The volume of the sphere is 22/ 336 cubic units
How to determine the volumeThe formula for volume of a sphere is expressed as;
Volume = [tex]\frac{4}{3} \pi r^3[/tex]
Where;
π = 22/ 7radius, r = 1/ 4Substitute the values into the formula;
Volume = 4/ 3 × 22/ 7 × (1/ 4)³
Volume = 4/ 3 × 22/ 7 × 1/ 64
Multiply through
Volume = 88/1344
Volume = 22/ 336 cubic units
Thus, the volume of the sphere is 22/ 336 cubic units
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Two angles are complementary. The larger angle is 3 degrees less than twice the measure of the smaller angle. Find the measure of each angle.
Answer:
First angle would be 31°, second angle would be 59°
Step-by-step explanation:
You can use the equation 90° = a + (2a - 3°), where a is the measure of your smaller angle.
simplify:
90° = 3a - 3°
93° = 3a
31° = a
let your second angle equal (2a - 3°)
(2(31°) - 3°) = 59°
HELP?!?!?!?!?!?!?!? please?!?!?!?!
Answer:
8
Step-by-step explanation:
Hello There!
This is an example of a 30 - 60 - 90 triangle
We are given the long leg and we need to find the hypotenuse
First we want to find the shorter leg
To do so we just take away the [tex]\sqrt{3}[/tex] from the 4[tex]\sqrt{3}[/tex]
so the shorter leg is equal to 4
Now to find the hypotenuse
Well according to the 30-60-90 triangle rule
the hypotenuse is equal to twice the size of the short leg
4*2=8
hence, the answer is option 2
y=x^2-10x-7 what is the equation of the axis of symmetry
Answer:
x=5
Step-by-step explanation:
Desmos is a tool to finding your answer to this equation. Its a graphing calculator
HELP PLEASE!!! on Friday Fun Day, Mrs. Burns must divide her class into 4 groups with at least 6
students in each group. Write an inequality to find the number, s of students in class
Answer:
C (Third One Yellow)
Step-by-step explanation:
Not 100% sure but i believe so
Let me know if it's right
Which of the following graphs is described by the function given below?
y = 3x2 + 7x + 2
pls help neeeeeeeeeeeeeeeeeeeeeeeeeed heeeeeeeeeeeeeeeelp!
What is the perimeter of a rectangle that has a length of 9 cm and a width of 6 cm?
A. 54 sq. cm
B. 54 cm
C. 30 sq. cm
D. 30 cm
Answer:
D. 30 cm
Step-by-step explanation:
A rectangle has two of the same sides and two of another length so it would be 9+9+6+6, which is 30
Answer:
d) 30 cm
Step-by-step explanation:
P = 2 (l + w)
P = 2 (9 + 6)
P = 2 (15)
P = 30
30 sq. cm woul'd be wrong because that's indicating the area (you don't use sq. when finding perimeter)
Which of the following is an example of counterfeiting?
Shannon purchases a purse with a designer logo even though she knows it's not an actual designer handbag.
Joe replicates U.S. currency in the hopes of passing it off as legal tender when he purchases a big screen TV.
Eric steals money from the company where he works and uses it to pay off his credit card debt.
Latasha attempts to make a purchase using money she accepted for a government contract that she never completed.
Answer:
joe replicates us currency mwah
Step-by-step explanation:
Adele watched 52 random movies from each nearby video store. Each video store has an
equal number of movies.
Is this sample of the movies at nearby video stores likely to be biased?
yes/no.
Answer: Yes because they want to sell the movies that sell the most
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
In square ABCD, AE = 3x + 15 and ED = 5x + 7. Find AC.
together teammates Pedro and Ricky got 2688 base hits last season pedro had 282 more hits than Ricky how many hits did each player have?
pedro had base hits
Answer:P=1485 R= 1203
Step-by-step explanation:
PLEASE help quick it is almost due
Answer:
D.
Step-by-step explanation:
please help me it’s due today and i don’t understand, i’ll give brainliest.
Which of the following situations could not be represented by the equation 4÷113 ? (Lesson 4-2)
Multiple choice question.
A)
A group of friends met for lunch and got 4 small pizzas to share. Each person had 113 pizzas. How many friends went for lunch?
B)
A baker is filling equal-sized containers with sugar. Four pounds of sugar fill 113 containers. How many pounds fit in each container?
C)
An art teacher is filling equal-sized containers with sand. 113 pounds of sand fill 4 containers. How many pounds fit in each container?
D)
A group of friends got dessert and got 4 small pies to share. Each friend had 113 pies. How many friends went for dessert?
A customer at a store paid $60 for 2 large candles and 6 small candles. At the same store, a second customer paid $5 more than the first customer for 1 large candle and 4 small candles. The price of each large candle is the same, and the price of each small candle is the same.
Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
A.
6y = 2x + 60
4y = x + 65
B.
6y = 2x + 60
4y = x + 55
C.
2x + 6y = 60
x + 4y = 65
D.
2x + 6y = 60
x + 4y = 55
Answer:
b
Step-by-step explanation:
Help help help help help
Answer:
1) 2b + 6
2) 8w - 12
3) 2b + 6 + 6x + 20
4) 9w^2 + 27 + 8 - 27
5) Sorry.
Step-by-step explanation:
4 of 8
The following are the ages (years) of 5 people in a room:
25, 22, 13, 14, 21
A person enters the room.
