Answers
height or altitude for a parallelogram means the perpendicular distance from one parallel side to the other. Check the picture below.
Related Questions
The area of a circle is 100π ft². What is the circumference, in feet? express your answer in terms of \piπ
Answers
Answer:
20π ft
Step-by-step explanation:
To find the circumference of the circle given its area, first find its radius.
[tex]\textcolor{steelblue}{\boxed{\text{Area of circle =}\pi {r}^{2} }}[/tex]
Substitute given area into the formula:
100π= πr²
Divide both sides by π:
100= r²
Square root both sides:
[tex]r = \sqrt{100} [/tex]
r= 10 ft
[tex]\textcolor{steelblue}{\boxed{\text{Circumference of circle = }2\pi {r}}}[/tex]
Since we have found the value of the radius, we can substitute r= 10 into the formula above to find the circumference.
Circumference of circle
= 2(π)(10)
= 20π ft
A store sells two cone-shaped funnels. What is the height of each funnel? Round your answer to the nearest tenth
(1 pt=28.875 in)
45 in
5 in
Volume 0.5 pint
Volume 1 pint
The height of the smaller funnel is about
inches.
The height of the larger funnel is about
inches.
Answers
Considering the volume of a cone, it is found that:
The height of the smaller funnel is about 2.72 inches.The height of the larger funnel is about 3.06 inches.What is the volume of a cone?
The volume of a cone of radius r and height h is given by:
[tex]V = \frac{\pi r^2h}{3}[/tex]
For cone 1, we have that V = 0.5 x 28.875 = 14.4375 in³ and r = 2.25 in(half the diameter), hence:
[tex]\frac{\pi (2.25)^2h}{3} = 14.4375[/tex]
[tex]h = \frac{14.4375 \times 3}{\pi \times (2.25)^2}[/tex]
[tex]h = 2.72[/tex]
For cone 2, we have that V = 28.875 in³ and r = 3 in, hence:
[tex]\frac{\pi (2.25)^2h}{3} = 28.875[/tex]
[tex]h = \frac{28.875 \times 3}{\pi \times (3)^2}[/tex]
[tex]h = 3.06[/tex]
More can be learned about the volume of a cone at https://brainly.com/question/14281550
50 points, PLEASE HELP
i have a test in 2 hours i really need to know how to do this problem
25g^2 - 15gh - 28h^2
Answers
Answer:
the answer is (5g+4h)(5g-7h)
Step-by-step explanation:
25g^2-15gh-28h^2
=(25g^2+20gh)+(-35gh-28h^2)
=5g(5g+4h)-7h(5g+4h)
=(5g+4h)(5g-7h)
WILL GIVE BRAINLIEST, THANKS AND 5 STARS! PLEASE HELP! LOTS OF POINTS
Sam kicks a ball off of a rooftop. After t seconds, its height, h (in feet), is given by the formula
h (t) = -16t2 + 64t + 80.
*NOTE: Complete this without using graphing features on your calculator, and show all work for credit. You may type out your work or upload it in the next question.
a. What is the maximum height reached by the ball?
b. When did the ball reach its maximum height?
c. When will the ball hit the ground? (Do algebraically)
d. What is the height of the ball after 1 second?
(THIS IS A 4 PART QUESTION, PLEASE DO ALL PARTS!!!) PLEASE GIVE INDEPTH EXPLANATION FOR ALL PARTS!
Answers
Answer:
(a) 144 ft
(b) 2 s
(c) 5 s
(d) 128 ft
Step-by-step explanation:
[tex]h(t) = -16t^2 + 64t + 80[/tex]
Part (a)
To find the turning point of the parabola:
1. differentiate the function:
[tex]\implies h'(t) = -32t + 64[/tex]
2. Set it to zero and solve for t:
[tex]\implies h'(t) =0[/tex]
[tex]\implies -32t + 64=0[/tex]
[tex]\implies 32t = 64[/tex]
[tex]\implies t=2[/tex]
3. Input found value of t back into the function and solve for h:
[tex]\implies h(2) = -16(2)^2 + 64(2) + 80=144[/tex]
Therefore, the maximum height reached by the ball is 144 ft
Part (b)
As found in part (a), the maximum height is reached when t = 2, so the ball reached its maximum height at 2 seconds.
Part (c)
The ball will hit the ground when h(t) = 0
1. Set the function to zero
[tex]\implies h(t)=0[/tex]
[tex]\implies -16t^2 + 64t + 80=0[/tex]
2. Solve for t:
Divide both sides by 16
[tex]\implies -t^2 + 4t + 5=0[/tex]
[tex]\implies t^2 - 4t - 5=0[/tex]
Factor:
[tex]\implies t^2 +t-5t - 5=0[/tex]
[tex]\implies t(t+1)-5(t+1)=0[/tex]
[tex]\implies (t+1)(t-5)=0[/tex]
Therefore:
[tex](t+1)=0 \implies t=-1[/tex]
[tex](t-5)=0 \implies t=5[/tex]
As time is positive, t = 5
So the ball will hit the ground at 5 seconds.
