Answer:
Correct Answer: Option A
Step-by-step explanation:
cos(x + 25o) = sin 45o
using cos θ = sin(90 - θ)
cos(x + 25o) = cos(90 - 45)
cos(x + 25o) = cos 45
x + 25 = 45
x = 45 - 25
x = 20o
Hope it helps ♡^▽^♡
find the other endpoint of the segment with the given midpoint M and endpoint J. J(7,2) and M(1,-2)
The midpoint formula is as follows
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Plug in the information we know.
[tex](1,-2)=(\frac{7+x_2}{2},\frac{2+y_2}{2})[/tex]
Solve for [tex]x[/tex]
[tex]1=\frac{7+x_2}{2}[/tex]
[tex]2=7+x_2[/tex]
[tex]x_2=-5[/tex]
Solve for [tex]y[/tex]
[tex]-2=\frac{2+y_2}{2}[/tex]
[tex]-4=2+y_2[/tex]
[tex]y_2=-6[/tex]
The other endpoint of the segment is [tex](-5,-6)[/tex]
Hope this helps.
頑張って!
Solve for M:
–7(3 – 4m) = 8m + 19
-21 + 28m = 8m + 19
20m = 40
m = 2
24 x 0.17 lol help pls
The value of the 8th term is 78.
The sequence is increasing by 10 at each step.
Explicit equation: y=10x-2
Recursive: now= previous term +10
Find the 9th term.
Explanation:
Answer:
108
Step-by-step explanation:
PLZ HURRY 80 points
Find the total amount in the compound interest account.
$3000 is compounded quarterly at a rate of 9% for 6 years.
$ | ? | (Round to the nearest cent.)
Answer:
10,300
Step-by-step explanation:
Point I is on line segment HJ. Given I J equals 3X +3, HI equals 3X-1, and HJ equals 3X +8, determine the numerical length of HJ.
Answer:14
Step-by-step explanation:
3x + 3 + 3x - 1 = 3x + 8
6x + 2 = 3x + 8
3x + 2 = 8
3x = 6
x = 2
HJ= 3(2) + 8 =6 + 8 = 14
HI= 3(2) - 1 = 6 - 1 = 5
IJ = 3(2) + 3 = 6 + 3 = 9
The numerical value of the length HJ such that will be I J equals 3X +3, HI equals 3X-1, and HJ equals 3X +8 will be 14.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given that the line HJ has a length of 3x+8
HJ = 3x+8
The line segment HI has a length of 3x -1
HI = 3x -1
The line segment IJ is 3x + 3
IJ = 3x + 3
Since line HJ = HI + IJ
3x -1 + 3x + 3 = 3x+8
x= 2
The length of HJ will be
HJ = 3(2) + 8
HJ = 14 hence, 14 will be the correct answer.
For more about line segment
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If c(x)= 4x - 2 and d(x)= x^2 + 5x what is ( c • d ) ( x )?
Answer:
cdf
Step-by-step explanation:
Simplify the expression.
-44.288-31.6
-3.16-1.2)
0 -5.1
0 -4.21
O 3.42
0 5.1
Answer:
D: 5.1
Step-by-step explanation:
6c + 7c +7c + 8c + 9c nesesito de su ayuda plis
Answer:
37c
Step-by-step explanation:
6c+(7c+7c)+8c+9c
6c+14c+(8c+9c)
6c+(14c+17c)
6c+31c
37c
The ages of an audience at a concert were recorded as follows:
12, 14, 13, 11, 10, 16, 17, 13, 12, 10, 10, 14, 15, 15, 12, 15, 17, 15
(a) Create a frequency table with the above information.
Here is a central angle that measures 1.5 radians. Select all true statements. Question 1 options: A) The area of the whole circle is 1.5 times the area of the slice. B) The radius is 1.5 times longer than the length of the arc defined by the angle. C) The ratio of radius to arc length is 1.5. D) The length of the arc defined by the angle is 1.5 times longer than the radius. E) The ratio of arc length to radius is 1.5. F) The circumference of the whole circle is 1.5 times the length of the arc formed by the angle.
Answer:
D, E
Step-by-step explanation:
The applicable formula is ...
s = rθ
so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...
D) The length of the arc defined by the angle is 1.5 times longer than the radius.
E) The ratio of arc length to radius is 1.5.
what is the constant proprotionality in the equation y=5x
Answer:
5
Step-by-step explanation:
Well if y=5x then, the constant variation would have to be 5. Hope that helps.
A rectangular plot of ground having dimensions 26 feet by 30 feet is surrounded by a walk of uniform width. If the area of the walk is 240 feet squared, what is its width?
Answer:
2 ft
Step-by-step explanation:
Given that Dimensions of rectangular plot are: 26 feet by 30 feet
Length is 26 ft
Width is 30 ft
Area of rectangle = Length [tex]\times[/tex] Width
So, area of given rectangular field is = 26 [tex]\times[/tex] 30 = 780 sq ft
Let the width of the walk = [tex]x[/tex] ft
Kindly refer to the attached image for the given scenario.
Dimensions of the plot with walk = (26+2[tex]x[/tex]) ft by (30+2[tex]x[/tex]) ft
So, area of plot without walk = 780 sq ft
Area of walk = Area with walk - Area of plot
Now, we are given that area of walk = 240 sq ft
So, we get:
240 = (26+2[tex]x[/tex]) [tex]\times[/tex] (30+2[tex]x[/tex]) - 840
[tex]\Rightarrow (26+2x)(30+2x)=780+240\\\Rightarrow 780+4x^2+112x=780+240\\\Rightarrow 4x^2+112x-240=0\\\Rightarrow x^2+28x-60=0\\\Rightarrow x^2+30x-2x-60=0\\\Rightarrow x(x+30)-2(x+30)=0\\\Rightarrow x = 2, -30\ ft[/tex]
[tex]x[/tex] can not be negative, so [tex]x = 2\ ft[/tex]
So, the width of the walk = 2 ft
PLEASE HELP ME!!
Simba loans $2,000 to his buddy Timon to teach hula lessons.
Timon is having trouble balancing his books and winds up losing $500 a month
after starting up his business. Pumba is helping Timon calculate how much debt
he will be in after one year if he doesn't make any changes. What should he use
for the y-intercept? What should he use for the rate of change?
Answer:
y-intercept: 2000rate of change: 500Step-by-step explanation:
When Timon starts, he is already $2000 in debt. If we represent Timon's debt with positive numbers, the y-intercept will be $2000.
Timon's debt seems to be increasing at the rate of $500 per month. That value is the rate of change.
After m months, Timon's debt d will be ...
d = 500m + 2000
Solve the equation: 6n+5<11
Steps to solve:
6n + 5 < 11
~Subtract 5 to both sides
6n < 6
~Divide 6 to both sides
n < 1
Best of Luck!
Answer:
n > -1
Step-by-step explanation:
1.1 Pull out like factors :
-6n - 6 = -6 • (n + 1)
2.1 Divide both sides by -6
Remember to flip the inequality sign:
2.2 Subtract 1 from both sides
n > -1
2.3 Inequality plot for
-6.000 X - 6.000 > 0
(-1.5)(0.8) need the answers asap
Answer:
what do u look like
Step-by-step explanation:
Can someone answer this ?
Answer:
A) 46
Step-by-step explanation:
230+9x=14x
230=5x
230/5=x
x=46
CHECK:
230+9(46)=644
14*46=644
Translate each algebraic expression or equation into a verbal phrase: X - 8 = 14
Answer:
x subtracted by negative 8 is equal to 14.
Step-by-step explanation:
Answer:
A number minus eight is equal to fourteen
or
Eight less than a number is equal to fourteen
both should be correct
Express the following in scientific notation:
10,030,400,000
Answer:
1.00304 * 10^10
Step-by-step explanation:
The first one dark blue I think
Subtract (3 + 2i) from (–9 – 8i).
–17 – 5i
–6 – 6i
–12 – 10i
12 + 10
Answer:
-12 - 10i
Step-by-step explanation:
We are subtracting 3 + 2i from -9 - 8i. Rewrite the left side as -3 - 2i and then ADD this result to -9 - 8i:
-9 - 8i
-3 -2i
-----------
-12 - 10i
Answer:
-9-8i)-(3+2i)
= -9-8i-3-2i
Separate i and the numbers
= (-9-3)+(-8i-2i)
= -12-10i
Step-by-step explanation:
Grant pays $30 a month for his data package for his cellphone plus an additional 5 cents for each mega bite, m, used over his limit. Write an algebraic expression to represent Grant's data package expense per month
Answer:
30+0.05x where x is the amount of data over the limit in megabytes.
