Answer:
[tex]A=6250\ feet^2[/tex]
Step-by-step explanation:
Given that,
The radius of circle, r = 50 feet
The central angle, [tex]\theta=5\ radian[/tex]
We need to find the area of the sector of a circle. The formula for the area of sector is given by :
[tex]A=\dfrac{1}{2}r^2\theta\\\\=\dfrac{1}{2}\times 50^2\times 5\\\\A=6250\ feet^2[/tex]
So, the area f the sector of the circle is [tex]6250\ feet^2[/tex].
The hanger shown in the diagram is balanced. Both cherries weigh the same, both mushrooms
weigh the same, both carrots weigh the same, and all three strawberries weigh the same.
How many grams does the exotic fruit weigh if the total weight of all ten items is 84 grams?
Answer:
The mass of the exotic fruit is 20 grams.
Step-by-step explanation:
For the system to be in equilibrium,
i. the resultant of all masses must be zero
ii. the total mass on the left of the hanger must be equal to that on the right
Thus,
84 g = 42 g + 42 g
mass of each carrot = 12 g
mass of each mushroom = 10 g
mass of each cherry = 2.5 g
mass of each strawberry = 5 g
So that;
On the left of the hanger,
(2 x 5) + (2 x 10) + 12 = 42
10 + 20 + 12 = 42
42 = 42
On the right of the hanger, let the mass of exotic fruit be represented by x.
x + 12 + 5 + (2 x 2.5) = 42
x + 12 + 5 + 5 = 42
x + 22 = 42
x = 20 g
The mass of the exotic fruit is 20 grams.
a small business estimates that the value V(t) of a copy machine is decreasing according to the function
V(t)=4000(4)^0.13t
where t is the number of year's that have elapsed since the machine was purchased and V(t) is in dollars.
Answer:
ZujADADA
Step-by-step explanation: 1+2=3
what number multiplied by 0.5, Multiplied by 1/3, square the number, add one, equals 50?
Answer:
42
Step-by-step explanation:
Let that number be x
x is multiplied by 0.5, 1/3, then squared
(0.5/3 x)^2
Add 1: (0.5/3 x)^2 +1
Make it equal to 50
: (0.5/3 x)^2 +1 = 50 now solve
(0.5/3 x)^2 =50-1
(0.5/3 x)^2 =49
square root both sides ending up with:
0.5/3 x=7
solve for x
x=42
GOOD LUCK AND HOPE IT HELPS:))
write the sum using summation notation -1+2+5+8+...+44
Answer:
[tex]\sum_{i=0}^{15} (3i-1)[/tex]
Step-by-step explanation:
for i=0 you have the first term, 3*0-1 = -1
for i=1 you have the second term, 3*1-1 = 2
...
for i=15 you have the last term, 3*15-1 = 44
Plz plz plz, HELP!!!! I will give u brainlylist
*WRITE EACH PHRASE AS AN ALGEBRAIC EXPRESSION: CAN yall Please help
1. P multiplied by 4
2. A take away 16
3. 3 groups of 7
4. the sum of 1 and Q
Answer:
1. 4P
2. A - 16
3. 3 * 7
4. 1 + Q
The gross income, in dollars, that a company makes from
selling x items can be modeled by the expression 3x2 + 2x
+ 4. It costs the company x2 - 3x + 2 dollars to make x
items. Which expression represents the company's profit if
it makes and sells x items?
Answer:
x sells x
Step-by-step explanation:
$$$$$$$
Jim has 1/3 of a cup of milk he adds 2/3 to it. How much milk does the cup have know.
Answer:
3/3 (1)
Step-by-step explanation:
1/3 plus 2/3 is 3/3.
Since the denominators are the same, you just keep the number the same and add the numerators (top numbers)
Find the value of y if the mean is 22 and 18 ( 2y+1), 10 and 20 is 15
Answer:
2
Step-by-step explanation:
Mean = sum of data/sample size
Sum of data = 22 + 18 + 2y+1 + 10 + 20
Sample size = 5
Mean = 15
Substitute
15 = 22 + 18 + 2y+1 + 10 + 20/5
15*5 = 22 + 18 + 2y+1 + 10 + 20
75 = 70+2y+1
2y = 75-71
2y = 4
y = 4/2
y = 2
Hence the value of y is 2
Glados drew a triangle with the base of 9.6 centimeters. It's area was 30.72 square centimeters. What was it's height (nearest tenth)
Answer:
the answer is 98.3cmsquared
The volume of a right rectangular prism can be found by using the product 9(4)(1.1). Which expression could also be used to determine the volume of this prism?
O 11(9)(4)
O 9(4) + 1
0 32(11)
O 9 + 4 + 11
plss help fast
Answer:The answer is A)11(9)(4)
Step-by-step explanation:
If you have 9(4)(11) then is would be the one that look just like it but the number are moved like 11(9)(4)
Answer:
The Answer is 11 (9 + 4)
DO THIS FOR BRAINLIEST PLEASE
Joey wants to find out what sport 7th grade girls like the most. He asks "Is basketball your favorite sport?"
This question is biased.
True OR False
Answer:
True
Step-by-step explanation:
I hope I'm right
Answer:
False
Step-by-step explanation:
No 7th grade girl likes basketball the most unless they're going through their tomboy phase of life.