Part (d)
To find the height of the ball after 1 second, input t = 1 into the function and solve for h:
[tex]\implies h(1) = -16(1)^2 + 64(1) + 80=128[/tex]
Therefore, the height of the ball after 1 second is 128 ft
--------------------------------------------------------------------------------------
Parts (a) & (b) - alternative method
Rewrite the function in vertex form by completing the square.
Set the function to zero:
[tex]\implies-16t^2 + 64t + 80=0[/tex]
Subtract 144 from both sides:
[tex]\implies -16t^2+64t-64=-144[/tex]
Factor out -16:
[tex]\implies -16(t^2 - 4t +4)=-144[/tex]
Factor expression in brackets:
[tex]\implies -16(t-2)^2=-144[/tex]
Add 144 to both sides:
[tex]\implies -16(t-2)^2+144=0[/tex]
Therefore:
[tex]\implies h(t)=-16(t-2)^2+144[/tex]
The maximum height is the y-value of the vertex.
The vertex is (2, 144) so the maximum height is 144 ft.
The time the ball reached the max height is the x-value of vertex.
So the time then the ball reached the maximum height is 2 s
The prime factorization of 100 is 4x25. Show a factor tree!
Answers
Answer:
See details below:
Step-by-step explanation:
We can start with the biggest factors and work our way down to see how arrive at 4 * 25.
In this case, the first part of the tree would be 50 * 2.
2 is prime, but 50 is not and thus must be factored.
Two possible factors of 50 are 2 and 25.
The 25 is not a prime number and must be factored further.
Two possible factors of 25 are 5 and 5.
Thus, the prime factorization of 100 is 2*2*5*5.
Then to simplify, we can combine the similar factors: (2*2) * (5*5) = 4*25
I hope this makes sense
GUYS I NEED HELP ASAP IVE BEEN STUCK ON THIS MATH PROBLEM
The cylinder shown has a volume of 695 cubic inches.
What is the radius of the cylinder?
Answers
Step-by-step explanation:
[tex]volume = \pi {r}^{2}h[/tex]
[tex]695 = 3.14 \times {r}^{2} \times 11.5[/tex]
[tex] {r}^{2} = 19.2[/tex]
[tex]r = \sqrt{19.2} = 4.3[/tex]
A triangle has two sides of length 19 and 18. What is the largest possible whole-number length for the third side?
Answers
Answer:
36
Step-by-step explanation:
For the largest possible whole number length, this means it would have to be the longest side. Let's let this third side have a length of x.
By the triangle inequality theorem, 19+18>x, which means x<37.
So, the largest possible whole number length for the third side is 36.
Y=x-12, y=14 what is x I need someone to answer fast please
Answers
Answer:
x = 26
Step-by-step explanation:
If Y= x - 12 and Y = 14
Then we input the value of y which gets us the equation of: 14 = x - 12
Now we add 12 on both sides to isolate the variable.
We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x
Easily we can find that 26=x
Pls help i will give 5 starts and brainliest question is down below 9:22
Answers
Answer:
C) 390
Step-by-step explanation:
Area of Blue:
18 × 25 = 450 in
Area of White:
6 × 10 = 60 in
450 - 60 = 390
Therefore, 390 sq in is the correct answer.
please helpppp pleaseee
Answers
а. 5
b. 180(5-3)=540
,..,,..,.,.,
The numbers in this sequence increase by 40 each time 30, 70, 110, 150. The sequence is continued with the same rule. Which number in the sequence will be closest to 300?
Answers
The value in the sequence closest to 300 is 310
Arithmetic SequenceArithmetic sequence is a sequence where each term increases or decreases by addition or subtraction of a constant term
the first term a = 30
common difference, d = 40
which term is closest to 300 we solve like this
300 / 40 = 7.5 say 7
the 7th term, T7 is solved by
T7 = a + ( n - 1 ) d
T7 = 30 + ( 7 - 1 ) 40
T7 = 30 + 240
T7 = 270
checking for the 8th term to confirm the nearest
T8 = T7 + d = T7 + 40
T8 = 270 + 40
T8 = 310
therefore the 8th term is closest and the value is 310
Read more on Arithmetic sequence here:
https://brainly.com/question/7882626
https://brainly.com/question/6561461
Please help I need to complete this today
Answers
this is because vertical angles are always congruent and two angles that make a like add up to 180
What is the volume of this figure?
2520 in³
1638 in³
1323 in³
935 in³
A right rectangular prism with a right triangular prism. The rectangular prism has a length of 14 inches, a width of 9 inches, and a height of 8 inches. The triangular prism shares a face with the rectangular prism. The triangular prism base has a length of 14 inches and a height of 5 inches. The height of the triangular prism is 9 inches.
Answers
Answer:
the answer is 1323. i took the quiz on k12 and this was the answer
Step-by-step explanation:
hi
1323
bye (disco lovely_jinni #2028
-
Find the equation of the line that
is perpendicular to y = -2x - 9 and
contains the point (8, -4).
Answers
Answer:
[tex]y=\frac{1}{2} x-8[/tex]
Step-by-step explanation:
The final answer is in the slope-intercept form, which is y=mx +c, where m is the slope and c is the y-intercept.
The slope of a perpendicular line is the negative reciprocal of the slope of the given line (the line it is perpendicular to). Thus, let's find the slope of the given line first.
Given line: y= -2x -9
The above equation is already in the slope-intercept from and thus, the slope is the coefficient of x.
Slope of given line= -2
The coefficient is the number that comes before a variable and it includes the positive or negative sign, which explains why the slope of the given line is -2 instead of 2.
Slope of perpendicular line= [tex]\frac{1}{2}[/tex]
Substitute the value of the slope into the equation:
[tex]y=\frac{1}{2} x+c[/tex]
To find the value of c, substitute a pair of coordiantes the line passes through.
When x= 8, y= -4,
[tex]-4=\frac{1}{2}(8)+c[/tex]
-4= 4 +c
c= -4 -4
c= -8
Thus, the equation of the perpendicular line is [tex]\bf{y=\frac{1}{2} x-8}[/tex].
What is reciprocal?
The reciprocal of a number is 1 divided by that numberFor example, the reciprocal of 2 is [tex]\frac{1}{2}[/tex]In this question, we are interested in negative reciprocal. This means that if the slope of the given line is m, the slope of the perpendicular line is [tex]-\frac{1}{m}[/tex].can some one answer this question please show work
Answers
When you reflect across the Y axis, the Y value remains the same and the x value becomes opposite.
Answer: (5,-3)
Two students in Ms. Romean's class are working on
finding the mean for the following set of numbers: 2,
12, 16, 4, 18, 24, 32. Susan states that the answer is
15.4 when rounded to the nearest tenth. She added all
of the numbers and divided by 7. Sam disagrees and
thinks the answer is 54. She added all of the numbers
and divided by 2. Which student is correct? How do
you know? Explain your thinking!
Answers
Answer:
susan is correct
Step-by-step explanation:
2+12+4+18+24+32=108
108 divided by 7=54
my reasoning is that the formula is add all and divide by how many numbers you added
A large automobile manufacturing plant produces 1200 new cars every day. a qualitycontrol inspector checks a random sample of 90 cars from one day’s production and finds that 12 of them have minor paint flaws. calculate and interpret a 99% confidence interval for the proportion of all cars produced that day with minor paint flaws.
Answers
Using the z-distribution, it is found that the 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The other parameters are given by:
[tex]n = 90, \pi = \frac{12}{90} = 0.1333[/tex]
Then, the bounds of the interval are found as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 - 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.041[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 + 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.2256[/tex]
The 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.
More can be learned about the z-distribution at https://brainly.com/question/25890103
The lengths of the diagonals of a rhombus are 24cm and 18 cm respectively. What is the perimeter/
Answers
keeping in mind that in a rhombus all sides are equal, Check the picture below.
The perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.
What is a rhombus?A rhombus is a two-dimensional shape with four straight, equal sides and parallels opposite pairs.
This form is similar to a diamond and is what you'd expect to see on a deck of cards to symbolize the diamond suit. Rhombuses can be found in a variety of settings in everyday life.
We have:
The length of the diagonals of the rhombus is 24 cm and 18 cm
As we know in the rhombus the diagonals intersect at the right angle so it makes a right-angle triangle.
So half of the right-angle 24 cm will be perpendicular to the right-angle triangle and half of the 18 cm will be the base of the right-angle triangle.
a = 24/2 = 12 cm
b = 18/2 = 9 cm
From the Pythagoras theorem the length of the hypotenuse:
[tex]c = \sqrt{12^2+9^2}[/tex]
c = 15 cm
Now the perimeter will be:
The perimeter of the rhombus = 4(15) = 60 cm
Thus, the perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.
Learn more about the rhombus here:
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PLEASE HELP
Which is the graph of f(x) = 1/4 (4)x?
