Figure 1
Name = Coneh = 4 unitsd = 8Since the diameter is 8, this cuts in half to the radius of r = 4. Plug the given values into the cone volume formula below
V = (1/3)*pi*r^2*h
V = (1/3)*pi*(4)^2*4
V = (64/3)pi ..... exact volume in terms of pi
V = (64/3)*3.14
V = 66.98667 .... approximate volume when using pi = 3.14
========================================================
Figure 2
Name = cylinderh = 4d = 8 which cuts in half to r = 4V = volume of cylinder
V = pi*r^2*h
V = pi*4^2*4
V = 64pi ..... exact volume
V = 64*3.14
V = 200.96 .... approximate volume when using pi = 3.14
========================================================
Figure 3
Name = rectangular prismb = 32h* = 12h = 4b and h* are dimensions along the bottom face, aka floor
h is the height or vertical dimension of the 3D room
V = volume of rectangular prism = volume of 3D room
V = length*width*height
V = (b)(h*)(h)
V = (32)(12)(4)
V = 1536 is the exact volume
There is no approximate volume for this figure because the result above is an integer.
========================================================
Combining the figures
Adding up the volumes for figures 1 through 3 gets us
(64/3)pi + 64pi + 1536 = (256/3)pi + 1536
The exact total volume in terms of pi is (256/3)pi + 1536
If we used pi = 3.14, then it leads to
(256/3)pi + 1536 = (256/3)*3.14 + 1536 = 1803.94667
The approximate total volume of all three figures combined is roughly 1803.94667 cubic units
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.
PLEASE HELP!!!!!!!!!
Answer:
if I had to guess I whould say i
what is linear graph
Answer:
A linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.
Answer: is a diagram which shows a connection or relation between two or more quantity.
Step-by-step explanation:
Please Help!!!! Write an exponential function. In your own words, describe the rate of change of this function and what the graph looks like.
Answer:
A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.
Step-by-step explanation:
Answer:
A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.
Step-by-step explanation:
Is someone smarten than me plz
Answer:
11.70
Step-by-step explanation:
d=√((16-5)^2+(14-10)^2)=11.7046999...
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.
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:
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
If a box has 5 red, 3 green, and 4 blue jelly beans, then what is the probability of choosing
at random a red jelly bean?
7/12, 5/12, 1/12, 2/7
Answer:
2/7
Step-by-step explanation:
Answer:
5/12
Step-by-step explanation:
All the beans are equally likely to be chosen, so the bottom (denominator) of the fraction is 12 (there are 12 beans in the box).
The numerator is 5 because that's the number of red beans in the box.
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
Yuki just bought a big-
screen TV set. The
screen has a diagonal
measure of 40 in. If the
screen is 32 in. wide,
how high is it?
Answer:
24 I think..
Step-by-step explanation:
a^2 + b^2 = c^2
32^2 + b^2 = 40^2
b^2 = 1600 - 1024
b^2 = 576
b = 24
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.
I NEED HELP FAST! I NEED THESE MATH SHEETS CHECKED OVER ( will be given brainly )
there is one additional problem and it is r^10s^6/r^-5s^9
Answer:
The answer is r^10s^6/r-5s^9= r^10/r-^5 = r^15
Step-by-step explanation:
the answer is r^15
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
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
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
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:
Plssss help me cuhhh
Answer:
i believe your answer is C. Rectangle
Step-by-step explanation:
I hope this helps! :D
maybe consider brainliest?
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]
what is 2,36+5,4-3,47 equal to
Answer:
4.29
Step-by-step explanation:
Calculate AC
Round to the nearest tenth.
Answer:
3,266.53
Step-by-step explanation:
i looked it up :)
Answer:
AC = 11.4
Step-by-step explanation:
6/sin 23 = AC/sin 132
6 sin 132/sin 23 = AC
AC = 11.4
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
Answer in the 10-1 quiz intro to circles, central angles, arcs, and chord
Answer:
1.5
Step-by-step explanation:
The answers are given in the solution below.
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given is topics related to circle and its part we need to answer the question asked,
1) to 7) Given is a circle T,
a) Radius = TS, QT and RT all are the radius
b) Diameter = QS
c) Chord = PS
d) Central angle = ∠ RTQ
e) Minor arc = arc QR
f) Major arc = arc QSR
g) Semicircle = QPS
8) to 9) :-
a) Circle with radius 18 in :-
Circumference = 2π×radius = 2×3.14×18 = 113.04 in
Area = π·radius² = 3.14×18² = 1017.36 in²
b) Circle with diameter 25 m :-
Circumference = 2π×radius = 2×3.14×12.5 = 78.5 m
Area = π·radius² = 3.14×12.5² = 490.625 m²
10) The circle is having an area of 201.06 cm², we need to find the circumference and diameter,
Area = π·radius² = 201.06 cm²
radius² = 201.06 / 3.14
= 64
radius = 8 cm
Diameter = 16 cm
Circumference = 2π×radius = 2×3.14×8 = 50.24 cm
11) :-
Circle with radius P :-
The rule we will use here is :- arcs equal to central angle opposite to it, and full circle measures 360°
a) ∠ KPL = 90°
So, by linear pair sum, ∠ NPL = 90°
Now, by angle substitution law, ∠ NPM + ∠ MPL = 90°
∠ NPM = 27°
By using vertical angles rule, ∠ JPK = ∠ NPM = 27°
Therefore, arc JK = 27°
b) arc NJ = 180° - 27° = 153°
c) arc JL = 90°+27° = 117°
d) arc KNM = 360°-(90°+63°) = 207°
e) arc MJL = 360°-63° = 297°
f) arc JLK = 360°-27° = 333°
12) :-
arc CD + arc AD = 180°
Therefore,
19x-49°+5x+37° = 180°
24x-12 = 180°
24x = 192°
x = 8
Therefore,
arc CD = 5x+37 = 74°
13) :-
Length of an arc = central angle / 360° × 2π×radius
= 232° / 360° × 2 × 3.14 × 5 = 20.23 mm
14) :-
= 73° / 360° × 2 × 3.14 × 14.5 = 18.46 ft
Learn more about circles, click;
https://brainly.com/question/29142813
#SPJ2
A rectangle has an area of 96 in2. The rectangle's base is 4 in. What is the height of the rectangle?
A. 384in
b. 24in
c. 92in
d. 100in
Answer:
B. 24
Step-by-step explanation:
Formula for area of a rectangle: base × height/ length × width
To find the height, divide the area by the base.
[tex]96/4=24in[/tex]
[tex]formula=base *height/length*width[/tex]
[tex]4*24=96in^2[/tex]
If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in simplest radical form
Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]
Step-by-step explanation:
Given
[tex]\cos a=\dfrac{5}{9}[/tex]
[tex]a[/tex] lies in the fourth quadrant
So, sine must be negative in the fourth quadrant
Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value
[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]
[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]
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
Find the sum. Enter your answer in the box below as a fraction, using the slash mark (/) for the fraction bar. 7/17 + 9 /17
Multiplying by which number is equivalent to finding 15%?
Answer:
The answer is still 15. Because
The number is × which is 0.so it is still 15%square root of 225/16 AS A FRACTION!!!
The solution is, square root of 225/16 is 15/4.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have,
225/16
=15^2/4^2
so, square root of 225/16
=√15^2/4^2
=15/4
Hence, The solution is, square root of 225/16 is 15/4.
To learn more on square root click:
brainly.com/question/29286039
#SPJ5