Given:
In isosceles triangle ABC, consider AB=BC and the segment BD with D a point on AC is the median to the base AC.
Perimeter of ABC is 50m and the perimeter of ABD is 40m.
To find:
The length of BD.
Solution:
In isosceles triangle ABC the segment BD with D a point on AC is the median to the base AC.
[tex]AB=BC[/tex] ...(i)
[tex]AD=CD[/tex]
[tex]AC=2AD[/tex] ...(ii)
Perimeter of ABC is 50m.
[tex]AB+BC+AC=50[/tex]
[tex]AB+AB+2AD=50[/tex] [Using (i) and (ii)]
[tex]2AB+2AD=50[/tex]
[tex]2(AB+AD)=50[/tex]
Divide both sides by 2.
[tex]AB+AD=25[/tex] ...(iii)
Now, perimeter of ABD is 40m.
[tex]AB+AD+BD=40[/tex]
[tex]25+BD=40[/tex] [Using (iii)]
[tex]BD=40-25[/tex]
[tex]BD=15[/tex]
Therefore, the length of BD is 15m.
5y + 4
+ (y + 7)
subtracting polynomials
Answer:6y+11
Step-by-step explanation:
Answer:I really don’t know lol
An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She brought a 10-gram of the goo to her laboratory. She found that when the goo was exposed to light, the total amount of goo increased by 100% every hour. How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?
Answer:
20 ; 40 ; 80 ; 10(2^n)
Step-by-step explanation:
Given that:
Initial amount of goo (p) = 10 gram
Total amount of goo increased by 100% every hour ;
How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?
Using the relation :
Final amount = initial * (1 + rate)^t
Rate = 100% = 100/100 = 1
t = number of hours
Hence, after 1 hour :
Final amount = 10(1 + 1)^1
Final amount = 10(2)^1 = 20 grams
After 2 hours : t = 2
Final amount = 10(1 + 1)^2
Final amount = 10(2)^2 = 10 * 4 = 40 grams
After 3 hours ; t = 3
Final amount = 10(1 + 1)^3
Final amount = 10(2)^3 = 10 * 8 = 80 grams
After n hours ; t = n
Final amount = 10(1 + 1)^n
Final amount = 10(2)^n grams
6x + 3y = 33
4x + y = 15
Triangle TAG is graphed as shown
Which of the following transformations will move triangleTAG so that point G is at the origin?
Answer:
The transformation is (x,y) to (x-2,y-6)
Step-by-step explanation:
First of all, we note the coordinates of the point G
The coordinates of the point G is (2,6)
To bring this to the origin, we are looking at bringing it to the point (0,0)
To do this, we subtract 2 from the x-value and 6 from the y value
So what we have is that;
(x-2) and (y-6)
(x-2, y-6)
Which line has a slope of 1/2 and passed through (2,-4)
The factors of 2x^2 + xy - 3y^2 are
A (2x - 3y)(x + y)
B (2x + 3y)(x - y)
C (2x - y)(x + 3y)
D (2x + y)(x - 3y)
Answer:
B. (2x + 3y)(x - y)
Step-by-step explanation:
[tex]2x^{2} +xy-3y^{2}[/tex] Write x y as a difference
[tex]2x^{2} +3xy-2xy-3y^{2}[/tex] Factor out x from the equation
[tex]xx(2x+3y)-yx(2x+3y)[/tex] Factor out 2x+3y from the expression
[tex](2x+3y)x(x-y)[/tex] <----- Answer
The factors of [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex].
What are factors ?Factors is a number or algebraic expression that divides another number or expression. i.e., with no remainder
We have,
[tex]2x^2 + xy - 3y^2[/tex]
Now,
Using the middle term split method,
[tex]2x^2 + xy - 3y^2[/tex]
Splitting the mid term;
[tex]2x^2 - 2xy + 3xy - 3y^2[/tex]
Now taking commons,
[tex]2x(x - y) + 3y(x - y)[/tex]
Now again taking common factors
We get,
[tex](x - y) (2x+ 3y)[/tex]
So, the factors of given expression are [tex](x - y) (2x+ 3y)[/tex].
Hence, we can say that the factors of [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex] which are given in option [tex](B)[/tex] .
To know more about expression click here
https://brainly.com/question/14083225
#SPJ2
A ball Is dropped from a height of 100'. The height of the ball can be determined using the equation h = -16t^2+ 100, Where H is the height, in feet, and T is the time in seconds. If age equals 0 Kama find all the values of T and determine whether the values are reasonable for this solution
Answer:
2.5secsStep-by-step explanation:
Given the height of the ball modeled by the equation h = -16t^2+ 100, where
h is the height
t is in seconds
We can find the time taken by the ball to reach the ground.
The ball reaches the ground when the height h = 0
Substitute h = 0 into the equation and find t;
0 = -16t^2+ 100
16t^2 = 100
t^2 = 100/16
t = √100/16
t = 10/4
t = 2.5secs
Hence the ball reaches the ground after 2.5secs
Savannah and Reagan both work in a grocery store. They each stocked the same number of shelves last Saturday, but it took Reagan less time. They've been told that they'll spend their entire 4-hour shifts next Saturday stocking shelves. If their average speeds are consistent, who will likely stock more shelves next Saturday?
HELP!
Answer:
Reagan
Explanation:
Since Reagan is able to stock the same number of shelves as Savannah while spending less time to do so, it means that Reagan is able to stock shelves faster than Savannah, thus Reagan is able to stock more shelves than Savannah given that their average speeds are constant and that they both work under 4-hour shifts.
Hope this helps :)
y varies directly with x. If x= 1 and y = 0.25 what is y if x = 9
Type your answer...
Answer:
y=2.25
Step-by-step explanation:
0.25x9=2.25
A college textbook costs $90,00. If the sales tax rate is 6.5%, then how much will the tax be?
Answer:
The sales tax is 6.5% of the selling price of the book: 0.065($90.00) = $5.85.
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Consider functions hand k.
For x > 0, the value of k(h(x)) is
For x > 0 functions h and k
the inverse
Answer:
not equal to
are not
Step-by-step explanation:
guessed on plato and got it right. Thank You!!!!
Answer:
The correct answers are:
Not equal to
Are not
Step-by-step explanation:
I got it right on the Edmentum test.
Create a system of equations with a solution of (4,1)
Answer:
x + y = 5 (or) xy = 4 (or) x - y = 3
Audrey and chase are 22.5 miles apart on a path when they start moving towards each other. Chase friends and a constant speed of 6 mph, in Audrey works at a constant speed of 3 mph. How long does it take onto chase and Audrey meet?
Answer:
4 is a great place to be your
Step-by-step explanation:
I am not it 4455rrfrt9999999999 forver rip juice wrld
Can u guys PLEASE ANSWER this question 2 ASAP
Answer:
23.1
Step-by-step explanation:
The radius of the cone is
32÷2
16
So the equation is
s²=r²+h²
h²=s²-r²
h=√s²-r²
h=√28.1²-16²
h=√789.61-256
h=√533.61
h=23.1
helpp
2^2 - (2)(-2) - (-2)^2
Answer:
4
Step-by-step explanation:
2^2 - (2)(-2) - (-2)^2
=4+4-4
=4
2² - (2 × -2) - (-2²)
= 4 - (-4) - 4
= 4 + 4 - 4
= 8 - 4
= 4
Help????? Pls?????????
Answer:
20 men in the dance recital.
Step-by-step explanation:
tt
what is. the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?
Answer:
x=2
Step-by-step explanation:
We first distribute this. So we have 15x-10 = 10 + 6 +2x.
Then we move the variable to one side and have 13x= 10+10+6
Simplify to get 13x = 26.
x=2
Is this set of ordered pairs a function ? (1,9) (0,8) (3,0) (4,9) (7,7).
Answer:
It is not a function because the output of 9 repeats.
(1,9) (4,9)
:D
A cookie factory uses 5/6 of a barrel of oatmeal in each batch of cookies. The factory used 6 2/3 barrels of oatmeal yesterday. How many batches of cookies did the factory make?
Write your answer as a fraction or as a whole or mixed number.
Answer:
8 batches
Step-by-step explanation:
6 2/3= 6 4/6 =40/6
40/6 divided by 5/6= 8
PLSSS HELLPPPP I WILL HIVE BRAINLIEST!!!
