Answers
Answer:
don't know
.....................
Answer:
x = 12
Step-by-step explanation:
Consider three orthogonal triangles (see picture)
1. The smallest triangle
2. The medium triangle
3. The big triangle that holds both triangles.
All are orthogonal (or right triangles) so you can use Pythagoras Theorem:
"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"
Use Pythagoras theorem on triangle 1.
[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]
Now user Pythagoras on triangle 2.
[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]
Now use Pythagoras on triangle 3 (the big triangle).
[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]
Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:
[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]
The two [tex]x^{2}[/tex] get cancelled out, so:
[tex]6x + 9 = 45 + 36\\x = 12[/tex]
TA DA!
Related Questions
8x + y = 17
5x + 5y = –20
Answers
Answer:
X=3 Y=-7
Step-by-step explanation:
You can solve a system of equations a number of ways. Substitution makes the most sense in this case. Take the top equation and set it equal to y making it: y=17-8x
Then substitute y in the bottom equation for the y solved in the top. So,
5x + 5(17-8x) = -20
Then solve for x
x=3
Now that we know x, plug it back into the equation for y
y = 17 - 8(3)
y = -7
So your solution is (3, -7)
Answer:
Step-by-step explanation:
40x + 5y = 85
-5x - 5y = 20
35x = 105
x= 3
15 + 5y = -20
5y = -35
y = -7
(3, -7)
Please solve using dimensional analysis
Answers
Answer:
34^23 (that is 34 to the 23 power)
Step-by-step explanation:
Do 3.4x10^23=34^23
d. If you had a block of each type of wood with the same dimensions, how would their weights compare? Explain.
Answers
Answer:
They would be the same dimensions so the weight should also be the same. For example if you have 3 rectangle boxes dimesions are 4 by 8, let's say the box weighs 32 pounds, then the other two boxes will weigh the same amount too because it is the same dimensions. This is only true for if the same thing is inside each box of, course if there is a toy in one box, a 50- pound weight in the other box, and a steak in the last box, yeah all the boxes will weigh different.
Step-by-step explanation:
5k + (-7) = 13 what does k =
Answers
Answer:
k = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
5k + (-7) = 13
Step 2: Solve for k
Simplify equation: 5k - 7 = 13Addition Property of Equality: 5k - 7 + 7 = 13 + 7Simplify equation: 5k = 20Division Property of Equality: 5k/5 = 20/5Simplify equation: k = 4Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: 5(4) + (-7) = 13Multiply: 20 + (-7) = 13Add: 13 = 13Here we see that 13 does indeed equal 13.
∴ k = 4 is the solution to the equation.
Answer:
Step-by-step explanation:
Here you go mate
PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Step 1
5k+(-7)=13 Equation/Question
Step 2
5k+(-7)=13 Remove parenthesis
5k=20
Step 3
5k=20 Divide 5 from the sides Check (5)(4)=20
answer
4
A scuba diver dove from the surface of the ocean to an elevation of -499 feet at a rate of –10.5 feet per
10
9
minute. After spending 13 minutes at that elevation, the diver ascended to an elevation of -28 feet.
10
1
The total time for the dive so far was 20 minutes. What was the rate of change in the diver's elevation
8
during the ascent? Round your answer to the nearest hundredth.
Answers
I will give brainiest to whoever answers correctly !!
Answers
The following are house prices in Southern California:
$700.000 $580.000 $600.000 $580.000 $800.000 $760.000 $780.000
What is the median house price?
$700.000
$750.000
$685.000
$580.000
Answers
Answer:
The median would be $700.00 dollars
The mean would be $685.71 dollars
The mode would be $580.00 dollars
Step-by-step explanation:
May I have brainiest please I'm trying to level up!
</3 PureBeauty
Answer:
/Its $700.000
Step-by-step explanation:
its the middle number
Where do the lines y = 3x + 5 and y = -2x + 10 intersect?
Answers
9514 1404 393
Answer:
(x, y) = (1, 8)
Step-by-step explanation:
A graphing calculator quickly tells you the point of intersection.
__
You can equate the y-values and solve for x.
3x +5 = -2x +10
5x = 5 . . . . . . . . . add 2x-5
x = 1 . . . . . . . divide by 5
3·1 +5 = y = 8 . . . . substitute for x in the first equation
The point of intersection is (x, y) = (1, 8).
Allen traveled 6 kilometers in 2 hours How many hours does it take Alan to travel 1 kilometer?
Answers
Answer:
1/3
Step-by-step explanation:
6x=2
x= 1/3
Answer:
1 kilo takes 20 minutes
Step-by-step explanation:
6kilo in 2hrs
3kilo in 1 hr
1hr = 60min
3kilo/3 = 1 kilo
60min/ 3 = 20 min
1 kilo * 6 = 6kilo
20min * 6 = 120min ( 2 hours )
Hey please help me! (12 points)
Answers
Answer:
10
Step-by-step explanation:
5×10= 50
6×10=60
8×10=80
so its going by ×10
Answer:
C/10
Step-by-step explanation:
k=y/x
10=50/5
Drag the numbers to create three ratios that are equivalent to 4:12.
Each number may be used once or not at all.
Answers
Answer:
20:60 12:36 2:6
Step-by-step explanation:
The second number is going to be 3 times as big as the first ine
The ratio of men to women working for a company is 4 to 7. If there are 231 employees TOTAL, how many WOMEN work for the company?
Answers
Answer:
Step-by-step explanation:
4:7::4x:7x
4x+7x=231
11x=231
x=231/11=21
women=7x=7×21=147
Decide whether the two equations are equations are equivalent 7v-3/2=5 14v-3=15 sho work
Answers
Answer:
Not equivalent.
Step-by-step explanation:
The given equations are :
7v-3/2=5 ....(1)
14v-3=15 ....(2)
Taking equation (1) first,
7v-3/2=5
Adding 3/2 to both the sides.
7v-3/2+3/2=5+3/2
7v = 6.5
v = 0.928
Taking equation (2).
14v-3=15
Adding 3 to both sides.
14v-3+3=15+3
14v=18
v = 1.285
So, the values of v in both equations ar not the same. It means two equations are not equivalent.
Tires regularly priced at $44 each are on sale for $37. How much would a truck owner save by buying four tires at the sale price?
A. $7
B. $28
C. $49
D. $81
Answers
Answer:
B
Step-by-step explanation:
the truck owner saves 7$ from every tires by buying at the selling price.
In December, a toy store sold 934934 puzzles. Each puzzle cost \$6$6, including tax. What was the total cost of the puzzles sold, including tax?
Answers
Answer:
5609604 OR 11219200
Step-by-step explanation:
i dont know if its 6 plus 6 dollars like 12 or just 6 so yeah
Han checks with another bank and their interest rate is 4%. Based on your answer in question 4, how much longer will he have to leave his money in the account to earn the same amount of interest as the first bank?
Answers
Answer:
Does Anyone Know how to do this?
Step-by-step explanation:
HELP PLS ASAP 50 POINTS YOU CAN SAVE MY GRADE PLS
Evaluate the expression below when x = 5.
3x(2x - 7)
A.) 0
B.) 24
C.) 45
D.) 143
Answers
Answer:
45
Step-by-step explanation:
[tex]3(5)(2 \times 5 - 7) \\ 15(10 - 7) \\15 \times 3 = 45[/tex]
3(5)(2x5-7)
15(10-7)
15x3=45
Which of the following graphs best represents y=(x+1)(x-4)
Answers
The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 other employees of Company B. The eight people line up in a random order to take a photo. Every way of lining up the people is equally likely.
(a) What is the probability that the general manager is next to the vice president?
(b) What is the probability that the marketing director is in the leftmost position?
(c) Determine whether the two events are independent. Prove your answer by showing that one of the conditions for independence is either true or false.
Answers
Solution :
Let the three places be 1, 2, 3, 4, 5, 6, 7, 8
a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2
= 14
[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]
Therefore the required probability is
[tex]$=\frac{14}{8!}$[/tex]
= [tex]$\frac{14}{40320} = 0.000347$[/tex]
b). The probability that the marketing director to be placed in the leftmost position is
[tex]$=\frac{7!}{8!}$[/tex]
[tex]$=\frac{1}{8} = 0.125$[/tex]
c). The two events are not independent because
[tex]$P(A \cap B) \neq P(A) \times P(B)$[/tex]
[tex]$\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$[/tex]
where A is the case a and B is the case b.
(a) The possibility of the general manager is next to the vice president is [tex]\frac{1}{4}[/tex].
(b) The possibility of the marketing director is in the leftmost position is [tex]\frac{1}{8}[/tex].
(c) So, the two events are dependent on each other.
Probability:
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it. The probability of all the events in a sample space adds up to 1.
Total people in company A and company B is [tex]=8[/tex]
Overall ways in which these [tex]8[/tex] people can be lined up[tex]=8![/tex]
[tex]=40320[/tex]
(a) The probability that the general manager is next to the vice president is[tex]=P(A)[/tex]
Now, we can combine the general manager and vice president as one, then the total people in both the company will become [tex]7[/tex].
by arranging these [tex]7[/tex] people in one line [tex]=7![/tex]
[tex]=5040[/tex]
Again, combine the general manager and vice president in one line[tex]=2![/tex]
[tex]=2[/tex]
Therefore, [tex]P(A)=\frac{5040\times 2}{40320}[/tex]
[tex]=\frac{10080}{40320}[/tex]
[tex]P(A)=\frac{1}{4}[/tex]
(b) The probability that the marketing director is in the leftmost position is[tex]=P(B)[/tex]
Now, fixing the position of marketing director in the leftmost.
arranging the [tex]7[/tex] other people in [tex]7![/tex] ways [tex]=5040[/tex]
Therefore,[tex]P(B)=\frac{5040}{40320}[/tex]
[tex]=\frac{1}{8}[/tex]
[tex]P(B)=\frac{1}{8}[/tex]
(c) Assuming event B already occurred which means that the position of marketing director is already fixed in the leftmost position.
