Answer:
20cm = 0.2 m
The cost
= 0.2 x 75
= $15
Find the length of the third side. If necessary, round to the nearest tenth.
15
13
Pythagorean theorm
Answer:
third side ≈ 19.8
Step-by-step explanation:
using Pyjthagoras' identity in the right triangle.
the square on the hypotenuse x is equal to the sum of the squares on the other 2 sides, that is
x² = 13² + 15² = 169 + 225 = 394 ( take square root of both sides )
x = [tex]\sqrt{394}[/tex] ≈ 19.8 ( to the nearest tenth )
Help on all 3 questions
Answer:
a. What is the slope of the line?
[tex]y = -3x-3[/tex]
b. What is the x-intercept of the line? (Where does the line cross the x-axis?)
[tex](-1,0)[/tex]
c. What is the y-intercept of the line? (Where does the line cross the y-axis?)
[tex](0, -3)[/tex]
Step-by-step explanation:
Calculate slope:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{-3-0}{0-(-1)} \\m = \frac{-3}{1}\\m = -3[/tex]
Calculate y-intercept:
(Pick any point that lies on the line)
[tex](-1,0)[/tex]
[tex]b = y - (mx)\\b = 0 - (-3 * -1)\\b = 0 - (3)\\b = -3[/tex]
Create function:
[tex]y = -3x-3[/tex]
Get x-intercept:
Set y = 0:
[tex]0 = -3x-3\\3 = -3x\\-1 =x[/tex]
[tex](-1,0)[/tex]
Get y-intercept:
Set x = 0:
[tex]y = -3x-3\\y = -3 * 0 -3\\y = 0 - 3\\y = -3[/tex]
[tex](0, -3)[/tex]
High School Geometry Khan Academy help. Need to pass this class!
Use the long division method to find the result when x^3+9x² +21x +9 is divided
by x+3
Answer:
x^3 + 9 x^2 + 21 x + 9 = (x^2 + 6 x + 3)×(x + 3) + 0
Step-by-step explanation:
Set up the polynomial long division problem with a division bracket, putting the numerator inside and the denominator on the left:
x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9
To eliminate the leading term of the numerator, x^3, multiply x + 3 by x^2 to get x^3 + 3 x^2. Write x^2 on top of the division bracket and subtract x^3 + 3 x^2 from x^3 + 9 x^2 + 21 x + 9 to get 6 x^2 + 21 x + 9:
| | | x^2 | | | |
x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9
| -(x^3 | + | 3 x^2) | | | |
| | | 6 x^2 | + | 21 x | + | 9
To eliminate the leading term of the remainder of the previous step, 6 x^2, multiply x + 3 by 6 x to get 6 x^2 + 18 x. Write 6 x on top of the division bracket and subtract 6 x^2 + 18 x from 6 x^2 + 21 x + 9 to get 3 x + 9:
| | | x^2 | + | 6 x | |
x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9
| -(x^3 | + | 3 x^2) | | | |
| | | 6 x^2 | + | 21 x | + | 9
| | | -(6 x^2 | + | 18 x) | |
| | | | | 3 x | + | 9
To eliminate the leading term of the remainder of the previous step, 3 x, multiply x + 3 by 3 to get 3 x + 9. Write 3 on top of the division bracket and subtract 3 x + 9 from 3 x + 9 to get 0:
| | | x^2 | + | 6 x | + | 3
x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9
| -(x^3 | + | 3 x^2) | | | |
| | | 6 x^2 | + | 21 x | + | 9
| | | -(6 x^2 | + | 18 x) | |
| | | | | 3 x | + | 9
| | | | | -(3 x | + | 9)
| | | | | | | 0
The quotient of (x^3 + 9 x^2 + 21 x + 9)/(x + 3) is the sum of the terms on top of the division bracket. Since the final subtraction step resulted in zero, x + 3 exactly divides x^3 + 9 x^2 + 21 x + 9 and there is no remainder.
