This question is incomplete
Complete Question
Hal says the volume of the sphere shown below is 36 cm³.Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal's likely error? Use the drop-down menus to explain your answer.
Radius of the sphere = 3 cm
Answer:
a) The volume of the sphere = 113cm³
b) Hal's likely error was :
He used the wrong formula and did not make use of π = 3.14 in his calculation.
Step-by-step explanation:
a) The Volume of a Sphere = 4/3πr³
The radius of the sphere = 3cm
π = 3.14
The volume of the sphere = 4/3 × 3.14 × 3³
= 113.04 cm³
Approximately to the nearest hundredth = 113cm³.
b) Hal's likely error comes in two forms:
1) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)
ii) Also he did not use π in his calculation.
This means Hal's calculation=
Surface Area of a Sphere = 4πr²
But Hal's used = 4r²
Where r = 3cm = 4 × (3cm)²= 36 cm³
This is wrong.
Heather's family has 2 adults and 3 kids. The tickets to the musical cost them $72.85.
Carl's family, on the other hand, paid $94.75 for 2 adults and 5 kids. How much higher
was the cost of an adult's ticket compared to a kid's ticket? Let the cost of an adult's
ticket be x and the cost of a kid's ticket be y.
Answer:
$9.05
Step-by-step explanation:
x = $adult
y = $kid
2x + 3y = 72.85 (Heather)
2x + 5y = 94.75 (Carl)
subtract the equations to get:
-2y = -21.90
y = 10.95
solve for 'x':
2x + 3(10.95) = 72.85
2x + 32.85 = 72.85
2x = 40
x = 20
Difference between 20 and 10.95 is $9.05
how do i find the unit rate?
Consider a triangle ABC like the one below. Suppose that =C109°, =a46, and =b36. (The figure is not drawn to scale.) Solve the triangle
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
Answer:
Step-by-step explanation:
take 109 degree as reference angle
using sin rule
sin 109=opposite/hypotenuse
0.94=c/36
c=0.94*36
c=33.84
c=33.8
HELPPPPP !!!!!! WILL MARK BRAINLEST
Answer: A
Step-by-step explanation:
What is the length of CD?
Round to one decimal place.
C
5.6
4
A
B
D
5.1
Answer:
CD = 4.4
Step-by-step explanation:
AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:
CD/CA = DB/AB
CD = ?
CA = 5.6
DB = 4
AB = 5.1
Therefore:
CD/5.6 = 4/5.1
Cross multiply
CD*5.1 = 4*5.6
CD*5.1 = 22.4
Divide both sides by 5.1
CD = 22.4/5.1
CD = 4.39215686
CD = 4.4 (1 decimal place)
Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17) .
f(x)=
Answer:
Step-by-step explanation:
Given,
Vertex (h, k ) = (1,0)
Now,
We know,
f(x) = a(x-h)²+k
Since, it passess through (2, −17)
Put x = 2 and y = - 17
or, -17 = a(2 - 1)² + 0
or, -17 = a
Now,
f(x) = a(x - h)² + k
= -17(x - 1)² + 0
= -17x² + 34x - 17
hey! i’ll give brainliest please help
please please help me!!
Note: Angles not necessarily drawn to scale
Answer:
for finding x
x+133=180(being linear pair)
x=180-133
x=47 degree
Step-by-step explanation:
Answer:
47°
Step-by-step explanation:
→ Work out APD
133°
→ Find the sum of APC and DPB
360 - ( 133 + 133 ) = 94
→ Divide the answer by 2
94 ÷ 2 = 47°
The ratio of the measurement of an angle to its complement is 1: 2. Find the measurement of the angle and it’s complement.
Answer:
1.x=90 degrees
2.smaller angles =30
3.larger angles =(30×2)=60
Step-by-step explanation:
Complement angle=90 degrees
90/3 (because need to separate into 3 parts) =30 degrees
1part =30 degrees
1:2
(1×30):(2×30)
30:60
What is the value of the expression below?
Answer:
D. 2
Step-by-step explanation:
Multiply the exponents to simply equation
5/3 * 1/5 = 5/15 = 1/3
8^1/3 = 2
Cube root of 8 is 2
does anybody know how to solve this problem?
Answer:BC=68
DE=36
CE=34
Step-by-step explanation:
Since D, E and F are the midpoints, they follow the midpoint theorm which states that "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." As for others, it's just the calculation.
HELPPPPP PLEASEEEE HELPPPPP HELPPPP HELPPPPPPPPP
Answer:
x = 6
m∡ABC = 135°
Step-by-step explanation:
∡ABE ≅ ∡CBD therefore we can create the following equation:
3x + 27 = 45
3x = 18
x = 6
∡CBD and ∡ABC are supplementary so 180 - ∡CBD = m∡ABC
180 - 45 = m∡ABC
m∡ABC = 135°
use logarithm table to solve (0.7634)^4
Answer:
[tex]y = {(0.7634)}^{4} \\ log(y) = 4 log(0.7634) \\ log(y) = - 0.46899 \\ y = {10}^{ - 0.46899} \\ y = 0.3396[/tex]
what is
[tex] \frac{1}{4} + \frac{3}{10} + \frac{5}{21} [/tex]
show full work
thanks
Step-by-step explanation:
1/4+3/10+5/21
105+42+100/420
=247/420
=0.588
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
[tex]\longrightarrow \dfrac{247}{420} [/tex]
or
[tex]\longrightarrow0.588[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
What is m<1?
A. 21°
B. 23°
C. 24°
Hi there!
[tex]\large\boxed{\text{B. }23^o}[/tex]
According to a circle theorem:
m∠1 = 1/2(a - b) where a and b are angles.
Thus:
m∠1 = 1/2(94 - 48)
Simplify:
m∠1 = 1/2(46) = 23°. The answer is B.
If 5x + 2 = 17, then 12x =____?
36
Step-by-step explanation:
5x is 15
x is 3
12 times 3 is 36
Answer:
5x + 2 = 17
5x = 17 - 2
5x = 15
x = 3
Therfore, 12x = 12 (3) = 36
what is the result of subtracting the second equation from the first?
2x+7y=-8 - 2x-5y=-1
Answer:
12y = -7
Step-by-step explanation:
4 people can stay in a hotel for 5 days for $ 240. Find the bill for 5 people staying in
the hotel for a week
Answer:
$420
Step-by-step explanation:
Divide to isolate the cost
240 / 4 = 60 - amount per person (for 4 people)
60 / 5 = 12 - amount per person per day (5 days)
Multiply using that cost and new values.
12 x 5 = 60
60 x 7 = 420
write an explicit rule for the nth term of the sequence 40, 43, 46, 49, ...
Answer:
40 + 3n
Step-by-step explanation:
40 is starting number
3n is 3 times the number in the sequence because it goes up by 3 each term
At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in her department—11 males and 14 females. The employer wants to know how many ways there are to give vacation hours to 6 of the employees. How many possible groups of 6 employees can the employer choose?
Answer: There are 177100 possible groups.
Step-by-step explanation:
Given: Total employees = 25
Number of employees wants to choose = 6
The combination of n things taken r at a time is given by:-
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Put n = 25 and r= 6, we get
[tex]^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100[/tex]
Hence, there are 177100 possible groups.
please help me out with this equation!
i will mark you as brainliest
Answer:
A)-19,15,-9,-1,9
Step-by-step explanation:
that's the answer when I compute it
===================================================
Explanation:
If we plug in x = -2, then we get,
y = x^2 + 7x - 9
y = (-2)^2 + 7(-2) - 9
y = 4 - 14 - 9
y = -10 - 9
y = -19
So x = -2 leads to y = -19. The answer is between A and D.
---------
If you repeat those steps for x = -1, then you should get y = -15
Then x = 0 leads to y = -9
x = 1 leads to y = -1
Finally, x = 2 leads to y = 9
The outputs we get are: -19, -15, -9, -1, 9 which is choice A
Choice D is fairly close, but we won't have a second copy of -15, and we don't have an output of -19.
12) What value of x makes : f(x) = 30
Answer:
f(5) = 30 so x=5
Step-by-step explanation:
We want to find the value of x which makes the y value of the function 30
Looking at the graph x=5 makes y=30
A sphere has the radius of 5 meters. Find the volume . Use 3.14 for pi
The first thing we need is the formula. SO what's the formula? the formula for Volume of all geometry object is Base * height, but because this is a sphere. The formula is actually 4/3πr^3! Remember, we also need units. so lets start solving. The radius is 5 meters so . 4/3π*5m^3. Therefore we have about 523.6meters^3. Hope you like my question
Answer = 523.6meters^3
The volume of the given sphere with radius 5 meters is given by 523.33 m³.
What is Volume?Any three-dimensional solid's volume is the area it takes up. The shapes of these solids include cubes, cuboids, cones, cylinders, and spheres. Forms come in a wide range of volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylinders, cones, and more.
As per the given data:
Radius of the sphere = 5 meters
Value of π as given in the question = 3.14
{always use the same value of π as given in the question}
For finding the volume of a sphere with a given radius:
[tex]V = \frac43 \pi r^3[/tex] {where r is the radius}
[tex]V = \frac43 \times 3.14 \times 5^3[/tex]
V = 523.33 m³
Hence, The volume of the given sphere with radius 5 meters is given by 523.33 m³.
Learn more about Volume here:
brainly.com/question/13338592
#SPJ3
Between 06 00 and 10 00,the same day, the volume of water in a reservoir decreased from 24 000 L to 18 000 L. What was the average rate of decrease in volume of water, giving your answer in L/h ?
Answer:
Step-by-step explanation:
Given,
Time taken (t) = 10 - 6 = 4hrs
Water decreased (V) = 24000l - 18000l = 6000l
Now,
average rate of decrase (Avg) = V/t = 6000l/4 =1500 L/h
B. The sum of 3 and a number is -2, what is the number?
‼️ PLEASEEE HELPPP ‼️
Answer:
take out x+60 and = x+54 cross multiply for starters
The table and the graph below each show a different relationship between the same two variables, x and y: How much more would the value of y be on the graph than its value in the table when x = 12? (1 point) a 20 b 30 c 60 d 70
Answer:
c. 60
Step-by-step explanation:
in the table :
x = 12 , y = 12×25=300
on the graph :
x= 12 , y = 12×30=360
so, the difference is 360-300 = 60
In table
Rate of change
(125-100)/(5-4)25Whne x=12
y=12(25)=300In graph
Rate of change
(120-60)/230When x=12
y=12(30)=360
Difference
360-300=60Please help me I don’t understand it and I really need help.
Answer:
b
Step-by-step explanation:
HELP ME!! First to answer gets brainiest!!!
Answer:
11 1/5 minutes
Step-by-step explanation:
All you have to do is add up all the songs together.
3 1/2 = 3 30/60
2 57/60= 2 57/60
4 3/4 = 4 45/60
Add this all up
9 132/60
11 12/60
11 1/5
11 1/5 minutes
If this helps please mark as brainliest