Step-by-step explanation:
Height of the right circular cone = 18.8 metres
And base is 19.3 metres
Volume of the right circular cylinder is given by,
= πr²h
= 3.14 × (19.3)² × 18.8
= 21999.98(approx.) cubic metre
Rounding off nearest tenth
= 21999 cubic metres
The volume of the right circular cone is 280,199.5 m³
What is a right circular cone?
'A right circular cone is a cone where the axis of the cone is the line meeting the vertex to the midpoint of the circular base.'
According to the given problem,
Height = 18.8 m
Radius = 19.3 m
Volume of right circular cone = [tex]\frac{\pi r^{2}h }{3}[/tex]
= [tex]\frac{\pi * 19.3^{2} * 18.8}{3}[/tex]
= 280199.499 m³
= 280199.5 m³
Hence, we can conclude that the volume of the right circular cone is 280199.5 m³.
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What is the surface area of the rectangular prism below?
Answer:
108 in.
Step-by-step explanation:
SA = 2(lw + wh + lh)
SA = 2((6)(4) + (4)(3) + (6)(3)
SA = 2(24) + (12) + (18)
SA = 2(54)
SA = 108 in.
Answer:
108
Step-by-step explanation:
I need help but they are getting confused with the z as a 2 please don’t get confused the z is a z
Step-by-step explanation:
everything can be found in the picture
Answer:
w = - (7/2) z
Step-by-step explanation:
5w + 9z = 2z + 3w
Subtract 3w from both sides
2w + 9z = 2z
Subtract 9z from both sides
2w = -7z
Divide both sides by 2
w = - (7/2) z
All squares are rectangles but not all rectangles are squares. Prove wheater this statement is true or false with an explanation
1. Area =
Perimeter =
help me pls i wanna go home ;(
Answer:
Area of a triangle=1/2base x height
1/2x12x4
6x4
24units
Perimeter is the distance round the given figure
9+12+5
26units
What is the vertex of the parabola with the equation y
3x2 + 2x – 8?
Answer:
Step-by-step explanation:
If you're tasked to do this mathematically, you have to complete the square to get it into vertex, or work, form. Do that by first setting the equation equal to 0 then moving over the constant:
[tex]3x^2+2x=8[/tex] Next you have to have a +1 as the leading coefficient, and ours is a 3, so we factor it out:
[tex]3(x^2+\frac{2}{3}x)=8[/tex]. Now take half the linear term, square it, and add it in to both sides. Our linear term is 2/3. Half of 2/3 is 2/6 which reduces to 1/3. Squaring 1/3 gives us 1/9, so that's what we add in.
[tex]3(x^2+\frac{2}{3}x+\frac{1}{9})=8+\frac{1}{3}[/tex] to the right of the equals sign we added in 3*1/9 which is 3/9, which reduces to 1/3. Now we clean up both sides. The right side is easy; the left side, not so much. The reason we do this (complete the square) is to get a perfect square binomial on the left. When we re-write the left side into that perfect square binomial, we get
[tex]3(x+\frac{1}{3})^2=\frac{25}{3}[/tex] Now we move the constant back over and set the parabola back equal to y:
[tex]y=3(x+\frac{1}{3})^2-\frac{25}{3}[/tex] which shows us that the vertex is
[tex](-\frac{1}{3},-\frac{25}{3})[/tex]
5) Last week a Pizza Hut sold 36 cheese pizzas, 64 pepperoni pizzas, and 20 veggie pizzas. Based on these data, which number is closest to the probability that the next customer will order a cheese pizza?
Answer:
[tex]P(Cheese) = 0.30[/tex]
Step-by-step explanation:
Given
[tex]Cheese = 36[/tex]
[tex]Pepperoni = 64[/tex]
[tex]Veggie = 20[/tex]
Required
[tex]P(Cheese)[/tex]
This is calculated as:
[tex]P(Cheese) = \frac{Cheese}{Total}[/tex]
[tex]P(Cheese) = \frac{36}{36+64+20}[/tex]
[tex]P(Cheese) = \frac{36}{120}\\[/tex]
[tex]P(Cheese) = 0.30[/tex]
If θ is an angle in standard position and its terminal side passes through the point (-4,-9), find the exact value of \tan\thetatanθ in simplest radical form.
Given:
θ is an angle in standard position and its terminal side passes through the point (-4,-9).
To find:
The exact value of tanθ in simplest radical form.
Solution:
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:
[tex]\tan \theta=\dfrac{-9}{-4}[/tex]
[tex]\tan \theta=\dfrac{9}{4}[/tex]
Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: 46º
Step-by-step explanation:
The Triangle Sum Theorem states that all triangles’ angles add up to a total of 180º. Therefore, to find X, just set up an equation.
