Answers
Answer:
[tex]\large\boxed{41.14 inches^2(2 d.p)}[/tex]
[tex]\large\boxed{41.1inches^2 (1 d.p)}[/tex]
Step-by-step explanation:
Important Information:
Area of a circle= [tex]\pi r^2[/tex]
Area of a triangle= [tex]\frac{base*height}{2}[/tex]
Diameter of a cirlce= [tex]2*radius[/tex]
Method:
The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.
The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.
Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.
The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.
The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).
Step by Step:
1) Multiply 3 by 2.
[tex]3*2=6[/tex]
2) Multiply 6 by 9.
[tex]6*9=54 inches^2[/tex]
3) Divide 54 by 2.
[tex]54/2=27inches^2[/tex]
4) Multiply pi by 3 squared.
[tex]\pi*3^2=28.27 inches^2 (2 d.p)[/tex]
5) Divide 28.27 by 2.
[tex]28.27/2=14.14inches^2 (2 d.p)[/tex]
6) Add 27 to 14.14.
[tex]27+14.14=41.14inches^2 (2 d.p)[/tex]
Related Questions
Solve It! Suppose that you want to create two identical wings for a model airplane. You draw one wing on a large sheet of tracing paper, fold it along the dashed line, and then tract the first wing. How do you know that the two wings are identical?
Answers
Answer:
you copied the other line
Step-by-step explanation:
you drew over the other line and it should be exact
Answer:
Hope this helps ! (OwO)/
Step-by-step explanation:
A line is formed when the paper is flod. Because of this, this helps the paper give an even form so there won't be any troubles. And if, the paper is uneven then the paper plane will be clusmy and fly in a corner. Brainlist? ʕ·ᴥ·ʔ
I need help with this
Answers
Answer:
yes because 96/6 equals 16, and 6x16=96
Step-by-step explanation:
KA-BOOM!!! meh
Answer:
Yes it is
because 96/6 = 16
And if you flip it you'll get the same thing
Step-by-step explanation:
Please help me ASAP I’ll mark Brainly
Answers
Answer:
I can't help if I can't see the question
A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o feet.
• She descends 28.7 feet.
• She then ascends 9.9 feet.
Next, she descends a second time, 92.8 feet.
How many feet must she now ascend to get back to sea level?
Answers
Answer:
111.6
Step-by-step explanation:
92.8+28.7=121.5
121.5-9.9=111.6
-27.375/7.5 plz show explanation
Answers
Answer:
-3.65
Step-by-step explanation:
We use the rules of division
Then we divide
[tex] - (27.375 \div 7.5) \\ - 3.65[/tex]
Answer:
-3.65
Step-by-step explanation:
-27.375/7.5
= - 3.65
Plz mark me Brainliest
Is the answer I put correct? I just wanna check. Tell me if it’s wrong please
Answers
Answer:
no is 100 fluid ounces.
Find the value of x. Show your work with proper statements and notations. D ∈ AC
Answers
Answer:
x=25°
Step-by-step explanation:
Using the "Z rule," m∠DCB has the same value with m∠EAD so they are both x.
Look at D, the other side should be 130° since it'll be 180 when you add 130 and 50.
in our triangle DBC we have 130° and 2x. So 2x = 50 and x=25
Find the restrictions on the variable.
Answers
Answer:
[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]
Step-by-step explanation:
x^2 + 4x - 45
= (x+9)(x-5)
x^2 + 10x + 9
= (x+9)(x+1)
So the fraction goes to
[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].
Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.
C = 7a^4+ + 5a²b2 – 3b^4
D=5a^4 + 7a²b^2 + 3b^4
C - D =
Answers
Answer:
2a^4 +12a
[tex]2 {a}^{4} + 12 { a}^{2} \\ \times \times [/tex]
Answer:
C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]
Step-by-step explanation:
We are given:
[tex]C = 7a^4+ + 5a^2b2 - 3b^4\\D=5a^4 + 7a^2b^2 + 3b^4[/tex]
We need to find C-D.
Finding C-D we actually have to subtract D from C
So, finding C-D
[tex]C-D\\= 7a^4+ + 5a^2b2 - 3b^4-(5a^4 + 7a^2b^2 + 3b^4)\\=7a^4+ + 5a^2b2 - 3b^4-5a^4-7a^2b^2-3b^4[/tex]
Now, combining the like terms.
Like terms are those that have same variables and exponents.
In our case, [tex]7a^4\: and\: 3b^4, 5a^2b^2\: and\: -7a^b^2, -3b^4\:and\:-3b^4[/tex]
[tex]=7a^4 - 3b^4+5a^2b^2 -7a^b^2 -3b^4-3b^4\\=4b^4 -2a^b^2 -6b^4[/tex]
So, we get C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]
Find the area of the figure. Round to the nearest tenth if needed. Enter the number only.
Answers
9514 1404 393
Answer:
215.6 cm^2
Step-by-step explanation:
The top and bottom "wings" are 3.25 cm by 12.25 cm, so each has an area of ...
A = LW
A = (12.25 cm)(3.25 cm) = 39.8125 cm^2
The left and right "wings" are 3.25 cm by 7.25 cm, so each has an area of ...
A = (7.25 cm)(3.25 cm) = 23.5625 cm^2
The middle rectangle is 12.25 cm by 7.25 cm, so its area is ...
A = (12.25 cm)(7.25 cm) = 88.8125 cm^2
Then the total area is ...
area = middle rectangle + 2×side wings + 2×top/bottom wings
= 88.8125 +2(23.5625) +2(39.8125) = 215.5625 . . . cm^2
The area of the figure is about 215.6 cm^2.
Help find the answer?
Answers
Answer/Step-by-step explanation:
4. The product of ⅓ and a => ⅓ × a = [tex] \frac{1}{3}a [tex] or [tex] \frac{a}{3} [/tex]
5. a divided by 3 => a ÷ 3 = ⅓a
6. Subtracting ⅓ from b => [tex] b - \frac{1}{3} = \frac{b}{1} - \frac{1}{3} = \frac{3b - 1}{3} [/tex]
Would appreciate some help thanks
Answers
Answer:
f(8) = -9
Step-by-step explanation:
Substitute 8 in for x.
f(8) = -2(8) + 7
f(8) = -16 + 7
f(8) = -9
1. What does the algebraic representation (x,y) → (x-1, y-2) represent?
A Each point of a figure will translate 1 unit left and 2 units down.
B Each point of a figure will translate 1 unit left and 2 units up
. C Each point of a figure will translate 1 unit right and 2 units up.
D Each point of a figure will translate I unit right and 2 units down.(their is no visual)
Answers
Answer:
A) Each point will translate 1 unit left and 2 units down
Step-by-step explanation:
I got it right in my test Answer A
Find the length of the hypotenuse
Answers
Answer: what’s the problem?
Answer:
a²+b²=c²
Step-by-step explanation:
If you have A and B then you will be able to use them to solve C, this also known as Pythagorean theorem. Again, if you have A and B ypu will be able to plug in your numbers into A and B and solve the equation... But if that is not what you're looking for then I can not solve your problem since there is no work.SOMEONE PLS HELP!! QUICKLY!!
Answers
9514 1404 393
Answer:
x = 2
NK = 16
Step-by-step explanation:
The Pythagorean theorem can be used to find LN:
LN² +LC² = NC²
LN² = NC² -LC² = 65^2 -63^2 = 256
LN = √256 = 16
LN = NK = 16 . . . . each of NM, LN, NK is the inradius, so they are congruent
__
LN = NM = 8x = 16
x = 2
Which of the following statements is true?
Answers
Answer: The y-intercept is 5
Step-by-step explanation:
Determine the approximate value of side A.
Answers
Answer:
A should be 40 if not sorry
Step-by-step explanation:
Answer:
40 is da right answer,you will see little william
What's the correct answer to this math problem?
27.4-3.2×2
Answers
Answer:
21
Step-by-step explanation:
..........................
good luck!!
what is the solution to the inequality 1/4(3x-6) >2(7-x +1
Answers
Answer:
x>70/11
Step-by-step explanation:
To manufacture 30 items, it costs $2700, and to manufacture 50 items, it costs $3200. If x represents the number of items manufactured and y the cost, write the cost function.
a. Y= -25X + 4450
b. Y = 500 X 21,800
c. Y = 0.04X + 3198
d. Y = 25X + 1950
Answers
Answer:
[tex]y = 25x +1950[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (30,2700)[/tex]
[tex](x_2,y_2) = (50,3200)[/tex]
Required
Determine the linear function
We start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]
[tex]m = \frac{500}{20}[/tex]
[tex]m = 25[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 2700 = 25(x - 30)[/tex]
[tex]y - 2700 = 25x - 750[/tex]
Make y the subject
[tex]y = 25x - 750 + 2700[/tex]
[tex]y = 25x +1950[/tex]
father's step is 65cm long while his daughter's step 4dm long. they start walking together. when the father has walk 8 step, his daughter has walked... step
Answers
Answer:
5 steps
Step-by-step explanation:
[tex]65cm \times 8 = 520cm[/tex]
[tex]4dm = 40cm \\ 65 - 40 = 25[/tex]
[tex]25 \times 8 = 200cm \: gap[/tex]
[tex]200 \div 40 = 5[/tex]
Answer:
His daughter has walked 13 steps
Step-by-step explanation:
Unit Conversion
Each step of the father is 65 cm long and each step of his daughter is 4 dm long.
Recalling that 1 dm = 10 cm, then each step of the daughter is 4*10 = 40 cm long.
Now we can compare both measures. When the father has walked 8 steps, this distance is 8*65 = 520 cm, and the daughter has walked 520/40 = 13 steps.
His daughter has walked 13 steps
Pls Help ASAP if you. Can
Answers
thank you
if this helps
Answers
Answer: 8
Step-by-step explanation:
8/2 + 5 =9 in desmos
Please help, don’t understand
Answers
Please help :) Thank you
Answers
Answer:
C
Explanation:
:) hope this helps
Dimas is playing a game that uses a number cube. The sides of the cube are labeled from I to
number cube one time.
Dimas wants to roll a 2 or a 3. He rolls the
What is the probability that he will roll a 2 or a 3?
ОА .
OB
O D. 16
Answers
Answer:
0.333333 or 1/3
Step-by-step explanation:
I hope it is 1 to 6.
2 or 3 is the 2 numbers representing success
P(2 or 3) = 2/6 = 1/3
I don't understand the choices. Can you upload a picture of the question?
Television screens are usually described by the length of their diagonal measure. What would the diagonal measure be for a television whose dimensions are 54 inches by 28 inches?
A) 61 inches
B) 71 inches
C) 81 inches
D) Unable to determine with given data.
Answers
Answer:
A
Step-by-step explanation:
61 inches
Step-by-step explanation:
61inches is answer.. .. ..
Find the sum of 24/5 + 13/9
Answers
Exact Form: 281/45
Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?
Answers
Answer:
b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in .b
Answer:
The other guy is wrong. The correct answer is Option C.
Step-by-step explanation:
It is a translation 2 units left, so (x+2)^2 is what you need here. It shifts up 3 units so that adds +3 on the outside. So f(x) = (x+2)^2 +3 or OPTION C
subtract -3n^2 from -7n^2
Answers
Answer: 4n^2
Step-by-step explanation: -3n^2 - (-7n^2) = -3n^2 + 7n^2= 4n^2. When adding and subtracting the exponents stay the same only the coefficients are subtracted or added