The length of BC is 15 cm and the length of AB is 12.5 cm.
The given parameters;
perimeter of isosceles ΔABC = 40 cmbase of the isosceles triangle = BCPerimeter of the equilateral ΔBCD = 45 cmAn equilateral triangle has three equal sides and the length of each side is calculated as;
[tex]|BC| = |BD| = |CD| = \frac{45}{3} = 15 \ cm[/tex]
Thus, the length of BC is 15 cm.
An isosceles triangle has two equal sides and a third side of different length. This third side is usually the base of the triangle.
The base of the isosceles triangle = BC = 15 cmThe two remaining sides = AB and AC[tex]|AB| = |AC| =\frac{Perimeter \ - \ |BC|}{2} = \frac{40 - 15}{2} = 12.5 \ cm[/tex]
Thus, the length of AB is 12.5 cm.
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Jill is 7 kilometers away from joe. both begin to walk toward each other at the same time. jull walks at 1.5 kilometers per hour. they meet in 2 hours. how fast is joe walking?
How to find the perimeter of a polygon with vertices
To find the perimeter of a polygon with vertices, calculate the sum of the lengths of all the sides of the polygon by taking the distance between each pair of consecutive vertices and adding them together.
Explanation:To find the perimeter of a polygon with vertices, you need to calculate the sum of the lengths of all the sides of the polygon. The perimeter is the distance around the polygon. You can do this by taking the distance between each pair of consecutive vertices and adding them together. For example, if you have a triangle with vertices A, B, and C, you would calculate the length of AB, BC, and AC, and then add these lengths together to find the perimeter of the triangle.
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Divide. Write your answer in simplest form.
4 ÷ 5/6
Write programs with loops that compute
a. the sum of all even numbers between 2 and 100 (inclusive).
b. the sum of all squares between 1 and 100 (inclusive).
c. all powers of 2 from 20 up to 220.
d. the sum of all odd numbers between a and b (inclusive), where a and b are user inputs.
e. the sum of all odd digits of an input. (for example, if the input is 32677, the sum would be 3 + 7 + 7 = 17.)
Guys please help! 15 points and brainliest! In triangle CDE, the measure of angle C is 90 degrees, side CD is 15 and DE is 3 more than CE. Find the length of the longest side of CDE.
Seth is reading a long novel. if he reads 45 pages per hour, how many hours will it take him to read 585 pages?
The length of a rectangle is 4 in longer than its width. if the perimeter of the rectangle is 28 in , find its area.
0.74 as a fraction in simplest form
Sadie's ice cream shop sold 11 sundaes with nuts and 1 sundae without nuts. what is the ratio of the number of sundaes without nuts to the number of sundaes with nuts?
math help easy will give brainliest
Answer: the equation will be of the form
y = 8x + b because the slope is same = 8.
using point slope form
y - -3 = 8(x - - 2)
y + 3 = 8x + 16
y = 8x + 13 Answer
I hope that this helps! :3
What is Indegree and Outdegree of a graph?
is 3.774447444744474447444 a rational number
What is the value of x?
Are the graphs of the lines in the pair parallel? Explain. y = 3/7 x + 11 and –3x + 7y = 13
Find the missing measures for the rectangle.
l = _?_
w = 2 cm
A = _?_
P = 25 cm
A) 12.5 cm; 25 cm2
B) 10.5 cm; 21 cm2
C) 12.5 cm; 21 cm2
D) 10.5 cm; 25 cm2
Find equations in standard form of the lines through point P that are A.) parallel to, and B.) perpendicular to, line L. P(0,-4); L: 2y=x. I've tried solving it and looking at examples, but no examples in my book are like this problem.
5.Thomas walked 1 1/4 miles from his home to his school. Jackson walks 1 2/3 miles from his home to work. How much farther does Jackson walk to school than Thomas?
Jackson walks 5/12 miles farther than Thomas to work. So, Jackson walks approximately [tex]\( \frac{5}{12} \)[/tex] miles farther than Thomas.
To find out how much farther Jackson walks to work than Thomas, we need to subtract the distance Thomas walks from the distance Jackson walks.
Thomas walks 1 1/4 miles, which is equivalent to 5/4 miles. Jackson walks 1 2/3 miles, which is equivalent to 5/3 miles.
To subtract fractions, we need a common denominator, which in this case is 12. So, 5/3 is equivalent to 20/12, and 5/4 is equivalent to 15/12.
Now, subtracting, we get 20/12 - 15/12 = 5/12 miles.
Therefore, Jackson walks 5/12 miles farther than Thomas.
