Answer:
19.81cm^2
Step-by-step explanation:
To solve this, you need to use Heron's formula. Heron's formula solves for the area of a triangle given 3 sides defined as a, b, and c, as well as the perimeter. In this formula, p is half of the perimeter. The formula is:
sqrt(p*(p-a)*(p-b)*(p-c))
Plugging the values into this formula gives 19.81cm^2.
identifying values in the domain
h(x)=x-4
determine for each x value whether it is in the domain of h or not
Answer:
-4 0 4
Step-by-step explanation:
Answer:there all in the domain
Step-by-step explanation:
PLEASE HELP I WILL GIVE OUT BRAINLIST
Answer:
x = 17
<2 = 121
Step-by-step explanation:
We know that angle 1 and angle 3 form a linear pair, which means they add to 180
7x+2 + 3x+8 = 180
Combine like terms
10x+ 10 = 180
Subtract 10 from each side
10x+10-10 = 180-10
10x = 170
Divide by 10
10x/10 =170/10
x = 17
Angle 1 and angle 2 are vertical angles and vertical angles are equal
<1 = <2 = 7x+2 = 7(17) +2 =119+2=121
2.
What does the word term mean in an Arithmetic Sequence?
Answer:
It means to give an in depth sentance
Step-by-step explanation:
Answer:
Step-by-step explanation:
I will give u ex to be more clear
3, 6, 9, 12
here 3 is the first term
9 is the second term
and so on
hope this helps
If tomorrow is the 4th of June, what day will it be three days from today
Answer:
6th of June or June 6th
Step-by-step explanation:
That means today will the 3rd of June because tomorrow is the 4th of June. That means in three days, it will be the 6th of June.
a small college had 2570 students in 1994 and 2734 students in 1996. if the enrollment follows a linear growth pattern, how many students should the college have in 2004 ?
Answer: The final answer is 3390.
Step-by-step explanation:
Before answering the question, you have to understand that a linear growth pattern is a straight-line pattern (not exponential growth).
-From 1994 to 1996 are 2 [years]
-In 2 [years], there is a growth of 2734-2570 = 164 [students]
-With a linear growth, we can take the above [number of students] (164) divided by 2 [years] to get a [growth rate] of 82 [students per year]
⇒ [tex]\frac{164}{2} =82[/tex] [[tex]\frac{number of students}{years}[/tex] or number of students per year or growth rate]
-From 1996 to 2004, there are 8 [years]
-Therefore:
8 [years] × 82 [students per years] = 656 [students] => increased in students
-We add 656 [students] increased to 2734 [students] in 1996 = 3390 [students] in 2004
The final answer is 3390.
Hope this help. :D
Colbalt-60 has half-life of about 5 years, How many grams of a 300 g sample will remain after 20 years?
Answer:
After 20 years 18.75 gm of sample will remain.
Step-by-step explanation:
The half-life is the time it takes for any amount of Cobalt-60 to decay to half the starting amount.
20 years is 4 times the half-life of 5 years. So there would be
(300 g) / 2⁴ = 18.75 g
remaining after 20 years.
In other words, after 5 years, 300 g decays to 150 g.
After another 5 years (total 10 years), 150 g decays to 75 g.
After another 5 years (total 15 years), 75 g decays to 37.5 g.
After another 5 years (total 20 years), 37.5 g decays to 18.75 g.
At Acme Inc., there are 3 more than twice as many salespeople as inventors. If the whole company has 27 employees,
how many inventors are there?
Answer:
There are 8 inventors.
Step-by-step explanation:
Let 's' be the salespersonLet 'i' be the inventorsGiven that there are 3 more than twice as many salespeople as inventors.
i.e s = 3+2iAlso given that the whole company has 27 employees.
i.e.
s + i = 27
substituting s = 3+2i
3 + 2i + i= 27
3 + 3i = 27
3i = 27 - 3
3i = 24
divide both sides by 3
i = 8
Thus, there are 8 inventors.VERIFICATION
As the total number of employees is 27.
so the salespeople will be:
s = 3+2i
= 3 + 2(8)
= 3 + 16
= 19
Thus, the total employees are verified as:
s + i = 27
19 + 8 = 27
27 = 27
Edgar said 3/5 is equivalent to 18/32. Check his work by making a
table of equivalent ratios.
Answer:
In a nutshell, [tex]\frac{3}{5}[/tex] is not equivalent to [tex]\frac{18}{32}[/tex].
Step-by-step explanation:
Now we proceed to demonstrate that Edgar's statement is false:
1) [tex]\frac{3}{5}[/tex] Given
2) [tex]\frac{3}{5} \times \frac{2}{2}[/tex] Modulative property/Existence of multiplicative inverse
3) [tex]\frac{6}{10}[/tex] [tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot b}{c\cdot d}[/tex]
4) [tex]\frac{6}{10}\times \frac{3}{3}[/tex] Modulative property/Existence of multiplicative inverse
5) [tex]\frac{18}{30}[/tex] [tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot b}{c\cdot d}[/tex]/Result
In a nutshell, [tex]\frac{3}{5}[/tex] is not equivalent to [tex]\frac{18}{32}[/tex].
Write an algebraic expression that represents each word expression. You want to store an equal number of books on each of the 5 shelves on your bookcase. If you have b books, how many books will be on each shelf?
Answer: [tex]\dfrac{b}{5}[/tex]
Step-by-step explanation:
Given: Let b = Total number of books.
Total shelves = 5
Number of books on each shelf = (Total number of books) ÷ (Total shelves)
= b ÷ 5
[tex]=\dfrac{b}{5}[/tex]
The required expression for the number of books on each shelf = [tex]\dfrac{b}{5}[/tex]
OKAY THIS I NEED IT DONE FAST PLSSSA scale drawing of an ant uses a scale of 1
centimeter = 1,5 millimeters. If the actual ant
is 5 mllimeters long, find the length of the ant
on the drawing,
Answer: 3.33 centimeters
Step-by-step explanation:
From the question, we are informed that the scale drawing of an ant is given as:
1 centimeter = 1.5 millimeters
If the actual ant is 5 mllimeters long, the length of the ant on the drawing would be calculated as:
= 5 / 1.5
= 3.33 centimeter
Answer:
3.33
Step-by-step explanation:
Find the value of 4x-4 given that - 3x +7=4.
A driver drives to school along the same routine Monday through Friday. There is one traffic light on her route . The probability that the light will be red is 65% . What is the probability that she will not have to stop at the light all next week?
Answer:
0.525%
Step-by-step explanation:
Since we are trying to find the probability of a sequence of events we simply need to multiply the probability of each of these events happening separately from one another. We are told that the probability that the light will be red is 65% that means that the probability that it will be green and that the driver will not need to stop is 35%. This probability remains the same every day of the week. Therefore we need to multiply this probability 5 times, one time for each weekday Monday through Friday, but first we need to turn this percentage into a decimal form by dividing it by 100...
35% / 100 = 0.35
0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.00525 ...multiply by 100 to get percentage
0.00525 * 100 = 0.525%
Finally, we can see that the probability that she will not have to stop at the light all next week is 0.525%
Can you please help me find FH
Answer:
is fh not 4x-25
Step-by-step explanation:
ASAP!! madeline invested $2,800 in an account paying an interest rate of 4.4% compounded annually. assuming no deposits or withdrawals are made, how long would it take to the nearest tenth of a year for the value of the account to reach $6,100?
Answer:
18.1
Step-by-step explanation:
What is the value of the expression 6 + 5 · (8 ÷ 2) 2 ?
Answer:
88
Step-by-step explanation:
6+5=11
8/2=4
11x(4)2
The value of the expression 6 + 5 . (8 ÷ 2) 2 is 46.
What is BODMAS rule?BODMAS rule is a rule of calculating expressions which include more than one different mathematical operations.
BODMAS is an abbreviation for Brackets, Orders, Division, Multiplication, Addition and Subtraction.
So while calculating expressions including different operations, we should follow this order.
Here, the given expression is 6 + 5 . (8 ÷ 2) 2.
By BODMAS rule, we should calculate the expression in the bracket first.
8 ÷ 2 = 4
So, the expression becomes 6 + 5 × 4 × 2.
There are two operations, multiplication and addition here.
We should go for multiplication first.
5 × 4 × 2 = 40
The expression becomes 6 + 40 = 46.
Hence we got the value of the expression 6 + 5 . (8 ÷ 2) 2 as 46.
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hello im ganna do fraccions what is 13\15 + 8\3 + 2\9 =
Answer:
3 34/45
Step-by-step explanation:
The common denominator of these is 45.
13/15 = 39/45
8/3 = 120/45
2/9 = 10/45
Add that up and that is 169/45
Simplify as a mixed number, and it would be 3 34/45
Answer:
169/45
Step-by-step explanation:
First lets do 13/15 + 8/3.
We can multiply 8/3 by 5 to both num and denom for a ration, with the denominator being 15: 40/15.
Then add 13/15 to 40/15 to get 53/15
Now multiply that by 3 to both num and denom to get 159/45. This is to get the least common factor with 9.
2/9 can be multiplied by 5 to both num and denom to get the least common factor with 15: 10/45
Now add 159/45 with 10/45 = 169/45
169/45 is the least it can be simplified so that is the answer.
8x^3 =(−2x)(A) help me plz
Answer:
x = 0
Step-by-step explanation:
What is the solution to this equation?
2x +3 =X-4
Answer:
-7
Step-by-step explanation:
2x + 3 = x - 4
-3 = -3
2x = x - 7
-x -x
x = -7
Leah scored 13 points the first half of the basketball game, and she scored x points in the second half of the game. Write an expression to determine the number of points she scored in all. Then, find the number of points she scored in all if she scored 3 points in the second half of the game.
Answer: Expression: 13+x
Answer if she scored 3 in the second half=16
Step-by-step explanation:
Since she scored 13 points in the first half and X amount in the second, it's asking for the total number. Since X is unknown, it's simply 13+x. Then, they say X=3. Now plug 3 in for X and solve.
ie: 13+3
What is the sale price on an item that is $50 with a 54% markdown?
The sales price on an item that is $50 with a 54% markdown is $23
How to determine the sale price on an item that is $50 with a 54% markdown?The given parameters are
Item price = $50
Markdown = 54%
The sales price on an item that is $50 with a 54% markdown is calculated as
Sales price = Item price * (1 - Markdown)
So, we have
Sales price = 50 * (1 - 54%)
Evaluate
Sales price = 23
Hence, the sales price on an item that is $50 with a 54% markdown is $23
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Draw a rectangle with dimensions that are a third of the rectangle below. Label the sides lengths of your new rectangle.
HELP PLEASE!!
After dilation the new dimensions of the rectangle is drawn and shown in the image attached below.
What is Dilation?Dilation simply refers to the enlargement or reduction of the size of an image.
When an image is enlarge, the original size of the image increases, while when it is reduced, the new image formed will have a size that is smaller than the original image.
To dilate an image, a scale factor is used. If the scale factor is less than 0, it is a reduction, if it is more than 0, it is an enlargement.
To get the length of the sides of the new image, multiply the length of each side of the original image by the scale factor.
In the diagram given, we have the following:
Length of original image = 12 units
Width of original image = 9 units
To create a third of the rectangle given, it means the scale factor for the dilation is 1/3.
Length of new rectangle = 12 units × 1/3 = 4 units
Width of new rectangle = 9 units × 1/3 = 3 units
Thus, after dilation the new dimensions of the rectangle is drawn and shown in the image attached below.
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plz help i will report if your not trying to answer
Answer:
c
Step-by-step explanation:
It might be wrong but I think its right
Answer:
36
2^2 = 4
9^0 = 1
Solve the system given:
y = -6
y = -2x - 2
A(-3,1)
B (-6,2)
C (1,3)
D (2,-6)
the answer to your question is:
D (2, -6)
i hope this was helpful ;)
please really need help anyone
Answer:
A = $5183.36
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested rather than paying it out. Interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Abdul deposited P=$4000 into an account with r=2.6% = 0.026 compounded quarterly. Since there are 4 quarters in a year, n=4. We are required to calculate the amount in the account after t=10 years.
Applying the formula:
[tex]{\displaystyle A=4000\left(1+{\frac {0.026}{4}}\right)^{4*10}}[/tex]
[tex]{\displaystyle A=4000\left(1.0065\right)^{40}}[/tex]
A = $5183.36
Pls help pls
10 points!!!!!
I’ll mark as brainlest
Answer:
See explanation
Step-by-step explanation:
9) B
Larallel lines hav ethe same slope as each other.
Pat has a fever.His temperature is 99.3F. If the conversation is Celsius is C=5/9(F-32), what is the most accurate measurement of Pat’s temperature in degrees Celsius?
Answer:
37.4
Step-by-step explanation:
The most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
Given that, Pat has a fever of temperature is 99.3° F.
What is the conversion of Celsius to Fahrenheit?Celsius to Fahrenheit is the conversion of temperature from Celsius unit to Fahrenheit unit. Temperature scales provide a way of measuring how hot or cold a body is. Fahrenheit and Celsius are temperature scales.
The formula to convert Celsius to Fahrenheit is given by: °F = °C × (9/5) + 32.
The formula to convert Fahrenheit to Celsius is C=5/9(F-32)
Now, C= 5/9 (99.3-32)
= 5/9 × 67.3
= 37.39°
Hence, the most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
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108 is one interior angle of a regular
Answer:
There are 108° in each interior angle of a regular pentagon. This process can be generalized into a formula for finding each interior angle of a REGULAR polygon Each interior angle of a “regular” polygon is given by where n = the number of sides in the polygon.
Step-by-step explanation:
answer by sunday plz!!
Answer:
y=3*x
Step-by-step explanation:
john bought 3 notebooks for 9 dollars
so 9/3=3
notebooks costed 3 dollars each
x-number of notebooks
y-cost of notebooks
so
y=3*x
because 3 dollar cost every notebook you could buy.
if i buy 2 notebooks
so x=2
y=3*2=6 dollars
if I buy 3 notebooks
then y=3*3=9 dollars
end this way continues
at one of george washington's parties, each man shook hands with everyone except his spouse, and no handshakes took place between women. if 1313 married couples attended, how many handshakes were there among these 2626 people?
The total number of handshakes was 234.
The first man shook hands with 12 other men.The second man shakes hands with 11 other men, as he had already shaken hands with the first man.Like-wise, the last man does not need to shake hands again as every man has already shaken hands with him in their respective turns.The number of handshakes among men is 0 + 1 + 2 + … + 12.The sum of "n" natural numbers = (n)(n+1)/2The number of handshakes among men is 12(13)/2.The number of handshakes among men is 78.Each man shakes hands with every woman except his spouse.Each man shakes hands with 12 other women.The number of handshakes between men and women is 13*12.The number of handshakes between men and women is 156.The total number of handshakes is 78 + 156.The total number of handshakes is 234.To learn more about natural numbers, visit :
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I NEED HELP AND FAST PLEASE!!! I’m not sure if I chose the right answer or not!!
Answer:
d
Step-by-step explanation:
the graph increases then goes horizontal
Answer:
D
Step-by-step explanation:
D is the choice you have to make. The culprit is the word quickly. You can't tell if the speed is increasing quickly or not.
The correct part of d is that the bicycle stays at a constant rate until the end of the timing of the graph.