Answer:
6 cm²
Step-by-step explanation:
Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.
[tex]\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}[/tex]
⇒ s = Perimeter/2
⇒ a, b, and c = side lenths of triangle
Replacing a, b, and c as the given side lengths:
[tex]\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}[/tex]
Determining the perimeter of the triangle:
[tex]\text{Perimeter of triangle = Sum of it's side lengths}[/tex]
[tex]\implies \text{Perimeter of triangle =}\ 5 + 4 + 3[/tex]
[tex]\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}[/tex]
Determining the half of perimeter:
[tex]\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}[/tex]
[tex]\implies s = \dfrac{12}{2}[/tex]
[tex]\implies s = 6[/tex]
Replacing the value of "s" in the formula:
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}[/tex]
Evaluating the area:
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}[/tex]
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}[/tex]
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6)}[/tex]
[tex]\implies \text{Area of triangle} = 6 \ \text{cm}^{2}[/tex]
Figure b 32.5 12.5 30 figure a 13 12 5
What is
5d- 1 = -11
Can I get a breakdown on the answer please
Answer: d=-2
Step-by-step explanation:
As we know the order of operations are
1) Parenthesis/Brackets
2) Exponents
3) Multiplication/Division
4) Addition/Subtraction
However, when you solve equations you must do the order of operations backwards
So start by adding 1 to both sides because whatever you do to one side of the equation you must do to the other side
[tex]5d-1=-11\\5d-1+1=-11+1\\5d=-10[/tex]
Now divide both sides by 5 to isolate d
[tex]5d=-10\\\frac{5d}{5} =\frac{-10}{5} \\d=-2[/tex]
Round each fraction to help you estimate the solution for the following equation: (2 points) nine tenths minus eight tenths equals a 0 b one half c 1 d one and one half
Answer: 9/10-8/10=1/10
Step-by-step explanation: The answer is 1/110
What are the solutions of x2 = 8 – 5x? startfraction 5 minus startroot 57 endroot over 2 endfraction comma startfraction 5 startroot 57 endroot over 2 endfraction startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 startroot 57 endroot over 2 endfraction startfraction negative 47 over 4 endfraction comma startfraction 67 over 4 endfraction startfraction negative 67 over 4 endfraction comma startfraction 47 over 4 endfraction
The solution of the given quadratic equation are,
[tex]x=\frac{-5-\sqrt{57} }{2}[/tex],[tex]x=\frac{-5+\sqrt{57} }{2}[/tex]
The equation to solve is given as
[tex]x^2=-5x+8[/tex]
Rearrange the given equation in standard form, [tex]ax^2+bx+c=0[/tex]
where, a,b and c are constants.
Therefore, we add 5x-8 on both sides to get,
[tex]x^2+5x-8=0[/tex]
Here, a=1,b=5 and c=-8
The solution to the above equation is
What is the quadratic formula?
[tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex]
Use the value of a,b,c in the quadratic formula and solve for x
[tex]x=\frac{-5\±\sqrt{5^2-4(1)(-5)} }{2(1)}[/tex]
[tex]x=\frac{-5\±\sqrt{25+35} }{2(1)}[/tex]
[tex]x=\frac{-5\±\sqrt{57} }{2(1)}[/tex]
Therefore, the solutions are
[tex]x=\frac{-5-\sqrt{57} }{2},x=\frac{-5+\sqrt{57} }{2}[/tex]
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Answer:
answer is b
Step-by-step explanation:
Lin needs `5` cups of flour to make muffins for her family, but only has `3. 5` cups of flour left. How much more flour does she need?
Answer:
1.5 cups
Step-by-step explanation:
5 - 3.5 = 1.5
Which statement best describes the value of 18 ?
A. The value of 18 is between 2 and 2.5.
B. The value of 18 is between 2.5 and 3.
C. The value of 18 is between 3 and 3.5.
D. The value of 8 is between 3.5 and 4.
Answer:
B. The value of [tex]\sqrt{8}[/tex] is between 2.5 and 3.
Step-by-step explanation:
The square root of 8 is 2.83
Mr. Lee has 61 pencils. He gave some pencils away. Now he has 33 pencils left. Which equation can be used to find how many pencils Mr. Lee gives away.
Answer:
61-33...
Step-by-step explanation:
If he gave away 61 from his 33 then its 61-33
Which is f(6) for the quadratic function graphed?
-2
-0.5
1.5
ОО
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The Correct choice is 4
If we take value of x as 6 in the given function, then we will get the value of y as 4, as shown in the graph.
Solve for x.
Your answer must be simplified.
How many 10 inch pieces of bar can be cut from a bar that measures 120 inches?
Please explain !!
Answer:
12 ten inch pieces
Step-by-step explanation:
you do 120 divided by 10 to get an answer of 12
hope this helped =)
If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data? an association cannot be determined between the categorical variables because the relative frequencies are not similar in value. there is likely an association between the categorical variables because the relative frequencies are not similar in value. an association cannot be determined between the categorical variables because the sum of the relative frequencies is 1.0. there is likely an association between the categorical variables because the sum of the relative frequencies is 1.0.
