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Ira Lisetskai [31]
2 years ago
10

A person standing on level ground is 2000 feet away from the foot of a 420-foot-tall building, as shown in the accompanying diag

ram. To the nearest degree, what is the value of X?

Mathematics
1 answer:
antoniya [11.8K]2 years ago
7 0

Answer:

12

Step-by-step explanation:

The formula for the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. Therefore, the tangent of angle x is 420/2000=0.21. Taking the arctangent of that to get the angle, you get about 12 degrees. Hope this helps!

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8) How many solutions does the following<br> equation have?<br> 0 = 9x2 - 6x + 1
sweet [91]
I’m guessing it’s 9x^2 -6x + 1 but this is basically just one. (1/3,0) use desmos if you’re curious
4 0
2 years ago
Y=2/3(x-5)^2
Anvisha [2.4K]

Answer:

  see below

Step-by-step explanation:

The graph opens upward if the sign of the squared term is positive. If that sign is negative, the graph opens downward. The first three equations open upward; the last opens downward.

The line of symmetry is the value of x that makes the squared term zero. Here, that is x=5 for all equations.

<u>y=2/3(x-5)^2</u>:  A, D

<u>y=1/2(x-5)^2</u>:  A, D

<u>y=3/4(x-5)^2</u>:  A, D

<u>y=-4(x-5)^2</u>:  B, D

8 0
3 years ago
What is the mean of the following set?<br><br> 34, 31, 32, 38
larisa [96]

Answer:

33.75.

Step-by-step explanation:

The mean = sum of the numbers / the number count

= (34 + 31 + 32 +  38) / 4

= 135 / 4

= 33.75.

7 0
2 years ago
It is given that y is directly proportional to x. When x = 3, y = 18. (a) Find the equation connecting x and y. (b) Hence, find
guapka [62]

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 3, y = 18 , then

18 = 3k ( divide both sides by 3 )

6 = k

y = 6x ← equation of proportion

(b)

(i)

when x = 12 , then

y = 6 × 12 = 72

(ii)

when y = 42

42 = 6x ( divide both sides by 6 )

7 = x

8 0
2 years ago
.
Dahasolnce [82]

Answer:

C (3x4) + (5x2) + 20

Step-by-step explanation:

3 things that cost 4 dollars. 5 things that cost 2 dollars and one that cost 20.

3 0
3 years ago
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