Carla is renting a conoe. It costs $80 for 2 hours and $160 for 4 hours. What is the rate per hour?

Polygon WXYZ has vertices W(−2,−1) , X(−2,3) , Y(0,4) , and Z(0,0) . After a dilation the vertices of the image are W'(−4,−2) ,

Fiesta28 [93]

Answer:

scale factor (k) is 2

Step-by-step explanation:

Look at W and W'. W is (-2, -1), but W' says (-4, -2). 2 x 2 is 4 and 1 x 2 is 2. Both coordinates were multiplied by 2. The same goes for all the other vertices, so it would be k = 2.

8 0

2 years ago

If d = 2, e = -3, f = 6, and g = 12, what is the value of (d + g) - (e + f) ?

natali 33 [55]

Answer:

.....................................

8 0

3 years ago

Please give me the correct answer

Svetllana [295]

Answer:

Plane flies faster

Step-by-step explanation:

Imagine a plane and a bird fly next to each other in a race who do you think has enough energy/fuel to get to the end faster?

4 0

3 years ago

Read 2 more answers

In a circle with a radius of 2.8 cm, an arc is intercepted by a central angle of π5 radians. What is the arc length? Use 3.14 fo

Travka [436]

I just took the quiz and the correct answer is 1.76

4 0

3 years ago

Read 2 more answers

If sin theta = 2/3 and sex theta < 0 , find cos theta and tan theta

FromTheMoon [43]

Answer:

$\displaystyle cos\theta=-\frac{\sqrt{5}}{3}$

$\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

<u>Trigonometric Formulas</u>

To solve this problem, we must recall some basic relations and concepts.

The main trigonometric identity relates the sine to the cosine:

$sin^2\theta+cos^2\theta=1$

The tangent can be found by

$\displaystyle tan\theta=\frac{sin\theta}{cos\theta}$

The cosine and the secant are related by

$\displaystyle cos\theta=\frac{1}{sec\theta}$

They both have the same sign.

The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.

The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.

We are given

$\displaystyle sin\theta=\frac{2}{3}$

Find the cosine by solving

$sin^2\theta+cos^2\theta=1$

$\displaystyle \left(\frac{2}{3}\right)^2+cos^2\theta=1$

$\displaystyle cos^2\theta=1-\left(\frac{2}{3}\right)^2=1-\frac{4}{9}=\frac{5}{9}$

$\displaystyle cos\theta=\sqrt{\frac{5}{9}}=-\frac{\sqrt{5}}{3}$

$\boxed{\displaystyle cos\theta=-\frac{\sqrt{5}}{3}}$

We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.

Now compute the tangent

$\displaystyle tan\theta=\frac{sin\theta}{cos\theta}=\frac{\frac{2}{3}}{-\frac{\sqrt{5}}{3}}=-\frac{2}{\sqrt{5}}$

Rationalizing

$\displaystyle tan\theta=-\frac{2}{\sqrt{5}}=-\frac{2\sqrt{5}}{5}$

$\boxed{\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}}$

5 0

4 years ago