Answer:
A = 18.85ft^2114cm^2835.578 in^224o yd^2Step-by-step explanation: I hope it helps :)
1.
[tex]Surface\: area=\:2\pi rh+2\pi r^2\\h = 2ft\\diameter = 2ft\\Radius = d/2=2/2=1ft\\\\A=( 2\times 3.141\times1\times2)+(2\times 3.141 \times 1^2)\\A = (12.564)+(6.282)\\A = 18.846\\A = 18.85ft^2[/tex]
2.
[tex]Area \:of\: square = A=a^2\\A = 3^2\\A=9\\Area\:of \:one \:rectangle\: = (l\times b)\\ A = (8\times 3)\\A = 24cm^2\\\\A = 2(Area\: of\: square)+2(Area\: of \:rectangle)\\A = 2(9)+4(24)\\A = 18+96\\A =114cm^2[/tex]
3.
[tex]Area \: of\: base=?\\ r = 7\:in\\h = 12\:in\\A = \pi \times r^2\\A = 3.141 \times 7^2\\A = 153.909\\\\Height \: of \:the \:cylinder = 12\:inches\\Circumference = 2\pi \times r\\C= 2 \times 3.141 \times 7\\ C =43.98\\\\S.A= 2B+Ch\\S.A = 2(153.909)+43.98(12)\\S.A = 307.818+527.76\\S.A =835.578[/tex]
4.
[tex]Perimeter = a+b+c\\P = 10+8+6\\P = 24\\S.A =2B+Ph\\S.A = 2(24)+24(8)\\S.A =48+192\\S.A = 240\:yd^2[/tex]
PQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if
c= a + b.
Answer:
B
Step-by-step explanation:
The opposite sides of a parallelogram are parallel and congruent, thus
SR = PQ , that is
8a - 4 = 6a + 10 ( subtract 6a from both sides )
2a - 4 = 10 ( add 4 to both sides )
2a = 14 ( divide both sides by 2 )
a = 7
In a parallelogram consecutive angles are supplementary, thus
∠ P + ∠ Q = 180, that is
18b - 11 + 9b + 2 = 180, that is
27b - 9 = 180 ( add 9 to both sides )
27b = 189 ( divide both sides by 27 )
b = 7
Thus c = a + b = 7 + 7 = 14 → B
What the answer now question correct answer fast
v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth
Pease help me I was confused
Answer:
E, 13728
Step-by-step explanation:
You can set up a equation
x=(1-0.12)(15600)
This turns out to be 13728.
The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
O y = x + 2
Oy= 2x
Oy= 2
Answer:
y =2x
Step-by-step explanation:
Slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 2x+0
y = 2x
Answer:
Step-by-step explanation:
e
Some pupils from your school participate in sports games; precisely 2/31 participate in athletics and 1/9 in volleyball games. Knowing that there are a total of 98 participants, calculate how many pupils are not participating in sports games.
Answer:
The pupils who are not participating in sports games are 82
Step-by-step explanation:
According to the given data we have the following:
2/31 participate in athletics
1/9 in volleyball games
Total participants=98
Therefore, pupils participate in athletics= 98*2/31
pupils participate in athletics=6
pupils participate in volleyball games=98*1/9
pupils participate in volleyball games=10
Therefore, pupils are not participating in sports games=98-16
pupils are not participating in sports games=82
The pupils who are not participating in sports games are 82
A triangle has three sides of the following side lengths: 7, 10, and x^2. What are all of the positive integer values of x such that the triangle exists? Separate your answers using commas and express them in increasing order.
Answer:
x = {2,3,4} (if x can only be positive whole numbers)
Step-by-step explanation:
For a triangle exists, the side lengths of the triangle must be such that the sum of the two shorter sides must be greater than the third side.
This also is equivalent to any two sides must have a sum greater than the third side.
So
7+10 > x^2, => x^2 < 17 => x < sqrt(17) (maximum)
7+x^2 > 10, => x^2 >3 => x > sqrt(3)
Therefore
sqrt(3) < x < sqrt(17)
If x must be an integer,
2< x < 4, or x = {2,3,4}
Katie has 8 black marbles, 12 clear marbles, and 14 blue marbles in a bag. If she picks one at random, what is the probability that she will pick a black marble? (Enter your answer as a fraction in its reduced form.) a 4/17 b 7/34 c 6/17 d 12/34
Answer:
a 4/17
Step-by-step explanation:
if you add them all up, you get 34. 8 out of 34 reduced is 4/17
Answer:
4/17
Step-by-step explanation:
8 black marbles, 12 clear marbles, and 14 blue marbles = 34 marbles
P( black) = number of black/ total
= 8/34
=4/17
Pls ASAP help me with number 14
Answer:
D. 19
Step-by-step explanation:
because they are parallel bases you can compare
63/57 = 21/x
x = 19
Answer: D. 19
Let x by the length of CG. Since the two bases are parallel, we can create the following equation using proportions:
[tex]\dfrac{63}{21}=\dfrac{57}{x}[/tex]
Simplify left side of equation
[tex]3=\dfrac{57}{x}[/tex]
Multiply both sides by x
[tex]3x=57[/tex]
Divide both sides by 3
[tex]x=19[/tex]
Let me know if you need any clarifications, thanks!
The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is having a contest to see which goalie can block the most number of penalty kicks. For each penalty kick, a goalie stands in the net while the rest of the team (including other goalies) takes a shot on goal, one at a time, attempting to place the ball in the net. How many penalty kicks must be taken to ensure that everyone has gone up against each of the goalies?
Answer:
57
Step-by-step explanation:
Subtract one player from the total number, because one has to block.
19
Multiply this by the number of goalies there are.
19*3=57
There will be 57 kicks.
Determine the sum of the first ten terms of the geometric series -1 + 2 - 4 + 8 + ...
Answer:
-1+2-4+8-10+12-14+16-18+20
=
-47+68
= +21
hope youlike this
stay at home stay safe
keep rocking
I need a. Correct answer I’ll mark brainliest
Answer:
7^11 / 4^11
Step-by-step explanation:
( 7/4) ^ 11
We know that ( a/b) ^c = a^c / b^c
7^11 / 4^11
Answer: B. [tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]
Step-by-step explanation:
There is exponent rule that states [tex](\frac{a}{b})^{x} = \frac{a^x}{b^x}[/tex]
So we can apply this rule to this problem.
[tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]
Angle G is a circumscribed angle of circle E. Circle E is shown. Line segments F E and D E are radii. A line is drawn to connect points F and D. Tangents F G and D G intersect at point G outside of the circle. Angles E B D and F D E have measures of x degrees. What is the measure of angle G, in terms of x? x° + x° x° + 90° 180° – x° 180° – 2x°
Answer:
X+X
Step-by-step explanation:
did it on edg
Answer:
x° + x°
Step-by-step explanation:
Edge 2020
Jason is playing a trivia game with his friends. At the end of each round, his score updates to the square of 1 less than the previous round’s score. If he has 8 points in the first round, which of the following recursive formulas can be used to determine his score at the end of future rounds? Assume that the number of rounds is unlimited, and n is the number of rounds.
Answer:
8+n^2
Step-by-step explanation:
Answer:
f(n+1)=(f[n]-1)^2, where f(1)=8
Step-by-step explanation:
"it appears your explanation includes a link" so you don't get an explanation
if x to the power of 2 = 10 what is the value of x?
Answer:
x² = 10
x = ±√10 (Take the square root of both sides)
rotate the triangle below: A(5,3) B(8,10) C(11,3) angle of rotation is 180 centre origin direction is anti- clock wise
Answer:
see explanation
Step-by-step explanation:
Under a rotation ( clockwise or anticlockwise ) about the origin of 180°
a point (x, y ) → (- y, - x ), thus
A(5, 3 ) → A'(- 3, - 5 )
B(8, 10 ) → B'(- 10, - 8 )
C(11, 3 ) → C'(- 3, - 11 )
Please Help ME!! I BEG YALL! Ill give BrAINlIeSt! :) Given the figure below, find the values of x and z.
Answer: [tex]\left \{ {{x=10} \atop {z=63}} \right.[/tex]
Step-by-step explanation:
Vertical Angles states that 9x+27=117
Supplementary Angles states that 117+z=180
[tex]9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right][/tex]
Hope it helps <3
Trigonometry.....Help plzzzz
Answer:
17.3 = AC
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan B = opp/ adj
Tan 68 = AC / 7
7 tan 68 = AC
17.32560797 = AC
To 1 decimal place
17.3 = AC
Answer:
AC = 17. 3 cmStep-by-step explanation:
To find AC we use tan
tan ∅ = opposite / adjacent
From the question
AB is the adjacent
AC is the opposite
So we have
tan 68 = AC / AB
AC = AB tan 68
AC = 7 tan 68
AC = 17.32
AC = 17. 3 cm to one decimal place
Hope this helps you
is 4,8,10 pithogoreon triplet
Answer: No
Step-by-step explanation:
No, because 4^2 is 16, 8^2 is 64, 10^2 is 100 and 16+64 = 80 and 80≠100
Which represents the solution to 7x > 21 or 6x - 9 < 21?
Answer:
1) The correct option is the third line
2) The correct option is the third line please see attached graph
Step-by-step explanation:
For the system of inequalities,
7·x > 21 or 6·x -9 < 21 we have;
7·x > 21
x > 21/3 = 3
x > 3
Also we have for 6·x -9 < 21 we have;
6·x -9 < 21
6·x < 21 + 9
6·x < 30
x < 30/6 = 5
x < 5
The representation of the region x > 3 and the region x < 5 on the number line consists of indicating points 3 and 5 with circles not filled to represent less than < and not less than or equal to ≤ and shading the potion of the number line in between the two points
Which gives the correct option as the third line which has an open circle at point 3 and 5
b) To graph the inequality v + 4 > 2 and 8·v - 20 ≤ 36
For the inequality v + 4 > 2, we have;
v > 2 - 4
v > - 2
For the inequality 8·v - 20 ≤ 36, we have;
8·v - 20 ≤ 36
8·v ≤ 36 + 20
8·v ≤ 56
v ≤ 56/8
v ≤ 7
The region representing v > -2 or v ≤ 7 on the number line consists of indicating points -2 with a circle (not filled) to represent less than < and point 7 with a filled circle to represent less than or equal to ≤ and shading the potion of the number line in between the two points
Which gives the correct option is the third line which has a closed circle at point -2 and an open circle at point 7
Simplify.
a3 x a9 over a4
PLEASE HELP!!! ASAP!!!
Answer:
[tex]\frac{\left(a^3\right)\left(a^9\right)}{a^4}=a^8[/tex]
Step-by-step explanation:
[tex]\frac{\left(a^3\right)\left(a^9\right)}{a^4}\\\\= \frac{a^3a^9}{a^4}\\\\=a^3a^9\\\\=a^{3+9}\\\\=a^{12}\\\\=a^{12-4}\\=a^8[/tex]
Answer:
a⁸
Step-by-step explanation:
a³*a⁹/a⁴
Product law:Says that if the base of the number being multiplied is the same, then we can add the exponents
Therefore
a to the power of 3+9/a⁴
a¹²/a⁴
Quotient law:Says that when we divide two numbers with the same base,we can subtract the exponents
Therefore
a to the power of 12-4
a⁸
Please answer this in two minutes
Answer:
469.4ft²
Step-by-step explanation:
We have ∆ WXY in the above question,
From which we have obtained the following values
Angle W = 27°
Angle X = ?
Angle Y = 40°
Side w =?
Side x = ?
Side y = 38ft
Area of the triangle= ?
