Answer:
The radius of the base of the small cone is 3 feet
Step-by-step explanation:
The question requires the determination of the radius of the smaller cone
Therefore, height of the larger cone = 10 feet
Base diameter of the larger cone = 10 feet
Height of horizontal plane of small plane above base of larger cone = 4 feet
Hence the height of the small cone = 6 feet
Therefore, by similar triangles, and tangents we have;
[tex]\frac{Height \, of \, small \, cone}{Height \, of \, larger\, cone} =\frac{Diameter \, of \, base \, of \, small \, cone}{Diameter \, of \, base \, of \, larger \ cone} =\frac{6}{10} = \frac{x}{10}[/tex]
Where:
x = The diameter of the base of the small cone
Therefore;
[tex]{x} = \frac{6}{10} \times 10 = 6 \, feet[/tex]
The radius of the base of the small cone = half the diameter of the base of the small cone
∴ The radius of the base of the small cone = (6 feet)/2 = 3 feet.
Answer:
the radius would be 3
Step-by-step explanation:
so what it's saying si there;s a cone with diameter 10 and height 10, the 4 feet above the bottom of the cone is the base of the smaller cone. The height of the smaller cone becomes 6, making the diameter 6 as the ratio becomes 6:6, and radius is diameter/2 becoming 3
When 25
218 x+2y-3x+12y+3) is simplified, what is the resulting expression?
1
17 / 3x + 27 3y + 6
Pox+2y+6
10x + 8 - 3y + 6
1
x
4Y+3
Answer:
[tex]\frac{25}{215x+14y+3}[/tex]
Step-by-step explanation:
When 25 218 x+2y-3x+12y+3) is simplified, what is the resulting expression? 1 17 / 3x + 27 3y + 6 Pox+2y+6 10x + 8 - 3y + 6 1 x 4Y+3.
[tex]\frac{25}{215x+14y+3}[/tex]
Please tell me the answer.
Answer:
-The measure of [tex]\angle A[/tex] :
[tex]\angle A = 144\textdegree[/tex]
-The measure of [tex]\angle B[/tex] (if needed):
[tex]\angle B = 144\textdegree[/tex]
Step-by-step explanation:
-Set the measure of [tex]\angle A[/tex] on one side and set the measure of [tex]\angle B[/tex] on the other side and it will be written as:
[tex]10x + 24 = 6x + 72[/tex]
-Then, solve for [tex]x[/tex] :
[tex]10x + 24 = 6x + 72[/tex]
[tex]10x + 24 - 6x = 6x - 6x + 72[/tex]
[tex]4x + 24 = 72[/tex]
[tex]4x + 24 - 24 = 72 - 24[/tex]
[tex]4x = 48[/tex]
[tex]\frac{4x}{4} = \frac{48}{4}[/tex]
[tex]x = 12[/tex]
-After you have found the value of [tex]x[/tex], plug in both the measure of [tex]\angle A[/tex] and [tex]\angle B[/tex] in order to get the actual angle measurement of [tex]\angle A[/tex] and [tex]\angle B[/tex] :
Finding the measure of [tex]\angle A[/tex] :
[tex]\angle A = 10(12) + 24[/tex]
[tex]\angle A = 120 + 24[/tex]
[tex]\angle A = 144\textdegree[/tex]
Finding the measure of [tex]\angle B[/tex] :
[tex]\angle B = 6(12) + 72[/tex]
[tex]\angle B = 72 + 72[/tex]
[tex]\angle B = 144\textdegree[/tex]
-Notice: That reason why both [tex]\angle A[/tex] and [tex]\angle B[/tex] have the same measurements, its because they are Alternate Exterior Angles, based on the diagram shown.
Can someone please please help
Answer:No
Step-by-step explanation:The side lengths do not make a right triangle, so it can't be tangent.
Becky's mother works in an office, and her father works in a hospital. They both walk to work from home every day. Each unit on the graph is equal
to 1 block
Becky's mother walks
to reach her office, which is
farther than Becky's father walks to reach the hospital,
Answer:
I think she walks 14 blocks to get to her office and 4 blocks to reach the hospital. I had this question too and i figured it out
Step-by-step explanation:
hope this helped :3 have a nice day!! :) :)
Answer:
14 block , 4 block
Step-by-step explanation:
in a 400 page manuscript, there are 200 randomly distributed misprints if a page is selected, find the probability that it has 1 misprint
please show work
Answer:
½
Step-by-step explanation:
The probabliliry of picking a misprint is gotten by dividing the number of misprints by the total number of pages in the manuscript.
There are 200 randomly placed misprints in the 400 page manuscript.
Therefore, the probability of picking a misprint is:
200 / 400 = ½
If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?
Answer:
8 units
Step-by-step explanation:
Hello!
