The rectangular base area is the space the rectangular base occupies
The area of the rectangular base is 60 square inches
How to determine the area of the rectangular base?The diagram is not given. So, I will apply provide a general solution.
Using the similar shapes concept, the area of the rectangular base can be represented as:
Ratio = Height : Area
This gives
3 : 36 = 5 : Area
Express as fraction
36/3 = Area/5
Evaluate the quotient
12 = Area/5
Multiply both sides by 5
Area = 60
Hence, the area of the rectangular base is 60 square inches
Read more about areas at:
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g[f(x)] if g(x) = x2 and f(x) = x + 3.
Find the value of X and perimeter.
How many solutions does this nonlinear system of equations have?
Answer:
ONE “1”
Step by step:
Taking into account the definition of a system of equations, this nonlinear system of equations has one solution.
A system of equations is a set of two or more equations that share two or more unknowns. The solutions of a system of equations are all the values that are valid for all equations.
That is, to find the solution to a system of equations, you must find a value (or range of values) that satisfies all the equations in the system.
Graphically, the points where the graphs of the equations intersect will be the solutions to the system.
A system of equations with a linear equation and a quadratic equation can have two, one, or no solutions. To find its quantity, we must look for the intersection between both graphs:
If the graphs of the equations do not intersect, then there are no solutions for both equations. If the parabola and the line touch at a single point, then there is a solution for both equations. If the line intersects the parabola in two places, then there are two solutions to both equations.
In this case, you can see that the parabola and the line touch at a single point. Then there is a solution for both equations.
In summary, this nonlinear system of equations has one solution.
On average five birds hit the Washington Monument and are killed each week. Joe, an
official, has requested that Congress allocate funds for equipment to scare birds away
from the monument. A congressional subcommittee has replied that funds cannot be
allocated unless the probability of more than three birds being killed in any week
exceeds 70%. Will funds be allocated?
Answer:
Yes
Step-by-step explanation:
An average of five birds hit the monument each week and in order to receive the funds, more than three birds have to be killed in a week
A High School’s football Stadium holds a total of 7,000 fans. A survey shows that of the total number of fans, 68% root for the home team. How many fans attending a football game are rooting for the home team? Please help!
A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas, how many of the packages are corn tortillas?
Answer:390
Step-by-step explanation:
500*.22=110
500-110=390
390
Answer:
390
Step-by-step explanation:
22% of 500 is 110 so that would make the answer 390 i think
A dinner plate has a circumference of 113.04 cm. What is the area of the dinner plate? (Use 3.14 for .)
A.
226.08 cm2
B.
2,034.72 cm2
C.
1,017.36 cm2
D.
56.52 cm2
option C
hope it helps...!!!
Answer:
[tex]\fbox{Area = 1017.36 sq.cm.}[/tex]
Step-by-step explanation:
Given:
circumference of circular dinner plate= 113.04 cm
To find:
Area of dinner plate = ?
Solution:
circumference = 113.04 cm.
we know that circumference = 2πr
[tex]2 \pi r = 113.04 \: cm \\ r = \frac{113.04 }{2 \pi} \\ r = \frac{113.04 }{2 \times 3.14} \\r = \frac{113.04 }{6.28} \\ \fbox{r = 18 \: cm}[/tex]
We know that,
Area of circle = πr²
now substituting value of r in above formula,
[tex] \pi {r}^{2} = 3.14 \times 18 \times 18 = 1017.36 \: {cm}^{2} [/tex]
[tex] \fbox{Area = 1017.36 sq.cm.}[/tex]
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I’m not sure the steps to figure out the problem. X = 2 to x =4
Answer:
you have to put the Y in the formula or make a comparison
Find the measure of ∠ABC.
Answer:
170°
Step-by-step explanation:
There is a total of 180° and the angle is 10° less...
So, 180°-10° = 170°
Please 5 stars if correct!!!
I hope this helps!!!
Determine which of the triangles below are unique. Share your reasoning.
Triangle A: All angle measure 60 degrees
Triangle B: All sides have length 6 cm.
Triangle C: Two sides have length 6 cm, and the included angle measures 55
degrees
Triangle D: Base has length of 6 cm, and the base angles are 50 degrees.
Answer:
Triangle A and Triangle BStep-by-step explanation:
I think this is the answer because Triangle A, has a unique that all sides have a measure of 60 degrees. And I also think that Triangle B is unique because It's an Equilateral triangle, which means that all sides have the same length.
So hence, I think the answer is A and B
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Always keep more than 2 smiles! You have to share them with people who don't have one too, right??
Thanks!
:D
How do you write 7,100 in scientific notation
Answer:
7.1 x 10³
Step-by-step explanation:
Move your decimal so that it follows your first whole number greater than zero. The number of places you moved the decimal is the same as the exponent. Since the number 7.1 needs to INCREASE to be 7,100, then the exponent is positive.
Answer:
7.1 x 10[tex]^{3}[/tex] (note the 3 is an exponent)
Step-by-step explanation:
1. Count how many places there are to the right of 7
2. There are 3
3. Apply the formula of scientific notation a x 10[tex]^{b}[/tex]
4. 7.1 x 10[tex]^{3}[/tex] (remove all digits after 7.1
Hope this helps :)
Find the slope of the line that passes through the two given points:
(-1, 4) and (5, 3)
A line starting in the third quadrant, crossed the x axis twice, and then ending in the first quadrant
Answer:
[tex] \frac{ - 1}{6} [/tex]
Step-by-step explanation:
[tex]slope \: = \frac{y2 - y2}{x2 - x1} \\ slope = \frac{3 - 4}{5 - - 1} \\ sope = \frac{ - 1}{ \: \: \: 6} [/tex]
The mean weight of three people in a lift was 62kg. If two of them weighed 55kg each, how much did the third person weigh?
Answer:
72 kg
Step-by-step explanation:
let weight of third person=x
62-55=x-62
7=x-65
x=7+65=72 kg
Shoe Size
2
4
6
8
10
12
At soccer practice, Mike asked each of his teammates to write down their shoe size.
What is the interquartile range for Mike's teammates' shoe sizes?
Answer:
2
Step-by-step explanation:
To find the interquartile range, subtract the lower quartile from the upper quartile.
The upper quartile is 7.
The lower quartile is 5.
Subtract.7–5=2
The interquartile range for Mike's teammates' shoe sizes is 2 sizes.
The interquartile range for Mike's teammates' shoe sizes is R = 2
What in Interquartile Range ( IQR )?The distance between the upper and lower quartiles is known as the interquartile range. Half of the interquartile range corresponds to the semi-interquartile range. Finding the values of the quartiles in a small data set is straightforward.
The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR. It is described as the spread between the data's 75th and 25th percentiles.
Given data ,
Let the interquartile range be represented as R
Now , the equation will be
Let the shoe sizes be represented as set A
A = { 2 , 4 , 6 , 8 , 10 }
Now , the upper range of the quartile is = 7
The lower range of the quartile is = 5
And , the interquartile range R = upper quartile - lower quartile
On simplifying , we get
The interquartile range R = 7 - 5 = 2
Hence , the interquartile range R = 2
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What is the median of this data set?
{29, 22, 23, 31, 29, 29, 22, 23}
Answer:
The median is 26
Step-by-step explanation:
A "median" is equivalent to when the terms are arranged in the proper order, whichever term is in the "middle".
So- first, arrange the terms in ascending order.
[22, 22, 23, 23, 29, 29, 29, 31]
There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.
(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.
(52)/2 = 26
Therefore, the median is 26.
I hope this helped! :)
Hello!
In order to find the median of a dataset, we should first order the numbers in the dataset from least to greatest:
29, 22, 23, 31, 29, 29, 22, 23
The smallest number is 22, then 23, then 29, then 31:
22, 22, 23, 23, 29, 29, 29, 31
How many numbers are in this set? 8. An even number!
