Answer:
OctagonStep-by-step explanation:
An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees.
Because the octagon is regular, all of its sides and angles are congruent
Answer:
It's an octagon. So should be the first one with 8 points.
Step-by-step explanation:
Anyone can help me ?
9514 1404 393
Answer:
∠x = 80°∠y = 40°∠z = 60°Step-by-step explanation:
The angle marked x and the one marked 100° form a linear pair, so are supplementary. The measure of x is ...
x = 180° -100° = 80°
__
The angle marked 40° and the one marked y are "alternate interior angles" with respect to the parallel lines and the diagonal that crosses them. As such, they have the same measure:
y = 40°
__
The angle marked 100° and the sum of angles in the lower right corner are "corresponding" angles, so have the same measure. That is ...
100° = 40° +z
z = 100° -40° = 60°
Multiply the polynomials.
(4x- + 4x + 6)(7x + 5)
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](4 {x}^{2} + 4x + 6)(7x + 5)[/tex]
[tex] = \: 7x(4 {x}^{2} + 4x + 6) + 5(4 {x}^{2} + 4x + 6)[/tex]
[tex] = \: 28 {x}^{3} + 28 {x}^{2} + 42x + 20 {x}^{2} + 20x + 30[/tex]
Combining like terms, we have
[tex] = \: 28 {x}^{3} + (28 {x}^{2} + 20 {x}^{2} ) + (42x + 20x) + 30[/tex]
[tex] = \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
please help i need the explanation to go look back at for similar questions in the future. last word is Bold.
Answer:
50
Step-by-step explanation:
The given angles in the triangle are vertically opposite angles. Hence;
9x - 4 = 8 + 7x
Collect the like terms
9x - 7x = 8 + 4
2x = 12
x = 12/2
x = 6
Get the bolded angle
Bolded angle= 8 + 7x
Blded angle = 8 + 7(6)
Bolded angle = 8 + 42
Bolded angle = 50
The hourly earnings (in dollars) for a sample of 25 railroad equipment manufacturers are:15.60 18.7514.60 15.8014.3513.90 17.5017.5513.8014.20 19.05 15.35 15.20 19.45 15.95 16.50 16.30 15.2515.05 19.10 15.20 16.22 17.75 18.40 15.25Find the median and the mode(s)(if they exist) of the data. What is the interquartile range
Answer:
[tex]Median = 15.80[/tex]
[tex]Mode = 15.20\ \&\ 15.25[/tex]
[tex]IQR = 2.35[/tex]
Step-by-step explanation:
Given
[tex]15.60,\ 18.75,\ 14.60,\ 15.80,\ 14.35,[/tex]
[tex]13.90,\ 17.50,\ 17.55,\ 13.80,\ 14.20,[/tex]
[tex]19.05,\ 15.35,\ 15.20,\ 19.45,\ 15.95,[/tex]
[tex]16.50,\ 16.30,\ 15.25,\ 15.05,\ 19.10,[/tex]
[tex]15.20,\ 16.22,\ 17.75,\ 18.40,\ 15.25.[/tex]
Solving (a): The median and the mode
First, we sort the data.
[tex]13.80,\ 13.90,\ 14.20,\ 14.35,\ 14.60,\ 15.05,\ 15.20,\ 15.20,\ 15.25,\ 15.25,[/tex]
[tex]15.35,\ 15.60,\ 15.80,\ 15.95,\ 16.22,\ 16.30,\ 16.50,\ 17.50,\ 17.55,\ 17.75,[/tex]
[tex]18.40,\ 18.75,\ 19.05,\ 19.10,\ 19.45.[/tex]
The median position is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{25 + 1}{2}[/tex]
[tex]Median = \frac{26}{2}[/tex]
[tex]Median = 13th[/tex]
The 13th item is: 15.80
Hence:
[tex]Median = 15.80[/tex]
The modes are:
[tex]Mode = 15.20\ \&\ 15.25[/tex] --- they both have frequency of 2 while others occur once
Solving (b): The interquartile range
This is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
Since the median is at the 13th position, Q1 is:
[tex]Q_1 = \frac{1 + 13}{2}th[/tex]
[tex]Q_1 = \frac{14}{2}th[/tex]
[tex]Q_1 = 7th[/tex]
The 7th item is: 15.20
[tex]Q_1 = 15.20[/tex]
Similarly, Q3 is:
[tex]Q_3 = \frac{13+n}{2}[/tex]
[tex]Q_3 = \frac{13+25}{2}[/tex]
[tex]Q_3 = \frac{38}{2}[/tex]
[tex]Q_3 = 19th[/tex]
The 7th item is: 17.55
So:
[tex]Q_3 = 17.55[/tex]
Hence,
[tex]IQR = 17.55 - 15.20[/tex]
[tex]IQR = 2.35[/tex]
a number added to 3 is equal to negative 5, find the number
Answer:
-8
Step-by-step explanation:
An equation at represents this situation is:
-5 = 3 + x
Find x by;
-5 - 3 = -8
So x is -8:
-5 = 3 + -8 (TRUE)
Hope this helps
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Sum of the two numbers = [tex]-5[/tex]
One of the number = [tex]3[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The other number.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
The other number is [tex]\sf\blue{-8}[/tex].
