The volume of a cone is 763.02 cubic inches. The radius and height of the cone are equal. What is the radius of the cone?
Answer:
The radius of the cone is 9cm
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
The volume of a cone is expressed as
V=1/3(πr²h)
We were told that the radius r and the height h are equal
I.e r=h
Substituting h=r in the formula we have
V= 1/3(πr²*r)
V =1/3(πr³)
To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)
763.02= 1/3(3.142r³)
763.02= (3.142r³)/3
763.02*3=3.142r³
2289.06=3.142r³
r³=2289.06/3.142
r³= 728.54
r= ³√728.54
r= 8.99cm
≈r= 9cm
hope this helps
a.) what was the scale factor of the dilation
b.) Based on the scale factor, how many copies of ABCD, including the original, should fit inside A’ B’C’D?
Answer:
A. The scale factor is three.
B. Nine copies of ABCD could fit in A'B'C'D'.
Step-by-step explanation:
Hope this helps! Have a nice day! Let me know if you need an explanation!
help me with this please
Step-by-step explanation:
y = -4x + 17
=> (4,1)
x=4 --> y = -4(4)+17=-16+17=1
(4,1) matched
=> (2,9)
x=2 --> y=-4(2)+17=-8+17=9
(2,9) matched
Solve the expression below: 3(x-3) + 2x(4x+6)=
what is 34 + 3 ⋅ 5 = ____.
please please help 35 points
Answer:
49
Step-by-step explanation:
34 + 3 * 5
34 + 15
49
have a good day! :)
Answer:
49
Step-by-step explanation:
34+15
Which choice represents the fraction below as a single exponential expression ? (5 ^ 7)/(5 ^ 4)
Answer:125
Step-by-step explanation:hope this help
Find the measures of ZX and ZY.
Z
Х
P
1649
V
102°
w
o
mZX=
o
mZY=
Answer: 303
Step-by-step explanation:
Plssss help me cuhhh
Answer:
i believe your answer is C. Rectangle
Step-by-step explanation:
I hope this helps! :D
maybe consider brainliest?
If the volume of a rectangular
prism is 315 cubic meters and
the area of the base is 45
square meters, then what
is the height of the prism?
7
because the answer is 7
what is 2,36+5,4-3,47 equal to
Answer:
4.29
Step-by-step explanation:
SOMEONE PLEASE EXPLAIN THIS TO ME. IVE GOTTEN THIS WRONT 3 TIMES AND I DONT KNOW WHAT IM DOING WRONG
Answer:
I believe the answer is 58.1 degrees
Step-by-step explanation:
acrsin 45/53=58.1
45/53 is the sin of P
If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT
Step-by-step explanation:
I=?
P= $4500
R=8%=0.08
T=1 year
8%*0.01= 0.08
I=(4500)(0.08)(1)
(4500)(0.08)=360
360*1=360
The interest after one year is $360
is (-7,2) a point on the line?
Answer:
what line i swear if u tell me i can answer just comment
Step-by-step explanation:
HELP PLEASE! I NEEDED IT! T0T
Applying the 45-45-90 Theorem, Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45°.
Rule: If x is the leg of a 45-45-90 triangle, then x*sqrt(2) is the hypotenuse.
We can prove this by showing that x^2+x^2 = (x*sqrt(2))^2 is an identity. It's from the pythagorean theorem a^2+b^2 = c^2.
Put another way, if we know that a = x and b = x are the two congruent legs, then x^2+x^2 = c^2 leads to c = x*sqrt(2). This triangle is known as an isosceles right triangle.
So if 4*sqrt(2) is the hypotenuse, we match that up with the template x*sqrt(2) and see that x = 4 must be the case.
Find the volume of the figure. Use 3.14 for Pi
Answer:
The answer would be 17
Step-by-step explanation:
The answer would be 17 because if you add 12 plus 5 That would be your answer
Which statement is true? I am giving a lot of points away for this so please provide the correct answer and an explanation.
Answer:
the second option from the top
Answer:
2nd answer
Step-by-step explanation:
The water in the tank is decreasing at a rate of 2 gallons per minute
After 5 minutes the tank went from 30 to 20 (30-10)
10÷5=2 gallons per minute
Pls answer quick I need this for an assignment
Answer:
[tex]4(x+3)=4(x-3)[/tex]
It is equivalent to an equation that has the same variable terms but different constant terms on each side of the equal sign.
A silo has a cylindrical part and a roof that is a hemisphere.
The radius of the cylinder is 3m and its height is 12m.
Find the volume of the silo.
Answer:
339.29
Step-by-step explanation:
Use formula for cylinder: [tex]V=\pi r^2h[/tex].
Note: I rounded to the nearest hundreth.
The length of 12cm and 5 cm missing one
Answer:
13cm
Step-by-step explanation:
Let the given lengths be the opposte amd adjacent sides of a right triangle'
The missing side will be the hypotenuse
Using the pythagoras theorem;
hyp^2 = 5² + 12²
hyp² = 25 + 144
hyp² = 169
hyp =√169
hyp = 13cm
Hence the missing one is 13cm
what is the variable if 13 and p
Answer:
p because variables are shown by letters not numbers
Hope this helped:)
Step-by-step explanation:
8 less that the product of 2 and a number is 16. find the number
Answer:
x=12
Step-by-step explanation:
2x-8=16(add a to both sides)
2x=24(divide by 2)
x=12
$3840 with a discount of 10%
Answer: 384
Step-by-step explanation: 10% also equals 0.1 so, 3840*0.1 = 384.
Answer:
$3840
Step-by-step explanation:
10%= x/10 and the x is equal to 3840. 3840/10=384 now that I know what %10 of 3840 I can take off the discount price onto the original price, 3840-384=3456. So 3456 is the final price after including the 10% discount.
A business wants to try out two new shampoo brands (brand A and brand B) on customers who use the business's existing shampoo brand. The best method for this study is
.
Answer:
B) Experiment
Step-by-step explanation:
Answer:
Experiment
Step-by-step explanation:
PLATO
Sam is using the expression m/8n in class. what is the value of the expression when m = 4 and n = 1/2?
Answer:
1
Step-by-step explanation:
m/8n > 4/8(1/2) ( since its 1/2 all u need to do is change the fraction to whole number which is 1/2 = 0.5)
The given will become 4/4 then simplest form is 1
Please help. Find the two missing sides and write your answer as in simplified radical form.
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.
URGENT PLEASE HELP ME !!!!
Step-by-step explanation:
2x + (x + 96) = 180
3x + 96 = 180
3x = 84
x = 28
Therefore,
angle 1 = 2x = 58°
angle 2 = x + 96 = 124°
You want to make a retangular prism out of carboard. The base is 3 feet by 4 feet. The height is 2 feet. You have $5.00 and cardboard costs .10 per square foot. What is the surface area of the rectangular prism? How much will it cost to make teh retangular prosm out of cardboard?
Answer:
a) 24 square feet
b) $12
Step-by-step explanation:
You want to make a retangular prism out of cardboard. The base is 3 feet by 4 feet. The height is 2 feet. You have $5.00 and cardboard costs .10 per square foot.
a) What is the surface area of the rectangular prism?
Length × Width × Height
3 feet × 4 feet × 2 feet
= 24 square feet
b).How much will it cost to make the rectangular prism out of cardboard?
1 ft² = $0.5
24 ft² = x
Cross Multiply
x = 24ft² × $0.5/1 ft²
x = $12
It would cost $12 to make the rectangular prism out of the cardboard. You do not have sufficient money to make it
The circumference of the circular table on Beverly's porch is 72n inches. What is the radius of the table?
Answer:
11.46 inches
Step-by-step explanation:
C = 2πr
72 = 2(3.14)r
r = 72/6.28
r = 11.46
please help and show work
9514 1404 393
Answer:
5. x° = 38°; b° = 90°
6. m∠TSU = 110°
Step-by-step explanation:
The relationship relevant to these problems is that an inscribed angle is half the measure of the arc it intercepts. That is also true of the angle formed by a chord and a tangent.
__
5. Angle x° intercepts an arc marked 76°, so is half its measure: 76°/2 = 38°
x° = 38°
Arc b° is intercepted by an inscribed angle of 45°, so is twice that measure.
b° = 90°
__
6. Long arc SU is the remaining portion of the circle after short arc SVU is subtracted:
long arc SU = 360° -140° = 220°
Angle TSU is half that measure: 220°/2 = 110°.
m∠TSU = 110°
Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 4 kilometers, and the eastbound car has traveled 3 kilometers. Measured in a straight line, how far apart are the two cars?
Answer:
The distance between them is 5km
Step-by-step explanation:
Given
[tex]Car\ A =4km[/tex]
[tex]Car\ B =3km[/tex]
Required
Distance between them
The scenario can be represented with the attached image
The distance between them is then calculated using Pythagoras theorem
[tex]d^2 = 4^2 +3^2[/tex]
[tex]d^2 = 16 +9[/tex]
[tex]d^2 = 25[/tex]
Take square roots of both sides
[tex]d = \sqrt{25[/tex]
[tex]d = 5[/tex]