So we find the mean of the 2 numbers in the middle (23 & 29)
We add these numbers and then divide by 2 (because we have 2 numbers)
[tex]\bf{\displaystyle\frac{23+29}{2}}[/tex]
[tex]\bf{\displaystyle\frac{52}{2}}[/tex]
Which is equal to
[tex]\boxed{\bigstar{\text{Answer:{\boxed{\boxed{26}}}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Help picture below problem 14
Answer:
100
Step-by-step explanation:
Since l and r Parrell lines that means the measure of 4 is 80 since there vertical angles. And then 1 and 4 needs to be supplementary which means the two angles combined equals 180. so 180-80=100
so 1s angle measure is 100
what is the awnser to 5+(5x20)x 30
Answer: 3005
Step-by-step explanation: multiply 5 by 20 and it will give 100 then times 30 Equals 3000 and plus gives 3005 . Please mark brainliest
Answer:3005
Step-by-step explanation :multiply 5 by 20 and it will give 100 then multiply by 30 that Equals 3000 and plus 5 that gives you 3005
What numbers round to 200,000 when rounded to the nearest hundred thousand? Select all that apply.
165,400 and 220,574
=================================================
Explanation:
The value in the hundred thousands digit of 165,400 is "1". Just to right of it is "6", which is five or more, meaning we bump that "1" up to "2". Everything else gets replaced with a zero.
The number 165,400 rounds to 200,000 when rounding to the nearest hundred thousand. The number 165,400 is closer to 200,000 than it is to 100,000.
-------------------------
In 220,574 we have the first "2" in the hundred thousands digit with another "2" just to the right of it. Since that second "2" is not five or more, we replace everything with zeros to get 200,000. We won't bump that first "2" up by one.
220,574 is closer to 200,000 than it is to 300,000.
These two sections help show why choices C and D are the answers.
--------------------------
Something like 142,026 rounds to 100,000 for similar reasoning as the previous section. So we can rule out choice B.
Choice A rounds to 100,000 as well, so we can rule it out also.
Choice D rounds to 1,000,000 which means we cross it off the list.
As Juan continued his hitting practice showing off his abilities, one of the balls flew over the center field stands and into the parking lot. “Did you see that shot”, he yelled at the girls. “The ball hung in the air for at least 10 seconds”, he exclaimed.
The formula for this hit is:
h(x−) = 16+x2 8+3x 4 where h is the height of the ball and x is the number of seconds the ball is in the air.
I need help with part B
Answer:
A. Find h(10) = 0 . . . (it is not)
B. h(5.235) = 0; hang time was about 5.235 seconds
Step-by-step explanation:
The hang time of the ball is the value of x in h(x) such that h(x) = 0.
__
A.Juan can show the hang time is 10 seconds by finding h(10) = 0. The value of h(10) is ...
h(10) = -16(10²) +83(10) +4 = -1600 +834 = -766 ≠ 0
Juan cannot prove the hang time was 10 seconds.
__
B.The hang time is the solution to ...
h(x) = 0
-16x² +83x +4 = 0 . . . . . use the given expression for h(x)
x² -5.1875x = 0.25 . . . . divide by -16
x² -5.1875x +6.7275390625 = 6.9775390625 . . . . add (5.1875/2)²
(x -2.59375)² = 6.9775390625 . . . . . . . . . . rewrite as a square
x = 2.59375 ±√6.9775390625 ≈ {-0.048, 5.235} . . . . square root, find x
The hang time of the ball was about 5.235 seconds.
__
We like a graphing calculator for finding a quick solution to questions like this.
f ( 1 ) =
solve f ( x ) =1:
x =
Answer:
If b=5:7, find the value of B in terms of c
Roberto's science grade is calculated using a weighted average. Quizzes are worth 25%, homework is worth 10%, unit tests are worth 30%, and labs are worth 35%.
Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit tests, and 94% on his labs.
What is Roberto's final science grade?
93.3%
93.9%
94.8%
95.3%
Answer:
Final grade: 93.9%
Step-by-step explanation:
The weights are as follows: 0.25, 0.10, 0.30 and 0.35. Note that these add up to the whole, that is, to 1.00.
Then the final grade is:
0.25(94) + 0.10(99) + 0.30(92) + 0.35(94) = 93.9
A straight line has gradient - 1/2 and y-intercept 3.
Write the equation of the line in the form of ax + by + c
Answer:
[tex] - \frac{1}{2} x - y + 3 = 0[/tex]
Step-by-step explanation:
as shown in drawing
A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.
Rule: Multiply the input by 5. Then subtract 4 from the result to get the output.
Which input and output table works for the rule?
Choose 1 answer:
(Choice A)
Input: 5 Output: 5
(Choice B)
Input: 3 Output: 7
(Choice C)
Input: 2 Output: 6
Answer:
Choice C - Input: 2 Output: 6
Answer:
C
Step-by-step explanation:
evaluate the output for the given input values using the rule
choice A
5 × 5 - 4 = 25 - 4 = 21 ≠ 5
choice B
3 × 5 - 4 = 15 - 4 = 11 ≠ 7
choice C
2 × 5 - 4 = 10 - 4 = 6 ← equals the output value
Luke's house is due west of Toronto and due south of Barrie. Toronto is 16 kilometres from Luke's house and 20 kilometres from Barrie. How far is Barrie from Luke's house, measured in a straight line?
Using the Pythagorean Theorem, it is found that Barrie is 12 miles from Luke's house, in a straight line.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
This problem can be modeled by a right triangle, with [tex]l_1 = 16, l_2 = d, h = 20[/tex], hence:
[tex]h^2 = l_1^2 + l_2^2[/tex]
[tex]16^2 + d^2 = 20^2[/tex]
[tex]d^2 = 144[/tex]
[tex]d = 12[/tex]
Barrie is 12 miles from Luke's house, in a straight line.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982
Which number is a common multiple of 2 and 4?
A) 14
B) 24
C) 26
D) 34
LAST QUESTION MORE POINTS!
Answer:
Step-by-step explanation:
c I think I did the math that’s what it leads to so yeah
Can somebody help me pls!
Answer: C
Step-by-step explanation:
Just look at a z-score table and multiply by 100.
-> (0.308538)(100) is about 30.85%
Alice is making bracelets to sell. She plans to put 12 beads on each bracelet. Beads are sold in packages of 20.
#1. What is the least number of packages she can buy to make bracelets and have no beads left over?
#2 If each package of beads costs $5.50, how much will the beads cost for her project?
Show and Explain your work
Hint: the “T” Method works well for show and explain. Make sure you have all of the details explained. If someone only read your explanation they should know… what the question is, all of the steps needed to answer the question and what your final answer is.
Answer:
question 1 is 60 beads and question 2 is 16 dollars and 50 cents.
Step-by-step explanation:
for question 1 the are asking for the lowest common denomonator (60)
for question 2 you devide 60/20 and multiply by 5.50
3 x 5.50 = 16.5$
damita uses the pythagorean theorem to write the equation 2k² = j² to represent the triangle shown. Is she correct? Explain.
Answer:
Yes, She is correct.
Step-by-step explanation:
Pythagorean theorem:
base² + altitude² = hypotenuse²
k² + k² = j²
Add the like terms. Like terms have same variable with same power.
2k² = j²
Please help I'll mark brainliest
✿————✦————✿————✦————✿————✦————✿
So, to find the mean they added up the scores from 20 seasons and divided by 20, the number of seasons to get an average score of 10.4.
10.4 = (x1 +x2 +x3 ... +x20 )/20
Then;
10.4*(20) = (x1 +x2 +x3 ... +x20 )
208 = sum of the first 20 seasons
We want to add one more number in there, the 21st season with a score of 14. Add the 14 to the sum of the first 20 seasons and then divide by 21, the new number of seasons you're averaging.
Mean = (208+14)/21
✿————✦————✿————✦————✿————✦————✿
Answer
= 10.6
✿————✦————✿————✦————✿————✦————✿
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URGENT I NEED IT NOW PLEASE HELP ME!!!!