The mean age of the 6 people is now 22.
What is the age of the person who entered the room?
I
years
Answer:
Step-by-step explanation:
First add all of the numbers together
25+22+13+14+21=82
Now add a variable like X since we don't know the age of the sixth, and divide it by 6 since there are 6 people in the class.
82+X/6=22
(22 is the mean age)
Now solve for the equation
82+X=132
so X =50
Find the circumference of a circle with a diameter of 36 feet
Answer:
C (113.04)
Step-by-step explanation:
Circumference = Diameter x pi (3.14)
36 x 3.14 = 113.04
Hope this helps
Chloe has a bird feeder in her yard. When it is full of bird seed, it weighs 1234 pounds. The birds eat 112 pounds of bird seed each week. She refills the bird feeder when it weighs less than 3 pounds. Which solution represents how many weeks, w, it will take until Chloe refills the bird feeder?
Answer:
Chloe will refill the bird feeder every 11 weeks.
Step-by-step explanation:
Since Chloe has a bird feeder in her yard, which when it is full of bird seed, it weighs 1234 pounds, and the birds eat 112 pounds of bird seed each week, since she refills the bird feeder when it weighs less than 3 pounds, to determine which equation represents how many weeks, W, it will take until Chloe refills the bird feeder, the following calculation must be performed:
(1234 - 3) / 112 = W
1231/112 = W
10.99 = W
So, Chloe will refill the bird feeder every 11 weeks.
PLEASE HELP!! ITS MY EXIT TICKET! Kyle and Jillian are working on a sports banner. They painted 3/8 of the banner green and 4/8 purple. How much of the banner have they painted?
Answer:
7/8
Step-by-step explanation:
3/8 + 4/8
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
The answer is:
A. k + m = 31
k = m + 7
Answer:
b
Step-by-step explanation:
Hey guys, could anyone help me out with this? Just fill in the blanks ^^
Answer
6x+2y 3x+y 5x
Step-by-step explanation:
first is middle left
second is bottom right
third is bottom middle
ok can someone pls help me with these last 3 questions.
i know i’ve been asking for a lot today so i just want to say thank you for helping me
Answer:
1:C
2:B
3:D
Step-by-step explanation:
To solve these questions you need to know the exterior angle theorem.
1: 8x+2+9x+6=110
17x+8=110
17x=102
x=6
2: 30+98=?
so 128
3: 9x+11+9x+5=124
18x+16=124
18x=108
x=6
3. The mass m is less than 5 kilograms.
Answer
m < 5kg
I don't know what you want but I got this-
I dont like percents , please help. Thank you
Answer: 20
Step-by-step explanation:
a boy walks meter in 6 min. how many meter can he walk in 1 hour
Answer:
mama mo blue
Step-by-step explanation:
Answer:
10 meters
Step-by-step explanation:
1hr(60min)
60÷6=10
Help!!! Bo and Erica are yoga instructors. Between the two of them, they teach 46 yoga classes each week. If Erica teaches 14 fewer than twice as many as Bo, how many classes does each instructor teach per week?
A.
22 Bo; 24 Erica
B.
24 Bo; 22 Erica
C.
17 Bo; 29 Erica
D.
20 Bo; 26 Erica
Answer: D
Step-by-step explanation:
2x - 14 + x= 46
3x = 60
x= 20
you paid $76.70 for a meal in a restaurant. If the original bill was $65, what percent tip did you leave for your server? Please Explain!
Answer:
18%
Step-by-step explanation:
65 + x = 76.70
x = 11.70
11.70/65 = 0.18 or 18%
Prove that a triangle with coordinates
A(5, 6), B(8,5), and C(2, -3) is a right triangle.
Answer:
Because the side of the triangle forms pythagoras tripple
Line AB = √10
Line BC = 10
Line AC = √90
Step-by-step explanation:
From the question,
In the triangle,
Line AB = √[(8-5)²+(5-6)²]
Line AB = √(3²+-1²)
Line AB = √(9+1)
Line AB = √10
Also,
Line BC = √[(2-8)²+(-3-5)²]
Line BC = √(-6²+(-8)²)
Line BC = √(36+64)
Line BC = √100
Line BC = 10 unit.
Finally,
Line AC = √[(5-2)²+(6+3)²]
Line AC = √(3²+9²)
Line AC = √(9+81)
Line AC = √90.
From the above length of the line in the triangle,
Line AC, Line BC and Line AC are pythagoras triple.
I.e
10² = (√10)²+(√90)²
100 = 10+90
100 = 100.
Note only a a right angle triangle obeys pythagoras theorem.
solve the simultaneous equations y=3x+2 and y=x+6
Answer:
x=2
Step-by-step explanation:
y=3x+2
y=x+6
Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.
Therefore, substitute into both equations as shown:
3x+2=x+6
3x-x=6-2 (bring 2 to the other side by subtracting 2 as well as x)
2x=4
2x/2=4/2 (dividing 2 on both sides to get rid off 2 in 2x)
x=2.
The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8.
What is the equation?More than one variable may be present inside a linear equation.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given system of equations,
y=3x+2 and y=x+6
Compare both values,
3x + 2 = x + 6
3x - x = 6 - 2
x = 4/2 = 2
And, y = 2 + 6 = 8
Hence "The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8".
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