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Butoxors [25]
2 years ago
11

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Mathematics
1 answer:
pochemuha2 years ago
8 0

Answer:vgabhiahivahivahviahivhivaviahviahivzihvjobsjobjibsjivjobaojbaugvahiavoknaugvaaibhabojaih a ihabojaojbaaij ajbosojbajboaojbasijavijvvjsvjosvsvavaassvssssvs

Step-by-step explanation:

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The distance between two cities on a map is 10 in. The actual distance between the cities is 135. What is the scale on the map?
spayn [35]
The scale on the map is 1 in = 13.5 units


135/10 = 13.5
4 0
3 years ago
Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.
Tems11 [23]

Answer:

The area of the triangle is  \sqrt{3}

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle  ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is  = \frac{1}{2}(base \times height)

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE  = \sqrt{(0-1)^2 + (0-1)^2}

DE =\sqrt{(-1) ^2 + (-1)^2

DE = \sqrt{1+1}

DE = \sqrt{2}

Base = \sqrt{2}

Height is DF

DF =tan(60^{\circ}) \times DE

DF = \sqrt{3} \times DE

DF = \sqrt{3} \times\sqrt{2}

Now, the area of the triangle is

= \frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})

=\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})

=\frac{1}{2}(2\sqrt{3} )

=\sqrt{3}

6 0
3 years ago
Change 45% to a decimal, then a fraction.
ratelena [41]
Decimal Form: 0.45

Fraction Form: 45/100 or 9/20
5 0
3 years ago
Read 2 more answers
The graph below shows the velocity f(t) of a runner during a certain time interval:
Snezhnost [94]
When graphs are plotted, graphs as in the .jpeg image in attachment are obtained.
First graph is line going through ordered pair (point) (0,6) and pair (6,8).
The second graph is line going through ordered pair (6,8) and pair (8,0).
Intercept of these graphs is point (ordered pair) (6,8).
You see from the .jpeg image that the following is true:
Initial velocity of the runner is 6 meters per second (runner starts with this velocity), for a while he runs, velocity grows, then in the 6th second (time=6), runner starts to slow down and velocity starts to decrease, and runner stops totally at time = 8.
So runner stops after 8 seconds.
The 4th claim (sentence) is correct.

3 0
3 years ago
Read 2 more answers
A fish tank that holds 80 gallons of water is 55% full. How many gallons are in the tank now? How many more gallons are needed t
stich3 [128]

Answer:

44 gallons of water.

Step-by-step explanation:

3 0
2 years ago
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