find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary
9514 1404 393
Answer:
1487.31 yd³
Step-by-step explanation:
The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.
The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.
The volume of a cylinder is πr²h.
The total volume of this figure is ...
V = (2/3)πr³ + πr²h
V = πr²(2/3r +h)
V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³
The volume of the figure is about 1487.31 yd³.
Answer:
4187.31 yd³ is thr volume of a fugure
Claire went home after school and told her mother that 1 whole is the same as 2/2 and 6/6. Her mother asked why, but Claire couldn't explain. Use a number line and words to help Claire show and explain why. 1 = 2/2 = 6/6.
Fran baked 12 lemon tarts for her son, Bob. He gobbled up 4 tarts. What fraction of lemon tarts did bob eat?
Answer:
One third or 1/3
Step-by-step explanation:
Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?
Answer:
b = 3.5 cm
Step-by-step explanation:
Given that,
The area of a rectangle, A = 14. sq cm
The length of one side, l = 4 cm
We need to find the length of another side. The formula for the area of a rectangle is given by :
A = lb
So,
[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]
So, the length of the other side is equal to 3.5 cm.
Find P(4).
A 1/8
B 1/4
C 1/2
I need help asap....
Answer:
Step-by-step explanation:
From the given picture,
Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4
To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3
Statements Reasons
1). l₁ ║ l₂ and ∠2 ≅ ∠4 1). Given
2). ∠1 ≅ ∠2 2). Vertical angle theorem
3). ∠1 ≅ ∠4 3). Given
4). ∠1 ≅ ∠3 4). Corresponding angle theorem
5). ∠4 ≅ ∠3 5). Transitive property of congruence
How many six letter passwords can be made using the letters a through Z if repetition of letters is allowed
Answer:
308915776 six-letter passwords are possible with repetitions
Step-by-step explanation:
Since repetition is allowed, this means there are 26 possible choices for the first letter of the password, 26 possible choices for the second letter of the password, and so on until the sixth letter.
This can be represented as 26^6=308915776
With repetition 26⁶ passwords can be formed using the letters A to Z taken six at a time.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, The six letter passwords are formed using the letters A through Z
with repetition is Nⁿ, Where N is the total number of letters and n is is the number of letters taken at a time.
Therefore it would be,
= 26⁶ passwords.
learn more about permutation and combination here :
https://brainly.com/question/28720645
#SPJ2
Find the slope of the line through the two points. (3, 7) and (4, 9)
Answer:
2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-7)/(4-3)
m=2/1
m=2
What is the measure of ABC
Answer:
63
Step-by-step explanation:
angle abc =half of arc DE + half of arc AC
On Monday, Amanda runs 1 1/6 miles. On Tuesday, she runs 2 1/2 miles. How far did she run on both days combined?
Answer:
3 2/3 miles
Step-by-step explanation:
1 1/6 + 2 1/2 = 1 1/6 + 2 3/6 = 3 4/6 = 3 2/3
Answer: 3 2/3 miles
help pls giving branliest
Answer:
https://youtu.be/TZbTr1oBwKU
Determine whether the two expressions are equivalent
2(3c + 2) - 2c and 4c + 2
Answer:
The equations are not equivalent
Step-by-step explanation:
2(3c +2) -2c
6c + 4 - 2c
combine like terms
4c +4 does not equal 4c +2
Answer:
they are NOT equivelent
Step-by-step explanation:
2(3c+2)-2c and 4c + 2
(6c+4)-2c
4c+4>4c+2
what is the distance of 120 and -5 on a number line
Answer:
the distance between-5 to 120 on a number line is 124
Collect like terms and then arrange them in descending order.
- 4x + 8x? - 2x + 3x? + 1
Answer:
i think the answer is 5x+1 that how i was taught srry if its wrong
She starts at 37.
She makes a 10 by jumping 3 to 40.
Then she jumps 4 more to 44
Which equation did Kayleigh solve?
A. 37 - 7 = 30
B. 37 + 7 = 44
C. 37 + 3 = 40
D. 37 + 4 = 41
Answer:
B. 37 + 7 = 44
Step-by-step explanation:
If she jumps 4 more after jumping 3 to 40, means it's 4 + 3 = 7 and it reaches 44.
I need help hurry!!!!
Answer:
none of the above is a pythagorean triple
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
Answer:
Step-by-step explanation:
The Pythagorean theorem says:
[tex]a^2+b^2=c^2[/tex]
where a and b are the two legs of the triangle and c is the hypotenuse. Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:
[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]
So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.
The seventh-grade class needs to earn money for a trip to the amusement park. Of the 160 seventh-grade students, 60% participate in the fundraiser. How many students participate in the fundraiser?
We can use the formula: is/of = %/100.
% = 60
of = 160
[tex]\frac{x}{160}=\frac{60}{100}[/tex]
100x = 9600
x = 96
96 students participated in the fundraiser.
(3/4)(-4/3) = 0
True or False
Answer:
False
Step-by-step explanation:
(3/4)(-4/3)=-3/2
Answer:
true
Step-by-step explanation:
your welcome
someone please help me answer this!!1
Answer:
b = 9m is the answer.
Step-by-step explanation:
a = 12m
b = ?
c = 15m
According to the Pytagorean theorem,
a² + b² = c²
12² + b² = 15²
144 + b² = 225
b² = 225 - 144
b² = 81
b = 9
∴ The slide is 9m away from the monkey bars.
Which of these CAN be a probability of an event. CHOOSE ALL THAT APPLY!*
1.) 0.348483
2.) 1.01
3.) -1
4.) 0.99
5.) 0
6.) -0.5
Answer:
0, 0.99 and 0.348483 ( options 5, 4 & 1 )
Step-by-step explanation:
Probability of an event is between 0 & 1, including 0 & 1.
Find the area of the region (CALCULUS HELP I WILL VOTE BEST ANSWER)
I'm not sure what is meant by "partitioning the x-axis" - partition is a term more often used with computing Riemann sums. So either partitioning has a special meaning for you, or you have to approximate the area with a Riemann sum.
I'm going to assume you just want the exact area of the given region. Notice that the two curves y = 4e ˣ and y = -x + 4 intersect when x = 0 at the point (0, 4). Both curves then meet the vertical line x = 4. The exponential function is increasing while the linear one is decreasing, so 4e ˣ ≥ -x + 4.
The region is then the set of points,
R = {(x, y) | 0 ≤ x ≤ 4 and -x + 4 ≤ y ≤ 4e ˣ}
so the area is given by the integral,
[tex]\displaystyle\int_0^4 (4e^x-(-x+4))\,\mathrm dx=\int_0^4(4e^x+x-4)\,\mathrm dx=\left(4e^x+\frac{x^2}2-4x\right)\bigg|_0^4=\boxed{4e^4-12}[/tex]
Solve for x.
5(x + 1) = 4(X + 8)
Ox= 37
Ox=7
Ox=27
Ox=17
Help please
Answer:
27
Step-by-step explanation:
Giving ALOT of points for this
On Friday, three friends shared how much they read during the week.
Barbara read the first 100 pages from a 320-page in the last 4 days
Judy read the first 54 pages from a 260-page book in the last 3 days.
Nancy read the first 160 pages from a 480-page book in the last 5 days
Part A
A person’s average reading rate can be defined as the number of pages read divided by the number of days. Place the three friends’ reading rates in order from greatest to least(Show all work)
Answer:
Solution given:Barbara reads
100page in 4 days
1 day=100/4=25pages
judy reads
54pages =3days
1 day=54/3=18 pages
nancy reads
160 pages =5 days
1 day=160/5=32 pages
average page=[25+18+32]/3=25 pages per day is a required rate.
What is the value of the median in the set of data represented by the following box-and-whisker plot?
A. 10
B.15
C.14
D.15.5
Answer:
D) 15.5
Step-by-step explanation:
median is the middle line inside the 'box'
Choose all that are true. A square is a
Plsss this is timed!
Answer:
c i think ???
Step-by-step explanation:
Identify the range of the following data set.
20, 22, 58, 48, 32, 20, 23
help due tonight.. *no links please*
Answer:
supplementary angle = angle 2 and angle 3
vertical angle = angle 2 and angle 4
hope it helps
please help me asap!
Answer:
1. AC=EC=120 ft
2. Given as perpendicular
3. BC=CD
4. Perpendicular means 90° from the bridge
5. Area of Triangle same