Question:-
Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.
_______________________________________________
Solution:-
In an equilateral triangle all sides are equal.
Let s = side length = 9 cm
Then, area of equilateral triangle is given as:
A = (√3/4)s²
Putting the value of s here,
A = (√3/4) * (9 cm)²
=> A = (√3/4) * 81 cm²
=> A = √3 * 20.25 cm²
We know that, √3 = 1.732
=> A = 1.732 * 20.25 cm²
=> A = 35.073 cm²
Rounding to one decimal place,
=> A = 35.1 cm²
_______________________________________________
The answer is 35.1 cm².
Hope this helps; have a great day!
A student would like to estimate the mean length of words in a book report he just finished writing. He selects a
random sample of 20 words and determines the mean length to be 4 characters. Later, he discovers how to use a
built-in function of his word-processing program that reveals that the mean length of all words in his book report is
4.3 characters. Which of the following statements is true?
The population is all words in the book report and the sample is the random sample of 20 words.
The population is the random sample of 20 words and the sample is all words in the book report
The population is the mean length of all words in the book report and the sample is the mean length of the 20
randomly selected words.
The population is the mean length of the 20 randomly selected words and the sample is the mean length of all
words in the book report.
Answer:
the answer is a. The population is all words in the book report and the sample is the random sample of 20 words.
Step-by-step explanation:
got it right on edge
Answer: a. The population is all words in the book report and the sample is the random sample of 20 words.
Step-by-step explanation:
In a right-angled triangle ,right angled at B,if AB=5cm andAC=13cm ,then BC=
Answer:
BC = 12cmStep-by-step explanation:
by phythagoras theorm
AB² + BC² = AC²
5² + BC² = 13²
25 + BC² = 169
BC² = 169 - 25
BC² = 144
BC = √144
BC = 12cm
55 x 32 / 32 PLEASE HELPP
Answer:
55
Step-by-step explanation:
Answer : 55
Step by step explanation use PEMDAS
55/1 = 55
If a factor of a polynomial is x-5, what is the zero?
Answer:
x = 5
Step-by-step explanation:
Because the factor of the polynomial is x - 5, we can infer that the zero would be the solution of this equation: x - 5 = 0
Therefore, the zero is x = 5.
i need help learning how to find the nth term in sequences like 8,6,4,2?
i haven’t a clue how to solve things like this and i have a test tomorrow
Answer:
-8
Step-by-step explanation:
Its actually simple once you get the basics
Find out the difference between the first two digits given e.g 8,6: the difference is 2 so you check if it's the same difference e.g 6,4: the difference is also 2 so you keep subtracting or adding 2 as the case may be.
c ÷ 3/4 = 4. whats c?
Answer:
3
Step-by-step explanation:
when a division crosse's an equal sin it becomes a multiplication
A store pays $433.78 for a robot. The store marks up the price by 50%. What is the new price?
Meadow purchased a pair of jeans for $49.99 and a shirt for $19.99. How much money did Meadow spend?
Answer:
69.89-exact
70-rounding up
Answer:
She spent $69.98
Step-by-step explanation:
49.99 + 19.99 = 69.98 because people place .99 at the end of the cost in order to try to confuse customers that they are getting a better price then they really are, this is true because since many people read left to right, they will see the smaller number first, and they see the bigger number last, makin them believe its a better price. when at the end of a number lies a .99 it only counts as .99 not 1.00, thus this information is what helped me find my answer.
√5 is between _________ and __________.
-√30 is between _________ and _________.
-√15 is between __________ and _________.
√18 is between __________ and __________.
√72 is between __________ and __________.
-√125 is between _________ and __________.
Answer:
2 and 3, -5 and -6, -3 and -4
Step-by-step explanation:
list all of your perfect squares
[tex]\sqrt{1}, \sqrt{4} ,\sqrt{9} , \sqrt{16} , ...\\[/tex]
So [tex]\sqrt{5}[/tex] is between [tex]\sqrt{4} and \sqrt{9}[/tex] so it is between 2 and 3
If that is a negative [tex]\sqrt{30}[/tex] then it is between square root of 25 and 36, which would be -5 and -6
-[tex]\sqrt{15}[/tex] is between [tex]\sqrt{9} and \sqrt{16}[/tex] so -3 and -4
I need help please please I appreciate it! ):
Answer:
!. Scale factor = 5
2. Scale factor = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
scale = [tex]\frac{length in drawing}{actual length}[/tex]
1. To increase the numbers, let the scale factor be [tex]\frac{5}{1}[/tex] = 5. So that;
0.05 x 5 = 0.25
[tex]\frac{1}{2}[/tex] x 5 = 0.5 x 5 = 2.50
7 x 5 = 35.00
13 x 5 = 65.00
25 x 5 = 125.00
102 x 5 = 510.00
2. To decrease the numbers, let the scale factor be [tex]\frac{1}{5}[/tex]. So that;
0.05 x [tex]\frac{1}{5}[/tex] = 0.01
[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{5}[/tex] = 0.5 x [tex]\frac{1}{5}[/tex] = 0.10
7 x [tex]\frac{1}{5}[/tex] = 1.40
13 x [tex]\frac{1}{5}[/tex] = 2.60
25 x [tex]\frac{1}{5}[/tex] = 5.00
102 x [tex]\frac{1}{5}[/tex] = 20.40
help plssss <333 will mark brainliest if correct
Answer:
-3
Step-by-step explanation:
it might not be correct, the site I use for math glitches sometimes
Answer:
x=1
Step-by-step explanation:
its right :)
The park service that administers a state park estimates that there are 495 deer in the park. They decide to remove deer according to the differential equation dP/dt = −0.1P.
