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Brrunno [24]
3 years ago
10

A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the t

riangle to be 8 feet. The area of the logo must be at least 36 square feet. (The logo has to be seen from all the seats.) Write an inequality that describes the possible base lengths (in feet) of the triangle.
Use b for the base length of the triangular logo.

SOMEONE PLS HELP ME! THANK YOU!
Mathematics
1 answer:
Radda [10]3 years ago
3 0

Answer:

b\geq 9

In other words, the base must be at least 9 feet long.

Step-by-step explanation:

The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.

Recall that the area of a triangle is given by:

\displaystyle A = \frac{1}{2}bh

Since we want to area to be at least 36 square feet:

\displaystyle \frac{1}{2}bh \geq 36

We are given that the height is eight feet. Substitute:

\displaystyle \frac{1}{2}(8)b\geq 36

Simplify:

4b\geq 36

Divide both sides by four. Hence, our inequality is:

b\geq 9

In words, this means that the base must be at least 9 feet long.

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The distance between New York City and Boston is 225 miles. The distance between New York City and salt lake is 10 times as far.
yuradex [85]

Answer: 2,250 meters

Step-by-step explanation:

New York City and Boston are 225 miles apart.

New York City and Salt Lak are 10 times the distance of New York and Boston.

This means that New York City and Salt Lake are 10 times 225 miles apart:

= 225 * 10

= 2,250 meters

8 0
3 years ago
Ivy wants to earn at least $800 this week in commission. What is the minimum amount she needs to sell in order to earn $800 if s
zimovet [89]

Answer:

$12,800

Step-by-step explanation:

800÷0.0625=12,800

7 0
3 years ago
In how many ways can 3 letters be mailed in 6 mailboxes if each letter must be mailed in a different box? If the letters are not
meriva

Answer:

Question 1: 120 ways

Question 2: 216 ways

Question 3: 1/36 = 0.278

Explanation:

<u>Question 1: In how many ways can 3 letters be mailed in 6 mailboxes if each letter must be mailed in a different box? </u>

The first letter may be mailed in any of the 6 mailboxes: 6

The second letter may be mailed in any of the other 5 mailboxes: 5

The third letter may be mailed in any of the other 4 mailboxes: 4

According to the fundamental counting principle, the total number of possible outcomes is the product of the possible outcomes for each event.

Thus, the number of ways 3 letters can be mailed in 6 mailboxes, if each letter must be mailed in a different box is 6 × 5 × 4 = 120.

<u>Question 2: If the letters are not necessarily mailed in different boxes, how many ways are there of posting them? </u>

Again, you must use the fundamental counting principle.

This time, since the letters are not necessarily mailed in different boxes, each one can be mailed in 6 boxes, and the total number of ways 3 letters can be mailed is:

  • 6 × 6 × 6 = 216.

<u>Question 3. If the letters are mailed at random, and not necessarily in different boxes, what is the probability that all the letters are put in the same mailbox?​</u>

<u></u>

The probability that all the letters are put in the same mailbox is:

  • number of favorable outcomes / number of total possible outcomes

  • number of favorable outcomes: 6

        This is: the three letters are mailed in the first mailbox, or the three letters in the second mailbox, or the three letters in the third mailbox, or the three letters in the fourth mailbox, or the three letters in the fifth mailbox, or the three letters in the sixth mailbox: 6.

  • number of total possible outcomes: 216 calculated in the question number 2.

  • probability = 6 / 216 = 1/36 = 0.278
3 0
3 years ago
PLEASE HELP ASAP!! Ben worked 6 hours at x dollars per hour. Julie worked 9 hours and earned twice as much as Ben per hour. Phil
krok68 [10]

Answer:

A

Step-by-step explanation:

Given that Ben worked 6 hours at x dollars per hour. That is,

Ben earns = 6x

Julie worked 9 hours and earned twice as much as Ben per hour. That is,

Julie earns = 9 × 2x = 18x

Phil worked 16 hours and earned 3 dollars an hour less than Julie

That is,

Phil earns = 16 × ( 2x - 3 )

= 32x - 48

Total wages = 6x + 18x + 32x - 48

Total wages = 56x - 48

Option A is therefore the best option which is the answer to the question.

4 0
3 years ago
Help me with this question and I will help you
anastassius [24]

Answer:

  x = 3.75 cm

Step-by-step explanation:

If we assume ΔABC ~ ΔXYZ, then ...

  YZ/BC = YX/BA . . . . . . corresponding sides are proportional

  x/15 = 3/12 . . . . . . . . . . . fill in given values

  x = 15(3/12) = 15/4 . . . . . multiply by 15

  x = 3.75 . . . cm

5 0
2 years ago
Read 2 more answers
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