The base and height of a triangle are increased by 30% of their initial length. By what percentage does the area of the triangle increase?
Step-by-step explanation:
Area of a triangle is directly proportional to the base and height of the triangle.
Let B and H be the original base and height of the triangle respectively.
The new triangle has base 1.3B and height 1.3H
Area of original triangle : Area of new triangle
= 0.5BH : 0.5(1.3B)(1.3H)
= 0.5BH : 0.5(1.69BH)
= 1 : 1.69
Hence, the new triangle is 69% larger than the original triangle.
Write and solve an equation that represents the following math sentence.
Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5.
24 = 10.5 + 4.5m; m = 60.75
24 = 10.5 + 4.5m; m = 3
24 equals 10.5 plus m over 4.5; m = 3
24 equals 10.5 plus m over 4.5; m = 60.75
Answer:
24 = 10.5 + 4.5m; m = 60.75
Step-by-step explanation:
Answer:
24=10•5+4•5m؛m=60•75
24=10•5+4•5m؛m=
24 equal 10•5plus m over 4•5؛m=
24 equal 10•5 plus m over 4•5؛m=60•
Step-by-step explanation:
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
A triangular prism is attached to a rectangular prism as shown below.
If w = 8 inches, x = 5 inches, y = 20 inches, and z = 11.3 inches, what is the total surface area of the EXTERIOR FACES of the figure?
(Answer choices in picture!!) (I WILL GIVE BRAINLIEST)
I need help now
In triangle XYZ, m∠Y = 45.43° and m∠Z = 38.7°. Determine the measure of the exterior angle to ∠X.
44.57°
51.3°
75.75°
84.13°
Answer:
84.13
Step-by-step explanation:
Can someone help me?
Answer:
I think it might be 6
Step-by-step explanation:
You should probably wait for another answer, I did this in Math last year so I think it's 6 but I can't really remember sorry ):
Answer:
Suppplementary angle is 5 or A
Skill in adding and subtracting decimals is useful for calculating ______ .
the total children in a classroom.
the total children in a classroom.
the number of hours in two days.
the number of hours in two days.
the amount saved in buying a pair of $32.95 blue jeans on sale for $26.50.
the amount saved in buying a pair of $32.95 blue jeans on sale for $26.50.
Answer:
the amount saved in buying a pair of $32.95 blue jeans on sale for $26.50
Step-by-step explanation:
all are pretty good answers but that one is most reasonable
have a nice day :)
Donovan has 5 times as many red fish as he does blue fish and half as many gray fish as blue fish. How many total fish (F) does Donovan have?
A. F = 6x + 1/2x
B. F = 1/2x + 5 + x
C. F = 6 + 1/2x
D. F = 5x + 1/2x
Answer:
The answer is A.
Step-by-step explanation:
X is the blue fish, The red fish is 5 times more than the blue fish so it's 5x. The gray Fish is half the amount of the gray fish so it would be 1/2x.
So therefore the equation should be F=1/2x+ 5x + x. and then you combine liked terms which is 5x+x which is 6x. and the Equation overall should be F= 6x + 12/x (sorry if I'm incorrect)
plz help!!! if both are answered= brainly
Answer:
The Slope of the table = 2
help please for 15 pointsssss
Answer: 12
Step-by-step explanation:
x = 0 when it would start so
y= 3(0) + 12
y = 12
Basically, the initial value.
An ordered pair of the function d(t) = 35t is _____.
(35, 35)
(35, 1)
(1, 35)
(1, 1)
Which ordered pair is not a solution of f(x) = 2x + 9?
(7, 23)
(3, 14)
(2, 13)
(0, 9)
please help me on this question!! :(
Answer:
Step-by-step explanation:
The answer is D. 14/9
Simplify the following expression 4(x−8)−7x + 3 (in a test)
Answer:
-3x - 29
Step-by-step explanation:
Just a tip. if you have questions like this one use math.way it will help you tremendously !
Hope this helps you :)
Have an amazing day <3
Ms. Ramos uses three and three-fourths tubes of blue paint and two and five-sixths tubes of red paint. How many tubes of paint does she use in all?
five and eight twenty-fourths tubes
five and seven-twelfths tubes
five and eight-tenths tubes
six and seven-twelfths tubes
Answer:
D. six and seven-twelfths tubes. you can find online fraction calculators
Step-by-step explanation:
Rent-A-Swag has a 9% late fee each day your rentals are overdue. What is the fee for a $39 rental that is 13 days late?
Thank you!
Answer:
3.51 for 1 day 45.63 for 13 days u could also look up what's 9% of 39 then just times it by 13
A rectangular park 40 yards wide was redesigned, and a path 1
yard wide was built around it. How long was the park before if,
after the path was built, its area became 4200 square yards?
The answer is 98 yards.
Step-by-step explanation:
The new width is 40 yds + 2 yds = 42 yds.
Area = L × W
4200 square yds = L × 42 yds
L = 4200 yds ÷ 42 yds = 100 yds
The new length is 100 yds.
The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.
Hope that helped!
The answer is 98 yards.
Step-by-step explanation:
The new width is 40 yds + 2 yds = 42 yds.
Area = L × W
4200 square yds = L × 42 yds
L = 4200 yds ÷ 42 yds = 100 yds
The new length is 100 yds.
The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.
Which of the following is a statistical question that can result in numerical data?
How many letters are in your first name?
How many hours do you practice your musical instrument each week?
How many books do the students in your class read each month?
Who is your favorite cartoon character?
which sample is most likely to result in an unbiased survey
a. all students attending a homeroom class in the morning
b. all students going to football practice after school c. all male students
d. all students participating in the band
Answer:
a
Step-by-step explanation:
students are grouped together for briefing. thus resulting to unbiased survey.
The sample that is most likely to result in an unbiased survey is a. all students attending a homeroom class in the morning
How to determine the unbiased survey?To do this, we simply analyze the options one after the other
Option A: This is unbiased because all students are expected to be in the classroomOption B: This is biased because not all students are expected to be in the football practiceOption C: This is biased because the female students are excludedOption D: This is biased because not all students are expected to be participate in the bandHence, the sample that is most likely to result in an unbiased survey is a
Read more about survey at:
https://brainly.com/question/251701
#SPJ2
1.- The Tenth-grade classroom has a rectangular shape whose length measures 4m more than the width.
a) Calculate the width and length of the rectangular classroom, knowing that its perimeter is 28m.
b) Calculate the area and the number of desks that must fit in the classroom to comply with the biosecurity standards of 1.5m of social distancing.
Step-by-step explanation:
I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Can you do this ASAP PLEASE THANK YOU
What is (6/3×21/9)÷[8.9+2/4]×14×84
Answer:
The answer I got was 583.82
PLEASE HELP ME TYSM IF YOU DO!!!
Answer:
JM is correct because its simply and yea
Answer:
JM is the answer
How to do number a and d?
help please
Answer:
a. Let's call the first number x which would make the other 2 numbers x + 2 and x + 4. Since they have a sum of 54 we can write:
x + x + 2 + x + 4 = 54
3x + 6 = 54
3x = 48
x = 16 so the numbers are 16, 18, 20.
d. We can write:
30 + x = 4(3 + x)
30 + x = 12 + 4x
18 = 3x
x = 6 years
The quotient of 5 ÷ E is ______. the quotient of 4 ÷ C.
help me please i need so much help
Answer:
x=11
y=4
Step-by-step explanation:
To solve for x, the polygon is symmetrical (because it is regular). So x-3 = 8
x= 11
Similar means the sides are proportional (will be in a ratio)
Big polygon ~ small polygon
16 ~4
8~y/2
We can use these to solve for y.
\(\frac{16}{4} =\frac{8}{y-2}\)
Cross multiply: 16y-32 = 32
y=4
Match each sentence with an equation-
40) One half of g to the third power is the same as the product of 24 and g plus 4
42) The square of g is the same as two times the difference of g and 10
44) Tim's bank contains quarters, dimes, and nickels. He has three more dimes than quarters and 6 fewer nickels than quarters. If he has 63 coins, write and solve an equation to find how many quarters Tim has.
46) In this equation, you will explore how to translate relations with powers
x- 2,3,4,5,6
y- 5,10,17,26,37
a- Write a sentence to describe the relationship between x and y in the table
b- Write an equation that represents the data in the table
c- Graph each ordered pair and draw the function. Describe the graph as discrete or continuous
Answer:
40) 1/2g^3=24g+4
42) g^2=g-10
46) 54 quarters
46) a- The common factor is 5.
b- ???
c- on your own
Step-by-step explanation:
ez
1. 3/h = 18/6
2. 6/3 = h/18
3. 3/15 = h/6
4. 6/3 = 18/h
Answer:
1
Step-by-step explanation:
Help!!
Use the diagram of the equilateral triangle shown below to answer the following questions. Show the work that leads to your answers. a. What is the perimeter of the triangle? b. What is the height, ℎ mm, of the equilateral triangle? Write an exact answer using a square root and an approximate answer rounded to the tenths place.
Answer:
Perimeter is 12mm, height is \(2\sqrt3\)mm in simplest radical form, and 3.5mm in approximate decimal form.
Step-by-step explanation:
The perimeter is easy; since it's an equilateral triangle, all sides are the same length of 4, so you can just do 3*4 (3 sides, 4mm each) to get a perimeter of 12.
For the height, you can see that it forms two right triangles, each with a given base of 2 and a hypotenuse of 4. We can apply the pythagorean theorem (\(a^2+b^2=c^2\)) here to find the missing leg length of the smaller right triangles, which is equal to the big triangle's height.
I've enclosed an attachment for that.
Hope this helps!
Jin’s mother estimates there is a half gallon of fruit punch remaining in the container. There is actually 72 ounces of fruit punch in the container. What is the percent error of Jin’s mother’s estimate, rounded to the nearest tenth?
needed help
Step-by-step explanation:
6.28% because of the sealing