Answer:
x ≈ 2.65(nearest hundredth)
Step-by-step explanation:
Base on your question the triangle is a right angle triangle. This means the triangle should obey the Pythagoras theorem.
Pythagoras theorem says
c² = a² + b²
where
c = hypotenuse of the triangle
a and b are called the legs of the triangle.
The hypotenuse is the longest side of the triangle.
Recall your question says the unknown side x is one of the legs of the triangle. That means the other legs will definitely be 3 since the hypotenuse should be the longest side of the triangle which is 4.
Using Pythagoras theorem
4² = 3² + x²
16 - 9 = x²
7 = x²
square root both sides
x = √7
x = 2.64575131106
x ≈ 2.65(nearest hundredth)
Proving the Parallelogram Side Theorem
The proofing that ABCD is a parallelogram can be done through the parallelogram side theorem.
What is the parallelogram side theorem?It should be noted that the parallelogram side theorem simply means that the opposite sides of a parallelogram are equal and also parallel to each other.
Here, BCA and DAC are alternate interior angles. Also, AC denotes the reflexive property. Therefore, BC is the same as DA as they're equal.
Learn more about parallelogram on:
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In a math class with 28 students, a test was given the same day that an assignment
was due. There were 18 students who passed the test and 23 students who completed
the assignment. There were 16 students who passed the test and also completed the
assignment. What is the probability that a student who passed the test did not
complete the homework?
Answer:
Probability that a student who passed the test did not complete the homework = 0.07
Step-by-step explanation:
Given:
Total number of students = 28
Number of students who passed the test = 18
Number of students who completed the assignment = 23
Number of students who passed the test and also completed the assignment = 16
To find: probability that a student who passed the test did not complete the homework
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favorable outcomes/total number of outcomes
Let A denotes the event that students passed the test and B denotes the event that students completed the assignment
P(A only) = [tex]P(A)-P(A\cap B)[/tex]
Here,
[tex]P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}[/tex]
So,
[tex]P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07[/tex]
Therefore,
probability that a student who passed the test did not complete the homework = 0.07
Answer:
2/9
Step-by-step explanation:
Hold do I solve this
Answer:
(x,y) -> (-y,x)
Step-by-step explanation:
You get the coordinates of the image provided and apply them to the rule so...
(-3,1) to (-1,-3)
(-2,-4) to (-4,2)
(-4,-4) to (4,-4)
Then, connect the points.
PLZ MARK BRAINLIEST!!!
Please help!
You spin the spinner twice.
What is the probability of landing on a 4 and then landing on a 4?
Simplify your answer and write it as a fraction or whole number.
Answer: 1/16
Step-by-step explanation: It's important to understand that the two spins are called independent events because the outcome of the first spin does not affect the outcome of the second spin.
To find the probability of independent events, we first find the probability of each event, then we multiply the probabilities together.
Since there is one 4 on the spinner and four possible outcomes, each of which is equally likely, the probability of spinning a 4 is 1/4.
This mens that 1/4 is the probability of
getting a 4 on the second spin too.
Now we multiply.
1/4 x 1/4 gives us 1/16.
So the probability of spinning a 4 twice is 1/16.
Jim currently has $1,250 in his bank account and Sally has $1,400 in her bank account. Jim deposits $27.50 per week and Sally deposits $20 per week into her account. After how many weeks will they have the same amount of money? Jim and Sally will have the same amount of money after nothing week(s). (Type an integer or a decimal.)
Answer:
20 weeks.
Step-by-step explanation:
The equations of money deposits of each bankholder as a function of time are, respectively:
Jim
[tex]p_{1} = 1250 + 27.50\cdot t\\[/tex]
Sally
[tex]p_{2} = 1400 +20\cdot t[/tex]
The number of weeks so that both have the same amount of money is:
[tex]1250 + 27.50\cdot t = 1400 + 20\cdot t[/tex]
[tex]7.50\cdot t = 150[/tex]
[tex]t = 20[/tex]
40$ to the markup rate of 65% what is the final price?
