Answer:
40 unitsStep-by-step explanation:
In the question, it is given that a right cone has a radius of 15 units and volume of 3000π units³ and we have to find the height of the cone.
[tex] \: [/tex]
To Find the height of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { \dfrac{1}{3} \: \pi {r}^{2}h ={ Volume_{(cone) }}}}}}}}} \\ \\[/tex]
Where,
r refers to the radius of the cone. h refers to the height of the cone.Now, we will substitute the values in the formula :
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \pi \times {(15)}^{2} \times h = 3000 \pi}}}}}}} \\ \\[/tex]
Cancelling π from both sides we get :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \cancel\pi \times {(15)}^{2} \times h = 3000 \cancel\pi}}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times 225 \times h = 3000}}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{225}{3} \times h = 3000}}}}}}} \\ \\[/tex]
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf 75 \times h = 3000}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf h = \frac{3000}{75} }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { h =40 }}}}}}} \\ \\[/tex]
Therefore,
The height of the cone is 40 units .Please help I put 50 points into this
Answer:
B,C,E
Step-by-step explanation:
Answer:
A, C, D
Step-by-step explanation:
A ray can have 2 endpoints
And because of that it can be named more than one way.
That means that B&E are wrong
Evaluate the difference quotient
f(x)-f(1)/X-1, where f(x)=X +5/x+1
Answer:
C) [tex]\displaystyle\frac{-2}{(x+1)}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{f(x)-f(1)}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{1+5}{1+1}}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{6}{2}}{x-1}\\\\\frac{\frac{2(x+5)}{2(x+1)}-\frac{6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2(x+5)-6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2x+10-6x-6}{2(x+1)}}{x-1}\\\\\frac{\frac{-4x+4}{2(x+1)}}{x-1}\\\\\frac{\frac{-4(x-1)}{2(x+1)}}{x-1}\\\\\frac{-4}{2(x+1)}\\ \\\frac{-2}{(x+1)}[/tex]
At a Forex Bureau, one US dollar costs Ug.sh.2800. How much Ugandan shillings will a tourist who has US dollars 600 get?
Answer:
1,680,000 shillings
Step-by-step explanation:
As one US dollar is 2800, and the dollar is repeated 600 times. You multiply Both
=2,800×600
=1,680,000 shillings
--~Hope you understood~--
Which graph represents a circle whose equation is (x+3)² + (y-1)² = 4?
Answer:
A
Step-by-step explanation:
Equation describing a circle: (x - x0)^2 + (y - y0)^2 = r^2
(x0, y0) is the centrer is short for radiusThe given equation is: (x + 3)^2 + (y - 1)^2 = 4
=> (x - (-3))^2 + (y - 1)^2 = 2^2
Coordinates of the centre: (-3, 1)Radius: 2Therefore, the answer is A.
On a map, 1 inch equals 25 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
Answer:
75 Miles apart
Step-by-step explanation:
I = inches on a map
I=25
3I=75
75 miles apart
What is the area of the triangle Base is 6 ft height is 5 ft.
Answer:
Area of a triangle = 0.5 * base * height = 0.5 * 6 * 5 = 15 sq. ft
Answer:
Area = 0.5 * base * height
0.5 * 6 * 5 = 15
Area = 15 sq ft
Captain Ashley has a ship, the H.M.S Crimson
Lynx. The ship is two furlongs from the dread
pirate Umaima and her merciless band of
thieves.
If her ship hasn't already been hit, Captain
1
Ashley has probability of hitting the pirate
2
ship. If her ship has been hit, Captain Ashley will
always miss.
If her ship hasn't already been hit, dread pirate
1
Umaima has probability of hitting the
3
Captain's ship. If her ship has been hit, dread
pirate Umaima will always miss.
If the Captain and the pirate each shoot once,
and the pirate shoots first, what is the probability
that both the pirate and the Captain hit each
other's ships?
