Answer:
The maximum height is 46.64 feet.
Step-by-step explanation:
If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.
So, we have the function h(t):
[tex]h(t)=-16t^{2} + 45t + 15[/tex]
Taking the derivative, we have:
[tex]\frac{dh(t)}{dt}=-32t + 45=0[/tex]
Now, we solve it for t:
[tex]t=\frac{45}{32}=1.4\: s[/tex]
Finally, we put this value of t into the original equation.
[tex]h(t)=-16(1.4)^{2} + 45(1.4) + 15[/tex]
[tex]h_{max}=46.64\: ft[/tex]
Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.
I hope it helps you!
The perimeter Of a rectangle is 30 inches if it’s Lance is three times it’s width find the dimensions.
Answer:
Width: 3.75
Length: 11.25
Answer:
the width is 3.75 inches. The length will be 3*3.75=11.25 inches.
Step-by-step explanation:
30 inches=2(L+W) Divide each side by 2. 15 inches=L+W Substitute for L.
Urgent please help..
allel...
10. If the midpoints of the sides of AEFG shown below were connected with line segments, what would be the
perimeter of the resulting triangle? Explain how you arrived at your answer.
allel...
E
arall...
of a T...
170 mm
83 mm
110 mm
Answer:
Perimeter of triangle PQR = 181.5 mm
Step-by-step explanation:
Midsegment theorem states that,
"Midsegment connecting the midpoints of the two sides of a triangle is parallel and half of the length of the third side"
From the figure attached,
PQ = [tex]\frac{1}{2}(EF)[/tex]
= [tex]\frac{83}{2}[/tex]
= 41.5 mm
PR = [tex]\frac{1}{2}(GF)[/tex]
= [tex]\frac{110}{2}[/tex]
= 55 mm
QR = [tex]\frac{1}{2}(GE)[/tex]
= [tex]\frac{170}{2}[/tex]
= 85 mm
Perimeter of triangle PQR = PQ + QR + PR
= 41.5 + 55 + 85
= 181.5 mm
2(5a+3b)
Does anyone know this?
I'll award brainliest!
Juan downloaded 30 songs from I-Tunes. The following is a table of Juan's songs that
show the types of songs and number of songs that he bought.
Answer:
a) 6:15 or 2:5 (simplified)
b) 9:30 or 3:10 (simplified)
c) For every 30 songs that Juan downloaded, 9 were hip-hop. OR For every 10 songs Juan downloaded, 3 were hip-hop.
Step-by-step explanation:
A ratio compares the relationship of different values in relation to each other.
For part a, we have to see the number of rap songs there are and the number of pop songs there are. According to the chart, there are 6 rap songs and 15 pop songs. Since the question asks for rap songs and then pop songs, the answer must be in this order. The answer would be 6:15. However, we know from multiplication and division that 3 is a multiple of both of these numbers. If both numbers are divided by 3, and therefore simplified, the answer would then be 2:5.For part b, we have to see the number of hip-hop songs there are and the number of total there are. Since the question asks for hip-hop songs and then total number of songs, the answer must be in this order. According to the chart, there are 9 hip-hop songs, but we cannot immediately find the total number of songs. To find this, we must add all of the songs together, which is 9 hip-hop+15 pop+6 rap=30 total songs. So, the answer is 9:30. 3 is a multiple of both of these values, so they can both be divided by 3 to get a simplified answer of 3:10.The sentence in the answer describes the ratio of 9:30 (or 3:10). It also describes the total number of songs compared to how many hip-hop songs Juan downloaded.**I added the non-simplified and simplified answers because I do not know what your teacher is looking for. You should use either of the answers depending on what your teacher asks you for.
what is 1.22+0.34 pls guys
Step-by-step explanation:
1.22+0.34
= 1.56
Hope it will help :)
Answer:
= 1.56
Step-by-step explanation:
1.22 + 0.34 = ?
00.2 + 0.04 = 0.06
0.2 + 0.3 = 0.5
1 + 0 = 1
1 + 0.5 + 0.06 = 1.56
heyy could you help me out with this problem???
Answer:
not sure
Step-by-step explanation:
sorry :/
Situation: You land your dream job. You negotiate a starting salary of $50,500. You are told that you will get a 6% increase in your salary every year.
a. Is this sequence arithmetic or geometric?
b. Find how much your salary will be after the 7th year.
Answer:
it arthmetic and 589166
Step-by-step explanation:
Can anyone help me with this please
I’ll mark you as a brainliest.
marlee drove 60 miles using 2 gallons of gas.Which is the unit rate in fraction form?
Answer:
30 mile per gallon
Step-by-step explanation:
60/2=30
Answer:
30 miles/ 1 gallon
What are the coordinates for (6,5) and hypotenuse 3.
Answer:
the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.
Step-by-step explanation:
Plz help me!!! I'll give brainliest
Answer:
43.4
Step-by-step explanation:
im not sure, if im wrong sorry
What is the total length of her route? Round to the nearest hundredth. (1 mile = 5,280 feet) I NEED THIS NOW PLSSSS
Answer:
Nose inglés perdon
Step-by-step explanation:
A ni idea
Answer:
7240ft = 1.37 mile
Step-by-step explanation:
2450000 in standard form
Answer:
2.45×10 raise to 6 is the standard form
If a square has a perimeter of 36 cm what is the area of the square
Answer:
The perimeter is just the sum of all four sides of the square.
