All categories

3 years ago

The four angles of a quadrilateral are in the ratio 2:3:5:8. Find the angles

Mathematics

1 answer:

sp2606 [1]3 years ago

8 0

Answer:

Step-by-step explanation: let 2:3:5:8 be 2x,3x,5x,8x respectively .

*angles in a quadrilateral is 360 degree

*2x+3x+5x+8x=360

*18x=360

*x=360/18

*x=20

now substitute x in these:

2x=2x20=40

3x=3x20=60

5x=5x20=100

8x=8x20= 160

so these are the following angles: 40,60,100 and 160

You might be interested in

In a certain country, the true probability of a baby being a girl is 0.479. A mound the next four randomly selected births in th

Alika [10]

Answer:

0.947

Step-by-step explanation:

We are told that the true probability of a baby being a girl is 0.479.

This means that probability of a baby being a boy is;

p = 1 - 0.479

p = 0.521

Now,using binomial probability distribution formula we can solve this problem.

P(X=x) = C(n, x) × p^(x) × (1 - p)^(n - x)

We are told that a mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy.

This is;

P(X ≥ 1) = P(1) + P(2) + P(3) + P(4)

P(1) = C(4, 1) × 0.521^(1) × (1 - 0.521)^(4 - 1)

P(1) = 0.229

P(2) = C(4, 2) × 0.521^(2) × (1 - 0.521)^(4 - 2)

P(2) = 0.3737

P(3) = C(4, 3) × 0.521^(3) × (1 - 0.521)^(4 - 3)

P(3) = 0.27096

P(4) = C(4, 4) × 0.521^(4) × (1 - 0.521)^(4 - 4)

P(4) = 0.0737

Thus;

P(X ≥ 1) = 0.229 + 0.3737 + 0.27096 + 0.0737

P(X ≥ 1) = 0.94736

P(X ≥ 1) ≈ 0.947

6 0

2 years ago

You take out a cash advance of 2,790.00on a credit card with a 3.5% cash advance fee and a 13%apr (adjust for monthly rate) what

tester [92]

Given that the credit card has a 3.5% cash advance fee. The the cash advance fee on a cash advance of $2,790.00 is given by

$0.035\times\$2,790=\$97.65$

Given that the card has an APR of 13%, the value of the cash advance at the end of the month is given by

$FV=2790(1+0.13)^{ \frac{1}{12} } \\ \\ =2790(1.13)^{ \frac{1}{12} }=2790(1.0102) \\ \\ =\$2,818.56$

Therefore, the amount due at the end of the month is given by $2,818.56 + $97.65 = $2,916.21

6 0

3 years ago

Read 2 more answers

Answer of this questions

luda_lava [24]

I only got the answer to 20. Hope this helps!