Step-by-step explanation:
The 1st rectangle
16 *7=112
next triangle
find details
13-7=6
16-8=8
6*8
48÷2
24+112
136
A test has five questions. To pass the test, at least three of the questions must be answered correctly. question ----> Find the probability that Mark guesses 4 questions correctly.
Answer:
1/5
Step-by-step explanation:
Total Question no. 5
Three must be answer correctly so 3/5 to pass
and 2/5 to fail
So 1/5 because to pass the test he can answer it correctly only one time
At a sale, coats were sold for $10 each. If the coats originally cost $20 each, what percentage of its original price was a coat sold for?
Answer: 50%
Step-by-step explanation:
10/20×100=50%
Answer:
50
Step-by-step explanation:
write this as a simplified expression. if you want to write the rules so that i could later figure out this problem later :)
Answer:
4x - 2
Step-by-step explanation:
Perimeter of triangle
[tex] =( 2x - 5) + (3x - 2) +( 5 - x) \\ = 2x + 3x - x - 5 - 2 + 5 \\ = 5x - x - 2 \\ = 4x - 2[/tex]
It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars each. If Tyra buys 20 tickets, how much would it cost her for the fair?
Answer:
12 + 20d
Step-by-step explanation:
OG fare = 12
Ticket price =d
20 Tickets =20d
Please prove this!!!!
Answer: see proof below
Step-by-step explanation:
Use the following Sum/Difference Identities:
sin(A + B) = sin A · cos B + sin B · cos A
sin(A - B) = sin A · cos B - sin B · cos A
Use the following Half-Angle Identities:
[tex]\sin\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1-\cos \theta}}{\sqrt2}\\\\\\\cos\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1+\cos \theta}}{\sqrt2}[/tex]
[tex]\text{Use the Unit circle to evaluate:}\ \cos\dfrac{\pi}{4} = \sin\dfrac{\pi}{4} = \dfrac{\sqrt2}{2}[/tex]
Use the following side work:
[tex]\sin\bigg(\dfrac{\pi}{8}\bigg)=\sin\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1-\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2-\sqrt2}}{2}\\\\\\\cos\bigg(\dfrac{\pi}{8}\bigg)=\cos\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1+\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2+\sqrt2}}{2}[/tex]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \qquad \qquad \sin^2\bigg(\dfrac{\pi}{8}+\dfrac{A}{2}\bigg)-\sin^2\bigg(\dfrac{\pi}{8}-\dfrac{A}{2}\bigg)\\\\\text{Sum/Difference Identity:}\qquad \bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}+\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2\\\\.\qquad \qquad \qquad\qquad \qquad \quad -\bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}-\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2[/tex]
[tex]\text{Expand and Simplify:}\qquad \quad 4\sin \dfrac{\pi}{8}\cdot \cos\dfrac{A}{2}\cdot \sin \dfrac{A}{2}\cdot \cos \dfrac{A}{2}\\\\\\\text{Substitute:}\qquad \qquad \qquad 4\bigg(\dfrac{\sqrt{2-\sqrt2}}{2}\bigg)\cdot \cos \dfrac{A}{2}\cdot \sin \dfrac{A}{2}\bigg(\dfrac{\sqrt{2+\sqrt2}}{2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \sqrt2\cos \bigg(\dfrac{A}{2}\bigg)\cdot \sin \bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Half-Angle Identity:} \quad \sqrt2\bigg(\dfrac{\sqrt{1+\cos A}}{\sqrt2}\bigg)\bigg(\dfrac{\sqrt{1-\cos A}}{\sqrt2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \dfrac{\sqrt{1-\cos^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sqrt{\sin^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sin A}{\sqrt2}[/tex]
[tex]\text{LHS = RHS:}\quad \dfrac{\sin A}{\sqrt2} = \dfrac{\sin A}{\sqrt2}\quad \checkmark[/tex]
i have to find the sides of the angles on this photo
Step-by-step explanation:
may be those can be QT and QN
how would one go about solving this graph?
Density = Mass / Volume, so you could use that information to solve for each value in the graph.
2. Mass = Density * Volume = 8.07 * 1.04 = 8.59 g
3. Volume = Mass / Density = 8.26 / 8.10 = 1.02 mL
4. Density = Mass / Volume = 7.91 / 0.99 = 7.99 g/mL
5. Mass = Density * Volume = 8.05 * 0.98 = 7.89 g
6. Volume = Mass / Density = 8.53 / 8.05 = 1.06 mL
The graph below shows y = b(x). image c138745352264c59babfe805822b4e5e Which statement BEST describes the graph? A The graph shows a function because it has an x-intercept and a y-intercept. B The graph does not show a function because the range of the graph is not all real numbers. C The graph shows a function because each element of the domain is assigned to exactly one element of the range. D The graph does not show a function because many elements of the domain are assigned to the same element of the range.
Answer:
C The graph shows a function because each element of the domain is assigned to exactly one element of the range.
