Since the globe is in a shape of a sphere, the radius of the globe with a given volume of 904.78 in.³ is equal to 6 in .
What is a sphere?The sphere is a three-dimensional form that is sometimes referred to as a circle's second cousin. A sphere is a solid form that is circular, without borders. Examples of spherical shapes include a playing ball, a balloon, and even light bulbs.
What is the formula for calculating the volume of a sphere?The formula for calculating the volume of a sphere is given by,
Volume of a sphere (V) = [tex]\frac{4}{3} \pi r^{3}[/tex] .
Where [tex]\pi[/tex] = 3.14 and r is the radius of the sphere.
Given information in the question,
volume of a sphere(V) = 904.78 in.³
Radius (r) = ?
To find the radius of the sphere, using the formula for volume of sphere,
Volume of a sphere (V) = [tex]\frac{4}{3} \pi r^{3}[/tex] .
or, 904.78 = [tex]\frac{4}{3} \pi r^{3}[/tex]
Therefore, r = 6 in.
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5 out of 40 randomly selected students at Oxford Middle School stated that they would like to have a school uniform policy. Based on those results, about how many students out of the 992 enrolled would you expect to want a school uniform policy?
Answer:
124
Step-by-step explanation:
5 out of 40 = ⅛ of the students stated they would like to have a school uniform policy.
992 × ⅛ = 124
Triangles ABC and DFG are similar.
Which proportion can be used to find the value of DG¯¯¯¯¯¯?
a 15/7=5/DG
b DG/15=5/7
c 5/7=15/DG
d 5/DG=15/6
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.
Answer:
C
Step-by-step explanation:
Since every side of ΔABC is dilated by 3, or triple the size
We multiply every length of ΔABC by 3
But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer
7 x 3 = 21
DG = 21
5/7 = 15/21
5 ÷ 7 = 0.71
15/21 = 0.71
5/7 = 15/21
Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.
Define similar triangles.Two triangles are said to be similar if their sides are proportional and their angles are equal.
Triangles [tex]ABC,DFG[/tex] are similar
[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]
[tex]\frac{5}{15}=\frac{7}{DG}[/tex]
[tex]DG=21[/tex] inches
So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches
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A TRIANGLE has a base of 20 inches and height of 9 inches. What is its area? (a = 1/2bh)
Answer:
90
Step-by-step explanation:
1/2x20x9=90
How many constants are in the following expression?
7x + 4y - 5 + 4x Help
Answer:
1
Step-by-step explanation:
-5 is a constant because its a number on its own without a variable
Answer:
There is only 1 constant
Step-by-step explanation:
the constant is -5 because it's alone without any variables
Find the equation of direct variation,
given that y varies directly with x,
and x is 36 when y is 99.
Please answer this I will mark you Brainly if you answer this right
Answer:
150 This is right 4sure i did this test to.
Step-by-step explanation:
The length of a rectangle is three meters more than its width the perimeter of the rectangle is 74 meters what are the dimensions of the rectangle
Answer:
17 meters x 20 meters
Step-by-step explanation:
perimeter = 2 widths + 2 lengths
74 = 2W + 2L
L = W + 3
substitute for L
74 = 2W + 2(W + 3)
74 = 4W + 6
68 = 4W
W = 17 meters
L = 20 meters
Answer:
Step-by-step explanation:
Givens
Let the width = w
Then the Length = w + 3
Formula
P = 2L + 2W
P = 74
Solution
Substitute w + 3 for L
2(W + 3) + 2W = 74 Remove the brackets
2W + 6 + 2W = 74 Collect Like Terms
4w + 6 = 74 Subtract 6 from both sides
4w = 74 - 6
4w = 68 Divide by 4
w = 68/4
w = 17
L = w + 3
L = 17 + 3
L = 20
Check
P = 40 + 34
P =74
Given the sides of the four triangles below, which is NOT a scalene triangle?
Answer:
under the circustances of this trajectory the triangular polverinization oxiding cells are answer choice A thus that answer is not a scalene triangle
Step-by-step explanation:
From his home Craig would have to walk due north to get to his friend Devon's house and due east to get to his friend Dereks house.it is 4 miles from Craigs house to derricks House and a straight line distance of 5 miles from devon house to derricks House how far is Craig's house from Devon's house
Answer:
3 miles
Step-by-step explanation:
This is because Derek would be your right angle of the corner of the right triangle. And since the distance is both of those houses from Derek’s house, you would have to use the Pythagorean Theorem to find the difference of the hypotenuse and the leg
Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket
Find the slope, y-intercept and write the equation for this Linear Relationship.
Step-by-step explanation:
Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.
The side length of a triangle are 6,8 and 12 are these sides of a right triangle
Answer:
Yes it a right triangle!!
Hope it helps you!!
