Solve 58 - 10x * 20 * 9x.<br> O A rs-2<br> B. X-2<br> C. XS2<br> O D. x22

Help with the 1st one and Second one.

gayaneshka [121]

132 feet per second

And

66 feet in half a second

Your welcome...

6 0

3 years ago

7/13 of the population of a town is female.of the males 2/3 are married,What fraction population consists of unmarried men?

Mariana [72]

Answer:

Step-by-step explanation:

$\frac{7}{13}$ -Female

$\frac{2}{3}$ - Men Married.

$\frac{7}{13} divided by \frac{2}{3} = \frac{7}{13} x\frac{3}{2} = \frac{21}{6} = 3\frac{2}{6} = 3\frac{1}{3}$

Hope this helps :)

3 0

3 years ago

Sandra knows the Pythagorean identity sin 2 ⁡ θ + cos 2 ⁡ θ = 1 . If she is told that 0 ≤ θ ≤ π 2 and cos ⁡ θ = 5 12, what will

slavikrds [6]

Answer:

$\text{tan}(\theta)=\frac{\sqrt{119}}{5}$

Step-by-step explanation:

We have been given that Sandra knows the Pythagorean identity $\text{sin}^2(\theta)+\text{cos}^2(\theta)=1$ . She is told that $0\leq \theta\leq \frac{\pi}{2}$ and $\text{cos}(\theta)=\frac{5}{12}$ .

First of all, we will find value of sine theta using the given identity.

$\text{sin}^2(\theta)+\text{cos}^2(\theta)=1$

$\text{sin}^2(\theta)+(\frac{5}{12})^2=1$

$\text{sin}^2(\theta)+\frac{25}{144}=1$

$\text{sin}^2(\theta)+\frac{25}{144}-\frac{25}{144}=1-\frac{25}{144}$

$\text{sin}^2(\theta)=\frac{144-25}{144}$

$\text{sin}^2(\theta)=\frac{119}{144}$

$\text{sin}(\theta)=\sqrt{\frac{119}{144}}$

$\text{sin}(\theta)=\frac{\sqrt{119}}{12}$

$\text{tan}(\theta)=\frac{\text{sin}(\theta)}{\text{cos}(\theta)}$

$\text{tan}(\theta)=\frac{\frac{\sqrt{119}}{12}}{\frac{5}{12}}$

$\text{tan}(\theta)=\frac{\sqrt{119}*12}{5*12}=\frac{\sqrt{119}}{5}$

Therefore, $\text{tan}(\theta)=\frac{\sqrt{119}}{5}$ .

5 0

3 years ago

Opal makes $15 per hour working for a photographer. She also coaches a competitive soccer team for $10 per hour.

Jlenok [28]

The system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.

The parameters needed to model the inequalities;

amount made by Opal working for a photographer = $15 per hour

amount made in the soccer team = $10 per hour

minimum amount Opal needs to make a week = $90

maximum number of hours Opal needs to work = 20 hours

Let the number of hours Opal works for a photographer = x

Let the number of hours Opal works in soccer team = y

The first system of inequality in the given situation is represented as;

x + y ≤ 20

The second system of inequality in the given situation is represented as;

15x + 10y ≥ 90

Thus, the system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.

learn more here: brainly.com/question/9774970

7 0

2 years ago

10. In right triangle FGH shown below,

Vikki [24]

Applying the leg rule, and solving algebraically, the lengths are determined as:

JG = 9

HJ = 12

The Leg rule states that when an altitude bisects the right angle of a right triangle and intersects the hypotenuse, then, hypotenuse/leg = leg/part.

Find length of JG using algebraic solutions and the leg rule:

Let JG = x

Hypotenuse = x + 16

Leg = 15

Part = x

Therefore:

(x + 16)/15 = 15/x (leg rule)

Cross multiply

x(x + 16) = (15)(15)

x² + 16x = 225

x² + 16x - 225 = 0

Factorize

(x + 25)(x − 9) = 0

x = -25 or x = 9

The length of JG (x) cannot be negative, therefore, the length of JG = 9.

Find length of JG using algebraic solutions:

Let HJ = y

Based on the altitude theorem, we would have:

y = √(16 × JG)

Substitute

y = √(16 × 9)

y = √(144)
y = 12

Therefore, the length of HJ is: 12.

Learn more about the leg rule on:

brainly.com/question/25016594

5 0

2 years ago

Solve 58 - 10x * 20 * 9x. O A rs-2 B. X-2 C. XS2 O D. x22