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uranmaximum [27]

3 years ago

6

A survey of 2400 was given to people who owned a certain type of car, 1080 said they would buy that type of car again. What perc

ent of the people surveyed were completely satisfied with the car.

1 answer:

Archy [21]3 years ago

6 0

Answer: 45% were completely satisfied with the car.

Step-by-step explanation: You have to divide 1080 by 2400 and then change the deciman into a percentage.

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15 + 13d + 12 helpppp

VladimirAG [237]

Answer:

its 13d+27

Step-by-step explanation:

8 0

3 years ago

Which of the following are solutions to the equation sinxcosx = - 1/4

Dafna1 [17]

The equation is given below as

$\sin x\cos x=-\frac{1}{4}$

Recall that

$\begin{gathered} \sin 2x=2\sin xcosx \\ \text{which means that } \\ \frac{\sin2x}{2}=\sin x\cos x \end{gathered}$

Therefore, equating the two-equation, we will have

$\frac{\sin 2x}{2}=-\frac{1}{4}$

cross multiply, we will have

$\begin{gathered} \sin 2x=-\frac{1}{4}\times2 \\ \sin 2x=-\frac{1}{2} \end{gathered}$

Therefore,

we will get the arc sign of both sides in radians to get

$\begin{gathered} 2x=\sin ^{-1}(-\frac{1}{2}) \\ x=\frac{1}{2}\sin ^{-1}(-\frac{1}{2}) \end{gathered}$

In radians, the final answer will be

$\begin{gathered} x=\frac{7\pi}{12}+n\pi \\ \text{and} \\ x=\frac{11\pi}{12}+n\pi \end{gathered}$

Therefore,

The finals answers are OPTION A and OPTION D

3 0

1 year ago

How did u get the z value

Keith_Richards [23]

Answer:

The value Z is a variable.

Step-by-step explanation:

A variable is a letter.

4 0

3 years ago

Question in attachment

denis-greek [22]

Answer:

(a) x + y = 63 OR 3x = 63

(b) 21

(c) 42

Step-by-step explanation:

Let Vijay's age be x and Ajay's be y.

Ajay is <u>twice</u> as old as Vijay

==> Ajay's age = 2 × Vijay's age

==> <u>y = 2x</u>

<h3>(a)</h3>

<u>Sum</u> of their ages = 63

==> x + y = 63

<em>Substituting</em><em> </em><em>2</em><em>x</em><em> </em><em>for</em><em> </em><em>y</em><em>:</em>

==> x + 2x = 63

==> 3x = 63

<h3>(b)</h3>

<em>Solving the above-obtained equation:</em>

<u>==> x = 21</u>

<h3>(c)</h3>

Ajay's age = 2 times that of Vijay

==> y = 2x

==> y = 2×21

<u>==> y = 42</u>

6 0

3 years ago

Does the point (1,√3) lie inside outside or on the circle with a center at the origin containing the point (3,0)? Question 2 opt

IceJOKER [234]

Answer:

Point $\left(1,\sqrt{3}\right)$ lies inside the circle.

Step-by-step explanation:

To determine the point which lies outside the circle, calculate the distance between the points and compare that value with radius of circle.

If d<r point lies inside the circle, d>r point lies outside circle and d=r point is on the circle.

Let O be the center of origin of the circle. So, $O=\left ( 0,0 \right )$ .

Also given that circle contain point $\left ( 3,0 \right )$ . So, $x=3,y=0$

Now equation of circle having center (h,k) is given by the equation,

$\left(x-h\right)^2+\left(y-k\right)^2=r^2$

$h=0,k=0$

Substituting the value,

$\left(3-0\right)^2+\left(0-0\right)^2=r^2$

$9=r^2$

$r=\pm 3$

Now calculate the distance between point $\left(3,0\right)$ and $\left (1,\sqrt{3}\right)$ .

Distance formula between points $\left(x_{1},y_{1}\right)$ and $\left(x_{2},y_{2}\right)$ is given as,

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

Now, $x_{1}=1,y_{1}=\sqrt{3},x_{2}=3,y_{2}=0$

$\therefore d=\sqrt{\left(3-1\right)^2+\left(0-\sqrt{3}\right)^2}$

Simplifying,

$\therefore d=\sqrt{\left(2\right)^2+\left(-\sqrt{3}\right)^2}$

$\therefore d=\sqrt{4+3}$

$\therefore d=\sqrt{7}$

$\therefore d=2.64$

Since r = 3 and d = 2.64. That is, d < r.

So point $\left (1,\sqrt{3}\right)$ lies inside the circle.

5 0

3 years ago