3x + 2y = 12 -x + 5y = 13 Solve by elimination Y and x

A right triangle has side lengths 7, 24, and 25 as shown below.

ddd [48]

Answer:

Steps below

Step-by-step explanation:

The value depends on which angle is B, suppose ∠B is the opposite angle of side length 7

sin B = 7/25

cos B = 24/25

tan B = 7/24

if ∠B opposite to side length of 24

sin B = 24/25

cos B = 7/25

tan B = 24/7

4 0

2 years ago

HELP WILL GIVE BRAINLIEST

Mariana [72]

On the 4th question I can’t tell if those are dots or arrows on the line above “AN” when it says “B lies on AN”, if those are 2 dots on the little line don’t check it, if they are 2 little arrows on the line then check the box, but other than that the rest of the checked are right!!

5 0

2 years ago

Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming poo

kolezko [41]

Let x and y be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2x + y = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

x + 3y = 0.25

Solve for x and y. We have

y = 0.25 - 2x ==> x + 3 (0.25 - 2x) = 0.25

==> x + 0.75 - 6x = 0.25

==> 5x = 0.5

==> x = 0.1

==> y = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

4x + 4y = 4 (0.1) + 4 (0.05) = 0.6

meaning they can fill 3/5 of a pool in one hour. If it takes time t to fill one pool, we have

(3/5 pool/hour) (t hours) = 1 pool

==> t = (1 pool) / (3/5 pool/hour) = 5/3 hours

So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.

6 0

3 years ago

Find the value of x.

Ronch [10]

Answer:

65

Step-by-step explanation:

65+50=115

180-115=65

4 0

3 years ago

**30 POINTS** PLEASE SOLVE Write 8x³y³ as the power of a product.

Leno4ka [110]

Answer:

(2xy)³

Step-by-step explanation:

According to the Power Rule of Exponents:

$(ab})^{m} = a^{m}b^{m}$

We can apply the Power Rule of Exponents to the given exponential expression, 8x³y³, by taking the smallest factor that when cubed (or raised to an exponent of 3), will produce the same results as the original exponential expression.

8 is a perfect cube of 2: ⇒ 2 × 2 × 2 = 2³ = 8

The cube of x is x³: ⇒ x × x × x = x³

The cube of y is y³ ⇒ y × y × y = y³

Hence, we can take the least common factors, (2xy) and raise them to the third power:

(2xy)³ = 2³x³y³ = 8x³y³

Therefore, the correct answer is: (2xy)³

6 0

2 years ago