Answer:
15
Step-by-step explanation:
471.3 = 3.142×10×H
H= 471.3÷31.42
H=15
Maria is making a candle in the shape of a cylinder. she wants the candle to have a height of 3 cm and a radius of 2 cm. how much wax does maria need? 12pi cm3 12pi cm2 18pi cm3 20pi cm2
The amount of wax that Maria will need to fill up the cylinder in this scenario is 12pi cm3 which is denoted as option A.
What is a Cylinder?This is defined as a a three-dimensional solid that holds two parallel bases joined by a curved surface usually at a fixed point and the volume is πr²h where r is radius and h is height.
Volume = πr²h
= π × 2² × 3
= 12π cm³
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Answer:
its A
Step-by-step explanation:
Below are some perfect square root numbers. What would the next perfect square root be?
[tex] \sqrt{4} [/tex]
[tex] \sqrt{9} [/tex]
[tex] \sqrt{16} [/tex]
[tex] \sqrt{25} [/tex]
Name a diameter.
8
G
E
A
FG
С
CE
B.
AB
D
BO
Answer:
FG
Step-by-step explanation:
Hello!
A diameter is a line segment that goes through the center of a circle and touches two points on the perimeter of the circle.
Here, we see two lines that touch two points of the circle (AB and FG) but only one segment, FG, goes through the center, given by the point O.
Hence, it is Option A: FG
Regular price $174 discount
40% find the sale price round to the nearest cent if necessary
Answer:
69.6 70 to the nearest cent
Step-by-step explanation:
I don't know how to explain
Solve the inequality. | 7x + 5 | > 0
Answer:
x
=−
7
5
Step-by-step explanation:
A meal that serves 6 people contains 5,364 calories.
How many calories are in each serving?
Enter your answer in the box.
The amount of calories in each serving of the meal given the amount of calories in 6 servings is 894 calories.
What does division mean?Division is the process of obtaining the quotient of a number by grouping a number into equal parts using another number. The sign used to denote division is ÷.
How many calories are in each serving?Calories in each serving = total calories / number of people
5364 / 6 = 894 calories
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The perimeter of a rectangle is 60 cm. Its width measures
16 cm. What is its length?
Let x = the length of the rectangle. Choose the equation that represents this
problem.
O A. 2x+32 = 60
B. X+ 16 = 60
O C. 2x-32 = 60
D. 2x+ 16 = 60
Answer:
Option a :- 2x+32 = 60
Step-by-step explanation:
Formula to calculate perimeter:-- P=2(l+w)
2(l+w) = P
2l + 2w = P
2x + 2(16) = 60
2x + 32 = 60
[tex] \therefore [/tex] The equation that represents this problem = 2x+32 = 60
Which number has an absolute value
greater than |-3|? Select all that apply.
b.|-5|
c. |9|
d. |1|
e. |7|
f. l-1|
Answer:
The number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.
Absolute value of any number is simply the distance of that number from point zero (0) on a number line.
Thus,
-6 is 6 units from 0.
6 is also 6 units away from 0.
-5 is 5 units from 0.
5 is also 5 units from 0.
The absolute value of -5 is 5.
The absolute value of -6 is 6.
Therefore, the number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.
Learn more here:
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Step-by-step explanation:
plss help me quickly tyyy
either question 5 or six cus I need the explanation:)))
Find FM using Pythagoras Theorem:
We're not after c^2 using pythag - rearrange it:
It don't matter were the B or A is in the equation - it'll give u the missing length you're after.
c^2 - b^2 = a^2
8^2 - 5^2 = a^2
Square root both sides to get A on its own
A= root 8^2 - 5^2
= root 39
= 6.24499....
Or
6.24cm, but FM is root 39 I'll use throughout, even if I use 6.24 in calculations, it's to make things clearer for you.
Create diagonal line from B to E - drawing right-angle triangle A to B to E back to A.
AB is 16cm
AE is 8cm - given above
(because the triangle at the front & back are the same.)
Use Pythagoras Theorem for length BE:
a^2 + b^2 = c^2
16^2 + 8^2 = c^2
Square root
C = root 16^2 + 8^2
= 8 root 5
= 17.8885...
8 Square root 5 - I'll use for BE
Creat another triangle to find the angel -
B to E to (M between the length AD)
However, diagonal line B to M needed.
So, m is the mid-point of the base triangle, pretend to slice it in half from point M - this creates a mini rectangle. (ABM to MA - with M on side AD)
Now use this to find B to M:
(if MC is 5cm, BM is 5cm - on length BC)
C = root 16^2 + 5^2
= root 281
= 16.76305...
= 16.76
Create right-angle triangle:
Be to M back to B
BE= 8 root 5
EM = root 39
MB = root 281
So, the angle will be from EB to M.
EB is the hypotenuse
BM is the adjacent
AH means Cah, but the inverse
Cos-1(a/h)
Cos-1(root 281 / 8 root5) = 20.4326...
Thus, angle we're after is 20.43 degrees to 2.dp
(The easiest way for me to explain - it took a while)
Hope this helps!
