1) When Samuel goes to school, he has to walk 480 yards east of his house and then 360 yards south to arrive to his school. How far does he have to walk to get to school from his house? If he decides that he will cut his distance by going across a park directly from his house to school how far will he have to walk? By how much is it shorter to go across the park then going around the park?

In your picture, you should have the house, the school, the path from the house to school around the park and path from the house to school across the park. Label the path around the park with their values. Label the path across the park with a variable. The path across the park and the path around the park form a right triangle with the right angle between the two parts of the path around the park. Label the right angle. Since the paths form a right triangle, you can use Pythagorean theorem to find the distance from the house to school across the park. The general Pythagorean formula is a2 + b2 = c2 where a and b represent the legs and c represents the hypotenuse.

Once you find the distance, find out the total distance Samuel has to travel around the park. Then you will be able to find out by how much farther it to go around the park.


2) A 100 feet tower needs an anchor line. For the tower to be stable, the anchor line has to be attached to the top of the tower with its other end on the ground 32 feet from the tower. How long has to be the anchor line for the tower to be stable?

Sketch the picture of the tower, the anchor line and the distance from the tower. You will form a right triangle with the right angle between the tower and the ground. Label the height of the tower and the distance from the tower. Label the length of the anchor line with a variable. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1.


3) You want to buy a new tv. In a store, you see a tv that you like with a diagonal of 20 inches and length of 16 inches. Will this tv fit on a shelf that is 13 inches high?

Sketch the picture of the frame of the tv. Draw the diagonal of the tv. Label the diagonal and the length of the tv. To find out if the tv fits on the shelf, you will have to find the height of the tv. The diagonal of the tv and its length and height form a right triangle with the right angle between the length and the height of the tv. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1. Once you find the height of the tv, explain whether it will fit on the shelf or not and why.

Answer:

3 i think??

Step-by-step explanation:

In the last 20 sets of volleyball, Hailey has scored over 8 points
sets of volleyball that Hailey plays?
3
of the time. What prediction can you make about the next 10
She will score over 8 points 3 times.
B)
She will score over 8 points 4 times.
She will score over 8 points 6 times.
D)
She will score over 8 points 8 times.

Solve the following right triangle. Round to the nearest tenth.

Could I get some assistance with this one? I'm a little stuck. Thank you so much! C:

tell weather the ordered pair is a solution of the equation y=7x;(2,21)

What is the solution to this equation?
2X + 10=28​

Find the indicated term of the given geometric sequence.

a1 = 11, r = 3.4, n = 7

I need help
Please hurry

The price of the sweater was reduced by 40%

If a gold ring has a sale price of $21, what was the original price?
There was a sale that was 30% off.

help. Julie would like to measure the variability among her classmates in her sixth-grade science class. Which of the following questions would help Julie best show the variability among her classmates? O What is the name of your science teacher? O What grade are you in? O What is your height? What school do you go to?​

A group of students were asked the kinds of pets they owned. The data is
represented in the graph below.
Type of Pets
11.1:
Cat Dog Bird Horse
Hamster Other
Formulas
Which statement below does NOT accurately describe the data represented in the graph?
A)
More than 50% of students surveyed own a cat or dog.
Highlight
Time
Remaining
00:19:05
Hide Tools
B)
20% of students surveyed have a hamster.
C)
The mode of the data is cat.
D)
Just over 10% of students have a bird.
?

Josie baked a cake and ate .6 of it. Express this decimal as a percent and as a fraction.

show proof and show work for brainliest

Use the table below to answer the following questions.

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

There are 920 calories in 5 servings. Find the unit rate.

To the nearest tenth of a second, how long will it take the arrow to hit the ground?

28, 22, 16, 10,...
O Arithmetic
O Geometric
O Neither

Can anyone help me with this all i need is an explanation on how to do it?

I need help with this lol

HELP PLS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.​​​​

I need help will mark brainlist

When solving -1/8 (x + 35) = - 7, what is the correct sequence of the operations?

1. multiply each side by -1/8, add 35 to each side

2. multiply each side by -1/8, subtract 35 from each side

3. multiply each side by -8, subtract 35 from each side

4. multiply each side by -8, add 35 to each side​

Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?

Can someone help please ASAP

Find the missing number 15/8 ​

Please help me thank youuuu!​

ou are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 0.59 seconds. You want to get a 95% confidence interval that is only 0.12 in width. How many people do you need to have in your study

What is the approximate value of this logarithmic expression?

A vector v has initial point (5,-2) and terminal point (1, -3). Write v in the form v=ai+bj.​

5/6 plus blank equals to 5/2