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Nadya [2.5K]
3 years ago
11

GEOMETRY. PLEASE INCLUDE CLEAR ANSWER AND EXPLANATION

Mathematics
1 answer:
Elodia [21]3 years ago
3 0

Remark

The 29o angle is made up of a line that looks horizontal and the hypotenuse.

The only way to solve this is to assume the horizontal line just mentioned and x are parallel. If that is so, the angle of the triangle on your right is 29o as well.

Step One

Set up the equation.

You are using a right angle triangle using the 29o angle on the lower right that we defined in the remark section.

Cos(29) = adjacent / hypotenuse.

Adjacent = x

Hypotenuse = 500

Cos(29) = 0.8746

0.8746 = x / 500 Multiply both sides by 500

x = 0.8746 * 500

x = 437.3

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Sylvia earns $7 per hour at her after school job. After working one week, she received a paycheck for $91.
makvit [3.9K]

Answer:

a.) hours=13

b.) h\leq 15

c.) $$105

Step-by-step explanation:

a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let <em>h</em> be the unknown number of hours:

7h=91

Solve for h. Divide both sides by 7:

\frac{7h}{7}=\frac{91}{7}\\\\h=13

Sylvia worked 13 hours at a rate of $7 an hour.

b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let <em>h</em> be hours:

h\leq 15

Sylvia can work less than or equal to 15 hours per week.

c.) If Sylvia can work 15 hours, plug in this value for <em>h</em> into an equation when she earns $7 per hour. Let the product of the hours and money equal <em>t</em> for total:

t=7(15)\\t=105

The most money Sylvia can earn in a week is $105.

<em>Finito.</em>

6 0
3 years ago
How can you use a number to explain what an integer and rational numberes are?
enot [183]

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

All integers belong to the rational numbers. A rational number is a number

ab,b≠0

Where a and b are both integers.

Example

The number 4 is an integer as well as a rational number. As it can be written without a decimal component it belongs to the integers. It is a rational number because it can be written as:

41

or

82

or even

−8−2

Whereas

15=0.2

is a rational number but not an integer.

A rational number written in a decimal form can either be terminating as in:

15=0.2

Or repeating as in

56=0.83333...

All rational numbers belong to the real numbers.

If you look at a numeral line

picture05

You notice that all integers, as well as all rational numbers, are at a specific distance from 0. This distance between a number x and 0 is called a number's absolute value. It is shown with the symbol

|x|

If two numbers are at the same distance from 0 as in the case of 10 and -10 they are called opposites. Opposites have the same absolute value since they are both at the same distance from 0.

|10|=10=|−10|

7 0
3 years ago
ZA and B are complementary angles. If m_A = (x – 15)° and m ZB = (x + 3)º, then find the measure of ZB.​
BlackZzzverrR [31]

Answer:

ZB = 54

Step-by-step explanation:

Complementary angles add to 90 degrees

ZA + ZB = 90

x-15 + x+3 = 90

Combine like terms

2x-12 =90

Add 12 to each side

2x-12+12 = 90+12

2x = 102

Divide by 2

2x/2 = 102/2

x = 51

We want to find the measure of ZB

ZB = x+3

ZB = 51+3

ZB = 54

8 0
2 years ago
tiana's car travel 111 miles on 3/8 of a tank of gas. how far will she be able to go on a full tank of gas?
kari74 [83]
Turn the 3/8 itto a mixed number and dived it by 111 
3 0
3 years ago
Read 2 more answers
Jessica is asked to write a quadratic equation to represent a function that goes through the point (8, –11) and has a vertex at
vesna_86 [32]

the answer is c. I just did the review

5 0
3 years ago
Read 2 more answers
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