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Vsevolod [243]
3 years ago
7

In this figure, a and b areA. verticalB. equalC. complementary.D. supplementary.

Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0
It is a supplementary angle. D because the add up to 180.
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While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0
3 years ago
WRITE AN COMPOUND INEQUALITY FOR THIS SENTENCE
Mila [183]
Hello there!

Write a compound inequality for this sentence: 'w' is less than 4 and greater than or equal to -8
Only use 'w' once.


W is less than four ~ 4 \ \textgreater \ w

W is greater than or equal to -8 ~ w \geq -8

If we were to put this together, it would look like:

4 \ \textgreater \  w  \geq  -8


I hope I helped!

Let me know if you need anything else!

~ Zoe
7 0
3 years ago
You roll two number cubes, what is the probability of rolling two 5’s?
RoseWind [281]

10 i think i don't know how to deleat this so can u?

3 0
3 years ago
How much smaller is x−3 than x+4?
loris [4]

Answer:

Try 1

Step-by-step explanation:

The difference between 3 and 4 is one.

4 0
2 years ago
Read 2 more answers
Meredith's recipe for 2 1/2 dozen cupcakes calls for 3 cups of flour. She only has 1 cup of flour and needs to feed 12 people. C
oee [108]
I am pretty sure the awnser is yes because 2.5 divided by 3 equals .83 repeating which mean for one dozen of cupcakes(12) it would take .84 cups of flour.
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