70+64+X=180
134+X=180
-134 -134
X=46
Hope this helps!
Which statement is NOT true concerning the graphing of a linear system?
------------------------------------------------------------------------------------------------------------------------------
Systems of linear equations that contain coordinates with fractions or decimals can be challenging.
You need to be careful and plot straight lines.
You can only graph a system of linear equations with a graphing calculator.
The point of intersection of lines that intersect at a shallow angle is difficult to determine.
You can only graph a system of linear equations.
What is the value of a in the equation 4a + 3(a + 1) = 24?
A. 2
B. 3
C. 7
D. 21
Answer:
B. a = 3
Step-by-step explanation:
4a + 3(a + 1) = 24
4a + 3a + 3 = 24
7a + 3 = 24
7a + 3 - 3 = 24 - 3
7a = 21
7a ÷ 7 = 21 ÷ 7
a = 3
Answer:
B
Step-by-step explanation:
Given
4a + 3(a + 1) = 24 ← distribute parenthesis and simplify left side
4a + 3a + 3 = 24
7a + 3 = 21 ( subtract 3 from both sides )
7a = 21 ( divide both sides by 7 )
a = 3 → B
GRAM is a parallelogram with diagonals RM and GA. If RP = x+7 , PA = 2x+18 , and GP = 8x , find RM
Answer:
RM =20
Step-by-step explanation:
Find the diagram of the parallelogram attached
From the diagram, GP = PA
8x = 2x+18
8x - 2x = 18
6x = 18
x = 18/6
x = 3
Since RM = 2RP
RM = 2(x+7)
RM = 2(3+7)
RM = 2(10)
RM =20
Hence the length of RM is 20
HELPPPPPPPPPP!!!! IF ITS RIGHT I WILL MARK
Solve 3t + 2 = 5t - 4
Options:
t = 3
t = -1
t = 2
Answer:
t=3
Step-by-step explanation:
Heres why i think t=3
Replace the T in 3t+2
3x3+2
9+2=11
11=5t-4
Now Replace the t again by 3
5x3-4
15-4
11
11=11
T=3
Answer:
t = 3
Step-by-step explanation:
3t + 2 = 5t - 4
2 + 4 = 5t - 3t
6 = 2t
6/2 = 2/2t
t = 3
if this helps you, please mark brainliest!
Please help I really need ur help please
Answer:
y = 3x - 30
Step-by-step explanation:
First, put both equations into slope-intercept form.
x + 3y - 4 = 0
3y = -x + 4
y = (-1/3)x + (4/3)
2x + 5y - 20 = 0
5y = -2x + 20
y = (-2/5)x + 4
For a line to be perpendicular to y = (-1/3)x + (4/3), its slope should be the opposite and reciprocal of this line's slope.
The slope of y = (-1/3)x + (4/3) is (-1/3). The slope of a perpendicular line is 3.
To find the x-intercept of y = (-2/5)x + 4, plug in 0 for y and find x.
0 = (-2/5)x + 4
x = 10
The equation of the line right now is y = 3x + b
Plug in (10, 0) to find the y-intercept.
0 = 3(10) + b
b = -30
The equation of the line is y = 3x - 30
Solve for X. the Polygons in each pair are similar.
Answer:
x = 7
Step-by-step explanation:
If the triangles are similar, the side length ratios have to be the same
49 63
------------- = ---------
42 8x-2
Using cross products
49 ( 8x-2) =42 (63)
Divide each side by 49
8x-2 = 42*63/49
8x -2 = 54
Add 2 to each side
8x = 56
Divide b 8
8x/8 = 56/8
x = 7
a square garden has an area of 6400 square find its perimeter
CAN SOMEONE HELP ME PLZ
Answer:
what is it's perimeter?
For the graph of the inequality x - 2y >4, what is a value of x for a point that is on the
boundary line and the axes?
0-2
04
-4
O2
Answer:
Step-by-step explanation:
Explanation:
First, find two points on the line if you change the inequality to an equation.
For
x
=
0
:
0
+
2
y
=
4
2
y
=
4
2
y
2
=
4
2
y
=
2
or
(
0
,
2
)
For
y
=
0
:
x
+
0
=
4
x
=
4
or
(
4
,
0
)
We can plot these two points and draw a line through them to get the border of the inequality:
graph{(x^2+(y-2)^2-0.075)((x-4)^2+y^2-0.075)(x+2y-4)=0}
The line will be solid because the inequality operator has a "or equal to" clause in it. We can now shade the area to the right of the line because the inequality has a "great than" clause in it.
graph{(x+2y-4)>=0}
someone please help me!!!!!!!
Step-by-step explanation:
In the second step while opening the bracket, instead of 'a', there should be - 4a.
