Answer: 108π inches squared
Step-by-step explanation:
Formula : Area of sector = [tex]\dfrac{\theta}{360^{\circ}}\times\pi r^2[/tex]
where , r= radius and [tex]\theta =[/tex]
Given : A certain car's windshield wiper has a total length of 22 inches. As the wiper pivots it clears a sector with a central angle of 120 degrees.
If only 18 inches of the wiper cleans the windshield, then we take radius of the range of wiper cleaining = 18 inches
The area of the windshield that is wiped during each swing = Area of the sector made by wiper of with a central angle of 120 degrees.
[tex]=\dfrac{120}{360}\times\pi (18)^2\\\\=\dfrac{18^2}{3}\pi=\dfrac{18\times6}{1}\pi=108\p\text{ inches}^2[/tex]
Hence, the area (in exact form) of the windshield that is wiped during each swing is 108π inches squared.
To make sandwiches for a picnic, Amy buys 1 loaf of bread for $4.19 and 4 pounds of turkey at $6.95 per pound. Amy calculates the total cost as $31.99.
Which equation best shows whether or not Amy’s estimate is reasonable?
It is reasonable because 4 + 1 + 4 × 6 = 29.
It is reasonable because 4 + 4 × 7 = 32.
It is not reasonable because 4 + 1 + 4 + 6 = 15.
It is not reasonable because 4 + 4 × 7 = 56.
PLEASE AWNSER ASAP I WILL GIVE BRAINLIEST
Answer:
I am sure it is because 1×$4.19+4×$6.95=$31.99. do it yourself. you will see.
What are the numbers of pi
Answer: 3.14
Step-by-step explanation: it goes on forever but that is what most people use to calculate with
The equation of the circle with center (3, -2) and radius 7 is
(X blank) + (y blank)
Answer:
Step-by-step explanation:
(x-3)^2 + (y+2)^2 = 7^2
Answer:
[tex] (x - 3)^{2} + { (y + 2)^{2} = 49[/tex]
Step-by-step explanation:
Center of the circle = (3, - 2) = (h, k)
Therefore, h = 3, k = - 2
Radius r = 7
Equation of circle in centre radius form is given as:
[tex](x - h)^{2} + {(y - k)}^{2} = {r}^{2} \\ \therefore \: (x - 3)^{2} + { \{y - ( - 2) \}}^{2} = {7}^{2} \\ \red{ \boxed{ \bold{\therefore \: (x - 3)^{2} + (y + 2)^{2} = 49}}}[/tex]
3. Given the following functions f(x)=sinx and g(x)= cosx, find the value of each of the following.
a. (f+g) ( 30)
b. (f*g)(TT/4)
Answer:
Step-by-step explanation:
NEED HELP ASAP 20 MINUTES LEFT ON TIMER
Simplify:
28x^4 over 27 divided by 20 over 24x^3
Answer:
(56/45)x^7
Step-by-step explanation:
28x^4 20
---------- ÷ ----------- becomes
27 24x^3
28x^4 24x^3
---------- * ----------- if we invert the divisor fraction and then multiply.
27 20
We get: (28)(24)
-------------- x^7
(27)(20)
which reduces to (7)(24) x^7 (7)(8)x^7
--------------- = ------------- = (56/45)x^7
27(5) 9(5)
Answer:
(56/45)x^7
Step-by-step explanation:
28x^4 20
---------- ÷ ----------- becomes
27 24x^3
28x^4 24x^3
---------- * ----------- if we invert the divisor fraction and then multiply.
27 20
We get: (28)(24)
-------------- x^7
(27)(20)
which reduces to (7)(24) x^7 (7)(8)x^7
--------------- = ------------- = (56/45)x^7
27(5) 9(5)
Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone?
Answer:
42.42in³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
Step one
We know that the volume of a cone is
V= 1/3πr²h
Given data
Diameter d= 6 inches
Radius r= diameter/2= 6/2= 3 inches
Height h = 4.5 inches
Step two
Substituting our given data we have
Volume = 1/3*3.142*3²*4.5
V= 1/3*3.142*9*4.5
V= 127.251/3
V= 42.42in³
What is the domain of the function y = log(x +
3)?
(-0,00) (-0,00)
(-00,-3)
(0,00)
(-3,00)
DONE
Answer:Find the domain of y = log(x + 3)
Logarithms can only be taken for positive numbers. So you must have
x + 3 > 0
x > – 3 ✔
So the domain of the function is
D = {x ∈ R: x > – 3}
or using the interval notation
D = (– 3, +∞)
I hope this helps :).
The circumference of a circle is 9.58. Find the length of the diameter. Give your answer to 2DP
Answer:
d≈3.05
Step-by-step explanation:
d= C/π
d=9.58/π
d≈3.04941
d≈3.05
Parallel lines t and u are cut by two transversals, r and s, which intersect line u at the same point.
What is the measure of angle 2?
25°
42°
46°
88°
Answer:
42
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
hope this helps!
What are the solutions to the quadratic equation x? - 16 = 0?
N
OX= 2 and x = -2
O X= 4 and x = -4
O x = 8 and x = 8
OX= 16 and x = -16
Answer:
[tex]x^2 = 16[/tex]
[tex]x = \pm 4[/tex]
Thus the answer is (b)
The solutions to the given quadratic equation are +4 and -4. Therefore, the option B is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given quadratic equation is x²-16=0.
Now, x²=16
x=±√16
x=±4
x=+4 or x=-4
Therefore, the option B is the correct answer.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
#SPJ7
15 POINTS + BRAINLIEST
box plot question
Answer:
D
Step-by-step explanation:
a. The median, or line in the middle, is the same for both
b. This is the start to end of the box. For the top one, we have 39-33=6. For the bottom one, we have 36-30=6. These are the same.
c. The range is the highest minus the lowest value. For the top one, this is 41-31=10. For the bottom one, this is 38-28=10. These are the same.
This leaves D as our answer
the measure angles of a hexagon are 4x,5x,6x,7x,8x,and9x calculate the size of the smallest angle
Answer:
Step-by-step explanation:
Sum of interior angles of polygon = (n -2) * 180
Sum of interior angles of hexagon = (6-2)*180 = 4* 180 = 720
4x + 5x +6x +7x + 8x +9x = 180
39x = 180
x = 180/39
x=4.61
Smallest angle = 4x = 4*4.61 = 18.44
Which number is greater?
A. 3.33 x 10^7
B. 2.34 x 10^5
Answer:
3.33times 10^7 because when it is possible to substract 2.24times10^5 from it
Answer:
Answer: A) 3.33 x 10⁷
Step-by-step explanation:
A is the correct answer because you're adding 7 to the left. Whereas for B, it's only 5 times, and the number is less than 3.33.
3.33 ⇒ 33.3 ⇒ 333 ⇒ 3330 ⇒ 33300 ⇒ 333000 ⇒ 3330000 ⇒ 33300000
2.34 ⇒ 23.4 ⇒ 234 ⇒ 2340 ⇒ 23400 ⇒ 234000
I hope this helps!
Which rules could describe the rotation? Select two options
A salsa recipe uses green pepper, onion, and tomato in the extended ratio 2 : 5: 9. How many cups of onion are needed to make 160 cups of salsa?
Answer:
50 cups
Step-by-step explanation:
So rewrite the ratio to be 2x : 5x : 9x
16x = 160
x = 10
5 * 10 = 50
This is only right if the 5 in the ratio is for onions.
Sample space of S{A, B, C, F, G, M, T, Z}, subset A{A, G, M}, subset B{A, B, F, G, T, Z). Determine AUB.
AUB means combination of elements in A and B without writing one element twice
AUB={A,B,F,G,M,T,Z}
Aiden buys six packs of baseball cards. Each pack contains nine baseball cards. He already has 242 baseball cards at home. Is it reasonable (does it make sense) to say that Aiden has around 300 baseball cards now? Why or why not?
Step-by-step explanation:
No of packs = 6
Cards in a pack = 9
Total cards = 9 x 6 = 54
what’s 3х + 7>4х +2
Answer:
[tex]x < 5[/tex]
Step-by-step explanation:
[tex]3x + 7 > 4x + 2 \\ 7 - 2 > 4x - 3x \\ 5 > x[/tex]
[tex]x < 5[/tex]
In your own words, say what a rational number is. Give at least three different examples of rational numbers.
HELP ME ASAP I AM GIVING BRAINETEST
Answer:
1 and 1/6
Step-by-step explanation:
7 / 6 has a greater numerator so simplify to 1 whole and one sixth
How long is the wire that supports the tree?
Answer:
¿Qué alternativas habrías planteado para evitar la expansión de las guerrillas en todo el territorio colombiano?
Answer:
2.3 ft
Step-by-step explanation:
i looked it up on boogle.
given the following quadratic equation, what is the value of A? 5x^2+8x-4
*5
*2
*8
*4
Answer:
a =5
Step-by-step explanation:
5x^2+8x-4
A quadratic can be written as
ax^2 +bx+c
a=5 b=8 c=-4
Answer:
The value of A is 5
Step-by-step explanation:
Because it is written in a quadratic equation
A yearbook staff has 30 members. In how many different ways can an editor, photographer, designer, and advisor be selected?
Answer:
the answer is 30 different ways
Step-by-step explanation:
How do you answer the picture below?
Answer:
42cm²
Step-by-step explanation:
because if the perimeter of the rectangle is 28 then the length is 5, 5 - 11 = 6, the formula for finding the trapezium is to add the 2 parallel sides, half them, then times them with the length so your sum will look like this, 5+9=14, (i knew the other side was 9 as the length of AB is the same as the length of FC, which is the one of the parallel sides of the trapezium) then we do 14÷2=7, finally we times 7 by 6 which is 42cm²
Your committee is voting on their logo. There are 7 possible logos and
you are to rank your top 3 logos. How many different combinations of 3 logos can you create?
Answer:
21
Step-by-step explanation:
3x7=21 possible combinations
Factorise fully
x^3-x
Answer:
x(x + 1)(x - 1)
Step-by-step explanation:
[tex] {x}^{3} - x \\ = x( {x}^{2} - 1) \\ x(x + 1)(x - 1) \\ [/tex]
helpp plzzz pt.3 yeahh
AB = 4.5
Step-by-step explanation:
We can cross multiply the sides in order to find the length of AB. Make sure you don't go diagonal, so you can't do 3/6. You can do 3/4 and 3/x, then match it to the same pattern.
This is the one I chose...
[tex]\frac{4}{3} =\frac{6}{x}[/tex]
Notice how I put them in the same order.
Now we can cross multiply...
[tex]4*x[/tex]
= 4x
[tex]6*3[/tex]
= 18
[tex]4x=18[/tex]
Divide by 4.
x = 4.5
The length of AB is 4.5.
Find the slope and y-intercept of the line represented by each table.
Ari thinks the perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream. Freeze Zone makes batches of milkshakes with 6 ounces of caramel and 8 scoops of ice cream.
What will Ari think about Freeze Zone's milkshakes?
Choose 1 answer:
A
They have too much caramel.
B
They have too little caramel.
C
They are just right.
Plsss help (Cuz i'm dumb:D) Calculate the surface area of the prism below, shape below