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Zanzabum
3 years ago
14

3. Riley records the number of

Mathematics
2 answers:
zvonat [6]3 years ago
7 0
The seventh grade completed more assignments than sixth and eighth grade did.
Maru [420]3 years ago
7 0

Answer:

the eighth graders completed the fewest assignments.

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Can anyone help me solve these math problems?
Veseljchak [2.6K]

Answer:

  1. x = 2
  2. r = 48
  3. 3536 ft
  4. √10
  5. 10°

Step-by-step explanation:

1. The Pythagorean theorem applies, so the sum of the squares of the legs is equal to the square of the hypotenuse.

  x² + (x+3)² = (√29)²

  2x² +6x +9 = 29 . . . . . . eliminate parentheses, collect terms

  2x² +6x -20 = 0 . . . . . . subtract 29

  x² +3x -10 = 0  . . . . . . . . divide by 2

  (x +5)(x -2) = 0 . . . . . . . . factor

x = -5 or +2 . . . . . . . . . . . . values that make the factors zero (-5 is extraneous)

The value of x is 2.

__

2. Even though the figure is drawn incorrectly the Pythagorean theorem still applies. (The second attachment shows the circle in the right place. The figure is not to scale.)

  14² + r² = (r+2)²

  196 + r² = r² +4r +4 . . . . eliminate parentheses

  192 = 4r . . . . . . . . . . . . . .subtract r²+4 from both sides

  48 = r . . . . . . . . . . . . . . . . divide by 4

The value of r is 48.

__

3. You will recognize that the triangle involving the distance above the ground, the distance along the ground, and the straight-line bullet path is an isosceles right triangle. So, the hypotenuse is √2 times the length of either leg. The path length of the bullet is ...

  (2500 ft)√2 ≈ 3536 ft

__

4. see below for the diagram

The length to the terminal point is found using the Pythagorean theorem:

  d = √(3² +(-1)²) = √10

The distance from the origin to the terminal point is √10 ≈ 3.16.

__

5. Angles "a" and "8a" total 90°, so we have ...

  a + 8a = 90°

  9a = 90° . . . . . . . . collect terms

  a = 10° . . . . . . . . . . divide by 9

The value of a is 10°.

8 0
3 years ago
There are 60 animal exhibits at the local zoo. What percent of the zoo's exhibits does each animal class represent?​
snow_lady [41]

Answer:

30+15+12+3=  60

for mammal 30/60=0.50%

reptile 15/60=0.25%

fish  12/60= 0.20%

bird 3/60=0-05%

i hope that helps

8 0
3 years ago
A flea is sitting on the very tip of the minute hand on a grandfather clock. The minute hand measures 6 inches long. How far doe
12345 [234]
In one day there are 24 hours, and each hour there are 60 minutes, so the minute hand makes 24*60=1440 full circles in one day. For each circle, the tip of the minute hand travels the entire circumference, which is 2*pi*r = 2*pi*(6 inches) = 12*pi inches. Multiplying by 1440 circles per day gives a distance of:
17280*pi inches, or 54,287 inches.
4 0
3 years ago
Kevin and Joaquim had a total of $620. Joaquim had $100 more than Kevin. How much money did Kevin have?
Fantom [35]

Answer:

$260

Step-by-step explanation:

620-100=520 ( to make both of them equal)

520÷2=$260

Hope this helps! Thanks.

6 0
2 years ago
Terrance made a list of his expenses. He is creating a check-off matrix to organize when his bills are due. A check-off matrix i
valkas [14]

Complete the chart  by marking each of the expenses in the correct cell depending on whether the expense occurs montlhy, quarterly, annually, etc. as shown in the chart.

<h3>What is a check-off matrix?</h3>

This is a type of chart that is completed by adding X to the cells. In the case of expenses, check-off matrixes help you to visualize how often every expense occurs, and therefore it can be useful to control or monitor expenses.

This type of matrix often includes:

-Columns with the months of the year or the initals of these. June = J.

-Rows that show the expenses a person has.

<h3>How to do a check-off matrix?</h3>
  1. List the expenses
  2. Make an X in each of the cells that the each expense should occur.
  3. Verify the information once the chart is finished.

Below you can find the complete chart:

Learn more about expenses in brainly.com/question/24803457

#SPJ1

6 0
2 years ago
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