The area of the triangle shown is represented by A= square root of s(s-10)(s-7)(s-5), where s is equal to half the perimeter. What is the height of the triangle? Round your answer to the nearest tenth.
Answers
S is half the perimeter, so .5*(7+5+10)=11
Plug in 11 and you get A=sqrt(264)
A also is half base times height
sqrt(264)=.5*10*h
h=sqrt(264)/5
h=3.25
Related Questions
-(18+4x)=8 hope you can help
Answers
Then you distribute
-18-4x=8
-4x=26
X= -6.5
-18 - 4x = 8 Then you can add -4x to the other side to make it positive and then subtract 8 to the other side to work on getting x all by itself.
-18 - 8 = 4x Then add your two negatives (because you add negatives when you have two of them because you are kind of making the answer more negative in a way :/ ) to get -26:
-26 = 4x Then divide by 4 to simplify and get x all by itself which leaves you with:
-6.5 = x (because when you divide a negative by a positive the quotient is negative) Check your answer by substituting -6.5 in for x in the original equation:
-[18 + 4(-6.5)] = 8 Multiply 4 times -6.5 (because you always start with the innermost parentheses) to get -26:
-(18 - 26) = 8 Change the signs because of the negative in the front:
-18 + 26 = 8 Subtract -18 from 26 to get 8
8 = 8 Correct! So your answer is x = -6.5!
The underlying rock ledge of Canada's horseshoe falls is cut back about 2 feet each year by erosion. Calculate how much the rock ledge will erode over a 7 year period of time
Answers
So the rock edge is cut back 2 feet each year by erosion and we have to figure out how much it will be cut back by 7 years using this knowledge so.
2 feet each year
2 + 2 + 2 + 2 + 2 + 2 + 2
or
7 x 2
=
14 so:
The Rock Ledge will have eroded 14 feet at the end of 7 years
Hope this helps!!! :) ;)
Kate drives 234 miles in 5 hours Felix only has to drive one half of the distance that kate does how many miles does Felix has to drive?
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How can a mixed number be written as a sum?
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To write a mixed number as a sum, separate the whole number part and the fractional part, such as 3 1/2 as 3 + 1/2.
A mixed number can be written as a sum by separating the whole number part and the fractional part. For example, 3 1/2 can be written as 3 + 1/2. This means 3 plus one-half.
Margaret decided to invest $2,000 in a savings account for 18 months at a simple interest rate of 5% how much money will she have earned at the end of 18 months
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What is the answer to this problem
Answers
How do you write 59/100 as a decimal
Answers
0.59 is written as a decimal for 59/100
A number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. 13.6 is a decimal number, for instance in this case, the whole number half is 13, and the fractional part is 6.
The decimal point is ".".
To convert the given number into decimal:
Given number is 59/100
Count the zeroes in the denominator and shift the decimal to the left-hand side that times.
Here, 2 zeroes are there, So shift decimal to left-hand side 2 places.
So, it will result in 0.59
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The population of Adamsville grew from 7,000 to 12,000 in 5 years. Assuming uninhibited exponential growth, what is the expected population in an additional 5 years?
Answers
The expected population of Adamsville in an additional 5 years, assuming uninhibited exponential growth, is approximately 21,803 individuals.
Explanation:The question is based on exponential growth, a fundamental concept in mathematics. To solve for the population of Adamsville in the next 5 years, we need to know the growth rate. The formula for exponential growth is P = P0 * e^(rt), where:
P is the future populationP0 is the initial populationr is the exponential growth rate (as a decimal)t is time (in years)Given that the population grew from 7,000 to 12,000 in 5 years, it follows that 12,000 = 7,000 * e^(5r). Solving for r, we find that the annual growth rate is approximately 0.14496. Therefore, the estimated population in another 5 years would be P = 12,000 * e^(5 * 0.14496), which yields approximately 21,803. This suggests that if Adamsville's population continues to grow at an uninhibited exponential rate, in the next 5 years, it will reach roughly 21,803 individuals.
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the bakery sold 65 cheesecakes. 3/5 of the cakes were chocolate. how many chocolate cheesecakes did they sell?
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Gail has eight united states coins. Their total value is 93 cents. What coins does she have?
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3 quarters = $0.75
1 dime = $0.10
1 nickel = $0.05
3 pennies = $0.03
3 + 1 + 1 + 3 = 8 coins
$0.75 + $0.10 + $0.05 + $0.03 = $0.93
Will mark brainliest. HELP PLEASE. QUICK
Answers
If 3n+m=14 and n+m=1, find the value of n-m.
Answers
We can subtract the two equations.