| | | x^2 | + | 6 x | + | 3 | (quotient)
x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9 |
| -(x^3 | + | 3 x^2) | | | | |
| | | 6 x^2 | + | 21 x | + | 9 |
| | | -(6 x^2 | + | 18 x) | | |
| | | | | 3 x | + | 9 |
| | | | | -(3 x | + | 9) |
| | | | | | | 0 | (remainder) invisible comma
(x^3 + 9 x^2 + 21 x + 9)/(x + 3) = (x^2 + 6 x + 3) + 0
Write the result in quotient and remainder form:
Answer: Set up the polynomial long division problem with a division bracket, putting the numerator inside and the denominator on the left:
x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9
To eliminate the leading term of the numerator, x^3, multiply x + 3 by x^2 to get x^3 + 3 x^2. Write x^2 on top of the division bracket and subtract x^3 + 3 x^2 from x^3 + 9 x^2 + 21 x + 9 to get 6 x^2 + 21 x + 9:
| | | x^2 | | | |
x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9
| -(x^3 | + | 3 x^2) | | | |
| | | 6 x^2 | + | 21 x | + | 9
To eliminate the leading term of the remainder of the previous step, 6 x^2, multiply x + 3 by 6 x to get 6 x^2 + 18 x. Write 6 x on top of the division bracket and subtract 6 x^2 + 18 x from 6 x^2 + 21 x + 9 to get 3 x + 9:
| | | x^2 | + | 6 x | |
x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9
| -(x^3 | + | 3 x^2) | | | |
| | | 6 x^2 | + | 21 x | + | 9
| | | -(6 x^2 | + | 18 x) | |
| | | | | 3 x | + | 9
To eliminate the leading term of the remainder of the previous step, 3 x, multiply x + 3 by 3 to get 3 x + 9. Write 3 on top of the division bracket and subtract 3 x + 9 from 3 x + 9 to get 0:
| | | x^2 | + | 6 x | + | 3
x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9
| -(x^3 | + | 3 x^2) | | | |
| | | 6 x^2 | + | 21 x | + | 9
| | | -(6 x^2 | + | 18 x) | |
| | | | | 3 x | + | 9
| | | | | -(3 x | + | 9)
| | | | | | | 0
The quotient of (x^3 + 9 x^2 + 21 x + 9)/(x + 3) is the sum of the terms on top of the division bracket. Since the final subtraction step resulted in zero, x + 3 exactly divides x^3 + 9 x^2 + 21 x + 9 and there is no remainder.
| | | x^2 | + | 6 x | + | 3 | (quotient)
x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9 |
| -(x^3 | + | 3 x^2) | | | | |
| | | 6 x^2 | + | 21 x | + | 9 |
| | | -(6 x^2 | + | 18 x) | | |
| | | | | 3 x | + | 9 |
| | | | | -(3 x | + | 9) |
| | | | | | | 0 | (remainder) invisible comma
(x^3 + 9 x^2 + 21 x + 9)/(x + 3) = (x^2 + 6 x + 3) + 0
Write the result in quotient and remainder form:
Answer: x^3 + 9 x^2 + 21 x + 9 = (x^2 + 6 x + 3)×(x + 3) + 0
I WILL GIVE YOU 85 POINTS
Answer:
a.) 2nd quarter
b.) ur just adding up all the goals, add all the away goals and home goals from every quarter and youll get an answer of 48
c. And for this one you adding all the home goals seperatly from away goals, theres 26 home goals and 22 away goals. now 26 - 22 = 4, so the anwser is 4.
The sum of three consecutive even numbers is 48. Find the three numbers
Answer:
14, 16, 18
Step-by-step explanation:
Three even numbers means they are seperated by a distance of 2
Write this equation
x-2+x+x+2=48
x=16
So the three even numbers are 14, 16, 18
Answer:
14, 16, 18
Step-by-step explanation:
Thats the answer the guy above me is correct
EP6. Abby works at a job that starts out paying $15 per hour. Each year she continues
at the job, she will get a 5% raise. How much will Abby make per hour if she stays at that
job for 30 years?
Answer:
$64.83.
Step-by-step explanation:
Each year the multiplier fffor her new rate will be 1.05.
So after 30 years her hourly rate will be 15 * 1.05^30
= $64.83
6=2s/9 (Solve the equation.)
Answer:
27 = s
Step-by-step explanation:
First multiply both sides by 9. (9)6= 2s(9) turns into 54=2s. Then divide both sides by 2 to find the value for s. 54/2 = 2s/2.
A cylinder with radius 6 centimeters
and height 18 centimeters is shown.
Enter the volume of the cylinder, in cubic centimeters round your answer to the nearest hundredth.
The volume of the cylinder with a radius of 6 cm and a height of 18 cm is calculated, to the nearest hundreth, as: 2035.75 cm³.
What is the Volume of a Cylinder?Volume of a cylinder = πr²h
Given the parameters of the cylinder:
Radius (r) = 6 cmHeight (h) = 18 cmVolume of the cylinder = πr²h = π(6²)(18)
Volume of the cylinder = 2035.75 cm³
Learn more about the volume of a cylinder on:
https://brainly.com/question/9554871
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Will award brainliest for the correct answer!
