Which polygons are congruent?
Select each correct answer.
5
20
20
25
25
Activate Windo
Answer:
All except the 3rd one
the one with 20 and 25
When Brooklyn runs the 400 meter dash, her finishing times are normally distributed with a mean of 76 seconds and a standard deviation of 3 seconds. Using the empirical rule, what percentage of races will her finishing time be between 70 and 82 seconds?
Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:
76 - 2 x 3 = 70.
76 + 2 x 3 = 82.
Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
Maria bought a laptop computer for $850. The value of the computer depreciates about 25% each year. After 3 years, she decides to sell it to her younger brother. What is a fair price for the computer?
Using the depreciation formula:
start value x percent of value^time
850 x 0.75^3 = $358.59
answer: $358.59
Answer: $358.59
Step-by-step explanation:
[tex]$$After one year the laptop computer's price is:$$\begin{aligned}&=\$ 850-\$ 850 \times 25 \% \\&=\$ 850-\$ 212.5 \\&=\$ 637.5\end{aligned}$$[/tex]
[tex]$$ Again two year the computer's price is:$$\begin{aligned}&=637.5-25 \% \text { of } 637.5 \\&=637.5-159.375 \\&=\$ 478.125\end{aligned}$$[/tex]
[tex]\bold{\text { So a fair price for the computer is } \$ 358.59}[/tex]
[tex]\begin{aligned}\\\bold{Or}\text { Simply Calculate as } &=(\text { Purchase price }) \times(1-25 \%)^\text{time} \\&=850 \times(1-0.25)^{3} \\&=850 \times(0.75)^{3} \\\bold{&=\$358.59}\end{aligned}[/tex]
Frazer scores 70% in a spelling test. If there are 40 spellings, how many did he get right?
The number of the correct spellings is 28.
What are percentages?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Frazer scores 70% on a spelling test. If there are 40 spellings,The number of the spellings are:-
N = 40 x 70% = 28
N = 40 x (70/100) = 28
Therefore the number of the correct spellings is 28.
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Which of the following equations is CORRECT?
A. (a + b) (a – b) = a 2 + b 2
C. (a + b) (a – b) = a 2 + ab + ab + b 2
B. (a + b) (a – b) = a 2 − b 2
D. (a + b) (a – b) = a 2 − ab − ab − b 2
Answer:
Option C, the second one. (B and C are switched)
Step-by-step explanation:
a * a = a2
a * b = +ab
⬇️
2ab
⬆️
b * a = +ba or +ab
Two b's make b2 and don't worry, even with the negative sign it is a b2.
What integer best represents
ascending 800 feet?
Answer:
positive interger.....
Simplify the expression.
3.8m + 7 - 2.8m
(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole numbers or decimals for any numbers in the expression.)
Answer:
m + 7
Step-by-step explanation:
→ Collect like terms
3.8m - 2.8m + 7
→ Simplify
m + 7
The sum of two numbers is 30 and their difference is 10. What are the two numbers?
Answer:
20 and 10
These are the only two possible numbers who match those descriptions.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
3:10
Step-by-step explanation:
3:10 is the ratio form of 3/10
Find x . Round your answer to the nearest tenth of a degree.
The value of a, b and <A are 17.4, 119.3 and 42 degrees respectively
Trigonometry identityFrom the given right angles triangle, we have the following parameters;
<A + 48 + 90 = 180 (sum of angles in a triangle)
<A =180 - 138
<A = 42 degrees
Using the SOH CAH TOA identity
sin48 = b/26
b = 26sin48
b = 19.3
For the value of a
sin42 = a/26
a = 26sin42
a = 19.3
a =17.4
Hence the value of a, b and <A are 17.4, 119.3 and 42 degrees respectively
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What is the difference between the two fractions explain in full detail. Type out answer
Answer:
Step-by-step explanation:
There is no difference between the two fractions. I can show you this in the following way, assuming you understand the distributive property. We can write the fraction -7/2 in the following way:
[tex]-\frac{7}{2} =-1(7*2^-^1)[/tex]
Hopefully you agree with me that we can bring the 2 into the numerator if we switch the signs of the exponent. And hopefully you agree that a negative sign is equivalent to multiplying by -1. Therefore, this negative 1 can distribute to the 7 or the 2. It really does not matter. To sum this up:
[tex]-\frac{7}{2} =\frac{-7}{2} =\frac{7}{-2}[/tex]
PLEASE ANSWER QUICKLY!
The figure shows a right prism.
1. What is the volume of the figure?
2. If the dimensions of the prism are decreased by a factor of 1/4, how will the volume of the new prism compare to the volume of the original prism? (ANSWER IN A SIMPLIFIED FRACTION).
