Answer:
So what are you asking me to do
Answer:
A.
Step-by-step explanation:
find the height of a right cylinder with surface area 160pie square units and radius 5 units
Given:
Radius of a cylinder = 5 units.
Surface area of the cylinder = [tex]160\pi[/tex]
To find:
The height of the right cylinder.
Solution:
Surface area of a cylinder is:
[tex]A=2\pi rh+2\pi r^2[/tex]
Where, r is radius and h is the height of the cylinder.
Putting [tex]r=5, A=160\pi[/tex] in the above formula, we get
[tex]160\pi =2\pi (5)(h)+2\pi (5)^2[/tex]
[tex]160\pi =10\pi h+2\pi (25)[/tex]
[tex]160\pi =10\pi h+50\pi [/tex]
Subtract [tex]50\pi[/tex] from both sides.
[tex]160\pi -50\pi=10\pi h [/tex]
[tex]110\pi=10\pi h [/tex]
Divide both sides by [tex]10\pi[/tex].
[tex]\dfrac{110\pi}{10\pi}=h[/tex]
[tex]11=h[/tex]
Therefore, the height of the cylinder is 11 units.
Evaluate expressions- if r=45 and t=9 what is the value of the following expression?
A.36
B.75
C.80
D.66
Answer:
[tex]d. \: \: 66[/tex]
Step-by-step explanation:
[tex]r + 63 \div t \times 3[/tex]
[tex]45+63÷9 \times 3[/tex]
[tex]45+7 \times 3[/tex]
[tex]45 + 21[/tex]
[tex]66[/tex]
Hope it is helpful...please help me and thank you.
Answer:
[tex]482.5\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.
Area of the rectangle: [tex]25\cdot 20=500\:\mathrm{in^2}[/tex]
Area of the triangle: [tex]\frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}[/tex]
Thus, the area of the figure is [tex]500-17.5=\boxed{482.5\:\mathrm{in^2}}[/tex]
I need help with this problem pls help!
Solve the following system of equations by substitution. PLEASE HELP!
Answer:
(1,-1)
Step-by-step explanation:
y = -1
5x+7y = -2
Substitute the first equation into the second
5x + 7(-1) =-2
5x -7 = -2
Add 7 to each side
5x-7+7 = -2+7
5x= 5
Divide by 5
5x/5 = 5/5
x =1
(1,-1)
THIRD TIME ASKING FOR HELP PLEASE HELP ME!!!!!!!!!!!!!!!!!!!
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB=3 and AD=1, what is the length of AC?
========================================================
Explanation:
For now, focus on triangle ABD. This is a right triangle due to BD being an altitude.
Use the pythagorean theorem to find that...
(AD)^2 + (BD)^2 = (AB)^2
(1)^2 + (BD)^2 = (3)^2
1 + (BD)^2 = 9
(BD)^2 = 9-1
(BD)^2 = 8
Normally we would isolate BD itself, but I'll stop short and use that last line instead.
------------------
The triangles ABD and BCD are similar triangles (we can prove this using the AA similarity theorem).
Since we have similar triangles, we can form the proportion shown below
AD/BD = BD/CD
This cross multiplies to
AD*CD = (BD)^2
We know that AD = 1 and (BD)^2 = 8, so,
AD*CD = (BD)^2
1*CD = 8
CD = 8
This then means,
x = CD+DA
x = 8+1
x = 9
AC is 9 units long.
80 POINTS HURRY ILL GIVE BRANLIEIST!!!
A landscape architect built a square playground. The outside edges of the playground measure 3x meters. The playground has an area of 8100 m^2. How much fencing is needed to fully enclose the playground?
Answer:
360 meters
Step-by-step explanation:
[tex]\sqrt{8100}[/tex] = 90
one edge = 90 meters
90 x 4 = 360
360 meters
Help plzzz..........
Answer:
39
Step-by-step explanation:
Given that ABCD is a rhombus, what is the value of x?
Answer:20.75
Step-by-step explanation:
Trust me gangsta
helppppppppppppppppppppppp
Answer:
gotta be answer A
Step-by-step explanation:
you can search up f(x) = square root of x
Decide whether the triangles are similar. If they are, write a similarity statement and state the reason justifying the similarity.
If necessary, you may learn what the markings on a figure indicate.
PLS HELP ASAP
Answer:
Step-by-step explanation:
Triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.
[tex]\lim_{h \to \116} x-16/\sqrt{x} -4[/tex]
What is the limit?
Answer:
[tex] \displaystyle 8[/tex]
Step-by-step explanation:
we would like to compute the following limit
[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) [/tex]
if we substitute 16 directly we'd end up
[tex] \displaystyle = \frac{16 - 16}{ \sqrt{16} - 4} [/tex]
[tex] \displaystyle = \frac{0}{ 0} [/tex]
which isn't a good answer now notice that we have a square root on the denominator so we can rationalise the denominator to do so multiply the expression by √x+4/√x+4 which yields:
[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \times \frac{ \sqrt{x} + 4 }{ \sqrt{x} + 4 } \right) [/tex]
simplify which yields:
[tex] \displaystyle \lim_{x \to 16} \left( \frac{(x - 16)( \sqrt{x} + 4)}{ x - 16} \right) [/tex]
we can reduce fraction so that yields:
[tex] \displaystyle \lim_{x \to 16} \left( \frac{ \cancel{(x - 16)}( \sqrt{x} + 4)}{ \cancel{x - 16} } \right) [/tex]
[tex] \displaystyle \lim _{x \to 16} \left( \sqrt{x } + 4\right) [/tex]
now it's safe enough to substitute 16 thus
substitute:
[tex] \displaystyle = \sqrt{16} + 4[/tex]
simplify square root:
[tex] \displaystyle = 4 + 4[/tex]
simplify addition:
[tex] \displaystyle = 8[/tex]
hence,
[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) = 8[/tex]
Answer fast again important
Answer: 17 square inches.
Step-by-step explanation: Area of a triangle is 1/2 x b x h. We can just take the area of half of the whole triangle, and double it. In this case, half of the triangle has an area of 1/2 x 3.4 x 5 = 8.5. Doubling it is the same is doing 8.5 x 2, which equals 17.
Encuentra la factorizacion
What is the name of the point located at (4, 3)?
A. Point M
B. Point P
C. Point W
D. Point X
Answer:
Point X
Step-by-step explanation:
Okay so to find the answer to this one simply go to the origin (0,0), then go over 4 and then up 3
The point located at point (4,3) would be point X
Please dont put any files or links. answer each equation please.
Answer:
23 thousandths. = 23 ÷ 10^3
9+4 × (6÷3) > (9+4×6) ÷ 3
5 tens + 2 hundredths. < 50.20
810.6 ÷ 10. = 8.106 × 10
can someone please help me with question 1? I will give brainliest to first answer! Thank you so much! I really appreciate anyone who helps
Answer:
49 in the first box and 7 in the second one
25 in the 3rd box and 5 in the 4th
10 Y What is the vertical change from Point A to Point B? 9 8 What is the horizontal change from Point A to Point B? 7 6 What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary 5 4 3 3 B 2 A 1 X 1 . 2 3 4 5 6 7 8 9 10
Answer:
0.5
Step-by-step explanation:
From the graph given ;
The vertical distance ; y - axis :
(y2 - y1) ; y2 = 2 ; y1 = 1
y2 - y1 = 2 - 1 = 1
The horizontal distance ; the x - axis :
(x2 - x1) ; x2 = 4 ; x1 = 2
x2 - x1 = 4 - 2 = 2
The slope ; the rate of change :
Change in y / change in x
The rate of change ;
(y2 - y1) / (x2 - x1) = 1 / 2
gabby volunteers at an animal shelter. Last month she volunteered 1 3/4 hours on each of 3 Saturday. She also volunteered 3/4 hour on 4 Wednesday evenings. How many hours of volunteer work did Gabby put in last month.
Answer:
8 1/4 hoursStep-by-step explanation:
Total hours:
3(1 3/4) + 4(3/4) = 3 + 3*3/4 + 3 = 6 + 9/4 = 6 + 2 1/4 = 8 1/4 hours1) Find 5 points on the line y = 3/5 x - 4 by picking 5 x values, plugging in, and getting 5 y values. You must pick x
values that result in INTEGER values for y. Show every step of the process, working vertically.
2) Graph the line from problem 1. You must use a straightedge on axes and line. Each line on the graph paper is one
unit. Put arrowheads on the line. Do NOT put numbers or hash marks on your graph. Show your 5 points clearly
3) Using the formula and working vertically, firid the slope between the points (-2,5) and (6,-7).
4) Identify the slope and y-intercept of the line y = -4/3 x + 4
5) Graph the line from problem #4 by plotting the y-intercept, and then using the slope to get a second point. All rules
from problem 2 apply here as well.
Find the area of the rhombus.
48 cm2
14 cm2
96 cm2
24 cm2
Answer:
96 cm^2
Step-by-step explanation:
the diagonal bisect in the point of intersection, so their length is 12 cm and 16 cm
Area = (12 * 16)/2 = 96 cm^2
Answer:
24 cm^2
Step-by-step explanation:
rhombus -.-
Determine the area of a parallelogram if
its base is 16 cm and its height is 7 cm.
=====================================
Work Shown:
area = base*height
area = 16*7
area = 112 square cm
----------------
Extra info (optional section):
The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.
Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.
Which expression is equivalent to ((4^(5/4)x4^(1/4))/4^1/2)^1/2
?
^16sqrt4^5
Sqrt2^5
2
4
Answer:
2
Step-by-step explanation:
add 5/4 and 1/4 to get 6/4 or 3/2
(4^3/2 ÷ 4^1/2)^1/2 = 4^3/4 ÷ 4^1/4
4^3/4 ÷ 4^1/4 = 4^2/4 or 4^1/2
4^1/2 is the square root of 4, which is 2
Answer:
2
Step-by-step explanation:
In first step use the product rule of exponents .
so exponents going to add up.
Then in the second step simplified exponents.
After that Its division rule of exponents. and according to division to the exponents get subtracted.
In the end he would be left with four to the power half. which means square root of 4. which is 2.
Would appreciate any assistance
Answer:
The answer is 37
Step-by-step explanatio
Can someone please help with this ? Thanks
Jack had 3bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jack have now?
Answer:
3(b+2)balls
Step-by-step explanation:
Given data
number of bags of golf balls= 3
number of balls in each bag=b
total number of balls in all three bags= 3b
His friend gave him 6 more= 3b+6
Hence the total balls is = 3b+6
= 3(b+2)balls
The angles of a triangle measure 50°, 62°, and x. Find the value of x.
A scale drawing of a school playground in the shape of a rectangle is shown. What is the area in square meters of the playground
Answer:
b
Step-by-step explanation:
8×19= 152
1 : 4.5
152×4.5=684
which graph is a function of x?
Answer:the one to the left
Step-by-step explanation:
Our school is selling t-shirts and sweatshirts as a fundraiser . One student buys 2 t-shirts and 2 sweatshirts for $26 . Another student buys 1 t-shirt and 3 sweatshirts for $33 . This situation can be modeled by the system of equations below .
Answer:
The value of each T-shirt is $ 3 and the value of each sweatshirt is $ 10.
Step-by-step explanation:
Given that our school is selling T-shirts and sweatshirts as a fundraiser, and one student buys 2 Tt-shirts and 2 sweatshirts for $ 26, while another student buys 1 T-shirt and 3 sweatshirts for $ 33, to determine the value of the T-shirts and sweatshirts the following calculation must be made:
2X + 2Y = 26
X + 3Y = 33
Y - X = 7
2 x 3 + 2 x 10 = X
6 + 20 = X
26 = X
Therefore, the value of each T-shirt is $ 3 and the value of each sweatshirt is $ 10.