The diameter of a baseball is approximately 3 inches. What is its volume?
Round your answer to the nearest whole number.
A. 9 in^3
B. 13 in^3
C. 113 in^3
D. 14 in^3
Answer:qe
Step-by-step explanation:
The volume of the baseball is 14 in³.
The volume of a sphere can be calculated using the formula:
V = (4/3)πr³
where V is the volume and r is the radius of the sphere.
We have,
Diameter = 3 inch
radius = diameter / 2 = 3 / 2 = 1.5 inches
Substituting the radius into the volume formula:
V = (4/3) π (1.5)³
V ≈ (4/3) x 3.14 x (1.5)³
V ≈ 14.13 in³
Thus, the volume of the baseball is 14 in³.
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Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. What steps will help show that circle A is similar to circle B?
Translate circle A using the rule (x + 4, y + 3).
Rotate circle A 45° about the center.
Dilate circle A by a scale factor of 4.
Reflect circle A about the origin.
Answer:
c took quiz
Step-by-step explanation:
Circle A can be made similar to circle B by dilating circle A by scale factor 4.
Circles can be made similar by performing transformations such as dilations, translation, etc.
The given parameters are:
Circle A
[tex](x,y) = (6,7)[/tex] --- center
[tex]r=4[/tex] --- radius
Circle B
[tex](x,y) = (2,4)[/tex] --- center
[tex]r = 16[/tex] --- radius
To do this, we simply make both circles have the same radius.
Given that:
[tex]r_A=4[/tex] --- radius of A
[tex]r_B = 16[/tex] --- radius of B
Dilating the radius of A by 4 will make both circles have the same radius.
i.e.
[tex]R = r_A * 4[/tex]
[tex]R = 4 * 4[/tex]
[tex]R = 16[/tex]
Now, the new radius of A is 16; same as B
Both circles now have the same radius, means that the circles are similar.
Read more at similar shapes at:
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answers for the 2 boxes please :)
Answer:
(8, - 5 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 4 → (1)
- x - 3y = 7 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the x- term.
- 3x - 9y = 21 → (3)
Add (1) and (3) term by term to eliminate x, that is
0 - 5y = 25
- 5y = 25 ( divide both sides by - 5 )
y = - 5
Substitute y = - 5 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(- 5) = 4
3x - 20 = 4 ( add 20 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
solution is (8, - 5 )
sorry mine was a mistake
The perimeter of a square is 68 inches. Write and solve an equation to find the length of its sides.
Answer:
17
Step-by-step explanation:
68/4=17
all 4 sides are equal lengths since it is a square.
Answer:
Step-by-step explanation:
68+68+68+68= (or 68x4) 272 inches
What is 1.8(x-4.2)+x simplified, I do not need to know what is x is, I just wanted to know what the equation is simplified
Answer:
2.8x - 7.56
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Marlowe loves to draw. She wants to refine her skills and start taking drawing lessons at a local art studio. The table shows the cost of drawing lessons.
Sorry im a little late but here's how i did it.
Hope this helps! :)
GIVING AWAY BRAINLY!!
choose the linear expression 4(10x - 4).
Answer Choices:
A.) 10x - 16
B.) 40x - 16
C.) 40x + 16
D.) 40x - 4
Area of circles, please help me it's so that I can pass this year. Solve it
Answer:
78.54 cm2
Step-by-step explanation:
A = pi · r squared
A = 78.54 cm2
Find the percent of change. Round to the nearest tenth, if necessary.
In the 2006 season, Tom Brady threw for 3,529 yards. In the 2007 season, he threw for 2,806 yards.
Answer:
20.487%
Step-by-step explanation:
divide the second number by the first. then do one minus that number
A (1,4) B (-2,3) C (-4,5) 3 units right 4 units down
Step-by-step explanation:
can you send a picture so we can see at least?
i just need confirmation that i’m doing this right
Trigonometry
Pls help
Given: A= (0, 0), (2, 1). (3, 1.5). (4, 2). .}ls A a function and why?
