What is the slope of a line that goes<br> through the points (2,5) and (8, 6)?

Hokiris ladder has two legs that are each 8 feet long. When the ladder is opened safely and locked for use, the legs are 4 feet

guajiro [1.7K]

To solve this problem you must apply the proccedure shown below:

1- The ladder forms an isosceles triangle, because it has two equal sides.

2- Let's call the angle $\alpha$ . To calculate it , you can divide the triangle into two equal right triangles and the angle $\alpha$ will be divided into two equal parts too. Therefore, you can calculate the half of the angle and then multiply it by two, as following:

$Sin^{-1}(\alpha 1)=opposite/hypotenuse$

$Sin^{-1}(\alpha1)=8/2\\ \alpha1=14.47 degrees$

$\alpha =2\alpha 1\\ 2=2(14.47degrees)\\ \alpha =28.95degrees$

The answer is: $28.95degrees$

6 0

4 years ago

A pair of shoes usually sells for $69. If the shoes are 30% off, and sales tax is 8%, what is the total price of the shoes, incl

hodyreva [135]

Answer:

52.16

Step-by-step explanation:

So, Lets find out the discount first. Since the shoes are 30% off, that means the shoes are 70% of their original price, so lets multiply the original price of 69 by .7. 69*.7=48.3

Now to find the sales tax we need to multiply the price we got finding the sale by 1.08 since the sales tax is added on not removed from the price. 48.3*1.08=52.16

The prices after the sale and including tax is 52.16

6 0

3 years ago

Please help will give correct answer brainliest

kodGreya [7K]

Answer:

Step-by-step explanation:

Let us begin with the AA Similarity definition. It states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This means that we need:

An angle of one triangle that is congruent to an angle of the other triangle.
Another angle of one triangle that is congruent to another angle of the other triangle.

For this problem, it is unclear that there are more than one angles that are congruent to each other. We see that angle <DEF and <ABC are congruent, but the problem does not give any other angles. In another case, we must find one more to prove similarity by the AA similarity theorem.

6 0

3 years ago

20% of what number is 80?

marishachu [46]

Answer: The answer is: " 400 " .

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→ 20% of <u> 400 </u> is 80 .

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Step-by-step explanation:

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20% of "x" = 80 ; Solve for " x " ;

20% = 20/100 ;

= 20 ÷ 100 ;

= 20. ÷ 100 ;

= 0.20 ;

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Note that when <u>dividing by 100</u> , we move the decimal

point backward (when "dividing") — 2 (two) spaces —

since "100" has 2 (two) "zeros" .

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→ 0.20 = 0.2 ;

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→ (0.2) x = 80 ; Solve for "x" ;

In this case, multiply each side of the equation by "10" ; to get rid of the "decimal value" ; as follows:

→ (10) * (0.2) x = 80 * 10) ;

to get:

→ 2x = 800 ;

Now, divide Each Side of the equation by "2" ;

to isolate "x" on one side of the equation ;

& to solve for "x" ; as follows:

→ 2x / 2 = 800 / 2 ;

→ x = 400 .

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The answer is: " 400 " .

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→ 20% of <u> 400 </u> is 80 .

__________________________________________________

Hope this is helpful to you!

Best wishes in your academic pursuits

— and within the "Brainly" community!

____________________________________________

8 0

3 years ago

Read 2 more answers

Mario fille a hummingbird feeder with 3/4 cup of sugar water on Friday .Monday , Mario sees that 1/8 of sugar water is left .how

tino4ka555 [31]

$\frac{5}{8}$ of total sugar was drink by humming bird

<h3><u>Solution:</u></h3>

Given that,

When the Mario kept the humming feeder on Friday it had $\frac{3}{4}$ cup of sugar water

When he sees on Monday, it had only $\frac{1}{8}$ of sugar water

So, this means the water is consumed by the humming bird will be the difference of the two values:-

$\text { Sugar water consumed }=\frac{3}{4}-\frac{1}{8}$

On solving we get,

$=\frac{3}{4}-\frac{1}{8}=\frac{24-4}{32}=\frac{20}{32}$

$=\frac{5}{8}$

Hence, the amount of sugar water consumed is $\frac{5}{8}$ of total sugar at the starting

5 0

4 years ago

What is the slope of a line that goes through the points (2,5) and (8, 6)?