Answer:
4x³Step-by-step explanation:
8x⁴y⁴ = 4×2×x³×x¹×y⁴ = 4x³×(2xy⁴)
12x³z² = 4×3×x³×z² = 4x³×(3z²)
Then the greatest common factor is of the two terms 8x⁴y⁴ and 12x³z² is:
4x³
Candice and Phoebe are traveling on the same
highway in the same direction. Candice is
traveling at 45 mph and is exactly 40 miles
ahead of Phoebe who is traveling at 55 mph.
How many hours will it take Phoebe to catch
Candice?
Using proportions, it is found that it will take 4 hours for Phoebe to catch Candice.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Given their velocities, and the fact that they travel in the same direction, each hour, Phoebe gets 10 mph closer to Candice.
The initial distance is of 40 miles, 40/10 = 4, hence it will take 4 hours for Phoebe to catch Candice.
More can be learned about proportions at https://brainly.com/question/24372153
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PLEASE I NEED HELP I HAVE NO IDEA WHAT THE ANSWERS ARE
Answer:
Sector AOB: 3.87
Sector BOC: 7.74
Sector COD: 5.16
Sector DOE: 3.01
Sector AOE: 11.19
Explanation:
Equation used: [tex]S=\frac{r^2*a}{2}[/tex]
Two equilateral triangles are similar
A. Always
B. Sometimes
C. never
Answer:
b
Step-by-step explanation:
The AAA Triangle Similarity Postulate asserts that if all of the angles in a triangle are equal to the corresponding angles in another triangle, then those two triangles are equal. Since every equilateral triangle's angles are 60 degrees, every equilateral triangle is similar to one another due to this AAA Postulate.
PLS PLS HELP ME
76. In five successive hours, a car travels 40 km, 45
km, 50 km, 35 km and 55 km. In the next five
hours, it travels with an average speed of 50 km
per hour. Find the total distance the car traveled
in 10 hours.
a. 425 km
b. 450 km
c. 475 km
d. 500 km
Answer:
475 km
Step-by-step explanation:
(40 + 45 + 50 + 35 + 55 km + 50 *5 km)
1 ) Old Navy is offering a 20 % discount on all sweaters. If the regular price of a sweater is $45,what is the sale price?
Answer:
Sale Price = $36
Step-by-step explanation:
To find the sale price, you need to find what 10% of the original price is. 10% of $45 is $4.50. Now we need to find what 20% is, 20% is double 10% so we multiply the answer we got by 2. This equals to $9. The question is asking for the sale price, to find it you have to subtract $9 (the discount) from $45 (regular price). The answer you should get is $36.
Equation:
$45 ÷ 10 = $4.50
$4.50 × 2 = $9
$45 - $9 = $36
Solve the following
A) multiply by 2 both sides, canceling the ÷ by 2
4x - 1 = 2x + 14
+1
4x = 2x +15
-2x
2x. = 15
÷2
x = 7.5
B) mutiply 3 both sides
9x + 6 = 2x + 13
-6
9x. = 2x + 7
-2x
7x. = 7
÷1
x = 1
Hope this helps!
What subset, a, of the sample space represents the complement of the event in which camille is the final swimmer? a = {cba, cab, bca, acb} a = {abc, bac} a = {cba, cab, bac, bca, acb, abc} a = {ab, ba}
Answer:
the first choice :)
Step-by-step explanation:
Answer:
Option A: A = {CBA, CAB, BCA, ACB}
Bombarding plutonium-239 with an alpha particle creates an isotope of curium. balance the equation. 239 94 pu 4 2 he → a b cm c d n identify the values for the unknown letters. a is b is c is d is
Since mass is neither created nor destroyed, the missing items are;
a = 242b = 96c = 1d = 0What is nuclear reaction?The term nuclear reaction has to do with the transformation of one nucleus to another. On this case, we are going to transform P u to c m.
Since mass is neither created nor destroyed, the missing items are;
a = 242b = 96c = 1d = 0Learn more about nuclear reaction: https://brainly.com/question/25455333?
#SPJ4
Answer:
A: 242
B: 96
C: 1
D: 0
Step-by-step explanation:
Find the median of the following numbers.
