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3 years ago

In ΔQRS, r = 1.5 inches, ∠S=23° and ∠Q=22°. Find the length of s, to the nearest 10th of an inch.

Mathematics

1 answer:

wel3 years ago

7 0

Answer:

0.8 inches

Step-by-step explanation:

< R = 180-23-22 = 135°

the length of s = 1.5 × sin 23° / sin 135°

= 1.5 × 0.391 / 0.707 = 0.5865/0.707

= 0.8 inches

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Determine whether each equation represents a proportional relationship

wlad13 [49]

Hey there! I'm happy to help!

A proportional equation follows the form y=kx, where k is the constant of proportionality.

Answer 1 is wrong because there is something added.

2 is correct as it follows this format.

3 is incorrect as it does not follow this format.

4 is correct as it follows the format (k is 1)

5 Is correct because it follows this format.

6 is not correct because there is a 1 added, which does not follow the format.

Therefore, the correct answers are 2, 4, and 5.

Have a wonderful day! :D

4 0

2 years ago

Read 2 more answers

Help!!

Elza [17]

Answer:

$(b)\ 2x - 9 = -1$

$(c)\ -2x + 12 = 4$

$(e)\ 2(x - 10) = -12$

Step-by-step explanation:

Required

Which equals $x = 4$

$(a)\ 2x + 6 = 2$

Collect like terms

$2x = 2 - 6$

$2x = -4$

Divide both sides by 2

$x = -2$

$(b)\ 2x - 9 = -1$

Collect like terms

$2x = -1 + 9$

$2x = 8$

Divide both sides by 2

$x = 4$

$(c)\ -2x + 12 = 4$

Collect like terms

$-2x =- 12 + 4$

$-2x =-8$

Divide both sides by -2

$x = 4$

$(d)\ 2(x + 2) = 10$

Divide both sides by 2

$x + 2 =5$

Collect like terms

$x = 5-2$

$x = 3$

$(e)\ 2(x - 10) = -12$

Divide both sides by 2

$x - 10 = -6$

Collect like terms

$x = 10 - 6$

$x = 4$

Hence, the equations with the required solution are:

$(b)\ 2x - 9 = -1$

$(c)\ -2x + 12 = 4$

$(e)\ 2(x - 10) = -12$

3 0

2 years ago

Which expressions are equivalent to 4x^4-9x^2?

weeeeeb [17]

We can cosider this to be a difference of 2 squares so

4x^4 - 9x^2 = (2x^2 - 3x)(2x^2 + 3x) so D is one answer

also we could take x^2 out and get
x^2(4x^2 - 9) = C

3 0

3 years ago

A normal distribution has a mean of 4 and a standard deviation of 1. What percent of values are from 4 to 7?

Igoryamba

Answer:

49.865%

Step-by-step explanation:

Given that:

μ = 4 ; σ = 1

For x = 4

P(x < 4) :

Z score (x - μ) / σ

P(x < 7) - P(x < 4)

((7 - 4) / 1) - ((4 - 4) / 1)

P(Z < 3) - P(Z < 0)

Usibg the Z probability calculator :

0.99865 - 0.5

= 0.49865

= 0.49865 * 100

= 49.865%

6 0

2 years ago

a small bar of gold is a rectangular prism that measures 40 millimeters by 25 millimeters by 2 millimeters. one cubic millimeter

guajiro [1.7K]

Step One
Find the Volume in ccs.

V= l*w*h
l =40 mm
w = 25 mm
h = 2 mm
V = 40*35 * 2
V = 2800 mm^3

Step Two
Find the weight
1 mm^3 = 0.0005
2800 mm^3 = x <<<<< answer 1

$\frac{1}{2800} = \frac{0.0005}{x}$ Cross multiply.

1x = 2800 * 0.0005
x = 1.4 ounces. <<<<< answer 2

9 0

3 years ago