Let's see. What is a right isosceles triangle?
A right isosceles triangle is a triangle with one right angle with at least two equal sides. In this case, it would have to be ONLY two because it has a right triangle.
What is the formula for the area of an isosceles triangle?
When y = the identical side lengths of the triangle,
and A = area,
(y × y) ÷ 2 = A
Note: Remember to compute from left to right! :)
We divide by two because when you multiple the two identical sides, you would get a square. However, we're trying to find the right isosceles triangle, and we divide by two.
Now, we can plug-in our values!
(y × y) ÷ 2 = 128
(y × y) = 64
Now, we square root both sides!
y = √64
y = 8
The length of the identical sides of the triangle is 8 meters.
[tex]\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given that area of an isosceles triangle is 128m² .
And the triangle is right Angled ∆ .
So , the measure of sides along 90° that is perpendicular and the base will be equal .
Let us say that each of the equal sides is x .
Then , we can find the area of the triangle as ,
[tex]\boxed{\bf{\red{ Area_{triangle}=\dfrac{1}{2}\times(base)\times(height)}}}[/tex]
Now , here substitute the respective values ,
[tex]\implies \sf \dfrac{1}{2}\times(base)\times(height)=128m^2[/tex]
[tex]\sf\implies \dfrac{1}{2}\times x \times x = 128m^2[/tex]
[tex]\sf \implies \dfrac{x^2}{2}=128m^2[/tex]
[tex]\sf\implies x^2=128\times2 m^2[/tex]
[tex]\sf\implies x^2=256 m^2[/tex]
[tex]\sf\implies x=\sqrt{256m^2}[/tex]
[tex]\underline{\boxed{\red{\sf\longmapsto x=16m}}}[/tex]
Hence the value of value of identical side of the triangle is 16m .
Carlo’s Bakery is having a special where he packages 6 muffins together for a low price and he packages 20 cookies together for a low price. His baker realized they sold the same amount of muffins and cookies yesterday due to this great sale. What is the minimum amount of muffins that were sole yesterday? Is this a GCF or LCM problem?
Answer:
They sold 60 muffins and 60 cookies yesterday
It is a LCM problem
Step-by-step explanation:
6 muffins together
20 cookies together
To sell the same amount of muffins and cookies,
Find the lowest common multiple of 6 muffins and 20 cookies
6 muffins = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78
20 cookies = 40, 60, 80
The lowest common multiple of 6 muffins and 20 cookies is 60
Therefore,
They sold 60 muffins and 60 cookies yesterday
It is a LCM problem
PLEASE HELP ME ASAP I DONT WANT TO FLUNK MATH
Find the slope given these points:
(-8,4) & (-5,1)
A. -1
B. 1
C. 3/13
D. 5/13
Answer:
A:-1
Step-by-step explanation:
Solve the equation to find the value of a.
✓ 4a + 5 = 7
Answer:
0.5
Step-by-step explanation:
4a+5=7
4a=7-5
4a=2
a=2/4
Answer:
a = 1/2
Step-by-step explanation:
4a + 5 = 7
4a = 2
a = 1/2
I dont quite understand how to do this
Answer:
10
Step-by-step explanation:
substitute -3 in for x
f(-3)=(-3)²+1=
9+1=10
(You can ignore the g(x) part - it has nothing to do with this question.)
Solve: -(6x+ 8) = 4(17 - x) *
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = − 38
Step-by-step explanation:
Answer:
−38
Step 1: Simplify both sides of the equation.
−(6x+8)=4(17−x)
−6x+−8=(4)(17)+(4)(−x)(Distribute)
−6x+−8=68+−4x
−6x−8=−4x+68
Step 2: Add 4x to both sides.
−6x−8+4x=−4x+68+4x
−2x−8=68
Step 3: Add 8 to both sides.
−2x−8+8=68+8
−2x=76
Step 4: Divide both sides by -2.
−2x−2=76−2
x=−38
Identify the domain and range of the following function:
{(8,7),(4,9),(0,0),(1,17)}
Answer:
Domain: 8,4,0,1
Range: 7,9,0,17
-6a - 4(a - 3) = -6a + 15
Step-by-step explanation:
-6a - 4(a - 3) = -6a + 15
=> -6a - 4a + 12 + 6a - 15 = 0
=> -4a - 3 = 0
=> -4a = 3
=> a = -3/4
Help meeeeee. Thank you
A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be ... at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak. 2.
