Step-by-step explanation:
1. ∆AEB is similar to ∆ADC
L EAB = L DAC
L AEB = L ADC
L ABE = L ADC
2. AE/AD = AB/AC = EB/DC
=> 8/(8+5) = 6.5/AC
8/13 = 6.5/AC
8AC = 13×6.5
AC = 84.5/8
AC = 10.5625
BC = AC -AB
= 10.5625 - 6.5
BC = 4.0625
Four times a number less 7 is equal to 12 more than two times that number
Answer:
the number you're looking for is 9.5
Step-by-step explanation:
4x-7 = 12+2x
2x-7 = 12
2x = 19
x = 9.5
What is the answer I need help ASAP be truthful
Answer:
your closest number should be A
Answer:
A.√99
Step-by-step explanation:
10^2 = 100
Or vise versa √100 = 10
The closest number to 100 is 99
So √99 is closest to 10
Helen determined she walks about 1,800 steps per 5 of a mile. How many steps did she take if she walked 5 miles?
Answer: Most likely 6,750 steps
help plsssssssssssssssssss
Answer:
The equation is:
y=5x-2
Answer:
write -3+6^x
Step-by-step explanation:
ur answer is true actually just don't write 'y='
What is the solution for x in the equation?
-4 + 5x − 7 = 10 + 3x − 2x
A.
x=4/13
B.
x=13/4
C.
x=21/4
D.
x=4/21
Answer:
C. x = 21/4Step-by-step explanation:
-4 + 5x − 7 = 10 + 3x − 2x
=> 5x + 2x - 3x = 10 + 7 + 4
=> 4x = 21
=> x = 21/4 (Ans)
Answer:
d. x = 4/21
Step-by-step explanation:
-4 + 5x − 7 = 10 + 3x − 2x
5x-11 = x+10
4x = 21
x = 4/21
hope it helps :)
please mark brainliest!
how many times do 6x-4y=2 and -2y+3x=1
Answer:
Infinite Solutions
Step-by-step explanation:
If you graph both lines (shown below), you will see that both lines given are overlapping each other. This means that their are an infinite amount of solutions.
Best of Luck!
SOMEONE HELP ME PLEASE
Answer:
c = 180
Step-by-step explanation:
Varies joint with d and the square of g
c = k d g^2 where k is a constant
30 = k * 15 * 2^2
30 = 60k
30/60 = k
1/2 = k
c = 1/2 d g^2
Let d = 40 and g=3
c = 1/2 ( 40) (30^2
c = 20 (9)
c = 180
what is the answer to 4 (2/5) /6
Answer:
= 4/15
Step-by-step explanation:
=4 . 2/5 /6
= 4/15
Answer:
0.26
Step-by-step explanation:
4 (2/5) /6
2/5 = 0.4
4 × 0.4 = 1.6
1.6 / 6 = 0.26
The answer is 0.26
4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)
please show steps!!
Answer:
x = 0, π/3, 2π/3, π, 4π/3, 5π/3
Step-by-step explanation:
4cos^4(x) – 5cos^2(x) + 1 = 0
(4cos^2(x) - 1)(cos^2(x) - 1) = 0
When 4cos^2(x) - 1 = 0
cos^2(x) = 1/4
cos x = +/-1/2
so x = π/3, 2π/3, 4π/3, 5π/3.
When cos^2x - 1 = 0
cos x = +/- 1
x = 0, π.
x
The solution is : x = 0, π/3, 2π/3, π, 4π/3, 5π/3
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)
so, we get,
4cos^4(x) – 5cos^2(x) + 1 = 0
(4cos^2(x) - 1)(cos^2(x) - 1) = 0
When 4cos^2(x) - 1 = 0
cos^2(x) = 1/4
cos x = +/-1/2
so x = π/3, 2π/3, 4π/3, 5π/3.
When cos^2x - 1 = 0
cos x = +/- 1
x = 0, π.
Hence, The solution is : x = 0, π/3, 2π/3, π, 4π/3, 5π/3.
To learn more on simplification click:
brainly.com/question/28996879
#SPJ2
What type of function is represented by the following graph?
Answer:
C. Absolute value is the answer
What single transformation can take you from A (3, 1) to A" (-7, 1) in one move?
Whoever helps me I will mark brainlest! :)
Answer: A reflection (Across the y-axis)
Step-by-step explanation:
Transformation possiblitites:
Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.
Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.
Dilation: The new point if dilated wouldn't be in close proximity with the original point.
Write an equation that represents the line.
Use exact numbers.
Answer:
y = 4/5x - 18/5
Step-by-step explanation:
y = mx + b
m = 4/5
(2, -2)
-2 = 8/5 + b
b = -10/5 - 8/5 = -18/5
y = 4/5x - 18/5
There are 256 players competing in a national chess championship tournament. The players compete until there is 1 winner. How many matches must be scheduled in order to complete the tournament?
A.256 matches
B.255 matches
C.128 matches
D.511 matches
Someone please help and explain to me on how to do this! PLEASE
Answer:
the correct answer is b
Step-by-step explanation:
there are 256 players so 128 matches will be there first and 128 will reach in second round and again 64 matches and half of them will be eliminated and do it till there will be final 2 then add matches played and u will get254 matches and 1 last match will be final
so ans is 255
Help me solve this probelm please
Answer:
C.
Step-by-step explanation:
[tex]{ \tt{(8x + 3) + (2x + 7) = 180 \degree}} \\ { \tt{10x + 10 = 180}} \\ { \tt{10x = 170}} \\ { \tt{x = 17}}[/tex]
[tex]{ \bf{ \angle Q = (2x + 7)}} \\ { \bf{ \angle Q = (2 \times 17) + 7}} \\ { \bf{ \angle Q =41 \degree }}[/tex]
Did I do this right?
Answer:
it must be yes!
Step-by-step explanation:
THIS HURTS MY HEAD SO I CANT FOCUS, PLEASE HELP!
find the missing part of the pattern:
69388966938896?988963
Answer:
6
Step-by-step explanation:
After draining 8 gallons from a tub of water
, there were still 12 gallons left
How many gallons of water were in the tub to start?
Answer: 20
Step-by-step explanation:
X - 8 = 12
+ 8 +8
X = 20
20 gallons were in the tub to start with
What is the area of the triangle? A) 6 squared inches B) 7 1/2 square inches. C) 10 square inches. D) 12 square inches
Answer:
A) 6 square inches.
Step-by-step explanation:
A(Triangle) = 1/2bh
b = base length
h = height length
A(Triangle) = 1/2(4)(3) = 6
Therefore, the area of the triangle is 6 in².
f(x) = 275
1. Find the inverse of f(x) and its domain.
Answer:
y = 1/(x+1) -5
X cannot be -1 because the denominator would go to zero
Step-by-step explanation:
f(x) = 1/(x+5) -1
y = 1/(x+5) -1
Exchange x and y and solve for y
x = 1/(y+5) -1
x+1 = 1/(y+5)
Multiply by (y+5)
(x+1) (y+5) = 1
Divide by (x+1)
y+5 = 1/(x+1)
Subtract 5
y = 1/(x+1) -5
X cannot be -1 because the denominator would go to zero
translate the following in to an expression 45% of a
Answer:
Your question is incomplete pleasegove the real question.
Step-by-step explanation:
3. The sum of x and y is 9. The value of y is two more than the value of x. Write a system of equations to model this.
fa+y=9
x = y + 2
x - y = 9
y + 2
x-y-9
x = y + 2
X +y=9
y = x + 2
Answer:
x + y = 9
y = x + 2
Step-by-step explanation:
We need to write a system of equations to represent the given situation . The statements are ,
Statement 1:- The sum of x and y is 9.
Mathematically , we can write it as ,
[tex]\rm\implies x + y = 9 [/tex]
Statement 2:- The value of y is two more than the value of x.
This simply means that y equals to 2 + x , that is
[tex]\rm\implies y = x+2[/tex]
Therefore the system of equations will be ,
x + y = 9y = x + 2Also when we will try to solve the equations we will get ,
[tex]\rm\implies x + y = 9 [/tex]
Put y = x + 2 , we have ,
[tex]\rm\implies x + x + 2= 9 [/tex]
Add the like terms ,
[tex]\rm\implies 2x +2 = 9 [/tex]
Transpose 2 to RHS ,
[tex]\rm\implies 2x = 9 -2 = 7[/tex]
Divide both sides by 2 ,
[tex]\rm\implies \boxed{\blue{\rm\quad x = 3.5\quad}}[/tex]
Similarly we will get the value of as ,
[tex]\rm\implies 3.5 + y = 9 [/tex]
Transpose 3.5 to RHS ,
[tex]\rm\implies y = 9 - 3.5 [/tex]
[tex]\rm\implies \boxed{\blue{\rm\quad y = 5.5\quad}}[/tex]
Therefore ,
[tex]\begin{cases} \rm x = 3.5 \\\\\rm y = 5.5 \end{cases}[/tex]
Mr. Ramadhan earns $15.25 per hour for the first 40 hours he works for the week. He earns 1.5 times that amount per hour for each hour beyond 40 hours in a week. Last week Mr. Ramadhan worked 47.5 hours. How much did he earn? **
Answer: $781.56 (usual decimal) / $781.5625 (original decimal)
Step-by-step explanation:
Step One: Find the amount of money earned in 40 hours
$15.25 × 40 = $610
Step Two: Find the amount of time over 40 hours
47.5 - 40 = 7.5 hours
Step Three: Find the amount of money earned per hour beyond 40 hours
1.5 × $15.25 = $22.875
Step Four: Find the amount of money earned beyond 40 hours
$22.875 × 7.5 = $171.5625
Step Five: Add all the amount of money together
$610 + $171.5625 = $781.5625
Step Six: Rounding
$781.5625 ≈ $781.56
**Disclaimer** Usually the amount of money ends at two decimal places. However, I am not sure about your rules applied in the mathematics of rounding. Therefore, if you are totally fine with having over normal amounts of decimals, then it would be your choice.
Hope this helps!! :)
Please let me know if you have any questions
HELP PLEASE!!!! HURRY!!!! NO SPAM!!!Indicate whether the product is defined. If it is, give the dimensions of the product.
Aˇ2 × 3 and Bˇ3 × 4; AB
Answer:
Yes, the product AB is defined
Order of AB=[tex]2\times 4[/tex]
Step-by-step explanation:
We are given that
Order of matrix A=[tex]2\times 3[/tex]
Order of matrix B=[tex]3\times 4[/tex]
We have to find the product AB is possible if possible find dimension of the product.
Number of rows of matrix A=2
Number of columns of matrix A=3
Number of rows of matrix B=3
Number of columns of matrix B=4
For product of AB
Number of columns of matrix A=Number of rows of matrix B
Therefore, number of columns in A is equal to number of rows in B.
Hence, product AB is defined.
If order of A=[tex]m\times n[/tex]
Order of B=[tex]n\times p[/tex]
Then, order of AB=[tex]m\times p[/tex]
Therefore, order of AB=[tex]2\times 4[/tex]
How to transform x^2+100 into a polynomial?
Answer:
x^2 + 100
x^2 + 10^2
Using the square of 2 sums formula ((x + y)^2 = x^2 + y^2 + 2xy), we can simplify as: x^2 + y^2 = (x + y)^2 - 2xy.
Implement y = 10, then we got:
x^2 + 10^2 = (x + 10)^2 - 20x
Which of the following represents the factorization of the polynomial below?
x2+13.x+42
A. (x+9)(x+4)
B. (x+5)(x+8)
C. (x+7)(x+6)
D. (x+21)(x + 21)
Answer:
C. (x+7)(x+6)
Step-by-step explanation:
F: X*X = X^2
O: x * 6 = 6x
I: 7 * x = 7X
L: 7*^ = 42
Which could be the function graphed below?
Step-by-step explanation:
sqrt(x+4)
the answer is in the image above
Find the slope of the line passing through the pointg (7, 1) and (7, - 2).
slope:
Answer: No slope / undefined
Step-by-step explanation:
Concept:
Here, we need to know the idea of a slope.
The slope is the measure of the steepness of a line.
The basic formula of slope is [Rise / Run] which is basically [Y] value (vertical) over [X] value (horizontal)
If you are still confused, please refer to the attachment below for the full formula.
Solve:
(7 ,1)
(7, -2)
Slope = (1 - (-2)) / (7-7)
Slope = (3) / 0
Slope = Undefined
Indeed, it is a vertical line. By definition, a vertical line has no slope.
Hope this helps!! :)
Please let me know if you have any questions or need further explanations
Plot each angle on the unit circle below. You will need to draw additional radius segments
○ 0, 30, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330
Determine the radian measure for each angle
Determine the Sin, Cos, Tan for each angle
Use 0 as an example
Upload your completed circle in the dropbox provided.
Solution :
Trigonometric angles :
The trigonometric angles are defined as the angles that are obtained by the ratios of trigonometric functions. It shows the relationship between the sides of the triangle and the angles between them. These values of the trigonometric angles ranges from 0 to 36 degrees.
Below attached shown are the angles on a unit circle which shows the angles for each value of sin, cos and tan, and also the radian measure for each of the angles.
What is the value of k?
Answer:
k = 2
Step-by-step explanation:
[tex]\frac{8}{4} =\frac{4}{k}[/tex]
8k = 16
k = 2
If the ratio of plums to peaches to kiwis is 10:4:5, how many plums are there if the total number of fruits is 190?
Answer:
The answer is 100:40:50
Answer:
131 plums
Step-by-step explanation:
The fraction of plums = 10/(10+4.5)
= 10/14.5
= 100/145
So the required number of plums = 100 * 190 /145
= 131.