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2 years ago

Melissa is building

1 answer:

4 0

Melissa is building
a skateboarding ramp by propping the end of a piece of wood on a cinder
block. If the ramp begins 24 inches from the block and the block is 7 inches tall, how long is
the piece of wood?
inches

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Which of the following figures has 90 rotation symmetry?

garik1379 [7]

It would be a rectangle

6 0

3 years ago

The table below represents the function f, and the following graph represents the function g. x -6 -5 -4 -3 -2 -1 0 1 f(x) 8 -2

BigorU [14]

Answer:

Complete the following statements.

The functions f and g have the same axis of symmetry.

The y-intercept of f is greater than the y-intercept of g.

Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.

7 0

1 year ago

Find the percent increase in the price per cheese stick.

BaLLatris [955]

Take the price of the cheese stick then divide that by the old price. you will get a decimal. New divided by old. You should have some decimal that is 1.something. If its a percent increase of 64 percent you'd have 1.64 as the decimal. good luck.

3 0

3 years ago

If the dimensions of a rectangle are A plus 3b and A minus 3b what is the area of the rectangle

tresset_1 [31]

area=legnth times width

we notice this is a special case

(a+b)(a-b)=a^2-b^2

area=(a+3b)(a-3b)=a^2-9b^2

area=a^2-9b^2

5 0

3 years ago

Find the dot product of the position vectors whose terminal points are (14, 9) and (3, 6).

erma4kov [3.2K]

Answer:

Step-by-step explanation:

The formula for the dot product of vectors is

u·v = |u||v|cosθ

where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.

$|u|=\sqrt{14^2+9^2}$ which is $\sqrt{277}$

$|v|=\sqrt{3^2+6^2}$ which is $\sqrt{45}$

I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.

We also need the angle, which of course has its own formula.

$cos\theta=\frac{uv}{|u||v|}$ where uv has ITS own formula:

uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.

uv = 96.

To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:

$cos^{-1}\theta=\frac{96}{111.64676}$ which returns an angle measure of 30.7. Plugging that all into the dot product formula:

$u*v=\sqrt{277}*\sqrt{45}cos(30.7)$ gives you a dot product of 96

6 0

2 years ago