Answer:
x2 - 4x - 4
———————————
x - 2
Step-by-step explanation:
What is the area of the following right triangle?
Answer:
30 square units
Step-by-step explanation:
The area of the given right triangle can be found a couple of ways:
Pythagorean theoremThe missing side length can be found using the Pythagorean theorem relation between the sides:
c² = a² +b²
13² = a² +5²
a² = 169 -25 = 144
a = √144 = 12
Then the area is ...
A = 1/2ab = 1/2(12)(5) = 30 . . . square units
__
TrigonometryThe angle at lower right can be found from the trig relation ...
Cos = Adjacent/Hypotenuse
cos(A) = 5/13
A = arccos(5/13) ≈ 67.38°
The area can be found from these side lengths and the angle:
A = 1/2bc·sin(A)
A = 1/2(5)(13)sin(67.38°) = 30 . . . square units
_____
Additional comment
The sine of the angle can be computed from the cosine using the identity ...
sin(x) = √(1 -cos²(x))
In this case, the sine of the angle would be found to be 12/13, so the area would be computed as ...
A = 1/2(5)(13)(12/13) = 1/2(12)(5) . . . . same as using the Pythagorean theorem
Which statement must be true?
Answer:
A
the two are parallel
Step-by-step explanation:
I hope its right
good luck!
X is at least 2" can be represented by x > 2.
True
False
Answer:
True
Step-by-step explanation:
Twenty people apply for an open position at an accountant's office. The distribution of ages of the applicants is shown in the box plot.
Distribution of Applicant's Ages
How many of
age in years
the applicants have ages that fall within the box of the box plot?
Please help!!!!
Answer:
The number of applicants that have ages that fall within the box of the boxplot = 10.
Step-by-step explanation:
box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value.
The boxplot usually consists of a box and a whisker plot.
The whiskers represent data that is less than the first quartile or 25th percentile and data that is more than the third quartile or 75th percentile.
The box of the boxplot is bounded by the first quartile or 25th percentile and the third quartile or 75th percentile.
Hence, the fraction of the distribution that is usually contained in the box of the boxplot is (75 - 25), 50% of the distribution.
The total number of applicants = 20
50% of 20 = 10.
Hence, the number of applicants that have ages that fall within the box of the boxplot = 10
Hope this Helps!!!
Need help asappp
Find the surface area of a triangular prisms, base measures 10 cm, height measures 12 cm, sides measure 13 cm
Answer:
552
Step-by-step explanation:
HELP ASAP 30 POINTS!~!!!
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal
size. In this game, you win if the spinner lands on 1, 4, or 7. Your friend wins if the spinner lands on 2.5. or 8.
You tie if the spinner lands on 3. 6. or 9.
All the possible outcomes of the game are listed in the sample space
S = {1,2,3,4,5,6,7,8,9).
If we take A = {1.3.4.6:7.9} as a subset of the sample space, which of the statements below describe the
subset A?
Choose all answers that apply:
Answer:
-The subset consists of all of the outcomes where you do not lose.
-The subset consists of all of the outcomes where your friend loses, or there is a tie.
Step-by-step explanation:
Khan Academy
Statements that describe the subset A are option (a) and option (d).
What is a subset?A set of which all the elements are contained in another set. Subset can be empty or equal to the set.
Given sample of space S = {1,2,3,4,5,6,7,8,9}
And subset M of S = {1,4,7} where you win in the spinner game.
If the spinner lands on the subset N of S = {3,6,9} , you tie.
Given A = {1,3,4,6,7,9,} is a subset of S.
Now to verify the options;
In option (a) ;
The subset consists of all the outcomes where you win that means your friend loses or there is a tie. Because subset A does not contain any elements of subset {2,5,8}, where you lose.
In option (b) ;
The subset consists of all the outcomes where your friend ties. That means subset should only contain the elements of subset N = {3,6,9}. Which is clearly not. So this option is incorrect.
In option (c) ;
The subset consists of all the outcomes where there is not a tie and your friend does not win. That means subset S should only contain the elements from {1,4,7}. which is contradiction so this option is also incorrect.
In option (d) ;
The subset consists of all the outcomes where you do not lose. That means subset does not have any element from {2,5,8}.
Hence Correct answers are option (a) and option (d).
