The median of the trapezoid is = 17
calculation of the median of a trapezoidA trapezoid is a quadrilateral with one pair of opposite sides parallel. It has parallel sides which are known as the bases.
The base of the trapezoid(B1) =14
The base of the trapezoid (B2) = 20
To calculate the median = half the sum of the base of the trapezoid given.
Therefore,
14+20/2
34/2= 17
Therefore, the median of the trapezoid is = 17
Learn more about the trapezoid here:
https://brainly.com/question/1410008
Determine the simple interest earned p=$2000 r=4.6% T=4 years
Answer:
[tex]\boxed{\sf{I=368}}[/tex]Step-by-step explanation:
Use a simple interest formula.
Simple interest formula:
⇒ I=PrtP stands for principal R stands for interest rateT stands for interest time(P): Principal =$2000(R): Interest Rate =4.6%(T): Interest Time =4→ 2000*4.6%4
You have to convert 4.6% into a decimal form.
→ 4.6%=0.046
→ I=2000*0.046*4
Solve.
Multiply the numbers from left to right.
→ 2000*0.046*4=368
Therefore, the correct answer is 368.I hope this helps you! Let me know if my answer is wrong or not.
Suppose there are 20 equally-sized marbles in a bag. Six marbles are blue, seven red, three of them orange, three of them black, and one green. If you choose a red marble, you win nothing. Selecting a blue marble will win you 25 cents. Selecting an orange marble will win you 50 cents, selecting a black marble will cost you a dollar, and if you choose the green one, you win three dollars.
Answer:
i dont know what youre trying to answer but if your trying to answer how much money can you get if you get all of the marbles you get $9
just blue- $1.50
just orange- $1.50
just black- $3
just green- $3
red=$0
Find the area of the polygon.
Answer:
95 m
Step-by-step explanation:
you can split the shape into three pieces so it is 4x5, 4x5, and 11x5. Add the products for the area which is 95 m
1. The equation of a circle is x² + y² - 4x +2y-11-0. What are the center and the radius of the circle?
www
Show your work.
Answer:
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Circles,
so we get as,
centre as ==> ( -g, -f) ==> (2,-1)
Use a net to find the surface area of the cylinder. Use 3.14 for pie
Answer:
62.83
nearest tenth 62.8
Lilit and Sergio sold candles for a class trip. On the first day, Lilit sold 8 candles and Sergio sold 10 candles. For the next three days, both sold another 3 candles each day.PLEASE HELP
Answer:
Lilit- 17 candles
Sergio- 19 candles
Step-by-step explanation:
this is the most probable answer.
Ed Galaxy- Operations with whole numbers and decimals
Answer:
0.6
Step-by-step explanation:
1.0l-0.4l=0.6L
The original price is $125. The sale price is $81.25. How much was the discount as a percent?
Answer: 35%
Step-by-step explanation:
Start by subtracting the original price by the sale price.
125-81.25=43.75
Now divide that amount by the original price.
[tex]\frac{43.75}{125} =0.35[/tex]
Multiply that value by 100 for the answer
0.35×100=35
35%
Answer:
Discount Percent = 35.00 %
Step-by-step explanation:
125-81.25=43.75 actual discount
43.75/125 = 0.35 actual discount / original
0.35 as percentage = 35%
HELP PLEASEE!!!
A prism is filled with 25 cubes with 1/2-unit side lengths. What is the volume of the prism in cubic units?
Answer:
3.125 cubic unit i guess
Answer:
3.125 unit cube is the answer i hope i helped u
Find x.
Round to the nearest tenth:
31°
у
X
400 ft
x = [ ? ]ft
Answer:
x = 466.7 fty = 240.3 ftFirst find the inner angle:
90° - 31°59°using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]
[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]
[tex]\hookrightarrow \sf x = 466.6533[/tex]
[tex]\hookrightarrow \sf x = 466.7[/tex] ( rounded to nearest tenth )
====================================
using tan rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]
[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]
[tex]\hookrightarrow \sf y= 240.344[/tex]
[tex]\hookrightarrow \sf y= 240.3[/tex]
Answer:
y = 466.7 ft (nearest tenth)
Step-by-step explanation:
Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°
Using the cos trig ratio:
[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 31°A = 400 ftH = [tex]x[/tex]Substitute given values and solve for x:
[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]
[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]
[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]
Errin bought stock in XYZ Corporation for $100 per share. One month later the stock was up 10%. After another month the stock fell 10%. a. What was the price of the stock after the first month? b. What was the price of the stock after the second month?
Answer:
350 sum
Step-by-step explanation:
Find the axis of symmetry and the vertex of the graph of the function.
g(x) = 2x^2+12x+4
so hmmm from the equation we can see that is in "x terms" so the independent variable is "x", that tells us the parabola is a vertical one, leading term's coefficient is "2", that means it opens upwards like a bowl.
on a vertical parabola the axis of symmetry is the x-coordinate of its vertex, let's find the vertex of this one.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+4} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 12}{2(2)}~~~~ ,~~~~ 4-\cfrac{ (12)^2}{4(2)}\right)\implies \left( -3~~,~~4-\cfrac{144}{8} \right) \\\\\\ (-3~~,~~4-18)\implies (\stackrel{x}{-3}~~,~~-14)~\hfill \stackrel{\textit{axis of symmetry}}{x=-3}[/tex]
If you can help me with this please and thank you
Answer:
1) im not sure
2) im not sure
3) 72 degrees
Step-by-step explanation:
You took a test and got 12 points on it. The next week, you retook it and got 25% more points than before. How many points did you get when you retook it?
Answer:
15 points
Step-by-step explanation:
12 divied by .25 =3
so there for it would be 15 points
Answer:
The answer is 15 points. Have a great day:)
How do i Write (3x^3)^2 WITHOUT exponents
Answer:
(3x³)² = 9x⁶ = 3 × 3 × x × x × x × x × x × x
Thus, The answer is
3 × 3 × x × x × x × x × x × x
Answer:
3 * 3 * y * y * y * y * y * y
Step-by-step explanation:
(3y³)²
Multiply 3 by 3 and y six times
3 * 3 = 9
y * y * y * y * y * y
The answer should be
3 * 3 * y * y * y * y * y * y
I hope this helps!
Find the volume of the figure. If necessary, round your answer to the nearest tenth.
Answer choices
A: 441.6 cm^3
B: 883.2 cm^3
C: 147.2 cm^3
Answer:
A
Step-by-step explanation
math
1) A user must be at least 13 years old to set up a video-sharing account.
Let x be the age in years of a user who can set up an account.
Which inequality represents the situation?
Answer: x [tex]\geq[/tex] 13
Step-by-step explanation: quite simple actually, since the user must be AT LEAST 13 years old to set up the account, the equation would be X is greater than or equal to 13.
Hope this helps
help its for calculus
Answer:
maybe its e(1/y)
Answer:
it should be e(1/y)
Please Help Me ASAP.
Answer:
x > -10
Step-by-step explanation:
5 - 3x > 35
-5 -5
-3x > 30
[tex]\frac{-3x > 30}{-3}[/tex]= x > -10
Ralphie is taking a ten-question multiple choice test. Each question has five choices. If Ralphie answers a question
correctly, he earns one point; if he answers incorrectly, he loses half a point. Ralphie answers the first six questions
correctly, then guesses on the last four. What is the expected value of his test score? Round the answer to the nearest
whole percent.
Using the binomial distribution, it is found that the expected value of his test score is of 6.8.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, the parameters are given as follows:
For the first 6 questions, n = 6 and p = 1.For the last 4 questions, n = 4 and p = 1/5 = 0.2.Hence, the expected score is given by:
E(X) = 6 x 1 + 4 x 0.2 = 6.8.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Answer:
A.
Step-by-step explanation:
Paul bought 4 DVDs for $9.95 each. What was his total cost?
A.$39.90
B.$40.80
C.$39.80
D.$38.80
PLEASE HELP ME OUT AND PLEASE
Answer:
65⁰ because the opposite angles of parallelogram are equal...
probability pls hurry(13)
Answer:
A (3/16)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
The spinner is evenly divided and numbered from 1 through 8.
[tex]\sf \implies Probability\:of\:landing\:on\:any\:number= \dfrac18[/tex]
There are 4 even numbers (2, 4, 6 and 8)
[tex]\sf \implies Probability\:of\:landing\:on\:an\:even\:number= \dfrac48=\dfrac12[/tex]
There are 3 numbers less than 4 (1, 2 and 3)
[tex]\sf \implies Probability\:of\:landing\:on\:a\:number\:less\:than\:4=\dfrac38[/tex]
Therefore, the probability of landing of an even number and then on a number of less than 4 is:
[tex]\sf \implies Probability=\dfrac12 \times \dfrac38=\dfrac{3}{16}[/tex]
How much should you invest in an account that pays 6% annual interest compounded continuously if you want exactly $8000 after four years?
Answer:
$6239
Step-by-step explanation:
A(t) = P•e^rt
Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.
8, 000 = P•e^0.06•4
8, 000 = P•e^0.24
8, 000 = P•1.27
P = 6, 293
brainliest if right so who can get it right
Answer:
1. E: 20a - 18
2. D: 42
3. G: 17b + 3
4. I: 105
CODE: EDGI
Step-by-step explanation:
Question 1
Perimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Given:
width = 2a + 3length = 8a - 12Perimeter = 2(2a + 3) + 2(8a - 12)
= 4a + 6 + 16a - 24
= 20a - 18
Question 2
When a = 3
⇒ perimeter = 20(3) -18
= 60 - 18
= 42 centimeters
Question 3
The dashes on the side lengths mean those sides are equal in length.
⇒ perimeter = (7b - 2) + (7b - 2) + (3b + 7)
= 17b + 3
Question 4
When b = 6
⇒ perimeter = 17(6) + 3
= 102 + 3
= 105 meters
Simplify: 4/15+7/8-11/12
Answer:
[tex]\frac{9}{40}[/tex]
Step-by-step explanation:
LCD: 120
[tex]\frac{4}{15} +\frac{7}{8} -\frac{11}{12}[/tex]
[tex]\frac{32}{120} +\frac{105}{120} -\frac{110}{120}[/tex]
[tex]\frac{27}{120}[/tex]
[tex]\frac{9}{40}[/tex]
Hope this helps!
Answer:
9/40
hope this helps.
2x+5y < 19 and x-2y <-9
Solve the system of equation and graph it.
Answer:
see attached
Step-by-step explanation:
The boundary lines and solution region are shown on the attached graph. It is convenient to let a graphing calculator plot them.
__
If you'd like to plot the boundary lines by hand, it is useful to note the equations for them are in standard form:
ax +by = c
This means the slope is m = -a/b, and the y-intercept is c/b. Here, the odd constant values mean that (most) intercepts will involve fractions.
2x+5y<19slope: -2/5
y-intercept: 19/5 = 3.8
points on the line: (7, 1), (2, 3)
The general form ...
x < ( ) . . . . means the line is dashed and shading is to the left.
__
x-2y<-9slope: 1/2
y-intercept: 9/2 = 4.5
points on the line: (1, 5), (-3, 3)
The general form ...
x < ( ) . . . . means the line is dashed and shading is to the left.
__
Solution RegionThe lines have slopes of opposite signs, so cross in a fashion that forms an "X" on the graph. Shading is left of both lines, so will be in the left quadrant of the X. The boundary lines are not part of the solution region.
_____
Additional comments
The boundary line will be solid when the inequalitiy includes the "or equal to" case. This is identified by the symbols ≤ or ≥. Here, we have the symbol <, which does not include the "or equal to" case, so the boundary line is dashed. (The same would be true for an inequality using >.)
To determine shading direction, it is convenient to pick a variable with a positive coefficient, and look at its relation to the inequality symbol. In the first inequality, we could choose either of ...
x < ( ) . . . . . shading left of the dashed liney < ( ) . . . . . shading below the dashed line__
In the second inequality, the only variable with a positive coefficient is x, and its relation to the inequality symbol is ...
x < ( ) . . . . . shading left of the dashed lineIf we were to rewrite the second inequality to give the y-variable a positive coefficient, we could get either of ...
y > ( ) . . . . . multiply by -1/2( ) < y . . . . . add the opposite of the y-termEither way, the shading is above the dashed line.
__
About points on the line:
The inequalities have odd constants (19, -9) and coefficients with different parity (one even, one odd). That makes it convenient to choose an odd value for the variable with the odd coefficient. The result will be an integer value for the variable with the even coefficient.
(4x^2+9x-7)-(-7x^2+5x-1)
(4x
2
+9x−7)−(−7x
2
+5x−1)
Step-by-step explanation:
I think the expression is
(4x² + 9x - 7) - (-7x² + 5x - 1)
and that is the same as
4x² + 9x - 7 + 7x² - 5x + 1 =
= 11x² + 4x - 6
remember that the combination of two '-' signs turns this into one '+' sign.
to subtract a negative number is indeed the same as adding a positive number with the same absolute value.
Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i
29 i - 20
- 21 i
29
Multiple choice easy question. Please answer.
Answer:
I belive it should be # 3 i might be wrong thow.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Car one rotated 90 degrees counterclockwise would be to car 4
then, it rotated 180 degrees clockwise would be car 2.
the answer is Car 2