24=12 18=9 14=7 8=4 6=?
If the volume of a sphere is 36 cubic units, what is the radius?
A. 3 units
B. 4√3 units
C. 9 units
The radius of the sphere is 2.048 units .
The volume of a sphere is :
4/3πr³Volume = 36substituting into the formula:
36 = 4/3πr³
36 × 3 = 4 πr³
108 = 4πr³
πr³ = 27
r³ = 27/π
r³ = 8.59436
r = 2.048
Hence, the radius of the sphere is 2.048 units .
How would you use a yardstick to measure the length of a rug
The center of the inscribed circle of Triangle ABC is point , and the center of the circumscribed circle of Triagnle ABC is point .
Answer:
Part A: The center of The inscribed circle is the point S
Part B: The center of The circumscribed circle is the point P
Step-by-step explanation:
Part A: Find the center of The inscribed circle of ΔABC
The inscribed circle will touch each of the three sides of the triangle in exactly one point,
The center of the inscribed circle is the point of intersection between the angle bisectors of the triangle.
So, According to the previous definition:
A₁A₂ and B₁B₂ are the angle bisectors of ∠A and ∠B
So, the inter section between them is the center of The inscribed circle
So, the center of The inscribed circle is the point S
=====================================================
Part B: Find the center of The circumscribed circle of ΔABC
The circumscribed circle is the circle that passes through all three vertices of the triangle.
The center of the circumscribed circle is the point of intersection between the perpendicular bisectors of the sides.
So, According to the previous definition:
P₁P₂ and Q₁Q₂ are the perpendicular bisectors of AB and BC
So, the inter section between them is the center of The circumscribed circle
So, the center of The circumscribed circle is the point P
Graph the solution to the scenario by dragging and dropping a circle/arrow onto the number line.
Billy's plant grows at least 2 inches a month.
Answer:
The line going to the right with a filled in circle plotted on 2.
Step-by-step explanation:
I did the review test and got it right
Please help as soon as possible!!!
Which statement describes if there is an extraneous solution to the equation √x-3 = x-5? A. there are no solutions to the equation, B. the extraneous solution is x = 7, C. the valid solutions are x = 7 and x = 4, or D. the extraneous solution is x = 4
Answer:
D. the extraneous solution is x = 4
Step-by-step explanation:
You want to know the statement that describes if there is an extraneous solution to the equation √x-3 = x-5.
SolutionA straightforward (blind) solution to the problem proceeds by squaring both sides and solving the quadratic:
x -3 = x² -10x +25
x² -11x +28 = 0
(x -7)(x -4) = 0 ⇒ x = 4 or x = 7
When you try these solutions in the original equation, you get ...
√(4 -3) = 4 -5 ⇒ 1 = -1 . . . . . x = 4 is an extraneous solution, choice D
√(7 -3) = 7 -5 ⇒ 2 = 2 . . . . . x = 7 is the solution
DomainThe square root function is only defined for non-negative values, so the left side of the equation is only defined for x ≥ 3.
The left side of the equation produces non-negative values. The right side of the equation will have non-negative values only for x ≥ 5.
Considering the domain of the equation is x ≥ 5, we know that x = 4 cannot be a solution. It can be ignored. This value only arises because squaring the radical allows values of x that require the root to be negative.
__
Additional comment
The attached graph shows the only solution is x=7, the value that makes the difference between the sides of the equation be zero. We find it useful to write radical equations in the form f(x) = 0, making the x-intercepts of the graph of f(x) be the solution(s). The graphing calculator does not graph the function where it is undefined, so the domain restrictions are automatically accommodated.
The scale on a map is 1 cm = 30 km. The map distance between two towns is 3.5 cm. What is the actual distance between the two towns?
Using unitary method, the actual distance between the two towns is 105 km.
What is unitary method?The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.
1 cm = 30 km
3.5 cm = 30 * 3.5 = 105 km
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If lines L and M are parallel in the given diagram and angle 5 is 132°, what is the measure of angle 3?
Since lines L and M are parallel, corresponding angles such as angle 5 and angle 3 will be equal. Thus, if angle 5 is 132°, angle 3 will also be 132°.