3n+m=14
n+m=1
3n-n=2n
m-m=0
14-1= 13
We are left with:
2n=13
Divide both sides by 2.
n=6.5
Plug that in to find m.
n+m=1
6.5+m=1
Subtract both sides by 6.5.
m=-5.5
Now, put the values for m and n into the last equation for the value.
n-m
6.5-(-5.5)
Two negatives make a positive.
6.5+5.5= 12
The value is 12.
I hope this helps!
~kaikers
if your going 20 miles per hour how long will it take you to reach 100 miles
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20 = 1
*5=*5
100=5 hours
Clearing fractions
SOLVE
Answers
.. 47 ≤ 10x +60
Now, subtract 60 and divide by 10
.. -13 ≤ 10x
.. -1.3 ≤ x
Which function has the same y-intercept as the function y=2 /3x-3?
A 2/3 x + 3y = -3
B -2/3 x + 3y = 6
C x + 4y = 12
D 6x - 7y = 21
PLEAZ answer im in a hurry
Answers
Answer:
Option D.
Step-by-step explanation:
The given function is
[tex]y=\frac{2}{3}x-3[/tex]
Substitute x=0 in the given function to find the y-intercept.
[tex]y=\frac{2}{3}(0)-3=-3[/tex]
The y-intercept of the given function is -3. We need to find the equation whose y-intercept is -3.
Substitute x=0 in the given each of the equations to find the y-intercepts of those equation.
First equation is
[tex]\frac{2}{3}x+3y=-3[/tex]
[tex]\frac{2}{3}(0)+3y=-3[/tex]
[tex]3y=-3[/tex]
[tex]y=-1[/tex]
y-intercept is -1.
Second equation is
[tex]-\frac{2}{3}x+3y=6[/tex]
[tex]-\frac{2}{3}(0)+3y=6[/tex]
[tex]3y=6[/tex]
[tex]y=2[/tex]
y-intercept is 2.
Third equation is
[tex]x+4y=12[/tex]
[tex](0)+4y=12[/tex]
[tex]4y=12[/tex]
[tex]y=3[/tex]
y-intercept is 3.
Fourth equation is
[tex]6x-7y=21[/tex]
[tex]6(0)-7y=21[/tex]
[tex]-7y=21[/tex]
[tex]y=-3[/tex]
y-intercept is -3.
Therefore, the correct option is D.
The equation of the function that has the same y-intercept as [tex]y = \frac{2}{3}x - 3[/tex] is [tex]\mathbf{6x - 7y = 21}[/tex]. Both functions have the y-intercept of -3.
Recall:
Equation of a line in slope-intercept form is represented as: y = mx + b
y-intercept = b
m = slope
Given the function, [tex]y = \frac{2}{3}x - 3[/tex],
the y-intercept is -3
Rewrite each given option in the slope-intercept form to find which of the function has the same y-intercept value of -3 as in the function [tex]y = \frac{2}{3}x - 3[/tex].
Option A: [tex]\frac{2}{3} x + 3y = -3[/tex]
Rewrite as y = mx + b[tex]\frac{2}{3} x + 3y - \frac{2}{3} x = -\frac{2}{3} x -3\\\\3y = -\frac{2}{3} x -3\\\\3y \times \frac{1}{3} = -\frac{2}{3} x \times \frac{1}{3} -3 \times \frac{1}{3}\\\\\mathbf{y = -\frac{2}{9}x - 1}[/tex]
Thus, the y-intercept is -1Option B: [tex]-\frac{2}{3} x + 3y = 6[/tex]
Rewrite as y = mx + b[tex]-\frac{2}{3} x + 3y + \frac{2}{3} x = \frac{2}{3} x + 6\\\\3y = \frac{2}{3} x + 6\\\\3y \times \frac{1}{3} = \frac{2}{3} x \times \frac{1}{3} + 6 \times \frac{1}{3}\\\\\mathbf{y = \frac{2}{9}x + 2}[/tex]
Thus, the y-intercept is 2Option C: [tex]x + 4y = 12[/tex]
Rewrite as y = mx + b[tex]x + 4y - x= - x + 12\\\\4y = -x + 12\\\\4y \times \frac{1}{4} = -x \times \frac{1}{4} + 12 \times \frac{1}{4} \\\\\mathbf{y = -\frac{1}{4} x + 3}[/tex]
Thus, the y-intercept is 3Option D: [tex]6x - 7y = 21[/tex]
Rewrite as y = mx + b[tex]- 7y = -6x + 21 \\\\-7y \times -\frac{1}{7} = -6x \times -\frac{1}{7} + 21 \times -\frac{1}{7}\\\\\mathbf{y = \frac{6}{7}x - 3}[/tex]
Thus, the y-intercept is -3Therefore, the equation of the function that has the same y-intercept as [tex]y = \frac{2}{3}x - 3[/tex] is [tex]\mathbf{6x - 7y = 21}[/tex]. Both functions have the y-intercept of -3.
