I need a step by step explanation please on this please so I can understand it better
Answer:
P = 29 units
Step-by-step explanation:
Let h represent the height of the triangle. Then 2h is the length of the base. The area is given by ...
A = 1/2bh
36 = 1/2(2h)(h) = h²
h = √36 = 6
base = 2h = 12
The base of the isosceles triangle is 12 units, and its height is 6 units.
__
The altitude line makes a right angle with the base, dividing it into two right triangles with sides of length 6. The hypotenuse (s) of each of those is given by the Pythagorean theorem as ...
s = √(6² +6²) = 6√2
Then the perimeter of the triangle is ...
P = base +2s = 12 +2(6√2) = 12(1 +√2) ≈ 28.97 ≈ 29
The perimeter of the triangle is about 29 units.
_____
Additional comment
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
For an isosceles right triangle, this means the hypotenuse is √2 times the side length. (This is a useful relationship to remember, as it is used a lot in algebra and geometry problems.) The acute angles in such a triangle are 45°.
AtQ
[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(2x)(x)=36[/tex]
[tex]\\ \rm\hookrightarrow x^2=36[/tex]
[tex]\\ \rm\hookrightarrow x=6[/tex]
Base=12Apply Pythagorean theorem
[tex]\\ \rm\hookrightarrow H^2=6^2+6^2=36+36=72\implies H=8.5[/tex]
Perimeter
2(8.5)+12=17+12=29unitsUse the Binomial Theorem to expand the binomial. SHOW STEPS
(d-4b)^2
Some one please help!!!
The binomial theorem says
[tex]\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k \\\\(a+b)^n= \binom n0 a^n + \binom n1 a^{n-1}b + \cdots + \binom n{n-1} ab^{n-1} + \binom nn b^n[/tex]
where
[tex]\dbinom nk = \dfrac{n!}{k!(n-k)!}[/tex]
is the so-called binomial coefficient. The binomial coefficients follow a neat pattern called Pascal's triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
where the n-th row, starting with n = 0, lists the coefficient of the k-th term in the sum (with 0 ≤ k ≤ n). For example,
[tex]\displaystyle n=0 \implies (a + b)^0 = \sum_{k=0}^0 \binom nk a^{0-k} b^k = \binom00 a^{0-0} b^0 = \underline{1}[/tex]
[tex]\displaystyle n=1 \implies (a + b)^1 = \sum_{k=0}^1 \binom 1k a^{1-k} b^k = \binom10 a^{1-0} b^0 + \binom11 a^{1-1}b^1 = \underline{1}a + \underline{1}b[/tex]
[tex]\displaystyle n=2 \implies (a + b)^2 = \sum_{k=0}^2 \binom 2k a^{2-k} b^k = \binom20a^{2-0}b^0+\binom21a^{2-1}b^1+\binom22a^{2-2}b^2 = \underline{1}a^2 + \underline{2}ab+\underline{1}b^2[/tex]
Each row starts and ends with 1, and every coefficient in between is obtained by adding the coefficients directly above and to the left. The next row, for instance, would be
1 1 + 4 4 + 6 6 + 4 4 + 1 1
or
1 5 10 10 5 1
which is to say,
[tex]\displaystyle (a + b)^5 = \underline{1}a^5+\underline{5}a^4b+\underline{10}a^3b^2+\underline{10}a^2b^3+\underline{5}ab^4+\underline{1}b^5[/tex]
In your case, we have (d - 4b)², so we take a, b, and n above with d, -4b, and 2, respectively:
[tex]\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k d^{2-k} (-4b)^k[/tex]
[tex]\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k (-4)^k d^{2-k} b^k[/tex]
[tex]\displaystyle (d - 4b)^2 = \binom20 (-4)^0 d^{2-0} b^0 + \binom21 (-4)^1 d^{2-1} b^1 + \binom22 (-4)^2 d^{2-2} b^2[/tex]
[tex]\displaystyle (d - 4b)^2 = 1\cdot1\cdot d^2\cdot1 + 2 \cdot (-4) d \cdot b + 1 \cdot 16 \cdot 1 \cdot b^2[/tex]
[tex]\boxed{(d - 4b)^2 = d^2 - 8bd + 16b^2}[/tex]
solve the equation on the interval [0,2pi)
can someone please explain and help me with this problem
{(2,12), (3,8), (4,6)}
constant:
equation:
Answer:
y = x² - 9x + 26
hope to help!!
720 inches per second to miles per minute
Answer:
0.681818 miles per min
Step-by-step explanation:
Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotent.
A local business charges $20 to set up their sweatshirt printing machine with the design and $9.75 in materials per sweatshirt to print.
1. Write an equation for the average cost A(x) of printing x sweatshirts through this company.
2. Describe what happens to the average cost per sweatshirts as more and more are printed.
What is the conjugate of the binomial squareroot 6+4
Answer:
We solve 6 + 4
6 + 4 = 10.
Square root of 10:
Step-by-step explanation:
Isaiah is saving 12$ per week from his allowance. after 20 weeks, Isaiah has 240$
Answer: He saved $12 per week
Step-by-step explanation:
I am confused you basically solved your own question but here is the explanation.
Isaiah gets $12 per week in his allowance, every two weeks he gets $24, so in twenty weeks he would have save $240. Here is an equation.
2W*10 = $240
W = weeks
2 weeks = $24*10 = $240
I hope this helps in anyway
Help help help math math
Answer:
V = 500 cm³
Step-by-step explanation:
V = 4/3 πr³
V = (4/3) × 3 × (5 cm)³
V = 4 × 125 cm³
V = 500 cm³
Vern has a collection of pennies, nickels, and dimes. The ratio of the number of pennies to the number of nickels is $9:2,$ and the ratio of the number of nickels to the number of dimes is $3:4.$ If the total worth of Vern's collection is $\$10.96,$ then how many coins do they have in total?
Let be the number of pennies, be the number of nickels, and be the number of dimes that Vern has. The given ratios tell us that and Therefore, so we haveTo turn this into a ratio of integers, we multiply every part of the ratio by Doing this, we see that Therefore, we can think of Vern's collection as consisting of several groups, each of which contains pennies, nickels, and dimes. Let be the number of such groups of coins that Vern has. Then Vern has pennies, nickels, and dimes. Since a penny is worth cent, a nickel is worth cents, and a dime is worth cents, the total worth of Vern's coins in cents is However, we know Vern has or cents, so we can write an equation:Simplifying the left-hand side, we get Dividing both sides by we get This tells us that Vern has groups of coins, for a total of coins.
328
20 points.
The midpoint of AB is (-9, -10) and the coordinates of point A are (-1, 9) what are the coordinates of point B?
Answer:
B = (-17, -29)
Step-by-step explanation:
The midpoint (M) of AB is ...
M = (A +B)/2
Solving for B gives ...
B = 2M -A = 2(-9, -10) -(-1, 9) = (-18+1, -20 -9)
B = (-17, -29)
Write an equation using point-slope for
(-2, -3), (-1,6)
Step-by-step explanation:
please mark me as brainlest
Matthew is shrinking
a photograph picture
with an area of 8
square inches on the
computer. He plans
to reduce the area by
25%. What will be the
area in square inches
of the reduced
photograph?
If you buy three of the ABC bonds with $10 commission for each, how much will it cost? a. $3142.50 b. $1047.50 c. $3172.50 d. $1077.50
The computation shows that the cost of each bond is A. $3142.50.
How to solve the cost?From the complete information given, the price of the bond is given as $2856.80 each.
Therefore, with the commission, the price will be:
= $2856.80 + (10% × $2856.80)
= $2856.80 + $285.68
= $3142.50
In conclusion, the cost of each bond is $3142.50.
Learn more about cost on:
https://brainly.com/question/25109150
Answer:
it's A
Step-by-step explanation:
maybe
Answer the ones you want to. Answer at least one.
Have no idea how to do this. Please help I beg you.
Answer:
For 8 b, draw 36 squares and for 8 c, it would be 144:)
Which event is important enough to include in a summary of this
story? Add the event to the chart.
D Event
Event
Event
Hester gives Ms.
Walker the letter
explaining her idea.
Ms. Walker agrees
to consider
Hester's idea.
?
Hester repeats a
*) phrase in her mind
over and over.
D
Hester packs up
her things when
the bell rings.
D
Hester returns to
her desk to read
her book.
Hester learns
about another way
to boost her grade.
When making a summary, it is important to read and understand the text which you are writing.
What is a Summary?This refers to the concise representation of the main points of a literary text without the use of bias.
Hence,w we can see that because the question is incomplete, you would need a general overview to understand it, so it would be best if you:
Read the given textUnderstand the plot and characterizationFollow the Rising Action, Climax, and Falling ActionList out the main pointsThen, join them in order of occurrence.Read more about summary here:
https://brainly.com/question/25605883
#SPJ2
Which of the following equations could be the result of using the comparison method to solve the system shown?
x + 2y = 6
x - 4y = 8
2y - 6 = 4y + 8
6 - 2y = -4y + 8
6 - 2y = 4y + 8
Answer:
6 -2y =4y + 8
Answer: 6 -2y =4y + 8
Step-by-step explanation:
what is the answer to 'Which problem would be solved using multiplication, and what is the solution to the problem?'
Answer:
Jim is 12 years old. Anna is 3 times older than Jim. Calculate Anna’s age using multiplication.
Step-by-step explanation:
The problem above is solved by using multiplication and the solution to the problem is 36.
you multiply 12 * 3 and you get 36.
hope that helps!
rachel got prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 22 cents per yard. If after that purchase there was $19.88 left on the car, how many yards of ribbon did rachel buy.
Answer:
46 yards.
Step-by-step explanation:
Subtract the new balance from the original balance:
30.00 - 19.88 = 10.12
Therefore, Rachel spent $10.12
Divide the result by the cost of ribbons per yard:
10.12 ÷ 0.22 = 46
Therefore, Racheal bought 46 yeards of ribbon.
Which statements are true for a reflection? Choose all that apply. ________________________________________________________________________________________________________________________________________
The distance between corresponding points in the image and pre-image is constant.
The orientation of points on the polygon is preserved by the transformation.
The angle measures between sides on the polygon are preserved by the transformation.
The distances between points on the polygon are preserved by the transformation.
Answer:
The last 2
Step-by-step explanation:
Please help!!! No links!!! Solve the system of equations below by graphing both equations with pencil and paper! What is the solution?? Use the photo below!!!
noah neck wth noah neck
Answer:
a meme
Step-by-step explanation:
Answer:
meem
Step-by-step explanation:
meet bc it is crazy and I luv it
PLEASE HELP!! question in picture
Answer:
you speak English or Espanol? I dont wanna answeri with the wrong language
compare. 2 1/4 and 3 /14
Answer:
[tex]\frac{1}{4}[/tex] is larger than [tex]\frac{3}{14}[/tex]
[tex]\frac{1*14}{4*14}[/tex] = [tex]\frac{14}{56}[/tex]
[tex]\frac{3*4}{14*4}[/tex] = [tex]\frac{12}{56}[/tex]
i cant tell if it is [tex]\frac{1}{4}[/tex] or 2 [tex]\frac{1}{4}[/tex]
but if it is 2 [tex]\frac{1}{4}[/tex] that mean this is a mixed number
and [tex]\frac{3}{14}[/tex] is a proper fraction
Kelly bought cups for home. Each cup cost $3. He gave
$40 to the cashier and got $13 back in change. How many
cups did she buy?
Answer:
40-13=27
3*9=27
She bought 9 cups.
Brainliest plz
simplify the expressions 4y+2x-y+8
Hey there!
4y + 2x - y + 8
= 4y + 2x - 1y + 8
COMBINE the LIKE TERMS
= (4y - 1y + (2x) + (8)
= (4y - y) + (2x) + (8)
= (2x) + (4y - y) + 8
= 2x + 3y + 8
Therefore, your answer is: 2x + 3y + 8
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
3y+2x+8
Step-by-step explanation:
All you really do is combine the like terms, which in this case is the 3y and the -y. think of the y more as -1y and that is why it's subtrcated.
Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
6(1/2w -3/4)
Answer:
Y= 3w-4.5
Step-by-step explanation:
Find the value of x so that the ratios are equivalent.
9:x and 54:8
Answer:
1 and 1/3.
Step-by-step explanation:
Just ask!
Hope this helps...(sorry if I'm wrong.)
(✿◡‿◡) HAPPY HOLIDAYS!!!
1. 81 1/2 x 27 1/3
2. 32x = 729
Answer:
1.
Step-by-step explanation:
1. 1.811/2=3.622 271/3=813
3.622*813=2,944.686
this is number one
2. 32x=729
divide both sides by 32
32x=729/32=
22.78125 approximate=22.8 or 23