The cone is a three dimensional shape, and the value of the height of the cone is 27 inches
How to determine the height?The given parameters are:
Shape = ConeVolume, V = 45 in^3Base area, B = 5 in^2The volume of the cone is calculated using:
[tex]V = \frac13 Bh[/tex]
So, we have:
[tex]45 = \frac13 * 5 * h[/tex]
Divide both sides by 5
[tex]9 = \frac13 * h[/tex]
Multiply both sides by 3
h = 27
Hence, the value of the height of the cone is 27 inches
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Please answer Asapp (Will give brainliest)!
Answer:
There is no answer as there is no question.
Step-by-step explanation:
Answer:
I added the answer to your newest problem :D
Step-by-step explanation:
Hope it helped!
Is this true or false?
Answer:
true
Step-by-step explanation:
yas
PLEASE HELP ILL MARK BRAINEST!!!!
The radius of a circle with an area of 60 square centimeters is represented by the expression StartRoot StartFraction 60 Over pi EndFraction centimeters. What is another way of expressing the radius?
Another way of expressing the radius is to express it as a decimal given as r = 19.108 cm
What is a circle?The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.
Given the expression for the radius of the circle given as
[tex]r=\dfrac{60}{\pi}[/tex]
We can also express the radius as a decimal instead of a fraction.
Given that π = 3.14, Substitute into the expression of the radius to have:
[tex]r=\dfrac{60}{3.14}=1.9.108\ cm[/tex]
Hence another way of expressing the radius is to express it as a decimal given as r = 19.108 cm
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The tree diagram represents an
experiment consisting of two trials.
Enter the probability to the hundredths place.
Do not round.
The value of the probability P(D) is 0.74
How to estimate the probabilty?Using the tree diagram, the value of P(D) is represented as:
P(D) = P(B and D) + P(A and D)
Using the values on the tree diagram, we have:
P(D) = 0.4 * 0.8 + 0.6 * 0.7
Evaluate
P(D) = 0.74
Hence, the value of the probability P(D) is 0.74
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what is the solution for x? 6(x+4)=3x-2
4m=6m-2/5
First answer get to be brainliest!
Answer:
m = 1/5Step-by-step explanation:
4m = 6m - 2/5
-2m = -2/5
m = 2/5 : 2
m = 1/5......,.............
[tex]5 \times (3 \times (9 - (4 + 1))) + 20 \div 4 \times 2 [/tex]
Following BODMAS:
Brackets → Order → Division → Multiplication → Addition → Subtraction
Given Expression:
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
[first simplify following inside the brackets]
⇒ 5 × 12 + 20 ÷ 4 × 2
[then divide following]
⇒ 5 × 12 + 5 × 2
[multiply integers]
⇒ 60 + 10
[add integers]
⇒ 70
Answer:
70
Step-by-step explanation:
Solving by BODMAS :
BracketsOrdersDivisionMultiplicationAddition SubtractionGiven :
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
Simplifying the brackets :
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
⇒ 5 × (3 × (9 - 5)) + 20 ÷ 4 × 2
⇒ 5 × (3 × 4) + 20 ÷ 4 × 2
⇒ 5 × 12 + 20 ÷ 4 × 2
Dividing :
⇒ 5 × 12 + 20 ÷ 4 × 2
⇒ 5 × 12 + 5 × 2
Multiplying :
⇒ 5 × 12 + 5 × 2
⇒ 60 + 10
Adding :
⇒ 60 + 10
⇒ 70
Rudy has been paying an annual homeowners insurance premium of $1,106.30 ($0.37 per $100 of value) since he first purchased his house. for the past six months, rudy has completed some major improvements to his house to improve its overall value. if rudy successfully adds $50,000 to the value of his house, what will his new annual homeowners insurance premium be? a. $185.00 b. $315.00 c. $1,291.30 d. $1,351.14
If Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.
What is the annual homeowner's insurance premium?The annual homeowner's insurance premium is the insurance charge that the homeowner pays as an insurance premium annually.
The insurance premium is calculated using some set formulas determined by these factors:
Home's valueLocationCoverage ValueSafety featuresDeductibles.Data and Calculations:Insurance premium rate = $0.37 per $100
Current insurance premium = $1,106.30
Added value to the house = $50,000
Added premium = $185 ($50,000 x $0.37/$100)
New insurance premium = $1,291.30 ($1,106.30 + $185)
Thus, if Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.
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Answer:
it's C......................
Step-by-step explanation:
i got 100% on egde
Which of the following is the function represented
by the graph?
