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alisha [4.7K]
4 years ago
10

Complete the sentence.

Mathematics
1 answer:
Over [174]4 years ago
5 0

Answer:


Step-by-step explanation:

The horizontal asymtote is when there are no solutions for x, so it is when y = -10.

This is because when y = -10, 0.8^x must be 0, but this is impossible. You can test this by trying 4^x/5^x. It will get super small, but never 0.

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Mai runs around a 400-meter track at a constant speed of 200 meters per minute. How many minutes does it take Mai to complete 4
Margaret [11]

Answer:

8 min

Step-by-step explanation:

4 0
3 years ago
Lines l and k are parallel to each other. A=120 degrees. and C=80 degrees. What is the number of degrees in B??
Aleonysh [2.5K]

Answer:

B = 160°

Step-by-step explanation:

This is how I solved it (I hope the explanation isn't too confusing):

Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC

Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).

So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.

There are 180° in a triangle, so add the two interior angles you know:

30° + 80° = 110°

Then subtract 110° from 180° to find the final interior angle which is:

180° - 110° = 70°.

To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:

90° + 70° = 160°

5 0
3 years ago
Please help me :(<br> Classify each figure as a polyhedron or not a polyhedron. Then name the figure
alexgriva [62]

Answer:

its a semiregular polyhedron and it is an octagonal prism

Step-by-step explanation:

DOUBLE CHECK even tho im almost certain im correct pls double check bestie

7 0
3 years ago
Read 2 more answers
A box of oranges weighs 4 kg. If one orange weighs 80 g, how many oranges are in the boxes?
Katyanochek1 [597]

Answer:

<u>The</u><u>r</u><u>e </u><u>are </u><u>5</u><u>0</u><u> </u><u>oranges </u><u>in </u><u>the </u><u>box.</u>

Step-by-step explanation:

Weight of box = 4 kg = 4000 g

Weight of 1 orange = 80 g

No. of oranges in the box = ?

No. of oranges in the box = Weight of the box / Weight of 1 orange

No. of oranges in the box = 4000 / 80 = <u>50 oranges.</u>

8 0
3 years ago
Read 2 more answers
Please help! "Indicate the equation of the given line in standard form. The line containing the midpoints of the legs of right t
julsineya [31]

Nice. We're not really told which is the right angle. We can tell from the squared distances:


AB^2=(1 - -5)^2 + (1-5)^2=6^2+4^2=52


BC^2=(3-1)^2+(4-1)^2=2^2+3^2=13


AC^2=(3- -5)^2+(4 -5)^2=8^2+1^2=65


We see AC^2=AB^2+BC^2 so B is the right angle.


That was preliminary and probably indicated in an associated figure.


Now we want the line through the midpoint of the legs, AB and BC, in standard form.


The midpoint of AB is the average of the coordinates of A and B:


\left( \dfrac{-5 +1}{2}, \dfrac{5+1}{2} \right) = (-2,3)


The midpoint of BC is


\left( \dfrac{1 + 3}{2}, \dfrac{1 + 4}{2} \right) = ( 2, \frac 5 2)


The line through those points is


(y - 3)(2 - -2)=(x - -2)(\frac 5 2 - 3)


4y - 12 =  (x+2)(- \frac 1 2)


8y - 24 = -x -2


x + 8y = 22


That's the answer. Let's check it.


Midpoint of AB is (-2,3), -2 + 8(3)=22 good.


Midpoint of BC is (2,5/2), 2+8(5/2)=22 good.


\textrm{Answer: } x + 8y = 22


4 0
3 years ago
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