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QveST [7]
3 years ago
12

Shirley is going to have her home painted. Tim"s painting charges $250 plus $14 per hour. Colorful paints charges $22 per hour.

How many hours would the job need to take for Tim's painting to be a better deal?
Mathematics
1 answer:
Advocard [28]3 years ago
5 0

It would take greater than 31.25 hours for Tim's price to be better. So in terms of whole hours it would take at least 32 hours of work for Tim's price to be better.

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Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude
nataly862011 [7]

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

A = 1/2*b*14

b = 2A / 14 -(2)

Then

A = 1/2*c*h

c = 2A / h -(3)

Now, we will use the triangle inequalities:

  • a < b+c

2A/12 < 2A/14 + 2A/h

Solve it and get

h<84

  • b < a+c

2A/14 < 2A/12 + 2A/h

Solve it and get

h > -84

  • c < a+b

2A/h < 2A/12 + 2A/14

Solve it and get

h > 6.46

From all the three inequalities we get:

6.46<h<84

So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.

Learn more about TRIANGLE here brainly.com/question/2217700

#SPJ4

8 0
2 years ago
Is 4 2/3 less than negative 2
adell [148]

Answer:

no

Step-by-step explanation:

-2 is less than 4 2/3

you can check this by looking at a number line

8 0
3 years ago
Read 2 more answers
How would you find x?
Vanyuwa [196]

Answer:

A

Step-by-step explanation:

x=7

8 0
2 years ago
Evaluate each of the following to three significant figures, and express each answer in SI units using an appropriate prefix: (a
Softa [21]

Answer:

a). 4.86\times 10^{-15} m

b). 4.21\times 10^{-2} m³

c). 7.00\times 10^{3} N²

Step-by-step explanation:

In this question we have to convert each option into SI units.

a). 4.86(10^{-6})^{2} mm

= 4.86\times (10^{-12})\times (10^{-3} ) m

= 4.86\times 10^{-15} m

b). (348 mm)³

= (348)^{3}\times (10^{-3})^{3} m³

= 42144192\times 10^{-9} m³

= 4.21\times 10^{-2} m³

c). (83700)^{2}\times (10^{-3})^{2} N²

= 700569\times 10^{4}\times 10^{-6} N²

= 7.00\times 10^{9}\times 10^{-6}N^{2}

= 7.00\times 10^{3} N²

7 0
3 years ago
.Mariam went to the store to buy some apples. The price per pound of the apples is $6 per pound and she has a coupon for $2.25 o
8_murik_8 [283]

Answer:

$15.75

$6p-$2.25

4 0
3 years ago
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