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let the other number be [tex]x[/tex].
As per the question, we have
[tex]Sum \: \: of \: \: the \: \: two \: \: numbers = -5 [/tex]
[tex]➺ \: 3 + x = - 5[/tex]
[tex]➺ \: x = - 5 - 3[/tex]
[tex]➺ \: x = - 8[/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-8.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex] ➪ \: 3 + ( - 8) = - 5[/tex]
[tex] ➪ \: 3 - 8 = - 5[/tex]
[tex] ➪ \: - 5 = - 5[/tex]
➪ L. H. S. = R. H. S.
[tex]\sf\orange{Hence\:verified.}[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]
The graph of an exponential function passes through (2,−12) and (3,−24). Find the exponential function that describes the graph.
no fancy math here, just some reasoning with words. I just feel like it
for one step in x-direction the value of the function doubles, so the common factor is 2.
so let's trace it back
(1,-6)
(0, -3)
For an exponential function the y-intercept is the "initial value".
do let's write is as a function
[tex]y = - 3 \times {2}^{x} [/tex]
you could also use the points and plug their numbers into the general formula, but I felt this explanation could give you more understanding, since it's meant to be more intuitive.
hope it helps
i'll promise to give the brainliest ! so, can someone help me with this one please
Answer:
13inches
Step-by-step explanation:
hope it works boy
answer:
thanks for the points luv
Find the equation of the images of the following lines when the reflection line is the x-axis:
a. y = -x + 7 b. y = 4
Solve y=x³ with function y=fx
Answer:
Hope it will help you!!!!
After sales tax, a $90 lamp costs
$95.40. What is the sales tax
percentage?
Answer:
the sales tax percentage is 6%
Step-by-step explanation:
To solve this you want to first find what percent $95.40 is of $90. Then we can subtract 100% to find the extra percent (the sales tax).
95.40 is what percent of 90?
95.40 = X · 90
Divide by 90 on both sides.
1.06 = X
So now we know that 95.40 is 106% of 90. We subtract 100% from 106% to get 6%. Therefore the sales tax percentage is 6%.
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 miles per hour.Speed (miles per hour) 42-45 46-49 50-53 54-57 58-61Frequency 21 15 6 4 2The mean of the frequency distribution miles ______ per hour. (Round to the nearest tenth as needed.)Which of the following best describes the relationship between the computed mean and the actual mean?A. The computed mean is not close to the actual mean because the difference between the means is more than 5%.B. The computed mean is not close to the actual mean because the difference between the means is more than 5%.C. The computed mean is not close to the actual mean because the difference between the means is less than 5%.D. The computed mean is close to the actual mean because the difference between the means is less than 5%.
Answer:
47.4167
D. The computed mean is close to the actual mean because the difference between the means is less than 5%
Step-by-step explanation:
Given the distribution :
Speed(m/hr) ___ midpoint(x) ___ F ___fx
42 - 45 _______ 43.5 ________21 __ 913.5
46 - 49 _______47.5 _________15 __712.5
50 - 53 _______ 51.5 _________6 __ 309
54 - 57 _______ 55.5 ________ 4 ___ 222
58 - 61 ________59.5 ________ 2 ___ 119
The midpoint, x= sum of lower and upper boundary divided by 2
For instance, (42 + 45) / 2 = 43.5
The computed mean, Σfx / Σf = 2276 / 48 = 47.4167
Actual mean = 47.3 miles
(47.4167 - 47.3) / 47.3 * 100% = 0.24%
PLEASE ANSWER ASAP
Select all equations for which -2 is a solution.
1) x^2=4
2) x^2=-4
3) x^3=8
4) x^3=-8
5) -x^2=4
6) (-x)^2=4
Answer:
1.
4.
6.
Mark me as brainlist ez
Marisol's new tablet is 9 inches long and has a diagonal of 11 inches. What is the perimeter of
the tablet, in inches, to the nearest tenth of an inch? *Hint: Use the Pythagorean Theorem to
find the width of the tablet.
The perimeter is type your answer...
inches.
Answer:
30.64 inches
Step-by-step explanation:
use Pythagoras theoryum to find the width:
11²=121
121-9²=40
√40=6.32
perimeter is all sides added together so:
6.32+6.32+9+9=30.64
2. How to find the variance and standard deviation of a discrete
random variable?
Answer:
To find the variance just take the second moment and subtract that from the first moment squared
To find the standard deviation just take the square root of the variance
Step-by-step explanation:
Point Z has the coordinates (−3,5) and is translated left 2 units and down 2 units to create point Z′.
What are the coordinates of point Z′?
Answer:
(-5, 3)
Step-by-step explanation:
it translated left 2 units => x'= x-2
down 2 units=> y'= y-2
Answer:-5, 3
Step-by-step explanation:
3. A pair of sneakers that costs $60.50 is on sale for 20% off. Find the DISCOUNT. (5 Points) $20 O $12.01 $12.10 $48.40
Answer:
12,10
Step-by-step explanation:
60,50:100x20=12.10
What is the measure of A?
Answer:
60
Step-by-step explanation:
Since the sides are equal, the angles have to be equal
The angles of a triangle add to 180
180/3 = 60
Angle A = 60
Answer:
60
Step-by-step explanation:
Because each side is equal the angles are as well, therefore the angles must add up to 180
180/3=60
what does $42,690e(0.03)×(20) equal
Answer:
77,786.251
Step-by-step explanation:
Answer:
77,786.251 is the answer that equals $42,690e(0.03)×(20)
Step-by-step explanation:
hey mate hope this help you...!
what is the x and y intercepts for y=3x-1 on a graph
Answer:
x = [tex]\frac{1}{3}[/tex] y = -1
Step-by-step explanation:
x = 0 to solve for y
[tex]y=3x-1[/tex]
[tex]y=3(0)-1[/tex]
[tex]y=-1[/tex]
y = 0 to solve for x
[tex]y=3x-1[/tex]
[tex]0=3x-1[/tex]
Add 1 to both sides
[tex]1=3x[/tex]
Divide by 3 to isolate x
[tex]\frac{1}{3} =x[/tex]
The diagram below is divided into equal parts. Which shows the ratio of unshaded section to shaded sections
Answer:
its D
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
there is 5 unshaded and one shaded
Can someone help me simplify it more?
Answer:
8[tex]v^{-3}[/tex]z - [tex]\frac{5}{3}[/tex] vz
Step-by-step explanation:
Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π
.
Round your answer to the nearest hundredth.
Answer:
The volume of the sphere is 3053. 63 inches.
Step-by-step explanation:
Formula for volume of a sphere is : V = 4 /3 · π · r³
V = 4/3 · π · 9³
V ≈ 3053. 63
The volume of the sphere is 3053. 63 inches.
The points A(-3, -4) and B(5, 0) form a line segment. Find the coordinates of the point P that partitions segment AB in a 2:3 ratio.
Answer:
Step-by-step explanation:
let the coordinates of P be (x,y)
[tex]x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\x=\frac{2(5)+3(-3)}{2+3} \\x=\frac{10-9}{5} =\frac{1}{5} =0.2\\y=\frac{2(0)+3(-4)}{2+3} \\y=\frac{0-12}{5} =\frac{-12}{5} =-2.4\\[/tex]
so coordinates of P are (0.2,-2.4)
Find the constant of variation when t varies directly as s, and t =
260 when s = 65.
Answer:
4
Step-by-step explanation:
Use the direct variation equation, y = kx.
Replace y with t, and replace x with s:
y = kx
t = ks
Plug in 260 as k and 65 as s, then solve for k (the constant of variation):
t = ks
260 = k(65)
4 = k
So, the constant of variation is 4.
the angles of a triangle is 2x,3x and 5x find the value of x
Here,
2x+3x+5x = 180 (sum of all angles of triangle are equal to 180)
or, 10x = 180
or, x = 180/10
x = 18
Therefore, the value of x is 18.
Hope this solution may help you☺
Answer:
2x + 3x + 5x = 180(sum of all the interior angles of a triangle is 180° )
10x = 180°
x=180/10
x = 18°
Chan drew the triangle below. Which two angles are congruent?
Answer:
Q and R
Step-by-step explanation:
So lets look at the triangle.
P seems very thin, wheareas Q and R seem wider.
Normally, if given the degrees of the angles, we can subtract them from 180, which is the degrees of a full triangle, to find if two or more angles are congruent.
In this case however, we just go off of looks.
We see that angle P points strait up. This would not be the case if either Q or R where not going at the same angle, for if they were not congruent, angle P would be tilted to either the left or rihgt side.
So in the end, the best answer is Q and R.
HOpe this helps!
please help me please help me please help me please help me please help me please help me please
Answer:
q5 is 4
q6 is 72
Step-by-step explanation:
yan na po ..sana maktulong sau
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3 kid's meal for his little brother. Charlie has $27. How much can he spend on each sandwich if they are all the same price?
i need equation and awnser plz :)
Answer:
Step-by-step explanation:
Charlie has $27
He spent $3 for kid's meal for his little brother
Remaining money=27-3=$24
Number of Sandwiches he wants to buy = 6
Money he needs to pay for each sandwich = 24/6 = $4
Answer:
a) Answer: $4 or less
b) Inequality: 6x + 3 ≤ 27
Step-by-step explanation: took the quiz and got it right!
What is the answer to number question
Answer:
1.5
Step-by-step explanation:
5*.3
What’s the area ?????
Answer:
The answer is D. 22 square feet
Answer:
D
Step-by-step explanation:
3(2) + 8(2) = 22 sq ft