There is likely an association between the categorical variables because the relative frequencies are not similar in value.
What is the frequency?Frequency describes the number of waves that pass a fixed place in a given amount of time.
A conditional relative frequency table is generated by a column from a set of data. The conditional relative frequencies of the two categorical variables are then compared.
If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data.
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Answer:
There is likely an association between the categorical variables because the relative frequencies are not similar in value.
Step-by-step explanation:
Consider the quadratic function.
f(p) = p2 – 8p – 5
What are the values of the coefficients and the constant in the functio
The values of the coefficients and constant are 1, -8 and -5
Standard quadratic equation
The standard quadratic expression is given as:
y = ax^2 + bx + c
where a, b and c are the constant
Given the quadratic function f(p) = p2 – 8p – 5, on comparing:
a = 1
b = -8
c = -5
Hence the values of the coefficients and constant are 1, -8 and -5
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Thirty
five years ago, the average price of a textbook was $36. Today, the average textbook is $79. What percent increase is this? Round to the nearest percent if needed
A.54%
B.67%
C.119%
D.107%
pls help its an exam
Answer:
107% if you want to be sure check
Jane has two savings accounts, Account S and Account C. Both accounts are opened with an initial
deposit of $400 and an annual interest rate of 4.5%. No additional deposits are made, and no withdrawals
are made. Account S earns simple interest, and Account c earns interest compound annually. Which account will earn more interest after 10 years? How much more?
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The account which is earning compount interest will earn $41.19 more on interest.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
[tex]\text{Simple Interest}= \dfrac{P \times R \times T}{100}[/tex]
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The interest on account S which earns simple interest at rate of 4.5% can be written as,
[tex]\text{Interest in Account S}= \dfrac{P \times R \times T}{100} = \dfrac{\$400 \times 4.5 \times 10}{100} = $180[/tex]
The interest on accout C which earns compound interest at a rate of 4.5% can be written as,
[tex]\text{Interest in Account C}=P(1+r\%)^n - P\\[/tex]
[tex]\text{Interest in Account C}=\$400(1+4.5\%)^{10} - $400 = $221.19[/tex]
The difference in the amount earned by the two account will be,
[tex]\rm Difference = (Interest\ in\ Account\ C) -(Interest\ in\ Account\ S)[/tex]
[tex]=\$221.19 - \$180\\\\=\$ 41.19[/tex]
Hence, the account which is earning compount interest will earn $41.19 more on interest.
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Look at △ABC and △DEF on this coordinate grid.
Which transformation shows that △ABC and △DEF are similar?
A
a dilation of △ABC with a scale factor of 2
B
a translation of △ABC 1 unit up and 3 units to the right
C
a dilation of △ABC with a scale factor of 12
D
a translation of △ABC 3 units up and 3 units to the right
Answer:
A
Step-by-step explanation
Dilation: A shape is scaled up or down by a scale factor
Translation: A shape is moved on a coordinate plane to a different spot.
A works because lets you one side (the bottom side). The bottom has a length of 3, and the bigger one has a length of 6, showing a scale factor of 2.
The graph below shows a linear function and an exponential function.
What is the minimum y-value after which the exponential function will always be greater than the linear function?
y = 1
y = 3
y = 4
y = 5
Answer:
4
Step-by-step explanation:
I already know what a and b are i just need help on c
Answer:
180⁰
Step-by-step explanation:
Since the angle of straight line is 180⁰
Answer:
A and B = 180 degrees
Step-by-step explanation:
this is because a circle is 360 and a line wich would be cutting the line in half is 180. so the two andles must add up to 180 degrees.
PLEASE HELP!!!!!!!!!!!!!!!! what is the perimeter of the trapezoid?
The table below represents the data collected at a sandwich shop for the last six months with respect to the type of bread people ordered (sourdough or wheat) and whether or not they got cheese on their sandwich.
What is the P(cheese | wheat) ? Show all work to receive full credit.
Answer:
The number of times people got cheese and wheat is 1200
Step-by-step explanation:
Hope this helps! Have a good day! :)
Answer:
[tex]\sf \dfrac{12}{19}[/tex]
Step-by-step explanation:
To begin, add the column and row totals to the table (see attachment).
Let W = Wheat
Let C = With cheese
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(W)=\dfrac{1900}{3125}=\dfrac{76}{125}[/tex]
[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]
[tex]\implies \sf P(W \cap C)=\dfrac{1200}{3125}=\dfrac{48}{125}[/tex]
As the events W and C are not independent, we can use the formula:
[tex]\sf P(C\: | \:W)=\dfrac{P(W \cap C)}{P(W)}[/tex]
Substituting the values into the formula:
[tex]\sf P(C\: | \:W)=\dfrac{\frac{48}{125}}{\frac{76}{125}}=\dfrac{48}{76}=\dfrac{12}{19}[/tex]
The sum of two numbers is 53 The larger number is 11 more than the smaller number. What are the numbers?
Answer:
21 and 32 are the numbers
Step-by-step explanation:
Let assume that the the two numbers are X and Y and that X is the large number.