Explanation:This question concerns parallel lines and the angles formed by a transversal cutting across them. The lines L and M in the given diagram are parallel. Parallel lines have a special property where corresponding angles are equal. If angle 5 measures 132°, then the corresponding angle, angle 3, also measures 132°, because of this property of parallel lines.
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Sal scored g goals this season. Ben has scored four times as many goals as Sal. Chun has scored three fewer goals than Ben. a. 9g - 3 c. 3g - 9 b. g - 4g d. 3g + 9
complete question:
Write an expression in simplest form that represent the total amount.
Sal scored g goals this season. Ben has scored four times as many goals as Sal. Chun has scored three fewer goals than Ben.
a. 9g - 3
b. 3g - 9
c. g - 4g
d. 3g + 9
Answer:
a. 9g - 3
Step-by-step explanation:
Sal scored g number of goals this season . Ben has scored 4 times as many goals as Sal . Chun has scored 3 fewer goals than Ben. There goals can be expressed as follows
Sal's goal = g
Ben's goal = 4(g) = 4 × g = 4g
Chun's goal = 4g - 3
sum of their goals = g + 4g + (4g - 3)
sum of their goals = g + 4g + 4g - 3
sum of their goals = 9g - 3
if the length of an arc is 12π inches and the radius of the circle us 10 inches, what is the measure of the arc?
Answer:
The measure of arc is 216°
Step-by-step explanation:
Length of arc, L = 12π inches
Radius of the circle, R = 10 inches
Formula: [tex]\theta=\dfrac{L}{R}[/tex]
Where, [tex]\theta[/tex] in radian.
By substituting L and R into formula.
[tex]\theta=\dfrac{12\pi}{10}[/tex]
[tex]\theta=\dfrac{6\pi}{5}[/tex]
Now we change radian to degree
[tex]\text{Degree }=\dfrac{\text{Radian}}{\pi}\times 180^\circ[/tex]
[tex]\text{Degree }=\dfrac{6\pi}{5\pi}\times 180^\circ[/tex]
Central angle = 216°
Hence, The measure of arc is 216°
Help..please simplify this
Can anyone help? Please
What percent of the June budget was for babysitting and movies (to the nearest tenth)?
How many sides does a regular polygon have if each exterior angle measures 30?
The number of sides that the polygon with each exterior angle measuring 30° has is 12.
What is a polygon?A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of all the exterior angles of a regular polygon is always equal to 360°. Therefore, the measure of an exterior angle for a regular polygon is given as,
[tex]\theta = \dfrac{360^o}{n}[/tex]
where n is the number of sides.
Given that the measure of the exterior angle is 30°. Therefore, the number of sides will be,
[tex]\theta = \dfrac{360^o}{n}\\\\ 30^o = \dfrac{360^o}{n}\\[/tex]
n = 12
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What is the surface area of the regular pyramid
Liz is putting wallpaper on a 9-foot by 12foot wall. The roll of wallpaper is 30 inches wide. What is the area
India can paint 3 ½ walls in one day. How many walls can she paint in 5 ½ days?
The width of a large, rectangle-shaped tree farm is 1.9 kilometers. The best length of the farm is 4.4 kilometers. What is the best estimate of the area of the farm? Estimate 1.9 x 4.4
Answer:
between 4 and 10
Step-by-step explanation:
i did the quiz.
kiara downloaded 264 pictures from her cellphone to her computer. these pictures took up 528 megabytes of space on her computer. each picture took up the same amount of space. how many megabytes do 35 of these picture take up
Answer:
"70, because 528 divides by 264 is 2, which means each picture is 2 megabytes, so therefore 35x2 = 70"
Step-by-step explanation:
this is good
70 megabytes can do 35 of these picture take up.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that kiara downloaded 264 pictures from her cellphone to her computer. These pictures took up 528 megabytes of space on her computer.
Each picture took up the same amount of space.
We have to find that how many megabytes do 35 of these picture take up.
therefore, we have to first divide the 528 by 264 then multiply it with 35.
So, we get
= 528/264 x 35
= 35 x 2 = 70
Hence, 70 megabytes can do 35 of these picture take up.
