Step-by-step explanation:
Step 1: Convert degrees into radians
[tex]\frac{degrees}{1}*\frac{\pi }{180}[/tex]
[tex]\frac{52}{1}*\frac{\pi}{180}[/tex]
[tex]\frac{52\pi}{180}[/tex]
[tex]\frac{13\pi}{45}[/tex]
Step 2: Find the arc length
[tex]S = r\theta[/tex]
[tex]S=(3)(\frac{13\pi}{45})[/tex]
[tex]S = \frac{39\pi}{45}[/tex]
[tex]S=\frac{13\pi}{15}[/tex]
Answer: Option B
what is the lowest common multiple of 12 and 16
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
A =70 ft^2
Step-by-step explanation:
The area of the triangle is equal to
A = 1/2 bh where b is the base and h is the height
A = 1/2 (20) *7
A =70 ft^2
The local deli sells cheese wheels. Each cheese wheel is a cylinder. The height of the cheese wheel is 2.8 inches and the volume of the cheese wheel is 155.09088 cubic inches. What is the radius of the cheese wheel?
Answer:
4.2 inches when rounded
Step-by-step explanation:
volume = pi(r²)h
155.09088in³ = pi(r²)2.8
÷2.8 ÷2.8
55.3896 =pi(r²)
÷pi ÷pi
17.6310572718 = (r²)
Then you have to square root both sides (I tried to use the radical symbol but it didnt work, sorry :( )
After you square root it you should get
4.1989352545 = r
Answer:
4.2 inches(rounded)
Step-by-step explanation:
Hope im right :)
Please help it’s urgent
Answer:
sin theta = opp/ hypotenuse
Step-by-step explanation:
sin theta = opp/ hypotenuse
cos theta = adj/ hypotenuse
tan theta = opp/ adj
In this case we know the opposite and the hypotenuse
A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?
Answer:
Bronze
Step-by-step explanation:
To know the metal used to produce necklace, we must calculate the density of the necklace. This is illustrated below below:
Mass of necklace = 192g
Volume = 19.5cm^3
Density =...?
Density of a substance is simply defined as the mass of the substance per unit volume.
Density = Mass /volume
Density = 192g / 19.5cm^3
Density = 9.85g/cm^3
Now comparing the density of the necklace with the density of various metals in the table, we can see that the density of the necklace matches that of bronze.
Therefore, the necklace is made of bronze.
The absolute value of three, written as |3|
Answer:
In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
PR5T - 47Y6 = 1998
Answer:
Step-by-step explanation:
Examine the diagram of circle P, where diameter CD¯¯¯¯¯¯¯¯ bisects chord AB¯¯¯¯¯¯¯¯ at point N.
Nestor is about to write a proof that CD¯¯¯¯¯¯¯¯⊥AB¯¯¯¯¯¯¯¯.
Which statements are true?
Select all that apply.
m∠APB=90∘
m∠BNP=45∘
m∠BNP=90∘
m∠ANP=90∘
m∠ANP=60∘
m∠APB=30∘
Answer:
the 3rd on
Step-by-step explanation:
Answer:
m∠BNP=90∘ and m∠ANP=90∘
Step-by-step explanation:
Looking at the diagram these are perpindicular which means they have 90 degree angles.
Derive x and y values from given equations solve for x and y. 6x-2y=8 -6x+5y=7
Answer:
6x -2y = 8
-6x+5y = 7
3y = 15
y = 5
6x - 2(5) = 8
6x - 10 = 8
6x = 18
x = 3
(3, 5)
Step-by-step explanation:
Please help!!
I am giving you half of my points. Just say something as an answer!
Answer: i am so confused lol
Step-by-step explanation:
Answer:
Something
Step-by-step explanation:
First you type shift then s, o, m, e, t, h, i, n, and g
3. What are the lateral area and the surface area of the cone shown below? Round the answers
the nearest tenth. The figure is not drawn to scale.
12 ft
21 ft
LA = 452.4 ft?; SA = 2,598.8 ft?
LA = 452.4 ft?; SA = 1,244.1 ft2
LA=791.7 ft?; SA = 2,598.8 ft2
OLA = 791.7 ft2, SA = 1,244.1 ft2
Answer:
option 4
Step-by-step explanation:
LA = πrl
Here, l ----> slant height
l= 21 ft
r = 12 ft
LA = 3.14*12*21 = 791.7 square ft
SA = πr(l + r)
= 3.14*12 *(12+21)
=3.14* 12 * 33
= 1244.1 square ft
lisa will choose between two restaurants to purchase pizzas for her party. the first restaurant charges a fee of $5 for the entire purchase and $16 per pizza. The second restaurant has no delivery fee and charges $17 per pizza. Please help and hurry
Every time, this second restaurant is less expensive; therefore, Lisa should decide to get pizzas for her group from the second restaurant.
What is the accounting definition of a purchase?All items and services purchased for resale of consumption throughout the production process are included in spending on goods and services, excluding capital goods whose consumption is recorded as consumption for fixed capital.