Can someone help me with this please?
f hi I chhiring Tamang I read in hdidieje
Given ΔABC. Choose which of the following sides create a right triangle:
21
I. a=1.2,b=3.5,c=3.6
II. a=6,b=9.1,c=10.9
III. a=6,b=8,c=9
Answer:
II. a = 6 , b = 9.1 , c = 10.9
Step-by-step explanation:
I. a = 1.2 , b = 3.5 , c= 3.6
c² = a² + b²
3.6² = 1.2² + 3.5²
12.96 = 1.44 + 12.25
12.96 ≠ 13.69
These sides cannot create a right triangle.
II. a = 6 , b = 9.1 ,c = 10.9
c² = a² + b²
10.9² = 6² + 9.1²
118.81 = 36 + 82.81
118.81 = 118.81
Therefore, these sides can create a right triangle.
III. a = 6 , b = 8 , c = 9
c² = a² + b²
9² = 6² + 8²
81 = 36 + 72
81 ≠ 108
These sides cannot create a right triangle.
Which graph shows the solution to the system of linear inequalities?
Answer:
this is answer
Step-by-step explanation:
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.
[tex]x^{2} +x = 12[/tex]
answer ?
Answer:
x = 4 and x = -3
Step-by-step explanation:
⇒ x² + x = 12
⇒ x² + x - 12 = 0
⇒ x² + 3x - 4x - 12 = 0
⇒ x(x + 3) - 4(x + 3) = 0
⇒ (x - 4)(x + 3) = 0
⇒ x = 4 and x = -3
Hey there!
x^2 + x = 12
SUBTRACT 12 to BOTH SIDES
x^2 + x - 12 = 12 - 12
SIMPLIFY IT!
x^2 + x - 12 = 0
SET the FACTORS to EQUAL to 0
x - 3 = 0 OR x + 4 = 0
SIMPLIFY IT!
x = 3 or x = -4
Therefore, the answer is:
x = 3 or x = -4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Simplify: [tex]\sqrt{\frac{144}{25} }[/tex].
Answer:
[tex]\frac{12}{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{\frac{144}{25}}=\frac{\sqrt{144}}{\sqrt{25}}=\frac{12}{5}[/tex]
Given term:
[tex]\sqrt{\dfrac{144}{25} }[/tex]
This term can also be written as;
[tex]\implies \sqrt{\huge\text{(}\dfrac{144}{25} \huge\text{)}}[/tex]
Clearly, we can see that 144 and 25 are perfect squares. Then,
[tex]\implies\sqrt{\huge\text{(}\dfrac{12^{2} }{5^{2} } \huge\text{)}}[/tex]
According to an exponent property, (a²/b²) = (a/b)². Then,
[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} }[/tex]
Since 12/5 is being squared inside the root, we can remove the squared symbol and take out 12/5 from the root. Then we get;
[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} } \ = \ \dfrac{12}{5} \ = \ \boxed{2.4}[/tex]
Therefore, the simplified term is 2.4.
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Find the perimeter of the figure to the nearest hundredth. perimeter: about cm
The perimeter of the figure to the nearest hundredth is 50.26 cm.
Perimeter of a figure.The perimeter of a figure is the sum of the whole sides of the figure.
The perimeter of the figure can be found as follows:
perimeter of the figure = 12 + 5 + 5 + circumference of the semi circle
circumference of the semi circle = πr
where
r = radiusperimeter of the figure = 22 + πr
perimeter of the figure = 22 + 3.14(9)
perimeter of the figure = 22 + 28.26
perimeter of the figure = 50.26 cm
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How can these models be used to find the sum 1.8 + 1.56?
Enter your answers in the boxes.
The models show a total of 2 wholes,
tenths, and
hundredths. After regrouping 10 tenths into 1 whole, there are
wholes,
tenths, and
hundredths. Therefore, the sum of the numbers is
.
First row. One large square divided into a 10 by 10 grid of 100 small squares. Eight columns, each divided into 10 small squares. Second row. One large square divided into a 10 by 10 grid of 100 small squares. Five columns, each divided into 10 small squares. Six small squares.