a. Show that the solution to the differential equation dP/dt = −0.1P is P = 495e^−0.1t , where t is measured in years and P is the population of deer. Use it to find the deer population in 5 years to the nearest deer.
b. After this 5-year period, no human intervention is taken and the deer population grows again. From that time, the deer population increases directly proportional to 650−P, where the constant of proportionality is k. Find an equation for the deer population P(t) in terms of t and k for this 5-year period.
c. Using the growth model from part b), 1 year later the deer population is 350. Find k.
d. Using the growth model from part b) and the value of k from part c), find lim t→∞ P(t)
The deer population in 5 years is approximately 294 deer.
What are exponential growth and decay?A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.
a. To solve the differential equation dP/dt = −0.1P, we can separate the variables and integrate:
dP/P = −0.1 dt
Integrating both sides gives:
ln|P| = −0.1t + C
where C is the constant of integration. To solve for C, we can use the initial condition that P = 495 when t = 0:
ln|495| = −0.1(0) + C
C = ln|495|
Substituting this value of C back into the equation gives:
ln|P| = −0.1t + ln|495|
Simplifying using logarithm properties, we get:
ln|P/495| = −0.1t
Exponentiating both sides gives:
|P/495| = e^−0.1t
Taking the absolute value off and multiplying both sides by 495, we get:
P = 495e^−0.1t
To find the deer population in 5 years, we can substitute t = 5 into the equation:
[tex]P = 495e^{-0.1(5)} = 294[/tex] deer (rounded to the nearest deer).
Therefore, the deer population in 5 years is approximately 294 deer.
b. To find an equation for the deer population P(t) in terms of t and k for the period after 5 years, we can use the differential equation:
dP/dt = k(650−P)
Separating the variables and integrating, we get:
∫dP/(650−P) = ∫k dt
Using partial fraction decomposition and integrating, we get:
ln|650−P| = −kt + C
where C is the constant of integration. To solve for C, we can use the initial condition that P = 294 when t = 5:
ln|650−294| = −k(5) + C
C = ln|356| + 5k
Substituting this value of C back into the equation gives:
ln|650−P| = −kt + ln|356| + 5k
Simplifying using logarithm properties, we get:
ln|(650−P)/356| = −kt
Exponentiating both sides gives:
[tex]|(650-P)/356| = e^{-kt[/tex]
Taking the absolute value off and multiplying both sides by 356, we get:
[tex]650-P = 356e^{-kt[/tex]
Solving for P gives:
[tex]P = 650-356e^{-kt[/tex]
Therefore, the equation for the deer population P(t) in terms of t and k for the period after 5 years is P = 650−356e^−kt.
c. Using the growth model from part b), if the deer population is 350 one year later, we can substitute t = 1 and P = 350 into the equation and solve for k:
350 = 650−356e^−k
Solving for [tex]e^{-k[/tex] gives:
[tex]e^{-k = (650-350)/356 = 3/2[/tex]
Taking the natural logarithm of both sides gives:
−k = ln(3/2)
Solving for k gives:
k = −ln(3/2) ≈ 0.4055
Therefore, k ≈ 0.4055.
d. Using the growth model from part b) and the value of k from part c), the long-term behavior of the deer population as t → ∞ is determined by the limit:
lim P(t) as t → ∞
We can use the fact that [tex]e^{-kt[/tex]approaches 0 as t →
Learn more about exponential growth and decay here:
https://brainly.com/question/17161065
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Mr. Monrean had three sheets of stickers. He gave 20 stickers from each sheet to his students and has 12 total stickers left. Write and solve an equation to find the total number of stickers s there were originally on each sheet.
Answer:
the total number of stickers is 24
Step-by-step explanation:
The computation of the total number of stickers is shown below
Let us assume the total no of stickers be x
Now as per the question, the equation is
3(x - 20) = 12
3x - 60 = 12
3x = 12 + 60
3x = 72
x = 24
Hence, the total number of stickers is 24
HELP ASAP WILL MARK BRAINLIST
Find the surface area
Answer:
24
Step-by-step explanation:
First we need to find the area on one square which is 2*2 which is 4. So now we have 5 more cubes like this and we have to add all their areas to find the surface area so we make a multiplicaction sentence :
4*6=24
SALE
65% OFF
original price!
