What is the slope of the line through the points (5, -3) and (2, -1)?

A 12 ounce mixture of window cleaner is 4% alcohol. How many ounces of the mixture is alcohol

nekit [7.7K]

0.48 ounce is alcohol
Because you have to divide 100% from 12 ounces which is equivalent to 0.12 ounces for 1% now you will have to multiply 0.12 x 4% WHICH is 0.48 ounce

6 0

4 years ago

Work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)

aleksandrvk [35]

Answer:

x = 2.41

Step-by-step explanation:

Area formula:

A = 1/2bh

The height is:

h = (x + 2)sin 45° = √2(x + 2)/2

Substitute the area value an set an equation:

4√2 = (2x - 3)√2(x + 2)/2
(2x - 3)(x + 2) = 8
2x² + x - 6 = 8
2x² + x - 14 = 0
D = 1 + 4*2*14 = 113
x = (-1 + √113)/4 = 2.41 (rounded)

Note. the second root ignored as negative

7 0

2 years ago

For which value of theta is sine theta = negative 1?

Ivan

Answer:

1) 270 degrees

2) pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

4 0

3 years ago

Read 2 more answers

Someone please help me !!!

djverab [1.8K]

Answer:

$a.\ \ \ A=684\ m^2$

$b.\ \ \ A=130.2 \ km^2$

Step-by-step explanation:

a. Area is calculated by summing the areas of the prism's individual surfaces.

#First, calculate the areas of the right-angled surfaces:

$Area=2(\frac{1}{2}bh), b=9, h=12\\\\=2\times \frac{1}{2}\times 9\times 12\\\\=108\ m^2$

#We then find the areas of the rectangular surfaces:

$A=lw\\\\=15\times 16+9\times 16+16\times 12\\\\=576\ m^2$

#We sum the areas to find the total surface areas:

$A=\sum{Areas_i}\\\\=108+576\\\\=684\ m^2$

Hence, the prism's surface area is $684\ m^2$

b.Area is calculated by summing the areas of the prism's individual surfaces.

#First, calculate the areas of the right-angled surfaces:

$A=2\times \frac{1}{2}bh,\ b=12, h=4.1\\\\=2\times 0.5\times 12\times 4.1\\\\=49.2 \ km^2$

#We then find the areas of the rectangular surfaces:

$A=lw\\\\=5\times 3+3\times 10+12\times 3\\\\=81\ km^2$

#We sum the areas to find the total surface areas:

$A=A_r+A_t\\\\=81+49.2\\\\=130.2 \ km^2$

Hence, the prism's surface area is $130.2 \ km^2$

5 0

3 years ago

Please help!!!!!!!!!!!!

podryga [215]

Given : Fix amount charges = $200.

Each month additional charge = $50.

Let us assume number of months are taken by x.

So, we can setup a function as

Total charge = Fix charge + each month charge * number of months.

f(x) = 200 + 50*x

Or f(x) = 200 +5x.

Where function f is the total charge of x number of months.

The values of x's represents domain and function value represents range.

According to problem, it is said " first three months".

So, we need to take number of months as x=0,1,2,3.

And we need to find values of function for those x values.

On plugging x=0,1,2 and 3 we would get

f(0) = 200 +5(0) = 200 +0 = 200.

f(1) = 200 +5(1) = 200 +50 = 250.

f(2) = 200 +5(2) = 200 +100 = 300.

f(3) = 200 +5(3) = 200 +150 = 350.

We got function values 200,250,300 and 350.

Therefore, with respect to the given situation, the domain of the funtion is

{0,1,2,3} and Range { 200,250,300, 350}.

6 0

3 years ago