Answer:
The lateral surface area of the cone is [tex]25120\ m^2[/tex].
Step-by-step explanation:
We have.
Height of a cone is 60 m
Diameter of a cone is 10 m
Radius, r = 80 m
The lateral surface area of a cone is given by :
[tex]A=\pi rl[/tex]
l is slant height of the cone,
[tex]l=\sqrt{60^2+80^2} =100\ m[/tex]
Plugging all values in above formula,
[tex]A=3.14\times 80\times 100\\\\A=25120\ m^2[/tex]
So, the lateral surface area of the cone is [tex]25120\ m^2[/tex].
Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.
Can he fit the TV in his room?
Answer:
No
Step-by-step explanation:
Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.
Solving for a we get a = [tex]\sqrt{c^2-b^2}[/tex]. Then plugging in the values for c and b, we get a = [tex]\sqrt{1024}[/tex] = 32
Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.
Answer:
No, the tv is 32 inches wide.
Step-by-step explanation:
[tex]a^{2} +b^{2} = c^{2} \\24^{2} +b^{2} =40^{2} \\40^{2} -24^{2} =b^{2} \\1600-576=b^{2} \\1024=b^{2} \\\sqrt{1024} =b\\b=32[/tex]
What is the next term of the geometric sequence?
54,36, 24, _____
Can someone please explain this to me?
Answer:
16
Step-by-step explanation:
In a geometric sequence you are just multiplying basically. To go from 36 to 24, you multiply by 2/3, and the same will be with the next term. When you multiply 24 by 2/3 you get 16.
Find the measure of arc BGF
180°
Step-by-step explanation:
measure of half a circle arc is 180
From B to F is 180 degrees because BF is a diameter.
Answer: 180 degrees
Question 1
(01.01 LC)
Which of the following is a rational number? (1 point)
square root of 48, square root of 49, square root of 50, square root of 51
Group of answer choices
square root of 48
square root of 49
square root of 50
square root of 51
Answer:
49
Step-by-step explanation:
7 is rational and it's the square root of 49.
Answer:
[p
Step-by-step explanation:
Question 10(Multiple Choice Worth 5 points)
(01.01 LC)
Which of the following is a rational number?
square root of 15, square root of 16 square root of 17, square root of 18
square root of 15
square root of 16
square root of 17
square root of 18
How many times greater is the value of the 4 in 42,672 than the value of the 4 in
37,426?
Answer:
Step-by-step explanation:
Value of 4 in 42,672 = 40,000
Value of 4 in 37,426 = 400
40,000 ÷ 400 =100
Value of 4 in 42,672 is 100 times greater than value of 4 in 37,426
Can someone help me and show how to write the perimeter equation to find x.
50 points. Answer part b. for full 70 points
Answer:
a) 10x + 8 = 21
b) x = 1.3
Step-by-step explanation:
The line of symmetry is a vertical line that passes through point C.
That makes sides BC and CD congruent, and sides AB and ED congruent.
perimeter = AB + BC + CD + DE + EA
perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8
perimeter = 21
a) Equation:
10x + 8 = 21
b)
10x + 8 = 21
10x = 13
x = 1.3
please help i give ponts
Answer:
x+5+2/x+2
Step-by-step explanation:
Using polynomial division you can simplify the expression to find the above numerical answer
Answer:
x+5+2/x+2
Step-by-step explanation:
Using the unit circle find the exact value. CSC -30º =
Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]
sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus
csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2
Find the missing values (4,16) and (x,24)
Answer:
(6, 24)
Step-by-step explanation:
Find the volume of a cylinder when the radius is 9 cm and the length is 20 cm
Answer:
5089.38 cm OR 1620π
Step-by-step explanation:
The formula for the volume of a cylinder is π[tex]r^{2}[/tex]h so if the radius is 9, 9 squared is 81. We multiply 81 by 20 and that gives us 1620. So in terms of pi, it is 1620π but if you just multiply it all together, it gives you 5089.38 cm. Please mark me brainliest and I hope this helped!
Based on the radius and the length of the cylinder, we can calculate that its volume is 5,091.43 cm³.
The volume of a cylinder can be calculated by the formula:
= π x radius² x height
Solving will give:
= π x 9² x 20
= π x 81 x 20
= 5,091.43 cm³
In conclusion, the volume is 5,091.43 cm³
Find out more at https://brainly.com/question/15460773.
this is the other part! please help!
Answer:
Line B
Step-by-step explanation:
Line b is the the correct answer because the line has the most dots near or on it
Four less than 3 times a number is the same as the number plus 10 - in an equation
Answer:
4-3x=x+10
Step-by-step explanation:
4- (four less)
3x (3 times a number)
= (is the same as)
x (the number)
+10 (plus ten)
Please rate, thanks, mark brainliest if this helps!
Pleaseee help!!!!......
Answer:
D
Step-by-step explanation:
In the diagram of circle A, what is the measure of ZXYZ?
35
70°
75
140
The solution is, the value is 35 degrees, is the measure of ZXYZ.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given diagram, we get,
Using the intersecting secant theorem:
Angle xyz = 1/2( wz- XX)
Xyz = 1/2(175-105)
Xyz = 1/2(70)
Xyz= 35
The solution is, the value is 35 degrees, is the measure of ZXYZ.