We have For the first restaurant
the total cost per pizza is $16 + $5 = $21.
For the second restaurant
the total cost per pizza is $17.
If Lisa purchases x pizzas,
the total cost from the first restaurant will be $21x + $5 = $21x + $5.
The total cost from the second restaurant will be $17x.
If x = 1, the first restaurant will cost $26 and the second restaurant will cost $17, so the second restaurant is cheaper.
If x = 2,
the first restaurant will cost $47 and the second restaurant will cost $34, so the second restaurant is cheaper.
If x = 3, the first restaurant will cost $68 and the second restaurant will cost $51, so the second restaurant is cheaper.
So, in every case, the second restaurant is cheaper, and Lisa should choose the second restaurant to purchase pizzas for her party.
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A carpenter bought a piece of wood that was 5.55 meters long than sawed 0.62 meters of the end how many long is a piece of wood now ?
Answer:
4.93
Step-by-step explanation:
5.55-0.62=
4.93
A square can also be classified as which of the following?
rhombus
rectangle
parallelogram
trapezoid
quadrilateral
Thanks gamers
Answer:
Step-by-step explanation:
A square is a rhombus, rectangle, parallelogram, and quadrilateral. So basically it is everything accept for a trapezoid. It has all equivalent sides so it is a rhombus. It has all right angles so it is a rectangle, it has four sides so it is a quadrilateral, and opposite sides are equal so it is a parallelogram. Hope it help's! ;)Which expression is equivalent to (4 + 7(3 + 41)?
-16+37i
12-28i
16-37i
37+16i
Answer:
C
Step-by-step explanation:
hi help pleasee ????
Answer:
Your answer is going to Be b
select the appropriate formula for the surface area of the given figure
Answer:
The answer is A
Step-by-step explanation:
This figure is a cylinder and the surface area formula of a cylinder is 2 pi rh + 2pi r^2
If a = 32 ft, b = 15 ft, c = 16 ft, and d = 19 ft, what is the area of the living room and hallway together?
A.
368 ft2
B.
784 ft2
C.
164 ft2
D.
82 ft2
Answer :
A. 368 ft²
Step by step
[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]
Answer:
386 ft :)
Step-by-step explanation:
What is the coefficient of the product experssion 6x? I NEED HELP SO PLS HURRYYYYY.
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Two trains leave stations 432 miles apart at the same time and travel toward each other one train travels at 95 mph about the other travels at 85 mph how long will it take for the two trains to meet
Answer:
1 hour
Step-by-step explanation:
the areas of two similar triangles are 42cm and 262.5cm. if the altitude of the smaller triangle is 7cm. what is the length of the base of the larger triangle?
Answer:
75 cm
Step-by-step explanation:
It is given that the triangles are similar. It means that the ratio of their areas are equal to the ratio of their bases and ratio of their altitudes.
Let [tex]A_1[/tex] be the area of 1st triangle.
Let [tex]A_2[/tex] be the area of 2nd triangle.
Let [tex]h_1[/tex] be the altitude of 1st triangle.
Let [tex]h_2[/tex] be the altitude of 2nd triangle.
Let [tex]b_1[/tex] be the base of 1st triangle.
Let [tex]b_2[/tex] be the base of 2nd triangle.
Then [tex]A_1: A_2 = h_1 : h_2 = b_1 : b_2 ...... (1)[/tex]
[tex]A_1 = 42 cm^{2} \\A_2 = 262.5 cm^{2}\\h_1 = 7 cm\\b_2 = ?[/tex]
We know that area of a triangle is:
[tex]A = \dfrac{1}{2} \times b \times h[/tex]
Area of smaller triangle:
[tex]\frac{1}{2} \times b_1 \times 7 = 42\\\Rightarrow b_1 = 12 cm[/tex]
Now, using part of equation (1):
[tex]A_1: A_2 = b_1 : b_2 \\\Rightarrow \dfrac{42}{262.5} = \dfrac{12}{b_2}\\\Rightarrow b_2 = 75 cm[/tex]
Hence, base of larger triangle = 75 cm
For circle P , find QN if LM = ON = 7.
A.
3.5
B.
7.5
C.
14
D.
21
Answer:
A
Step-by-step explanation:
You are just going to have to divide the 7 which gives you 3.5
What is answer? Between which two consecutive whole numbers is the square root of 200.?
Answer:
Step-by-step explanation:
Find the number in the tenth place 1
and look one place to the right for the rounding digit 4
Round up if this number is greater than or equal to 5
and round down if it is less than 5
The answer is 14.1
A rectangular prism has a length 4 1/4 in., a width of 3 in., and height of 1 1/4 in.
which expressions can be used to find the volume of the prism.
Select EACH correct answer.
A.) 1 1/4 (3+4 1/4 )
B.) 4 1/4 times 3 times 1 1/4
C.) 12 3/4 times 1 1/4
D.) 1/2 (12 3/4 times 1 /14)
PLEASE HELP ALL 25 OF MY POINTS
Answer:
B, C.