O
1
y=
-5
(x+3)
1
y=
(x-3)
y=
(x+5)
1
y =
(x - 5)
O
O
O
+5
-3
+3
Answer:
the last (4th) option
Step-by-step explanation:
the easiest way to find the right answer :
which of the 4 answers would deliver infinity for x = 5 ?
and that is only answer 4, as x = 5 creates 0 in the denominator of the fraction, which leads to the infinity break at that point in the functional curve.
other indications :
the smaller x, the more the denominator goes to -infinity, and the bigger x, the more the denominator goes to +infinity.
and that means the whole fraction goes to 0. and we are left for the function limit with the constant added at the end of the function.
looking at the graph, this has to be +3.
and again, only the 4th answer has "+3" at the end.
The function represented by the graph is y = 1(x - 5) + 3.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The equation y = 1/(x - 5) + 3 represents a rational function with a vertical asymptote at x = 5.
This means that the graph of the function gets closer and closer to the vertical line x = 5, but never touches or crosses it.
The graph of the function also has a horizontal asymptote at y = 3.
This means that as x approaches infinity or negative infinity, the value of the function approaches 3.
The function has a y-intercept at (0, -4), where x = 0 and y = 1/(-5) + 3 = -4.
Thus,
The function represented by the graph is y = 1(x - 5) + 3.
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The ratio of cats to dogs is
4:5. If there are 20 dogs,
how many cats are there?
29
Answer:
16
Step-by-step explanation:
Since the common ratio between cats and dogs is 4:5. We want to know cat and dogs in the ratio X:20. Thus, we can set up the equation as 4/5=X/50. Cross multiplication gets us 80=5X Solving for we get that 80/5 =X....16 =X Now, we know that the number of cats there are is 16
Pls help me classify this asap?!!
How many real solutions if any, does 2x^2-3x+8=0
Answer:
The quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] has no real solution.
Step-by-step explanation:
Rewrite the quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] in the standard form [tex]a\, x^{2} + b\, x + c = 0[/tex]:
[tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex], for which:
[tex]a = 2[/tex].[tex]b = (-3)[/tex].[tex]c = 8[/tex].The quadratic discriminant of [tex]a\, x^{2} + b\, x + c = 0[/tex] is [tex](b^{2} - 4\, a\, c)[/tex]. The quadratic discriminant of [tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex] would be:
[tex]\begin{aligned}& b^{2} - 4\, a\, c \\ =\; & (-3)^{2} - 4 \times 2 \times 8 \\ =\; & (-55)\end{aligned}[/tex].
Since the quadratic discriminant of this equation is negative, this quadratic equation has no real solution.
Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side JK
Round your answer to the nearest tenth if necessary.
Answer:
Heyyyy!!
The answer is 66.9
please read the explanation... it will help... I promise
Step-by-step explanation:
Okay... Here we go...
The context mentions that the two quadrilaterals are similar... meaning their sides are proportional...
So... you basically have to find the scale factor...
(the math itself is easier than the explanation...
51/16 = 3.1875 (that is the number we multiplied the sides of quadrilateral FGHI to get quadrilateral JKLM...
so to get side JK all you have to do is multiply that scale factor by side FG... which after the use of a calculator results in 66.9 (i rounded, and used a calculator... lol)
but yeah... i hope this helps...
please help!! will mark brainiest to whoever gets it right!!
Answer:
x = 77
Step-by-step explanation:
x and 103 are same- side exterior angles and sum to 180°
x + 103 = 180 ( subtract 77 from both sides )
x = 77
Cathy constructs diameter of circle O and then constructs the perpendicular bisector, , of. Which construction can she complete?
A.
an equilateral triangle inscribed in a circle
B.
a regular hexagon inscribed in a circle
C.
a square inscribed in a circle
D.
an isosceles trapezoid inscribed in a circle
Answer:
Step-by-step explanation:
Need help asap!!!!!??????
Answer:
x=8
Step-by-step explanation:
the geometric mean(√(a*b)) of the segments of the hypotenuse is equal to the altitude of the triangle.
4^2 = 2x
16=2x
16/2 =x
8=x
Solve the system of equations below: 4x + 6y = 32 3x - 6y = 3
Pls show work
Answer:X=5
Y=
Step-by-step explanation:make sure to add the the simultaneous equations together to take out y so you can work out x then from there work out Y by substituting X in anequation with a number
also here are some practice questions, ask me if you don't get them
The midpoint of overline AB is M(2, -2) If the coordinates of A are (-2, 1), what are the coordinates of B?
Answer:
(6, -5)
Step-by-step explanation:
Midpoint :
(2, -2) = (x - 2 / 2, y + 1 / 2)Equations formed :
x - 2 / 2 = 2x - 2 = 4x = 62. y + 1 / 2 = -2
y + 1 = -4y = -5Coordinates of B : (x, y)
(6, -5)Find the Volume of the triangular prism
Answer:
72 cubic yards
Step-by-step explanation:
The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the distance between bases.
Here, the base is a triangle, so its area is given by ...