To learn more on angle click:
brainly.com/question/28451077
#SPJ7
What is the simplest form of this expression y2 (3y + 4) + 5y3
Answer:
y2 (3y + 4) + 5y3 :))
Step-by-step explanation:
please give me a good rating lol
Answer:
y2(3y+4)=5y3
Step-by-step explanation:
PLEASE HELP, ILL GIVE BRAINLIEST.
URGENT.
Answer:
y=1/2x+0
Step-by-step explanation:
slope is 1/2
y=1/2x+b
plug in (0,0)
b=0
y=1/2x+0
Answer:
Equation: y=1/2x
Step-by-step explanation:
The equation's formula is: y=mx+b
m is slope b is y-intercept
Please mark brainliest! Hope this helps :)
If a car goes around a turn too quickly, it can leave tracks that form an arc of a circle. By finding the radius of the circle, accident investigators can estimate the speed of the car. To find the radius, accident investigators choose points A and B on the tire marks. Then, the investigators find the midpoint C of AB¯¯¯¯¯¯¯¯. Use the diagram to find the radius r of the circle. Round your answer to the nearest tenth.
Answer:
155.7
Step-by-step explanation:
Use what you know.
Segment AC is 130 ft
Segment CD is 70ft
If you use the Pythagorean Theorem, in this case being = +
To find segment CE, you would do r-70
So, = +
= 16,900 + -140r + 4900
Add the -140r to the left side and then get rid of the two . Then Add 16,900 and 4900 together
You'll end up with 140r = 21,800
Divide 140 on each side.
Your final answer will be 155.7 (rounded to the nearest tenth)
you can choose more than 1
Answer:
A
Step-by-step explanation:
If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.
Hope this helped!
Answer:
A
Step-by-step explanation:
If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.
3(q+ 4/3)=2 solve for q
Answer:
-2/3
Step-by-step explanation:
multiply by 3
= 3q+4=2
subtract the 4
= 3q=-2
q= -2/3
Answer:
-2/3
Step-by-step explanation:
I need help please!!!
Data was collected on the weight of a male laboratory rat for the first 25 weeks
after its birth. The linear regression equation is y= 40x+100, where x is number of
weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?
The predicted weight of the rat in year 0.
The current weight of the rat.
The predicted weight of the rat at birth
The average increase in the rat's weight
Answer:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
Step-by-step explanation:
For this case we have the following equation given:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.
Answer:
y = -7x+4
Step-by-step explanation:
We can use the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
We know the slope
y = -7x+b
We have a point to substitute in for x and y
-3 = -7(1) +b
-3 = -7+b
Add 7 to each side
-3+7 =b
4 =b
We can substitute this back into
y = -7x+b
y = -7x+4
Answer:
y+-7x+4
Step-by-step explanation:
y-y1=m(x-x1)
y+3=-7(x-1)
y+3=-7x+7
y=-7x+4
A right-angled triangle has a hypotenuse
of length 45 cm and adjacent sides of
36 cm and 27
Calculate the perimeter and area
Answer:
P = 108cm
A = 486 cm^2
Step-by-step explanation:
To find the perimeter add up all the side
P = 36+27+ 45 =108 cm
The area is
A = 1/2 bh
A = 1/2( 27)*36
A = 486 cm^2
On a coordinate plane, triangle A B C has points (negative 3, negative 1), (negative 2, negative 3), (1, negative 1) and is reflected across y = 1. Reflect the figure over the line y = 1. Which is point A’ after the reflection? A’(–3, 1) A’(–3, 3) A’(–3, 2) A’(1, 1)
Answer:
A' = (-3, 3)
Step-by-step explanation:
If the points are as follows:
A = (-3, -1)
B = (-2, -3)
C = (1, -1)
When reflecting across a y axis the x values remain the same.
When reflecting across y = 1 the y values will remain equal distant from y = 1.
A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3
B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5
C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3
Answer:
A' = (-3, 3)
Step-by-step explanation:
Math question down below
Answer:
answer is E
Step-by-step explanation:
Answer:
Another way to show [tex]\frac{9}{2}[/tex] is (E. 9 ÷ 2)
Step-by-step explanation:
A. 2 x [tex]\frac{1}{9}[/tex] = [tex]\frac{2}{9}[/tex] (incorrect)
B. 2 x [tex]\frac{9}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 (incorrect)
C. 2 ÷ 9 = 0.22 (incorrect)
D. 9 ÷ [tex]\frac{1}{2}[/tex] = 18 (incorrect)
E. 9 ÷ 2 = 4.5 (correct)
PLEASE HELP!!!
I don't understand....
If possible, please explain!
Answer:
A. HL
Step-by-step explanation:
It cant be B because you cant do SSA
Its not C. Because there is only 1 angle
and it cant be D because the angles dont line up.
So is A. HL
An owner of a restraint wants to conduct a survey about possible menu changes. Give an example of a sampling method that would produce a valid sample.
Do you mean restaraunt?
Every 10th customer Every 15th customerSomething like that. I hope this helps.
Find the constant of variation k for the inverse variation. Then write an equation
for the inverse variation.
y=2.5 when x = 9
Answer:
k = 22.5
xy= 22.5
Step-by-step explanation:
A number that is at most 60
Answer:
60
Step-by-step explanation:
Answer:
60>x
Step-by-step explanation:
there is the line under the greater than sign
-5 3/4 - 3 1/2=
plzzzzzzzzzzz help me
Answer:
-9 and 1/2
Step-by-step explanation:
just plug them in the calculator
Answer:
-2 1/4
Step-by-step explanation:
I converted these to decimals and did the equation from there.