A figure has a vertex at the point (-4, -6) the figure is dilated with the center at the Irgun with a scale factor of 5

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. a permit purchased for 12 months cost

julsineya [31]

let

x--------> the monthly fee

y--------> the administration fee

we know that

$660=y+12x$ --------> equation $1$

$810=y+15x$ --------> equation $2$

Multiply by $-1$ equation $1$

$-660=-y-12x$ ------> equation $3$

Adds equation $2$ and equation $3$

$810=y+15x\\-660=-y-12x\\---------\\ 810-660=15x-12x\\ 3x=150\\ x=50\ dollars$

Find the value of y

$660=y+12x\\ 660=y+12*50\\ y=660-600\\ y=60\ dollars$

therefore

the answer is

the administration fee is equal to $60\ dollars$

4 0

3 years ago

Read 2 more answers

The small submarine is at –1,320 feet in relation to sea level. The submarine needs to be 180 feet below sea level in 60 minutes

alexandr402 [8]

Answer:

The submarine needs to move up, so the rate the submarine needs to move is positive.

3 0

3 years ago

Read 2 more answers

4 Tan A/1-Tan^4=Tan2A + Sin2A

Eva8 [605]

tan(2A) + sin(2A) = sin(2A)/cos(2A) + sin(2A)

• rewrite tan = sin/cos

… = 1/cos(2A) (sin(2A) + sin(2A) cos(2A))

• expand the functions of 2A using the double angle identities

… = 2/(2 cos²(A) - 1) (sin(A) cos(A) + sin(A) cos(A) (cos²(A) - sin²(A)))

• factor out sin(A) cos(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (1 + cos²(A) - sin²(A))

• simplify the last factor using the Pythagorean identity, 1 - sin²(A) = cos²(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (2 cos²(A))

• rearrange terms in the product

… = 2 sin(A) cos(A) (2 cos²(A))/(2 cos²(A) - 1)

• combine the factors of 2 in the numerator to get 4, and divide through the rightmost product by cos²(A)

… = 4 sin(A) cos(A) / (2 - 1/cos²(A))

• rewrite cos = 1/sec, i.e. sec = 1/cos

… = 4 sin(A) cos(A) / (2 - sec²(A))

• divide through again by cos²(A)

… = (4 sin(A)/cos(A)) / (2/cos²(A) - sec²(A)/cos²(A))

• rewrite sin/cos = tan and 1/cos = sec

… = 4 tan(A) / (2 sec²(A) - sec⁴(A))

• factor out sec²(A) in the denominator

… = 4 tan(A) / (sec²(A) (2 - sec²(A)))

• rewrite using the Pythagorean identity, sec²(A) = 1 + tan²(A)

… = 4 tan(A) / ((1 + tan²(A)) (2 - (1 + tan²(A))))

• simplify

… = 4 tan(A) / ((1 + tan²(A)) (1 - tan²(A)))

• condense the denominator as the difference of squares

… = 4 tan(A) / (1 - tan⁴(A))

(Note that some of these steps are optional or can be done simultaneously)

7 0

3 years ago

Solve for < x < 180degrees

Tamiku [17]

Option C: 90° is the value of x.

Explanation:

The given expression is $4+2 \sin x=14-8 \sin x$ for $0^{\circ} \leq x \leq 180^{\circ}$

We need to solve the expression.

Thus, we have,

$4+2 \sin x=14-8 \sin x$

Subtracting both sides by 4, we have,

$2 \sin x=10-8 \sin x$

Adding both sides by 8 sin x, we get,

$10 \sin x=10$

Dividing both sides by 10, we have,

$sin \ x=1$

Taking $sin^{-1}$ on both sides of the equation, we get,

$x=sin^{-1}(1)$

$x=90^{\circ}$

Thus, the value of x is 90°

Hence, Option C is the correct answer.

4 0

3 years ago

Cuanto es un feet en ce centimetros

r-ruslan [8.4K]

How much is 1 foot in 1 centimeters?
First we need to know:
1 foot = 12 inches
1 inch = 2.54 cm
Those are the things that we need to know beforehand.

Then, we can start converting.
= 1 ft * (12 in / 1 ft) * (2.54 cm / 1in)
= 30.48 cm

So 1 foot is just equal to 30.48 cm

4 0

3 years ago