Answer:
20 cm²
Step-by-step explanation:
Area of the square = 2cm * 2cm = 4 cm²
Area of All triangles = (4cm * 2cm) ÷ 2cm * 4cm = (4cm * 2cm) * 2cm = 16 cm²
Total Area = 4 cm² + 16 cm² = 20 cm²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
3/8
There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
red marbles
Step-by-step explanation:
Since the formula is;
Probability = number of required outcome
_______________________
number of possible outcome
3/8. = x/56
8x. = 168
x. 21 ( number of blue marbles)
Therefore if the total marbles = 56 and 21 of the marbles are blue then to get the red marbles
= 56 - 21
= 35
PLEASE HELP! Given the inequality y<3x+3, which statement is correct about the graphical solution?
A. Shading should go below a solid line.
B. Shading should go above a dashed line.
C. Shading should go below a dashed line.
D. Shading should go above a solid line.
Answer:
C. Shading should go below a dashed line
Step-by-step explanation:
y <
Y is less than. So, shade below where all the numbers are less than
And because it's NOT [tex]\leq[/tex] or [tex]\geq[/tex] , its dotted. Meaning the solutions are not on the line.
There are 35 times as many students at Wow University as teachers. When all the students and
teachers are seated in the 8544 seat auditorium, 12 seats are empty. How many students attend
Wow University?
Given:
There are 35 times as many students at Wow University as teachers.
When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty.
To find:
The total number of students.
Solution:
Let x be the number of teachers at Wow University. So, the number of student is :
[tex]35\times x=35x[/tex]
When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty.
[tex]x+35x=8544-12[/tex]
[tex]36x=8532[/tex]
[tex]x=\dfrac{8532}{36}[/tex]
[tex]x=237[/tex]
The number of total students is:
[tex]35x=35(237)[/tex]
[tex]35x=8295[/tex]
Therefore, the total number of students is 8295.
need a help!!!
I need the answer only for the c part
Please help!!
Please answer correctly
Step-by-step explanation:
316 days when you get the idea the most important thing is that the people who are looking for the right reasons why you
What is best buy £3.99 5kg or 3.2kg £2. 60?
Answer:
I would say 5 kg because you get more kg with a little bit more money added
Given 2n-1 x 8^n = 2048, find the value n.
Drag each shape to the correct category. Identify which shapes are similar to shape A and which are not.
lines b and c are parallel. no links.
Answer:
Value of x:
[tex]{ \tt{(13x + 9) + (5x + 9) = 180 \degree}} \\ { \tt{18x + 18 = 180 }} \\ { \tt{18x = 162}} \\ { \tt{x = 9}} \\ [/tex]
Angle m‹6:
[tex]{ \boxed{ \tt{m \angle6 = (5x + 9) \degree}}} \\ { \tt{m \angle6 = (5 \times 9) + 9}} \\ { \tt{m \angle6 = 54 \degree}}[/tex]
Answer:
B. 54 degrees
Step-by-step explanation:
Set up an equation that equals 180 degrees because a line is 180 degrees:
(13x+9)+(5x+9)=180
Solve for x:
x=9
Substitute 9 in 5x+9:
5(9)+9
Solve.
54
Since angle 6 is complementary, it is the same as the 7th angle.
So the answer is B, 54 degrees.
Hope this helps!
Please answer fast!!!!!
Explain the steps you would use to solve the equation. Find the solution.
8^2x=4096
Answer:
x = 2
Step-by-step explanation:
note that 4096 = [tex]8^{4}[/tex] , then
[tex]8^{2x}[/tex] = [tex]8^{4}[/tex]
Since bases on both sides are equal, both 8 , then equate the exponents
2x = 4 ( divide both sides by 2 )
x = 2
Answer:
x = 2
Step-by-step explanation:
[tex]8^{2x} = 4096[/tex]
Step 1 :- Write 4096 in the exponential form with the base of 8.
[tex]8^{2x} = 8^4 [/tex]
Step 2 :- Since the base of both equation is same , set the exponents equal.
2x = 4
Step 3 :- Divide both side by 2
[tex]{2x}{2} = \frac{4 }{2}[/tex]
x = 2
For the inverse variation equation P= 8/v , what is the value of V when p = 4?
1/8
1/2
2
32
Answer:
V = 2
Step-by-step explanation:
P = 8/v
4 = 8/v
8/4 = 2
v = 2
Answer:
v=2
Step-by-step explanation:
p=8/v
When p = 4, 4=8/v
We multiply both sides by v, we get:
4v=8
Now we divide both sides by 4,
v=2
Question 7 of 10 What is the slope of the line shown below? A. 2 B.-2 C.4 D.-4
Answer:
C. 4
Step-by-step explanation:
Use the slope formula y2-y1 / x2-x1
6+2/3-1
8/2
4
So, the answer is C. 4.
Help pls it’s the last day of summer school
PLISSSSSSSS HELPPPPP!!!!!!!!!!!!!!!!!!!!!
I will give brainliest............
please I need answer right now pleasssseee
Find the lowest common multiple of
A. 12,18,36
B. 9,27,18
please plz plz
Answer:
1.)36
2.)54
Step-by-step explanation:
sana po makatulong gehehe
1.8 divided by 1,008 I have to have it by tomorrow please help ! And also I have to show all the work so please help me
Answer:
Step-by-step explanation:
1,008/1.8=10,080/18
18)10080(560
90
-
----------
108
108
-
------------
0
---------------
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 60.6°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{IJ}{HI}[/tex] = [tex]\frac{3.9}{2.2}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{3.9}{2.2}[/tex] ) ≈ 60.6° ( to the nearest tenth )
15< 4 + x
O A. x>11
O B. X> 19
O C. x< 19
O D. x< 11
Answer:
A. x>11
Step-by-step explanation:
15 < 4 + x
take 4 to the LHS this becomes 15 - 4 < x
•°• 11 < x
< means less than
Therefore x is greater than 11
x > 11
2√4^3
find the rationalizing factor
Hello!
2√4³ =
2 × √4 ³ =
2 × 2³ =
2 × 8 = 16
Good luck! :)
I didn't get how you wrote 1.75 like how did it come there?
Answer:
Uhh what??
Step-by-step explanation:
Do you mean like 1.75 in a decimal form??
A basketball court measures 998 inches on the sides while the baseline stretches 700 inches. There is a circle in the middle of the court that has a diameter of 72 inches. The team can fit 14 people in the circle at one time. How many people can fit on a court?
698,600 people
50,000 people
1296 people
2402 people
Answer:
2402 people.
Step-by-step explanation:
Since a basketball court measures 998 inches on the sides while the baseline stretches 700 inches, and there is a circle in the middle of the court that has a diameter of 72 inches, and the team can fit 14 people in the circle at one time To determine how many people can fit on a court, the following calculation must be performed:
Area of a circle:
3.14 x (72/2) ^ 2 = X
3.14 x 36 ^ 2 = X
3.14 x 1.296 = X
4,069.44 = X
Area of a rectangle:
998 x 700 = X
698,600 = X
4,069.44 / 14 = 290.67
698,600 / 290.67 = 2,402
If EF = 117 , FG = 100, EG = 94, IJ = 40 , and HJ = 37.6 , find the perimeter of HIJ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer:
124.4
Step-by-step explanation:
Perimeter of ∆HIJ = IJ + HJ + HI
IJ = 40
HJ = 37.6
HI = ?
Let's find HI
∆HIJ and ∆EFG are similar. Since they have equal corresponding angles. Therefore, the ratio of their corresponding sides would be equal.
Thus:
EF/HI = FG/IJ
EF = 117 (given)
HI = ?
FG = 100 (given)
IJ = 40 (given)
Plug in the values
117/HI = 100/40
117/HI = 2.5
117 = HI*2.5
117/2.5 = HI
HI = 46.8
✔️Perimeter of ∆HIJ = IJ + HJ + HI
= 40 + 37.6 + 46.8
= 124.4
find area of the figure
thanks for any help
Answer:
8050 m²
Step-by-step explanation:
We can divide the diagram up into two components: a rectangle with a width of 60 m and a height of 80 m, and a triangle with a base of 130 m (190 - 60) and a height of 50 m (80 - 30).
The area of the rectangle:
A = lw
A = 60 m (80 m)
A = 4800 m²
The area of the triangle:
A = 1/2 b*h
A = 1/2 (130 m) (50 m)
A = 1/2 (6500 m²)
A = 3250 m²
Now, we can add the areas of the two separate components:
A = 4800 m² + 3250 m²
A = 8050 m²
A certain forest covers an area of 3600km^2. Suppose that each year this area decreases by 6%. What will the area be after 8 years?
Answer:
= 1728km2
Step-by-step explanation:
From the formula A = PRT/100%
Where; A is final
P is initial
T is time taken
R is the rate
Therefore A = 3600 × (6/100) × 8
= 1728km2
A7. Charlie sales wristbands to earn extra money. She charges $7 per wristband for material and $2.00 per hour to make
unique gifts. How much would two wristbands cost together if one takes her an hour and a half to make one and two
hours to make the other one?
Answer:
$21
Step-by-step explanation:
Find the cost of the wristband that took an hour and a half to make:
2(1.5) + 7
= 10
Find the cost of the one that took 2 hours to make:
2(2) + 7
= 11
Add together the prices:
10 + 11
= 21
So, it will cost $21
A researcher is curious about the average IQ of registered voters in the state of Florida. The entire group of registered voters in Florida is an example of a ______.
Answer:
Population
Step-by-step explanation:
A population can be defined as the total number of living organisms living together in a particular place and sharing certain characteristics in common.
A sample survey is a statistical method used for the collection of data from a target population in order to draw an inference and reach a logical conclusion.
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
In this scenario, the entire group of registered voters in Florida is an example of a population.
A salesman receives a salary of 250 a month. To this is added 5/4% of the sales that he makes. what is his pay for a month in which he makes 1500 in sales.
Answer: $268.75
Step-by-step explanation:
First, find the amount he earned from his sales:
5/4% = 1.25% =0.01251500(0.0125) = $18.75
Next, add that to his monthly salary:
$250 + $18.75 = $268.75
family of solutions of the second-order DE y y 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. 12. y(1) 0, y(1) e
Answer:
[tex]y = \frac{1}{2}e^x -\frac{1}{2} e^{2-x}[/tex]
Step-by-step explanation:
Given
[tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]y(1) = 0[/tex]
[tex]y'(1) =e[/tex]
Required
The solution
Differentiate [tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]y' = c_1e^x - c_2e^{-x}[/tex]
Next, we solve for c1 and c2
[tex]y(1) = 0[/tex] implies that; x = 1 and y = 0
So, we have:
[tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]0 = c_1 * e^1 + c_2 * e^{-1}[/tex]
[tex]0 = c_1 e + \frac{1}{e}c_2[/tex] --- (1)
[tex]y'(1) =e[/tex] implies that: x = 1 and y' = e
So, we have:
[tex]y' = c_1e^x - c_2e^{-x}[/tex]
[tex]e = c_1 * e^1 - c_2 * e^{-1}[/tex]
[tex]e = c_1 e - \frac{1}{e}c_2[/tex] --- (2)
Add (1) and (2)
[tex]0 + e = c_1e + c_1e + \frac{1}{e}c_2 - \frac{1}{e}c_2[/tex]
[tex]e = 2c_1e[/tex]
Divide both sided by e
[tex]1 = 2c_1[/tex]
Divide both sides by 2
[tex]c_1 = \frac{1}{2}[/tex]
Substitute [tex]c_1 = \frac{1}{2}[/tex] in [tex]0 = c_1 e + \frac{1}{e}c_2[/tex]
[tex]0 = \frac{1}{2} e+ \frac{1}{e}c_2[/tex]
Rewrite as:
[tex]\frac{1}{e}c_2 = -\frac{1}{2} e[/tex]
Multiply both sides by e
[tex]c_2 = -\frac{1}{2} e^2[/tex]
So, we have:
[tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]y = \frac{1}{2}e^x -\frac{1}{2} e^2 * e^{-x}[/tex]
[tex]y = \frac{1}{2}e^x -\frac{1}{2} e^{2-x}[/tex]
A matrix derived from a system of linear equations (each written in standard form with the constant term on the right) is the ---Select--- matrix of the system.
Answer:
augmented
Step-by-step explanation:
In the field of linear algebra, the augmented matrix is defined as the matrix that is [tex]\text{obtained by appending}[/tex] the given columns of any two given matrices, that is usually for the [tex]\text{purpose of performing the same elementary row operations on each of the given matrices. }[/tex]
Here, each row forms an equation having a constant and the column have the coefficients for the single variable.
Thus an augmented matrix is obtained from a system of linear equation in matrix.
help me pls i don't get thisggg
Answer:
9. A. 2
Rectangle R:
Length = LWidth = WRectangle S:
Length = 2LWidth = 2WRectangle Area:
Rectangle R = L · W
Rectangle S = 2L · 2W = 2(L · W)
10. A. (1, 3)
y = x + 2y = -2x + 5x + 2 = -2x + 5
x + 2x = 5 - 2
3x = 3
x = 1
y = x + 2 = 1 + 2 = 3
(d) Statement one: Two adult tickets and three children tickets cost $43.00
Statement two: One adult ticket and one ticket for a child cost $18.50
(i) Let x represent the cost of an adult ticket and y the cost of a ticket for a child.
Write TWO equations in x and y to represent the information. (2mks)
(ii) Solve the equation to determine the cost of an adult ticket
Answer:
The cost of an adult ticket is $12.50
Step-by-step explanation:
The given information are;
The cost of two adult tickets and three children tickets = $43.00
The cost of one adult ticket and one child ticket = $18.50
Whereby the cost of an adult ticket is represented by x and the cost of a child's ticket is represented by y, we get the following two simultaneous equations;
2·x + 3·y = 43.00...(1)
x + y = 18.5...(2)
(ii) Multiplying equation (2) by 2 and subtracting the result from equation (1) gives;
2·x + 3·y - 2×(x + y) = 43 - 2×18.5 = 6
2·x - 2·x + 3·y - 2·y = 0 + y = 6
∴ y = 6
The cost of each the children ticket = $6.00
From equation (2), where y = 6, we get;
x + y = 18.5
∴ x + 6 = 18.5
x = 18.5 - 6 = 12.5
The cost of an adult ticket, x = $12.50.