The volume of the prism is decreased by a factor of: ______
if a town with a population of 10,000 doubles in size every 17years wat will population be 68 years from now
Answer:
20,000×17 gives 340,000
340,000×68 which gives 23,120,000
Please help me????22pts
Answer:
[tex]\mathrm{1 \dfrac{ 1 }{ 6 }\:cups}[/tex]
Step-by-step explanation:
Given from the graph:
There is [tex]\frac{1}{2}[/tex] cups of paint for one jar
There are 3 cups of paint for three jars
There is 1 [tex]\frac{1}{2}[/tex] cups of paint for one jar
There is 2 cups of paint for one jar
total amount of jars = 6
But since we need to find the amount of cups in each jar, we do:
[tex]\dfrac{ 1 }{ 2 } +3+1 \dfrac{ 1 }{ 2 } +2[/tex]
Add [tex]\frac{1}{2}[/tex] and 1 [tex]\frac{1}{2}[/tex]
[tex]2+3+2[/tex]
Add 2 and 3
[tex]5+2[/tex]
Add 5 and 2
[tex]7[/tex]
total cups of paint = 7
Then we need to find how much paint could be splitted equally among the 6 jars, so we do the following:
total amount of jars = 6
total cups of paint = 7
We divide the total amount of jars by the total cups of paint
7 ÷ 6
Divide 7 by 6
[tex]\dfrac{ 7 }{ 6 }[/tex]
[tex]= 1 \dfrac{ 1 }{ 6 }[/tex]
[tex]\mathrm{Answer: 1 \dfrac{ 1 }{ 6 }\:cups}[/tex]
A pound of apples costs $1.30. Sawyer bought 2 1/2 pounds of apples. How much did Sawyer pay?
A.$3.50
B.$3.25
C.$4.00
D.$2.25
2 1/2 pounds = 2.5 pounds
A pound of apples cost $1.30 -> 2.5 pounds of apples cost 1.3 x 2.5 = 3.25
-> Answer : B
Who burned down Constantinople?
O barbarians
O crusaders
o Egyptians
o Turks
Answer:
The Turks burned down Constantinople
2. A baby weighs 8 pounds, 1 ounce. How much does she weigh in ounces?
Answer:
97 oz
Step-by-step explanation:
12 oz per pound
8 pounds + 1 oz
(12 · 8)+ 1
97 oz
Hope this helps!
The length of a rectangle is 7 cm greater than its width. The area of the rectangle is 260 cm². This situation can be expressed by the equation w^2+7w−260=0.
What is the width of the rectangle? Remember that a measurement can only be positive.
Enter your answer in the box.
Answer:
I think the answer is 15 but I am not sure hoping this helps good luck
Answer:
its 13
Step-by-step explanation:
WILL GIVE BRAINLIEST !! I NEED HELP ASAP
In the figure, ABCD is a rhombus.BG and DCG are straight lines
Find CAD
Find ACG
Answer:
Below in bold.
Step-by-step explanation:
1) as ABCD is a rhombuc AC bisects < BAD and < BCD .
Therefore < CAD = 1/2 * 104 = 52 degrees.
2) < ACG = < ADC + < CAD ( External angle of triangle theorem)
Therfore < ACG = 76 + 52 = 128 degrees.
Katie saves $5 every week. so far, she has saved a total of $63.
a) write an expression for Katie's saving using W for the number of weeks from today.
b) use your expression to find out how much money Katie had 5 weeks ago.
no links!!! pls, help!!!
A street trader spent 550 on x article, each costing (2x -28) find x
Answer:
the x is 538
Step-by-step explanation:
sorry if im not right
A square pyramid is shown. What is the surface area of the pyramid? Enter your answer in the box. 100 points
Answer:
33 cm²
Step-by-step explanation:
Formula
Surface Area = 4 x Area (triangle) + Area (square)S.A. = 4 x 1/2 x bh + b²Solving
Given that h = 4 cm and b = 3 cmS.A. = 2 x 4 x 3 + 3²S.A. = 24 + 9 = 33 cm²Answer:
33 cm²
Step-by-step explanation:
Since the pyramid has a square base, the area of each of the triangular sides will be the same.
Therefore, to calculate the total surface area, find the area of one triangle, multiply it by 4, then add it to the area of the square base.
Formulae
Area of a square = x³ (where x is the side length)
Area of a triangle = 1/2 × base × height
Calculation
area of the square base = 3² = 3 × 3 = 9 cm²
area of one triangle = 1/2 × 3 × 4 = 6 cm²
Solution
Total area = area of the square base + 4 × area of one triangle
= 9 + (4 × 6)
= 9 + 24
= 33 cm²
Ill give brainliest please help .
Answer:
443.14
Step-by-step explanation:
A=6ah+33a2
=6·4·15+3·3·42
≈443.13844
Answer:
I believe the answer is 88 if correct please consider brainliest
<3
Step-by-step explanation:
The blades of a windmill turn on an axis that is 35 feet above the ground. the blades are 10 feet long and complete two rotations every minute. which of the following equations can be used to model h, the height in feet of the end of one blade, as a function of time, t, in seconds? assume that the blade is pointing to the right, parallel to the ground at t = 0 seconds, and that the windmill turns counterclockwise at a constant rate. h = negative 10 sine (startfraction pi over 15 endfraction t) 35 h = negative 10 sine (pi t) 35 h = 10 sine (startfraction pi over 15 endfraction t) 35 h = 10 sine (pi t) 35
Answer:
it is c
Step-by-step explanation:
:)
The sine equation is [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex] an option (c) is correct.
It is given that the blades of a windmill turn on an axis that is 35 feet above the ground. the blades are 10 feet long and complete two rotations every minute.
It is required to model the sine equation.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know the standard equation for the sine equation:
[tex]\rm y = Asin(wx)+h[/tex]
Where [tex]\rm T=\frac{2\pi}{w}[/tex]
[tex]\rm w = \frac{2\pi}{30}[/tex] ( In one minute, they complete two rotations.)
[tex]\rm w = \frac{\pi}{15}[/tex] ( T = 30)
At time t=0, the blade is horizontal. Hence, at t = 0, h = 35
And A = 10
Put all the values in the sine equation:
[tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex]
Thus, the sine equation is [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex] an option (c) is correct.
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The measures of two supplementary angles have a ratio of 4:5. What is the measure of the larger angle?
The measure of the larger angle is ____
Answer:
100 DEGREES
Step-by-step explanation:
Supplementary means they add to 180 degrees
4x + 5x = 180
x = 20
smaller angle 4 (20) = 80
learger angle 5 (200 = 100
Mark chose two cards randomly from a deck. What is the probabity of getting an Ace or King?
Answer:
50/50
Step-by-step explanation:
Answer:
depends on how many there are in a deck. But going from the usual, it would be 2/52
Step-by-step explanation:
(52 is how many cards there are, if theres a different amount then change it to that)
Luca owns a pool cleaning business. Luca wants to have a monthly profit of $5,867.00 with 50 costumers, fixed monthly expenses of $2,510.00, and variable expenses of $18.40 per pool. determine how much Luca needs to charge per customer to reach his profit goal.
$164.82
$170.34
$185.94
$200.31
Answer:
$185.94
Step-by-step explanation:
5,867+2,510= 8,377
8,377÷50c= 167.54
167.54+18.40= $185.94
Help, please! It's all in the screenshot
A:
5=2+3
-> right triangle
B:
5=4+3
-> not a right triangle
C.
36= 25+16
36= 41
-> not a right triangle
D.
49= 25+25
49=50
-> not a right triangle
E.
100= 36+ 64
100= 100
-> right triangle
What is the median of the data set represented by the dot plot?
Enter the answer in the box.
A number line with line with two dots above the number 10, one dot above the number 12, one dot above the number 13, one dot above the number 14, one dot above the number 15, one dot above the number 18, and two dots above the number 19.
Answer:
Median is 14Step-by-step explanation:
The median is the middle number (or average of middle two numbers if data set has even number of elements) of the data set.
According to the graph, the data set has 9 elements.
The 5th number in the set is the median, which is 14
14
Step-by-step explanation:Step-1: Prepare a table that represents the number of dots above a specific number:
[tex]\text{Dots above 10}: || \\ \text{Dots above 12}: | \\ \text{Dots above 13}: | \\ \text{Dots above 14}: | \\ \text{Dots above 15}: | \\ \text{Dots above 18}: | \\ \text{Dots above 19}: ||[/tex]
Step-2: Put the values in ascending or descending upon your choice:
[tex]10, 10, 12, 13, 14, 15, 18, 19, 19[/tex]
Step-3: Determine wether the total number of digits in the data is even or odd. This will help us find the median.
[tex]\text{9 digits in total}\\\\\text{The number of digits is \underline{odd}}[/tex]
Since the number of digits is odd, we will use the formula (a + 1)/2
(where a is the number of digits in the data)
Step-4: Substitute the number of digits in the formula.
⇒ (a + 1)/2th
⇒ (9 + 1)/2th
⇒ (10)/2th
⇒ 5th digit is median
Step-5: Look for the 5th digit in the data. That digit is your median.
[tex]10, 10, 12, 13, \underline{\underline{14}}, 15, 18, 19, 19[/tex]
The median of the dot plot is 14.
Write a two-column proof on a space provided
Answer:
Step-by-step explanation: