1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pashok25 [27]
2 years ago
7

Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of

the cone and no more. The cone has a height of 4.5 inches and a radius of 1.5 inches.
Mathematics
2 answers:
stepladder [879]2 years ago
8 0
The answer is 10.6 cubic inches.

The formula for a volume of the cone is V = 1/3 π r² h,
where:
V - the volume of the cone,
<span>r - radius of the cone base,
</span>h - height of the cone.

It is given:
h = 4.5 in
r = 1.5 in.
π = 3.14

If:
<span>V = 1/3 π r² h,
</span>Then:
V = 1/3 × 3.14 × (1.5 in)² × 4.5 in
V = 1/3 × 3.14 × 2.25 × 4.5 in³
V = 10.6 in³

Therefore, Judy's sugar cone can hold 10.6 <span> in³.</span>
umka2103 [35]2 years ago
5 0

B) 10.6 cubic inches

You might be interested in
Chang made $156 for 13 hours of work at the same rate, how many hours would he have to work to make $108?
sdas [7]

Answer:

  9 hours

Step-by-step explanation:

"At the same rate" means time and wages are proportional.

  time/wages = t/$108 = (13 h)/$156

  t = 108(13 h)/156 . . . . . . . . . . . . . . . units of dollars cancel

  t = 9 h

Chang would have to work 9 hours to make $108.

8 0
2 years ago
Use the following scenario to answer the question below:
Stolb23 [73]

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

We need the answer in cubic centimeters. So let's convert 350 cubic inches to cubic centimeters. We will do it unit conversion way (the long way).

We will write cubic inches as three inches side-by-side

350 in^3

<h3>What is the ratio of the centimeter?</h3>

This way, we can multiply this by the ratio of centimeters to inches [2.54 cm = 1 inch], so that the units cancel and we have cubic centimeters (what we desire).

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in

So, we can cancel the three inches top and bottom thus we have the answer in centimeters cubed. And the value is

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in.

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in=5735.47.

So 350 cubic inches is approximately 5735.5 cubic centimeters (rounded to 1 decimal place).

This is larger than a 5500 cubic centimeters engine.

5735.5-5500=235.5cubic centimeters.

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

To learn more about the significant figures visit:

brainly.com/question/24491627

#SPJ1

6 0
2 years ago
Find the measure of d.
ad-work [718]

Answer:

d = 123

Step-by-step explanation:

The given figure above is an inscribed quadrilateral with all four vertices lying on the given circle, thereby forming chords each.

Therefore, the opposite angles of the above quadrilateral are supplementary.

This means:

c + 31 = 180 , and

d + 57 = 180

Find the measure of d:

d + 57 = 180

Subtract 57 from both sides.

d + 57 - 57 = 180 - 57

d = 123

3 0
2 years ago
A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the f
Vitek1552 [10]

Answer:

P(X\cap Y\cap Z)=0.05

Step-by-step explanation:

From the question we are told that:

Percentage of audience in first concert P(X)=0.28

Percentage of audience in second concert P(Y)=0.42

Percentage of audience in third concert P(Z)=0.30

Audience Percentage at at-least one concert P(X \cup Y \cup Z)=0.80

Percentage of audience at first & second concert P(X \cap Y)=0.10

Percentage of audience in first & third concert P(X \cap Z)=0.08

Percentage of audience in second & third concert P(Y\cap Z)=0.07

 

Generally the equation for probability of attending all concerts P(X\cap Y\cap Z)is mathematically given by

P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)

P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)

P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70

P(X\cap Y\cap Z)=0.05

Therefore the probability that a randomly selected audient attended all the concerts

P(X\cap Y\cap Z)=0.05

8 0
3 years ago
Help!!! Asap!! Will give out brainliest!! Need to explain how you did it please and thanks!! Just look at the picture attached!!
Softa [21]

9514 1404 393

Answer:

  C  f(x) = {4e^x -5, ..., -x +7, ...

Step-by-step explanation:

The easiest portion to check is the constant section in the interval [0, 6]. All of the function definitions agree on that, so that doesn't help choose the right answer.

__

Next easiest is the linear section at the right. It has a negative slope. Extension of the line to the y-axis shows it has a positive y-intercept. This eliminates choices A and D.

__

The horizontal asymptote of the exponential portion at the left is -5. Both of the remaining choices B and C agree on that. The exponential is increasing at an increasing rate, so its coefficient is positive. This eliminates choice B.

The appropriate description of the function on the graph is offered by choice C.

_____

The graph below plots the function. We note that the given graph seems to show the exponential curve incorrectly.

4 0
3 years ago
Other questions:
  • 5 STARS IF CORRECT! Can you translate a phrase or sentence into symbols? Explain the answer.
    14·1 answer
  • Is 95.045 greater than 19.545
    12·1 answer
  • Susie ran a total of 181.8 minutes in 9 days. If she ran for the same amount of time each day, how many minutes did she run per
    5·1 answer
  • The isotope known as carbon-14 is radioactive and will decay into the stable form nitrogen-14. As long as an organism is alive,
    10·1 answer
  • Five percent is the same as 1:20?
    5·1 answer
  • What is 35 - (0.35 x 100)
    10·1 answer
  • I need help fast can someone please help
    8·2 answers
  • Who wants to leave the Big Woods because there are too many people there?
    8·1 answer
  • Select the correct answer. If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
    13·2 answers
  • Emily needs 12 cups of fruit juice for a punch recipe. The juice comes in quart bottles. How many bottles of juice should Emily
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!