Answer:
The sum of 1.8 and 1.56 is 3.36 according to the model
Sum of decimals
Given the expression 1.8 + 1.56
Using the partial sum method
1.8 + 1.56 = (1.0 + 0.8) + (1.0+0.56)
Regroup as whole and decimal number
1.8 + 1.56 = (1.0 + 1.0) + (0.8 +0.56)
1.8 + 1.56 = 2.0 + 1.36
1.8 + 1.56 = 3.36
Hence the sum of 1.8 and 1.56 is 3.36 according to the model
Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations. Create your own set of coordinates for △ B L U and graph it on a coordinate plane. Label each of the triangle's vertices. Write a scenario involving the dilation of △ B L U onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image. Graph the image on the same coordinate plane as its pre-image. Use the distance formula or Pythagorean Theorem to prove mathematically that △ B L U is similar to its image. Include all necessary calculations.
Answer:
We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABCWe want to dilate triangle ABC by scale factor of 2
Step-by-step explanation:
33. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
505 m² :519 m ²
505 m ²: 533 m ²
497 m ²: 519 m ²
497 m ²: 533 m ²
Answer: ⬇️⬇️⬇️⬇️
Lateral area = 505 m² ; Surface area = 519 m²
Hope I helped
Lateral area = Perimeter x height
Lateral area = (2 + 7 + 7.28) x 31 = 16.28 x 31 = 505 m²
Surface area = 2(1/2 x 2 x 7) + 505 = 519 m²
Answer: Lateral area = 505 m² ; Surface area = 519 m²
Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has a pH of 7, what is its H value?
Answer:
1 x 10^-7
Step-by-step explanation:
[H+] = 10^-pH
[H+] = 10^-7
Helppp I need this asap
Answer:
[tex]x = 35[/tex]
Step-by-step explanation:
We can use Similar Triangles Ratios to solve for the missing side length. First setup your ratios:
[tex]\frac{42}{6} = \frac{x}{5}\\x = \frac{42}{6} \times 5\\x = 35[/tex]
Answer:
35
Step-by-step explanation:
The sides are in proportion.
[tex]\frac{AB}{PQ} =\frac{AC}{PR}[/tex]? / 5 = 42 / 6? = 5 × 7? = 35Kasha has a spinner divided into 8 equal sections that are labeled 1 though 8. She wants to compare the theoretical probability and
the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.
{2, 4, 1, 8, 7,5, 3, 4, 1,5}
Drag and drop the answers into the boxes to correctly complete the sentences
The theoretical probability of spinning an odd number is equal to
The experimental probability of spinning an odd
number is equal to
Therefore, the theoretical probability of spinning an odd number is
the
experimental probability of spinning an odd number
3
5
greater than
less than
The theoretical probability = [tex]\frac{1}{2}[/tex], The experimental probability = [tex]\frac{3}{5}[/tex]
Less than
What is experimental probability?The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
The theoretical probability of spinning and odd number = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]
The experimental probability =[tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]
Since [tex]\frac{1}{2}[/tex]< [tex]\frac{3}{5}[/tex]
So, the theoretical probability less than the experimental probability.
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After rolling a fair 20-sided die 200 times The observed or experimental probability of rolling a 20 was 25% what will happen to the probability of rolling a 20 if the dye is ruled 10,000 more times
Answer:
Step-by-step explanation:
The theoretical probability of getting a 20 in 1 throw is 1/20 = 5%.
The more times you roll the dye the closer the experimental probability moves to the theoretical.
So the probability will get less than 25% and get closer to the theoretical 5%.
If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.
We have,
The probability of rolling a 20 on a fair 20-sided die is 1/20 or 0.05.
If the die is rolled 200 times and the observed probability of rolling a 20 is 25%,
We can calculate the number of times a 20 was actually rolled as follows:
Number of times a 20 was rolled
= Observed probability × Number of rolls
= 0.25 × 200
= 50
So, out of 200 rolls, 20 were rolled 50 times.
Now, if the die is rolled 10,000 more times, we can use the law of large numbers to expect the experimental probability of rolling a 20 to approach the true probability of 0.05.
The expected number of times a 20 will be rolled in 10,000 rolls is:
The expected number of times a 20 will be rolled
= Probability of rolling a 20 × Number of rolls
= 0.05 × 10,000
= 500
Therefore,
If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.
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An architect is designing a house. She wants the bedroom to have the dimensions of 10 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom?
The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).
Hence, the den will not have double the volume of the bedroom.
Does the den have double the volume of the bedroom?Given the dimensions in the question, the bedroom and the den takes the shape of rectangular prism.
Volume of rectangular prism is expressed as;
V = l × b × h
Given that;
Length of the bedroom l = 10ftBreadth of the bedroom B = 4ftHeight of the bedroom h = 7ftLength of the den = 2l = 2×10ft = 20ftBreadth of the den = 2B = 2×4ft = 8ftHeight of the den = 2h = 2×7ft = 14ftFirst we calculate the volume of the bedroom.
V = l × b × h
Vr = 10ft × 4ft × 7ft
Vr = 280ft³
Next, we determine the volume of the den
V = l × b × h
Vd = 20ft × 8ft × 14ft
Vd = 2240ft³
The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).
Hence, the den will not have double the volume of the bedroom.
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Steven is puiting a design that contains two repeating patterns that start in the same place. One pattern repeats every 12 inches and the other repeats every 18 inches. How many inches will it take for the patterns to begin together again?
Answer:
36
Step-by-step explanation:
So, taking 12 inches and 18 inches, we can figure out where they both meet. To do this, you want to change these number into a fraction (12/18). Simplifying this gives you 2/3. So if you flip this fraction (3/2) and then use these number and multiply them with the first numbers (so we do 3*12 and 2*18, they both equal 36, so they would both meet at 36, our final answer. they would also meet at 72, 108, 144, etc. if you were to keep going.
21 slices from 3 cakes = 84 slices from cakes equivalent rates
Answer:
12 cakes.
Step-by-step explanation:
There are 21/3 = 7 slices from each cake.
84 / 7 = 12.
Add 3/4 + (−2 1/2) using the number line.
Select the location on the number line to plot the sum.
Answer:
Heyyy!!!!
Alrighty... here it goes....
Step-by-step explanation:
3/4 + (-2 1/2)
okay... the first thing you have to do is convert 1/2 into fourths. that'll make it way easier to solve..... like way easier.....
then rewrite the expression to get 3/4 + (-2 2/4)
now we know that + - = -
basically you subtract since adding a negative makes you subtract...
3/4 - 2 2/4 gives you - 1 3/4
all you have to do is plot that on the number line and you should be good to go
Please helppppppppppp
Evaluate 6ab + 2c if a = 3, b = 10, and c = 7
Answer:
6 (3 ×10 ) + 2 (7)
6(30) + 14
180 + 14
= 194
Answer: 194
Step-by-step explanation:
Given:
6ab + 2c
a = 3, b = 10, c = 7
Solve:
1. Plug in what you know and solve for your answer
⇒ 6(3)(10) + 2(7)
⇒ 6(30) + 14
⇒ 180 + 14
⇒ 194
which ordered pair in the form (x,y) is a solution of this equation?
7x-5y=28
(-3,-2)
(-2,-3)
(0,4)
(4,0) will give brainly to who ever gets it right please and thank you
Answer:
I think is 4,0
Step-by-step explanation:
if u divide 28 by seven u would get 4 and u cant divide 28 by 5 sooo it would be a decimal but that isnt an option so imma say its the last one
Multiply 3hrs 40mins by 7
Answer:
25 hour 40 minutes
Step-by-step explanation:
3 hrs X 7 is = 21 hours
then you mutliply 40 mins times 7 which is equal to 280mins
the you divide 280mins by 60 mins because 60 minutes is equal to an hour and you come out with 4 hours and 40 minutes which you add to 21 which is equal to 25 hours!
Hope This Helps!
Nannette buys a $5000 20-year bond that has a coupon rate of 2.5 %. If she keeps the bond to maturity, how much money plus principal interest will she have collected over the life of the bond?
The total amount collected over the life of the bond is $7,500.
What is the total amount collected?A bond is a debt instrument that entitles its holder to regular interest payments. At the end of the life of the bond, the bondholder receives the amount invested back.
Total earnings = interest + amount invested
(20 x 0.025 x 5000) = $2500
Amount invested = $5000
= 2500 + 5000 = $7,500
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state the value of factorial 6 !
[tex] \\ [/tex]
ty! ._.