Please help!! Rewrite the expression as the product of two binomials. What are the two binomials for the expression? x(x-8)-9(x-8)
BRAINLIESTTTT!!!
1. Which of the following statements best describes the graph of x + y = 4?
It is a line which intersects the x-axis at (4, 4).
It is a line which intersects the y-axis at (4, 4).
It is a line joining the points whose x- and y-coordinates add up to 8.
It is a line joining the points whose x- and y-coordinates add up to 4.
Which function is negative for the interval [–1, 1]?
The answer is the second graph
Answer:
the answer is the 2nd graph your welcome:)
Step-by-step explanation:
A function is the relationship between two variables such that each input has exactly one output
The function which is negative for the interval [-1, 1] is the function represented by the second graph
The reason the second graph is the correct option is as follows:
The output values of a function are the y-values of the function. A function is negative over an interval if its y-values are negative in the interval
The given interval is [-1, 1], which is the interval from x = -1, to x = 1
From the given graphs, the graph of the function that is negative over the interval [-1, 1] which is the second graph
a·x² + b·x + c = 0
At x = 0, y = -2
At x = 1, y = 0
At x = -1, y = 0
At x = 2, y = 2
Solving the above gives; The equation of the function is f(x) = x² - 2
The graph of the function is attached
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There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. In how many different ways can the ribbons be awarded?
1001
6006
24024
38416
Answer:
24,024
Step-by-step explanation:
on god
A new hybrid car has a 18-gallon gas tank. On one tank of gas, the owner can drive 540 miles. The number of miles traveled varies directly with the number of gallons of gas the car uses.
a. Write an equation that relates the number of miles traveled with the number of gallons of gas used.
b. How many miles can the owner travel on 12 gallons of gas?
In a certain sequence, each term, starting with the 3rd term, is found by multiplying the previous two terms. what is the difference between the 6th and 3rd terms in the sequence? (1) the 1st term is equal to 8 times the 2nd term. (2) the 4th term is equal to 1.
PLEASE HELP! 15 POINTS
she earns 550 per week
so that is one one side of the equation 550w
the other side would be the 4500 she spent plus the 200 per week' so 4500 +200w
equation is 550W> 4500+200W
A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is 7.25% sales tax, what will the shirt ring up for at the register?
a.
$17.26
b.
$21.67
c.
$29.89
d.
$32.06
The shirt ring-up at the register will be $32.06. Then the correct option is D.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is a 7.25% sales tax.
The shirt ring up for at the register will be given as,
⇒ $45.99 x (1 - 0.35) x (1 + 0.0725)
⇒ $45.99 x 0.65 x 1.0725
⇒ $32.06
The shirt ring-up at the register will be $32.06. Then the correct option is D.
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Write the equation for the vertical line that contains point E (10,-3)
The inverse of x y is: x y x y y x x y y x
Answer:
The inverse of xy is yx.
Step-by-step explanation:
Given: xy
We need to find the inverse of xy.
To find inverse of an expression, we need to replace the variable x by y and y by x.
Given xy.
Now replace x by y and y by x, we get
yx
Therefore, the inverse of xy is yx.
Let me show you an example.
y = x - 2
To find the inverse function, replace x by y and y by x, we get
x = y - 2
It is an equation, to write the equation in terms of y, add 2 from both sides, we get
x + 2 = y -2 + 2
x + 2 = y
Therefore, y = x + 2
Lima is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.
If number is added to its square, the result is 56. find the number.
Answer:
-8 or +7
Step-by-step explanation:
Let x represent the number. The the problem statement tells us ...
x² + x = 56
x² +x -56 = 0 . . . . . subtract 56 to put into standard form
(x +8)(x -7) = 0 . . . . factor
Solutions to the equation are values of x that make the factors zero:
x = -8 . . . or . . . x = +7
The number could be -8 or +7.
_____
Check
For x = -8, the square is (-8)² = 64. Adding -8 to that gives 64-8 = 56.
For x = 7, the square is 7² = 49. Adding 7 to that gives 49+7 = 56.
Which of the following is more than 0.35 but less than 0.41
A.
8/25
B.
3/10
C.
2/5
D.
9/26
Answer:
C. [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Let x be the number which is more than 0.35 but less than 0.41,
⇒ 0.35 < x < 0.41
[tex]\implies \frac{35}{100}< x < \frac{41}{100}[/tex]
[tex]\implies \frac{7}{20} < x < \frac{41}{100}[/tex]
∵ Only [tex]\frac{2}{5}[/tex] is between [tex]\frac{7}{20}[/tex] and [tex]\frac{41}{100}[/tex],
Hence, option C is correct.