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Lisa [10]
3 years ago
10

Select all the equations that have the same solution as the equation 3x – 12 = 24

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0
Your answer will be D and E
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A park ranger at the top of a 700-meter station sees a fair that is 1800 meters from the base of the tower.
IrinaK [193]

Answer:

21.3°

Step-by-step explanation:

tan Ф = 700/1800

tan Ф = 0.39

Ф = tan-1 0.39

Ф = 21.31°

4 0
3 years ago
What is the perimeter of FGHJ?
Solnce55 [7]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
(The choices for the first one is 90 or 180)
creativ13 [48]
1. 180
2. 1&4
3. 1
the answer to the question
7 0
3 years ago
The sides of a parallelogram are 14ft and 16ft. One angle is 41° while another angle is 139°. Find the lengths of the diagonals
Semenov [28]

We will have the following:

First, we have that the problem can be seeing as follows:

Now, knowing this and the the properties of the diagonals we will have that [We use the law of cosines}:

First diagonal [AC} is given by:

\begin{gathered} AC=\sqrt{16^2+14^2-2cos(41)}\Rightarrow AC=10.67193085... \\  \\ \Rightarrow AC\approx10.7 \end{gathered}

So, one of the diagonals has an approximate length of 10.7 ft.

Second diagonal [BD] is given by:

\begin{gathered} BD=\sqrt{16^2+14^2-2(16)(14)cos(139)}\Rightarrow BD=28.10889347... \\  \\ \Rightarrow BD\approx28.1 \end{gathered}

So, the second diagonal has a length of approximately 28.1 ft.

<em>**Diagonals**</em>

\begin{gathered} AC\approx10.7ft \\  \\ BD\approx28.1ft \end{gathered}

7 0
1 year ago
A.The y-intercept of the function is 3.
Marrrta [24]

Answer:

D. The slope of the function is positive.

Step-by-step explanation:

I think the best thing to start with is the slope. Lets figure it out using the slope formula, (y2-y1)/(x2-x1).

Using the points, (-4, -7) and (-3, -4),

(-4 - (-7)) / (-3 - (-4))

= 3 / 1

= 3

Right off the bat, you can see that C is incorrect.

Lets go through the other choices and check now.

Using our slope, lets write an equation in the slope intercept form.

y = -3x + b (derived from y=mx+b)

Now, lets plug in a point (let's say, (-4,-7)) to verify if 3 really is the y intercept.

-7 = 3(-4) + b

-7 = -12 +b

5 = b

Since 3 is not equal to 5, A is incorrect. That leaves us with choice B and D.

We know that the x-intercept is found as (0, a), meaning that this x intercept is (0, 5/3). Let's plug it into the equation!

0 = 3(5/3) + 5

0 = 5 + 5

0 = 10

Since this is obviously incorrect, our answer is D, the slope of the function is positive. Let me know if you have any other questions.

8 0
4 years ago
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