Decrease = (original number - new number) / original number .....x 100
decrease = (49 - 22) / 49.....* 100 =
(27 / 49) * 100 =
2700 / 49 = 55% decrease

4 0

3 years ago

3y/5 = 15 the value of y is

LenKa [72]

Step-by-step explanation:

$\frac{3y}{5} = 15 \: cross \: multiply \: you \: have \: 3y = 75 \: which \: is \: 25$

4 0

3 years ago

In ΔPQR, the measure of ∠R=90°, the measure of ∠Q=46°, and RP = 97 feet. Find the length of PQ to the nearest tenth of a foot.

Whitepunk [10]

Answer:

PQ = 134.9 feet

Step-by-step explanation:

sin 46 = 97/PQ

0.7193 = 97/PQ

PQ = 134.85 feet

5 0

2 years ago

Construct a polynomial function with the following properties: third degree, only real coefficients, −3 and 3+i are two of the z

irina [24]

Answer:

$\boxed{-3(x+3)(x^2-6x+10)}$

Step-by-step explanation:

Hello,

As the polynomial has only real coefficients, it means that 3-i is a zero too, because we apply the Conjugate Zeros Theorem.

It means that we can write the expression as below, k being a real number that we will have to identify.

$k(x+3)(x-3-i)(x-3+i)=k(x+3)((x-3)^2-i^2)\\\\=k(x+3)(x^2-6x+9+1)\\\\=k(x+3)(x^2-6x+10)$

And for x = 0, y = -90 so we can write

-90=k*3*10, meaning that k=-3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago