0

3 years ago