I have to find the slope and the y-intersect from these graphs. It would mean alot if someone could help with at least one of them, or teach me how to solve these.
Answer:
Alright bear with me, this is gonna be a long one.
The Y INTERCEPT
So the y-intercept is going to be where the line intersects the Y-AXIS. The y-axis is the vertical part of the graph with the numbers on it.
So, for the first one, the line goes through the origin which means that that the y intercept is going to be (0,0)
The next one, the line intersects the y-axis at (0,1)
Here's a tip: the y-intercept will always have 0 as it's x coordinate.
The Slope
Alright, the slope of a vertical line can be found using an equation. Most typically people will describe the slope as RISE/RUN meaning how many units you move up "rise" and how many units you move horizontally "run" to touch the line. Of course, it's easier when you can identify points.
So to make this a little bit easier to understand, I will show you how to use the equation to find the slope.
[tex]\frac{y2-y1}{x2-x1}[/tex]
So for this equation, what you need is two coordinates. So for the first graph, I'm going to use the points (0,0) and (1,3)
[tex]\frac{3-0}{1-0}[/tex]
So we make the three y2 because it's the second y coordinate and the y1 would be 0. Same applies to the x coordinates but use the x values.
the slope for the first graph would be 3/1
FOR THE SECOND GRAPH
[tex]\frac{y2-y1}{x2-x1}[/tex]
Here's our equation now pick two points. I'll be using (-5,4) and (0,1)
[tex]\frac{1-4}{0-(-5)}[/tex]
Don't forget that a negative-a negative = positive
which will leave you with
[tex]\frac{-3}{5}[/tex]
since it can't be simplified any further, your slope is -3/5.
I hope I was able to help you understand this a bit better :)
*PLEASE ANSWER ASAP, ILL CHOOSE BRAINLIEST* Julie is playing a game where she must flip 3 coins. If Julie flips all 3 coins and gets heads all three times, she wins. If Julie does not get heads all three times, she loses. This information was used to create the following tree diagram.
Answer:
It is fair.
See the chart?
On all coins, there is a 50/50 chance it will be wrong or right.
There are 6 sides.
Half of them are H, and the other half T.
So, there are 3 heads and 3 tails.
3 to 3 is equal, so it is fair.
Hope this helped :)!
Answer:
No, the game is not fair because Julie does not have equal probabilities of winning or losing.
Step-by-step explanation:
WORTH LOT OF POINTS DONT PLAGERIZE NO FAKE ANSWERS WILLL REPORT::::: Mindy understands how to tell if ordered pairs are functions but does not remember how to determine if a graph is a function. What test could she use and how does it work? (also include definition of functions)
Answer:
The vertical line test
Step-by-step explanation:
Basically, draw vertical lines over the function.
If each value of x has a different y-value, then it is a function.
find the distance between each pair and points (-4,6) (3,-7)
Answer:
[tex]d =\sqrt{218}[/tex]
Step-by-step explanation:
[tex]d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(-4,6)=(x_1,y_1)\\ (3,-7)=(x_2,x_1)\\\\d = \sqrt{\left(3-\left(-4\right)\right)^2+\left(-7-6\right)^2}\\\\d = \sqrt{(3+4)^2+(-7-6)^2} \\\\d = \sqrt{(7)^2 +(-13)^2}\\ \\d = \sqrt{49+169} \\\\d = \sqrt{218} \\\\Decimal = 14.7648\\=14.8[/tex]
number sets of the square root of 15
Answer:
the square root is 15=5
e^x - e^-x/2
Evaluate the equation above for x = 1.5
a. 2.35
b. 2.13
c. 4.37
Answer: 2.13
Step-by-step explanation:
Plug x (1.5) into the equation.
e^(1.5) - e^(-1.5)
Then, divide by 2.
Your answer will be 2.129 and then round to 2.13.
Answer:
2.13
Step-by-step explanation:
PLEASE HELPPP ON THIS ONE TOO
Please help me solve the problem
Answer:
Probability of getting a green marble=5/15=3/5
Probability of getting a black marble=5/15=3/5
Cooper works part time for a moving company. One day he had to move 34 boxes from a truck to inside a house. After moving some boxes, he took a break and told his boss that he has only 15 boxes to move. Which equation below can be solved to find how many boxes Cooper moved before his break. A. 15+34=x B. 15−x=34 C. 34−x=15 D. 34+x=15
Answer: D
Step-by-step explanation: hope this helped u.