To find the perimeter
we will find the distants between the points
Let point A = (3, 4) point B = (8, 7) point C = (5, 0)
using the distance formula,
\(|d|=\sqrt[]{(x_2-x_1)^2+(y_2-y_{1_{}}})^2\)Distance AB
A (3, 4) point B (8, 7)
x₁ = 3 y₁ = 4 x₂= 8 y₂=7
substitute the values into the formula;
\(|AB|\text{ =}\sqrt[]{(8-3)^2+(7-4)^2}\)simplify
\(|AB|=\sqrt[]{5^2+3^2}\)\(=\sqrt[]{25\text{ + 9}}=\sqrt[]{34}\text{ }\approx5.83\)Next. we will find the distance BC
B (8, 7) C (5, 0)
x₁ = 8 y₁ = 7 x₂= 5 y₂=0
substitute into the formula and then evaluate
\(|BC|=\sqrt[]{(0-7)^2+(5-8)^2}\)\(=\sqrt[]{(-7)^2+(-3)^2}\)\(=\sqrt[]{49\text{ + 9}}=\sqrt[]{58}\approx7.62\)we will now move to find distance CA
(5, 0) (3,4)
x₁ = 5 y₁ = 0 x₂= 3 y₂=4
substitute int the formula and then simplify
\(|CA|\text{ =}\sqrt[]{(3-5)^2+(4-0)^2}\)\(=\sqrt[]{(-2)^2+4^2}\)\(=\sqrt[]{4+16}=\sqrt[]{20}=4.47\)Perimeter = |AB| + |BC| + |CA|
=5.83 + 7.62 + 4.47
=17.92
Please help I’ll mark you as brainliest if correct!
Answer:
30
Step-by-step explanation:
Audrey reads 15 pages a day, and she read 75 pages total. If we divide 75/15, this should show us the amount of days she read. 75/15 is 5, so Audrey(and Lauren) read 5 days
Lauren reads 6 pages a day, and since she read for 5 days, 6x5 is the amount of pages she read in total. 6x5=30, so the answer is 30
What is mathematics. why is it important?
Mathematics provides a framework for developing critical thinking, problem-solving, and analytical skills that are valuable in many aspects of life.
What is mathematics?
Mathematics is a fundamental discipline that plays a crucial role in our daily lives and in shaping our understanding of the world.
Mathematics is a field of study that deals with the properties and relationships of numbers, quantities, shapes, and patterns. It involves using logical reasoning, abstraction, and symbolic manipulation to understand and solve problems related to these concepts.
Mathematics is important for many reasons. First and foremost, it is a fundamental tool for understanding and describing the world around us. It plays a crucial role in science, technology, engineering, economics, finance, and many other fields by providing tools for modeling and analyzing complex phenomena.
Mathematics is also essential for making accurate predictions and decisions based on data and evidence, as well as for designing and optimizing systems and processes.
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PLEASE HELP ME RIGHT NOW ASAP
Answer:
Step-by-step explanation:
Let's just say this circle has value x.
x increases by 5%, or 0.05 of x.
x + 0.05x = 1.05x
1.05x now increases by 5% again:
1.05x + 0.05(1.05x) = 1.1025x
The total increase is equal to (1.1025-1)*100 = 10.25%
Hope this helps!
The temperature was -10F when Mary went to school on Tuesday. The temperature rose 25F during the day, but fell 30F
during the night. What was the temperature the next morning? Explain your answer.
Answer:
-15F
Step-by-step explanation:
-10 + 25 - 30
= 15 - 30
= -15
A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $1,413.10, and the tax rate in the area is 8.7%, what was the pre-tax subtotal?
Answer:
The pre-tax amount was $1300.
Step-by-step explanation:
Given that:
After-tax total = $1413.10
Tax rate in the area = 8.7%
The pre-tax price would be 100% and this tax rate is an addition.
Total percent = (100+8.7)% = 108.7%
Let,
x be the pre-tax amount.
