Answer:
[tex]\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi[/tex]
Step-by-step explanation:
Area of a circle with radius [tex]r[/tex]: [tex]r^2\pi[/tex]
Circumference of a sector with radius [tex]r[/tex]: [tex]2r\pi[/tex]
Area of sector with angle [tex]\theta[/tex]: [tex]r^2\pi\cdot \frac{\theta}{360}[/tex].
Arc length of sector with angle [tex]\theta[/tex]: [tex]2r\pi\cdot \frac{\theta}{360}[/tex]
Using these equations, we get the following information:
Area of circle: [tex]27^2\pi=729\pi[/tex]
Circumference of a circle: [tex]2\cdot 27\cdot \pi=54\pi[/tex]
Area of sector: [tex]27^2\pi\cdot \frac{80}{360}=162\pi[/tex]
Arc length of sector: [tex]2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi[/tex]
Find surface area of right cone with diameter of 12 meters and a slant height of 9 meters
if 20 men can finish a piece of work in 30 days how many additional numbers of mains will be employed to finish the work in 24 days
Answer:
Step-by-step explanation:
no of days no of men
30 20
24 20
30/24=x/20
24 x=30*20
24x=600
x=600/24
x=25
therefore 5 more men are needed to complete the work in 24 days
5b^2+39b=8 please solve and explain why
Step-by-step explanation:
5b²+39b=8
<=> 5b²+39b-8=0
(5b-1)(b+8)=0
b = ¹/5 or b = -8
b=-8 and b=1/5.
Answer:
Solution given:
5b²+39b=8
5b²+39b-8=0
try to do middle term factorization.
it needs 40 while multiplication and 39 when subtraction.
it is 40-1 and 40*1
now
doing middle term factorization
5b²+(40-1)b-8=0
5b²+40-b-8=0
take common from each 2 term
5b(b+8)-1(b+8)=0
again take common and keep remaining in another brackets
(b+8)(5b-1)=0
either
b=-8
or
b=1/5
which inequality is graphed in blue
Rewrite the expression in the form y^n
Step-by-step explanation:
y^3/4×y^1/3y(3/4+1/3)y^2/3stay safe healthy and happy.Answer:
y^13/12 or y^1 1/12
Step-by-step explanation:
Convert the fractions to compatible bases. In this case, you can multiply the 3/4 by 3 making it 9/12, and multiply the 1/3 by 4 making it 4/12. If you add these now compatible fractions, you get 13/12. The base remains the same, I hope this helps!
Determine algebraically the equation of the line passing through the points (0, -5) and (4, -9)
Answer:
y = -1x -5
Step-by-step explanation:
y2 - y1 / x2 - x1
-9 - (-5) / 4 - 0
-4 / 4
-1
y = -1x + b
-5 = -1(0) + b
-5 = 0 + b
b = -5
y = -1x -5
Which one is equivalent? Ez points
Answer: B: -4 by -4 by -4
Step-by-step explanation: When a number is to be used with a negative exponent, the number is to be multiplied by however many times the number says to multiply it, and whether the exponent is positive or negative determines the numbers being multiplied, whether they should be negative or positive. (Sorry, I'm not good at wording this, I'll provide an example below.);
4^-3 means that you multiply four three times, but the exponent is also negative, so it would make each of the base numbers negative.
-4 by -4 by -4
whats this shape help I'm struggling
Answer: It is a rectangle.
Step-by-step explanation: 2 rectangles of different sizes are being in top of each other.
what is the result?? Show explanation.
A. 4⁵
B. 4¹
C. 4-¹
D. 4-⁵
Answer:
4^-5
Step-by-step explanation:
4^-3 = 1/4^3
1/4^3 · 1/^2 = 1/4^5 which is the same as 4^-5
Plz help me i am stuck
Given:
The two statements.
To find:
The probability of an impossible event.
The probability of a certain event.
Solution:
Formula for probability is:
[tex]P=\dfrac{\text{Possible favorable outcomes}}{\text{Total number of outcomes}}[/tex]
For an impossible event, the possible favorable outcomes is 0. So,
[tex]P=\dfrac{0}{\text{Total number of outcomes}}[/tex]
[tex]P=0[/tex]
For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,
[tex]P=\dfrac{\text{Total number of outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]P=1[/tex]
Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.
The volume of a sphere of radius 3 cm is
(A)
9x cm
(B)
18.t cm
(C)
27 cm
(D)
36 cm
Answer:
3^3 = 27
27 * 3.14 = 84.78
84.78 * 4/3 = 113.04 is your answer.
Formula of volume of sphere is:
4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)
You get your radius by finding out what is half of your diameter or your given radius.
please answer these questions. only use the power of one to solve it. if u answer it right il give brainlest and ill make another question which u can get 50 points for free. pls answer no links or random answers.
Answer:
9a) 6 1/5
b) 6 4/7
c) 1 1/0
d) 4 1/8
e) 1 1/3
f) 3 1/6
10a) 15 years old
b) 14 1/6 years old
11) 8/3 = 2 2/3
7/5 = 1 2/5
2 2/3 + 1 2/5 = 4 1/15
12a) They ate 3 11/12 pizzas
b) They ate 1 1/3 more cheese pizzas than veg
please help i keep getting the wrong answers
Answer:
10 inches
Step-by-step explanation:
Surface Area = π R² + π R L [ L is Slant Height ]
200 π = π (10)² + π (10) L
200 π = π (100) + π (10) L
200 π - 100 π = 10 π L
100 π = 10 π L
100 π / 10 π = L
10 = L
L = 10 inches
Hope this Helps......
[tex]\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}[/tex]
Given terms :
Surface area (a) = 200 πradius = 10 inchesNow, we know
[tex] \large\boxed{\mathrm{surface \: \: area = \: \pi r(l + r) }}[/tex]
[tex]200\pi = \pi \times 10 \times (10 + l)[/tex][tex] \dfrac{200\pi}{10\pi} = 10 + l[/tex][tex]20 = 10 + l[/tex][tex]l = 10 \: in[/tex](note : " l " represents slant height.)
Therefore, Measure of slant height (l) :
[tex] \huge \boxed{10 \: \: in \: }[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Trigonometry help please! Show work thank you !
Answer:
Step-by-step explanation:
Evaluate √ 20.
A: 4. 47
B: 4
C: 5
D: 10
Answer:
It would be A. 4.47
FIND ANGLE ADB
the number is 116 on top
Answer:
[tex]m\angle ADB=58^{\circ}[/tex]
Step-by-step explanation:
For an angle with a point on the circle, the measure of that angle is equal to half the measure of the arc it forms. Since angle ADB forms an arc AB that measures [tex]116^{\circ}[/tex], the measure of angle ADB equals [tex]\frac{116}{2}=\boxed{58^{\circ}}[/tex]
Step-by-step explanation:
ADB=116/2(inscribed angle is half of it's arc)
58°stay safe healthy and happy...what is oral traditions? don’t copy word to word from the internet
Answer:
, hope u understand and happy
Answer:
Oral traditions are things that have been passed down from generations, such as folktales, pieces of art, stories, and more
Step-by-step explanation:
Find the probability of drawing either a Queen or a Heart from a standard deck of cards.
A) 0
B)17/52
C) 1/4
D)4/13
Answer:
17/52 (Answer B)
Step-by-step explanation:
There are four queens and 13 hearts. The probability of drawing a Queen is thus 4/52 (= 1/13); that of drawing a Heart is 13/52 (= 1/4).
The probability of drawing either is 1/13 + 1/4, or 4/52 + 13/52, or 17/52 (Answer B)
the figure below. help me please
HELLPPPP MEEE NEEDD HELP ¶∆¶
Find the RATIO and the EXACT VALUE of the given Cos B.
=================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(B) = BC/AB
cos(B) = 5/13
-3
Which expression is equivalent to
21n^-3m^5/3p^-5?
Answer:
IM NOT SURE WHAT
Step-by-step explanation:
A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle
Answer:
9 cm
Step-by-step explanation:
Arc length = θ/360 × 2πr
A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle
Hence,
3π = 120/360 × 2πr
Diameter = 2r
3π = 1/3 × 2πr
Cross Multiply
9π = 2πr
2r = 9π/π
Note that :
Diameter = 2r
Hence,
Diameter = 9 cm
WILL MARK BRAINLIEST!!!
Jamie is going on a trip to visit her grandparents. The airline allows each suitcase to hold 50 pounds. She has already packed clothes and other things that weigh a total of 26 pounds. The inequality p + 26 ≤ 50 can be used to see how much more she can pack in the suitcase.
Why is this problem written as an inequality instead of an equation?
Answer:
Because the airline allows each suitcase to hold up to 50 pounds, and it doesn't force them to hold exactly 50 pounds
Answer:
Step-by-step explanation:
b/c she doesn't have to have exactly 50 pounds, she can have any were from 0 to 50 pounds in each suit case. They are not going to charge her more, if she only brings 49 pounds :DDDD It's the same charge up to and including 50 pounds. If she brings 51 pounds then maybe she would get charged more :P But not for 50 pounds or less . :) Make sense?
What is the area in square centimeters of the triangle below?
Answer:
45cm2
Step-by-step explanation:
10x7(base x height)=70
70/2=45
What's the surface area for all these??
Answer:
the surface area of the square is "378"
Step-by-step explanation:
2×(9×9 + 9×6 + 9×6) = 378
The young mathematician is presented with this problem: (13 + 7) x (5 - 3) / 4 x (1 + 1) = Which operation would the young mathematician do first?
The division
The subtraction
Those inside parentheses
The multiplication
Those inside the parentheses. Rember pemdas or Parentheses Exponets Multiple Divide Add Subtract in that order from left to right
A cone has a height of 10 millimeters and a radius of 6 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:[tex]376.80\ mm^3[/tex]
Step-by-step explanation:
Given
The height of the cone is [tex]h=10\ mm[/tex]
The radius of the cone is [tex]r=6\ mm[/tex]
Volume of cone is given by
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 6^2\times 10\\\\\Rightarrow V=376.80\ mm^3[/tex]
Thus, the volume of the cone is [tex]376.80\ mm^3[/tex]
- True or False: When you multiply fractions, you need common denominators.
True
False
Answer: true
Step-by-step explanation:
Answer:
Multiplication of fractions do not require the same denominator, or the bottom number of the fraction, like addition and subtraction does. Instead, you would simply multiply the denominators and the top numerators.
What is the value of 8?
Answer:
40320
Step-by-step explanation:
8! is equal to 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 , which equal 40320
Answer:
40320
Step-by-step explanation:
An exclamation point denotes a factorial, so multiply all the numbers less than or equal to 8 until you get to 1
[tex]8*7*6*5*4*3*2*1=40320[/tex]
Look at the picture!
Answer:
6 3/8 pounds (also 6.375 pounds)
Step-by-step explanation:
2 2/3 + 1 5/6 + 1 7/8 = x
8/3 + 11/6 + 15/8 = x
(multiply each fraction by to create the denominator 24)
8/3 x 8/8 = 64/24
11/6 x 4/4 = 44/24
15/8 x 3/3 = 45/24
64/24 + 44/24 = 108/24
108/24 + 45/24 = 153/24
153/24 = 6.375 = 6 3/8