Kinsley wants to buy a beach umbrella. The original price is $60. What is the sale price?show work!
Answer:
$21
Step-by-step explanation
65/100 = .65
60 * .65 = $39
60 - 39 = $21
I have a test tmrw pls help
So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:
y-6=2.5(x-3)
y-6=2.5x-7.5
-2.5x+y=1.5
Helppppp Jason was 1.75m tall last year. He grown 11 cm taller this year. How tall is Jason now?
Answer:
1.86 m
Step-by-step explanation:
11 cm = 0.11 m
1.75 + 0.11 = 1.86
Giving more a lot of points!
What is 3 /1 ÷3
Answer:
3
Step-by-step explanation:
I NEED HELP
the witch has more sugar per fluid ounce
A- 12sugar and 8amount
B-10 sugar and 5 Amount
What are the value/s of x if: *
36x2 – 25 = 0 ?
Sam bought an $85.00 jacket for 40% off of the regular price. How much did ge pay for the jacket?
Answer:
i think he payed 34 since 40 percent of 85 is 34.
Step-by-step explanation:
To find the discount price, multiply the original price ($85) by the discount ( 100-40=60): 85 x 0.6= $51 is what he paid.
Please Help ill make brainliest 15 points
A:149
B:153
C:225
D:297
Answer: 225 square feet
Step-by-step explanation:
We find the area of the 4 triangle and the area of the rectangle and thereafter we add everything together.
Area of triangle 1 = 1/2 base × height
= 1/2 × 12 × 8
=96/2
=48
Area of triangle 2 = area of triangle 1= 48( because the opposite triangle are congruent so they have equal base and height)
Area of triangle 3 = 1/2×base×height
= 1/2 × 6 ×9.5
= 57/2
=28.5
Area of triangle 4=Area of triangle 3 = 57 (the opposite triangle are congruent and so they have the same base and height hence the same area)
Area of the rectangle = length×breadth
=12 × 6 =72
Total surface area = addition of all the areas of the triangles and the rectangle
Total surface area= 48+48+57+57+72 = 225
Therefore, the total surface area is 225 square feet
There are three small rounds of cheddar cheese in Grace’s refrigerator. She wants to bring a small wedge of cheese in her lunch every day for the next 12 days of school. If she wants to eat the same amount of cheese every day, how much cheese should she bring for lunch each day?
Solution:
Number Model:
Answer:
The one-fourth of one round of cheddar cheese
Step-by-step explanation:
Because if we cut every round in 4 equal pieces, 4x3=12, we will have 12 equal pieces of cheddar cheese.
In the equation y=2x+3,y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?
Answer:
C. Your team plays 3 preseason games.
Step-by-step explanation:
In the equation y = 2x + 3, y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?
A. The regular season lasts 2 weeks.
B. The preseason lasts 2 weeks.
C. Your team plays 3 preseason games.
D. Your team plays 3 regular season games each week.
Solution:
The equation for a linear function is given as:
y = mx + b;
where m is the rate of change and b is the y intercept (that is initial value of y at x = 0), y and x are variables.
Given that y = 2x + 3;
The slope (m) = 2 and the y intercept (b) = 3
This slope means 2 games are played every week during the regular season games. The y intercept means that at before the regular games have start, 3 games have been played. Therefore, the team plays 3 preseason games.
can somebody please solve for x and y, if you get the answers correct I'll give you extra points
Answer:
1) x = 18 2) x = 7
Step-by-step explanation:
Edit: Decided to solve the second too! :)
1)
12/16 = x/(x+6)
12x + 72 = 16x
72 = 4x
x = 18
2)
(-4 + 4x)/64 = 27/72
-288 + 288x = 1,728
288x = 2,016
x = 7
4kg of cheese costs £10.80 how much would 3kg cost
Answer:
£8.10
Step-by-step explanation:
Divide £10.80 by 4 to find the cost of 1 Kg, then multiply this by 3
£10.80 ÷ 4 = £2.70 ← cost of 1 Kg , then
cost of 3 Kg = 3 × £2.70 = £8.10
Answer:
it may helps......
Step-by-step explanation:
we can solve it by unitary method....So,
Cheese (in Kg). Cost (in Rs)
4kg 10.80
3kg X
Now, 4×x = 3×10.80
X=3×10.80/4 (by transposing)
X=2.7×3
X= 8.1 Answer
Mark it as brainlist
Which of the following is another way of expressing 4 out of 5
Answer:
4/5
Step-by-step explanation:
I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.
jill uses some of her honey to make lotion. if each bottle of lotion requires 1/4 gallon and she uses a total 3 gallons how many bottles of lotion does she make
Answer:
am gonna need more imformation
Step-by-step explanation:
Can someone solve for x and y
Answer
Calculator.net
i hope you use this it will help a lot
PLEASE HELP PLEASE ASAP
Answer:
60ft
Step-by-step explanation:
multiply all the #