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3 years ago

The triangle shown below has an area of 22 units. Find the missing side.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

the formula for the area of a triangle is base times height divide by two. 22 is half of 44 so the base would have to be 11.

11 (base) times 4 (height) equals 44 divide by 2 equals final answer of 11

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What are the 2 shorter sides of a right triangle called

o-na [289]

A right triangle has two shorter sides, or legs, and the longest side, opposite the right angle, which is always called the hypotenuse. ... The other leg in the right triangle is then called the adjacent side.

Hoping it helps!

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2 years ago

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if j is 21 inches, k is 12 inches, and angle M measures 62 degrees, then find m using the Law is Cosines. round your answer to t

AURORKA [14]

Answer:

18.7

Step-by-step explanation:

The Law of Cosines is $c^2=a^2+b^2-2ab cos(C)$ , where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

$m^2=21^2+12^2-2(21)(12) cos(62)$

Simplify:

$m^2=441+144-504 cos(62)$

$m^2=585-504 cos(62)$

$m=\sqrt{585-504cos(62)}$

m≈18.665...

When rounded to the nearest tenth, m=18.7

6 0

2 years ago

Solve for the equation, show all your work. This is an absolute value equation. You need to show both equations and the work for

VMariaS [17]

Answer:

$x=-1$ or $7$

Step-by-step explanation:

We use casework on when $3x-9=12$ and when $3x-9=-12$ .

For the first case, $3x-9=12$ , we add 9 to both sides to get

$3x=21$ .

Dividing both sides by 3 gives

$x=7.$

For the second case, $3x-9=-12$ , we add 9 to both sides to get

$3x=-3$ .

Dividing both sides by 3 gives

$x=-1$ .

Checking both cases, we plug in $x=7$ and $x=-1$ .

For the first case, we have $|3(7)-9|=|21-9|=|12|=12$ , which satisfies the equation.

For the second case, we have $|3(-1)-9|=|-3-9|=|-12|=12$ , which also satisfies the equation.

This gives us two solutions to the equation; $x=7$ and $x=-1$ .

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2 years ago

You miss 3 out of 10 questions on a science quiz and 4 out of 15 questions on a math quiz. Which quiz has a higher percent of co

EastWind [94]

3 out of 10 quiz because if you divide 3 by 10 it's 0.3 but if you do 4/15 it's 0.26...

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2 years ago

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In his free time, Gary spends 13 hours per week on the Internet and 13 hours per week playing video games. If Gary has five hour

goldenfox [79]

<span>Gary spend 13 hours per week on the Internet and 13 hours on video games Gary has 5 hours of free time each day,
so total free time in a week=> 7*5=35 hours
Now he spends 13+13 hours on the internet and games=28 hours Percentage free time spent on games and internet

26/35 (that is a fraction) x100 =</span><span>74.285714
</span>so round your answer

6 0

3 years ago