36cm = Side 1 + Side 2 + Side 3 + side 4
Because it's a square, all the sides are the same length, so we can rewrite this as:
36cm = 4*Side
Side = 36cm/4 = 9cm
So to find the area, we multiply a length side, by a width side.
In this case (a square), we have:
Step-by-step explanation:
Answer:
area is 81
squares hav 4 sides which are all equal so divide 36 by 4 to get 9
to find area you do Length*Width so 9*9=81
Step-by-step explanation:
8 The perimeter P of a regular pentagon is 90 cm. What is the length x of each
side?
Answer:
18cm
Step-by-step explanation:
You would do 90/5 which is 18. Each side of the pentagon is 18cm.
Answer:
X = 18
Step-by-step explanation:
This is a regular pentagon, meaning that each side is the same. Now, since we know the perimeter, we can divide that by 5 to find each side's length (x). 90/5 = 18, so the length x of each side is 18.
The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first,
what are the two numbers?
If x represents the smaller number, then which of the following quadratic equations represents the word problem?
Martha is a dog with two puppies, Tucker and Sunny.
Martha weighs 28.5 lb. Martha's weight is 2.5 times
the weight of Tucker. Tucker weighs 1.5 lb more than
Sunny. How much is sunny weight
Answer:
9.9 lb
Step-by-step explanation:
Tucker weight =28.5/2.5=11.4
sunny weight=11.4-1.5=9.9
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CHECK ANSWER
6
If a loan is taken out for $247 at 7% and costs $155.61 in interest, how long was the loan for?
yrs
Answer:
i dont know i am sorry
HURRY PLEASE!! find the lcm of 3x^2-6x-24 and 9x^2-36
Answer:
yeeeeeeeeeeee
Step-by-step explanation:
Answer:
9(x - 2)(x - 4)(x + 2)
Step-by-step explanation:
3x^2 - 6x - 24
= 3(x^2 - 2x - 8)
= 3(x - 4)(x + 2)
9x^2 - 36
= 9(x^2 - 4)
= 9(x - 2)(x+ 2)
So the LCM is:
9(x - 2)(x - 4)(x + 2)
Can someone help me the score for TB: 3 & KC: 7
Answer:
Tampa Bay had 7 points in first quarter and Kansas City had 3.
Step-by-step explanation:
Rounded: KC - 0; TB - 10
Added: 10
Multiplied: 21
Hope it helps!
square abcd has an area of 4m^2. square pqrs has an area of 36m^2. What is the similarity ratio of square abcd to square pqrs
Answer:
1:9
Step-by-step explanation:
what is the unit price of 3.40 and 12
Answer:
??
Step-by-step explanation:
what kind of math is this?
2
Select the correct answer.
Which number is the same as
s(4-1)(23-4-2);
OA. -2
OB.
OC. 2
OD. 32
OE. 512
Reset
Next
Answer:
32
Step-by-step explanation:
The number that has the same value as [tex](4^{-1})(2^3 \div 4^{-2})[/tex] is 32
The numeric expression is given as:
[tex](4^{-1})(2^3 \div 4^{-2})[/tex]
Evaluate the exponents
[tex](4^{-1})(2^3 \div 4^{-2}) = \frac 14 * 8 \div \frac 1{16}[/tex]
Express as products
[tex](4^{-1})(2^3 \div 4^{-2}) = \frac 14 * 8 * 16[/tex]
Evaluate the products
[tex](4^{-1})(2^3 \div 4^{-2}) =32[/tex]
Hence, the number that has the same value as [tex](4^{-1})(2^3 \div 4^{-2})[/tex] is 32
Read more about equivalent expressions at:
https://brainly.com/question/2972832
A store is having a sale on hats . The sale is buy one hat , get one 50% off . The original price of one is 24.98 . Alex bought several hats . And the total cost is $187.34
50% of 24.98 = $12.49
24.98 + 12.49 = 37.47
187.34 / 37.47 = 5
5 x 2 hats = 10 hats
He bought 10 hats.
Find the length of arc CD. Use 3.14 for pi. Round to the nearest tenth.
9.2
.......................
The length of arc is 9.1506 cm.
What is Length of Arc?The length of an arc refers to the distance along the curve of a circle between two points on that curve. It is a measure of the portion of the circumference of a circle or any other curved shape.
The Formula for Length of Arc is θ/360 x 2πr.
We have,
Radius = 7.9 cm
Angle = 66.4 degree
Now, length of Arc
= θ/360 x 2πr
= 66.4 / 360 x 2 x 3.14 x 7.9
= 0.18444 x 2 x3.14 x 7.9
= 9.1506 cm
Thus, the length of arc is 9.1506 cm.
Learn more about Length of arc here:
https://brainly.com/question/31762064
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What is the relationship between multiplying and factoring? You multiply numbers or expressions to produce a (select). You factor a product into the numbers or (select) that were multiplied to produce it.
Answer:
Step-by-step explanation:
1
In engineering, equilateral triangles can support the most weight and so are commonly found in the design of bridges and buildings. Equilateral triangles are triangles with three congruent sides and three congruent angles. What are the measures of the angles of an equilateral triangle?
please help meeeee
Answer:
60 degrees each
Step-by-step explanation:
180/3=60
what is 12.81 rounded to the tens place
Answer:
13
Step-by-step explanation:
all you have to do is round the 81 as close as 100 then you would add one to the 2 so then you would have 13
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PLSSSS SHOWWW THE WORKKK!!!!
Answer:
4x^10y^8
Step-by-step explanation: