Answer:
a= c/2
b= (c/2)×√3
side b is the side with the 60 degree angle.
side a is the side with the 30 degree angle.
using the theorem that the side with the 60 degree × 2 = length of side c and the side with the 60 degree × √3 = b.
I get the following equations shown above.
Factor completely
-2x^4+6x^3+8x^2
Answer:
-2x²(x + 1)(x - 4)
Step-by-step explanation:
Hello!
Factor:
[tex]-2x^4 + 6x^3 + 8x^2[/tex][tex]-2x^2(x^2 - 3x - 4)[/tex] Take out GCFThink: What numbers add up to -3 and multiply to -4?
Answer: -4 and 1
Continue:
[tex]-2x^2(x^2 - 3x - 4)[/tex][tex]-2x^2(x^2 - 4x + x - 4)[/tex][tex]-2x^2(x(x - 4) + 1(x - 4))[/tex] Factor by Grouping[tex]-2x^2(x + 1)(x - 4)[/tex]The complete factored form is -2x²(x + 1)(x - 4)
x^2+ y^2+14x-4y+17=0 center and radius
A runner takes 6. 6 seconds to complete a sprint. If they run the sprint 8 times, how many total seconds would it take?
Answer:
52.8 seconds
multiply 6.6 times 8
Step-by-step explanation:
Can I Get Some Help But Dont Mind The "You will use the same image for question 8 and 9."
Answer:
mPEQ is 220°, mPQ is 140°Step-by-step explanation:
Let mPEQ = x and mPQ = y
The angle between two tangents is half the difference between the major and minor arcs.
(x - y)/2 = 40The sum of same arcs is full circle
x + y = 360Simplify the first equation
x - y = 80Add up with the second one and solve for x
x - y + x + y = 80 + 3602x = 440x = 220Find the minor arc measure
y = 360 - 220 = 140Lori is interested in astronomy. She wants to build a scale model of the solar system in a nearby park. She is using a table that lists the planets’ average distance from the sun in millions of miles.
Answer: 8.2831
Step-by-step explanation:
The value of √-4 and not -2 because
Answer:
Step-by-step explanation:
The value of √-4 and not -2 because
-2 * -2 = + 4.
Also there is no real number whose square is a negative.
Hi Student!
This question can seem quite complex but it has a simple explanation. Just imagine, what is the purpose of a square root? It shows what can by multiplied against itself and produce the number that is in the square root. That is why when we take the square root of 4 we get 2 and -2 because they both produce the number 4 when we square them. Whenever we square a number, no matter if it's positive or negative, the answer will always be positive. This is because in order to get a negative number only one can be negative to overcome the positive otherwise it's just a double negative.
Therefore, there is a solution to the question of what is the square root of -4. What we do is practically take out the negative because the square root of -1 is equal to i. So we take the following steps
Separate the square root
[tex]\sqrt{-4}[/tex][tex]\sqrt{4}*\sqrt{-1}[/tex]Simplify the expression
[tex]\sqrt{4}*i[/tex][tex]2*i[/tex]Looking at what we have done, we see that although the explanation behind it might seem complex the actual solving portion isn't too hard when explained. Therefore, the solution to the square root of -4 would be 2i.
does the given value make the inequality true x + 9 21 when x = 15
x = 15 is in fact a solution of the given inequality.
Is the inequality true for the given value?
Here we have the inequality:
x + 9 > 21
We want to see if it is true for x = 15, to check it, we need to repace the value:
15 + 9 > 21
24 > 21
This is true, 24 is larger than 21, then we conclude that x = 15 is a solution of the given inequality.
If you want to learn more about inequalities you can read:
https://brainly.com/question/18881247
#SPJ1
Which two of the following expressions are equivalent to cos(theta)? answers are cos(2pi+theta), cos(-theta), cos(pi-theta), and cos(pi+theta), also can someone explain this concept to me, i literally dont understand
The expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given trigonometric expressions is,
[tex]f(\theta)=\cos\theta[/tex]
The cosine function is the periodic function. The function repeats itself after the 2π. Thus,
[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(2\pi+\theta)[/tex]
The cosine function is an even function. Thus,
[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(-\theta)[/tex]
Thus, the expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
#SPJ1
equation of a circle that has a center of (-4,-1) and passes through (1,-3)
Answer:
[tex](x + 4)^{2} + (y + 1)^{2} = 29[/tex].
Step-by-step explanation:
The equation of a circle of radius [tex]r[/tex] and center [tex](a,\, b)[/tex] is:
[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].
In this question, it is given that the center is [tex](-4,\, -1)[/tex], such that [tex]a = (-4)[/tex] while [tex]b = (-1)[/tex].
The radius of this circle could be found as the distance between the center of this circle, [tex](-4,\, -1)[/tex], and any point on the circle- such as [tex](1,\, -3)[/tex]. Using the distance formula, the radius of this circle would be:
[tex]\begin{aligned}r &= \sqrt{((-4) - 1)^{2} + ((-1) - (-3))^{2}} \\ &= \sqrt{29}\end{aligned}[/tex].
Therefore, the equation of this circle would be:
[tex](x - (-4))^{2} + (y - (-1))^{2} = (\sqrt{29})^{2}[/tex].
Simplify to obtain:
[tex](x + 4)^{2} + (y + 1)^{2} = 29[/tex].
Help me find the figure , area formula and graph the dots and find the area
Answer:
Looking at the given points we know that it is going to be a triangle because it only have 3 points. Therefore the figure is a triangle and the area formula would be [tex]A=\frac{1}{2}*b*h[/tex].
You can look at the attached graph and what we see is that our height of the triangle is from [tex]y=-3[/tex] to [tex]y=4[/tex] which means that our height is 7 units high. We can also see that our base starts at [tex]x=-4[/tex] and ends at [tex]x=4[/tex] making us have a base of 8 units.
We then plug in the values and solve
[tex]A = \frac{1}{2}*7\ units * 8\ units[/tex]
[tex]A = \frac{1}{2}*56\ units^2[/tex]
[tex]A = 28\ units^2[/tex]
Therefore, the area of our triangle is [tex]28\ units^2[/tex]
Hope this helps! Let me know if you have any questions
(1) A workshop venue has 35 participants. Each participant shakes hands with each and every other participant. (a) How many handshakes will be made by the first participants? (1)
There are 595 handshakes at maximum.
What is handshaking lemma?Every finite undirected graph, the number of vertices that touch an odd number of edges is even.
given that:
Number of participants in a party = 35
Now, By "handshake lemma":
number of shakes that would be
=n(n-1)2
=35(35-1)/2
=35*34/2
=35*17
= 595
Hence, there are 595 handshakes at maximum.
Learn more about this concept here:
https://brainly.com/question/5334560
#SPJ1
can anyone help me find 4,6, and 7? please
Answer:
study btc
Step-by-step explanation:
Item 5
What is the correct classification for ∠JML?
obtuse
straight
right
acute
Ray M J and Ray M L are connected at point P, forming angle J M L. A ray M K sharing the same point forms a bisector. A ray M H also sharing the same point from the diagonally down from the right. The angle J M K measure 41 degrees and angle L M H measure 132 degrees.
The correct classification for the angle JML is an acute angle.
What is an acute angle?An acute angle has a measure, or it's smaller, than a right angle.
An acute angle has a measure less than 90 degrees.
Therefore,
let's find the measure of ∠JML
Hence,
∠JML = ∠JMK + ∠KML
∠KML = 180 - 132 = 48 degrees.
Therefore,
∠JML = 41 + 48 = 89 degrees.
Therefore, the correct classification for the angle JML is an acute angle.
learn more on acute angle here: https://brainly.com/question/10547178
#SPJ1
Please give a proper explanation.
A book store carries 41 Ocean calendars and 48 Space calendars. Every day, the store sells 3 Ocean calendars and 4 Space calendars.
After how many days there are the same number of both calendars left in the store?
Answer:
After 7 days there are the same number of both calendars left in the store
Step-by-step explanation:
Let x be defined by the number of days,
41 total, 3 Ocean calendars sell each day
48 total, 4 Space calendars sell each day
expression: 41 - 3x = 48 - 4x
- we set them equal to find when x amount days are the same for both calendars
- we subtract due to selling each calendars
solving:
41 - 3x = 48 - 4x
add 4x to both sides, trying to get like terms on the same side
41 - 3x + 4x = 48 - 4x + 4x
41 + x = 48
now subtracts 41 from both sides to get x alone
41 - 41 + x = 48 - 41
x = 7
check the attachment pls.
Step-by-step explanation:
135+k=180(sum of angles on a straight line)
k=180-135
k=45
so now u can use k to solve for x
k+9x is also on a straight line
so k+9x=180
we know k so substitute the value in the equation
45+9x=180
9x=180-45
9x=135
[tex] \frac{9x}{9} = \frac{135}{9} [/tex]
cancel 9 will divide 135 15 times
therefore x=15 degrees
A nationwide survey of a random sample of teenagers asked
whether or not they play sports. The survey concluded that 53%
play at least one sport. Use this information to predict how many
students in a school with 2,000 teenage students play at least one
sport.
Answer:
1060 students
Step-by-step explanation:
Work out the value of x
Answer:
x = 20°
Step-by-step explanation:
Consecutive interior angles theorem
The pairs of consecutive interior angles formed when two parallel lines are cut by a transversal are supplementary (sum to 180°).
⇒ 4x + 5x = 180°
⇒ 9x = 180°
⇒ x = 20°
Answer:
4x+5x=180
9x/9=180/9
x=20
the sum of 2 numbers is 17. one number is 3 less than 2/3 of the other number. What is the lesser number
Answer:
5, 12
Step-by-step explanation
Pollsters take a survey of people at a ball game to collect and analyze data about favorite leisure activities of star city’s residents. would this study be biased? why or why not? no, it is not biased. the sample of people at the ball park is representative of star city’s residents. no, it is not biased. all people at the ball park will respond to the survey. yes, it is biased. not all people at the ball park will respond to the survey. yes, it is biased. the sample of people at the ball park is not representative of star city’s residents.
Using sampling concepts, it is found that the correct option regarding the sample is given as follows:
It is biased. The sample of people at the ball park is not representative of star city’s residents.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, we have that only one group is sampled, that is, the people that went to the ballgame, hence the sample is not representative and the correct option is given by:
It is biased. The sample of people at the ball park is not representative of star city’s residents.
More can be learned about sampling concepts at https://brainly.com/question/25122507
#SPJ4
Answer:
d
Step-by-step explanation:
edge
24 seconds, 24 minutes, 24 hours, 24 days, 24 weeks, 24 months, 24 years, equals how many days?
Answer:
1345.01694448 days
Step-by-step explanation:
24 weeks = 24 x 7 = 168 days
24 months = 24 x 30 x 7 = 168 x 7 = 1176 days
24 seconds = 0.000277778 days
24 minutes = 0.0166667 days
24 hours = 1 day
Total = 1345.01694448 days
What is the distance between (22,-3) and (1, -3)?
0 -31
units
0 -15 units
2
- 15 units
3 units
Answer:
Option D
Step-by-step explanation:
Distance between two pointsThe y-value of the two points is unchanged. So, the line is parralel to x-axis.
The distance will be the diffrence between the x-co ordinates.
[tex]\sf Distance = 1 - (-2\dfrac{1}{2})[/tex]
[tex]\sf =1+\dfrac{5}{2}\\\\= \dfrac{2}{2}+\dfrac{5}{2}\\\\=\dfrac{7}{2}\\\\=3\dfrac{1}{2}[/tex]
The 5 students in Mrs. Jackson's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered. 11, 3, 7, 9, 12 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.
Answer:
the mean in all of the numbers added together devided by how many numbers there are so it would be 8.4, and the median is the middle so it would be 9.
Step-by-step explanation:
your welcome
please asap i dont need expalination correct answer gets brainliest please
Answer:568.99 is what I calculated
Step-by-step explanation:
HELPPPP ASAP ILL GIVE BRAINLY!!! Identify bottom material based on refraction. Water, Glass, Air
PLEASE I REALLY NEED THIS BY TODAY A parent donated 50 cups for the juice. Each cup can hold 500 ml of juice. What is the least amount of juice needed if each student will receive one cup filled with juice? Show your work in the space below.
Answer:
it 25,000
Step-by-step explanation:
if u multiply 50x500 it will give u 25,000 hope this works
What happens to the mode of the data set shown below if the number 8 is added to the data set?
A. There is no mode.
B. The mode will not change.
C. There will be two modes.
D. The mode increases by 6.
Answer:
c
Step-by-step explanation:
right now 15 is the mode because there are 3 of them
if we made it so that there was another 8 there would also be 3 of them
this would mean that there are two modes
Answer answer questions please
Answer:
d
Step-by-step explanation:
it is 4/5ths of the answer towards one and the only other likely answer would seem as though b but b=9/10ths so D.
Answer: the answer is choice d .
Step-by-step explanation: as 4 over 5 is 0.8 which is less than one on a number line . It is close to one but ofcourse lesser . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
Find the sum of the first 6 terms of the following series, to the nearest integer. 15 , 5 , 5/3
Answer:
22
Step-by-step explanation:
the pattern here is to divide the previous number by 3
the first number is 15, divided by 3 to give you the second number:5 ,the second number divided by 3 gives us 5/3
using that principle the first six terms are :
15, 3, 5/3 , 5/9, 5/27, 5/81
(just multiply the denominator by 3)
adding we have
[tex]15 + 5 + \frac{5}{3} + \frac{5}{9} + \frac{5}{27} + \frac{5}{81} = \frac{1820}{81} [/tex]
1820/81 in decimal is 22.4691 to the nearest whole number that is 22.
hope this helps!
[tex] \huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red} Question}}}}[/tex]
[tex] \mathsf \blue{sketch \: the \: graph \: of}[/tex]
[tex] \mathsf \blue{y \geqslant x + 1}[/tex]
Answer:
Graph attached →
Step-by-step explanation:
Jordan invests $9,500 into an account that earns 3.25% annual interest. How much will
be in the account after 10 years if the interest rate is compounded daily or continuously?
Which compounded interest rate should Jordan choose?
The amount of money that Jordan will earn at the end of 10 years = $12,587.5
Calculation of compounded interestsThe principal amount invested(P) = $9,500
The annual compounded daily interest rate(R) of the account = 3.25%
The time given (T) = 10 years
Simple interest (SI) = P×T × R/100
SI = 9,500×10×3.25/100
SI= 308750/100
SI= $3087.50
Therefore the total amount that would be in the account after 10 years = $9,500 + $3,087.50
= $12,587.5
Learn more about compound interest here:
https://brainly.com/question/24924853
#SPJ1