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frutty [35]
1 year ago
11

Find the missing side and angles.

Mathematics
1 answer:
sweet [91]1 year ago
5 0

Answer:

Step-by-step explanation:

This is an equilateral triangle.

The altitude bisects the 60 degree angle, so a=30

b=60 since its an interior angle of the isosceles triangle.

e = 4 since the two triangles formed by the altitude are congruent.

c = 8 since the side length is 4 + 4 = .

f = 4sqrt3 by the properties of 30 60 90 triangles.

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Help ASAP
9966 [12]

Answer:

30.48 cm

Step-by-step explanation:

There are ~ 2.54 centimeters in 1 inch. If the ruler is 12 inches long, multiply 2.54 cm by 12:

12 inches x 2.54 cm = 30.48 cm.

5 0
3 years ago
A motorboat takes 5 hours to travel 100mi going upstream. The return trip takes 2 hours going downstream. What is the rate of th
Temka [501]
The boat went 5hours upstream, let's say it has a "still water" speed rate of "b", it went 100miles... however, going upstream is going against the current, let's say the current has a speed rate of "c"

so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it

now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down  "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker

now, recall your d = rt, distance = rate * time

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&100&b-c&5\\
downstream&100&b+c&2
\end{array}
\\\\\\
\begin{cases}
100=(b-c)5\\
\qquad \frac{100}{5}=b-c\\
\qquad 20=b-c\\
\qquad 20+c=\boxed{b}\\
100=(b+c)2\\
\qquad 50=b+c\\
\qquad 50=\boxed{20+c}+c
\end{cases}

solve for "c", to see what's the current's speed

what's "b"?  well 20+c = b
4 0
2 years ago
Two cubes are shown. If the side length of each cube is 3 feet, what is the total volume of the two cubes?
slega [8]

Answer:

12

Step-by-step explanation:

4 0
2 years ago
Raul spent b dollars for lunch. Dolly spent 1/3 of the amount that Raul spent. If c represents the amount dolly spent, express c
Andru [333]
The following problem could be expresses as 

c=1/3b     or     3c=b


4 0
3 years ago
PLEASE I NEED HELP
klemol [59]

Answer: 0.25 feet


Step-by-step explanation:

Given: Jonathon has paper strips that are all equal in length.

Let x be the length of each paper strip.

Since John lines them up end to end, the length of the line of paper strips= 3 feet

Also total strips used= 12

Therefore, length of line of strips=12x=3\ feet

\\\Rightarrow\ x=\frac{1}{4}\ feet\\\Rightarrow\ x= 0.25\ feet

hence, if Jonathan is correct then the length of each strip will be 0.25 feet.


8 0
2 years ago
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