No links
Answers
Answer:
3rd
Step-by-step explanation:
Answer: graph 3
Step-by-step explanation:
Please Help! What is the measure of the reference angle that corresponds to an angle of measure 278°
Answers
Answer:
82 degrees
Step-by-step explanation:
Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive.
82 DEGREES
Help me someone please
Answers
Answer:
150
Step-by-step explanation:
since a circle is 360 degrees, add up all of the other degrees and then subtract from 360
Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the
equation Vh= 500(1.025), where Vh is the value of the account after t years. Andres begins a savings account three
years later with the same initial amount of money at the same interest rate. Which equations represent the value of
Andres's account after t years?
A.
B.
C.
D.
Answers
Andre's account after t years is [tex]V_h=538.45(1.025)^t[/tex] since is option C.
Amount at the year endThe Amount accumulated at the end of a interest year is the sum of the principla amount and the interest gained on the principal amount.
How to find amount at the end of interest year?As Andres start the savings account after 3 years so, the equation representing the value of Andre's account after t years is-[tex]v_h=500(1.025)^{t-3}[/tex].
Also, the amount accumulated in the mean 3 years will be-
[tex]A=500(1.025)^3[/tex]
=$538.45
Hence, another way of writing the equation representing the value of Andre's account after t years is-[tex]V_h=538.45(1.025)^t[/tex]
As a result, option C is the correct answer.
Learn more about interest here: https://brainly.com/question/25545513
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Melissa owns a catering company . For lunch and dinner parties , she serves appetizers before each meal. The number of appetizers Melissa serves is directly proportional to the number of guests at the party. For lunch parties, she serves 3 appetizers per guest. For dinner parties, she serves 5 appetizers per guest. When serving 22 guests, what is the difference of the number of appetizers she serves for dinner and the number of appetizers she serves for lunch?
Answers
Answer:
44
Step-by-step explanation:
Lunch = 3 appetizers per guest
If there are 22 guests: 22 × 3 = 66 appetizers served
Dinner = 5 appetizers per guest
If there are 22 guests: 22 × 5 = 110 appetizers served
Difference = total dinner appetizers - total lunch appetizers
= 110 - 66
= 44
A 70kg person jumps off a staircase. They are going 5 m/s just before they hit the ground. How high up where they.
Answers
Answer:
0.02 seconds
Step-by-step explanation: A 70kg man jumps 1.00 meters down onto a concrete walkway. His downward motion stops in 0.02 seconds.
Answer:
1.25m
Step-by-step explanation:
v=u+gt
5=0+10t
5=10t
t=0.5s
s=ut+1/2gt^2
=0+(0.5×10×(0.5)^2)
=1.25m
Mia gets 15 out of 18 questions correct on a test. What is the ratio of correct
answers to the total number on the test in simplest form?
Answers
Answer:
5/6
Step-by-step explanation:
it's a 15:18 ratio, just needs simplification
You have $1000 invested for 3 years and get 10% interest.
Answers
Answer:
$1331 compounded annually after three years
Step-by-step explanation:
Given the following question:
1000 dollars invested (princpal)....
You invest that 1000 dollars for three years (time)....
Assuming it's compounded annually we need to substitute the values into the formula to calculate compound interest.
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
[tex]P=1000[/tex]
[tex]\frac{r}{n} =\frac{10}{100} =10\div100=0.1[/tex]
[tex]nt=(1)(3)[/tex]
[tex]A=1000(1+0.1)^{(1)(3)}[/tex]
[tex]1\times3=3[/tex]
[tex]A=1000(1+0.1)^{3}[/tex]
[tex]1+0.1=1.1[/tex]
[tex]1.1^3=1.1\times1.1\times1.1=1.331[/tex]
[tex]A=1000\times1.331[/tex]
[tex]1000\times1.331=1331[/tex]
[tex]=1331[/tex]
Which means after a intital investment of 1000 dollars you will have "1331 dollars" after three years compounded annually.
Hope this helps.
A city has a population of 360,000 people. Suppose that each year the population grows by 3.75% What will the population be after 11 years?
Answers
Answer:
508,000 in 11 years
Step-by-step explanation:
3.75% of 360,000 is 13500
So every year the population grows 13500 people
13500 * 11 = 148,500
148,500+360,000=508,000
So in 11 years the population would be 508,000
Answer the question based on the graph
What is the Y-intercept?
What is the asymptote?
Answers
Help what's the correct question
Answers
Cyrus' tennis match lasted two and a half hours. Everett's tennis match lasted four and a half hours. How much longer did Everett’s match last?
Answers
Answer:
2 hours
Step-by-step explanation:
4.5 - 2.5 = 2
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