Answer:
Area = 42.43 square cm
Step-by-step explanation:
Using Heron's Formula :
[tex]Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where \ s \ =\ \frac{a+ b+ c}{2}[/tex]
Find Area :
[tex]s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15[/tex]
[tex]Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\[/tex]
[tex]= \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}[/tex]
[tex]= 42 . 43 \ cm^2[/tex]
Toni goes to a department store and buys two shirts marked the same price. She pays full price for the first shirt but gets a 40% discount on the second shirt. If she pays a total of $32.40 for the two shirts, how much did she pay for the second shirt? -Please give a real answer
Answe$12.15
Step-by-step explanation:
She paid 60% of the price...
x + .6x = 32.40
1.6x = 32.40
x=20.25
20.25 * .60 = 12.15
"4 + 3" is an example of a(n) ___
Answer:
Additive property of association?
You did not specify what kind of answer you are looking for.
You could just be looking for something like "addition problem" or "polynomials" or anything.
I will edit or comment an answer if this gets editted with a bit more specification. :D
Step-by-step explanation:
Which of the following is the equation of a line that passes though the points (2,5) and (4,3)
Answer:
y= -1x+7
or
y = -1x + b
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(2,5) and (4,3).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,5), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=5.
Also, let's call the second point you gave, (4,3), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=3.
Now, just plug the numbers into the formula for m above, like this:
m=
3 - 5
4 - 2
or...
m=
-2
2
or...
m=-1
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=-1x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(2,5). When x of the line is 2, y of the line must be 5.
(4,3). When x of the line is 4, y of the line must be 3.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=-1x+b. b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,5) and (4,3).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(2,5). y=mx+b or 5=-1 × 2+b, or solving for b: b=5-(-1)(2). b=7.
(4,3). y=mx+b or 3=-1 × 4+b, or solving for b: b=3-(-1)(4). b=7.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(2,5) and (4,3)
is
y=-1x+7
You bought 6 bars of home made soap from eBay, and weighed them on an electronic scale. They weighed 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces. What is the average weight of the bars? *DON'T ROUND*
1. 4.010 ounces.
2. 4.007 ounces.
3. 24.042 ounces.
The average weight of the soap bars is 4.007 ounces. Therefore, option 2 is the correct answer.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, the weight of 6 home made soaps are 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces.
We know that, average = Sum of all the observations/Number of observations
Here, the average = (4.003+4.006+4.012+4.008+4.004+4.009)/6
= 24.042/6
= 4.007 ounces
Therefore, option 2 is the correct answer.
To learn more about an average visit:
https://brainly.com/question/11195029.
#SPJ3
a trapezoid has parallel sides of length 26 mm and 44 mm. its other sides measure 10 mm and 17 mm. what is the length of the bimedian joining the two non parallel sides?
Answer:
35 mm.
Step-by-step explanation:
That would be (26 + 44)/2
= 70/2
= 35 mm.
Evaluate 2(x+ 1 - 3 when x = 6 O Ο Α. 11 OB. 5 O C. 8 ( D. 10
whoever answers this first will get 25 points
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:11}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex]2 \: ( \: x + 1 \: ) - 3[/tex]
Plugging in the value "[tex]x\:=\:6[/tex]" in the above expression, we have
[tex] = 2 \: ( \: 6 + 1 \: ) - 3[/tex]
[tex] = 2 \: ( \: 7 \: ) - 3[/tex]
[tex] = 14 - 3[/tex]
[tex] = 11[/tex]
Note:-[tex]\sf\red{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Determine f(a+h)-f(a)/h for f(x)=x^2+5x
Answer:
2x + 5
ok.. slightly silly question...
you will eventually learn that this formula is the
formula for the "derivative" in calculus....
A[tex]x^{b}[/tex] becomes (a*b) [tex]x^{b-1}[/tex]
2x + 5
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
Answer:
22.18 = x
Step-by-step explanation:
a^2 + (b)^2 = (x/2)^2
a = sqrt(74)
b = 7
x/2 = ?
(74)[^1/2]^2 = 74
b^2 = 7^2 = 49
74 + 49 = (x/2)^2 Substitute into a^2 + b^2 = c^2
123 = (x/2)^2 Combine like terms
(123^0.5) = x/2 Take the square root of both sides.
11.09 = x/2 Multiply both sides by 2
11.09*2 = x
22.18 = x The full length of the base of the triangle is 22.18
Answer: C
Step-by-step explanation: We only need to find the value of one of the x so just use Pythagorean theorem but simplified to do it in one step which is sqrt(4^2+6^2) which gives us sqrt(52).
Find the value of x segment addition
Answer:
6
Step-by-step explanation:
4+x-3=2x-5
1+x=2×-5
2x-x=6
x=6
A number is divided in the ratio 7 : 5. if the second part is 150, find the number . ((answer with solution and explaination ))
Answer:
1500 because if you mutiply by 35 u will get it
Step-by-step explanation:
Answer:
ratio of required answer
7×(:)5×also given
=)5×=150×=¹⁵⁰=305
now putting the value of × in another give
Required mum
7x+5x
12x
2(30)=360Step-by-step explanation:
HOPE IT'S HELP
Which of the following statements are true?
Answer:
I am not 100% sure but like 75 % sure its A,c , and e
Step-by-step explanation:
the difference between 8 times a number and 3 is equal to -19 what's the number
Answer:
-2
Step-by-step explanation:
x = the number
difference refers to subtraction
(8*x) - 3 = -19
8x - 3 = -19
+ 3 + 3
8x = -16
/ 8 /8
x = -2
Hope that helps!
Answer:
- 2
Step-by-step explanation:
let the number be n , then
8n - 3 = - 19 ( add 3 to both sides )
8n = - 16 ( divide both sides by 8 )
n = - 2
The number is - 2
What is the height of the tower? Round to the nearest tenth.
How tall is the tower?
Step-by-step explanation:
call the height of the tower x
we have tan30°=x:200 so we can find x
help please, 17 points for this question
Answer:
24 and 15
Step-by-step explanation:
Answer:
it is not 17 points for this question it is 9 points.
Solve the system by substitution.
y = -5x
y= -7x – 14
Answer:
x = -7 y = 35
Step-by-step explanation:
-5x = -7x - 14
2x = -14
x = -7
y = -5(-7)
y = 35
6ײ+3×y-2a×-ay (need answers)
Answer:
(If the x means the variable in your equation) 2a^2y+6x^2+3xy
Step-by-step explanation:
We have to simplify the equation to find the answer
6x^2+3xy−2a(−a)y
=6x^2+3xy+2a^2y
encontrar la x y explicar el resultado
[tex]\sqrt{2x+6} = 2[/tex]
Please solve 5 and 6 only
Answer:
5. 80%
6.1.05 kilograms
Step-by-step explanation:
5. Plugging in the values into the formula, we get:
% difference = |60000 - 140000(60000 + 140000)/2| × 100% =
|60000-140000200000 / 2| × 100% =
|-80000100000| × 100% =
80000100000 × 100% =
0.8 × 100% =
80%
If this helps you, please mark brainliest!
Have a nice day!
The initial temperature of a solution was 16°C. The temperature dropped 3°C every minute. What was the temperature of the water after 15 minutes in °C?
Answer:
1 degree c
Step-by-step explanation:
습
John spends $94 to buy packages of cleaning supplies for a camp. He buys t packages of
towels, each package is $6 and contains 8 towels. He also buys s packages of soap; each
package is $4 and contains 10 bars of soap. John buys 20 packages of cleaning supplies
altogether. Write a system of equations to represent the packages of cleaning supplies John
buys
Answer:
B
Step-by-step explanation:
step
A number x cubed is six
Answer:
x = 1.817
Step-by-step explanation:
[tex]x^3 = 6\\\sqrt[3]{x} = \sqrt[3]{6} \\x = 1.817[/tex]
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
2 similar triangles. Triangle 1 has side lengths 16, 24, blank. Triangle 2 has side lengths 12, 18, blank.
a.
StartFraction 12 Over 24 EndFraction = StartFraction 18 Over 16 EndFraction = StartFraction 1 Over 2 EndFraction
b.
StartFraction 12 Over 18 EndFraction = StartFraction 16 Over 24 EndFraction = StartFraction 2 Over 3 EndFraction
c.
StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction
d.
StartFraction 18 Over 12 EndFraction = StartFraction 24 Over 16 EndFraction = StartFraction 3 Over 2 EndFraction
Please select the best answer from the choices provided
A
B
C
D
Answer:
the correct answer is
C.
StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction
can someone please help
Answer:
x = 13
Step-by-step explanation:
→ Remember the amount of degrees a triangle sums to
180°
→ Make an equation
8x - 44 + 8x - 44 + 8x - 44 = 180
→ Simplify
24x - 132 = 180
→ Add 132 to both sides
24x = 312
→ Divide both sides by 24
x = 13
28. The edges of a cube are all increased by
10%. What is the percentage increase in the
volume?
Answer:
Percentage increase in volume will be
33.1
%
Step-by-step explanation:
Let the each edge of cube be
100
units.
Then its volume is
100
3
=
1000000
cubic units.
If each edge increases by
10
%
it becomes
110
units
and volume becomes
110
3
=
1331000
cubic units
Therefore increase in volume is
1331000
−
1000000
=
331000
cubic units
and percentage increase in volume is
331000
1000000
×
100
%
=
331
10
%
=
33.1
%
Mike and his dad are retiling his bathroom floor. They have budgeted $200 for the tiles and supplies. The tiles cost $1.85 each and they have spent $114.90 on supplies. Write an equation and solve the equation.
Answer:
Equation: $114.90 + $1.85x = 200
Solution: They can buy 46 tiles.
Step-by-step explanation:
First, subtract 114.90 from both sides to get 1.85x = 85.10.
Divide 85.10 by 1.85 to get 46, which is the answer.
15 points please explain it to me add the answer and the work since I’m so confused on when to subtract missing lengths where and when
You didn't specify what the question was. However, I am going to assume you are looking for the missing side of the shape.
Let's call the left side "Side A" and the right side "Side B". One is longer than the other side. In this case, Side B is longer than Side A. To find the missing length, you will need to subtract Side A from Side B
Side B - Side A = Missing side
16 - 13 = 3
Therefore, the length of the missing side is 3.
What’s the length of AB?
-12 UNITS
-6 UNITS
-10 UNITS
-14 UNITS
Answer:
the answer would be ten units
Step-by-step explanation:
use the Pythagorean theorem
A^2 + b^2 = C^2
8^2 + +6^2 = 10^2
Which of the following describes point H?
help----------------------------
Answer:
One solution;
[tex]x=-1\frac{2}{7}[/tex]
[tex]y=-5\frac{3}{7}[/tex]
Step-by-step explanation:
The method of elimination is a way of solving a system of equations. There are many steps involved in this process. First, one must manipulate one of the equations in the system by multiplying each term in it by a certain number such that one of the variables is the inverse of the other like the variable in the other equation. Then one must add the two equations. This will eliminate one of the variables in the equations. After doing so, one has to use inverse operations to solve for the other variable. Finally, one will back solve, substitute the value of the solved variable into one of the equations and solve for the remaining unknown variable.
[tex]\left \{ {{y=5x+1} \atop {y=-2x-8}} \right.[/tex]
Manipulate the system;
[tex]\left \{ {{y=5x+1*(-1)} \atop {y=-2x-8}} \right.[/tex]
Simplify,
[tex]\left \{ {{-y=-5x-1} \atop {y=-2x-8}} \right.[/tex]
Add the equations,
[tex]\left \{ {{-y=-5x-1} \atop {y=-2x-8}} \right.[/tex]
[tex]0=-7x-9[/tex]
Inverse operations,
[tex]0=-7x-9[/tex]
[tex]7x=-9[/tex]
[tex]x=-\frac{9}{7}[/tex]
[tex]x=-1\frac{2}{7}[/tex]
Backsolve,
[tex]y=-2x-8[/tex]
Substitute
[tex]y=-2(-\frac{9}{7})-8[/tex]
Simplify,
[tex]y=-2(-\frac{9}{7})-8[/tex]
[tex]y=\frac{18}{7}-8[/tex]
[tex]y=\frac{18}{7}-8\\y=-\frac{38}{7}[/tex]
[tex]y=-5\frac{3}{7}[/tex]
Which list of numbers can be described by the following rule?
A. 33,49,67
B.65,49,33
C.33,49,65
D.65,48,33
Explanation:
first term = 33
second term = first term + 16 = 33+16 = 49
third term = second term + 16 = 49+16 = 65
We're adding 16 to each term to get the next term.
Answer:
c is correct
mark as brainiest please