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Which word best describes the degree of overlap between the two data sets?
A none
B high
C moderate
D low
Answers
Sorry if I'm wrong
I didn't get ur question that much
Answer:
The Answer Is *HIGH*
Step-by-step explanation:
[tex]\beta \alpha \lim_{n \to \infty} a_n[/tex] :)
Answer number one asap this is not a joke so please not random cmts thx will report if u do!
Answers
.. face area = (50 mm)*(90 mm) = 4500 mm^2
The area of two sides of the bar is
.. side area = (50 mm +90 mm)*(3.5 mm) = 490 mm^2
Together, those areas cover half the bar, so the total paper required is
.. 2*(4500 mm^2 +490 mm^2) = 9980 mm^2 . . . . . . 3rd selection
2. The length of the central rectangle is
.. 8 ft + 6 ft + 10 ft = 24 ft
Its width is 7 ft, so its area is
.. Arect = (7 ft)*(24 ft) = 168 ft^2
Each of the two triangles has a base of 8 ft and a height of 6 ft, so together, they have an area of
.. Atriangles = (8 ft)*(6 ft) = 48 ft^2
Then the total area of the prism is
.. Atotal = Arect +Atriangles
.. = (168 ft^2) +(48 ft^2)
.. = 216 ft^2
Eighteen more than twice a number is 8.Solve for the variable
Answers
2x+18=8
-18 -18 (subtract 18 from both sides)
2x=-10 (divide by 2)
2 2
x=-5
The answer is -5
Julia is the president of the technology Club at school she has $568 to buy as many DVD players as she can for $75 each how many DVD players does Julia by and how much money does she have left over explain why and show your work
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568÷75= 7 remaining 43
This means that Julia can buy 7 DVD players, and will have $43 extra dollars left over.
−(4+h)=3h - what does H equal?
Answers
-4-h=3h
-4=2h
-2=h
Help with 4 and 5 please!!
Answers
The magnitude;
Using Pythagoras theorem,
(-200)² + (-530)² = 320900
Length = √320900
= 566.5 mi
To get the angle
Tan θ = opposite/adjacent
= 200/530
= 0.3774
θ = tan^-1 (0.3774)
= 20.67
≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
About 566.5 mi, 21° south of west
Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
= <0,0>
PLEASE HELP ASAP!!!
A corporation has agreed to donate money to a charity organization each time one of its employees donates to that charity organization. The corporation donates $3 for every $2 donated by an employee. The total amount the corporation donates to the charity organization is proportional to the total amount that its employees donate. Write an equation representing the relationship between c, the amount the corporation donates, and e, the amount its employees donate.
Answers
c =
$3 for every $2 is written as a fraction, since this is a proportional relationship:
[tex] \frac{3}{2} [/tex]
The independent variable here is "e" - the amount of money donated by the employees changes by itself. So when setting up our equation, "e" will be placed next to the proportion:
[tex] \frac{3}{2} e [/tex]
Our final equation will be:
c = [tex] \frac{3}{2} e [/tex]
Final answer:
The relationship between the amount the corporation donates and the amount its employees donate can be represented by the equation c = (3/2)e.
Explanation:
Equation: The relationship between the amount the corporation donates (c) and the amount its employees donate (e) can be represented by the equation: c = (3/2)e.
What are three rational numbers that are between 1/3 and 1/2?
Answers
zahra cuts a loaf of bread into 5 equal pieces she then cuts each piece into 3 equal slices what fraction of the whole loaf is one slice of bread
Answers
Which BEST describes the speed and velocity of the graph?
A)
Both speed and velocity are changing.
B)
The speed and velocity remain constant.
C)
The speed is constant and velocity is changing.
D)
The velocity cannot be determined from the graph.
Answers
A - Both speed and velocity are changing.
Step-by-step explanation:Though the answer is option A but option D can also be true. The velocity cannot be completely determined from the graph. This is because, velocity is based on the direction and motion and the graph is not completely justifying this.
Though velocity cannot be determined, but it is clear from the graph that velocity is changing, because the speed is changing.
Therefore, option A is completely true.
A)
According to the graph, speed is increasing. Velocity is speed plus direction, so velocity is also changing. And this is an acceleration graph, so you know since acceleration is a change in velocity, both speed and velocity are changing.
What is estimate the sum or difference of 1 5/6 + 2 2/11
Answers
Subtract Estimate:0
[tex]3+ \frac{5}{6} + \frac{2}{11} [/tex]
Step 2. Find the Least Common Denominator (LCD) of [tex] \frac{5}{6} [/tex] , [tex] \frac{2}{11} [/tex]
Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.
