1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddik [55]
3 years ago
13

Help, ive been stuck on this for 2 hours

Mathematics
1 answer:
kramer3 years ago
3 0

This looks super complicated, but it can actually be solved with the application of a couple of area equations.

Let's establish one fact before we start this question that may have been the reason why this was so confusing for you. No matter what kind of triangle, the area will always be \frac{1}{2} times the length of the base times height.

Alright, with that established, let's start trying to solve for the area.

In this question, we seem to have a triangle with a circle shape taken out of it. We are told to find the area of the shaded area.

The overall equation would be:

Area_{triangle} - Area_{circle}

This makes sense, right? If we find the area of the triangle and subtract the area of the circle within it, it should give us the total shaded area.

Now, let's begin solving for said shaded area:

Area_{triangle} - Area_{circle}

(\frac{1}{2} * base * height) - (π*r^{2})

<u>The given base of the triangle is 40 km, the height 27 km, and the circle's diameter is 12. Therefore:</u>

(\frac{1}{2} * 40 * 27) - (π * (\frac{12}{2})^{2})

(540) - (π * 6^{2})

540 - 36π

<u>Use 3.14 as the value for pi:</u>

540 - 36(3.14)

426.96

<u>Round to the nearest tenth:</u>

427.0

Shaded area = 427 (km^{2})

If you have any questions on how I got to the answer, don't be afraid to ask!

- breezyツ

You might be interested in
ILL BRAINLIEST YOU IF YOU GET IT RIGHT PLEASE HELP
soldi70 [24.7K]
The triangle inequality states that in a triangle, any two of the side lengths must add up to a length that is greater than the third. That is, if you have a triangle with sides a, b, and c, then a+b>c, a+c>b, and b+c>a.

In this case, we are given two lengths of a triangle. Let's call those two values a and b, where a>b.

Then we have that c
Now we can also use another inequality, a
Now we can apply these limits to all the individual questions.

1) 13 - 10 < c < 13 + 10. This simplifies down to 3 < c < 23

2) 12 - 5 < c < 12 + 5. This simplifies down to 7 < c < 17

3) 11 - 4 < c < 11 + 4. This simplifies down to 7 < c < 15

Hope it help!
7 0
3 years ago
The Area of a rectangular patio is 5 5/8 square yards,and it's length is 1 1/2 yards.What is the patio's width,in yards?
fgiga [73]
Take both mixed numbers (a whole number plus a fraction) and turn them into improper fractions ( a numerator (top number) bigger than the denominator (bottom number). To do this, multiply the denominator by the whole number, and add the result to the numerator.
5 5/8 will become 45/8
1 1/2 will become 3/2.
Area is length* width, so width would be Area/ length. So 45/8 is the area and 3/2 is the length. Now you have (45/8)/(3/2). To divide fractions, take the second fraction and flip the numerator and denominator, forming the reciprocal (2/3). Now multiply 45/8 and 2/3
The result is 90/24, and simplifying would get 15/4, or 3 3/4. This is the width(or length)
8 0
3 years ago
Sophie Ruth is eating a
Firdavs [7]

Answer:

15 grams

Step-by-step explanation:

There is a 50 gram chocolate bar that contains 30% cocoa. So we are basically finding 30% of 50. We break 30 into 3*10 and 50 into 5*10. 5*3 = 15.

Therefore, there are 15 grams of cocoa in the chocolate bar.

I hope this helps.

6 0
3 years ago
In a certain year the price of gasoline rose by 20% during January, fell by 20% during February, rose by 25% in March, and fell
zavuch27 [327]

Answer:

Fell by 25%

Step-by-step explanation:

+20% January

-20% February (20-20 is zero, so we're back to the original price we started at here)

+25% March

?? April

Currently, we are 25% more than what we had, so to get back to normal, the price needs to go down by 25 percent. This will put us back to zero. Put another way...

+20%-20%+25%-25%=0% (Original Price)

8 0
3 years ago
If x is an odd number, which of the following is also odd? * X + 1, X + 2, 2x + 2 or 3x + 1​
emmainna [20.7K]

Answer:

x+2

Step-by-step explanation:

i put mi x as one so

....that how i get my anwser

5 0
2 years ago
Other questions:
  • Round your answers to the nearest hundredth
    11·1 answer
  • If a data set has more extremely small data values, the distribution is said to be __________________.
    7·1 answer
  • carlos hiked 1 3/4 miles along a nature trail to a fork in the trail. he then hiked 2 1/2 miles along a path that led to a water
    14·1 answer
  • 12 is what percent of 44
    10·2 answers
  • Part D<br> Describe any patterns or trends you noticed when finding the products in part <br> c
    5·1 answer
  • 4 bags of cement do 18m squared how many metre squared can be done with 7 bags
    15·2 answers
  • Milauskasville Middle School's Crazy Hair Club sold tickets to it's "Hair Today, Gone Tomorrow" talent show. A total of 55 ticke
    10·2 answers
  • Inez’s piggy bank has 10 quarters, 6 dimes, 3 nickels, and 2 pennies. What is the probability of Inez picking a nickel out of th
    6·1 answer
  • Rationalizing factor of 3-√5​
    12·1 answer
  • You are on the prom decorating committee and are in charge of buying balloons. you want to use both latex and mylar balloons. Th
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!