Determine which function has the greatest rate of change as x approaches infinity. f(x) = 4x 50 g(x) = 3x − 4 h(x) = 2x2 9x − 4 there is not enough information to determine the answer.
The slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The functions are given below.
[tex]\rm f(x) = 4x+ 50\\\\ g(x) = 3x - 4 \\\\h(x) = 2x^2+ 9x- 4[/tex]
The slope of the f(x) and g(x) will be 4 and 3 respectively.
And the slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.
The graph is shown below.
More about the slope link is given below.
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A high school has 1,300 students, 320 of which are seniors. An administrator surveys 50 seniors and finds that 18 seniors plan to attend community college the year after they graduate. What is the population
The population of seniors who plan to attend community college is; 115.
Population and Sample sizeAccording to the task content;
It follows that the 50 senior students were surveyed and only 18 wanted to attend community college.On this note, the number of seniors who want to attend community college among the 320 seniors is;
(18/50) × 320 = 115.2.On this note, it follows that the number of seniors who want to attend community college is; 115 seniors.
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Find the measure of arc FD
Answer: 49 degrees
Step-by-step explanation:
Given that 2x + 1 : x + 2 = x+8 : 3x-4
Find the possible values of x.
Answer:
First we have to same the bases.
As we know 8=2^3.
Replace 8 with 2^3.
Like this .
2^3x=2^3(2x+1).
Now 3x=3(2x+1) distribute 3 by the Barker.
3x=6x+3.
6x+3=3x.
6x-3x=-3.
3x=-3.
X=-1.
Step-by-step explanation:
It is Given that 2x + 1 : x + 2 = x+8 : 3x-4 therefore, the possible value of x is -1.
How to find the system of equations needed to solve an equation?An equation usually consists of equality of two mathematical expressions. Let it be
A = B
. If we take them to be equal to third variable, then:
A = B = C
type of equation is obtained.
We can then take it as a system of two equations as:
A = C\\ B=C
The solution to this system will give us the solution to the considered equation.
The solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.
Given that 2x + 1 : x + 2 = x+8 : 3x-4
First we have to same the bases.
As we know [tex]8=2^3.[/tex]
[tex]2^{3x}=2^{3(2x+1)}.[/tex]
Now 3x=3(2x+1) distribute 3 by the Barker.
[tex]3x=6x+3.\\6x+3=3x.\\6x-3x=-3.\\3x=-3.\\x=-1.[/tex]
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1. Suppose an online retailer has determined that if a potential customer spends more than 5 minutes on their site, that the probability of them making a purchase is 0.40. If 12 customers who spent more than 5 minutes on the site were randomly selected, what is the probability that more than 7 will make a purchase
Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
There are 12 customers, hence n = 12.The probability of any of them making a purchase is of p = 0.4.The probability that more than 7 will make a purchase is given by:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{12,8}.(0.4)^{8}.(0.6)^{4} = 0.042[/tex]
[tex]P(X = 9) = C_{12,9}.(0.4)^{9}.(0.6)^{3} = 0.012[/tex]
[tex]P(X = 10) = C_{12,10}.(0.4)^{10}.(0.6)^{2} = 0.02[/tex]
[tex]P(X = 11) = C_{12,11}.(0.4)^{11}.(0.6)^{1} \approx 0[/tex]
[tex]P(X = 12) = C_{12,12}.(0.4)^{12}.(0.6)^{0} \approx 0[/tex]
Then:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.
0.056 = 5.6% probability that more than 7 will make a purchase.
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Sam confirmed there will be 192 guests at his party. He thinks each guest will eat
about .25 lb of hamburger, so he decides to order .25 x 200 = 50 lb
What did he use to determine the amount to order?
Answer:
Sam used estimation. He rounded the amount of guests (192) to the nearest hundred (200).
What is the solution to the system of equations below?
y = one-half x + 6 and y = negative three-fourths x minus 4
(–8, 2)
(–8, –1)
(8, 10)
(8, –10)
Answer:
(-8, 2)
Step-by-step explanation:
1. Set up the equations.
y = 1/2x + 6
y = -3/4x - 4
2. Set the equations to equal each other.
1/2x + 6 = -3/4x - 4
3. Move the variables to one side and the numbers to the opposite side.
6 + 4 = -3/4x - 1/2x
10 = -3/4x - 2/4x
10 = -5/4x
4. Divide 10 by -5/4.
10/ -5/4 = 10 * -4/5 (when dividing fractions, flip the fraction over)
10 * -4/5 = -40/5 = -8
x = -8
5. Plug in the x-value into one of the equations.
y = 1/2x + 6
y = 1/2(-8) + 6
y = -4 + 6
y = 2
OR
y = -3/4x - 4
y = -3/4(-8) - 4
y = 6 - 4
y = 2
A 9-foot roll of wrapping paper costs $6.03. What is the price per yard?