Multiples of 6 : 6, 12, 18 ... 54, 60, 66, ...
Multiples of 11 : 11, 22, 33, 44, 55, 66, ...
Therefore, the LCD is 66.
Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these
primes.
Prime Factors of 6: 2,3
Prime Factors of 11: 11
Therefore, the LCD is 2 x 3 x 11 = 66.
LCD = 66
Step 3. Make the denominators the same as the LCD
[tex]3+ \frac{5*11}{6*11} + \frac{2*6}{11*6} [/tex]
Step 4. Simplify. Denominators are now the same
[tex]3+ \frac{55}{66} + \frac{12}{66} [/tex]
Step 5. Join the denominators
[tex]3+ \frac{55+12}{66} [/tex]
Step 6. Simplify
[tex]3+ \frac{67}{66} [/tex]
Step 7. Convert [tex] \frac{67}{66} [/tex] into a mixed fraction
[tex]3+1 \frac{1}{66} [/tex]
Step 8. Simplify
[tex]4 \frac{1}{66} [/tex]
Done! :) Hope This Helps! :) ♥♥♥
Decimal Form If Needed: 4.015152
The area of a parallelogram is 375 centimeters the base is 25 centimeters find the height
Answers
By plugging in the information that you have already, we know that: 25*height=375
In other words:
25x=375
x=15
The height is 15cm.
375 divided by 25 equals 15
if you were given a rectangle with a certain area, how would you draw it so that it had the greatest perimeter?
Answers
A------------------> area of rectangle
Let
x-----------> larger side
y-----------> smaller side
r------------> ratio
r=x/y
we know that
if r=1----------- > is a square
to get the largest perimeter I would draw it increasing its larger side x and decreasing its smaller side y, keeping the same area
the ratio must be r>1
example 1
if you have two rectangles with the same Area
the rectangle A have r=1.6 and the rectangle B have r=3
the perimeter of rectangle B > perimeter of rectangle A
example 2
the area of rectangle is 6 units²
rectangle 1-------> 3x2
r=3/2=1.5
P=10 unit
rectangle 2-------> 6x1
r=6/1=6
P=14 units
128 POINTS IF YOU HELP
The Problem: Ms. Chen is planning to take her camp group on a field trip to Pottery Bayou where each person will create her own piece of art pottery
. The regular cost is $20 per person. There is a group special that costs $10 per person with an additional $50 fee for a private room.
Ms. Chen is trying to decide if she should use the regular price or the group special.
A) Write an equation to show the total cost of the regular price with x people. (2 points) B) Write an equation to show the total cost of the group special with x people. (2 points) C) Graph the equations using desmos.
(2 points) • Directions for using the site • Share the link to your graph by copying & pasting it here: D) When would the two admission prices be the same? Explain how you know this using 1-2 complete sentences.
(2 points) E) How much would it cost to bring 6 people on the field trip for the regular price, and how much for the group special? Explain how you know this using 1-2 complete sentences.
(2 points) F) When would it be better to go with the regular price and when would it be better to go with the group special? Explain how you know this using 1-2 complete sentences. (2 points) G) The director of the camp told Ms. Chen that she can have a budget of $150 to bring as many campers as she can.
What deal should Ms. Chen go with and what is the maximum number of people she can bring with $150? Support your answer by showing how many people can go with each deal using 2-3 complete sentences. (3 points)
Answers
Answer: The answer would be y=20x :)
What is the median value of the data set shown on the line plot? Enter your answer in the box. A line plot with twenty-two data values. Labels are at zero, three, six, nine, and twelve. Tick marks are every one unit. Values appear as x marks above the line. Plot data values are one x mark above one, one x mark above two, two x marks above three, two x marks above four, three x marks above five, four x marks above six, three x marks above seven, three x marks above eight, two x marks above nine, and one x mark above eleven.
Answers
Please see the picture attached.
A line plot shows the number of occurrences (crosses) of each number of a data set.
The median is the central value, the middle number, of a data set ordered from least to greatest. When there are two middle numbers, the median will be the mean between the two.
In order to find the median, look at the line plot: count how many values you have (22), then add 1 (23) and divide by two (11.5). Since we have an even number of values, we will have two middle numbers, which will be in the eleventh and twelfth position.
Count the crosses from the left, the eleventh and twelfth crosses both correspond to the number 6, therefore the median is 6.
You can also write all the numbers in increasing order and divide them into two equal groups:
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6 | 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11
The median will be the average between the two central numbers, therefore 6 (again).
Answer:
6
Step-by-step explanation: