Answer:
3014 cubit foot
Step-by-step explanation:
Find the diagram attached
Volume of the cone = 1/3πr²h
r is the base radius of the cone
h is the height
Given
r = 6ft
Get the height using the pythagoras theorem
h² = 10² - 6²
h² = 100 - 36
h² = 64
h = √64
h = 8ft
Get the volume
Volume = 1/3πr²h
Volume = 1/3 * 3.14 * 6^2*8
Volume = 3.14 * 12 * 8
Volume =3,014.4
Volume = 3014 cubit foot to the nearest foot
is negitive -2.5 greater than -3
Answer:
yes
Step-by-step explanation:
–2.5 is greater than –3, because –2.5 lies to the right of –3 on the number line.
In rugged terrain, Martin can hike 1/8 Mile in 1/2 hour. At this rate, how far can Martin hike in 1 hour?
A. 5/8 mile
B. 1/16 mile
C. 1/4 mile
D. 1/6 mile
There are 4 games at the carnival Kevin played all the games in 40 minutes how many minutes did he spend at each games if he spent an equal amount of time at each
In the figure name ALL the angles that are congruent to angle 8.
The angels that are congruent to 8 are 6, 3, 1.
prove that √p is an irrational number , if p is not a perfect square.
[tex] \huge \frak \green{question}[/tex]
prove that √p is an irrational number , if p is not a perfect square.
[tex] \huge \frak \red{answer}[/tex]
Let us assume, to the contrary, that √p is rational. So, we can find coprime integers a and b(b ≠ 0) such that :-
=> √p = a/b
=> √p b = a
=> pb² = a² ….(i) [Squaring both the sides]
=> a² is divisible by p
=> a is divisible by p So, we can write a = pc for some integer c.
Therefore,
a² = p²c² ….[Squaring both the sides]
=> pb² = p²c² ….[From (i)]
=> b² = pc²
=> b² is divisible by p
=> b is divisible by p
=> p divides both a and b.
=> a and b have at least p as a common factor.
But this contradicts the fact that a and b are coprime. This contradiction arises because we have assumed that √p is rational. Therefore, √p is irrational.
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[tex] \bold \green{i \: hope \: it \: is \: helpful}[/tex]
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Distributive Property to solve the equation. 5(x - 6) + 8 = 7x- 8 (Type the value of x.)
Answer:
x=−7
Solving for X:
Step 1: Simplify both sides of your equation.
5x−22=7x−8
Step 2: Subtract 7x from both sides.
5x−22−7x=7x−8−7x
−2x−22=−8
Step 3: Add 22 to both sides.
−2x−22+22=−8+22
−2x=14
Step 4: Divide both sides by -2.
-2x/-2 = 14/-2
^ x = -7
THEREFORE:
x is −7
What is the area of the shaded region
36
9
52
27
Answer:
36
Step-by-step explanation:
Length x width = area (6 x 6 = 36). Hope this helps.
Help pleaseeeeeeeeeee
Answer:
1.No
2.No
Step-by-step explanation:
5=x+5 x=10
5=10+5
5=15 is not solution
12x=196 x=7
12*7=196
84=196
3x+3/2=x/2-6 maths chapter
Answer:
x=-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
3x+3/2=x/2-6
=6x+3/2=x-12/2
=2x-24=12x+6
=2x-12x=6+24
= -10x=30
= -3
Evaluate the numerical expression.
(5 + 3) x 2 - 6
please help!
Answer:
10
Step-by-step explanation:
Please use " * " or " · " to indicate multiplication; " x " is a variable, not an operator.
(5 + 3) x 2 - 6 => (5 + 3)·2 - 6
Order of operations rules require that we do first any work inside parentheses. So we have:
(5 + 3)·2 - 6 => (8)·2 - 6
Those same rules dictate that we must multiply before subtracting. So now we obtain:
16 - 6 = 10
I'm stuck on this question.
Answer:
Fred's total net worth is $61,900
Step-by-step explanation:
For net worth, add assets together and then subtract the liabilities from the total:
90,000 + 12,500 + 20,200
122,700 - (53,000 + 5,800 + 2,000)
61,900
Answer:
$61,900
Explanation:
Add all the assets: 90000 + 12500 + 20200 = 122700
Add all the liabilities: 53000 + 5800 + 2000 = 60800
Total assets - liabilities: 122700 - 60800 = $61900
2. Hannah's pay varies directly to the number of hours she works. If she made $231 for 28 hours of work, identify the constant of variation and write an equation to represent the relationship.
Answer:
Constant of variation: $8.25
Equation: y=8.25x
Step-by-step explanation:
231/28=8.25
Answer:8.25
Step-by-step explanation:
231/28
Regina Falange is 173 cm tall, making her line of sight exactly 163 from the ground. She is looking at a hawk in a tree and both are on level ground. The trunk of the tree is 10 meters away from her location and the angle of elevation from her eyeline to the hawk is 30 degrees. What is the hawk’s height above the ground?
a. Drawn a diagram that outlines the situation. Be sure to label the tree, hawk, Regina, the angle, etc.
b. Find the height of the hawk above the ground in cm. (Hint: Remember Regina’s height.) Round to the nearest hundredth.
Answer: 7.40 meters
Step-by-step explanation:
I went with 163 cm for the height because it says her eyeline is at 163 cm. I don't assume she would be looking from the top of her head so I went with that over 173 cm(h for hawk)
All you do is:
tan(30)=opposite/adjacent
tan(30)=h/10
10*tan(30)=h
h≈5.77 meters
163cm converted to meters is 1.63 meters, so add it to 5.77 and you will get 7.40 meters
This might help as well: https://www.ck12.org/book/ck-12-trigonometry-concepts/section/1.13/
Which algebraic representation
should be used to find the
coordinates for Figure JKLM, the
reflection of Figure JKLM over
the y-axis?
A (x, y) = (x, y)
B (x, y) = (x,-)
C (x, y) (-, -y)
D (x, y) (-, y + 1)
Which iequailty model and solution set best represents the possible side lengths of miriam's bulletin board?
Question:
Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?
Answer:
[tex]x \le 18[/tex]
Step-by-step explanation:
Given
[tex]Border\ Material = 72[/tex]
Required
Determine an inequality for x
Represent the side lengths of the border with y. So:
Since the border is on the 4 sides, then
[tex]4y = 72[/tex] -- i.e. the perimeter of the border material
Solve for y
[tex]y =\frac{72}{4}[/tex]
[tex]y =18[/tex]
Recall that x represents the board's side length.
Since x will be situated inside the boarder, then.
[tex]x \le y[/tex]
Substitute [tex]y =18[/tex]
[tex]x \le 18[/tex]
the area of a rectangle is the same as the area of a square of side 12cm if the rectangle is 16cm long find its width
Answer:
9
Step-by-step explanation:
first find the square's area by multiplying 12 × 12 to get 144
then divide 144 ÷ 16 to find the width which is 9
A rectangular piece of fabric was used to make a banner. It measured 12 feet long and had an area of 24 square feet. What is its perimeter?
Answer:
the perimeter is 28
Step-by-step explanation:
2+2=4
12+12=24
24+4=28
Answer:
Perimeter = 28 feet
Step-by-step explanation:
The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement
12 * d = 24
d = 24/12
d = 2
So the missing dimension is 2 feet
Now we simply find the perimeter of the rectangle using the formula
2 ( length + width)
= 2 (12 + 2 )
= 2 ( 14 )
= 28 feet
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4
Given:
PQRS is a rectangle.
X is the midpoint of SR.
To find:
The measure of QX.
Solution:
It is given that X is the midpoint of SR. Draw a perpendicular on PQ from point X as shown in the below figure.
Now, the line XY divides the rectangle PQRS into two equal squares of sides 4 units.
The diagonal of a square is:
[tex]d=a\sqrt{2}[/tex]
Where, a is the side length of the square.
QX is the diagonal of the square whose side length is 4 units. So, the length of QX is:
[tex]d=4\sqrt{2}[/tex]
[tex]d=5.656854[/tex]
[tex]d\approx 5.7[/tex]
Therefore, the measure of segment QX is about 5.7 units.
1.55y-(5y-17)/100=0.02
Write in word form:
436,783,210
Answer:
Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten
Step-by-step explanation:
four hundred and thirty six
seven hundred and eighty three
two hundred and ten
Step-by-step explanation:
Please help ASAP I’ll mark you as brainlister
Answer:
So Sorry Omg Wait I'll will come back
Answer:
The length of rectangular prism(l)=13inch
The breadth of rectangular prism(b)=9inch
the height of rectangular prism(h) =3inch
Volume of a rectangular cuboid =l×b×h
=13×9×3inch (write cube too)
=351 inch (write cube too)
hii please help i’ll give brainliest
Answer:
third one
Step-by-step explanation:
pls try it yourself lololol
Oliver drove 278 miles in 4 hours how much hours does it take him to drive 139 miles
PLSSS HELP
Answer:
34.75 i think
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf 2 \ hours}}[/tex]
Step-by-step explanation:
Let's set up a proportion to solve. Use the following setup:
[tex]\frac {hours}{miles}=\frac{hours}{miles}[/tex]
We know that it takes Oliver 4 hours to drive 278 miles.
[tex]\frac {4 \ hours}{278 \ miles}=\frac{hours}{miles}[/tex]
We don't know how long it takes him to drive 139 miles. Therefore, we use the variable x for hours, because it is unknown.
[tex]\frac {4 \ hours}{278 \ miles}=\frac{x \ hours}{139 \ miles}[/tex]
[tex]\frac {4 }{278 }=\frac{x \ hours}{139 }[/tex]
We are solving for x, the hours it takes him to drive 139 miles. The variable must be isolated. It is being divided by 139 and the inverse of division is multiplication. Multiply both sides of the equation by 139.
[tex]139*\frac {4 }{278 }=\frac{x \ hours}{139 }*139[/tex]
[tex]139*\frac {4 }{278 }={x }[/tex]
[tex]2=x[/tex]
It takes Oliver 2 hours to drive 139 miles.
Abigail and her children went into a movie theater and she bought $71.50 worth of
drinks and pretzels. Each drink costs $4 and each pretzel costs $4.75. She bought a
total of 16 drinks and pretzels altogether. Determine the number of drinks and the
number of pretzels that Abigail bought.
Answer: The number of drinks she bought would be 6 and the number of pretzels she bought would be 10.
In the triangle above, the measure of A is 66°, and the measure of B is 68°. What is the measure of C?
Answer:
46°
Step-by-step explanation:
Given that :
Angle, A = 66°
Angle B = 68°
The sum of angles in a triangle is given by :
A + B + C = 180° (sum if angles una triangle)
66° + 68° + C = 180°
134° + C = 180°
C = 180° - 134°
C = 46°
Hence, angle C is 46°
Kenji deposited $10 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 3 years?
0.3 so yea i guess....
Answer:
Step-by-step explanation: 380
HELPPP ITS A TESTAKAJNSDUJSWMNS
Answer:
5^6
Step-by-step explanation:
by the law of exponents,
5^2 * 5^(-8)
5^ [2+ (-8)]
5^(2-8) = 5^-6 = 1/5^6 = 5^6
Please answer correctly! I will mark you as Brainliest!
Answer:
the height is 9.8 cm
Step-by-step explanation:
71.54 ÷ 7.3 = 9.8
The Vatican has to be guarded 24 hours a day. Fifteen Swiss Guards are ordered to split each day's guard duty equally. How long will each Swiss Guard spend on guard duty in one day? Record your answer in hours and minutes.
Answer: Each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.
Step-by-step explanation:
Given: The Vatican has to be guarded 24 hours a day.
Total Swiss Guards = 15
If they split each day's guard duty equally, the time they will spend on guard duty in one day = (24)÷ 15
= [tex]\dfrac{24}{15}[/tex] hours
[tex]=\dfrac85[/tex] hours
[tex]=1\dfrac35[/tex] hours
= [tex]\text{1 hour }\dfrac35\times60\text{ minutes}[/tex]
= [tex]\text{ 1 hour }36\text{ minutes}[/tex]
Hence, each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.
Find the Volume if the height is 10 cm and radius 3 cm? Round to the nearest
whole number
[tex]282.8cm pa brainlest po[/tex]