Step 1
We find Angle X
We know that the Sum of angles in a triangle = 180°
In the question above, we are given 2 angles
Hence,
Angle X = 180 - ( Angle W + Angle Y)
= 180° - (27 + 40)°
= 180° - 67°
Angle X = 113°
Step 2
Find the sides w and x
We find these sides using the Rule of sines
Rule of Sines =
a/ sin A = b/ Sin B = c/Sin C
Hence for triangle WXY
w/ sin W = x/ sin X = y/ sin Y
We have the following values
Angle W = 27°
Angle X = 113°
Angle Y = 40°
We are given side y = 38ft
Determining side w
w/ sin W= y/ sin Y
w/sin 27 = 38/sin 40
Cross Multiply
sin 27 × 38 = w × sin 40
w = sin 27 × 38/sin 40
w = 26.83879ft
w = 26.84ft
Determining side x
w/ sin W = x/ sin X
26.84/ sin 27 = x/sin 113
Cross Multiply
sin 113 × 26.84 = x × sin 27
x = sin 113 × 26.84/sin 27
x = 54.42041ft
x = 54.42ft
To find the area of triangle WXY
We apply the use of heron formula
= √s(s - w) (s - x) (s - y)
Where S = w + x + y/ 2
s = (38 + 26.84 + 54.42)/2
s = 59.63
Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)
Area of the triangle = √ 220343.61423
Area of the triangle = 469.40772706541ft²
Hence, Approximately to the nearest tenth =469.4yd²
please Linear system fill in the blanks please help 55 point * please please please help
Answer:
a) Vertex b) Maximum c) Axis of symmetry d) Linear e) x-intercept f) Parabola g) Minimum h) Quadratic i) Down
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
d) The first difference of a quadratic sequence will be a linear sequence.
h) The second difference of a quadratic will be constant.
i) image attached
what is the quotient of 1 and 2/3 divided by 4/5
Answer:
2 and 1/12
Step-by-step explanation:
1 and 2/3 = 5/3.
when dividing fractions, invert and multiply.
5/3x5/4=25/12
=2 and 1/12
Answer:
The quotient is:
2 and 1/12
Step-by-step explanation:
1 and 2/3 = 1 + 2/3
1 = 3/3
1 + 2/3 = 3/3 + 2/3 = (3+2)/3 = 5/3
1 and 2/3 divided by 4/5 is:
(5/3) / (4/5) = (5*5) / (3*4) = 25/12
25/12 = 24/12 + 1/12 = 2 + 1/12 = 2 1/12 = 2 and 1/12
Please answer this in two minutes
Answer:
Hey there!
S would be 2 times 7, or 14.
Hope this helps :)
Answer:
14
Step-by-step explanation:
This is a 30-60-90 triangle, so the sides corresponding are x, 2x, and xsqrt3. the side, s, that we want is the 2x, and the x is 7. So, s is 14.
Three candidates were running for president of a student council. Altogether, 1524 students cast a vote in the election. The second place candidate had 140 votes less than the winner, but 395 votes more than the last place candidate. What percentage of all the votes cast were received by the winner? (Round your answer to the nearest percent).
Answer:
48%
Step-by-step explanation:
The total number of votes casted = 1524 votes = 100%
Let a = votes of first place candidate
b = votes of second place candidate
c = votes of third place candidate
The second place candidate had 140 votes less than the winner
b = a - 140 votes...... Equation 1
Hence,
a = b + 140.......... Equation 2
Second place candidate has 395 votes more than the last place candidate
b = c + 395.......Equation 3
Hence,
c = b - 395......Equation 4
a + b + c = 1524 votes....... Equation 5
If a = b + 140 and c = b - 395
The number of votes by b(second place candidate ) =
b + 140 + b + b - 395 = 1524 votes
3b = 1524 + 395 - 140
3b = 1779
b = 1779/3
b = 593 votes.
Therefore, the second place candidate had 593 votes.
Now we can calculate how many votes, the other candidates had.
The second place candidate had 140 votes less than the winner
Votes for the winner( first place candidate)
b = a - 140 votes...... Equation 1
Hence,
a = b + 140.......... Equation 2
Since b = 593
a = 593 + 140
a = 733 votes
Votes for the last place candidate
Since, Second place candidate has 395 votes more than the last place candidate
b = c + 395.......Equation 3
Hence,
c = b - 395......Equation 4
b = 593
c = 593 - 395
c = 198
From the above calculation,
a = votes of first place (winner) candidate = 733
b = votes of second place candidate = 593
c = votes of third(last) place candidate = 198
In the above question, we were asked to calculate the percentage of all the votes cast were received by the winner.
This is calculated as
= Voted received by winner/ Total number of votes casted × 100
= 733/1524 × 100
= 48.09711286%
Approximately to the nearest percent = 48%
Therefore, the percentage of all the votes cast were received by the winner = 48%
As part of their fundraising for Right To Play, the student council is having a fun-fair at lunch in the schoolyard. You will be running three events at different locations: a basketball foul-shot contest, a mini-putt course, and a dunk-tank. Your job is to locate the ticket booth so that it will be the same distance from each of the events. Describe the process you would use to determine the position of the ticket booth. Create a GeoGebra design that supports your decision.
Answer: see below
Step-by-step explanation:
I used a coordinate graph and placed the Ticket Booth at the origin (0, 0)
Then I chose a distance of 4 (you can choose any distance) and placed the three events equidistant from the origin by using the x- and y- axis to easily determine a distance of 4 from the origin.
(0 - 4, 0) = (-4, 0)
(0 + 4, 0) = (4, 0)
(0, 0 + 4) = (0, 4)
If the booths are placed first you would need to find the equation of a circle that contains all three points and place the booth at the center.
You do this by creating a system of three equations inputting the x,y coordinates of each booth and solving for h, k, r.
Equation of a circle is: (x - h)² + (y - k)² = r²
Complete the inequality with >, <,>,<,is greater than, comma, is less than, comma or ==equals. 2^52 5 2, start superscript, 5, end superscript 5^25 2 5, squared
Answer:
[tex]2^5 > 5^2[/tex]
Step-by-step explanation:
Given the expression [tex]2^5 \ 5^2[/tex], we are to complete the inequality by inserting the correct inequality signs in between the values.
Before we do that, we must know the value of each indicinal expressions.
[tex]2^5 = 2*2*2*2*2\\\\2^5 = 4*4*2\\\\2^5 = 16*2\\\\2^5 = 32[/tex]
Also,
[tex]5^{2} = 5*5\\\\5^2 = 25[/tex]
From the values gotten, we can clearly see that 32 is greater than 25. This means that 2⁵ is greater than 5². Hence the inequality sign that will complete the expression is a greater than sign (>).
The inequality will be [tex]2^5 > 5^2[/tex]
Answer:
its this
over here...
On the coordinate plane below, Point P, is located at (2,-3) and point Q is located at (-4,4). Find the distance between points, P and Q
Answer:
[tex]d = \sqrt{85}[/tex] or d ≈ 9.22
Step-by-step explanation:
Distance formula:
[tex]d = \sqrt{(2 - (-4))^2 + (-3- 4)^2} \\d = \sqrt{36+ 49}\\d = \sqrt{85} \\[/tex]
(ANSWER ASAP) The table represents the multiplication of two binomials. What is the value of A?
-3x
-3x2
-5x
-5x2
By observing the table it can be concluded that the value of A must be equal to 3x × (-x)
So, the value will be -3x^2
Answer:
B on EDG
Step-by-step explanation:
Find arc length. (Ignore the pencil mark, NEED ASAP)
Answer:
15.7 yd
Step-by-step explanation:
Arc length is given as 2πr(θ/360).
Where,
Radius (r) = 10 yd,
Measure of arc (θ) = 90°
π = 3.142
Arc length = 2*3.142*10(90/360)
Arc length = 62.84(¼)
Arc length = 62.84/4
Arc length = 15.71 yd
The act length is approximately 15.7 (to the nearest tenth)