Help, ive been stuck on this for 2 hours
2. Find the area of the shaded region to the nearest tenth.
Answers
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
Related Questions
Mariah is painting the surface of a sculpture in the shape of a square pyramid. The base has side lengths of 32 centimeters. The slant height is 25 centimeters. What is the surface area of the sculpture?
Answers
Answer:
2,624 cm²
Step-by-step explanation:
Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a table. What are the least and greatest weights of the potatoes in the data set?
Answers
The least and greatest weights of the potatoes in the data set are 1/8 and 3/4 respectively.
How to find the least and greatest weight?The weight of the potatoes are:
1/4 = 0.253/8 = 0.3755/8 = 0.6251/2 = 0.53/4 = 0.751/8 = 0.125Therefore, the least weight of the potatoes is 1/8 equivalent to 0.125
The greatest weight of the potatoes is 3/4 equivalent to 0.75
Learn more about fractions:
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*what shape is the cross section
(giving brainliest if correct !)
Answers
Answer:
Pentagon
Step-by-step explanation:
Hope this helps!! :D
help me
1. Circle each relation that is a function.
{(1, 3), (1, 5), (2, 7), (3, 9), (4, 11)}
{(0, 0), ( 21, 21), ( 22, 22), ( 23, 23)}
{(5, 5), (5, 4), (5, 3), (5, 2)}
{(2, 5), (3, 5), (4, 5), (5, 5)}
Answers
Answer:
2 and 4
Step-by-step explanation:
A relation describe a function when for every x is associated one and only one y
1) is not a function because when x = 1 there are two y associated (3 and 5)
2) yes, for the definition of function
3) is not a function because when x = 5 there are four y associated ( 5, 4, 3, 2)
4) yes, because for every x there is only one y associated (is not important if is the same)
Can some also help me with these problems please.
Answers
Answer:
5. ∠1.
6. ∠3.
7. ∠1.
8. 180°.
note: wherever there is a ∠ symbol, it means "angle".
Step-by-step explanation:
5. An exterior angle of the triangle is ∠1.
6. The remote interior angles of the triangle to the exterior angle 1 are ∠2 and ∠3.
7. The sum of the measure of angles 2 and 3 is equal to the measure of ∠1.
8. The sum of the measure of angles 1 and 4 is 180°.
note: wherever there is a ∠ symbol, it means "angle".
At the craft store, Gabby bought a bag of blue and red marbles. She received 63 blue marbles and 21 red marbles. What percentage of the marbles were blue?
Write your answer using a percent sign (%).
Answers
Answer:
75%
Step-by-step explanation:
63+21 = 84
That is the overall amount of marbles, this allows you to get a percentage
63/84 = .75 = 75%
Kaylee drove 50 miles an
hour for 3 hours. How
far did she drive?
Answers
Answer:
150 miles
Step-by-step explanation:
(50 mph)(3 hrs) = 150 miles
Find the valué of x.
Which is the answer?
A.25
B.34
C.27
D.28
Please help:(
Answers
135/ 5x = 27
Answer:
c. 27
Step-by-step explanation:
5x = 135. because they are corresponding angles
5x = 135
x = 135/5
x = 27
Find the area of the shaded region. Round your answer to the nearest hundredth.
Two concentric circles such that the inner circle divides the radius of outer circle into two segments of equal lengths labeled 8 centimeters. The region formed between two circles and one diameter of outer circle is shaded. The diameter makes an arc that measures 180 degrees.
The area is about ??? square centimeters. (if you have another answer you can add me on discord ^LoneLai^#0320)
Answers
Answer:
FIRSTLY GET THE AREA OF THE WHOLE CIRCLE BY USING FORMULA [tex]pi \times r ^2[/tex]THEN AFTER THAT DIVIDE THE AREA BY 2AFTER THAT UR ANSWER WILL COMEPLEASE MARK ME AS BRAINLIEST
Thus the area of shaded region is 301.5 cm^2.
What is circle?"The collection of all points equidistant from a fixed point in a plane is called a circle".
For the given situation,
The radius of the inner circle be r = 8 cm and
the radius of the outer circle be R = 16 cm
The formula to find area of the circle, [tex]A=\pi r^{2}[/tex]
Area of inner circle, [tex]A_{1} =\pi r^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]
⇒[tex]200.96[/tex]
≈[tex]201[/tex]
Area of outer circle, [tex]A_{2} =\pi R^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]16[/tex] × [tex]16[/tex]
⇒[tex]803.84[/tex]
≈[tex]804[/tex]
The shaded region replicates the semicircle. So,
Area of the shaded region [tex]=\frac{A_{2} }{2} -\frac{A_{1} }{2}[/tex]
⇒[tex]\frac{804}{2} -\frac{201}{2}[/tex]
⇒[tex]402-100.5[/tex]
⇒[tex]301.5 cm^{2}[/tex]
Hence we can conclude that the area of shaded region is [tex]301.5 cm^{2}[/tex]
Learn more about circles here
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Find the solutions of 5x^2 -20x +20= 0
Answers
Answer:
x = 2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
5(2)²-20(2)+20=0
20-40+20=0
0=0
what are the factors of -9 that have a sum of 0
Answers
Answer:
3 and -3
Step-by-step explanation:
+3 -3 =0
sum mean adding
a little help would be nice pls
Answers
Answer:
17). x² - 16x + 63 18). 6x² + 16x + 8
Step-by-step explanation:
17). (x - 9)(x - 7)
= x² - 7x -9x + 63
= x² - 16x + 63
18). (3x + 2)(2x + 4)
= 6x² + 12x + 4x + 8
= 6x² + 16x + 8
3 3/4 + 4 5/8 =
with working?