Answer:
$66
Step-by-step explanation:
that's the answer I thinkkkk
3x=4 How do I solve for X?
Answer:
x=4/3
Step-by-step explanation:
transpose 3 to the lhs
hope this helps
plzz mark me brainliest
9/10
of alien races think invading Earth is a bad idea.
What percent of alien races think invading Earth is a bad idea?
Answer: 90%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 9/10 as a percent, we need to find a fraction
equivalent to 9/10 that has a 100 in the denominator.
We can do this by setting up a proportion.
So we have [tex]\frac{9}{10} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (9)(100) which is 900 is equal to (10)(n) or 10n.
So we have 900 = 10n.
Next, dividing both sides of the equation by 10, we have 90 = n.
So, 9/10 is equal to 90/100 or 90%.
Answer:
90%
Step-by-step explanation:
9/10 times 100 is 90%
I also got it right in Khan. Good luck! Have a nice day :)
PLEASE HELP!! this is due today! I will mark the brainliest!
A, B, C or D
(Graph and question are attached)
Answer:
the answer is C
Step-by-step explanation:
Please help me... The question is in the picture
Answer:
1/12 ( -x -4 )
Step-by-step explanation:
1/12 ( -x - 4 )
1/12(-x) = -1/12x Multiply 1/12 and -x to get -1/12x.
1/12 x -4 = -1/3 Multiply 1/12 and -4 to get -1/3.
So, therefore, the expression 1/12 ( -x - 4 ) is equivalent to -1/12x - 1/3.
One week, Lucy earned $234.00 at her job when she worked for 13 hours. If she is
paid the same hourly wage, how many hours would she have to work the next week to
earn $108.00?
Answer: 6 hours
Step-by-step explanation:divide 234 by 13 234/13 you get
18 divide 108 by 18 and then you get
6
If 5,x,y,40 are in geometrical progression, find x and y respectively.
Answer:
x = 10, y = 20
Step-by-step explanation:
Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.
z³ = 8 → z = 2
Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!
Graph the circle (2x - 3)2 + (y + 3)2 =36
Answer: 9 on the x axis and 18 on the y axis
Answer:
[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:\:\mathrm{semi-major\:axis}\:b=6,\:\:\mathrm{semi-minor\:axis}\:a=3[/tex]
Step-by-step explanation:
[tex]\left(2x-3\right)^2+\left(y+3\right)^2=36\\\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1\:\mathrm{is\:the\:ellipse\:standard\:equation}\\\mathrm{with\:center}\:\left(h,\:k\right)\:\mathrm{and\:}a,\:b\mathrm{\:are\:the\:semi-major\:and\:semi-minor\:axes}\\\mathrm{Rewrite}\:\left(2x-3\right)^2+\left(y+3\right)^2=36\:\mathrm{in\:the\:form\:of\:the\:standard\:ellipse\:equation}\\\left(2x-3\right)^2+\left(y+3\right)^2=36\\\mathrm{Rewrite\:as}\\\left(2x-3\right)^2+\left(y+3\right)^2-36=0[/tex]
[tex]\mathrm{Simplify}\:\left(2x-3\right)^2+\left(y+3\right)^2-36:\quad 4x^2-12x+y^2+6y-18\\4x^2-12x+y^2+6y-18=0\\\mathrm{Add\:}18\mathrm{\:to\:both\:sides}\\4x^2-12x+y^2+6y=18\\Factor\:out\:coefficient\:of\:square\:terms\\4\left(x^2-3x\right)+\left(y^2+6y\right)=18\\\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}4\\\left(x^2-3x\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}\\\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}1[/tex]
[tex]\frac{1}{1}\left(x^2-3x\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}\\\mathrm{Convert}\:x\:\mathrm{to\:square\:form}\\\frac{1}{1}\left(x^2-3x+\frac{9}{4}\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)\\\mathrm{Convert\:to\:square\:form}\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)\\\mathrm{Convert}\:y\:\mathrm{to\:square\:form}[/tex]
[tex]\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y^2+6y+9\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\mathrm{Convert\:to\:square\:form}\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y+3\right)^2=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\mathrm{Refine\:}\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y+3\right)^2=9[/tex]
[tex]\mathrm{Divide\:by}\:9\\\frac{\left(x-\frac{3}{2}\right)^2}{9}+\frac{\left(y+3\right)^2}{36}=1\\\mathrm{Rewrite\:in\:standard\:form}\\\frac{\left(x-\frac{3}{2}\right)^2}{3^2}+\frac{\left(y-\left(-3\right)\right)^2}{6^2}=1\\\mathrm{Therefore\:ellipse\:properties\:are:}\\\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:a=3,\:b=6\\b>a\:\mathrm{therefore}\:b\:\mathrm{is\:semi-major\:axis\:and}\:a\:\mathrm{is\:semi-minor\:axis}[/tex]
[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:\:\mathrm{semi-major\:axis}\:b=6,\:\:\mathrm{semi-minor\:axis}\:a=3[/tex]
The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.
The original prize of the computer is £537.63.
The given parameters:
Final prize of the computer, y = £500Percentage decrease in prize, = 7% = 0.07Original prize of the computerThe original prize of the computer is calculated as follows;
Let the original prize of the computer = x
y = x(1 - 0.07)
500 = x(1 - 0.07)
500 = 0.93x
divide both sides by 0.93
[tex]x = \frac{500}{0.93} \\\\x = 537.63[/tex]
Thus, the original prize of the computer is £537.63.
Learn more about percentage discounts here: https://brainly.com/question/1453984
Please, someone, help if I don't get everything done ill be in trouble
At a town fair, 9 tickets cost twelve dollars. How many tickets could you expect to receive for eight dollars, assuming there is no discount for buying more tickets?
4
5
6
7
Answer:
6
Step-by-step explanation:
Answer:
C. 6
Step-by-step explanation:
9 tickets --- $12
x tickets --- $ 8
9/12 = x/8
x =8*9/12= 6
having a small brain moment, can you please help and show work
Answer:
The value if x is 0.9875.
Step-by-step explanation:
First, we have to get rid of brackets by expanding :
[tex]0.5(2x + \frac{3}{4} ) - \frac{1}{3} (0.1 + x) = 1[/tex]
[tex]0.5(2x) + 0.5( \frac{3}{4} ) - \frac{1}{3} (0.1) - \frac{1}{3} (x) = 1[/tex]
[tex]x + \frac{3}{8} - \frac{1}{30} - \frac{1}{3} x = 1[/tex]
Next you have to collect like terms :
[tex]x - \frac{1}{3} x + \frac{3}{8} - \frac{1}{30} = 1[/tex]
[tex] \frac{2}{3} x + \frac{41}{120} = 1[/tex]
Lastly, you can solve x :
[tex] \frac{2}{3} x = 1 - \frac{41}{120} [/tex]
[tex] \frac{2}{3} x = \frac{79}{120} [/tex]
[tex]x = \frac{79}{120} \div \frac{2}{3} [/tex]
[tex]x = \frac{79}{80} [/tex]
[tex] x = 0.9875[/tex]
In a seventh grade class, 14 out of 30 students are boys. In simplest terms, what is the ratio of the number of boys to the number of girls in this grade?A.7:15B.15:7C.7c:8D.8:15
im lost pls help
Answer:
C
Step-by-step explanation:
14 : 16
7 : 8
boys : girls
Answer:
C
Step-by-step explanation:
If a class has 14 out of 30 students are boys, it has 30 - 14 = 16 girls
ratio of the number of boys to the number of girls means = [tex]\frac{Boys}{girls}[/tex]
Because, firstly it's saying ''boys'' , after ''girls''
Boys = 14 girls = 16
14/16 = 7/8
Hope this helps ^-^
The Figure below shows a triangle with vertices a and B on a circle and vertex C outside it Side AC is tangent to the circle side BC is a sink and intersecting the circle at point X what is the measure of angle ACB
32
6
24
12
Answer:
the answer is 12 degrees
The measure of angle ACB when the secant BC and the tangent AC intersect is 12°
Secant and Tangent intersectionWhen a secant and a tangent meet outside the circle, thwe product of the length of the secant and its external segment equals the square of the length of the tangent segment.
Therefore,
arc XA = 2(64) = 128 degrees.
Hence,
m∠C = 1 / 2 (152 - 128)
m∠C = 1 / 2 (24)
m∠ACB = 12°
Therefore, angle ACB is 12 degrees.
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Make x the subject of the formula
6x + a = 5 ( x + t )
(don’t solve it like a normal equation and it isn’t 5t+a)
Answer:
y33urhrhf he ghhrhddbhdjjx
1. (9t3n5)(-21n?) simplify
Answer:
..............................
Nadia's grades on four quizzes are: 95 75 85 95. What is the median, mode and range of her quizzes?
Answer:
range:20 mode:95 median:90
Step-by-step explanation:
What is the slope of the line that passes through the poiņts (-10, 4) and (-10,8)?
Write your answer in simplest form.
Answer:
Slope is undefined
Step-by-step explanation:
Slope is calculated by [tex]\frac{y1-y2}{x1-x2}[/tex] so now you put the points (-10,4) and (-10,8) into that.
Since both x values are the same you can tell that the line is a vertial line meaning the slope is undefined.
What is the volume of the pyramid?
12 in
8 in
10 in
120 in
320 in
480 in
960 in
Answer:
B. 320 inches cubed
Step-by-step explanation:
A pyramid's volume is denoted by: V = (1/3) * B * h, where B is the base area and h is the height.
Here, the base is a rectangle with dimensions 10 inches by 8 inches. The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. The length is 8 and the width is 10, so plug these in:
A = lw
A = 8 * 10 = 80
So, we know that B = 80.
We are also given that the height is h = 12, so plug these values into the volume formula:
V = (1/3) * B * h
V = (1/3) * 80 * 12 = 320
The answer is thus B.
Answer:b
Step-by-step explanation:
Please help me now plz I will mark you brainliest
Answer:
5.66 units.
Step-by-step explanation:
cos 25 =- adjacent side / hypotenuse
cos 25 = 4 / AB
AB cos 45 = 4
AB = 4 / cos 45
= 5.66.
Simplify the expression (3xy-3/5x-2y2)2
6x3y5
—————
5
Step-by-step explanation:
Residents of a small city voted on whether
to allow a developer to build a shopping
center. The number of votes in favor of the
shopping center was 3,400. The number of
votes against the shopping center was 15,600.
What percent of the voters were in favor of
building the shopping center?
What percent of the voters were against of
building the shopping center?
Add the two numbers together to find total votes:
3,400 + 15,600 = 19,000 total votes.
Divide votes for by total votes:
3,400 / 19,000 = 0.1789
Multiply by 100:
0.1789 x 100 = 17.89% voted for it.
Subtract the percent that votes for it from 100%
100% - 17.89% = 82.11% voted against it.
The answers probably need to be rounded, so 18% for, and 82% against.
y=x²-6x+8 what is y when x is 0?
Answer:
The value of y is 8.
Step-by-step explanation:
In order to find the value of y, you have to put in x = 0 into the equation :
[tex]y = {x}^{2} - 6x + 8[/tex]
Let x = 0,
[tex]y = {0}^{2} - 6(0) + 8[/tex]
[tex]y = 8[/tex]
What is the solution to this equation?
X + 14 = -6
[tex]x+14=-6\implies x=-6-14=\boxed{-20}[/tex].
Hope this helps.
Answer:
x= -20
Step-by-step explanation:
x+14=-6
move constant to the right hand side
x=-6-14
x= -20
karl read 3 times as many books as martina.how many books did karl read
Answer:
Step-by-step explanation: multiply the number of books Martina read 3 times.
Answer:
mutpliy the number of books martina read by 3
Step-by-step explanation:
i have 811 handkerchiefs in all and need 25 for one quilt
Answer:
32.44 quilts will be sewn
Step-by-step explanation:
811/25 = 32.44
Answer:
32 quilts with .44 left over
Step-by-step explanation:
This answer is assuming you are trying to find how many quilts you can make