So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that c = [tex]\sqrt{{a}^2 + b^{2} }[/tex], where c is the hypotenuse and a and b are the legs of the triangle.
So, from the problem, if c = 17 and a = 15, then, we're solving for b. So we'll rewrite the theorem to solve for b.
[tex]{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}[/tex]
Okay, so now we have isolated the theorem for b. Let's plug in our values for c and a.
[tex]b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8[/tex]
So, using the theorem, we found b = 8. To check our work, let's plug in b and a and solve for c.
[tex]c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\[/tex]
So, we got our hypotenuse to equal 17 units, which is correct! So, our b is correct too. Awesome
Jacob is a registered nurse. He earns $68,000 per year. He must pay a $30 in taxes every $100 he earns. How much is Jacob's net income?
Answer:
$47,600
Step-by-step explanation:
Net income = total revenue - total expenses
NI= 68000 - (30)(680)
NI=68000-20400
NI=47600
I need help now please .
AABC is a right triangle. If AC = 12 and BC =
13, find AB.
5
25
2
18
Answer:
The answer is AB=5.
The following represents a tetrahedron.
Which of the following nets could be folded on the edges to form a tetrahedron? Select all that apply.
Answer:
It's the second and third one!!
Step-by-step explanation:
Answer:
1 and 3
Step-by-step explanation:
A bag of potatoes weights 30 lb. If 74% of a potato is water, how many pounds of water are there in the bag?
Answer: There are 22.2 pounds of water in the bag.
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the total weight of the bag by the water percentage in decimal form (divided by 100).
Mathematically speaking:
30 x (74/100) = 30 x 0.74 =22.2 pounds
There are 22.2 pounds of water in the bag.
Feel free to ask for more if needed or if you did not understand something.
Answer:
22.2
Step-by-step explanation:
A circular swimming pool is 21 feet in diameter. What is the circumference
of the swimming pool? *
Answer:
66 feet
Step-by-step explanation:
diameter = 21 feet
circumference of circle = 2πr or πd
circumference of swimming pool = 22/7 * 21
= 22 * 3
= 66 feet
Hope this year is useful!!
A school club had a T-shirt sale to raise money. After the sale, an inventory showed that 108 blue T-shirts and 96 green T-shirts had been sold. The sizes of these T-shirts included 60 small, 86 medium, and 58 large. Which table correctly represents the data? *
A
B
C
D
Answer:
B
Step-by-step explanation:
a table must have 108 blue shirts in total and 96 green shirts
first you add them to find out if the blue shirts have 108
you also need to make sure if green has 96 shirts too
i hope this was helpful
please please solve this your finding x problem is easy i hope
Answer:
71
Step-by-step explanation:
its an isosceles triangle, as we can tell from the sides, that means that 2 angles are the same size as well. a triangle has 180 degrees.
180-38=142
142/2=71
check
71+71+38=180
that means x=71 degrees
hope this helps!!
Answer:
x = 71
Step-by-step explanation:
The triangle has 2 congruent sides and is isosceles.
Thus the 2 base angles are congruent, so
x = [tex]\frac{180-38}{2}[/tex] = [tex]\frac{142}{2}[/tex] = 71
Which fraction is equivalent to
-3/2
Answer:
Examples are below
Step-by-step explanation:
-6/4, -9/6, -15/10, -18,12, and -24/16
Answer:
12/8
Step-by-step explanation:
one of the numbers wasn't taken so. Yeah.
Which product is less than 5/8
Answer: 4/8
Step-by-step explanation:
Tony wants to buy a ticket for $15.75. He has $9.25. At least how much money do you earn to buy the ticket?
Thank you!
Answer:
6.50
Step-by-step explanation:
15.75-9.25=6.5
A particular type of cell increases by 75% in number every hour. Find the number of cells present at the end of 12 hours if there are initially 4 of these cells?
We have been given that a particular type of cell increases by 75% in number every hour. We are asked to find the number of cells present at the end of 12 hours if there are initially 4 of these cells.
We will use exponential growth formula to solve our given problem.
[tex]y=a\cdot (1+r)^x[/tex], where,
y = Final amount,
a = Initial amount,
r = Growth rate in decimal form,
x = Time.
[tex]75\%=\frac{75}{100}=0.75[/tex]
Upon substituting initial value [tex]a=4[/tex] and [tex]x=12[/tex] in above formula, we will get:
[tex]y=4\cdot (1+0.75)^{12}[/tex]
[tex]y=4\cdot (1.75)^{12}[/tex]
[tex]y=4\cdot 825.0050068497657776[/tex]
[tex]y=3300.020027[/tex]
[tex]y\approx 3300[/tex]
Therefore, there will be approximately 3300 cells at the end of 12 hours.
find the value of x
Answer:
Step-by-step explanation:
16
What is the distance between points A and B?
-6 units
- 1 units
5 units
6 units
The correct option is Option D: The distance between A and B is 6 units.