Answer:
Yes, it is a function
Step-by-step explanation:
the definition of a function is "a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output." Our input is represented by x, or the first number in the parentheses, and our output is y, or the second number in the parentheses. Because each x value had exactly one output, or y, it is a function
3 Triangles ABC and DEF shown in the diagram
are similar.
In triangle ABC, mZA = 64°.
In triangle DEF, m_F= 73º.
What is the measure of ZG?
Answer: mZG=
Answer:
137
Step-by-step explanation:
2x^4=9x^2 solve by factoring
Step-by-step explanation:
2x⁴ = 9x²
2x⁴ - 9x² = 0
x²(2x² - 9) = 0
Either x² = 0 or 2x² - 9 = 0.
When x² = 0, x = 0.
When 2x² - 9 = 0, x² = 9/2, x = ± 3/√2.
Hence the solutions are
x = 0, x = 3/√2 and x = -3/√2.
Matthew is making bags of trail mix for hiking club. He will use 21 ounces of walnuts, 10.1 ounces of almonds, and 28.4 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?
Answer:
its 2.38 ounces in each bag
Step-by-step explanation:
u add all of he numbers then divide by 25. your welcome
find x of the triangle
Answer:
The angle is 90 degrees
Step-by-step explanation:
Is that what ur asking?
Answer: 15.199
Step-by-step explanation:
Using the Pythagorean theorem, we know that a²+b²=c²
In this case, we know that c is 16, and that b is 5.
We can rearrange the equation so that it becomes a²=c²-b²
a²=16²-5²
a²=256-25
a²=231
√a²=√231
a=15.199
Is this right?
1. Given a right triangle ABC, find the following trigonometric ratios with sides AB = 6, BC = 8 and AC = 10 units. Hint: draw and label your triangle.
a) sin A = 0.13
b) cos A = 0.99
c) tan A = 0.02
d) sin C = 0.01
e) cos C = 0.99
2. Looking back at question 1,
a) which vertex has the right angle? How do you know? B has a vertex. I know this because angle A and and C connect to angle B, and angle B it the corner of a right angle.
b) what do you notice about sine and cosine of complementary angles? The sine of A is different from the sine of C, and the Cosine of A is the same as the cosine of C
Answer:
Q1.
AC is the greatest side, therefore is hypotenuse. AB and BC are legs.
B is 90 deg as the two legs cross at this point.
Ratios:
sin = opposite / hypotenusecos = adjacent / hypotenusetan = opposite / adjacentBC is opposite to A and adjacent to C
AB is adjacent to A and opposite to C
sin A = cos C = 8/10 = 4/5cos A = sin C = 6/10 = 3/5tan A = cot C = 8/6 = 4/3tan C = cot A = 6/8 = 3/4Q2.
a) Answered above
b) Answered above
Solving an Absolute Value Equation
What is the solution set of -+-=-122
O no solution
8-12
(12)
[-12 12
Answer:
{-12,12}
Step-by-step explanation:
it looks like that I guess
Can you guys please solve this problem.
Answer:
x=4
Step-by-step explanation:
5 + 9 = 6x - 10
14 = 6x - 10
6x = 24
x = 4
Answer:
[tex]6x - 10 = 5 + 9 \\ 6x - 10 = 14 \\ 6x = 14 + 10 \\ x= \frac{24}{6} \\ x = 4[/tex]
Molly's hair was 20 inches long. Three years later it was 53 inches long. What was the percent increase, to the nearest hundredth, of Molly's hair length.
Find how much it grew:
53 - 20 = 33 inches.
Divide the amount it grew by the original length
33/20 = 1.65
Subtract 1:
1.65 - 1 = 0.65
Multiply by 100 for percent:
0.65 x 100 = 65%
The percent increase is 65%
Which expression is equivalent to 4 x 4 x 4 x 5 x 5 ?
Answer:
4³×5² or 4³5²
Step-by-step explanation:
This is because there are three consecutive 4s, so you have to put the 4 into exponential form 3 times. So the exponential form for the 4s will be 4³. There are also 2 consecutive 5s so you have to include 2 in the exponential form. So, the exponential form of the 5s is 5². Now you have to somehow multiply them together. You could do this by putting a multiplication sign, (4³×5²) or you could bunch them together and it will mean the same thing (4³5²).
Hope this helps :)
If dm=12 find dc and cm
Kala purchased a prepaid phone card for $25. Long distance calls cost 8 cents a minute using this card. Kala used her card only once to make a long distance call. If the remaining credit on her card is $21.48, how many minutes did her call last?
Answer:
44 minutes
Step-by-step explanation:
25.00-21.48=3.52
this means she used $3.52
which is 352 cents.
Each minute is 8 cents so 352/8 = 44
Work out the percentage change to 2 decimal places when a price of £125.99 is increased to £150.
Answer:
Percent change is 19.06%
Step-by-step explanation:
It is given that:
Price before change = £125.99
Price after increase = £150
Change = 150 - 125.99 = £24.01
Percent of change = [tex]\frac{Change}{Price\ before\ change}*100[/tex]
Percent of change = [tex]\frac{24.01}{125.99} * 100[/tex]
Percent of change = 0.1906 * 100
Percent of change = 19.06%
Therefore,
Percent change is 19.06%
Answer:
19.06
Step-by-step explanation:
write the linear equation in slope intercept form.
4x+y=1
Answer: y=-4x+1
Step-by-step explanation:
The slope-intercept form of a line is y=mx+b. Therefore, y needs to be on one side of the equation, and the x term and constant need to be on the other. Rearrange the equation to make this true:
4x+y=1
(4x+y)-4x=1-4x
y=1-4x
y=-4x+1
1. A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a
square. The larger square has side lengths that are three inches longer than the smaller square.
(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of
equations that models this scenario.
(b) Solve the system of equations and determine the lengths of the two pieces of wire.
Answer:
1: So one side is 5
2: Other side is 2
Step-by-step explanation:
1)
4(x+3)+4x=28
Solve
4x+12+4x=28
Combine
8x+12=28
Isolate
8x=16
Isolate
x=2
Substitute
4(2+3)=20
4*2=8
Now find each side
20/4=5
8/4=2
PLZZZZZZZZZZZ HELP
In a recent year, 42% of all college students were enrolled part-time. If 8.9 million college students were enrolled part-time that year, what was the total number of college students?
Round your answer to the nearest million.
Answer:
A.what was the total number of college students?
B.42%,8.9
C.multiplacation
D. 0.42x8.9=N
E. 0.42×8.9=3,738,000
F.Round your answer to the nearest million.
4,000,000
G. 4,000,000 Is the total number of collage student
I'm just A Beginner｡◕‿◕｡
Answer:
21 million college students
Matt is given 9/10 hours to shovel a driveway. He only uses 2/3 of the given time to shovel the driveway. How much time is left?
Answer:
0.23333333333
Step-by-step explanation:
Answer:
7/30
Step-by-step explanation:
first make them both have common denominator
9/10= 27/30
2/3=20/30
they both go into 30 then subtract 27/30 and 20/30
21 The graph of an exponential function is shown on the grid.
Based on the graph, which statement about the function is true?
A The range is the set of all real numbers less than 0.
B The domain is the set of all real numbers greater than-4.
C The range is the set of all real numbers greater than 0.
D The domain is the set of all real numbers less than-4.
Answer:
C The range is the set of all real numbers greater than 0.Step-by-step explanation:
We see that the function has positive range and no restriction of domain.
A The range is the set of all real numbers less than 0.
Incorrect, positive values onlyB The domain is the set of all real numbers greater than-4.
Incorrect, the domain can get any valueC The range is the set of all real numbers greater than 0.
Correct, the range is restricted to positive valuesD The domain is the set of all real numbers less than-4.
Incorrect, no restrictionsAnswer:
C is the correct answer!!
Step-by-step explanation:
hope this helped!!