Answer:
The cylinder's height is 14 cm
Step-by-step explanation:
Recall that the formula for the volume of a cylinder is given by:
[tex]Volume=\pi\,R^2\,\,H[/tex]
where R is the radius of the cylinder's base, and H the cylinder's height (which we we don't know and need to find)
In order to use this formula to solve for our unknown we need to obtain the radius "R" by using the second piece of information on the length of the base's circumference (22 cm). Recall the formula for the length of a circumference of radius R:
[tex]length=2\,\pi\,\,R[/tex]
Then, in our case:
[tex]length=2\,\pi\,\,R\\22=2\,\pi\,\,R\\R=\frac{22}{2\,\pi} \\R=3.50\,\,cm[/tex]
We now use this information in the volume equation to find the cylinder's height:
[tex]Volume=\pi\,R^2\,\,H\\539\,\,cm^3=\,pi\,(3.5\,\,cm)^2\,\,H\\H=\frac{539}{\pi\,12.25} \,cm\\H=14.0 \,cm[/tex]
Can someone please help ?!
Answer:
4 * pi
Step-by-step explanation:
Given r = 10
Formula for the circumference of this full circle is:
2 * r * pi
2 * 10 * pi = 20 * pi
Given one (biggest) part = 16 * pi of this circle.
The other (smaller) part must therefore be:
20 * pi - 16 * pi
4 * pi
The area of a rectangle is 112 units squared.
The length is 7 and the width is the square root of "x".
What would be the value of "x"?
What is the width of the rectangle?
Answer:
Step-by-step explanation:
The area for a rectangle is A = LW. We know the area and we also know the length. We are solving for the width.
[tex]112=7\sqrt{x}[/tex] and
[tex]16=\sqrt{x}[/tex]
Siince the width is given as the square root of x, and the square root of x is equal to 16, then the width is 16. Now to find the value of x from the last statement in our equation. If
[tex]16=\sqrt{x}[/tex] and we want to solve for x, we will square both sides, since squaring undoes a square root. Since this is an equation, we have to square both sides.
256 = x
The area of the rectangle is 112 units and the width is 16 units
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Now , the value of A is
A = 112 units
Let the length of the rectangle be L = 7 units
Let the width of the rectangle be W = √x units
Now , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of the rectangle = 7 √x
7√x = 112
Divide by 7 on both sides of the equation , we get
√x = 16
Taking the square on both sides of the equation , we get
x = 16²
x = 256
Therefore , the value of x is 256
Hence , the width of the rectangle is √x = 16 units
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Yesterday. Grace drove 45 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
36.4miles per gallon
Step-by-step explanation:
Divide 45 1/2 by 1 1/4. This gives 36 2/5
Hope this helps.
The product of two positive numbers is 1,800. One number is twice the other number. The equation to determine the two numbers, with x representing the value of the lesser number, is x(2x) = 1,800. What is the value of the lesser number?
Answer:
600
Step-by-step explanation:
x+2x=1800
3x=1800
x=600
Answer:
- 30
Step-by-step explanation:
The 2 numbers are x and 2x and thir product is 1800, that is
x × 2x = 1800
2x² = 1800 ( divide both sides by 2 )
x² = 900 ( take the square root of both sides )
x = ± [tex]\sqrt{900}[/tex] = ± 30
The 2 numbers are 30 and - 30 with - 30 being the lesser number
In ΔWXY, the measure of ∠Y=90°, the measure of ∠W=60°, and YW = 40 feet. Find the length of WX to the nearest tenth of a foot.
Answer:
XW = 80 feet
Step-by-step explanation:
To answer this question, we shall be needing a diagrammatic representation of the triangle.
Please check the attachment for this.
We are told to calculate the length XW and this refers to the hypotenuse of the triangle.
The other side that we have is the adjacent.
So yo calculate the length of XW, we need a trigonometric identity that links hypotenuse and adjacent together.
The trigonometric identity to use here is the cosine.
Mathematically;
Cos of an angle = length of the adjacent/length of the hypotenuse
Cos 60 = 40/XW
XW = 40/Cos 60
Cos 60 = 1/2 or 0.5
XW = 40/0.5 = 80 feet
how to find a side length in a triangle with all the degrees and one side length
Answer:Case I
When we know two sides of the right triangle, in which case, we will use the Pythagorean theorem
Case II
When we know 1 side and 1 angle of the right triangle, in which case, we will use good old sohcahtoa
Step-by-step explanation:
Complete the statements.
A triangular prism has__bases and___lateral faces
A triangular pyramid has____
bases and___lateral faces
Answer:
A triangular prism has two bases and three lateral faces.
A triangular pyramid has one base and three lateral faces.
Step-by-step explanation:
A triangular prism is a solid geometrical shape. The base is triangular in shape. There are two bases that are triangular. Other lateral faces are rectangular in shape. They are three in number.
A triangular pyramid is also a solid geometrical shape. The base is a polygon. The lateral faces are triangular in shape and are three in number. The lateral faces are congruent.
Answer:
So im to lazy to right the answer so just look above me so hows it going?
Step-by-step explanation:
Find x if f(x)=2x+7 and f(x)=-1
Answer: -4
Step-by-step explanation:idk
Answer:
x= -4
Step-by-step explanation:
Take the two functions to equal to eachother, bring 7 to the right side of the equal sign which will now be negative and minus it with -1 to get -8 . Then divide 2 both sides to get x= -4.
Solve for w.
14 + 3(–w + 6) = –11w
w =
Answer:
w = -4
Step-by-step explanation:
→Distribute the 3 to (-w + 6):
14 + 3(-w + 6) = -11w
14 -3w + 18 = -11w
→Add like terms:
-3w + 32 = -11w
→Add 11w to both sides:
8w + 32 = 0
→Subtract 32 from both sides:
8w = -32
→Divide both sides by 8
w = -4
Answer:
w= -4
work:
14-3w+18=-11w
32-3w=-11
-3w+11w=-32
8w=-32 divide by 8 then you will get your answer
w=-4
A 14-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 9 feet from the base of the building. How high up the wall does the ladder reach?
Answer:
10.7 feet
Step-by-step explanation:
The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.
The hypotenuse of the triangle is 14 feet (length of ladder)
The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)
We need to find the height of the triangle. We can apply Pythagoras rule:
[tex]hyp^2 = a^2 + b^2[/tex]
where hyp = hypotenuse
a = base of the triangle
b = height of the triangle
Therefore:
[tex]14^2 = 9^2 + b^2\\\\196 = 81 + b^2\\\\b^2 = 196 - 81 = 115\\\\b = \sqrt{115} \\\\b = 10.7 feet[/tex]
The wall reaches 10.7 feet high.
find the perimeter of this figure to the nearest hundredth use 3.14 to approximate pi P=?ft
Answer:
Step-by-step explanation:
perimeter of the figure = perimeter of the rectangle + perimeter of the semicircle
= 2(l+B) + [tex]\pi[/tex] r
= 2( 10+8) + 3.14 × 5
= 36 + 15.7
= 51.7
= 100 ( rounding off to nearest hundredth )
hope this helps
plz mark it as brailiest!!!!!!
Answer:
48.57 ft
Step-by-step explanation:
Perimeter of Rectangle:
=> 2L+2B
Where L is length and B is Breadth
=> 2(10)+2(8)
=> 20+16
=> 36 ft
Here, Perimeter of Semi-circle:
=> πD/2
Where D = 8
=> (3.14)(8)/2
=> 12.57 ft
Perimeter of the figure
=> 36+12.57 = 48.57 ft
Answer these please!!!!
Answer:
2/3
Step-by-step explanation:
i hope this helps but um... 2/1÷2/3=2/3
In quadrilateral QRST, m is 68°, m is (3x + 40)°, and m is (5x − 52)°. What are the measures of , , and ? Write the numerical values in that order with the measures separated by commas.
Answer:
m∠R = 112°, m∠S = 112°, m∠T = 68°
Step-by-step explanation:
In a cyclic quadrilateral QRST,
m∠R + m∠T = 180° [Since opposite angles of a cyclic quadrilateral measure 180°]
(3x + 40)° + (5x - 52)° = 180°
8x - 12 = 180
8x = 180 + 12
8x = 192
x = 24
m∠R = (3x + 40) = 3×24 + 40
= 72 + 40
= 112°
m∠T = 180° - m∠R
= 180° - 112°
= 68°
Since m∠Q = 68°
m∠S = 180° - m∠Q
= 180° - 68°
= 112°
Therefore, m∠R = 112°, m∠S = 112°, m∠T = 68°
Answer:
112, 112, 68
Step-by-step explanation:
It took me over 15 min to figure out what the answer was. When answering it, you have to be very specific.
(CO 3) Ten rugby balls are randomly selected from the production line to see if their shape is correct. Over time, the company has found that 89.4% of all their rugby balls have the correct shape. If exactly 7 of the 10 have the right shape, should the company stop the production line? No, as the probability of seven having the correct shape is unusual Yes, as the probability of seven having the correct shape is unusual Yes, as the probability of seven having the correct shape is not unusual No, as the probability of seven having the correct shape is not unusual
Answer:
Step-by-step explanation:
This is a binomial probability distribution and the probability of success and value is the same for each trial.
Over time, the company has found that 89.4% of all their rugby balls have the correct shape. It means that the probability of success is
89.4/100 = 0.894
If exactly 7 of the 10 have the right shape, should the company stop the production line, it means that the probability of getting right shaped tires in this case is 7/10 = 0.7
This is actually below the known probability of success. Therefore, the correct option is
Yes, as the probability of seven having the correct shape is unusual
Graph y < x^2 - 3. please help
Answer:
Step-by-step explanation:
the shaded area is a solution.
Look at the graph below. Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3
Answer:
3
Step-by-step explanation:
The slope of the given line is [tex]\frac{2}{3}[/tex].
What is the slope of a line passing through two points?If a line passes through two points (x₁, y₁) and (x₂, y₂) respectively, then slope of the line is [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Here, the given line passes through points (0, 6) and (-9, 0).
Therefore, the slope of this line is (m)
[tex]= \frac{0 - 6}{-9 - 0}\\= \frac{6}{9} \\= \frac{2}{3}[/tex]
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Express the product of the following
binomials as a trinomial:
(x+5)(x+8)
Answer:
x^2+13x+40
Step-by-step explanation:
To solve this, use the FOIL method. Multiply the first terms, then the outside, then the inside and finally the last terms.
We have the binomials:
(x+5) and (x+8)
The first terms are x and x. The outside terms are x and 8. The inside terms are 5 and x. The last terms are 5 and 8.
Multiply these values.
F (first): x and x
x*x= x^2
O (outside): x and 8
x*8=8x
I (Inside): x and 5
x*5=5x
L ( Last): 5 and 8
5*8=40
Now, add all the products together.
x^2+8x+5x+40
Combine like terms. In this case, the like terms are 8x and 5x.
x^2+13x+40
The final trinomial (three terms) is: x^2+13x+40
simplify (3x+5)+(2x-9)-(4x+3)
Answer: X-7
Step-by-step explanation:
I put it into Tiger Algebra Calculator and that is what I got. Great tool btw I would recommend.
Answer:
3x+2x-4x+5-9+3
5x-4x+8-9
x-1
hope it helps
Suppose a car rental company charges $22.50 plus 10 cents per mile write a function rule that models this situation
Answer:
C(m) = 22.50 + .10m
Step-by-step explanation:
Cost = fee + mileage
Cost = 22.50 + .10m where m is the number of miles
C(m) = 22.50 + .10m
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
Up by 3 units, right by 9 units.
Step-by-step explanation:
The subtraction in (x-9)^2 makes the function shift to the right, adding would make it shift left! Adding numbers to the equation would make the function go up, and subtracting would make it go down. Hope this helps :)
PLeAse HELP me! WIll GIVE Brainliest!!
Write an equation of the circle with center (-2,3) and radius 5.
Answer:
The formula is: [tex](x+2)^2+(y-3)^2=25[/tex]
Step-by-step explanation:
Recall the formula for the equation of a circle with center at the point [tex](x_0,y_0)[/tex]of radius "R' as:
[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]
Therefore for your case, the formula becomes:
[tex](x-x_0)^2+(y-y_0)^2=R^2\\(x-(-2))^2+(y-3)^2=5^2\\(x+2)^2+(y-3)^2=25[/tex]
What is the length of the diagonal, d, of the rectangular prism shown below?
Answer:
The answer is 8.3
Step-by-step explanation:
(I'm not that good at explaining things so bear with me please. I checked on Khan Academy so it's right)
I split the box on the right diagonally and got the equation
[tex]4^{2}[/tex] + [tex]2^{2}[/tex] = [tex]x^{2}[/tex]
=16 + 4 =[tex]\sqrt{20}[/tex]
≈4.5
The new triangle will help solve what d is
[tex]4.5^{2}[/tex] + [tex]7^{2}[/tex] = [tex]d^{2}[/tex]
=20.25 +49 = [tex]\sqrt{69.25}[/tex]
≈8.3
The diagonal of the rectangular prism shown is 8.3.
What is diagonal?A polygonal is a closed, two-dimensional structure that is flat or plane and seems to have excellent dimensional.
A diagonal is a line segment that joins 2 opposing polygonal vertices.
In another word, a diagonal is an inclined line that connects two orthogonal lines to become a complete triangle.
Diagonal is the use for the idea of the length of sides, for example, if you want to measure the height of a tower knowing diagonal will surely help to do this.
Given a rectangular prism
Let x is the diagonal of the sides 7 and 4 then
By Pythagoras theorem
4² + 7² = x²
x² = 65
x=8.06
Now in the right-angle triangle of sides d,x and 2
d² = 65 + 4
D = √(69)
d = 8.30 hence, the correct answer is 8.30.
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What is the length of SA?
B
10 ft
s
1.89 ft
A.
O 2.43 ft
6.3 ft
9 ft
O 3 ft
O 7 ft
T
2.7 ft
С
Answer:
3ft
Step-by-step explanation:
The value of length of SA is,
⇒ SA = 3 feet
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We have to given that;
Triangle ABC is shown in figure.
Now, Observe the given figure,
Since, Line ST is parallel to the line AC.
Therefore, By Basic Proportionality Theorem which states
" If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion".
Hence, We get;
SB/SA = BT / TC
10 / SA = 9 / 2.7
SA = 2.7 × 10 / 9
SA = 3 feet
Thus, The value of length of SA is,
⇒ SA = 3 feet
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The truth table represents statements p, q, and r.
p q r p ∧ q p ∧ r
A T T T T T
B T T F T F
C T F T F T
D T F F F F
E F T T F F
F F T F F F
G F F T F F
H F F F F F
Which rows represent when (p ∧ q) ∨ (p ∧ r) is true?
A and B
A, B, and C
B and E
Answer:
A, B, and C
Step-by-step explanation:
EDGE unit test 2020
The rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C. Check more about Truth table below
What is a truth table?The truth table is known to be a table that depicts the real value of any kind of compound statement.
Note that for every truth-value of a statements there is a similar table depicting the value of the output for all of the value of all of the input and as such, rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C.
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The mean and standard deviation for the heights of men in the U.S. are 70 inches and 4 inches respectively and are normally distributed. Based on this information, which of the following represents the percent of men whose heights falls between 58 inches and 66 inches to the nearest whole percent?
A) 2%
B) 16%
C) 34%
D) 68%
Answer:
B) 16%
Step-by-step explanation:
First, we need to standardize 58 and 66 inches using the following equation:
[tex]z=\frac{x-m}{s}[/tex]
Where m is the mean and s is the standard deviation, so 58 and 66 are equivalent to:
[tex]z=\frac{58-70}{4}=-3\\z=\frac{66-70}{4}=-1\\[/tex]
Then, the percent of men whose heights falls between 58 inches and 66 inches is calculated as:
P(58<z<66) = P(-3<z<-1)
So, using the normal table, we get:
P(-3<z<-1) = P(z<-1) - P(z<-3)
P(-3<z<-1) = 0.1587 - 0.0013
P(-3<z<-1) = 0.1574
Finally, 0.1574 rounded to the nearest whole percent is equal to 16%
Need help with this!!
Answer:
the bottom one
Step-by-step explanation:
you can always _____ two similar triangles so that they become congruent.
Answer:
the answer is have to be equal.
Step-by-step explanation:
you can always equal two similar triangles so that they become congruent.
In the ratio of the length of their sides is equal to one, they are congruent. So, all congruent triangles have to be similar but all similar triangles need not be congruent......the ratio of corresponding sides,AB/A'B'=BC/B'C'=CA/C'A'. If the two triangles are congruent AB/A'B'=BC/B'C'=CA/C'A'=1
I am glad to help you!!!!
solve for k.
6(3k + 15) − 16k = 7k
k =
Answer:
k = 18
Step-by-step explanation:
6(3k + 15) − 16k = 7k
Distribute
18k +90 - 16k = 7k
Combine like terms
2k + 90 = 7k
Subtract 2k from each side
2k+90-2k = 7k -2k
90 = 5k
Divide by 5
90/5 = 5k/5
18 = k
Answer:
[tex]k = 18[/tex]
Step-by-step explanation:
[tex]6(3k + 15)- 16k = 7k \\ 18k + 90 - 16k = 7k \\ 18k - 16k - 7k = - 90 \\ - 5k = - 90 \\ \frac{ - 5k}{ - 5} = \frac{ - 90}{ - 5} \\ k = 18[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Is the graph a linear,nonlinear function,or relation
Answer:
Step-by-step explanation:
nonlinear ig?
help me solve this please .
Answer:
[tex]\boxed{\sf \ \ \ d=6 \ \ \ }[/tex]
Step-by-step explanation:
we know (thanks to Pythagoras) that
[tex]d = \sqrt{5^2+3^2}= \sqrt{25+9}= \sqrt{36}=6[/tex]
