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 [tex]\frac{1}{2}[/tex] 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:
[tex]Area_{triangle}[/tex] - [tex]Area_{circle}[/tex]
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:
[tex]Area_{triangle}[/tex] - [tex]Area_{circle}[/tex]
([tex]\frac{1}{2}[/tex] * base * height) - (π*[tex]r^{2}[/tex])
The given base of the triangle is 40 km, the height 27 km, and the circle's diameter is 12. Therefore:
([tex]\frac{1}{2}[/tex] * 40 * 27) - (π * [tex](\frac{12}{2})^{2}[/tex])
(540) - (π * [tex]6^{2}[/tex])
540 - 36π
Use 3.14 as the value for pi:
540 - 36(3.14)
426.96
Round to the nearest tenth:
427.0
Shaded area = 427 ([tex]km^{2}[/tex])
If you have any questions on how I got to the answer, don't be afraid to ask!
- breezyツ
Please help me out please
Answer:
Your answer is 8.06.
Step-by-step explanation:
Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:
a² + b² = c²
Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.
a is going to be your smallest leg, so in this case a = 4.
b is going to be your longest leg, so it is b = 7.
Now, you don't know what c yet is so you simply write it as:
4² + 7² = c²
Do the exponents.
16 + 49 = c²
Add.
65 = c²
Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.
√65 = √c2
Once you do that, you have your answer!
8.0622577483 = c
Now just simplify and you're done :)
8.06
Might sound hard now but you'll get the hang of it.
what initial value y=16 (0.75)x
Answer:
The initial value is;
y = 16
Step-by-step explanation:
Here, we want to get the initial value of y
Generally, for an exponential function,
we have the form as;
y = a•b^x
where the initial value is the value we have when x = 0
Looking at the given function, substituting x = 0
We have the function as;
y = 16(0.75)^0
y = 16 * 1
y = 16
So the initial value is 16
square root of 10 with work
A company makes storage containers with sheet steel walls. The containers are shaped like rectangular prisms, as shown below. If the company has a total of 944m2 of sheet steel available, how many storage containers can be made?
Answer:
(0.2)+(-8)=0.3+-3+0.3m
Step-by-step explanation:
a frend showed me
Use the figure to identify the correct rule for the
translation,
O (x, y) = (x-3, y + 4)
O(x, y) = (x + 3, y - 4)
(x, y) + (x - 4, y + 3)
(x, y) = (x + 4, y - 3)
Answer:
A) (x,y)--> (x - 3, y + 4)
Step-by-step explanation:
edge
Answer:
a
Step-by-step explanation:
PLEASEEE HELP. ITS REALLY IMPORTANT
Step-by-step explanation:
Hey there!
In (a) part we can see that a person delivers approximately 120 newspapers in 3 hours. Kate will deliver 30 × 3 = 90 newspapers. So, (a) part is the answer.
In (b) part, a person delivers 40 newspapers in 4 hours, Kate delivers 30 × 4 = 120 newspapers. So, Kate is faster, (b) option cancelled.
In (c) a person delivers 110 newspapers in 4.5 hours. Kate will deliver 30 × 4.5 = 135 papers, that's again greater. Option (c) cancelled.
Option (d), we can easily cancel it out. But I'm showing the work; a person delivers 20 newspapers in 4 hours, Kate delivers 30 × 4 = 120 newspapers, much faster than the person.
Hence option (a) is the answer.
Hope it helps :)
y = -3x+ 12
y-intercept:
X-intercept:
Answer:
x= 4
y= 12
Step-by-step explanation:
i hope this helps :)
all the questions on the picture
first to answer gets best EVERYTHING
Answer:
ur welcome
Step-by-step explanation:
A. 729.1
b. 243.04
c. 60.76
Answer:
729.172.917.291Step-by-step explanation:
72910÷100=729.172910÷1000=72.9172910÷10000=7.2919. Lines A and B are parallel lines. Find the measures of angles 1, 2 and 3.
Answer:
<1 = 33
<2 = 90
<3 = 57
Step-by-step explanation:
<3 = 57 because of alternate interior angles
<2 + <3 + 33 = 180
<2 + 57 + 33 = 180
<2 + 90 = 180
<2 = 90
<1 + <2 + 57 = 180
<1 + 90 + 57 = 180
<1 + 147 = 180
<1 = 33
For each pair of triangles, select the postulate you can use to prove the triangles are congruent. If the triangles can not be proven congruent, choose "N/A" Note: Some postulates might not be used.
Answer:
yo
Step-by-step explanation:
like this
PLEASE HELP!!
Find the length of the diagonal of the rectangle. Round your answer to the nearest tenth.
Answer:
d = 15.8 m
Step-by-step explanation:
Apply the Pythagorean Theorem to find the length of the diagonal. The correct equation for this particular rectangle is
d = √(9² + 13²) = √250 = √25·√10 = 5√10
To the nearest tenth, this comes to d = 15.8 m
Answer: 15.8
Step-by-step explanation:
A circle with centre O has a radius of 6.2 cm.
AB is a diameter of the circle.
ABCD is a square.
Calculate the area of the shaded region.
You must show all your working.
Answer:
it could either be 10.781 or 65.6, if not either of em then iam truly very sorry
Step-by-step explanation:
PLEASE HELP SUPER URGENT
Brandon plowed snow from 84 driveways in 7 days. He plowed the same number of driveways each day. Tell whether
the statement is True or False.
If Brandon continues at the same rate, he will plow 120 driveways in 12 days.
The whole statement is true.
Some of the statement is false.
Answer:
Some of the statement is false.
Step-by-step explanation:
84 driveways / 7 days = 12 driveways per day.
12 driveways x 12 days = 144 driveways
Write each percent as a decimal.
Draw a diagram or number line to
illustrate each percent.
a) 120% b) 250% c) 475%
d) 0.3% e) 0.53% f) 0.75%
Answer:
1.20 2.50 4.75 0.003 0.0053 0.0075
Step-by-step explanation:
Divide each percent by 100 to get the decimal form.
Sorry for not showing a diagram, but I hope this helps!
х+ Зу = -14
-4x-3y = 2
Help please
Answer:
(x. y)= (4,-6)
Step-by-step explanation:
1 pts
Question 20
The population of a town is increasing at 6.2% per year. The city
council believes they will have to add another elementary school
when the population reaches 100,000. If there are currently
76,000 people living in the town, how long until a new
elementary school is needed. Round to the nearest tenth.
Answer:The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary …
Step-by-step explanation:
Long until a new elementary school needed is 9.6.
How to estimate compound interest?Given:
Interest rate, r = 6.2% or 0.062
Amount, A = 100000
Principle, P = 76000
As we know,
[tex]$\Rightarrow A=P\left(1+\frac{r}{100}\right)^{n}$$[/tex]
On substituting the values, we get
[tex]$&\Rightarrow 100000=76000\left(1+\frac{6.2}{100}\right)^{n} \\[/tex]
[tex]$&\Rightarrow(1+0.062)^{n}=\frac{100}{76}[/tex]
On taking log both sides, we get
[tex]$&\Rightarrow n \log _{c}(1.062)=\log _{c}\left(\frac{100}{76}\right) \\[/tex]
[tex]$&\Rightarrow \quad n=\frac{\ln \left(\frac{100}{76}\right)}{\ln (1.062)}[/tex]
By putting the values of log, we get
[tex]$\Rightarrow \quad=4.5622$[/tex]
[tex]$\Rightarrow \quad=4.6[/tex]
Therefore, the correct answer is 4.6.
To learn more about compound interest
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PLEASE HELP ME !!
If you put $375 into a savings account that pays 6% interest compounded monthly, how much money would you have in your account after 3 years?
How much did you earn in interest?
Answer:
$448.76
$73.76
Step-by-step explanation:
We are to calculate the future value with monthly compounding
The formula for calculating future value:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
$375 x ( 1 + 0.06/12)^12 x 3
$375 x (1.005)^36 = $448.76
Interest earned = future value - amount saved
$448.76 - $375 = $73.76
ADVANCED MATHEMATICIANS ONLY
Brianiest for first answer
Like for first answer
5 star for first answer
Answer: it is a
Step-by-step explanation:
Aiden invested $98,000 in an account paying an interest rate of 2 % compounded
continuously. Autumn invested $98,000 in an account paying an interest rate of 2%
compounded quarterly. After 11 years, how much more money would Autumn have in
her account than Aiden, to the nearest dollar?
Answer:
Aiden would have $67 more than Autumn.
Step-by-step explanation:
Aiden compounded continuously, which uses the formula: [tex]P(t)=P_oe^r^t[/tex]
Plugging in what we know about Aiden's investment: [tex]P(11)=98000e^0^.^0^2^*^1^1[/tex]
That gives us: 122115.5196
Autumn invested using regular compound interest, which has the formula: [tex]A=P(1+\frac{r}{t})^n^t[/tex]
Since Autumn's investment is getting compounded quarterly, n=4 because it gets compounded 4 times a year.
Plug in Autumn's investment: [tex]A=98000(1+\frac{0.02}{4})^4^*^1^1[/tex]
That gives us: 122048.5974
Now just subtract the two and round to the nearest dollar:
[tex]122115.5196-122048.5974=66.92215187[/tex]
OR
$67. Aiden would have $67 more than Autumn after 11 years.
Please help me. I have been stuck for 45 minutes
Answer:
See photo.
Step-by-step explanation:
First, you need to find an already complete row, column, or diagonal and find its sum. This is the value that every other row, column, and diagonal needs to add up to. Next, find one that has two values filled in. Add these two numbers. Subtract them from the sum. The number you get is what needs to be in open box of that row/column/diagonal. Then you'll have another with two values, and you do the same thing for that one, and continue.
Example: 0+7+2= 9 so the sum for the left one is 9. you have a column with a 7 and a 3. 7+3= 10. 9-10= -1. then look at the diagonal. you have 2 and 3. 2+3=5, 9-5=4 so 4 is that one. and so on.
can someone help me answer this
Answer:
(x+7)(x-13) so B is the answer
Answer:
B (x+7(x-13)
Step-by-step explanation:
Julio has $150. Each week, he saves an additional $10.Write a function ()that models the total amount of money Julio has after weeks.
Answer:
The function that models the total amount of money Julio has after weeks is:
f(x)=150+10x, where:
x is the number of weeks
Step-by-step explanation:
With the information provided, you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:
f(x)=150+10x, where:
x is the number of weeks
Answer: f(x)=150+10x,
Step-by-step explanation:
What is the mean of the normal distribution shown below?
A normal distribution is shown. The curve peaks at 0.
Group of answer choices
-1
0
3
1
Answer:
zero myyyy duedes
Step-by-step explanation:
Kevin is making trail mix for his hike tomorrow. He has 9
cups of candy coated peanuts, and 2 cups of granola.
How many bags can he make without having any
ingredients left over, but with every bag having the exact
same ratio of peanuts to granola?
Answer:
2
Step-by-step explanation:
math question help pls
Answer:
Negative
Step-by-step explanation:
Hello There!
The points on the scatter plot show some sort of correlation as they are grouped closely enough to create a trend line ( a line drawn where most points are at. )
If you were to draw a line through the points, the line would have a negative slope as most of the points go down from left to right indicating that the correlation is negative
help please not much time!!!!
Answer:
I'm here! This Problem is easy :) The answer is 4
Step-by-step explanation:
2x+10=5x−2
Subtract 5x from both sides
2x+10−5x=−2
Combine 2x and −5x to get −3x.
−3x+10=−2
Subtract 10 from both sides.
−3x=−12
Divide both sides by −3.
Divide −12 by −3 to get 4.
[tex]x=\frac{-12}{-4}[/tex]
x = 4 (D)
8. Fishermen on one boat caught 14 fish in 2.5 hours. At this rate, how many fish will they catch in 10 hours?.
Answer:
56 fish
Step-by-step explanation:
14/2.5=5.6
5.6x10=56
find the value of x *
Answer:
5 2/5 seems right to me
Step-by-step explanation:
filler filler filler
Complete the flow proof below by filling in the reasons for 1, 2, 3, 4, and 5.
To prove that EFGH is a parallelogram, the missing reasons are:
1. Alternate interior angles theorem
2. Reflexive property
3. SAS
4. CPCTC
5. Both pairs of quadrilateral EFGH are congruent, hence, EFGH is a parallelogram.
What is a Parallelogram?A parallelogram is a quadrilateral that has: two pairs of opposite sides that are parallel and congruent
To prove that EFGH is a parallelogram, we have the following proof which consists of the reasons that jsutifes each given statement:
1. ∠FGE and ∠HEG are alternate interior angles, therefore, ∠FGE ≅ ∠HEG based on the alternate interior angles theorem.
2. EG ≅ EG based on the reflexive property of congruence.
3. ΔFGE and ΔHEG have:
two pairs of corresponding congruent sides - EG ≅ EG, and FG ≅ EH
one pair of included congruent angles - ∠FGE ≅ ∠HEG
Therefore, ΔFGE ≅ ΔHEG by SAS.
4. Since ΔFGE ≅ ΔHEG, therefore, FE ≅ HG by CPCTC.
5. In conclusion, since both pairs of quadrilateral EFGH are congruent, then EFGH is a parallelogram.
Learn more about parallelogram on:
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Please, help me in this!! It's very difficult for me. I'm doing assignments in edgeunuity. Please help me in my assignment!!!
Answer:
Inclined plane= 1st option
Wheel and axle= 2nd option
Wedge= 5th option
Pulley= 3rd option
Lever= 4th option