Now, trying to find out the probability of the general manager next to the vice president is event A. it comes different because we are not allowed to arrange rest [tex]7[/tex] people, we have to fix the position of one person that causes the repetition of probability.
So, the two events are dependent on each other.
Learn more about the topic of Probability: https://brainly.com/question/26959834
You randomly draw one card from a standard deck of 52 playing cards. What are the odds that it is a diamond?
Answers
You decide to get an estimate on the cost of repairs for the green food truck
The mechanic explains that the cost of the repairs comes out to be about
$9,500. This price includes the cost of labor and the cost of the parts needed
to do the repairs. If labor costs are 3/5 the cost of the parts, how much
would you save by doing the repairs yourself and just purchasing the parts?
Answers
Answer:
$3562.50
Step-by-step explanation:
If the cost ratio is ...
labor : parts = 3/5 : 1 = 3 : 5
then the ratio of labor to the whole cost is ...
labor : total = 3 : (3+5) = 3 : 8
The amount saved by not paying for labor is ...
(3/8) × $9500 = $3562.50 . . . labor charge
An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, how high is the roof in the drawing?
9.19 inches.
5.2 inches.
8.13 inches.
19.23 inches.
Please help!!!
Answers
Answer:
5.2
Step-by-step explanation:
I took the Quiz.
If An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, then the roof is 8.13 high in the drawing.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
Based on the given conditions formulate 1.25÷10=1+x
If the fraction is defined, the denominator cannot equal 0,x≠0
Append the inequality as the domain x≠0
Multiply both sides by the common denominator:
1.25×10x/10=10x/x
Reduce the fractions: 5x/4=10
5x=40
x=8
It is approximately near to 8.13 inches.
Hence, 8.13 inches high is the roof in the drawing.
To learn more on fractions click:
https://brainly.com/question/10354322
#SPJ2
PRE CALC HELP!!! 100 PTS AND BRAINLIEST
(the one I chose isn't correct I just accidentally pressed it)
Answers
Hello!
[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]
To begin, we can solve the inequality:
sin(x) > cos(x)
Divide both sides by cos(x):
sin(x) / cos(x) > 1
tan(x) > 1
x > π/4
However, we can also solve it the other way to produce the end to the interval:
sin(x) > cos(x)
1 > cot(x)
x < 5π/4
Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.
Answer:
π/4 < x < 5π/4.
Find the domain and range of: {(-2,0), (-1,1), (0,2),(1,3)}
Answers
Answer: domain: {-2, -1, 0, 1}
range: {0, 1, 2, 3}
The area of a rectangular skate park is 6/11 square miles. The length of the
skate park is 3/5 mile. What is the width, in miles, of the park?*
Answers
Answer:
The answer to your question is 150 ft
Process
1.- Find the area of the city skate park
2.- Find the equation of the area of the new city skate park.
3.- Find the value of "x",
1.- Area = length x width
Area = 100 x 50
= 5000 ft²
2.- (100 + x) /50 + x) = 15000
x² + 150x + 5000 = 15000
x² + 150x + 5000 - 15000 = 0
x² + 150x - 10000 = 0
Factor the equation
(x + 200)(x - 50) = 0
x₁ = -200 x₂ = 50 Length can not be negative so the answer is
50.
New length = 100 + 50 = 150 ft
Slope-Intercept Form of 3x – 4y – 16 = 0
Answers
Answer:
Y= 3/4x - 4
Step-by-step explanation:
Hey there!
The answer to your question is y = 3/4x - 4
We have to solve for y:
3x - 4y - 16 = 0
3x - 4y = 16
-4y = -3x + 16
y = 3/4x - 4
Hope it helps and have an amazing day!
Choose the equation that represents the graph below:
A) Y= -2x-6
B) Y= 2/3x+6
C) Y= -2/3x+6
D) Y= 2x+6
Answers
Answer: C
Step-by-step explanation:
The slope is
[tex]\frac{2-6}{6-0}=-\frac{2}{3}[/tex]
This eliminates all the options except for C.
Which of the following is equivalent to (16^3/2)^1/2
1.6
2.8
3.12
14.64
Answers
Answer:
8
Step-by-step explanation:
Hope this is helpful!
Hope this helps buddy
What is 2+2 I’m during to know...
Answers
Answer: 4
Step-by-step explanation: Good luck! :D
Answer:
4
Step-by-step explanation:
You start a bank account with $50. Each week after that, you deposit $12. How many weeks will it take to have
$230 in the account?
A. 15
B. 8
C. 24.3
D. 10
Answers
Answer:
15 (A)
A is the legit answer.