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4 years ago

Angle R and Angle T are complementary. If m of Angle R = 3x and m of Angle T = 2x, what is the value of x?

Mathematics

2 answers:

brilliants [131]4 years ago

5 0

Complementary angle add up to 90. So, we can represent this relationship as an equation. 3x+2x=90. 5x=90. x=18.

Papessa [141]4 years ago

3 0

3x + 2x = 90 (because <R and <T are complentary)

5x = 90

x = 18 Answer

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How to factorize -3pa-9b-18pc

Fed [463]

-3pa - 9b - 18pc

For starters, you know that you can't take away any of the letters from the equation because none of the three have the exact same letter; however, they all have something they can be divided by and that is -3.

It would be -3 instead of just 3 because the equation itself starts with a negative. (you could probably do it anyways with just 3, but you'd end up taking out a negative one, anyways, so what's the point?)

Now, you would have: -3 ( pa + 3b + 6pc )

That is truly all you can take out. So, that would end up being your answer since all you can really do is simplify.

7 0

4 years ago

Help on math please.

Elenna [48]

Answer: When t = 4.25 R(t) = D(t)

This tells you that at 4.25 seconds into their flights, both the Rocket and the Drone were at a height of 20 feet.

Step-by-step explanation: The point where the two graphed lines cross is where the values are equal.

The Drone has been hovering at 20 feet between 2 and 5 seconds. The Rocket passed through that height for a brief (millisecond) time as it was falling back to the ground.

Without grid lines it is my best estimation (using a ruler to create a verticla line from the intersection of the lines to the time scale) that t = 4.25. It is between 4 and 4.5 seconds.

8 0

3 years ago

(1 point) Use the graph below to find exact values of the indicated derivatives, or state that they do not exist. If a derivativ

svetlana [45]

Derivatives can be calculated from graphed functions.

The values of the derivatives are:

The given parameter is:

$\mathbf{h(x) = f(g(x))}$

Start by calculating the equations of f(x) and g(x)

Graph f(x)

The slopes of f(x) are: 3/2 and -3/2

So, the equations are:

$\mathbf{f(x) = \frac{3}{2}x,\ 0 \le x \le 2}$

$\mathbf{f(x) = -\frac{3}{2}x,\ x \ge 2}$

Graph g(x)

The slope of g(x) is: -1/2

So, the equation is:

$\mathbf{g(x) = -\frac 12x}$

For x = 1 and x = 2, we have:

So, we have:

$\mathbf{h(x) = f(g(x))}$

Where:

$\mathbf{f(x) = \frac{3}{2}x\ 0 \le x \le 2}$ and $\mathbf{g(x) = -\frac 12x}$

$\mathbf{h(x) = f(g(x))}$ becomes

$\mathbf{h(x) = \frac{3}{2}(-\frac{1}{2}x)}$

Open brackets

$\mathbf{h(x) = -\frac{3}{4}x}$

Differentiate

$\mathbf{h'(x) = -\frac{3}{4}}$

So:

$\mathbf{h'(1) = -\frac{3}{4}}$

$\mathbf{h'(2) = -\frac{3}{4}}$

For x = 3, we have:

$\mathbf{h(x) = f(g(x))}$

Where:

$\mathbf{f(x) = -\frac{3}{2}x\ x \ge 2}$ and $\mathbf{g(x) = -\frac 12x}$

$\mathbf{h(x) = f(g(x))}$ becomes

$\mathbf{h(x) = -\frac{3}{2}(-\frac{1}{2}x)}$

$\mathbf{h(x) = \frac{3}{4}x}$

Differentiate

$\mathbf{h'(x) = \frac{3}{4}}$

Substitute 3 for x

$\mathbf{h'(3) = \frac{3}{4}}$

Hence, the values of the derivatives are:

$\mathbf{h'(1) = -\frac{3}{4}}$ , $\mathbf{h'(2) = -\frac{3}{4}}$ and $\mathbf{h'(3) = \frac{3}{4}}$

Read more about graphed functions at:

brainly.com/question/11804653

3 0

3 years ago

Read 2 more answers

A random sample of 300 balls hit into play in college baseball games is taken. For each ball hit into play, it is recorded wheth

AlekseyPX

Answer:

Null hypothesis: There is no relationship between direction of the ball and if it resulted in a hit or an out.

Step-by-step explanation:

In this case, the experiment conducted is to determine whether there is any relationship between the direction of the ball and if it resulted in a hit or an out.

A random sample of 300 balls hit into play in college baseball games is taken. For each ball hit into play, it is recorded whether the ball was hit to the left, center, or right of the field, and whether the ball resulted in a hit or an out.

The regression analysis would be used to determine whether there is any relationship between direction of the ball and if it resulted in a hit or an out.

The hypothesis for the regression analysis is defined as follows:

H₀: There is no relationship between direction of the ball and if it resulted in a hit or an out.

Hₐ: There is a significant relationship between direction of the ball and if it resulted in a hit or an out.

5 0

3 years ago

There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without repl

Wewaii [24]

So probility is (disired outcomes) divided by (total possible outcomes) so

1st one is white roses
8 white roses so 8 is disired
total=5+3+8=16
8/16=1/2
then without replacing them
red=5
total possible=16-1 since 1 picked
5/15=1/3
then multiply the probatilities

1/2 times 1/3=1/6
it is a 1 in 6 probability

5 0

3 years ago