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liq [111]
3 years ago
15

Find x and y on triangleAlso the degree is 30 and the other thing is 7sqrt3​

Mathematics
1 answer:
nydimaria [60]3 years ago
6 0

Answer:

y =7

x =14

Step-by-step explanation:

Since this is a right triangle we can use trig functions

tan 30 = opp /adj

tan 30 = y/ 7 sqrt(3)

7 sqrt(3)  tan 30 = y

7 sqrt(3) * 1/ sqrt(3) =t

7 =y

sin 30 = opp/ hyp

sin 30 = 7/x

x sin 30 =7

x = 7/ sin 30

x = 7 / 1/2

x = 14

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in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.
Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

hypotenuse^2=base^2+perpendicular^2

Use pythagoras formula for triangle PQM.

PM^2=QM^2+PQ^2

PM^2=(6)^2+(8)^2

PM^2=36+64

PM^2=100

PM=10

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

PQ^2=QR^2+PR^2

(8)^2=QR^2+x^2

64-x^2=QR^2                   .....(1)

Use pythagoras formula for triangle MQR.

MQ^2=QR^2+MR^2

(6)^2=QR^2+(10-x)^2

36=QR^2+x^2-20x+100

36-x^2+20x-100=QR^2        .... (2)

From equation (1) and (2) we get

36-x^2+20x-100=64-x^2

20x-64=64

20x=128

x=6.4

Therefore length of PR is 6.4 units and option 4 is correct.

3 0
3 years ago
A delivery company has 18 vehicles in its fleet.
Ilia_Sergeevich [38]

Answer: £1517.04

Step-by-step explanation:

The fuel expenses for the vans will be calculated as:

Vans:

Since the average distance travelled per day is 198km and the average distance travelled per litre is 9km, the van would use:

= 198/9

= 22 litres

Since there are 8 vans, they'll use:

= 22 × 8 = 176 liters

Trucks:

Since the average distance travelled per day is 620km and the average distance travelled per litre is 6.2km, the truck would use:

= 620/6.2

= 100

Since there are 10 trucks, they'll use:

= 100 × 10 = 1000 liters

The amount of liters for both the van and the truck will be:

= 176 liters + 1000 liters

= 1176 liters

The fuel cost will then be:

= 1176 × 1£1.29

= £1517.04

6 0
2 years ago
Marcella bought a 25-ounce bottle of olive for $5.88. She used 60% of the olive in two weeks. Which of the following is the cost
sergij07 [2.7K]
Aprox.$3.52. if you ever need to find the percentage of something you just times it by the fraction. e.g. 60% of 5 = 5x0.6. so all you need to do to figure this out is to find 60% of 5.88 which is  apporxamitely 3.52
3 0
3 years ago
The table shows the data of a random sample of fish that were collected from and later released into a lake.
BlackZzzverrR [31]
The answer is a  thank u
7 0
3 years ago
Read 2 more answers
You earned $204 from your job last week. You have two relatives with birthdays coming up and you want to
horrorfan [7]

Answer: $62

Step-by-step explanation:

From the question, we are informed that someone earned $204 from a job last week and has two relatives with birthdays coming up and wants to

spend the same amount on each of them but still wants to have $80 left.

To calculate the amount of gift spent on each, we have to deduct $80 from $204 firstly. This will be:

= $204 - $80

= $124

This means that the person will spend $124 on both of them, then we divide $124 by 2. This will be:

= $124/2

= $62

The amount spent on each gift will be $62.

7 0
3 years ago
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