All categories

3 years ago

Find the missing lengths of the sides

Mathematics

2 answers:

SCORPION-xisa [38]3 years ago

8 0

That's a 30-60-90 triangle, so the hypotenuse will always be 2x, the shorter leg will be x and the longer leg will be x√3. In this case, we are given the longer leg and we can deduce that x = 9. So, a = x = 9 and c = 2x = 18. Your answer is A, a = 9 yd, c = 18 yd.

Mandarinka [93]3 years ago

8 0

Answer:

a) a = 9d, c = 18 yd

Step-by-step explanation:

The given triangle is a 30-60-90 triangle. The ratio of the sides of the triangle is 1x: 2x: √3x.

Here the hypotenuse is 2x, the shorter leg is x and the longer leg is √3x.

In given figure, we are given the longer leg.

√3x = 9√3

From this we can find the value of x, which is the shorter leg.

Dividing both sides by √3, we get

x = 9

The shorter side, a = 9 yd

Now let's find the hypotenuse.

Plug in x = 9, in 2x, we get

= 2*9

= 18 yd

The hypotenuse "c" = 18 yd.

So the answer is a) a = 9d, c = 18 yd

You might be interested in

How do you do a ratio tape diagram

sp2606 [1]

15 degrees hope this helps mark as brainliest

7 0

3 years ago

A sheet cake and a birthday cake are both made from the same batter. The sheet cake is in the shape of a rectangular prism that

NISA [10]

Volume of the sheet cake:
V ( prism ) = 12 * 9 * 2 = 216 in³
Volume of the birthday cake:
V ( cylinder ) = r² * π * h = 4.5² * 3.14 * 4 = 254.34 in³
Then we will use the proportion :
216 : 254.34 = 36000 : x
216 x = 254.34 * 3600
216 x = 915,660
x = 915.660 : 216
x = 4,239.17 ≈ 4,240
Answer:
d. 4,240

7 0

3 years ago

Read 2 more answers

Jody is lining the outer edge of her driveway with brick. The driveway is 4 yards long and 3 yards wide. In order for Jody to de

Triss [41]

A) Perimeter I’m 90% sure

I say that becuase if she is lining the OUTER EDGE of her driveway then she would need to know the outside og her driveway which would be perimeter.

8 0

3 years ago

Help how much does Sophie weigh

Artyom0805 [142]

Answer:

Step-by-step explanation:

You take 181-119=62 then 119-74=45 then the last one was 74, to check you add them all together and you should get 181, since sofia was the smallest she is 45lbs

3 0

2 years ago

Assume A, B, C, and D function independently. If the probabilities that A, B, C, and D fail are 0.10, 0.05, 0.10 and 0.20, respe

KIM [24]

Answer:

The probability that the system function is 0.6156

Step-by-step explanation:

We can calculate the chances of two or more independent events by multiplying the chances.

Since the chances of fail are given, to get the chance of pass, we subtract from 1.

Probability that it works = 1 - prob that it fails

For A (probability of fail = 0.10)

Probability that it works = 1 - 0.10 = 0.9

For B (probability of fail = 0.05)

Probability that it works = 1 - 0.05 = 0.95

For C (probability of fail = 0.10)

Probability that it works = 1 - 0.10 = 0.9

For D (probability of fail = 0.20)

Probability that it works = 1 - 0.20 = 0.8

Therefore, the probability that the system function is:

$0.9 * 0.95 * 0.9 * 0.8 = 0.6156$

Approximately, the probability can be written as 0.6 to one decimal place.

3 0

3 years ago