Help me quick taking a test need it down before 12

Right Thangles & Pythagorean Theorem

weqwewe [10]

The ship Y traveled 240 miles which is option C).

Step-by-step explanation:

It is instructed to use Right Triangles & Pythagorean Theorem in order to find the solution.

So, the right angle has three sides namely, the base, the height and the hypotenuse.

The given data are,

Two ships leave port at the same time.

Ship X is heading due north ⇒ Take it as "height" of the right triangle.
Ship Y is heading due east ⇒ Take it as "base" of the right triangle.

They were 400 miles apart after 8 hours which forms the "hypotenuse" of the right triangle.

Hypotenuse = 400 miles.

Ship X had traveled 320 miles from the port in 8 hours. Therefore,

Height = 320 miles.

To find the miles ship Y traveled in 8 hours :

You can easily find the base of triangle which gives the number of miles traveled by ship Y in 8 hours.

Using Pythagorean Theorem, you can find the base : 

The Pythagorean triplets is (3,4,5).

We know that, in a right triangle, hypotenuse is the largest side of all the three sides.

The hypotenuse is 400 miles ⇒ 5×(80) = 400

The height is 320 miles ⇒ 4×(80) = 320

Then, the base will be 3×(80) = 240 miles.

Therefore, the ship Y traveled 240 miles in 8 hours.

6 0

3 years ago

Help this is due tomorrow

nlexa [21]

Answer:

n = 1.40 (second option)

8 0

3 years ago

Read 2 more answers

You want to buy a new Apple Watch. It costs $279.00, but you have to pay 6% sales tax. How much will the watch cost you with tax

Mazyrski [523]

Answer:

279.06

Step-by-step explanation:

7 0

4 years ago

A box contains eighteen $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill. You blindly reach into the

zubka84 [21]

Answer: $7.70

Step-by-step explanation:

Given : A box contains eighteen $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill.

Total bills = $18+10+8+3+1=40$

We know that probability of any event = $\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

i.e. the probability of getting $1 bills = $P(E_1)=\dfrac{18}{40}=0.45$

Probability of getting $10 bills = $P(E_2)=\dfrac{10}{40}=0.25$

Probability of getting $5 bills = $P(E_3)=\dfrac{8}{40}=0.2$

Probability of getting $20 bills = $P(E_4)=\dfrac{3}{40}=0.075$

Probability of getting $100 bills = $P(E_5)=\dfrac{1}{40}=0.025$

$\text{Expected value =}1\times P(E_1)+5\times P(E_2)+10\times P(E_3)+20\times P(E_4)+100\times P(E_5)\\\\=1\times 0.45+5\times 0.25+10\times0.2+20\times 0.075+100\times 0.025\\\\=7.7$

Hence, the expected value of your draw= $7.70

5 0

4 years ago

Complementary angles are two angles that have measures with a sum of 90°. Angles P and Q are complementary and the measure of an

Pachacha [2.7K]

Answer:

P = 62° Q = 28°

Step-by-step explanation:

Let x = measure of angle Q

then y = measure of angle P

Now x + y = 90 and 2x + 6 = y

Substituting 2x + 6 from the second equation in for y in the first equation, we get x + 2x + 6 = 90 since the two angles are complementary.

3x + 6 = 90

3x = 84

x = 28

y = 2(28) + 6 = 56 + 6 = 62

Check: 28 + 62 = 90

4 0

3 years ago