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iragen [17]
3 years ago
6

Liam is paid $25/hr at full rate, and $18/hr at a reduced rate. The hours of work are paid at a ratio of 3:1, full rate : reduce

d rate. For example, if he worked 4 hours, he would be paid 3 hours at full rate and 1 hour at reduced rate. Calculate his pay for 6 hours of work.
Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

Answer:

4h30min full rate and 1h30 min reduced rate

So, for 6h of work Liam is owed $ 9×25/2+3×18/2=225/2+32=144.5

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A sea bird is28 meters above the surface . what is its elevation?
SashulF [63]
The answer is 28 meters
4 0
3 years ago
Find the lengths of the sides of the triangle PQR. P(2, −3, −4), Q(8, 0, 2), R(11, −6, −4) |PQ| = Incorrect: Your answer is inco
Aloiza [94]

Answer:

the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle

Step-by-step explanation:

Hello, I think I can help you with this

If  you know two points, the distance between then its given by:

P1(x_{1},y_{1},z_{1} ) \\P2(x_{2},y_{2},z_{2})\\\\d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1}  )^{2}+(z_{2}-z_{1} )^{2} }

Step 1

use the formula to find the length PQ

Let

P1=P=P(2, −3, −4)

P2=Q=Q(8, 0, 2)

d=\sqrt{(8-2)^{2} +(0-(-3))^{2}+(2-(-4))^{2}} \\ d=\sqrt{(6)^{2} +(3)^{2}+(6 )^{2}}} \\d=\sqrt{36+9+36}\\d=\sqrt{81} \\d=9\\

the length PQ is 9 units

Step 2

use the formula to find the length QR

Let

P1=Q=Q(8, 0, 2)

P2=R= R(11, −6, −4)

d=\sqrt{(11-8)^{2} +(6-0))^{2}+(-4-2 )^{2}}  \\\\\\d=\sqrt{(3)^{2} +(6)^{2}+(-6 )^{2}}} \\d=\sqrt{9+36+36}\\d=\sqrt{81} \\d=9\\

the length QR is 9 units

Step 3

use the formula to find the length PR

Let

P1=P(2, −3, −4)

P2=R= R(11, −6, −4)

d=\sqrt{(11-2)^{2} +(-6-(-3)))^{2}+(-4-4 )^{2}}  \\\\\\d=\sqrt{(9)^{2} +(-6+3)^{2}+(-4-(-4) )^{2}}} \\d=\sqrt{81+9+0}\\d=\sqrt{90} \\d=9.48\\

the length PR is 9.48 units

Step 4

is it a right triangle?

you can check this by using:

side^{2} +side^{2}=hypotenuse ^{2}

Let

side 1=side 2= 9

hypotenuse = 9.48

Put the values into the equation

9^{2} +9^{2} =9.48^{2}\\ 81+81=90\\162=90,false

Hence, the triangle is not a right triangle

Step 5

is it an isosceles triangle?

In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.

Now side PQ=QR, so this is a isosceles triangle

Have a great day

3 0
3 years ago
2. Which interval notation represents the set of all real
anygoal [31]
B. (2,20] is the correct answer
3 0
3 years ago
139 students choose to attend one of three after school activities: football, tennis or running.
attashe74 [19]
Answer: 29/139

Explanation:

Total student: 139 (66 boys/73 girls)

Football: 56 student (28 boy/28 girl)

Tennis: 54 student (27 boy/ 27 girl)

Running: 29 student (18 girls/11 boys)

The probability that a student chose running is 29/139

5 0
2 years ago
Sarah was cutting fabric for a quilt. She cut a strip of fabric that was 19 1/8 inches long into 5 equal pieces. When she was fi
goldenfox [79]
We need a least common denominator
19 1/8 and 2 1/4 (also = to 2 2/8)
19 1/8-2 2/8= 16 7/8
16 7/8 divided by 5
ANSWER: 3 3/8 in

3 0
3 years ago
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