What is a number line?The number line infinitely extended straight line where the integers are pointed by the distance of 1 unit.
What is the distance between two points on the number line?The distance between two points x and y on the number line will be = y-x
Here given in the question, A and B are two points given in the number line.
A has a position on -5.
and B has the position on 1.
We have to calculate the distance between these two points using the above formula
The distance between A and B is = B-A = 1-(-5)= 1 + 5= 6 units
Therefore the correct option is Option D: The distance between A and B is 6 units.
Learn more about the number line
here: https://brainly.com/question/24644930
#SPJ2
Here the question was incomplete. Below you will find the missing content/ graph/ options.
What is the distance between points A and B?
What is the distance between points A and B?-6 units
What is the distance between points A and B?-6 units- 1 unit
What is the distance between points A and B?-6 units- 1 unit5 units
What is the distance between points A and B?-6 units- 1 unit5 units6 units
What is the distance between points A and B?-6 units- 1 unit5 units6 unitsThe missing picture is attached below.
The organizers of a crossword competition stated the rules for how many participants would win prizes. The rules sald one of every three would
win a prize.
Which ratlo is equivalent to the ratio in this situation?
A.
10/5
B.
5/15
C.
12/3
D.
2/8
Answer: B
Step-by-step explanation: What is equivilent to 1/3? 1/3 * 5/5 = 5/15
A bucket contains 5 green tennis balls, 2 yellow tennis balls, and 6 red tennis balls. Tony removes 3 tennis balls, with replacement, from the bucket shown. What is the probability that the first tennis ball is yellow, the second tennis ball is green, and the third tennis ball is red
Answer:
i cant see the answers but i did the math is 60/156 there
Step-by-step explanation:
What is the value of y?
A. 630
B. 126°
C. 73°
D. 54°
Answer:
y = 63
Step-by-step explanation:
The sum of the angles of a triangle is 180
54+y+y = 180
Combine like terms
2y+54 = 180
Subtract 54 from each side
2y+54-54= 180-54
2y =126
Divide each side by 2
2y/2 = 126/2
y =63
Answer:
A. 63 degrees
Step-by-step explanation:
All angles added together would equal 180. We have two angles that equal y and a third that has 54. Our first step:
180-54=126
Both of the y angles equal 126. We want a separate value though, so we divide this by two.
126/2=63
Thus, A is our answer
What is distributive property of 7(5b +8)
Answer:
35b+56
Step-by-step explanation:
First, split the equation.
To do this, take 5b and 8, and make each of those their own little parentheses. Those would both be multiplied by 7.
7(5b) + 7(8)
Multiply out.
35b + 56
b) Write 25 x 10^6 in standard form.
Answer:
25,000,000
Step-by-step explanation:
Hope this helps!!!
Find the value of x will give brainiest whoever answers first
Answer:
i think its 80
Answer:
80⁰
Step-by-step explanation:
x = sum of alternate angles
x = 50 + 30
x = 80⁰
What is the interquartile range of the data set (WILL MARK BRAINLIEST)
20,25,30,30,31,40,41,49
median=30.5
Q¹= 27.5
Q³=40.5
40.5-27.5= 13 IQR = 13
How many boxes of fish can fit in the shipping box? Explain your answer, will give brainlest!
Answer:
2340 boxes
Step-by-step explanation:
to find out how many boxes or cans fit there u need to know the volume of the box and the cans or boxes
v= l*w*h
v= volume
l=length
w=width
h=height
first lets find the volume of one can or box of fish food
the length, the width, and the height are the same which is 1/4, so cube 1/4 or 1/4*1/4*1/4
1/4*1/4*1/4= 1/16 *1/4= 1/64
Now u have to find the volume of the shipping box, so the length is 3 3/4, the width is 3, and the height is 3 1/4
3 3/4*3*3 1/4= 15/4*3/1*13/4
15/4*3/1*13/4= 45/4*13/4 = 585/16
now divided the volume of shipping box by the volume of fish food boxes
585/16 divided by 1/64 and now u do the KFC or the keep flip change
u keep the 585/16 and then flip the sign to multiplication and then change the last number to 64/1
585/16 times 64/1= 37440/16 or 2340
What is the value of m
Answer:
The value of m has to be found within an equation or it has a given value alreadu.
Step-by-step explanation:
The volume of the following figure is 240in² Which of the following is the missing side length?
Answer:
8 in
Step-by-step explanation:
The formula to find the volume of a rectangular prism is l · w · h.
l = ?
w = 6 in
h = 5 in
We know the volume of the following figure is equal to 240 and so we can set up an equation where we solve for l (length).
l · 6 · 5 = 240
To get l by itself, you divide 240 by 6 and then by 5 to get your answer.
l = 8
We can check our work here by multiplying 8 · 6 · 5 which gives us the correct 240.