Answer:
concrete jungles where dreams are made of
Step-by-step explanation:
Answer:
There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
Step-by-step explanation:
Sample response :)
will mark brainliest
88 degrees.
Total measure of triangle's angles is 180 degrees.
angle <2 and 42 degrees are corresponding so <2 is also 42 degrees.
50 + 42 = 92.
180 - 92 = 88 degrees
If this helped, please mark branliest.
22x^3 y^4+28x^2 y^5+34xy^4
Answer:
2xy4 • (11x2 + 14xy + 17)
Step-by-step explanation:
(((22•(x3))•(y4))+((28•(x2))•(y5)))+(2•17xy4)
(((22•(x3))•(y4))+((22•7x2)•y5))+(2•17xy4)
(((2•11x3) • y4) + (22•7x2y5)) + (2•17xy4)
5.1 Pull out like factors :
22x3y4 + 28x2y5 + 34xy4 = 2xy4 • (11x2 + 14xy + 17)
Trying to factor a multi variable polynomial :
5.2 Factoring 11x2 + 14xy + 17
Final result :
2xy4 • (11x2 + 14xy + 17)
For what values of [tex]x[/tex] is the product [tex](x+5)(x-1)[/tex] positive? Explain.
Answer:
[tex]x<-5\text{ or } x>1[/tex]
Step-by-step explanation:
We have:
[tex](x+5)(x-1)[/tex]
And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:
[tex](x+5)(x-1)>0[/tex]
Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:
[tex](x+5)(x-1)=0[/tex]
Zero Product Property:
[tex]x+5=0\text{ or } x-1=0[/tex]
On the left, subtract 5.
On the right, add 1.
So, our zeros are:
[tex]x=-5, 1[/tex]
Since our inequality is a greater than, our answer is an "or" inequality with our answer being all the values to the left of our lesser zero and all the values to the right of our greater zero.
So, our solution is:
[tex]x<-5\text{ or } x>1[/tex]
And we're done!
Answer:
The regions where (x+5) (x-1) >0 is x< -5 or x>1
Step-by-step explanation:
(x+5) (x-1) >0
First find the zeros
(x+5) =0 x-1 =0
x= -5 x=1
We then have to check the regions
x< -5 -5 <x<1 x>1
First x< -5
(x+5) (x-1)
X+5 will be negative ( x-1) will be negative
(-) * (-) = + so the values will be positive
Then -5 <x<1
X+5 will be positive ( x-1) will be negative
( +) * (-) will be negative
First x>1
(x+5) (x-1)
X+5 will be positive ( x-1) will be positive
(+) * (+) = + so the values will be positive
The regions where (x+5) (x-1) >0 is x< -5 or x>1
Which expression is equivalent to
Answer:
a
Step-by-step explanation:
an 8 inch candle burns 1/4 inch every hour. a 12 inch large candle burns 1/2 inch every hour. after how many hours will the two candles be the same height?
Answer:
69
\
Step-by-step explanation:
Noah receives a $5 discount each month on his cell phone bill because he signed up for a auto pay from his bank account. Over the last 8 months ,Noah has paid a total of $280 for his cell phone bill. What would Noah be charged for his cell phone bill each month if he stopped using auto-pay?
Answer:
Step-by-step explanation:
280÷8=35+5=$40
HELP PLEASEEEE!!!!! [Easy]
Answer: 120
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
What is the value of
-8(17-12)
—————
-2(8-(-2) )
• -4
• -2
• 2
• 4
Answer:
2
Step-by-step explanation:
-8(17-12)
------------
-2(8-(-2)
= -8(5)
--------
-2(10)
= -40
----------
-20
Ans 2if 3(x+1)=7 find the value of 3x
Answer:
3x=4
Step-by-step explanation:
3x+3=7
3x=4
According to the system of equations above, what is
the value of x ?
Need someone to explain how to do it
Answer:
7
Step-by-step explanation:
try substituting
crossmultyply
x=-9-y
substituting
-9-y=-25+9
y=16
substituting
pick one of the equations
x+y=-9
x-16=-9
x=-9+16
x=7
PLEASE HELP!!!!!!!!!!!!!!!
M=−8j−9k+9 solve for k?
Answer:
k= -8/9j+ -1/9m+ 1
Step-by-step explanation:
Let's solve for k.
m=−8j−9k+9
Step 1: Flip the equation.
−8j−9k+9=m
Step 2: Add 8j to both sides.
−8j−9k+9+8j=m+8j
−9k+9=8j+m
Step 3: Add -9 to both sides.
−9k+9+−9=8j+m+−9
−9k=8j+m−9
Step 4: Divide both sides by -9.
-9k/-9= 8j+m-9/-9
F(x)=-4x+3 vertical translation of 5 units down
Answer:
Gigi Jojo Jojo hip-hop Dutch him
so do Cob zoom from chick dunno drink gum
Step-by-step explanation:
hjjjhb. bjkn
jkk.
hj. hm.
gin
ghb.
8vb.
ucnluh itg.hboy
Find the value of x.
pls help will mark brainliest
in the expression of (x + 1)^n, the coefficient of the x^3 term is two times the coefficient of the x^2 term. Find the value of n.
According to Khayyam-Pascal triangle ,
the value of n is 8.
[tex] look \: \\ \\ {(x + 1)}^{8} = {x}^{8} + 8 {x}^{7} + 28 {x}^{6} + 56 {x}^{5} + 70 {x}^{4} + 56 {x}^{3} + 28 {x}^{2} + 8x + 1 \\ \frac{56}{28} = 2 [/tex]
Recall the binomial theorem:
[tex](a+b)^n=\displaystyle\sum_{k=0}^n\binom nk a^k b^{n-k}[/tex]
where
[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]
is the binomial coefficient. So
[tex](x+1)^n=\displaystyle\sum_{k=0}^n\binom nk x^k[/tex]
The x² term occurs for k = 2, which has coefficient
[tex]\dbinom n2=\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2[/tex]
The x³ occurs for k = 3, with coefficient
[tex]\dbinom n3=\dfrac{n!}{3!(n-3)!}=\dfrac{n(n-1)(n-2)}6[/tex]
The latter coefficient is twice the other one, so that
[tex]\dfrac{n(n-1)(n-2)}6=2\cdot\dfrac{n(n-1)}2[/tex]
Solve for n :
[tex]\dfrac{n(n-1)(n-2)}6=n(n-1)[/tex]
[tex]n(n-1)(n-2)=6n(n-1)[/tex]
[tex]n-2=6[/tex]
[tex]\boxed{n=8}[/tex]
is the following graph a function?
A. yes
B. no
Answer:
Yes
Step-by-step explanation:
You can use the Vertical line test to figure this out, and sure enough none of the points touch the vertical line.
Duke is a part-time student at Horizon Community College. He currently has 22 credits, and he plans to take 6 credits per semester until he is finished.
Duke's friend Kila is also a student at the college. She has 4 credits and plans to take 12 credits per semester. After how many semesters will Duke and
Kila have the same number of credits?
Answer:
3
Step-by-step explanation:
22=6c=4+12c
-6c -6c
22=4+6c
-4 -4
18=6c
/6 /6
3=c
The clocks shows when Tisa’s movie started and ended. How long did the last movie last? Plz hurry I need to finish
Answer:
it last 2 hours and 30 min
Step-by-step explanation:
find the value of a
Answer:
45
Step-by-step explanation:
81° + a° + 2a° = 180°
81° + 3a = 180°
3a = 180 - 81
3a = 99°
a = 99 ÷ 3
a = 33°
Therefore , a = 33° .
State of the two triangles are congruent. if they are, state how you know.
Answer:
Both Triangle are congruent because they have equal sides (the same amount of ticks on each side) The triangles are congruent.
Step-by-step explanation:
For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water. How many milliliters does the mixture contain?
Answer:
12.55 milliliters
Step-by-step explanation:
0.25+12.3=12.55
Good luck!
The mixture contains 12.55 milliliters.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water.
we need to find the amount of milliliters does the mixture contain.
Add twelve point three plus zero point two five.
12.3+0.25
12.30
+ 0.25
_______
12.55
Hence, the mixture contains 12.55 milliliters.
To learn more on Equation:
https://brainly.com/question/10413253
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