~Denki Kaminari here~
so what we're going to do is, find the cost of wrapping paper per foot,
6.03 divided by 9 = 0.67
now we're going to convert the 9ft into yards,
1 yard= 3ft so, there are 3 yards.
now that we know that there are 3 ft in one yard, we are going to multiply 0.67 by 3
0.67x3= 2.01
so, we got $2.01 per yard
hope this helps :D
Amana walks along oak from point a to b. to the nearest foot, how far does she walk? 75 ft 226 ft 307 ft 347 ft
Answer:
266
Step-by-step explanation:
Answer:226
Step-by-step explanation:
The ratio of the number of pineapples for a chocolate fondue dessert to people served is 1 to 5. If Deb wants to serve 80 people, how many pineapples will Deb use?
Answer:
16:80
Step-by-step explanation:
80 people * ( 1 pineapple / 5 people) = 16
The sum of 2 numbers is 8 and their difference is 2
what are the 2 numbers?
Answer:
a=5
b=3
Step-by-step explanation:
a+b=8
a-b=2
2a=10
a=5
b=3
Answer:
5 and 3
Step-by-step explanation:
Sum is addition
Difference is subtraction
5 + 3 = 8 which means the sum of these 2 numbers is 8
5 - 3 = 2 which means the difference of these 2 numbers is 2
Your experiment is using a one-tailed test with an alpha level of .05. Your alternative hypothesis predicts an increase in test scores. The correct value of z crit for this test is ____________.
Answer:
The correct value of z crit for this test is +1.645
Step-by-step explanation:
a school plans to start selling snacks at their basketball games they want to know what your snacks would be most popular
Answer:
takis
Step-by-step explanation:
everyone in gen z loves takis for some reason
A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and sea level is 90 degrees.
A boat is 122 meters from the base of a lighthouse that is 34 meters above sea level. What is the angle of elevation from the boat to the top of the lighthouse? Round to the nearest degree.
°
Answer:
about 16°
Step-by-step explanation:
Make sure your calculator is in degree mode.
Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:
[tex] \tan( \alpha ) = \frac{34}{122} [/tex]
[tex] \alpha = { \tan }^{ - 1} \frac{34}{122} = 15.57[/tex]
Answer: 16
Step-by-step explanation:
got it right on edge :)
Assuming that the availability of cherries and the availability of asparagus are independent of each other, which market should Elena choose to maximize her chance of buying both?
Answer:
north market, .44
Step-by-step explanation:
y=[? ]°
Please help me!!
Can someone please help me!
#BRAINLIEST
1- Ferald follows school rules
2- Lex and Jaye are gems
3- Jay loves adbobo and beef stew
4- Jake's best friend is his dog
5- Kim has self-discipline
airplane leaves City A and flies 142 km due north to City B. It then turns through an angle of 57° and flies 108 km to City C. What angle 8 with respect to
due north could the pilot have used to fly directly from City A to City C? See the figure below.
City
108 km
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a degree.
Answer:
24.3°
Step-by-step explanation:
A suitable calculator can add the vectors directly. (See attached.) In this calculation, bearing angles are measured clockwise from north, so the initial vector has an associated angle of 0 degrees.
__
We can find the angle of interest by considering the distances north and east that city C is from city B. The relevant trig functions are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
location of C relative to BThe direct distance from B to C is the hypotenuse of a right triangle whose right angle is at point "D" due north of B and due west of C. The distances of interest are ...
sin(57°) = DC/BC
DC = BC·sin(57°) = (108 km)sin(57°) ≈ 90.5764 km
cos(57°) = BD/BC
BD = BC·cos(57°) = (108 km)cos(57°) ≈ 58.8210 km
__
angle of C from AAnd the angle of interest can be found from ...
tan(θ) = DC/AD = (90.5764 km)/(142 km +58.8210 km) ≈ 0.451031
θ = arctan(0.451031) ≈ 24.3°
The pilot could have flown on a bearing of 24.3° to get to city C directly from city A.
_____
Additional comment
We can ignore the fact that bearing angles are measured CW from north, while conventional angles on a Cartesian plane are measured CCW from "east" (+x). Each coordinate system can be mapped to the other by flipping the map over along a NE-SW line (y=x), aligning the +x axis with north and the +y axis with east.
The diagram we used in working this problem is shown in the second attachment.
Find the total surface area of this triangular prism.
25 cm
24 cm
10 cm
14 cm
Answer:
Step-by-step explanation:
[tex]\boxed{\text{Area of triangular prism = length*(a+b+c) + 2*base area}}[/tex]
Here a, b,c are the sides of the triangle.
a = 14 cm ; b = c = 25 cm and length = 10 cm
[tex]\boxed{\text{Base area=2*$\dfrac{1}{2}*base*height$=base *height}}[/tex]
base = a = 14 cm & h = 24 cm
Base area = 14*24
= 336 cm²
Total surface area = 10*(14+25+25) + 336
= 10*64 + 336
= 640 + 336
= 976 cm²
Will give brainliest!! Can someone explain how to do this please? (Grade 10 math)
Answer:
The slop is +9, so add 9 each time
Step-by-step explanation:
What do we multiply 24 by to get a 100
Answer:
you cant do that, you can only get to 96 by multiplying 24 by 4, ill keep trying tho if you really need this
Step-by-step explanation: