Answer:
1) [tex]49 {a}^{2} - 16 {b}^{2} [/tex]
2) [tex]251502[/tex]
Step-by-step explanation:
a) Question :-[tex](7a - 4b)(7a + 4b)[/tex]
Identity used here :-[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
So,
[tex](7a + 4b)(7a - 4b)[/tex]
[tex]=> {(7a)}^{2} - {(4b)}^{2} [/tex]
[tex]=> 49 {a}^{2} - 16 {b}^{2} [/tex]
b) Question :- [tex]501 \times 502[/tex]
Identity used here :-[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab[/tex]
So,
[tex]501 \times 502 = (500 + 1)(500 + 2)[/tex]
[tex] = > {(500)}^{2} + (1 + 2)500 + 1 \times 2[/tex]
[tex] = > 250000 + 1500 + 2[/tex]
[tex] = > 251502[/tex]
I need help thank you
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
we can find angle C b/c the angles of a triangle always add to 180 , soo
180= C + 81 +63.5
35.5 = C
now that we have angle C and we know the Hyp we can use sin to find side g
where g = Opp and Hpy = 13.8 for this question
Sin(35.5) = Opp / 13.8
13.8*Sin(35.5) = Opp
8.0137 = Opp
g = 8.0137
next they ask for the area of the biggest triangle ABC ( there are two smaller ones when you use D )
we can use 1/2 * base * height , but we don't know the base yet, even thou we do know the height.
we can solve for line segment CD and DB and then add them for the side a .. or the base of the biggest triangle sooo.. CD = adj
Cos(35.5) = Adj / 13.8
13.8*Cos(35.5) = Adj
11.234794 =Adj
now solve for DB using cos again but with the other smaller triangle where Adj = DB now
Cos(63.5) = Adj / 8.9
8.9*Cos(63.5) = Adj
3.971160
add these two Adjs together to get the total 'a' side
15.205954
now plug in side a as the base and g as the height of our biggest triangle
Area = 1/2 * 15.205954 * 8.0137
Area = 60.9159
rounded to 2 sig figs
Area = 60.92 :) hope you get an "A" :P
Simplify the question
Answer:
The answer is 17x^2 + 4x - 2
if you click the image it will give you a better look at the answer just in case. Hope's this helps :)
Which organisms is an example of a producer?
Answer: Leaves
Step-by-step explanation:
What inverse operations do you use to solve for b?
-9 = -11 + b/8
Answer:
I would use multiplication
Step-by-step explanation:
Multiplication is the opposite of dividing.
Find an overestimate for 33 x 67 by adjusting each factor up to the next ten
Answer:
210 Is my estimate
Step-by-step explanation:
HELP ASP!!!
The x value of the solution to the system of equations is_____ and the y-value is_____.
DO NOT ANSWER IF YOU DONT KNOW THE ANSWER.thank you
Answer:
uuruehehejhruebejebehhrrifbfj
Step-by-step explanation:
irj4j4jrbrurbrjrbru=&=&&=&
Answer: i think its anime god
The ff data shows the weights of preschool children in a private school in kilograms: 15, 15.5, 18, 18.3, 19, 19.3, 18, 22, 21, 21, 22, 22.5. Find the 95% confidence interval for the true mean.
Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is (5 points) Group of answer choices −7 negative 1 over 7 1 over 7 7
Answer:
1/7
Step-by-step explanation:
Given that :
Line AB contains points A (8, −4) and B (1, −5)
Slope = Rise / Run
Rise = y2 - y1 = - 5 - (-4) = - 5 + 4 = - 1
Run = x2 - x1 = 1 - 8 = - 7
Slope = Rise / Run = - 1 / - 7
Slope = 1/7
3(2x - 5)(x + 4) = 0 The zero product property tells us that:
Answer:
x=5/2, -4.
Step-by-step explanation:
3(2x-5)(x+4)=0
(2x-5)(x+4)=0/3
(2x-5)(x+4)=0
2x-5=0, x+4=0
2x=0+5,
2x=5,
x=5/2,
x+4=0
x=0-4=-4
Lakmini decided to measure the circumference of the Earth
using a very long tape measure. She held the tape measure
Im from the surface of the (perfectly spherical) Earth all the
way round. When she had finished her friend said that her
measurement gave too large an answer and suggested taking
off 6 m. Was her friend correct?
[Take the radius of the Earth to be 6400 km (if you need it).]
Answer:
Step-by-step explanation:
[tex]\Delta C=2\pi(r_2-r_1)\\ \\ \Delta C=2\pi(6400001-6400000)\\ \\ \Delta C=2\pi\\ \\ \Delta C\approx 6.283m\\ \\ \text{So taking off 6 meters is reasonable.}[/tex}
sea f(x)=3x3+5x, calcule f(5) + f(3)
Answer:
496
Step-by-step explanation:
please help me ill mark you brainliest and please show your work :)
If the diagonals of a quadrilateral are congruent, is the quadrilateral always a rectangle?
Answer:
Yes
Step-by-step explanation:
The only quadrilaterals with congruent diagonals are squares and rectangles and squares are technically rectangles so the answer is yes.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
What is a quadrilateral?The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.
It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral can be a square or a rectangle.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
#SPJ5
PLZZZZZZZZZZ i said plzzzzzzzzzzzzzzzzz
Answer:
136
Step-by-step explanation:
Answer:
136
Step-by-step explanation:
90+46
Plz helpppppppppppppp helpppppppppppppp
Answer:
(A).option is correct..54cm2
What is the cost difference between 6.75 and 8.75
The Maplewood Symphony Orchestra sold 146 tickets and
collected a total of $1036 in ticket sales. Admission was $5 for
children, x, and $8 for adults, y. How many children
tickets were sold?
Answer:
44 children tickets
Step-by-step explanation:
This is a system of equations. I solved for y, the amount of adult tickets sold which equals 102. To get the amount of children's tickets, subtract 102 from 146 to get 44.
The sum of N terms of an arithmetic sequence with first term as 1 and common difference of 2 is 9801. Calculate the value of N.
Answer:
gngngngngngngngngngng
Answer:
n = 99
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 1 , d = 2 and [tex]S_{n}[/tex] = 9801 , then
[tex]\frac{n}{2}[/tex] [ (2 × 1) + 2(n - 1) ] = 9801 ( multiply both sides by 2 to clear the fraction )
n(2 + 2n - 2) = 19602
n(2n) = 19602
2n² = 19602 ( divide both sides by 2 )
n² = 9801 ( take the square root of both sides )
n = [tex]\sqrt{9801}[/tex] = 99
The number of terms summed is 99
what is the value of 5 in 102,587
Evaluate
( 2/10 ) ^3
1. 1/5
2. 6/30
3. 8/1,000
Answer:
3. 8/1,000
( I hope this was helpful) >;D
What is the value of 80-5(x^2-y)+y when x=4 and y=6
Answer:h
Step-by-step explanation:
PLEASE HELP IM BEGGING YOU!!! Team Integrity kids were supposed to go on a field trip to an ice rink. The cost was $12 per student for tickets, and $10 per student for food. The team paid $50 for buses. Write an expression to represent the total cost of this field trip for the entire team. Identify what your variable represents. *
Find the circumference of a circle with radius, r = 10.5m.Give your answer in terms of π
.
Answer:
Circumference of circle =2πr=2π×10.5=21πm
Step-by-step explanation:
Suppose a shoe factory produces both low-grade and high-grade shoes. The factory produces at least twice as many low-grade as high-grade shoes. The maximum possible production is 500 pairs of shoes. A dealer calls for delivery of at least 100 high-grade pairs of shoes per day. Suppose the operation makes a profit of Birr 2.00 per a pair of shoes on high-grade shoes and Birr 1.00 per pairs of shoes on low-grade shoes. How many pairs of shoes of each type should be produced for maximum profit?
Answer:
The factory should produce 166 pairs of high-grade shoes and 364 pairs of low-grade shoes for maximum profit
Step-by-step explanation:
The given parameters for the shoe production are;
The number of low grade shoes the factory produces ≥ 2 × The number of high-grade shoes produced by the factory
The maximum number of shoes the factory can produce = 500 pairs of shoes
The number of high-grade shoes the dealer calls for daily ≥ 100 pairs
The profit made per pair of high-grade shoed = Birr 2.00
The profit made per of low-grade shoes = Birr 1.00
Let 'H', represent the number of high grade shoes the factory produces and let 'L' represent he number of low-grade shoes the factory produces, we have;
L ≥ 2·H...(1)
L + H ≤ 500...(2)
H ≥ 100...(3)
Total profit, P = 2·H + L
From inequalities (1) and (2), we have;
3·H ≤ 500
H ≤ 500/3 ≈ 166
The maximum number of high-grade shoes that can be produced, H ≤ 166
Therefore, for maximum profit, the factory should produce the maximum number of high-grade shoe pairs, H = 166 pairs
The number of pairs of low grade shoes the factory should produce, L = 500 - 166 = 334 pairs
The maximum profit, P = 2 × 166 + 1 × 364 = 696
is it a function? and explain briefly why
Answer:
No
Step-by-step explanation:
Each output can only have one input
ABC is dilated by a factor of 1/2 to produce AA'B'C!
helpppppp
Answer:
abc
Step-by-step explanation:
abc
Answer:
B
Step-by-step explanation:
A P E X
what should be subtracted from 3 by 5 to get 1 by 5
Answer:
2/5
Step-by-step explanation:
Hope this helps you!!!
Answer:
2/5.
Step-by-step explanation:
because
3/5+2/5= 1
so, 2/5 will be the answer.
I hope this helps :)
Como que c faz conta de raiz quadrada?
Answer:
could u say it in english and is it a multiple chice?
Step-by-step explanation:
A certain hurricane travels at 20.88 kilometers per hour. The distance
from Cuba to Key West is 145 kilometers. Write and solve a multiplication
equation to find about how long it would take the hurricane to travel from
Cuba to Key West.
Answer:
6.94 hours
Step-by-step explanation:
20.88 = 145/t
20.88t = 145
t=145/20.88t
t=6.94
Answer:
6.94 hours
Step-by-step explanation:
Please help! will give brainliest!!
Answer:
For every 1 flip flop, it's $4?
Step-by-step explanation:
I'm not sure what the question is, so I'm just guessing.
Answer:
y = 4x
Step-by-step explanation:
y = profit from flip flops
x = flip flops
4 = constant rate, or slope, of the function