Step-by-step explanation:
B, because you're multiplying them all, which is what you would do in the normal formula. You would get 255/16, or 15.9375.
C, since you would also get 255/16.
Please tell me if im wrong! im only a student .m.
the sum of two integers is 81.if the product is 1088.what are the integers
Answer:
(a;b)={(17; 64); (64; 17)}
Step-by-step explanation:
a+b=81 => b=81-a
a*b=1088
a*(81-a)=1088
-a²+81a=1088
a²-81a+1088=0
a²-64a-17a+1088=0
a(a-64)-17(a-64)=0
(a-17)(a-64)=0
=> a=17 and a=64
for a=17 => b=81-17=64
for a=64 => b=81-64=17
(a;b)={(17; 64); (64; 17)}
The two integers are equal to a = 17 and b = 64.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The two integers are,
a+b=81 => b=81-a
a x b=1088
Calculate the value of one integer,
a x (81-a)=1088
-a²+81a=1088
a²-81a+1088=0
a²-64a-17a+1088=0
a(a-64)-17(a-64)=0
(a-17)(a-64)=0
Calculate the value of the second integer b,
=> a=17 and a=64
for a=17 => b=81-17=64
Therefore, the two integers are equal to a = 17 and b = 64.
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David rolls a number cube fifty times. The number 4 comes up twelve times. The number 3 comes up eight times. What is the experimental probability of rolling a 3 or 4? *
1 point
20%
30%
40%
50%
Answer:
40%.
Step-by-step explanation:
Prob( Rolling a 4) = 12/50
Prob( Rolling a 3) = 8/50
When the combined probabilities contain an 'OR' we Add the probability values:
Probability of a 3 or a 4
= 12/50 + 8/50
= 20/50
= 2/5
= 40%.
The correct answer is C, 40%.
A painter needs to have 24 gallons of paint that contains 30% solvent how many gallons of paint contain 20% solvent and how many gallons containing 60% solvent?
Answer:
18 gallons containing 20% solvent and 6 gallons containing 60% solvent
Step-by-step explanation:
the painter needs 24 gallons of paint containing 30% solvent = 7.2 gallons of solvent
let a = 20% solvent paint
let b = 60% solvent paint
a + b = 24
0.2a + 0.6b = 7.2
(replace a = 24 - b in the second equation)
a + b = 24
0.2(24 - b) + 0.6b = 7.2
4.8 - 0.2b + 0.6b = 7.2
0.4b = 7.2 - 4.8 = 2.4
b = 2.4 / 0.4 = 6
a = 24 - 6 = 18
Jordan bought 2 bottles of water. If the total cost of the water was $ 4.50, what was the cost of each bottle of water? (Hint- draw a model or diagram that represents this situation.)
Answer:
2.25 for ONE bottle
Step-by-step explanation:
If you divide 4.50 by 2 the result is 2.25
Tim dug a hole that was 16 1/2 inches deep.He left a pile of dirt next to the hole that was 8 3/4 inches high.Show how you could use subtraction to find the distance from the top of the pile of dirt to the bottom of the hole.
Answer:
14 inches
Step-by-step explanation:
Length of the hole = 16(½) inches
Length of the dirt = 8(¾)inches
The distance between the top of the pile to the bottom of the hole = ?
Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.
Distance from the top to the bottom = length of dirt + length of the hole
Length of dirt = 8×¾ = 6 inches
Length of the hole = 16 × ½ = 8 inches
Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches
Distance from the top of the dirt to the bottom of the hole = 14 inches
Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left
Distance left = length of hole - length of dirt
Distance left = 8 - 6 = 2 inches .
But what the question requested was the distance from the top of the dirt to the bottom of the hole
(x - 3)² + (x - 1)² = 8
Identify the center and radius of each
Answer:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
Step-by-step explanation:
I am going to assume you meant to write
[tex](x-3)^2+(y-1)^2 = 8[/tex]
Since if both variables were x it would not be a circle:
Then you can find the center and radius using the general formula of a circle:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where the center is at (h,k) and r is the radius
Therefore:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
An airplane flies 4800 miles into the wind for 15 hours. The return trip takes 10 hours. Find the speed of the airplane without a wind and the speed of the wind.
Answer:
The speed of the airplane was 800 mph and the wind, 480 mph.
Step-by-step explanation:
distance'd'/speed'v'=travel time't' and the distances are the same. The wind speed works against the plane upwind and helps the plane downwind, of course.
considering x=speed of airplane without wind
c=speed of wind
->Forward trip:
d/v=t
4800/(x-c)=15
320= x-c ---> eq(1)
->Return trip:
4800/(x+c)=10
480 = x+c --->eq(2)
Adding eq(1) and (2)
x-c + x+c = 320+ 480
x= 800 mph
eq(1)=> 320= x-c
c= 800 - 320
c=480mph
The speed of the airplane was 800 mph and the wind, 480 mph.