Answer:
From Step 2 every step is wrong
Step-by-step explanation:
Ste p 1 : 3a - 5b = 12 - 4(b + a)
Step 2 : 3a - 5b = 12 - 4b - 4a [ Last term instead - 4a she\he wrote + a ]
Step 3 : 7a - 5b = 12 - 4b
Step 4 : 7a = 12 + b
[tex]Step 5 : a = \frac{12 + b}{7}[/tex]
if £2000 is placed into a bank account that pays 3% interest compound into how much will be in the account after 2 years?
Answer: The answer is £2121.8.
You can check this formula....
The area of a rectangular field is 7626m2. If the length of the field is 93m, what is its width?
Answer:
The width is [tex]82m[/tex]
Step-by-step explanation:
------------------------------>>>>
The formula to find the area of a rectangle is [tex]A=lw[/tex]
We already know the area of the rectangular field which is [tex]7626m[/tex]
We already know the length is [tex]93m[/tex]
--------------->>>>
Now let's substitute [tex]7626[/tex] for [tex]A[/tex] because that's the area and substitute [tex]93[/tex] for [tex]l[/tex] because that's the length. After that, let's solve to find the width.
[tex]7626=93w[/tex]
Divide both sides by 93 because that's the opposite of multiplication.
[tex]82=w[/tex]
--------------->>>>
This means that the width of the rectangular field is [tex]82m[/tex]
Hope this is helpful
Two similar triangles have a scale factor of 5:3. The perimeter of the larger triangle is 75 sq inches. What is the perimeter of the smaller triangle measured in inches?
Answer:
45 inches
Step-by-step explanation:
Create a proportion where x is the perimeter of the smaller triangle:
[tex]\frac{5}{3}[/tex] = [tex]\frac{75}{x}[/tex]
Cross multiply and solve for x:
5x = 225
x = 45
So, the perimeter of the smaller triangle is 45 inches
can someone please help PLEASE
Please halp due today its fill in the blanks dont do it randomly please
fill in the blanks with the words at the bottom
Please help I’ll give brainliest
Answer:
Exponent or indexStep-by-step explanation:
An exponent or index is a number or letter written above and to the right of a mathematical expression called the base.
It indicates that the base is to be raised to a certain power.
Here,
3, 4 and 12 are the letters which are written above the base 2.
So,
3, 4 and 12 are exponent or index
A rectangular prism has a height of 10 inches, breadth of 19 inches and length twice the height. What is the volume of the prism?
Answer:
3800
Step-by-step explanation:
Volume= Length x width x height
v=20x19x10
v=3800 inches²
Brainliest please
Solve: log2(3x + 8) = 5 Which is an equivalent equation?
Answer: 5/log (8) - 8/3
Step-by-step explanation:
Answer:
A:2^5=3x + 8 /x=8/The next part is B.x3=64 /x=4
Step-by-step explanation:
I just did it hope this helps
Irene faced north. She turned 270 ° to the left and then 90 ° more to the left.
In what direction is Irene now facing?
Which of the following is the correct definition of payment shock??
Answer:
payment shock refers to a dramatic increase in an individual's debts and liabilities that may cause them to default on their financial obligations. Put simply, payment shock occurs when, rather suddenly, someone is obligated to pay more in monthly debt than they can afford from their income
Answer: The new payment after the initial fixed-rate period is much higher
than the homeowner expected.
Step-by-step explanation: took the quiz.
find the outer perimeter of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate π.
Answer:
19.42 ft.
Step-by-step explanation:
The diameter of the semicircle is 6, so 3.14 x 6 = 18.84. Since it is a semicircle, we divide that by 2 to get 9.42.
The hypotenuse of the right triangles only matter for the perimeter. 5 + 5 = 10, and 9.42 + 10 = 19.42 ft.
The outer perimeter is 19.42 ft.
What is perimeter?Perimeter is the distance around the edge of a shape.
Given:
radius= 3 ft
height= 4 ft
slant height= 5 ft
diameter of the semicircle is 6 feet.
So,
= 3.14 x 6 = 18.84.
Since it is a semicircle,
=18.84/2
=9.42 feet
Now, the perimeter.
= 5 + 5 +9.42
= 19.42 ft.
Hence, the perimeter is 19.42 feet.
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will give brainliest !!PLSS HELP fast !! and explain
Answer:
C
Step-by-step explanation:
Difference means subtraction. That makes B incorrect.
D is wrong because we have no way of knowing if g and h are squares.
A is wrong because the numerical numbers (2 and 6) are not perfect squares. Even if you take out a 2 you are not left with numbers that are prefect squares.
That leaves with C which is the correct answer. The literals are perfect squares and so are the numbers.
Answer:
C
Step-by-step explanation:
5 x 1/7
The question
Answer:
5/7 or 0.71 is the answer