Answers
Answer:
8 3/8
Step-by-step explanation:
y = 100(1.25)
A. Does this function represent exponential
growth or exponential decay?
B. What is your initial value?
C. What is the rate of growth or rate of decay?
help me pls
Answers
Initial is 100
Rate of growth is 1.25
What is the value of 0.75–0.5? Write your answer as a fraction in lowest terms.
the answer is 1/5 thanks :v
Answers
The value of the given expression of subtraction 0.75–0.5, in simplest fractional form is 1/4.
Use the concept of subtraction defined as:
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
The given expression is:
0.75–0.5
After removing the decimal it can be written as,
75/100 - 5/10
Now simplifying it, we get
(75-50)/100 = 25/100
Now convert 25/100 in their simplest form:
Since 25x4 = 100
Therefore,
25/100 = 1/4
Hence,
The simplest fractional value of 0.75–0.5 is 1/4.
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explain why a triangle can't have two right angles
Answers
Answer: They would be a rectangle.
Step-by-step explanation:
2 right angles need at least 4 sides, making it impossible to have a 3-sided 2 right angle triangle.
Otter Experience Boat Tours counted how many otters were seen on their recent tours. 17 otters were seen on Wednesday, 20 on Thursday, 19 on Friday, 29 on Saturday, and 31 on Sunday. Find the mean number of otters. otters
Answers
Answer:
23.2
Step-by-step explanation:
17+20+19+29+31 = 116
116/5 = 23.2 otters seen per day on average.
Answer:
23.2
Step-by-step explanation:
Find the area of the shaped region
Answers
Answer:
Assuming π is represented by 3.14, the correct answer is [tex]50.24m^2[/tex].
Step-by-step explanation:
Because the question is asking for the area of the shaded region, you can ignore the non-shaded versions of the diagram. The formula of finding the area of a circle is [tex]\pi r^2[/tex], where r is the radius of the circle. Since the radius of the shaded circle is [tex]4m[/tex], you can infer that the area of the shaded region would be [tex]4^2 * 3.14[/tex] = [tex]16*3.14[/tex] = [tex]50.24m^2[/tex].
Graph the inequality.
-5x + 2y<2
Answers
What is an equation of the line that passes through the points (-1,3) and
(-1, 6)?
Please no links:)
Answers
Answer:
x = -1
Step-by-step explanation:
Slope = (6-3)/(-1- (-1)
= 3 / 0
- so the line is vertical.
- and as it passes through x axis at x = -1, the answer is x = -1.
calculate it 3⁷×3²÷3³
Answers
Answer:
3^6
Step-by-step explanation:
3^7 × 3^2= 3^9
3^9/ 3^3=3^6
help asap please need answer
Answers
Answer:
is this on edulastic? if you have the option check answer put 12 and let me know if it was right please.
Answer:
about 21.9 ft²
Step-by-step explanation:
area of a half circle = [tex]\frac{\pi r ^{2} }{2}[/tex]
so [tex]\frac{\pi 3^{2} }{2} = 14.13716694[/tex] ft²
are of a square is [tex]bh\\[/tex]
so 6 x 6 = 36 ft²
so the area of the figure would equal the area of the square minus the area of the half-circle
36 ft² - 14.13716694 ft² = 21.86283306 ft² ≈ 21.9 ft²
Complete the flow proof below by filling in the reasons for 1, 2, 3, 4, and 5.
Answers
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.
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operations with functions & compositions
3 ( h(x) ) + j(x)
h(x)= x + 5
j(x) = 2x^2 - 3x + 4
Answers
Answer:
2x^2 + 3x + 16
Step-by-step explanation:
fill it in like this 3 (x + 5) + 2x²- 3x + 4
then solve
Angles T and V are complementary. Angle T has a measure of (2x + 10)°. Angle V has a measure of 48°. What is the value of x?
Answers
40% of the fruits in a bag are mangoes and the remainder is orange. If there are 120 fruits in the bag and 10% of the mangoes are ripe, how many ripe mangoes are in the bag?
Answers
Answer:
15 mangoes are ripe understand ok
What is the area and circumference of the given circle
Answers
Answer:
Area=36π ft or 113.1 ft
Circumfrence= 12π ft or 37.7 ft
Step-by-step explanation:
A=πr^2
r=6
A=36π ft or 113.1 ft
C=2πr
C=12π ft or 37.7 ft
help please thank you sm!!!
Answers
Answer:i think it is 54 degree
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
An angle inscribed in a semi circle measures 90. So that means the third angle measures 36.
Solve the equation. Be sure to check for extraneous solutions
1.√x+5=12
Answers
Answer: 45
Step-by-step explanation:
Answer:
So lets do this the ole fashion way the simple ole 1-step equation
Step-by-step explanation
x=7...........i think.....girl im only a freshman annd apparently ik geometery........so wouldnt it be 7+5=12...........cuh x+5=12........
x=7
I think
There are 300 students in the 9th grade and each student is assigned a locker. The 300 students start down the hall one at a time. The first student opens every locker. The second student closes all the lockers that are multiples of 2. The third student changes the lockers that are multiples of 3 (which means if a locker is closed, they open it. If the locker is open, they close it.) The fourth student changes all the lockers that are multiples of 4. This continues until the 300th student changes the 300th locker. Then, the principal walks down the hall, and changes all the lockers that are prime numbers. At the end, how many lockers will be closed?
Answers
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289
Step-by-step explanation:
The pattern will lead to the answer being all the perfect squares from 1 to 300.