According to the question,
X + Y = 53 .................. Equation 1
then, X = 11 + Y........... Equation 2
Substitute equation 2 into equation 1.
[11 + Y] + Y = 53
11 + 2Y = 53
2Y = 53 - 11 = 42
2Y = 42
Y = 42 / 2 = 21,
Therefore, Y = 21 [Small number].
According to equation 1,
X +Y = 53
X + 21 = 53
X = 53 - 21 = 32.
Therefore, X = 32 [Big number]
Explain how to graph the point (-4, 6)
Answer:
four spaces to the left, and 6 spaces up.
Complete the equivalent equation for –7x – 60 = x2 10x. (x )(x ) = 0 what are the solutions of –7x – 60 = x2 10x? x =
Answer:
(x + 5)(x + 12) = 0
What are the solutions?
x = -12 or -5
Step-by-step explanation:
Hope it helps! :D
Answer:
(x + 5)(x + 12) = 0
and
x = -12 or -5
Step-by-step explanation:
...................................................................
Answer:
b=2 and c=6
Step-by-step explanation:
According to the question,
a+b=c
Let b=2 and c =6 then, we get,
4+2=6
or, 6=6
proved
Rebecca bought 6 boys' bicycles and 8 girls' bicycles. If it takes her 22 minutes to unpack and assemble each one, how long will it be before they are all assembled?
Answer:
308 minutes or 5 hours and 8 minutes
Step-by-step explanation:
First, let's add the bicycles of both boys and girls together:
6 + 8 = 14
Now, let's multiply that number by 22 since she will have to assemble all of those bicycles and it will take 22 minutes for each:
22 x 14 = 308
It will take a total of 308 minutes or 5 hours and 8 minutes to assemble all of those bicycles.
Are these ratios equivalent? 4:5 12:20
Answer:
No
Step-by-step explanation:
[tex]\dfrac{12}{20} =\dfrac{3 \times 4}{4 \times 5}= \dfrac 35\neq \dfrac 45[/tex]
an electrician completes 1/6 of a job in 2/3 hour. at this rate, how long does it take the electrician to complete the job?
PLEASE HELP!!!! IM GONNA GET IN TROUBLE
Answer:
4 hours.
Step-by-step explanation:
2/3 * 6
= 12/3
= 4 hours.
Answer:
4
Step-by-step explanation:
1/6 x 2/3(flip 1/6 to 6/1 so its easier to calculate; they mean the same thing)6/1 x 2/3 = 12/33 x 12 = 4Hope this helps <3
try to stay out of trouble lol
13) Which expression is equivalent to 2(5 – 3x)?
-
A) 10 - 5x
B) 10 - 6x
-
07 - 5x
D) 7 6x
Answer:
B
Step-by-step explanation:
you need to distribute the 2
this leads to (2*5)- (2*3x)
=10-6x !
100 POINTS BRSAINLIEST ASAP 2 MINUTES LEFT
Answer: 12
Step-by-step explanation:
[tex]\mathrm{The\:mode\:is\:the\:term\:in\:the\:data\:set\:that\:appears\:the\:most.}[/tex]
[tex]\mathrm{If\:there\:is\:more\:than\:one\:term\:that\:appears\:the\:most,\:then\:there\:is\:no\:mode.}[/tex]
[tex]\mathrm{Count\:the\:number\:of\:times\:each\:element\:appears\:in\:the\:list}[/tex]
[tex]\begin{pmatrix}11&13&14&12\\ 1&2&2&3\end{pmatrix}[/tex]
[tex]\mathrm{The\:most\:common\:element\:in\:the\:list\:is\:12}[/tex]
Answer:
I'm sure It's 12
Step-by-step explanation:
To find the mode, order the numbers lowest to highest and see which number appears the most often.
11, 12, 12, 12, 13, 13, 14, 14
11=1
12=3 is the most common element
13=2
14=2
Selina is picking strawberries. She is using 5 boxes to hold them all. Each box has a width of 6 in, a height of 3 in, and a length of 4 in. What is the total volume of all 5 boxes? Explain how to solve this problem.
The volume of a cuboid is the product of its length, width, and height. The total volume with Selina is 360 in³.
What is the volume of a cuboid?The volume of a cuboid is the product of its length, width, and height. It is represented as,
[tex]\rm \text{Volume of Cuboid} = (Length \times Width \times Height)\ unit^3[/tex]
The volume of each of the boxes with a width of 6 in, a height of 3 in, and a length of 4 in, can be written as,
[tex]\rm \text{Volume of a single Box} = 6\ in \times 3\ in \times 4\ in = 72\ in^3[/tex]
Now, the total number of boxes Selina has is 5, therefore, the total volume with Selina can be written as,
[tex]\rm \text{Total\ Volume} = \text{Volume of a single box} \times 5 = 72\ in^3 \times 5 = 360\ in^3[/tex]
Hence, the total volume with Selina is 360 in³.
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11 is a quotient of a number y and 6
Answer:
y = 66
Step-by-step explanation:
"11 is a quotient of a numer y and 6" can be re-written as:
y/6 = 11
To solve, multiply both sides by 6.
y = 66.