The area and perimeter of the lawn will be 322 square feet and 74 feet. If the lawn will be mowed. Then the area will be used. If the lawn will be surrounded by a rope. Then the perimeter will be used.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The figure below shows a rectangular lawn.
Then the area of the rectangle will be
Area = 23 × 14
Area = 322 square feet
Then the perimeter of the rectangle will be
Perimeter = 2 (23 + 14)
Perimeter = 2 × 37
Perimeter = 74 feet
If the lawn will be mowed. Then the area will be used.
If the lawn will be surrounded by a rope. Then the perimeter will be used.
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Find the total surface area of the triangular prism
shown below.
5 cm.
5 cm.
11 cm.
6 cm.
Answer:
Answer:
124.84
Step-by-step explanation:
A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )
≈ 124.84313
Step-by-step explanation:
solve the quadratic formula x^2+4x-3=0
Answer:
using quadratic equation formula
-b±/b²‐4ac all over 2a
how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.
Answer:
3(x+4)=36
You would multiply 3 times x and 4
3x+12=36
Subtract 12 from both sides
3x=24
x=8
Step-by-step explanation:
[tex]\rule{289}{2}[/tex]
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
how to solve [tex]\textsc{3(x+4)=36}[/tex]
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
First of all, multiply the number before the parentheses by the expression inside the parentheses:-
[tex]\bigstar\sc{3\times x\times4}[/tex]
Which equals
[tex]\bigstar\textsc{3x+12}[/tex]
So the equation is:-
[tex]\square[/tex] [tex]\textsc{3x+12=36}[/tex] Subtract 12 on both sides:-
[tex]\textit{3x=24}[/tex] Next, divide by 3 on both sides:-
[tex]\textit{x=8}\Huge\checkmark[/tex]
Good luck with your studies.[tex]\smile\rule{300}{2}\smile[/tex]
Solve the following expression for t select all that apply
A:9
B:42
C: 45
D: t+3=45
Answer:
Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])
Step-by-step explanation:
Step 1: Multiply both sides by 15
[tex]\frac{t + 3}{15} = 3[/tex]
[tex]\frac{t + 3}{15} * 15 = 3 * 15[/tex]
[tex]t+3=45[/tex]
Step 2: Subtract 3 from both sides
[tex]t + 3 -3 = 45 -3[/tex]
[tex]t = 42[/tex]
Answer: Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])
Here my Answer :)))))))
Why does the shape of the moon appear to change over the course of about a month? (2 points)
Group of answer choices
The sun is always lighting up the same amount of the moon.
The sun is lighting up different amounts of the moon.
The moon changes shape over the course of a month.
The moon shrinks and grows bigger depending on the time of month.
A shopping center keeps track of the number of customers in each store at lunchtime. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.
4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18
Create a histogram of this data.
To create a histogram, hover over each number of customers range on the x-axis. Then click and drag up to plot the data.
Answer:
0-4 should go up to 1 5-9 should go up to 3 10-14 should go up to 4 15-19 should go up to 5 20-14 should go up to 2
Step-by-step explanation:
Hope this helps!
Given the following set of numbers find the mean, median and mode. 6, 6, 8, 7, 10, 14, 13, 6, 5, 7, 8, 10, 13, 6, 7
Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.
What is Central Tendency?A central tendency is a central or typical value for a probability distribution. Colloquially, measures of central tendency are often called averages. The term central tendency dates from the late 1920s. The most common measures of central tendency are the arithmetic mean, the median, and the mode.
Here, Given data
x f xf
5 1 5
6 4 24
7 3 21
8 2 16
10 2 20
13 2 26
14 1 14
Mean = ∑xf/∑f
= 126/15
= 8.4
Median = 7
Mode = 6
Thus, Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.
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How did the x value change if it went from 4 to 6?
WHICH ONE?? NEED HELP ASAP
Answer:
DD
Step-by-step explanation:
If you distribute the 2 you get 12.2x + 14 so D
Amna multiplies 38 by 4.
Should her answer be greater than or less than 4?
It should be greater not lesser
Given: sin = 4/5 and cos x = -5/13 ; evaluate the following expression.
cos( ∅ - x )
Answer:
[tex]\cos(\theta - x)=\dfrac{33}{65}[/tex]
Step-by-step explanation:
Given:
[tex]\sin\theta=\dfrac{4}{5}\implies \cos \theta=\dfrac{3}{5}[/tex]
[tex]\cos x=-\dfrac{5}{13}\implies \sin x=\dfrac{12}{13}[/tex]
Using the trig identity:
[tex]\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B[/tex]
[tex]\begin{aligned}\implies \cos(\theta - x) &=\cos \theta \cos x + \sin \theta \sin x\\\\&=\dfrac{3}{5} \cdot -\dfrac{5}{13} + \dfrac{4}{5} \cdot \dfrac{12}{13}\\\\&=-\dfrac{15}{65} + \dfrac{48}{65}\\\\&=\dfrac{33}{65}\end{aligned}[/tex]
sinø=4/5
so
cosø=3/5And
cosx=-5/13
so
sinx=12/13cos(ø-x)
sinøsinx+cosøcosx(4/5)(12/13)+(3/5)(-5/13)(48/65)-(15/65)48-15/6533/65The time it takes Adam to drive to Disney World varies inversely with his
average rate of speed.
If it takes Adam 10.8 hours at an average speed
of 50 miles per hour, how long would it take him at
an average speed of 60
miles per hour?
The distance will remain constant. Then the time taken by Adam with an average speed of 60 miles per hour is 9 hours.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
[tex]\rm Speed = \dfrac{Distance}{Time}\\\\\\[/tex]
The formula can be written as
Distance = Speed × Time
The time it takes Adam to drive to Disney World varies inversely with his average rate of speed.
If it takes Adam 10.8 hours at an average speed of 50 miles per hour.
If the average speed is 60 miles per hour, then the time taken will be
The distance will remain constant.
S₂ × T₂ = S₁ × T₁
60 × T₂ = 50 × 10.8
T₂ = 9 Hours
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WILL MARK BRAINLIEST
Answer:
cot(t) = 56/33
Step-by-step explanation:
cot(t) = 56/33, because cot = adj/opp simple as that..
The ratio of the side length of a square to the square's perimeter is always 1 to 4.
Side lenght of square (inches): 1 ,___, ___, 7
Perimeter of square (inches). : 4, 8, 16, ____
Answer:
Side length of square (inches): 1 ,2, 4, 7
Perimeter of square (inches). : 4, 8, 16, 28
Step-by-step explanation:
Ratio is 1:4 (S:P).
So:
#:8, #=2. This is because 2/8 and 1/4 both = 0.25.
#:16, #=4. 4/16=0.25
7:#, #=28. 4x7=28, 7/28=0.25
Hope that helps
In a classroom, 4/6of the students are wearing
sneakers. This is 3/6more than the fraction of the
students wearing boots. What fraction of the
students are wearing boots? Write an equation
to model the problem.
Natalie was asked to find the angle measures of a triangle that has the ratio 1:3:5 . Natalie made a mistake in her work. Find the mistake and correct it.
Determining Continuity
Use the graph to answer the question.
Using limits, for which value of x is the function
continuous? Check all that apply.
-2
-1
0
3
5
Answer:
A, C, E
Step-by-step explanation:
i got the question wrong so yall could get it right
PLEASE SHOW ALL YOUR WORK!!!
If popsicles cost $1.92 per dozen, what would be the cost of 60 popsicles?
Group of answer choices
$10.10
$9.60
$9.75
Answer:
$9.60
Step-by-step explanation:
$1.92 = per dozen
60 = how many dozens?
12 = one dozen.
60/12 = 5
5 dozens in 60 popiscles
If we know that we have 5 dozens and it costs $1.92 per dozen, we can just multipty those two numbers.
1.92*5=9.60
So, the cost of 60 popsiciales is $9.60!
If $1.35 is invested in an
account, find the amount of
money in the account after
10 years if it earns 1.15%
interest compounded semi-
annually.
Answer:
$1.51 is in the account after 10 years.
Step-by-step explanation:
Step 1: Identify the Type of Problem
We can see that this is a compound interest problem due to the phrase "earns 1.15% interested compounded" in the problem.
The formula for compound interest is as follows:
[tex]A=P(1+\frac{r}{n})^{n*t}[/tex] where:
A = final amount P = principal amount (in other words, the initial or first investment)r = interest rate (as a decimal)n = number of times interest is compounded per yeart = time (in years)Step 2: Identify what we Know
Now that we have the formula we'll be working with, let's see what we know. From the problem, we can see:
A = ? (this is what we are solving for)P = $1.35r = 1.15% → 0.0115n = 2 (semi-annually means twice a year)t = 10 yearsStep 3: "Plug and Chug"
Now, all we have to do is substitute the above values into our formula. Doing so, we get:
[tex]A=1.35*(1+\frac{0.0115}{2})^{2*10} \\= \bf \$1.51[/tex]
(Note: Since the answer is an amount of money, I have rounded to the hundreths place.)
Hope this helps!
To learn more about compound interest, check out the following question:
https://brainly.com/question/21270833Correlation analysis is used to determine
Answer:
Correlation analysis is used to quantify the degree to which two variables are related.
Step-by-step explanation:
In research, correlation analysis is a statistical approach for calculating and measuring the strength of a linear relationship between two variables. Simply defined, correlation analysis determines how much one variable changes as a result of the change in the other. A high correlation indicates a strong association between two variables, whereas a low correlation indicates a weak relationship.
Please help me do this mathematics assignment
Answer:
dy = -3
dx
equation of normal=
y=1/3x+1
Step-by-step explanation:
dy/dx=10x-3
=10(0)-3
= -3
equation of normal:
grad=1/3
y-1 =1/3
x-0
3y-3=x
y= 1/3x+1
[tex]\underline{\textbf{First part:}} \\\\\text{Given that,}\\\\~~~~~~y= 5x^2-3x+6\\\\\\\implies \dfrac{dy}{dx} = \dfrac{dy}{dx} (5x^2 -3x +6)\\ \\\\~~~~~~~~~~~=5\dfrac{d}{dx} x^2-3\dfrac{d}{dx} x + \dfrac{d}{dx} (6)\\\\\\~~~~~~~~~~~=5\cdot 2x-3+0\\\\\\~~~~~~~~~~~=10x-3\\\\\text{At (0,1)}\\\\\dfrac{dy}{dx} = 10(0) -3 \\\\~~~~~=0-3\\\\~~~~~=-3[/tex]
[tex]\underline{\textbf{Second part:}}\\\\[/tex]
[tex]\text{Equation of normal,}\\\\~~~~~~y-y_1 = -\dfrac{1}{\tfrac{dy}{dx}} (x-x_1)\\\\\\\implies y - 1 = -\dfrac 1{-3 }(x-0)\\\\\\\implies y-1 = \dfrac 13 x\\\\\\\implies y= \dfrac 13 x +1[/tex]
Alex has already saved $500 this summer. He wants to save at least $700. Create an inequality to show the amount of money, m. Alex still needs to save
Answer:
$200
Step-by-step explanation:
$700
-$500
$200
Therefore Alex needs to save $200 more to get the $700
PLS HELP
Find the value of x and y
Answer: 'X' = 24 degrees
Step-by-step explanation:
5 times 'X' = 120 degrees (because the formula is base times height divided by 2).
120 divided by 5 = 'X'
= 24
'X' = 24 degrees
difference of 2.4 − 1.8 = ________ by rounding each number to the nearest whole number.
Solve the system of linear equations
x+y=4
-3x-y+-8
Answer:
y=3x+8
Step-by-step explanation:
Formula is L(x)=f(a)+f(a)(x-a)
This is for linearization
Hello Please Find The Answer To This Question (easy) Part 2
Answer:
y=[tex]-\frac{1}{6}[/tex]x-2
Step-by-step explanation:
by using this website
its a graphing calculator
desmos. com/calculator
Find the value of log1/1000
just do it with a calculator the answer is -3
Answer:
-3
Step-by-step explanation:
log (1/1000)
log ( 10^-3)
= -3
PLEASEE HELP ME WITH !!!!!
Answer:
C = 101
Step-by-step explanation:
A triangle has 180 degrees, so just minus 28 and 51 by that and you get 101... it's pretty simple
PLEASE HELP ASAP A can has a radius of 1.3
inches and a height of 3.8 inches. What is the
volume of the can? (The volume of a cylinder
is V = Tr? where 7 ~ 3.14, r is the radius,
and / is the height.)
Answer:
V=20.17
Step-by-step explanation:
V=πr²h
=π1.3²×3.8
=20.17
5. Sarah made 17 out of 25 free throws during practice. What percentage of free throws did she NOT make? A. 68% B. 58% C. 32% D. 36%
Answer:
C. 32%
Step-by-step explanation:
The percent 17 is of 25.
17 of 25 can be written as:
17/25
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
17/25 * 100/100
= (17 * 100/25) * 1/100 = 68/100
Therefore, the answer is 68%
If Sara made 68% of her free shows, that means she didn't make 32% of her free throws (100 - 68 = 32).