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dlinn [17]
2 years ago
8

Geometry question confused on how to solve this answer

Mathematics
1 answer:
AleksAgata [21]2 years ago
5 0

The acute angles of a right triangle are complementary, so \boxed{m\angle F=34^{\circ}}.

Using right-angle trigonometry, we know that

\cos 56^{\circ}=\frac{26}{DF}\\\\DF=\frac{26}{\cos 56^{\circ}}\\\\\boxed{DF \approx 46.5}

\tan 56^{\circ}=\frac{FE}{26}\\\\FE=26 \tan 56^{\circ}\\\\\boxed{FE \approx 38.5}

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The equation below represents the function p.
svet-max [94.6K]
Answers:

1)Tthe first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) the y-intercept of the function p is greater than the y-intercept of the function q.


Explanation:


1) Value of the functions as x increases.


Function p:

p(x)=  ( \frac{2}{5} )^{x} -3

As x increases, the value of the function is the limit when x → ∞.

Since [2/5] is less than 1, the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 =  -3.

While in the graph you see that the function q has a horizontal asymptote that shows that the limit of q (x) when x → ∞ is - 4.

Then, the first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) y - intercepts.

i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2

ii) The y-intercept of q(x) is read in the graph. It is - 3.

Then the answer is that the y-intercept of the function p is greater than the y-intercept of the function q.

4 0
3 years ago
Identify the slope and y-intercept of y=-5x
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The slope is 5.
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3 years ago
the highest recorded temperature in hawaii is 100 degrees F. The highest recorded temperature in colorado is 18 degrees higher t
PolarNik [594]

Answer:

The highest recorded temperature in colorado is 118 degrees F.

Step-by-step explanation:

We have to model this problem initially.

I am going to call the highest recorded temperature in Colorado x.

The highest recorded temperature in hawaii is 100 degrees F. The highest recorded temperature in colorado is 18 degrees higher than that of hawaii.

This means that x is 18 added to 100. So

x = 100 + 18

x = 118

The highest recorded temperature in colorado is 118 degrees F.

6 0
3 years ago
Mark owes his sister $15. He earned $24 for mowing the grass. He gave 1/6 of his earnings to a local charity and then paid his s
Effectus [21]

Answer:

$5

Step-by-step explanation:

(5/6)*24=20

20-15=5

8 0
3 years ago
What is T.S.A formula of cube , cuboid?
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 (a is the length of the side of each edge of the cube)<span>In words, the surface area of a cube is the area of the six squares that cover it. The area of one of them is a*a, or a<span> 2</span> . Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared.</span>
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3 years ago
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