Answer:
480 in^3
Step-by-step explanation:
A=l×b×h
10×8×5+4×4×5
=480
PLEASE ANSWER ASAP THANKSSS :)
Sal wants to know if he has enough money to buy 4 gallons of gas. If he has $15, and each gallon of gas costs $3.29, which is a good estimate for whether Sal will be able to afford 4 gallons of gas?
$3 + $3 + $3 + $3 = 12, so Sal can afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal can afford the gas.
$3 + $3 + $3 + $3 = 12, so Sal cannot afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal cannot afford the gas.
Answer:
The first one ( $3 + 3 + 3 + 3 = 12, so Sal can afford the gas. )
Step-by-step explanation:
What is the slope of the line that passes through the points (4, -6) and (4, 6)?
Answer:
no slope
Step-by-step explanation:
m= y2-y1/x2-x1
m= 6-(-6)/4-4
m=12/0
m= no slope
A child has 60 total coins. There are ten times as many nickels as there are quarters (q) and twelve more dimes than quarters. Write an equation to represent this situation
Answer:
10q+q+(12+q)=60
Help I will make you a brainlist!!
What is the equation of the line with a y-intercept of -3 and a slope of 2?
y=-3x + 2
y = -2x - 3
y= 2x - 3
y= 3x + 2
Answer:
y = 2x - 3
Step-by-step explanation:
y = mx + b
slope is m, so m=2
y-intercept is b, so b= -3
============================================================
Given:-
Slope of the line -> 2Line's y-intercept -> -3To find:-
Equation of the lineRemember, slope-intercept form looks like so:-
[tex]\bigstar{\boxed{y=mx+b}[/tex]
Where
m stands for the slope
b stands for the y-intercept
in this case, m -> 2, and b-> -3
Plug in the values:-
[tex]\bigstar{\boxed{y=2x-3}[/tex]
=========================================================
note:-Hope everything is clear; if you need clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Joseph is weaving a ceremonial Native American sash. The sash will be 8 feet long when it is completed. Joseph wants to add a diamond shape every 0.4 feet along the sash. How many diamonds will the sash have when it is completed? A. 20 B. 19 C. 18 D. 17 pls give answer
Answer:
20 diamonds
Step-by-step explanation:
It is given that,
Length of the sash when it is completed = 8 feet
Joseph wants to add a diamond shape every 0.4 feet along the sash.
We need to find no of diamonds the sash have when it is completed. It can be calculated by dividing total length by 0.4 feet. As a result,
n = 8/0.4
n = 20
Hence, 20 diamonds the sash will have when it is completed
Use the scatter plot to fill in the missing coordinate of the ordered pair.
Answer:
(16, 6)
Step-by-step explanation:
The coordinate of an ordered pair is often represented as (x, y). That is, when x is equal to a particular value, the value of y would be the corresponding value to x on the coordinate plane.
So, given an incomplete ordered pair, (16, ), to find the missing coordinate, trace the value of y that corresponds to the value of x = 16.
That is, what is the value of y when x = 16.
From the plot, when x = 16, y = 6. The missing coordinate is 6.
Thus, we would have:
(16, 6).
find the equation for the line
Answer:
y = 1/2x + 1.5
Step-by-step explanation:
first find the slope and then put it in y= x+b
you can see that to get from (-1,1) to (1,2) you must go up one and over two
slope is = rise over run --> rise 1 and run 2
the b is were it hit threw the y intercept
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?
Answer:
36
Step-by-step explanation:
Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12
The only number within the given range is 36
The number of students should be in the class should be considered as the 36.
Calculation of the number of students:Since
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
So here the total ratio should be like
= 5 + 7
= 12
So here the number of students should be divisible by 12
So, it should be 36
Learn more about ratio here: https://brainly.com/question/13111469
A 2-digit number is written on a paper. What is the probability that it starts with 2?
Answer:
1 out of 9
Step-by-step explanation:
A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate is possible, he will travel ____ miles in 8 hours. Someone pls help im sooo behind in maths and im really confused
Answer:
...520 miles
Step-by-step explanation:
if he keeps the same pace then you can just put two and two together 260 + 260 = 520 (seems too easy so sorry if im wrong)