A = 1/2bh
where b is the base of the triangle, and h is the height perpendicular to the base.
__
Using these formulas with the dimensions given, we have ...
B = 1/2(8 yd)(3 yd) = 12 yd²
V = (12 yd²)(6 yd) = 72 yd³
The volume of the triangular prism is 72 cubic yards.
_____
Additional comment
Effectively, the volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.
What is the perimeter of the triangle below?
48.0 units
14.7 units
16.7 units
24.0 units
A ball is thrown through the air, following a parabola: y= -x^2 + 4x + 4.
The land slopes upward: y = 0.5x + 2
1. Using the graph what is a solution to the system of equations?
( , )
2. What does the solution represent in this scenario?
a The point the ball reaches maximum height.
b The point where the ball meets the ground.
c The point where the ball is thrown.
Jamar read 252 pages in 3/4 of an hour. At what rate, in pages per hour, did he read?
Answer:
336 pages per hour (pretty fast)
Step-by-step explanation:
It's hard to explain for me (I'm just doing my best to answer it) but I got the answer from estimating values with a calculator. The proof of it as an answer can be seen from this equation: 336 * 0.75 (or 3/4) = 252. It's pretty late for me so I'm having a hard time reverse engineering the equation. Hopefully this still helps though. :)
Answer:
336 pages per hourStep-by-step explanation:
Given rate is
252 pages per 3/4 of an hourDivide both numbers by 3/4 to get the unit rate per hour
252 ÷ 3/4 = 252 × 4/3 = 1008/3 = 336The ratio of the distance around a circle, the circumference, to the distance across a circle, the diameter, is represented by the Greek letter a. If the circumference of a circle is 6.28 inches and the diameter of the same circle is 2 inches, what is the approximate value of a to two decimal places?
Answer:
3.14 inches
Step-by-step explanation:
diameter=2inches radius =1
The formula for circumference of a circle with radius r is 2πr.
The formula for the area of a circle with radius r is πr²
π≈3.14
So the radius of our circle is
6.28/2π
≈6.28/2×3.14=1
its area is πr²
≈3.14×1²=3.14
Question 3 of 10
Which number sentence below matches this word problem?
On Monday, 4 people signed up to go bowling. The following day, 11 more
people agreed to go. How many people are planning to go bowling?
A. 4+ 11 = 15
B. 11 x 4 = 44
C. 15-4 = 11
D. 44-4 = 11
Answer:
A
Step-by-step explanation:
On Monday 4 people signed up plus the 11 who agreed to go the following day
which adds up to 15
The quotient of (x4 – 3x2 4x – 3) and (x2 x – 3) is a polynomial. what is the quotient?
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
How to determine the quotient?The quotient expression is given as:
(x⁴ - 3x² + 4x - 3) ÷ (x² + x - 3)
Factor the dividend of the quotient expression
(x² + x - 3)(x² - x + 1) ÷ (x² + x - 3)
Cancel out the common factors
x² - x + 1
The above means that:
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
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Find the surface area of the sphere. Use 3.14 for π. Round your answer to the nearest tenth.
Show work and explain it please.
[tex]s = 4\pi {r }^{2} [/tex]
13.6/2=6.8
4×3.14×(6.8×6.8)=580.7
What is the factor form pls yall I need help lol and put how to solve it
Answer:
y = -1/2(x - 3)(x - 7)
Step-by-step explanation:
we already have the x intercepts so we can first put those in our equation
y = a(x - 3)(x - 7)
then we can plug in the vertex to find what our a value is
2 = a(5 - 3)(5 - 7)
2 = a(2)(-2)
2 = -4a
a = -1/2
so your equation is
y = -1/2(x - 3)(x - 7)
SOMEONE PLS HELP
Find the arc length of the partial circle.
Either enter an exact answer in terms of te or use 3.14 for at and enter your answer as a decimal.
units
Answer:
9.42
Step-by-step explanation:
Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:
270/360; 360 being the total angle measurement of a circle
270/360 simplifies to 3/4
The fraction represents how much of the circle that arc covers
Now we have to find the circumference which would be
2(3.14)r
r = 2 therefore: 2(3.14)2 = 12.56
Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length
Which gives us 9.42
12.3 Write the first five terms of the sequence whose general term is [tex]a_{n}=3^{n}+4[/tex] .
Answer:
7,13,31,85,247......
Step-by-step explanation:
[tex]a_n =3^n + 4[/tex]
[tex]\sf a_1=3^1 + 4 = 3 + 4 = 7\\\\a_2 = 3^2 + 4 = 9 + 4 = 13\\\\a_3 = 3^3 + 4 = 27 + 4 = 31\\\\a_4 = 3^4 + 4 = 81 + 4 = 85\\\\a_5 = 3^5 + 4 = 243 + 4 = 247[/tex]