Could somebody help me with this please
Answer:
x = 19°
Step-by-step explanation:
.........................
Forgive me if wrong
Three times a number plus nine is five
what if 1/3 years = -------- month
Answer: 1/3 of a year equals 4 months
Step-by-step explanation: This is because there are 12 months in a year and 1/3 years is 12/3, which is 4
Hope you are having a nice day and please tell me If got anything wrong
Answer: 4 months
Step-by-step explanation:I believe it would be four months because 12 months in a year divided by 1/3 would be 4 months. Hope this helps!
Simplify the expression by combining like terms:
-3m-8(m+1)
Answer: -11m-8
Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8
Answer:
16m
Step-by-step explanation:
-3m -8 (m+1) any variable has 1.
-8 (-2m)
16m
Select the equivalent expression that shows the fewest possible terms.
Answer:
Step-by-step explanation:
7a-10c-2a-0.5c+5
5a-10.5c+5
it is your first choice
what do you understand by resultant of a force
Answer:
When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.
Step-by-step explanation:
find the value of s in rectangle
Answer:
s + 1 = 2s
s = 1
Mia buys 4 ¼ pounds of plums. Her total cost after using a coupon for 55 cents off her entire purchase was $3.23. Write an equation to represent this situation.
Try to answer these
What is the total?
What will make the total - in words (be precise)
Write the words out as an equation
What don’t you know?
Write the algebraic equation.
Answer: I tried to help but i just got confused
Sorrry I didnt know the answer
Write 2 1/6 as an improper fraction
Answer:
13/6
Step-by-step explanation:
pleaseeee help please
Answer: It will be 60m^2
Corrine earned $67.25 waiting tables, plus another $45.45 in tips. How much did she earn altogether?
Answer:
$112.70
Step-by-step explanation:
$67.25 + $45.45 = $112.70
2. Mang Danny bought a cellphone worth Php 7500 and he's selling it for Php 9000. How much is the markup?
3. If the price of an item is 80 pesos and its markup rate is 30%, how much is the markup?
Answer:
php 1500
24 pesos
Step-by-step explanation:
Purchase price = 7500
Amount sold = 9000
The markup will be :
Amount sold - purchase price
9000 - 7500
= php 1500
2.)
Price = 80 pesos
Markup rate % = 30
The Markup = 30% * 80
Markup = 0.3 * 80
Markup = 24 pesos
X-5(x-1)=2x-(2x-3) answer the question
Answer: x= 1/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x−5(x−1)=2x−(2x−3)
x−5(x−1)=2x+−1(2x−3)(Distribute the Negative Sign)
x−5(x−1)=2x+−1(2x)+(−1)(−3)
x−5(x−1)=2x+−2x+3
x+(−5)(x)+(−5)(−1)=2x+−2x+3(Distribute)
x+−5x+5=2x+−2x+3
(x+−5x)+(5)=(2x+−2x)+(3)(Combine Like Terms)
−4x+5=3
−4x+5=3
Step 2: Subtract 5 from both sides.
−4x+5−5=3−5
−4x=−2
Step 3: Divide both sides by -4.
−4x /−4 = −2 /−4
x = 1/2
10 cm
a
6 cm
What is the length of the missing leg?
a =
centimeters
Answer:
10×6
= 60
Step-by-step explanation:
maaf kalau salah
Alex and 4 friends are playing baseball on the same team. Each time they play a game, they switch the batting order to a sequence that has not yet been used. What is the maximum number of games they can play before they have to repeat a batting order they have already used?
Answer:
120.
Step-by-step explanation:
Since Alex and 4 friends are playing baseball on the same team, and each time they play a game, they switch the batting order to a sequence that has not yet been used, to determine what is the maximum number of games they can play before they have to repeat a batting order they have already used, the following calculation must be performed:
1 x 2 x 3 x 4 x 5 = X
2 x 3 x 4 x 5 = X
6 x 4 x 5 = X
24 x 5 = X
120 = X
Thus, the maximum number of games they can play before they have to repeat a batting order they have already used is 120.
John was having a party he knows his bowl can hold 2/3 of a bag of Doritos.if he has 4 bags or Doritos how many bowls does he need
Step-by-step explanation:
2•4 =8
8/3 =2 2/3
answer : 3
(1 + )1⁄3 + (1 − )1⁄3 = 21⁄3
Given right triangle JKL, what is the value of cos(L)?
1. 5/13
2. 5/12
3. 12/13
4. 12/5
Answer:
A 5/13
Step-by-step explanation:
Just took the test
The value of Cos L in the given right triangle JKL, is 5/13
What is a Cosine of the angle?The cosine of an angle is defined as the sine of the complementary angle.
The complementary angle equals the given angle subtracted from a right angle, 90°.
Also, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H).
Given is a right triangle JKL, we need to find the value of cos(L),
Since, the cosine of an angle is the ratio of the base and hypotenuse,
So, firstly of we will find the value of the hypotenuse,
Using the Pythagoras theorem,
12²+5² = hypotenuse²
hypotenuse = √(12²+5²)
hypotenuse = √169
hypotenuse = 13
Therefore, Cos L = 5/13
Hence, the value of Cos L in the given right triangle JKL, is 5/13
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