Answer:
No
Step-by-step explanation:
6^2 + 8^2 doesn't equal 12^2
make the most childish answer possible and ill give you brainliest
Answer:
yo mama
Step-by-step explanation:
Answer and Step-by-step explanation:
Find [x]: <--------------- (Childish Answer)
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4 + y = 3x - 5 |
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^---------------
I found x!! ^
#teamtrees #WAP (Water And Plant)
fifty-six thousands as decimal form
Answer:
0.056
Step by step explanation:
360 miles in 6 hours unit rate
Answer:
60 miles per hour
Step-by-step explanation:
360 miles / 6 hours = 60 miles per hour
Answer:
60, I hope this helped and please mark brainliest!
Step-by-step explanation:
This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.
A line that intersects a circle in exactly one point.
a. secant
b. tangent
c. segment of a circle
d. sector of a circle
please help meee its due soon hurry please !!
In a circle, an angle measuring pie over 2 radians intercepts an arc of length 1 pie. Find the
radius of the circle in simplest form.
Answer:
2 units
Step-by-step explanation:
We are given that
Angle ,[tex]\theta=\frac{\pi}{2}[/tex]radian
Length of an arc=[tex]\pi[/tex]
We have to find the radius of circle in simples form.
We know that
[tex]\theta=\frac{l}{r}[/tex]
Where l=Length of arc
r=Radius of circle
Using the formula
[tex]\frac{\pi}{2}=\frac{\pi}{r}[/tex]
[tex]r=\frac{2\times \pi}{\pi}[/tex]
[tex]r=2[/tex]units
Hence, the radius of the circle=2 units
pleaseeeee help me asap
Answer:
S1 = 294 square mm
Step-by-step explanation:
7 * 7 = 49
49 mm per side on the large cube
a cube has 6 faces, or sides
so
49 * 6 = 294 mm
The instructions are on the picture whoever answers this question will be the brainliest!!
Answer:
-3
3/2
Step-by-step explanation:
Y intercep is the point where the line intercepts the y axis. That is 3 in this graph.
slope. Choose two points. For the sake of explainin, I am choosing
(-3,1)
and (0,3). That’s the y intercept!!
The slope is the rate of increase. We have to measure it like we do with stairs. The rise divided by the run
the rise is 2. See the picture. The run is 3(change in x) the x increases by 3 between 2 integer points while the y changes by 3(change in y —>3 minus 1)
Rise= 3
run =2
Slope=rise/run=3/2
Diego has a maximum of $35 from his summer job earnings to buy shorts and socks for soccer. He needs 5 pairs of socks and a pair of shorts. Each pair of socks costs the same. The shorts he wants cost $19.95.
Write and solve an inequality to represent the amount of money Diego can spend on a single pair of socks. Let x represent the price of one pair of socks.
Answer:
The inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is;
Y ≤ $3.07
Step-by-step explanation:
The parameters for the maximum earnings and the number a=of socks for soccer Diego can buy are;
The maximum amount Diego has, A = $35
The cost of the shorts Diego wants, S = $19.95
The number of pairs of socks Diego needs, n = 5 pairs
Let the
Given that, 'x', represents the price of a pair of socks, we have, the inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is given as follows;
Y ≤ (A - S)/n
Plugging in the known values of 'A', 'S', and 'n', we have;
Y ≤ (35 - 19.65)/5 = 3.07
∴ Y ≤ $3.07
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 45 L to 56 L
Answer:
45/56
Step-by-step explanation:
We have,
Numerator = 45 L
Denominator = 56 L
We need to find the ratio as a fraction in simplest form. So,
[tex]\dfrac{N}{D}=\dfrac{45}{56}[/tex]
As there is no common factor between 45 and 56. It means the simplest fraction is 45/56.
please i need this, i've been crying bout it, What is an equation of the line that passes through the point (4,2) and is perpendicular to the line 4x+3y=21?
Answer:
y= 3x/4 − 1
Step-by-step explanation:
Find -2(3 - 8) + 3 (12 - 8)
What is the answer to this question?
Answer:
22
Step-by-step explanation:
An Item is priced at $14.91. If the sales tax is 4%, what does the item cost including the tax? A. 30.42 B. $0.60 C.$15.51 D. $20.87
Answer:
15.51
Step-by-step explanation:
14.91x4%=.60
14.91+.60=15.51
Gilligan sees a ship coming close to the shore hes standing on.
i think part a is: yes because both triangles are right angles. it would be postulate SAS
not sure for part b
A line passes through the point (-2,9) and (0,-3)
Answer:
Step-by-step explanation:
Answer:
y = - 6x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 9) and (x₂, y₂ ) = (0, - 3)
m = [tex]\frac{-3-9}{0+2}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6
The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = - 6x - 3 ← equation of line
how many centimeters are in 1 millimeter
Answer:
1 milli meter = 0.1 centi meter
2 (12-y)= 23- (2y-1)
The temperatures of two cities were measured at the same time. The
temperature in city A was 60 degrees and rose at a constant rate of 2
degrees per hour.
The temperature in city B was 40 degrees and rose at a constant rate
of 10 degrees per hour.
Enter the number of hours it took for the temperature to be the same in
both cities.
Answer:
2.5 hours
Step-by-step explanation:
60+2t=40+10t
hope this helps, have a great day :)
What's the answer pleaseewwww