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The complete question is ;
You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal size. In this game, you win if the spinner lands on 1,4, or 7. Your friend wins if the spinner lands on 2,5, or 8. You tie if the spinner lands on 3,6, or 9.
All the possible outcomes of the game are listed in the sample space S= { 1,2,3,4,5,6,7,8,9} If we take A= { 1,3,4,6,7,9} as a subset of the sample space, which of the statements below describe the subset A?
a) The subset consists of all the outcomes where your friend loses or there is a tie.
b) The subset consists of all the outcomes where your friend ties.
c) The subset consists of all the outcomes where there is not a tie and your friend does not win.
d) The subset consists of all the outcomes where you do not lose.
A 20-inch bicycle has tires with a diameter of 20 inches. What is the circumference of these tires?
31.4 inches
62.8 inches
314 inches
1256 inches
Answer:B
Step-by-step explanation:
c=2nr or c=nd
2*3.14 * 10= 62.8
3.14 * 20= 62.8
The circumference of the tires is 62.8 inches.
What is Circumference?Circumference of a circle is defined for non straight curves which is the length of the boundary of the curve.
Given that, a 20-inch bicycle has tires with a diameter of 20 inches.
Diameter of the tire = 20 inches.
Radius of a circle or a circular object is half of the diameter of it.
Radius of the tire = 20 / 2 = 10 inches
Circumference of a circular object = 2πr, r is the radius.
Circumference of the tire = 2π r
= 2 (3.14) (10)
= 62.8 inches
Hence the circumference of a bicycle tire is 62.8 inches.
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On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 0.25). The line exits the plane at (negative 2, negative 6) and (2, 6). Which statement is true about the end behavior of the graphed function?
Answer:
b
Step-by-step explanation:
hope this helps
Answer:
b
Step-by-step explanation:
Is this angle acute right obtuse or straight
Answer:
obtuse
Step-by-step explanation:
Over 90 degrees
Answer:
Obtuse
Step-by-step explanation:
The angle is obtuse because the angle is more than 90 degrees.
A runner won a 100-meter race with a time of 9.73 seconds. How can you use place value to explain this time?
Answer: The runner is going exactly 10.2774922919 meters per second
Step-by-step explanation: Using the ratio 100:9.73, we can simplify that to 10.2774922919:1
7. The distance between point (–4, 5) and another point is 10. What are the possible
coordinates of the other point?
A (2, 2)
B (2, 3)
C (2, –3)
D (–2, –3)
Answer:
D (-2, -3)
Step-by-step explanation: The distance is 10 units, so you take -4 (x) and go over 2 spaces so your at x = -2, and 2 units are down, 8 more to go. Then for (y) you do 5-8 and get -3 so now y = -3 . Now you have moved 10 spaces because 2 + 8 = 10 spaces, and are left at D (-2, -3).
i just need the work for 11 & 12. i know the answer for 11 is (16,4) and 12 is (5,7) but i don’t know how to work it out to get those answers. (solving a system of linear equations)
Answer:
Step-by-step explanation:let x be the number of bicycles,
let y be the number of tricycles
given x+y=20→equation 1
also given 2x+3y=44→equation 2
from eq 1, y=20-x
substitudin ineq 2
2x+3(20-x)=44
2x+60-3x=44
60-x=44
-x=44-60
=-16
x=+16
then y=20-16=4
no of bicycles=16
no of tricycles=4
hope this helps
plzz mark me brainliest
What is the mean absolute deviation of this data set? 26, 31, 32, and 39
Answer:
3.5
Step-by-step explanation:
26, 31, 32, and 39
First we need to find the mean
(26+ 31+ 32+ 39) /4
128/4 = 32
The mean absolute deviation is sum of the positive difference between the number and the mean divided by the number of terms
((32-26)+ (32-31)+ (32-32)+ (39-32)) /4
14/4
3.5
Graph the equation below by plotting the
y-intercept and a second point on the
line. When you click Done, your line will
appear.
Answer:
Step-by-step explanation:
Answer: Second point is (0.833,0)
Step-by-step explanation:
1. To determine slope you must use this formula Y= Mx + B
- M is the slope (positive or negative)
- B is the y-intercept
2. To find y-intercept you use (0, B)
3. M = -6/1
- 6 units down and 1 unit to the right since the slope is negative.
Please help due in 30 min
Answer:
take your time dont rush
Step-by-step explanation:
wil give bianleast
What are the first four terms in the multiplication pattern given by the formula: 2 • 4n?
8, 32, 128, 512
8, 32, 64, 512
2, 8, 32, 128,
32, 128, 512, 2048
Answer: B, but technically, all of them are correct except C.
Step-by-step explanation:
First, you fill in 1 for n:
= 2 x 4(1)
= 2 x 4
= 8
Next, I filled in 4 for n:
= 2 x 4(4)
= 2 x 16
= 32
Then, I filled in 8 for n:
= 2 x 4(8)
= 2 x 32
= 64
You can already figure this one out, and the answer is B.
Answer:
all are correct except the third choice.
Median income is the
A. the middle income reported
B. income in the middle of the data set when incomes are arranged from least to greatest
C. total incomes reported divided by the total number of people surveyed
D. income reported most frequently
Median income is the income in the middle of the data set when incomes are arranged from least to greatest.
What is the median income?Median is a measure of central tendency that is used to describe the number that is in the middle of a set of numbers that are arranged either in ascending or descending order
For example, the income of 3 workers for march are : $1000, $5000, $10,000. The median income is $5000.
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The volume of this square pyramid is 200in^3. Find the value of x.
Answer:
x = 5 in.
Step-by-step explanation:
Volume = 1/3 * area of the base * height
200 = 1/3 * 8*15 * x
200 = 40x
x = 5 in.
The radius of a soccer ball is 4 inches. Approximately what volume of air can it hold? Use 3.14 for Round to the nearest
tenth of a cubic inch,
Recall the formula Sphere V-
in
Mark this and retum
Save and Exit
Submit
Answer:
V =267.9 inch^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 * 3.14 * (4)^3
V =267.946666666
Rounding to the nearest tenth
V =267.9 inch^3
help me you don’t have to explain!!
Answer:
option b ................
How do you find the area of a pizza with a diameter is 18 inches
Answer:
The area of the pizza with a diameter of 18 inches is 254.34 inches.
Step-by-step explanation:
The formula to find the area of a cirlce is A = pi x r^2 or pi times radius squared.
Second, we need to find our radius. To find the radius we need to divide the diameter by 2 to get the radius. In this case; 18 divided by 2 is 9.
Then, we need to plug the radius in the formula:
A = 3.14 x 9^2
9 squared or 9 times 9 equals 81
Next, multiply 81 by 3.14 and you get 254.34
Lastly, add the units of measurement, which would be inches.
Can someone explain this step by step
Answer:
Step-by-step explanation:
[tex]1)\sqrt[4]{81h^{4}}=\sqrt[4]{3*3*3*3*h^{4}}\\\\=\sqrt[4]{3^{4}*h^{4}}\\\\ =3*h\\\\=3h[/tex]
Jarods bicycle wheel has a diameter of 27 inches. How far will the wheel have traveled in one full rotation? Use 3.14 for pi
Answer:
84.78 in
Step-by-step explanation:
in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is [tex]2*3.14*13.5[/tex] which equals 84.78
HELP!!!!!!!!!
Plz Show working:)
Step-by-step explanation:
Hope this help you !! ;))answer of (ii) : perimeter = 66m
area = 272m^2
Which statement is true about the circumference of a circle?
Answer:
A) The circumference is equal to the radius of a circle.
Step-by-step explanation:
Here are the options:
A) The circumference is equal to the radius of the circle.
B) The circumference is equal to the diameter of the circle.
C) The circumference is found by multiplying Pi by the radius.
D) The circumference is found by multiplying Pi by the diameter.
The circumference of a circle is the distance around the circle. The radius is a line segment with one end point on the circle and the other endpoint on the center of the circle.
Math question down below
Answer:
E
E is the only one that ends with 70 and is also all multiples of 6.
Which is the graph of g(x) = [X + 3]?
Answer
D or the fourth one because i took the quiz and got it right
helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Answer:
A proportional relation is a logical relation that establishes a range of conditional relations that together involve direct or inverse correlation.
Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.
A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.
I have to make sure that there is at least one variable that directly effects another.
Some equations are y = 3x, y = 1.5x, and y = 2/3x.
Step-by-step explanation:
Brainliest and 10 points for answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
How do you find the x- and y-intercepts of an equation?
A) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for x.
B) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for y.
C) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for x.
D) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for y.
Answer:
To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.
Answer:
C
Step-by-step explanation:
A, B, and D don't make sense