79, 27, 24, 11, 14, 11
Answer: Median is 19, Mean is 27.666..7
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
Answer:
19
Step-by-step explanation:
fore refrence, heres the data from least to greatest, this is important for this question
11, 11, 14, 24, 27, 79
since the points for this set is even (6 points in the data set) we first need to devide it into two groups at the center
11, 11, 14 and 24, 27, 79
then take the two numbers from the inside ends ((in bold)) and find the average between them, since these are the centermost numbers in the full set
14 + 24 = 38
38 / 2 = 19
therefore the median for the dataset is 19
can 24 divide evenly n2 1240
Answer:
No
Step-by-step explanation:
1240/24 = 51.6
It will give you a decimal so therefore it will not go evenly
the question is in the picture
Answer:
graph B represents the pattern best .
Step-by-step explanation:
hope it will help you
Can anyone help me been stuck for a while
find the vol of this prism
Answer:
V = 396 cm³
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Ah ( A is the area of the triangular face and h the height of prism )
A = [tex]\frac{1}{2}[/tex] bh ( b is base and h perpendicular height )
here b = 9, h = 8 , then
A = [tex]\frac{1}{2}[/tex] × 9 × 8 = 4.5 × 8 = 36 cm² , so
V = 36 × 11 = 396 cm³
PLEASE HELP IM TIMES
Answer:
k = 60°
Step-by-step explanation:
y and z are parallel with each other against x line.
So we can make (2k+11)° = 131° and then solve for k.
2k + 11 = 131°
2k = 131° - 11°
2k = 120°
k = 60°
please help me with this
Answer:
here, hope it helps
Step-by-step explanation:
17. A
18. B
19. A
Suppose you have drawn two cards: 10 of clubs and 4 of hearts. You now draw a third card from the remaining 50. What is the probability that the sum of all three cards is strictly larger than 21
The probability that the sum is strictly larger than 21 is P = 0.46
How to find the probability?
We already have a 10 and a 4, so: 10 + 4 = 14
To sum more than 21, we need to draw at least an 8.
On the deck there are:
6 cards equal or larger than 8 of diamonds.6 cards equal or larger than 8 of clubs.6 cards equal or larger than 8 of spades5 cards equal or larger than 8 of hearts (because we already drew the 10).So, 23 out of 50 cards meet our requirements. So the probability will be:
P = 23/50 = 0.46
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
Find x
Pls help me.
Answer:
109
Step-by-step explanation:
as we can see x is an outer exterior angle and according to its property sum of an interior angle and an outer exterior angle = 180
The interior angle is 40+31 = 71
71 + x = 180
x = 180 -71
therefore x = 109
x+1=5 wat is this pls answer bozo
Answer:
x = 4
Step-by-step explanation:
x + 1 = 5
- 1 -1
5 - 1 = 4
x = 4
the ribbon or each doll is divided into 3 equal pieces.What is the length in yards of each piece
Answer:
1 yard
Step-by-step explanation:
If the ribbon to begin with is 3 yards then if cut in to 3 pieces each peace would be 1 yard.
Divide. Write your answer as a fraction or a mixed number in simplest form. 4 3/4 / 5/6
Answer:
57/10 is the simplest form
Step-by-step explanation:
To divide fractions you need to do the reciprocal rules.
You also need to convert any mixed numbers to improper to make them easier to divide.
4 3/4 and 5/6 are your fractions.
4 3/4 converted into an improper fraction is 19/4
This is because the rule with this is that you take your whole number multiply it by the denominator and take the product and add it to the numerator.
19/4 divided by 5/6.
You need to flip 5/6 to 6/5 due to the reciprocal rules and also change the division sign to a multiplication sign.
19/4 x 6/5
You can multiply straight across!
19 x 6 and 4 x 5
19 x 6 = 114
4 x 5 = 20
Our answer: 114/20
We still need to simplify this answer
We can divide this result into 2/2.
114/20 = 57/10
57/10 is the simplest form. If you were to divide more, you will get involved with decimals.
Answer: 57/10 is the simplest form
Step-by-step explanation:
To divide fractions you need to do the reciprocal rules.You also need to convert any mixed numbers to improper to make them easier to divide.
4 3/4 and 5/6 are your fractions.
4 3/4 conerted into an improper fraction is 19/4
This is because the rule with this is that you take your whole number multiply it by the denominator and take the product and add it to the numerator.
19/4 divided by 5/6.
You need to flip 5/6 to 6/5 due to the reciprocal rules and also change the division sign to a multiplication sign.
19/4 x 6/5
You can multiply straight across!19 x 6 and 4 x 5
19 x 6 = 114
4 x 5 = 20
Our answer: 114/20
We still need to simplify this answer
We can divide this result into 2/2.
114/20 = 57/10
57/10 is the simplest form. If you were to divide more, you will get involved with decimals.