108.7% of x = 1413.10
\(\frac{108.7}{100}x=1413.10\\1.087x = 1413.10\)
Dividing both sides by 1.087
\(\frac{1.087x}{1.087}=\frac{1413.10}{1.087}\\x= 1300\)
Hence,
The pre-tax amount was $1300.
Let f(x) = 2x2 + x − 3 and g(x) = x + 2.
Find (f • g)(x)
Answer:
\((f\cdot g)(x) = 2x^3 + 5x^2-x-6\)
Step-by-step explanation:
We are given the two functions:
\(f(x)=2x^2+x-3\text{ and } g(x)=x+2\)
And we want to find:
\((f \cdot g)(x)\)
Recall that this is equivalent to:
\(=f(x)\cdot g(x)\)
Substitute. Hence:
\((f\cdot g)(x)= (2x^2+x-3)(x+2)\)
Expand if desired:
\(\displaystyle = x(2x^2+x-3)+2(2x^2+x-3) \\ \\ = (2x^3+x^2-3x)+(4x^2+2x-6) \\ \\\ = 2x^3 + 5x^2-x-6\)
Answer:
2x^3+5x^2-x-6
Step-by-step explanation:
f(x) = 2x^2 + x − 3 and g(x) = x + 2.
(f • g)(x) = (2x^2 + x − 3 ) * (x + 2)
Distribute
= (2x^2 + x − 3 )*x + (2x^2 + x − 3 )*2
= 2x^3 +x^2 -3x + 4x^2 +2x -6
Combine like terms
=2x^3+5x^2-x-6
Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa
how many cups of milk is that
how many cups of cocoa is that
Han produced hot chocolate by combining 6 tablespoons of cocoa with 4 cups of milk. For every spoonful of cocoa, 0.67 glasses of milk are required.
The relationship between two values is described by a ratio. It displays how frequently one value appears in another. The answer to this question will depend on how many cups of milk there are to every tablespoon of chocolate.
Divide the provided cups of coffee by the cost of the tablespoon of coffee to get the required quantity of milk per tablespoon of chocolate.
Cups per tablespoon of coffee equal cups of milk divided by tablespoons of cocoa.
Given that,
Number of cups of milk = 4
Tablespoons of cocoa = 6
4/6=0.67 cups
Therefore, for every spoonful of cocoa, 0.67 glasses of milk are required.
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Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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ayoo someone help its kinda ✨confusing✨
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
i hope it help
Answer:It’s 6 ... 6/7-3/8=27/56
Hope these helps!!! :)
Step-by-step explanation:
a windshield wiper blade is 17 in Long. Calculate the area come by the blade as it rotates through an angle of 138 degrees.
Answer: 348 in²
Step-by-step explanation:
Area of a circle is πr². Area of a sector is the same formula but only for the section so you need to determine what fraction of the circle it is. You do this by dividing by 360° if degrees are provided or by 2π if radians are given.
\(A=\pi r^2 \bigg(\dfrac{\theta}{360^o}\bigg)\)
Given: r = 17
Ф = 138°
\(A=\pi(17)^2\bigg(\dfrac{138^o}{360^o}\bigg)\\\\\\.\quad =289\pi \bigg(\dfrac{23}{60}\bigg)\\\\\\.\quad =\dfrac{6647\pi}{60}\pi\\\\\\.\quad =347.9\ in^2\)
This is soo hard can someone please help
What is the distance between the points (15,17) and (15,-4) in the coordinate plane?
A.
21 units
B.
10.5 units
C.
13 units
D.
2 units
Answer:
21
Step-by-step explanation:
15-15=0
17-(-4)=21
sqrt(0^2+21^2)=21
if a plane intersects two parallel planes, then the intersection is what?
Answer:
two parallel lines
Step-by-step explanation:
The intersection of distinct planes is always a line.
Parallel planesWhen a plane intersects parallel planes, the intersection with each is a line. Both lines will lie in the intersecting plane, and will remain separated by the separation between the planes.
That is, the lines of intersection will be two parallel lines.
find the inverse of each function
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
What proportion could you use to
find the value of x?
Answer:
short leg : long leg
x : 11 = 3 : x
Step-by-step explanation:
short leg : long leg
x : 11 = 3 : x
\(\implies \sf \dfrac{x}{11}=\dfrac{3}{x}\)
\(\implies \sf x^2=33\)
\(\implies \sf x=\sqrt{33}\)
Answer:
3/x=x/11
Step-by-step explanation:
If the correlation between two variables is close to 1.0, can we conclude that the explanatory variable causes changes in the response variable even when the study is observational?
If the correlation between two variables is close to 1.0, we cannot conclude that the explanatory variable causes changes in the response variable when the study is observational.
What is correlation coefficient?The correlation coefficient, a statistical idea, helps establish a connection between anticipated and actual values discovered through statistical experimentation. How well the expected and actual values match is indicated by the estimated correlation coefficient's value.
In statistics, two variables are said to be causally related if the occurrence of one variable affects or changes the other variable. In this instance, one variable is the cause and the other is the effect.
If the values of the two variables are correlated, meaning that as the value of one changes, the value of the other one does too (although it may be in the opposite direction).
Therefore, since the study is observational, we cannot draw the conclusion that the explanatory variable influences changes in the response variable.
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The combined amount of ingredients are sugar, brown and white 8 cups, write an addition equation to solve how many cups of brown sugar was added if the chef used 4 cups of sugar
Answer: Yo MAMA + Yo nasty daddy = them having a mistake which is you lol
Step-by-step explanation:
For the function f(x) = 5x - 7 answer the following questions:
1. Is the function increasing or decreasing?
2. What is the y-intercept?
3. What is the slope?
4. What is f(-2)?
5. If f(x) = 0, what is x?
Answer:
See below
Step-by-step explanation:
Given function f(x) = 5x - 7Another notation for same function is
y = 5x - 7, where 5 is the slope and -7 is the y-interceptQuestions1. Is the function increasing or decreasing?
Increasing as x has positive slope2. What is the y-intercept?
y- intercept is -73. What is the slope?
The slope is 54. What is f(-2)?
f(-2) = 5(-2) - 7 = - 10 - 7 = -175. If f(x) = 0, what is x?
f(x) = 00 = 5x - 75x = 7x = 7/5x = 1.4Answer:
It is increasing x has a positive slope as seen in the graph above y intercept is= - 7Solving step
\(f(x) = 5x - 7\)
Substitute x=0
\(f(0) = 5 \times 0 - 7\)
Calculate the product
\(f(0) = (0) - 7\)
When adding or Subtracting 0 the quantity does not change
\(f(0) = - 7\)
GSlope is =5 ⚄ ?\(f(x) = 0\)
\(0 = 5x - 7\)
\(5x = 0\)
\(x = \frac{7}{5} \)
OR
\(x = 1.4\)
Which one is it? I really need help.
Answer:
-144ft below sea level
Step-by-step explanation:
It is a linear equation. Written as y=14x-270. So what you do is substitute x for 9,
y=14(9)-270
y=126-270
y=-144
Answer:
I think the answer is A. The submarine was 144 feet below sea level(-144) after 9 minutes.
Step-by-step explanation:
This is how i got me answer:
z=9
14 x 9 = 126
-270 + 126 = -144
Which is equivalent to 80 Superscript one-fourth x? (StartFraction 80 Over 4 EndFraction) Superscript x RootIndex 4 StartRoot 80 EndRoot Superscript x RootIndex x StartRoot 80 EndRoot Superscript 4 (StartFraction 80 Over x EndFraction) Superscript 4
whoever can answer this gets brainliest
The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)
How to calculate the valueTo determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:
\(80/4^{x}\)
This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.
Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.
\(80/x^{4}\)
This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.
Therefore, the expression that is option d.
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There was 1/2. Of a cake left over from Hannah’s birthday party when she and her sister came home from school the next day they ate 2/3 of the left over cake for a snak. How much of the whole cake did the girls eat
Answer:
1/3
Step-by-step explanation:
This problem would be 1/2 x 2/3. The answer would be 1x2 over 2x3.
help me plsss <333333333333 and tyyyyyy <33333 :)
Value of variable x in the equation is 2.
Define equationIn mathematics, an equation is a statement that two expressions are equivalent. It comprises of two sides with a phrase on each, usually divided by an equal symbol (=). An equation declares that for some or all of the values of the variables in the equation, the two expressions have the same value. Equations can include one or more variables and can be either linear or nonlinear. Finding the values of the variables that make the equation true is the first step in solving an equation.
Given equation
3(x+6)=24
Dividing the terms by 3, we get
x+6=8
x=8-6
x=2
Hence, value of variable x in the equation is 2.
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Need help please thanks
Answer:
6.
Just count the x's on the graph...
help me please i really need help
Answer:
8
Step-by-step explanation:
Since the sides are congruent, the angles are as well. So if you draw point W along line RT, then the angle W and S are the same, so the length is also the same, which is 8.
please hit the heart button :)
Answer:
6
Step-by-step explanation:
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
The dimensions of a picture frame can be represented as (x+4) inches and (x+3) inches. The value of the area, in square inches, of the picture frame is equal to the value of the perimeter, in inches
The wrist circumference in relation to height tells us how big our body frames are.
How is frame size calculated?The wrist circumference in relation to height tells us how big our body frames are. A man who is above 5' 5" tall and with a wrist measurement of 6" would be considered to have tiny bones.
The following chart can be used to establish whether a person has tiny, medium, or large bones by measuring their wrist with a measuring tape and comparing the results.
Women:
under 5'2" in height"
Medium wrist size is between5.5" and5.75" Small wrist size is less than5.5" "
Large is defined as a wrist size of 5.75 or greater."
between 5'2" and 5'5" tall
smaller than 6 inches around the wrist"
Bracelet size 6 is medium "Medium = wrist size between 6.25" and 6.5" Large
Over 5' 5" in height"
Small wrists measure less than 6.25", Medium wrists measure 6.25" to 6.5," and Large wrists measure over 6.5."
Example :
2(x + 3 ) + 2 (x + 4 ) = (x + 3 )( x + 4)
x² + 7x + 12 = 4x + 14
x² + 3x - 2 = 0
(x + 3 / 2 )² = 17 / 4.
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if there are 60 houses and every house have one kid and there's 30 parts how much kids will have to go to each Park
Answer:
2 parks
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
There would be 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
Each grid square is 1 square unit. Find the area, in square units, of the shaded region without counting every square. Be prepared to explain your reasoning.
Answer:
The area of the shaded region is 27 units^2.
Step-by-step explanation:
Area of outer square = 6^2 = 36 units^2
Area of inner square = 3^2 = 9 units^2
Area of shaded region
= 36 units^2 - 9 units^2 = 27 units^2
The area of a shaded region in a unit grid can be found either by subtracting the area of unshaded regions from the total grid area or by adding up the areas of identifiable shapes within the shaded region.
Explanation:To find the area of the shaded region without counting every square, you can use a few different strategies, such as identifying and subtracting the area of unshaded regions from the total grid area, or recognizing and adding together larger, easily countable shapes within the shaded region.
For example, if your grid is 10x10 units, the total area would be 100 square units. If, within that grid, there are 20 unshaded squares, you can subtract this from the total area to find the area of the shaded region. So, 100 total square units - 20 unshaded square units = 80 shaded square units. This approach works best when the number of unshaded squares is relatively small or easily countable.
Alternatively, if the shaded region forms easily identifiable shapes (like a 5x5 square or a 3x10 rectangle), you can add the areas of these shapes together to get the total shaded area. This approach works best when the shaded region forms a few large, simple shapes.
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What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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5 (a) Write the ratio 15:35 in its simplest form.
Answer:
Step-by-step explanation:
5 is a factor of 15 and 35
15:35 = 3:7