Step-by-step explanation:
A The graph shows a function because it has an x-intercept and a y-intercept.
- Incorrect as functions are not x- and y- intercept only
B The graph does not show a function because the range of the graph is not all real numbers.
- Incorrect as the range is all real numbers
C The graph shows a function because each element of the domain is assigned to exactly one element of the range.
- Correct, this is the definition of a function
D The graph does not show a function because many elements of the domain are assigned to the same element of the range.
- Incorrect as per previous statement
1
Is the value of -6 -6 POSITIVE, NEGATIVE, or ZERO?
Answer:
Negetive
Step-by-step explanation:
It helps to re-write.
-6 + -6 is the same as -6 -6
-6 + -6 = - 12
It would be different if these were multiplied together, but AS WRITTEN, they are subtracted. If it was (-6)(-6) or -6(-6) that would indicate multiplication as well.
The answer is negative.
Yesterday morning, the temperature was -11°F. The temperature increased 7°F by noon and then decreased 4°F by nightfall. What was the temperature at nightfall last night?
Answer:
1
Step-by-step explanation:
1
Find any 5 rational numbers between; a) -1 and 2 b) −3 8 −5 14
Answer:
Step-by-step explanation:
Hello,
You can list the following ones which are correct for a), b) and c)
[tex]\boxed{\sf \bf \ \ 1, \dfrac{1}{2}, \dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5} \ \ }[/tex]
Thanks
A cart starting from rest travels a distance of 12.7 meters in 3.6 seconds. The average speed of the cart is
Select one:
a. 3.5 m/s
b. 0.3 m/s
C. 45.7 m/s
d. 16.3 m/s
Answer:
A
Step-by-step explanation:
12.7 meters divided by 3.6 seconds is 3.527 round it up and it stays 3.5 m/s
The average speed of the cart is: 3.5 m/s
The correct option is (A).
What is Average speed?The average speed is the total distance traveled by the object in a particular time interval.
Given:
distance = 12.7m, time= 3.6 seconds
Average speed will be,
= Distance/time
=12.7/3.6
=3.522 m/s
Hence, the average speed is 3.522 m/s.
Learn more about average speed here:
https://brainly.com/question/12322912
#SPJ2
Another way to write g(h(x))
Answer:
(gOh)(x) on edg 2020
Step-by-step explanation:
Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y
Answer:
8x^2 + 5y + 1
Step-by-step explanation:
1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y
group like terms
= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 5y + 1 - 3 + 3
= 8x^2 + 5y + 1
Answer:
[tex]\Huge \boxed{8x^2 +5y+1}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]1+x^2-3+2y+7x^2+3+3y[/tex]
Grouping like terms.
[tex]7x^2 +x^2+2y +3y +3+1 -3[/tex]
[tex](7x^2 +x^2)+(2y +3y) +(3+1 -3)[/tex]
Combining like terms.
[tex]8x^2 +5y+1[/tex]
[tex]\rule[225]{225}{2}[/tex]
Micha washed a car in 20 minutes. At this rate, how many hours would it take to wash 9 cars?
Answer:
3 hours
Step-by-step explanation:
he washed one car in 20 minutes so 9 cars will be 20 x 9=180minutes which is 3 hours
In the text box below, write a brief summary about the similarities and differences between Inequality Notation, Set-Builder Notation, and Interval Notation.
Answer and Step-by-step explanation:
Differences:
Interval notation is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example set of all real numbers can be described in interval notation as 0 ≤ x ≤1. Interval notation press the solution set to equality, and it is important to express solution sets in calculus. Set builder notation is a mathematical notation for describing a set by its elements, and their member satisfies' properties.It describes the elements of a set instead of listing the element. For example the set {1, 2, 3, 4, 5, 6, 7, 8, 9} is written in builder notation will be {x/x is a counting number less than 10}.Inequality notation is a relation that makes a non equal comparison between two numbers. Set are also defined by using some inequalities like >, <, ≤, ≥. These are called inequality notations.
Similarities:
The purpose of inequality notation, set builder notation, and interval notation is the same because these notations used to describe a set and the characteristics of each element of a set. When a set is representing in set builder notation, it defines characteristics of elements. If the set is represented in interval notation, we need to know the upper and lower bound set. In inequality notation, the set is described by the graph on a number line.
Please help me if you can..
Melissa and Rachel like to make funny hats. Melissa has made 202020 zebra-printed hats, and Rachel has made hhh striped hats. Together they have made a total of 424242 hats. Write an equation to describe this situation.
Answer:
42= 20 +hStep-by-step explanation:
Given from the problem statement
Melissa has made 20 zebra-printed hats
and Rachel has made h amount of striped hats
and also the total amounts of hats made by both of them is 42 hats
We can write a simple equation for the scenario as
[tex]42= 20 +h[/tex]
We can solve the equation to know the amount of hats made by Rachel
[tex]42= 20+h\\\\h= 42-20\\\\h= 22[/tex]
Hence Rachel has made 22 hats
ALG II NEED HELP QUICK! Will mark the brainliest answer
$9.40 per hour times 22 hours round to the nearest cent
Answer:
The answer is 206.8. But you want me to round to the nearest cent so the real answer is $207.00
Step-by-step explanation:
Mary's bank account was overdrawn by
$21. If she deposits $60, find the new
balance.
Answer:
39
Step-by-step explanation:
If her bank account is overdrawn, that means that it has a negative balance. This means that without the $60, she has -$21 and once she deposits the $60, twenty one of the 60 will be subtracted
Answer: The answer is 39
Step-by-step explanation: -21+60=49
hope you like it :)
Help with brothers math homework?I can't help because I forgot how to do this
Answer:
See below.
Step-by-step explanation:
The range of a graph is the span of y-coordinates the graph covers.
From the graph, we can see that the graph covers all y-values between the values of y=-8 and y=7.
Therefore, the range is all of the numbers in between them including them.
In interval notation, this is:
[tex][-8,7][/tex]
We use brackets instead of parentheses because we include the numbers.
And in set notation, this is:
[tex]\{y|-8\leq y\leq 7\}[/tex]
Answer:
Hey there!
The range is the possible y values.
Thus, we see here that the range is all numbers from -8 to 7.
Let me know if this helps :)
Three times a number is equal to the sum of half the number and 30. What is the number?
Answer:
12.
Step-by-step explanation:
3x = 0.5x + 30
2.5x = 30
x = 30 / 2.5
x = 12
A bag contains 6 red marbles, 2 green, and 4 blue marbles. You randomly pick a marble and then pick a second marble, returning the marbles to.the bag each time. What is the probability of pulling a blue marble first and then a red marble.second?
Answer:
Probability of pulling a blue marble is 1/3 about 33% chance
Probability of pulling a red marble is 1/2 = 50% chance
Step-by-step explanation:
Total marbles = 6+2+4 = 12
4 of those 12 are blue
4/12=1/3 when reduced
________________________
Total marbles are still = 12
6 of the 12 are red
6/12=1/2 when reduced
Hope this helps! :)
Pete earns $8.50 per hour plus tips. On Tuesday, he received $16 in tips. How many hours did Pete work if he earned a total of $50 on
Tuesday?
Answer:
4 hours .
Step-by-step explanation:
4x8.50=34
34 + 16=50
Answer:
He worked 4 hours i think
Step-by-step explanation:
Take 50 and subtract his tips ($16)
then divide your answer by how much he makes an hour ($8.50)
Suppose the average yearly salary of an individual whose final degree is master's is $40 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $110 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
x=50000 dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollarsstep by step explanation :let x be the salary of individual with bachelor degree
Then the average salary of individual with Masters degree is:
(2x-40000)
the combined of two salaries is 110000:
x+(2x-40000)=110000
3x-40000=110000
3x=110000+40000
x=150000/3
x=50000 dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollarssolve for x 4(2x+9)=-44+8
The diagonal of a square is 4 cm. Find its ar
ea.
Answer:
Area of square= d²/2
= 4²/2
= 16/2
= 8cm²
Step-by-step explanation:
A=
[tex]a {?}^{2} [/tex]
d=
[tex] \sqrt{2a} [/tex]
we can find A.USE THIS FORMULA
A =1/2 d squared
so 1/2×4 squared=8
8 is the answer
Mrs. Zhang's bee farm has a population that is about 1 tenth as large as Mr. Doyle's bee farm. If Mrs. Zhang's bee population is about 46,000, about how many bees does Mr. Doyle have?
Answer:
Mr. Doyle has 460000 bees
Step-by-step explanation:
We are told that Mrs. Zhang's bee farm has a population that is about 1 tenth as large as Mr. Doyle's bee farm.
Thus;
Population size of Mrs. Zhang's bee farm = 1/10 × population size of Mr. Doyle's bee farm
Now, we are given that Mrs. Zhang's bee population is about 46,000.
Thus, from the earlier equation, we have;
46000 = 1/10 × population size of Mr. Doyle's bee farm
Thus, when we multiply both sides by 10,we get;
population size of Mr. Doyle's bee farm = 46000 × 10 = 460000 bees
Multiply.
(9√3+√5)(9√3+√5)
Simplify your answer as much as possible.
Answer:
[tex]248 + 18\sqrt{15}[/tex]
Step-by-step explanation:
[tex](9\sqrt{3}+\sqrt{5} )(9\sqrt{3}+\sqrt{5} )=(9\sqrt{3}+\sqrt{5} )^2[/tex]
[tex]81 \cdot 3 + 2\cdot 9\sqrt{3} \cdot \sqrt{5} + 5[/tex]
[tex]243 + 18\sqrt{15} + 5[/tex]
[tex]248 + 18\sqrt{15}[/tex]