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The probability of selecting the letter Z at random from the letters of the alphabet is 1 half 26.
A.Theoretical
B. Empirical
How much greater is the median number of pairs of shoes in the inventory at the Golf Pro Shop than the median number of pairs of shoes in the inventory at the Tennis Pro Shop?
Please help, Thanks!
once again super confused
Can someone answer 14,15 and 16? Thank you!
HELP!!!!!! THIS IS GEOMETRY!
Find the perimeter of the shape below:
A four sided figure RSTU is shown. R is located at negative 1, 3. S is located at negative 2, 7. T is located at 2, 5. U is located at negative 1, 5
Answer:
13.6 is the correct answer
Step-by-step explanation:
got it right on the test
Final answer:
To find the perimeter of the given quadrilateral, calculate the distance between each pair of consecutive points using the distance formula and sum these distances. The perimeter is the sum of √17 + √20 + 3 + 2 which is 13.59 units.
Explanation:
The question you've asked involves finding the perimeter of a four-sided figure, known as a quadrilateral, with vertices R, S, T, and U located at (-1, 3), (-2, 7), (2, 5), and (-1, 5) respectively. To find the perimeter of this shape, we need to calculate the distance between each pair of consecutive vertices and sum these distances up.
Firstly, use the distance formula – d = √((x2 - x1)² + (y2 - y1)²) – to calculate the length of each side:
RS = √((-2 - (-1))² + (7 - 3)²) = √(1 + 16) = √17=4.12
ST = √((2 - (-2))² + (5 - 7)²) = √(16 + 4) = √20 = 4.47
TU = √((-1 - 2)² + (5 - 5)²) = √(9 + 0) = 3
UR = √((-1 - (-1))² + (3 - 5)²) = √(0 + 4) = 2
Finally, sum these distances to find the perimeter: √17 + √20 + 3 + 2 which comes out to be 13.59 units. The exact perimeter involves square roots since we're dealing with irrational distances.
denominator vs numerator
A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 3.5 centimeters long. If the area of the section of glass is 8.1 square centimeters, how tall is the section?
The height of the trapezoidal section is approximately 3.6 centimeters.
Explanation:To find the height of the trapezoidal section, we can use the formula for the area of a trapezoid: A = 1/2 * (top base + bottom base) * height. In this case, the top base is 1 centimeter and the bottom base is 3.5 centimeters. We are given that the area is 8.1 square centimeters. Plugging these values into the formula:
Therefore, the height of the trapezoidal section is approximately 3.6 centimeters.
The height of the trapezoidal section of stained glass is calculated using the area formula for trapezoids. With the given measurements, the height is found to be 3.6 centimeters.
Explanation:To find the height of a trapezoid section in a stained glass window with a top base of 1 centimeter, a bottom base of 3.5 centimeters, and an area of 8.1 square centimeters, we use the formula for the area of a trapezoid, which is Area = 1/2 × (base1 + base2) × height. In this case, base1 is the top base, base2 is the bottom base, and Area is already given as 8.1 cm2.
Plugging the values into the formula gives us:
8.1 = 1/2 × (1 + 3.5) × height
8.1 = 1/2 × 4.5 × height
8.1 = 2.25 × height
To find the height, we divide both sides by 2.25:
height = 8.1 / 2.25
height = 3.6 centimeters
Thus, the height of the trapezoid section is 3.6 centimeters.
You and a friend stand back to back. You run 20 feet forward then 15 feet to the right. At the same time, your friend runs 16 feet forward then 12 feet to her right. She stops and hits you with a snowball. How far does your friend throw the snowball?
Find total cost $20.20 and 40% off , tax is 6%
WILL GIVE BRAINLIEST TO CORRECT ANSWER 15 POINTS
Two poles, AB and ED, are fixed to the ground with the help of ropes AC and EC, as shown: Two right triangles ABC and EDC have a common vertex C. Angle ABC and EDC are right angles. AB is labeled 11 feet, AC is labeled 13 feet, EC is labeled 10 feet, and ED is labeled 5 feet. What is the approximate distance, in feet, between the two poles?
Its 15.59, it corresponds with the other questions.The other answers never appear twice.
Answer:
15.59
Step-by-step explanation: