triangle: 3x-1,4x+1,3x
perimeter:70cm
area:A2
find A

Answers

Answer 1

Answer:

A = 210 cm²

Step-by-step explanation:

Perimeter of the triangle = the sum of the sides of the triangle.

70 = (3x - 1) + (4x + 1) + (3x)

70 = 10x  

7 = x     The length of the sides of the triangle are 3x - 1 = 20;  4x + 1 = 29 and                

             3x = 21.

 Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.

Trying a² + b² = c² to see if it is a right triangle.   20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21.   The longest side is the hypotenuse in a right triangle

A = 1/2bh

A = 1/2 (20)(21)

A = 10 · 21

A = 210 cm²


Related Questions

The diameter of Mercury is approximately4.9×103 kilometers. The diameter of Saturn is approximately 1.2×105 kilometers. About how many times greater is the diameter of Saturn than the diameter of Mercury?

Answers

Answer: 378.7 kilometers (maybe, I am not sure)

Mercury: 4.9 * 103 = 504.7 kilometers

Saturn: 1.2 * 105 = 126 kilometers.

Why on earth is Mercury's diameter greater than Saturn's -

504.7 - 126 = 378.7 kilometers

what is the meaning of the word treacherous mean in the sentence below

QUICK plzzzz
i-ready lvl F

Answers

Answer: Guilty of or involving betrayal or deception.

Step-by-step explanation:

Given that Ax - 4x² + 3x² + 4 = (x² - 2x + 1)(2x² + B) + C(x-1) + D for all values of x, evaluate A, B, C and D. Hence, deduce the remainder when Ar-4x+3x²+4 is divided by 2x² + B.

Answers

SANA MAKATULONG

#CARRYONLEARNING

Adam works for an agency.

His normal hourly rate is £8.32

The agency asks Adam to work 6 hours for a new company.

Adam will be paid time and a third of his normal hourly rate.

How much will Adam get paid in total when working for the new company

Answers

Hi there! I am here to help you with your question.

Adam normally earns 8.32 an hour. To get your answer, please follow my steps.

1. 8.32 * 6 (how much he has to work for).

Despite the two decimal places, we can ignore them and complete the process normally.

8 3 2
6
——————-
4 9 9 2

2. Add your decimals in the correct places aka 49.92!

3. Multiply 49.92 * 1/3 (a third) and you will get your answer: 16.64.

Hope this helped!

Adam receives 13.762 euros

What is division?

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Given

Adam normally earns 8.32 an hour.

1. 832 * 6 = 10.992 for 6 hours

Adam will be payed = 8.32 *1/3 = 2.77

Total payment = 10.992 + 2.77 = 13.762

To learn more about division refer to:

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Write a system of linear inequalities represented by the graph.



Inequality 1:

Inequality 2:

Answers

The system of linear inequalities represented by the graph is 2 < x < 3.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The dotted lines represents strictly less than or greater than inequalities.

Inequality 1 represents x > 2 and inequality 2 represents x < 3.

The combined inequality can be represented as 2 < x < 3.

learn more about inequalities here :

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In the summer reading program, a participant earns 50 stars for reading 10 books. The library tracks the number of stars(y, vertical axis) and books ( x, horizontal axis) on a graph. Which statements are correct.

A: Point(5,1) Represents the unit rate
B: Point(1,5) Represents the unit rate
C: Point(0,50) Represents the unit rate
D: Point(100,20) Represents reading 20 books
E: Point(20,100)Represents reading 20 books


Please help, I will give you the brainliest answer​

Answers

Answer:

C: Point(0,50) Represents the unit rate

Step-by-step explanation:

Write an expression that is equivalent to 4(x + 1) - 7 (x + 3)

Answers

Answer:

-3x-17

Step-by-step explanation:

We need to expand this term by multiplying a term and an expression.

The following product distributive property will be used:

.

In our example, the resulting expression will consist of 2 terms:

  the first term is a product of  and .

  the second term is a product of  and .

Answer:-3x - 17Step-by-step explanation:4(x + 1) - 7(x + 3)=> 4x + 4 - 7x - 21=> -3x - 17Conclusion:

Therefore, one expression that is equivalent to 4(x + 1) - 7(x + 3) is -3x - 17.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Plz, Help Me Quickly!!
I will mark Brainliest for the best answer.

Answers

Answer:

help you with what

Step-by-step explanation:

What is the problem?

what are some expressions that are equivalent to

2(5n).

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\text{Gu\textbf{id}\textsf{e}}\bf\downarrow[/tex]

[tex]\large\textbf{2 negatives = positive}\\\large\textbf{2 positives = positive}\\\large\textbf{1 negative \& 1 positive = negative}\\\large\textbf{1 positive \& 1 negative = negative}\\\\\large\text{Negatives are BELOW 0}\\\large\text{Positives are ABOVE 0}\\\\\large\textsf{Negatives are on the LEFT side of zero.}\\\large\textsf{Positives are on the RIGHT side of zero.}[/tex]

[tex]\huge\textsf{-2(5n) \boxed{\rightarrow} \bf -10n}\\\\\\\\\huge\boxed{\rightarrow\text{-2n + (-2n) + (-2n) + (-2n) + (-2n)}}\\\huge\boxed{\rightarrow \text{\bf -2n - 2n - 2n - 2n - 2n}}\\\huge\boxed{\rightarrow{\text{-4n - 2n - 2n - 2n}}}\\\huge\boxed{\rightarrow \text{-6n - 2n - 2n}}\\\huge\boxed{\rightarrow \text{\bf -8n - 2n}}\\\huge\boxed{\rightarrow \boxed{\text{ -10n}}}[/tex]

[tex]\huge\text{\bf -5(2n)}\\\huge\boxed{\rightarrow \text{-10n}}[/tex]

[tex]\huge\boxed{\text{\bf Therefore, your answers \underline{\underline{could}} be: }}\\\huge\boxed{\bullet \textsf{ -2n - 2n - 2n - 2n -2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -8n - 2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -5(2n)}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

mr farmer rectangular land measures 2000 meters by 3000 meters. if he walks around the perimeter of his land, how far does he walk

Answers

Answer:

10000 meters

Step-by-step explanation

To find perimeter you add the length of each side of the shape. Since the land is a rectangle there are two pairs that are parrallel, being 2000 and 3000. Making the distance 2000 + 2000 + 3000+ 3000 = 10000

Hope this helps!

At the beginning of the month you have $1500 in your bank account. Each time you visit the ATM you take $60 out. What is the rate at which your balance is changing each time you visit the ATM?

Group of answer choices

$3

-$60

$60

-$63

-$1500

-$3

Answers

I think the correct answer would be -$60

when the area of a circle is increasing twice as fast as the radius, the radius is given by

Answers

Answer:

  r = 1/π

Step-by-step explanation:

The area of a circle is given by ...

  A = πr²

The rate of change of area is ...

  A' = 2πr·r'

We want that rate of change to be twice as fast as the rate of change of radius:

  2r' = 2πr·r'

  1 = πr . . . . . . divide by 2r'

  1/π = r

When the area is changing twice as fast as the radius, the radius is 1/π.

_____

Additional comment

The area and the radius have different units, so their rates of change must be compared numerically. The numerical value will depend on the units used. The radius for a circle whose area is measured in m² will be different than for one whose area is measured in ft².

For #8 and #9, fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.

9.
height = ________
b1 = 20 cm
b2 = 21 cm
area = 205 cm2

Answers

Applying the equation for the area of the trapezoid, it is found that the height is of 10 cm.

The area of a trapezoid is half the multiplication of the sum of the bases and the height, that is:

[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]

For this problem, we have that: [tex]A = 205, b_1 = 20, b_2 = 21[/tex], hence:

[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]

[tex]205 = \frac{h}{2}(20 + 21)[/tex]

[tex]20.5h = 205[/tex]

[tex]h = \frac{205}{20.5}[/tex]

[tex]h = 10[/tex]

The height is of 10 cm.

To learn more about area of a trapezoid, https://brainly.com/question/9918120

Answer:

The height of trapezoid is 10 cm.

Step-by-step explanation:

Given :

»» [tex]\rm{b_1}[/tex] = 20 cm»» [tex]\rm{b_2}[/tex] = 21 cm»» [tex]\rm{area}[/tex] = 205 cm²

To Find :

»» Height of trapezoid

Using Formula :

[tex]{\star{\small{\underline{\boxed{\sf{\red{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}}}}[/tex]

✧ [tex]\rm{b_1}[/tex] = 20 cm✧ [tex]\rm{b_2}[/tex] = 21 cm✧ [tex]\rm{area}[/tex] = 205 cm²

Solution :

Substituting all the given values in the formula to find height of trapezoid :

[tex]{\dashrightarrow{\small{\sf{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big(20 + 21\Big)h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big( \: 41 \: \Big)h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \times 41 \times h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{ 41}{2}\times h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h = 205 \times \dfrac{2}{41}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h = \cancel{205} \times \dfrac{2}{\cancel{41}}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h =5 \times 2}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h =10 \: cm}}}}[/tex]

[tex]{\star{\small{\underline{\boxed{\frak{\pink{h =10 \: cm}}}}}}}[/tex]

Hence, the height of trapezoid is 10 cm.

[tex]\rule{300}{1.5}[/tex]

The formula to convert degrees Fahrenheit to degrees Celsius is: 'C = (5/9) ('F -32). The formula to convert degrees Celsius to degrees Fahrenheit is: 'F = 1.8 ('C) + 32. Using any of these formulas, determine, for what temperature the value of it in degrees Celsius is represented by the same number as its value in degrees Fahrenheit. Show your work. HINT: use either of those two equations, use x for 'C and use x for 'F, and solve it for x. The solution will be the answer to the problem (because the temperature is the same, and its numerical value in degrees Celsius in this case is the same as its number value in degrees Fahrenheit). *

Answers

Step-by-step explanation:

5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32

5×(x - 32) = 9×9/5 × x + 32×9

5×5×(x - 32) = 9×9×x + 32×9×5

25x - 32×25 = 81x + 32×45

32×(-25 - 45) = 56x

4×(-70) = 7x

x = 4×(-10) = -40

-40° is the same temperature in Celsius and in Fahrenheit.

4 more to go-2 + (-2) × -2 + (-2) ÷ -2

Answers

Let's se

-2+(-2)(-2)+(-2)/(-2)-2+(-2)^2+1-1+21

Done!

A solid wood cone 12 cm in diameter and 8 cm high sells for $1.19. A second wood cone is 17 cm in diameter and 12 cm high. the fair price for this second cone rounded to the nearest cent, is

a) $2.53,
b) $3.58
c) $5.06
d) $10.75
e) $14.33

Answers

Answer:

Answer is a

Step-by-step explanation:

I think it's "A", im looking for answer as well :(

HELP ME PLEASE I NEED HELPP

Answers

Answer:

4500 inches, check image below

Step-by-step explanation:

Round 0.1 to the nearest whole number.

Answers

To round 0.1 to the nearest whole number consider the tenths’ value of 0.1, which is 1 and less than 5. Therefore, we have to round down: the whole number ones place value of 0.1, 0, remains 0, and the decimal point and all digits (.1) are removed.

0.1 rounded to the nearest whole number = 0

Simplify 7 1/3t−(10 2/3t−6) pls

Answers

Answer:

[tex]-\frac{10t}{3}+6[/tex]

Step-by-step explanation:

[tex]7 \frac{1}{3}t-(10 \frac{2}{3} t-6)[/tex]

Convert [tex]7\frac{1}{3}[/tex] to a mixed number

[tex]7\frac{1}{3}=\frac{7\cdot 3+1}{3}[/tex]

[tex]=\frac{22}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}[/tex]

Convert [tex]10\frac{2}{3}[/tex] into a mixed number

[tex]10\frac{2}{3}=\frac{10\cdot 3+2}{3}[/tex]

[tex]=\frac{32}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}[/tex]

[tex]=\frac{22t}{3}-\frac{32t}{3}+6[/tex]

[tex]\bold{=\frac{-10t}{3}+6}[/tex]

Terms

Follow the PEMDAS order of operation:

P = ParenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = Subtraction

You do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.

a statue of abraham lincoln casts a 9-foot shadow at the same time the white house casts 48-foot shadow . if the white house is 70 feet tall , how tall is the statue of abraham lincoln

Answers

Step-by-step explanation:

let's ignore the question, if the statue can cast an isolated shadow based on its location ...

2 objects and their shadows create 2 similar right-angled triangles.

that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.

so,

48 × f = 9

f = 9/48 = 3/16

therefore, the height of the statue is

70 × f = 70 × 3/16 = 210/16 = 13.125 ft

Which expression would be easier to simplify if you used the commutative
property to change the order of the numbers?
O A. 80 + 20 + (-17)
O B. 2/3 +(-1/3) + 1/5
O C. (–19) + (-10) + 7/8
O D. (-80) + 43+ (-120)

Answers

The answer is B because if you check it again it will be the same <3

Answer:

Step-by-step explanation:

THE ANSWER IS A.  80 + 20 + (-17)

 -453 divided by 15 = (simplest form)​

Answers

Answer:

-453/15 = -30.2

Answer:

-30.2 or -30 1/5

Step-by-step explanation:

a swimming pool is drained at a rate of 50 gallons per hour. How many pints per minute is this?

Answers

Answer:

8

Step-by-step explanation:


The total cost for attending the rodeo carnival can be found using the function f(x) = 2.25x + 18, where x is the number of food tickets purchased. If a family
purchases between 4 and 8 food tickets, what is the domain and range of this situation?

Answers

Answer:

domain is {4,5,6,7,8}, range is the other numbers in brackets

Step-by-step explanation:

Is the following statement true or false? If false, replace the bold word to make the statement
true.
A rhombus is an equiangular quadrilateral

Answers

Answer:

replace rhombus with square, or rectangle

Step-by-step explanation:

Trey will be splitting 2 3/4 pies with himself and 5 friends. how much pie will each person get?

Answers

11/20 of the pie each person
hope this helps!

Answer: 11/24

Step-by-step explanation:I turned 2 and 3/4 into an improper fraction which got me 11/4.

There are 5 friends and him so that's 6 people.

So we can't do 11/4 divided by 6 so we must put 6 over 1.

So 11/4 divided by 6/1

Then we do "Keep Change Flip"

We keep 11/4

We change the division sign to multiplication

Then we flip 6/1 to 1/6

Then the problem is re wrote as:

11/4 times 1/6

And that equals 11/24 as your answer

So each person gets 11/24 of the pies.

1. Which of the following is equivalent to x5/2?
1
(1)
5x
2
(3) Vr
2x
(2)
(4) Vx?

Answers

Given that the expression in the question is [tex]\displaystyle x^{\frac{5}{2} }[/tex], the equivalent expression

can be found using the rules of indices.

[tex]\displaystyle \underline{x^{\frac{5}{2} } \ is \ equivalent \ to \ x^2 \cdot\sqrt{x}}[/tex]

Reasons:

The given expression is [tex]\displaystyle x^{\frac{5}{2} }[/tex]

Required:

To find the equivalent expression

Solution:

According to the rules of indices, we have;

[tex]a^{n + m} = a^n \times a^m[/tex]

[tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

Therefore, the above expression can be expanded as follows;

[tex]\displaystyle x^{\frac{5}{2} } = x ^{2.5} = \mathbf{x^{2 + 0.5}}[/tex]

[tex]\displaystyle x^{2 + 0.5} =\mathbf{ x^2 \times x^{0.5}}[/tex]

Which gives;

[tex]\displaystyle x^2 \times x^{0.5} = \mathbf{x^2 \times \sqrt{x}}[/tex]

Therefore;

[tex]\displaystyle x^{\frac{5}{2} } \equiv x^2 \cdot\sqrt{x}[/tex], which is the form [tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

[tex]\underline{An \ expression \ \mathbf{equivalent} \ to \ x^\frac{5}{2} \ is \ x^2 \cdot \sqrt{x}}[/tex]

Learn more about the rules of indices here:

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Help please and thank you

Answers

Answer:

  (a) P = 3000·1.15^t

  (b) 12,137

Step-by-step explanation:

(a)

The equation gets filled in so it looks like ...

  P = (initial amount) × (1 +growth rate)^t

where t is in units compatible with the growth rate.

  P = 3000·1.15^t

__

(b)

Midnight is 10 hours later than 2 p.m., so the quantity will be ...

  P = 3000·1.15^10 ≈ 3000·4.045558 ≈ 12,137

There will be 12,137 bacteria at midnight.

Which rule describes the composition of
transformations that maps AABC to AA"B"C"?
R0, 9000rx-axis(x, y)
Orx-axis Ro, 900(x, y)
RO, 1800 orx - axis(x, y)
Orx-axis Ro, 1800(x, y)

Answers

Answer:

The second one: r x-axis. R 90(x,y)

Step-by-step explanation:

You can see that from ABC to A'B'C', it's rotated a positive 90 degrees. then, from A'B'C' to A"B"C", reflected across x-axis. and when writing the transformation, it goes by last to first. that's why the R 90 comes first.

The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the rule which describes the composition of transformations that maps ΔABC to ΔA"B"C".

Now, You can see that from ABC to A'B'C',

it's rotated a positive 90 degrees.

And, Then, from A'B'C' to A"B"C", reflected across x-axis.

Now, when writing the transformation, it goes by last to first. that's why the R 90 comes first.

Thus, The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

Learn more about the transformation visit:

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a student answered 86% of the questions on a test correctly. he received a grade of 98%. how many questions were on the test?

Answers

Let the number of questions on the test equal X which would be 100%

They answered 86 which equaled 98

Set up a ratio:

X/86 = 100/98

Cross multiply:

98X = 8600

Divide both sides by 98:

X = 87.75

Round to 87 questions

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