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3 years ago

Cara's new car holds 13.5 gallons of gas. If gas costs $2.98 per gallon, how much would it

Mathematics

2 answers:

Nimfa-mama [501]3 years ago

7 0

Answer:

40.23

Step-by-step explanation:

easy just do 13.5*2.98

bezimeni [28]3 years ago

4 0

Answer:

$40.23

Step-by-step explanation:

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Please answer quickly!!

DiKsa [7]

-14/15+-2v/3+v/3 that is the answer

7 0

3 years ago

Read 2 more answers

Solve for x. Round to the nearest tenth, if necessary.

e-lub [12.9K]

Answer:

$\boxed {\boxed {\sf x \approx 1.9}}$

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

sinθ= opposite/hypotenuse
cosθ= adjacent/hypotenuse
tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is opposite angle S. Side QS, measuring 2.3, is the hypotenuse because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

$sin \theta = \frac {opposite}{hypotenuse}$

θ= 54
opposite= x
hypotenuse = 2.3

$sin (54)= \frac{ x}{2.3}$

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

$2.3* sin (54)= \frac{x}{2.3}*2.3$

$2.3* sin (54)=x$

$2.3*0.8090169944=x$

$1.860739087 =x$

Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

$1.9 \approx x$

x is approximately 1.9

7 0

3 years ago

Write an equation of the line passing through the point A(6,−1)A(6,−1) that is perpendicular to the line y = −2x+8y = −2x+8.

Olegator [25]

So the equation has to pass through (6,-1) and be perpendicular to y = -2x + 8.
The slope is -2, and to get the slope of a line perpendicular to another line you have to find the negative reciprocal of that slope. That means -2 is equal to
-2/1, and if you flip those numbers and find the opposite of that number making it positive, the slope of a line perpendicular to it is 1/2.
But the line also has to pass through (6,-1), so we have to find the y-intercept of the new line.
To do that, you multiply 6(the x) by the 1/2(the slope) and get 3. Then you subtract 3(previous answer) from -1(the y) and get -4. That means the y-intercept is -4!
All that's left is to build the equation with this information. The equation is:
y = -4 + 1/2x
Hope this helps!

3 0

4 years ago

Divide (x3 - 2x² + 6x - 8) by (x - 2) - How can I (x3 - 2x² + 6x - 8) by (x - 2)

Blababa [14]

Answer:

x^2 +6 +(4/(x -2))

Step-by-step explanation:

Polynomial long division works for this. The operations are performed in much the same way as for numerical long division.