help please i really need this done
Answer:
x = 33°
Step-by-step explanation:
x = 180° - 80° - 67° = 33°
Pedro throws a ball upward at a rate of 20 meters per
second from an initial height of 2 meters. The height
of the ball above the ground can be approximated by
h = -512 + 20t + 2, where t represents the amount of time,
in seconds, since the ball has been released.
What is the maximum height that the ball reaches?
Answer:
The maximum height that the ball reaches is of 3.96 meters.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
The height after t seconds is given by:
[tex]h(t) = -51t^2 + 20t + 2[/tex]
Which is a quadratic equation with [tex]a = -51, b = 20, c = 2[/tex]
What is the maximum height that the ball reaches?
This is [tex]h_v[/tex].
[tex]\Delta = b^2-4ac = 20^2 - 4(-51)(2) = 808[/tex]
[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{808}{4(-51)} = 3.96[/tex]
The maximum height that the ball reaches is of 3.96 meters.
2). The scale factor of two regular octagons is 52. Find the ratio of their
perimeters and the ratio of their areas, *
Answer:
Step-by-step explanationBy definition we have that the area of a regular octagon is:
A = 4.83L ^ 2
Where, L is the length of the octagon side.
the similarity ratio = the area ratio.
We have then:
similarity ratio = (50) / (18) = 25/9.
the ratio of the perimeters
A1 = 4.83L1 ^ 2
L1 ^ 2 = A1 / 4.83
L2 ^ 2 = A2 / 4.83
L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9
L1 / L2 = 5/3
The perimeter is:
P1 = 8L1
P2 = 8L2
P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3
answer:
similarity ratio:
25: 9
the ratio of the perimeters:
5: 3
helpp i beg u its due in one hour!!! plz
Answer:
113.1 cm²
Step-by-step explanation:
we are given the diameter of the circle (length is 12 cm), and the formula for the area of the circle, which is πr², where r is the radius
so first, we need to find the radius
the length of the radius is half the length of the diameter
so that means that r=d/2
r=d/2
r=12/2
r=6
therefore the length of the radius is 6
now square 6, which is the same as multiplying it by itself
6²=36
now, multiply the radius squared by π, which is often substituted for as 3.14 or 22/7
so if we were to do 22/7 for instance,
36*22/7≈113.14
round that to 113.1
there's your answer :)
Hope this helps!
25 - [2x(18 divided by 3) + 2
Answer:
the answer is 11
Step-by-step explanation:
if you take 18 divided by 3 and then 2 times that plus 2 and minus 25 it is 11
True or false: If your expression contains more than one set of parentheses, you should evaluate all of them before doing anything else.
Answer:
The answer to the above question would be true
4.
What would be the purchase price for a $5,000, 91-day T-bill paying 3%
interest?
a. $4,925.00
b. $4,962.50
C. $5,000.00
d. $5,037.50
Answer:
B
Step-by-step explanation:
A = P(1+i/n)^t
5000 = P(1+0.03/(361.3/91)^1 361.3 ??? it worked
P = 5000/1.007556048
P = $4962.50309
the 91 day T-bill confused by financial calculator which got $4962.78 for a quarterly compound interest rate
Does the set of points represent a function? Explain.
The owner of a store buys wooden benches for $50 each. She marks up the
price by 75%. At the end of the season, she sells the remaining benches for
30% off. How much profit does the owner make on each bench at the end of
the season? Show your work
Answer:
Step-by-step explanation:sdf
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answer:
A.
Step-by-step explanation:
it is the only one that makes sense, because it deals with 8th graders, all others include gender which i do not think that matters.
A patio of a house is 16 feet by 12 feet. The area of the patio is square feet.
Answer:
192
Step-by-step explanation:
16 * 12 = 192 square feet
brainliest please??
there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20
Answer:
1033.2 g or 1.033 kg
Step-by-step explanation:
(620/12)(20) = 1033.2 g
look at pic 10 pts will mark brainilest
Answer:
A) The width is 12 cm; the average time is 3 minutes
Step-by-step explanation:
[tex]\frac{5}{3}= \frac{20}{y}[/tex]
Cross multiply.
5 × y = 3 × 20
5y = 60
5y ÷ 5 = 60 ÷ 5
y = 12
The width is 12 cm. Moving onto the time.
[tex]\frac{12}{4} =\frac{y}{1}[/tex]
Cross multiply.
4 × y = 12 × 1
4y = 12
4y ÷ 4 = 12 ÷ 4
y = 3
The time is 3 minutes.
Answer:
answer is d sorry if I'm wrong
The area of a triangle is 20 square feet.
What are the height and base of the
triangle?
Pls help need answers quick
find the least common multiple of 10,15,25 please no links or photo
Answer:
150
Step-by-step explanation:
The LCM of 10,15,25 10 , 15 , 25 is 2⋅3⋅5⋅5=150 2 ⋅ 3 ⋅ 5 ⋅ 5 = 150 .
2. Which number is irrational?
A. 319
B. 93
C. 419
D. 94
PLEASE I NEED HELP
If f(x) = x/2 -3 and g(x) = 4x2+ x - 4, find (f+g)(x). A. 4x2 + 3/2x-7 B. 4x2 + 1/2x - 1 C. 6x2 - 7 D. 4x2 + 3/2x -1
Answer:
A.
[tex]4x {}^{2} + \frac{3}{2} x - 7[/tex]
Step-by-step explanation:
Add theses functions
[tex] \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7[/tex]
Solve the system using subtraction
X+4y =26
4x+5y=27
Please help explain how to do this with finding correct answer
Which quadrilaterals always have two pairs of congruent angles?
Answer:
A kite is a quadrilateral with exactly two pairs of adjacent congruent sides
Step-by-step explanation:
yw!!
I need help fast please answer!
Answer:
B
Step-by-step explanation:
helppppppppppppppppppp
Answer:
X =64
Step-by-step explanation:
Malia owns 1 out of 3 gas stations in Jasper. In Webster, Abby owns 6/25 of the gas stations. Who owns a greater fraction of gas stations in her area?
Malia or Abby?
Answer:
I think it would be Malia but if I'm wrong please let me know.
A jar has 6 red marbles and 4 blue marbles. If 2 marbles are chosen, one at a time without replacement, what is the probability that both marbles will be red
1/3 Probability both are red
red picked first:
6/10
red picked second:
5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)
6/10 * 5/10 = 1/3
Hope that helps!!
Bob wants to buy a car. He puts $8,000 in a savings account that has a
simple interest rate of 4%. If he leaves his money in the account for 3
years, how will be in his account in TOTAL after 3 years?"
A-$960
B-8,960
C-7,040
D-$320
9514 1404 393
Answer:
B. $8,960
Step-by-step explanation:
Use your number sense.
If the account earns interest, the balance will increase from the initial deposit of $8000. The only sensible answer choice is B, $8960.
__
If you want to actually figure it out, the balance is given by ...
A = P(1 +rt)
A = 8000(1 +0.04·3) = 8000(1.12) = 8960 . . . . matches choice B
Mark and Doug work at the mall. Last week,
Mark worked five less than three times the
number of hours that Doug worked. If their total
number of combined hours was 13 more hours
than Mark worked, how many hours did they
work in total?
If Mark and Doug work at the mall and their total number of combined hours was 13 more hours than Mark worked, The number of hours they work in total is 47 hours.
How to find the hours worked?Let x represent the time Doug worked
let 3x - 5 represent the number of hours Mark worked
Hence,
x + 3x - 5 = 3x -5 +13
4x-5=3x-5+13
4x-5=3x+8
Add 5 to both side
4x-5+5 =3x+8+5
simplify
4x =3x +13
subtract 3x from both side
4x -3x = 3x + 13 =3x
1x = 13
x =13/1
x =13 (Doug)
Hence,
3x -5 where x = 13
3 (13) -5
= 39 -5
= 34 hours (Mark)
Total hours
(Doug + Mark)
= 13 hours + 34 hours
= 47 hours
Therefore the total hours is 47 hours.
Learn more about hours worked here:https://brainly.com/question/568252
#SPJ1
8. What is the value of x? Pls show work thank you
Answer:
hi
Step-by-step explanation:
[tex]7x - 15 + x= 180 \\ 8x = 180 + 15 \\ 8x = 195\\ x = 24.375 \\ x + 28 + 4x - 3 + 24 = 180 \\ 5x = 180 - 28 + 3 - 24 \\ 5x = 131 \\ x = 26.2[/tex]
i think so
hope it helps
have a nice day
What is the value of x?
Answer: 15
Step-by-step explanation:
x-6/(x-6)+3 = x/x+5
The x in the equation is 15
Referring to the figure, find the value of x
Answer:
x=23
Step-by-step explanation:
solved the variable
Answer:
x = 23
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 3x + 3 + 85 = 180
4x + 88 = 180
4x = 180 - 88
4x = 92
x = 23
At 4.5 miles per hour, how long will it
take him to walk 18 miles?
Answer:
4 hours
Step-by-step explanation:
If he walks at 4.5 mph, then it will take him 18/4.5 hours to walk 18 miles. 18/4.5 is equal to 4.
look at pic 10 pts will mark brainilest
Answer:
B. 160 minutes
Step-by-step explanation:
200/5=40
40*4=160
Answer:
160
Step-by-step explanation:
You would have to divided the recent pages (200) with the previous (5)
and you would get 40 and then you would multiply the divided amount page with the 4 minutes and you would get 160
How it was worked out:
200 / 5 = 40, 40 x 4 = 160