Answer:
C≈25.13ft
Step-by-step explanation:
C=2πr=2·π·4≈25.13274ft
An Olympic diver is competing for a medal. His height in feet above the water
can be modeled by the function f(x)= -2(x-5)(x+1), where x is the time in seconds
after he begins the dive. Find how long it takes the diver to reach the water?
It takes the diver 5 s to reach the water.
Quadratic equationsThese are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)
Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.
The diver reaches the top of the water when f(x) = 0.
So, equating f(x) to zero, we have
f(x) = 0
-2(x-5)(x+1) = 0
Dividing through by -2, we have
(x-5)(x+1) = 0
So, (x - 5) = 0 or (x + 1) = 0
x = 5 or x = -1
Since time cannot be negative, x = 5 s.
So, it takes the diver 5 s to reach the water.
Learn more about quadratic equations here:
https://brainly.com/question/24860429
alex earned $ 20.40 in three hours what is the unit rate in dollars per hour
Divide total made by total hours:
20.40 / 3 = $6.80 per hour
Answer:
See below.
Step-by-step explanation:
Divide the amount of money by the time.
20.4/3=6.8
So, alex earned $6.80 per hour.
-hope it helps
Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.
Answer:
Dimension 1 = 12 x 8
Dimension 2 = 14 x 6
Chris should choose Dimension 1
Step-by-step explanation:
Perimeter of a rectangle = 2 × width + 2 × length
= 2(width + length)
Given:
perimeter = 40m⇒ 40 = 2(width + length)
⇒ width + length = 20 m
Therefore, possible dimensions:
Dimension 1 = 12 x 8 (as 12 + 8 = 20)Dimension 2 = 14 x 6 (as 14 + 6 = 20)We need to calculate the area of both choices. The choice with the greatest area will allow the most vegetables to be planted.
Area of Dimension 1 = 12 x 8 = 96 m²Area of Dimension 2 = 14 x 6 = 84 m²Therefore, Chris should choose Dimension 1 (12 x 8).
What is the perimeter of the square?
96cm
Step-by-step explanation:
From the question,
Area of rectangle(A) =Area of square(A)
or,32*18=Area of square
or, 576= l^2
or√576=l
or, 24cm
Now, we know,
Perimeter of the square=4l
=4*24cm
=96cm
Amir is a collector. He currently has 397 rare stamps. Amir wants to double his collection. How many stamps will be in Amir's collection?
stamps
Answer:
794 stamps in his collection
Step-by-step explanation:
If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2
397(2) =794 stamps
Answer:794
Step-by-step explanation:
397x2=794
These graphs show the cost C for ordering n homecoming dance invitations from two doffer Companies
Do you have a picture of the mathmatic problem?
what does 13.2 − 1.78 equal
Step-by-step explanation:
Answer:
11.42
Step-by-step explanation:
pls help! no links
A spy realizes his cover is blown and flees toward his secret
evacuation spot at a speed of 60 mph. Two hours later, a special
agent in a helicopter starts chasing the spy. The special agent travels
the same route at a speed of 90 mph.
What distance does the spy cover in t hours?
Answer:
60t = y
t; time in hours
60: Speed of the spy fleeing
y: how far he has gone in t hours
Hope this helps!
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Have a great day!!
help me with this please
Answer:
B and C
Step-by-step explanation:
Answer:
-15/-3,-5/-1
Step-by-step explanation:
please mark me as brainlest
is this right? please tell me :) asap!!
Answer:
A
Step-by-step explanation:
calculate 20% of $88
[tex]\frac{20}{100}[/tex] × $88 = 0.2 × $88 = $17.60
please help!!!!!!!11
Answer:
a = 6 , b = 5
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
then
[tex]\sqrt{180}[/tex]
= [tex]\sqrt{36(5)}[/tex]
= [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex]
with a = 6 and b = 5
PLEASE HELP! ASAP!!!!!
Answer:
A, E, B
Step-by-step explanation:
can someone help me please? I don't understand what I need to do
Answer:
You need to find what X= then put the answer in the box to the left
Step-by-step explanation:
Solve the system using substitution
y+8x=10
2y-4x=40
(_,_)
Step-by-step explanation:
i used the two methods....I hope this will help you!
simplify the expressions by applying the properties of potentiation...
Answer:
[tex] \dfrac{x^5}{y^{10}} [/tex]
Step-by-step explanation:
[tex] \dfrac{x^2y^{-6}}{x^{-3}y^4} = [/tex]
[tex] = x^{2 - (-3)}y^{-6 - 4} [/tex]
[tex] = x^5y^{-10} [/tex]
[tex] = \dfrac{x^5}{y^{10}} [/tex]
Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Corresponding angles converse
Consecutive interior angles theorem
Vertical angles theorem
Transitive property of congruence
The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel
What is an angle?
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse, right angle.
The consecutive interior angle theorem states that if a pair of parallel line is intersected by a transversal, the pair of consecutive interior angles formed is supplementary
The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel
Find out more on angle at: https://brainly.com/question/25770607
Proving the Sum of the Interior Angle Measures of a Triangle Is 180°
Answer:
okay that is great.......?
answer:
the full answers for it
Step-by-step explanation:
what is the area of the figure in square units?
Answer:
Area of a Rectangle: l x w
2 x 3 = 6
Area of a Triangle:
[tex] \frac{b \times h}{2} [/tex]
The slanted height of the triangle is 2 and the base of the triangle is also 2 so
[tex] \frac{2 \times 2}{2} \\ \\ \frac{4}{2} = 2[/tex]
So to get the area of the figure you add the area of the rectangle plus the area of the triangle.
6+2=8
The area of the figure is 8 units square
help? can you figure this out?
Answer:
C. Is the answer
Step-by-step explanation:
Hope it helps
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?
Answer:
1/8
Step-by-step explanation:
●●○•°°°□□●○○○○○••••
What is the domain of the function in this table?
х
2
3
4
5
у
5
8
11
14
.For any positive integer n, prove that n^3 - n is divisible by 6.
Answer:
Step-by-step explanation:
(PLEASE HELP)(THIS IS MIDDLE SCHOOL LEVEL EASY!) What is the surface area of the box
Answer:
C) 42 square cm
Step-by-step explanation:
each rectangle 2x3 = 6
each square 3x3 =9
4 rectangles 4x6 = 24
2 squares 2x9=18
24+18 = 42
find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help
Answer:
Its 452.16
Step-by-step explanation:
Because the formal is [tex]\pi[/tex]r2
Which is 3.14*12*12=452.16
help me please if you know it
Which equation could be used to solve for the length of side c, given a = 5, b = 12, and C = 72°?
Answer:
The value of the length of the side C is 11.49.
Step-by-step explanation:
Cosine formula is applicable.
c² = a² + b² -2abcos(C)
substitute the values:
c² = (5)² + (12)² -2(5)(12)cos(72)
= 25 + 144 - 2 (60) (0.309)
= 169 - 37.08
c² = 131.92
square root both sides:
c = sqrt(131.92)
C = 11.49
Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping.
How much roping does he purchase?
Leo plans to add gold leaf to the sides of the stand but not to the two bases.
What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.
Answer:
A: 45 5/16
B: The present of the area as 83%
Step-by-step explanation:
(a)
35= 3+3+3.2x+3.2x+3.2x+3.2x
35= 6 + 12.8
29/12.8 +12.8x/12.8
X=2.265625 = 2/12/64
1x = 2 17/64 * 4 + 9 1/16
P = 45 5/16
(b)
The present of the area as 83%
35 – the bases or 6 = 29
29/35 + 0.82857142857
0.82857142857 * 100 = 82.8571428571
Rounded to the nearest whole number is 83%
Determine the solution to each linear system by using the substitution method
3x+2y=4
2x-y=5
Answer:
The solution is x = 2
Step-by-step explanation:
i) 3x+2y=4
ii) 2x-y=5
Let's isolate y for the second equation
2x-y=5
2x-5 = y
y = 2x-5
Now use this y and substitute it in the first equation.
3x+2y=4
3x + 2(2x-5) = 4
3x + 4x - 10 = 4
7x / 7 = 14 / 7
x = 2
Which statements accurately describe the triangles? Check all that apply.
The common ratio between the triangles is because
3 ** -3,
The common radio between the langles is 2.5 because -25,
The triangles could be similar
The triangles could not be similar
The ratio of the sidelengths are not consistent
The ratio of the side lengths are consistent
Answer:
the ratio of the side lengths are consistent
A irrational number less than 0
Minus square root of 2, minus square root of 3, minus pi, minus e, etc. Or, to be a bit more fancy, 1 - pi, 2 - pi, 3 - pi, pi - 4, pi - 5, 2 - e, e - 3, square root of 2 minus 2, etc.
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