The perimeter of ΔABE is 70 units.
The perimeter of ΔCDF is 35 units.
How to find the perimeter of a triangle?A triangle is a polygon with threes sides. The sum of angles in a triangle is 180 degrees.
Therefore, the perimeter of a triangle is the sum of the whole sides.
Triangle mid point theorem is used to find the perimeter of the triangles.
It states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”
Let's find the perimeter of triangle ABE.
Hence,
perimeter of triangle ABE = AB + BE + AE
BE = 24
AE = 13 + 13 = 26
AB = 10 + 10 = 20
perimeter of triangle ABE = 24 + 26 + 20 = 70 units
perimeter of triangle CDF = DF + CD + CF
perimeter of triangle CDF = 10 + 13 + 12
perimeter of triangle CDF = 35 units
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This dot plot is not symmetric, and the data set has three extreme values.
Which of these measures is the best measure of variability for the dot plot? A. Interquartile range (IQR) B. Mean C. Median O D. Mean absolute deviation (MAD)
Answer:interquartile range IQR
Step-by-step explanation:ApE x
Answer:
ANSWER IS IQR
Step-by-step explanation:
DID THE TEST
Kendrick is planting a circular flower garden with a low fence around the border. He has 38 feet of fence. What is the radius of the largest garden he can make?
Answer: [tex]6.04\ ft[/tex]
Step-by-step explanation:
Given
The fence has a length of 38 ft i.e. it is the circumference of the circular flower
The circumference of the circle is [tex]2\pi r[/tex]
Insert the values
[tex]\Rightarrow 2\pir=38\\\\\Rightarrow 2\times \dfrac{22}{7}\times r=38\\\\\Rightarrow r=\dfrac{38\times 7}{2\times 22}\\\\\Rightarrow r=\dfrac{266}{44}\\\\\Rightarrow r=6.04\ ft[/tex]
The largest radius of the garden is [tex]6.04\ ft[/tex]
Solve |x| + 7 < 4.
{x | x < -11 or x > -3}
Ø
{x | -3 < x < 3}
The solution of equation is ∅.
What is linear inequality?According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this statement can be replaced with any of the inequality symbols.
Given equation |x| + 7 < 4
subtract 7 from both sides
|x| + 7 - 7 < 4 - 7
|x| < -3
but |x| ≥ 0, for all real values,
so solution is ∅.
Hence the solution of equation is ∅.
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The diagram shows an isosceles triangle. All the measurements are in cm, work out the perimeter of the triangle.
a new health drink has 150% of the recommended daily allowance. there is a certain vitamin this vitamin is 40 mg. How many milligrams of the vitamin are in a drink?
The numbers of milligrams of the vitamin that are in a drink is 60 milligrams.
What is the vitamin about?The recommended daily allowance (RDA) for the vitamin is 40 mg. A new health drink has 150% of the RDA.
To find out how many milligrams of the vitamin are in a drink, you can use the following formula:
(RDA) x (percentage/100) = milligrams in a drink
So,
(40mg) x (150/100)
= 60mg
Therefore, there are 60 milligrams of the vitamin in a drink.
Note that the RDA of vitamins can vary depending on age, gender, and other factors, so always consult a doctor or nutritionist before starting to consume any new supplement.
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Find the percent of change. Round to the nearest tenth, if necessary.
During the winter, the grill was marked at $85. In June, the price was changed to $110. 50.
PLEASE THIS IS URGENT
During the winter, the grill was marked at $85. In June, the price was changed to $110. 50. So, 23.08% is the change in percentage.
What is percentage?When the denominator is 100, percentages are really just fractions. We place the percent sign (%) next to the number to indicate that the number is a percentage.
Comparing two amounts while re basing the second amount to 100 is the simplest way to use percentages. The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin term made its way into English. It was later abbreviated to %.
Given that,
the grill was marked at $85
the price was changed to $110. 50.
Now, percentage change:
= [{(110. 50 - 85)/110.50} × 100]
= (0.2308 × 100)
= 23.08%
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Kayla had 20 candie. Kayla have 1/5 of the candie to her iter. Of the amount left , he gave 3/8 of her friend. How many candie doe Kayla have left for herelf ?
The candies left for Kyla were 10 based on the amount given to her sister and friend from total 20 candies.
Firstly we will calculate the remaining candies from twenty after giving to her sister. Next calculation will be the final answer representing candies left for Kyla herself.
Remaining candies = total number of candies - 1/5×total candies
Keep the values in formula
Remaining candies = 20 - 1/5×20
Remaining candies = 20 - 4
Remaining candies = 16
Total candies for Kyla = remaining candies - 3/8×remaining candies
Candies for Kyla = 16 - 3/8×16
Candies for Kyla = 16 - 3×2
Candies for Kyla = 16 - 6
Candies for Kyla = 10
Thus, Kyla received 10 candies.
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write an equation in pint-slope form, slope-intercept, and standard form
Slope: -5 (-3,-7)
(-6,10), (-4,18)
(-4,9), (1,14)
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
to get the equation of any straight line, we simply need two points off of it, let's use (-6,10), (-4,18)
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{18}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{18}-\stackrel{y1}{10}}}{\underset{\textit{\large run}} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{8}{-4 +6} \implies \cfrac{ 8 }{ 2 } \implies 4[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-6)}) \implies {\large \begin{array}{llll} y -10 = 4 ( x +6) \end{array}} \\\\\\ y-10=4x+24\implies -4x+y=34\implies \stackrel{standard~form}{{\Large \begin{array}{llll} 4x-y=-34 \end{array}}}[/tex]
How do you solve this? 11t-t^2=30
Answer:
t = 5, 6
Step-by-step explanation:
Given the equation:
[tex]\displaystyle{11t-t^2=30}[/tex]
First, arrange the expression in the standard quadratic form ax² + bx + c = 0
[tex]\displaystyle{t^2-11t+30=0}[/tex]
Then factor the expression, find two numbers that add up which result in -11 and multiply which result in 30 - that two numbers are -6 and -5
[tex]\displaystyle{(t-6)(t-5)=0}[/tex]
Solve like a linear equation
[tex]\displaystyle{t=5,6}[/tex]
Therefore, the solutions to the equation are t = 5, 6
Answer:
The solution set is {5, 6}.
Step-by-step explanation:
11t-t^2=30
t^2 - 11t + 30 = 0
(t - 5)(t - 6) = 0
t = 5, 6.
Prove that:
(1 + Tan²A) Cos²A = 1
Step-by-step explanation:
=(1+ sin^2 A/cos^2 A).cos^2 A
=[(cos^2 a+sin^2 a)/cos^2 a].cos^2 A
=[1/cos^2 a] . cos^2 a
=1
65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in a) Swimming and cycling b) Cycling only c) Neither swimming nor visiting national parks nor cycling
Answer:
a)=57
b)=26
C)= 35
Step-by-step explanation:
there is 100 people recorded when they only wanted 65 so the 35 extra answers are not recorded.
A tugboat traveled -1.5 miles in 0.3 hours. What was its velocity?
Answer:
it is actually -5 because -1.5/0.3=-5
Step-by-step explanation:
3 divided by 3/4 IN FRACTION FORM! HELP ASAP
Find the length of the diagonal of the rectangle.
Round your answer to the nearest tenth. The height of the rectangle is 7 meters. The length is 9 meters
Answer:
≈ 11.4 m
Step-by-step explanation:
The diagonal splits the rectangle into 2 right triangles , with legs 7 and 9 and the diagonal the hypotenuse.
Using Pythagoras' identity with h as the diagonal, then
h² = 7² + 9² = 49 + 81 = 130 ( take the square root of both sides )
h = [tex]\sqrt{130}[/tex] ≈ 11.4 m ( to the nearest tenth )
Of the 50 members of a staff, 40 percent worked the day shift and the remaining 60 percent worked the night shift in a given week. Of the staff members, 80 percent prefer working the day shift and the remaining 20 percent prefer working the night shift. What is the minimum number of staff members who failed to receive his or her preference of shift that week
The minimal number of employees who did not get their preferred shift that week was 20.
Out of 50, 40% are on the day shift = 0.4*50 = 20 & 60% are on the night shift = 30.
But, 80% of 50 prefer day shift = 0.8*50 = 20 & 20% of 50 prefer night shift = 10.
We need to find the minimum no. of people who did not get their desired shift. Since slots for the night shift(30) are greater than the people who desired it (10). We can assume that among those 30-night shift slots, 10 were occupied by the ones who wanted the night shift. So, whoever wanted the night shift got the night shift.
But, for the day shifts the no. of slots (20) is less than the number of people who desired it (40). So, there are going to be 20 people who did not get what they desired.
Thus, 20 is the minimum number of staff members who failed to receive her preference of shift that week.
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You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?
You earn $
for washing 4 cars.
hi, I need mo ney for food anything helps its been such a struggle since co vid hit.
Answer:
get a job....
PLEASE HELP?
Rewrite the function in factored form (show your work)
Standard form for the function is:
p(x)=-5x^+120x-315
Answer:
-5(x-21)(x-3)
Step-by-step explanation:
-5[tex]x^{2}[/tex] + 120x - 315 = -5([tex]x^{2}[/tex] - 24x + 63)
= -5([tex]x^{2}[/tex] - 3x - 21x + 63)
= -5[x(x-3) - 21(x-3)]
= -5[(x-21)(x-3)]
Solve for x. Solve for x.
Answer:
23
Step-by-step explanation:
7(x+1) = 8(x-2)
7x+7 = 8x-16
x = 23
A company manufactures industrial laminates (thin nylon-based sheets) of thickness 0.016 in., with a tolerance of 0.004 in.
0.016 in.
(a) Find an inequality involving absolute values that describes the range of possible thickness for the laminate. (Use h for
the thickness.)
(b) Solve the inequality that you found in part (a). (Enter your answer using interval notation.)
An inequality involving absolute values that describes the range of possible thickness for the laminate.
|h - 0.016| <= 0.004The range of possible thickness for the laminate is given by the interval (0.012, 0.02).What is inequality?(a) The range of possible thickness for the laminate is given by the tolerance of 0.004 in., so we can write an inequality involving absolute values as:
|h - 0.016| <= 0.004
(b) To solve the inequality, we need to consider two cases:
Case 1: h - 0.016 <= 0.004
h <= 0.02
Case 2: h - 0.016 >= -0.004
h >= 0.012
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Write an algebraic expression that represents five less than the product of a number and six
Answer:
6n-5
Step-by-step explanation:
let 'n' equal 'a number'
the equation above means you are multiplying 6 and that number, then reducing it by 5
How to simplify an equation?
The process of simplify the equation is explained below.
The term equation is known as a mathematical statement that defines the equality between two expressions.
Here we have to define the process of simplifying the equation.
The first and foremost step is to remove parentheses and brackets by multiplying factors.
And then we have to use the exponent rule to remove grouping if the terms contain exponents.
Then we have to combine like terms by adding or subtracting coefficients.
Finally, we have to Combine the constants.
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What is the domain of the function f/x )= log?
The domain of the given function would be x > 0.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.
Hence, the domain of the given function would be x > 0.
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The domain of the given function would be x > 0.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.
Hence, the domain of the given function would be x > 0.
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Solve the proportion below. 7/x = 19/114 x=____
A. 8
B. 4
C. 28
D. 24
jonn has a total of 50 coins in her purse The are either nickles or quarters The value of the ccoins is $7.10 Which system of equations can be used to determine the number of nickles ,n and quarters ,q, that jonna has in her purse .
Answer:
n + q = 50
.05n + .25q = 7.10
Step-by-step explanation:
total of 50 coins .... are either nickles or quarters
n + q = 50
value of the coins is $7.10
The value of each coin times the quantity is the value
.05n + .25q = 7.10
Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. X = 5 sqrt( y) text(, ) x = 0 text(, ) y = 4 Find the volume V of this solid. V
Answer:
V = 200 π
Step-by-step explanation:
x = 5√y , x = 0 , y = 4
Determine the volume of the solid V
when x = 0 y = 0
we can calculate the volume of the solid by applying the washer method
V = π ₀⁴∫ [ 0 + ( 5√y )^2 ] dy
= π ₀⁴∫ [ 0 + ( 25(y) ) ] dy
V = π [ 0 + 25/2 ( y^2 ) ] ⁴₀
V = π [ 25/2 ( 16 ) ]
= 200 π
Write the ratio of the first measurement to the second measurement. Compare in inches.
Answer:
when the ratio of the first measurment is already there, get the pot, put it in place and chec the correct ratio, the slope should help the gaurdian. so in that case, the answer is 75inch
3. Which of the following numbers is divided by 5?
a) 1234 b) 3457 c) 4750 d) 3478
Answer:
c) 4750
Step-by-step explanation:
Take a calculator and divide it or long division. You get 950.
Answer:
c) 4750
Step-by-step explanation:
c) 4750 is the answer of your question .
hope it is helpful to you
What are the domain and range of the function fix) = x* - 2x2 - 4?
Answer: domain(-oo,oo). range= f(x) >-5
Step-by-step explanation:
Blue's Berry Farm charges Percy a total of $24.75 for entrance and 2.5 kilograms of strawberries. The entrance fee is $6, and the price for each kilogram of strawberries is constant.
Answer:
$7.50 if the question is how much in a kilogram of strawberries you did not specify.
Step-by-step explanation:
24.75-6=2.5*x
18.75=2.5*x
7.5=x
Answer:
7.5 for 1 kg of strawberries
Step-by-step explanation:
I'm not sure what to solve, but I assumed that you wanted to know the unit price.