the perimeter of a right angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5. work out the area of the triangle
The area of the given triangle will be 216 cm²
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
We have been given that the perimeter of a right-angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5.
Let the side lengths of the given triangle be 3x, 4x, and 5x
The perimeter of the triangle = 3x + 4x + 5x
72 = 12x
x = 6
So first side length = 3(6) = 18 cm
So second side length = 4(6) = 24 cm
And third side length = 5(6) = 30 cm
Area of the triangle = (18 × 24)/2
Area of the triangle = 216 cm²
Therefore, the area of the given triangle will be 216 cm².
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Help!!!!!!! Meeee plead I’ve already out this question down but nobody answers it:(
Answer:
1. Y = 6
2. Y = 8
3. Y = 1
4. Y = 3
Step-by-step explanation:
1. Y = -(-1) + 5 = 1 + 5 = 6
2. Y = -(-3) + 5 = 3 + 5 = 8
3. Y = -4 + 5 = 1
4. Y = -2 + 5 = 3
Hope this helps you!
Answer: hold up, the answer is 4, 2, 9, and 7. Don't worry I help you to answer this question. Wrong answer the answer is 1. Y = 6
2. Y = 8
3. Y = 1
4. Y = 3
Step-by-step explanation:
Andrea ordered a computer on the Internet. The computer cost $1399 plus 6 1/2% sales tax. What was the total amount Andrea paid for her computer?
Answer:
$1,489.94
Step-by-step explanation:
Answer:
1,489.94
Step-by-step explanation:
6.5% = 0.065
1399x 0.065= 90.935
1399 + 90.935 = 1,489.94
What is 2373.84 rounded to the nearest hundredth
Answer:
2400 ( if it the HundredTHS place Then it will just be 2373.84 because there is no thousandths place :P )
Step-by-step explanation:
A water park sells
168
168 tickets. Each ticket costs
$
12
$12. What is the total cost of the tickets sold?
Answer:
168x12 and u get ur answer
Step-by-step explanation:
just do 168x12
if it sells 168 tickets and each is $12, then:
12 x 168 = 2,016
total cost = $2,016
where is plymoth rock
Answer:
If u mean plymouth rock then the answer is
Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.
Step-by-step explanation:
0.2x + 1 = 1.6x + 3.1
What value of x satisfies the equation above?
Answer:
x = -1.5
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
0.2x + 1 = 1.6x + 3.1
Step 2: Solve for x
Subtract 0.2x on both sides: 1 = 1.4x + 3.1Subtract 3.1 on both sides: -2.1 = 1.4xDivide both sides by 1.4: -1.5 = xRewrite: x = -1.5Step 3: Check
Plug in x to verify it's a solution.
Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1Multiply: -0.3 + 1 = -2.4 + 3.1Add: 0.7 = 0.7What are the domain and the range of this function?
please need help thank you so much.
Answer:
I am not certain but I think it's y=2x+4 I don't know tho but I think that's it
Please Help quick quick
Answer:
4
Step-by-step explanation:
Answer:
x=-5/3
x=-34/9
Help me please. I’m trying very hard.
Answer:
27/3
Step-by-step explanation:
50-(18+5)= 27
27/3
6. The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measures, while angle C is 57 degrees larger than the other two angles. Find the measure of angle C. a. 41 degrees b. 98 degrees c. 82 degrees d. 139 degrees Answer:
Answer:
well, if we want to know the measure angle c. we need to know the other angles measures. We know that c. is 57 more than a. and b.
So, if the triangle is 180 degrees in total, than we need to subtract 57 frm 180 to get 123. Now we divide that by 2 because that is what the other 2 angles will measure. 123 divides by 2 is 61.5.
now we subtract 61.5 from 180 to get 118.5
now to subtract 61.5 again because the 2 angles are the same measure. 118.5-61.5 is 57. so it cant be any of the answers you provided if angle a and b are the same
Step-by-step explanation:
plz mark brainliest!
Solve w + (-2) = -18 for w.
w =
Answer:
Step-by-step explanation:
w - 2 = -18
w - 2 + 2 = - 18 + 2
w = -16
Answer:
-16
Step-by-step explanation:
w + (-2) = -18 w= -16
Write an expression for the sequence of operations described below. add b to a, then multiply 9 by the result Do not simplify any part of the expression.
Answer:
9a+9b
Step-by-step explanation:
Add b to a and multiply 9 by the result without simplifying any part of the expression.
Not simplifying an expression in algebra means not organizing or grouping like terms in the algebraic expression in such a way as to make it more understandable. It is not required in this case. Hence,
We add b to a
=a+b
We multiply 9 by the result
=9 * a+b
=9(a+b)
= 9a+9b
How do I solve this and check all the solutions?
Answer:
x = 2
Step-by-step explanation:
(Square both sides)
20 - 8x = x^2
(Solve 20 - 8x = x^2)
x = 2 , x = 10
x = 10 is false, so the answer is x = 2.
Answer:
x=2
Step-by-step explanation:
√20-8x=x
2√5-2x=x (by simplfing redical expression)
4(5-2x)=x^2 (square both side)
20-8x=x^2
20-8x-x^2=0
-x^2-8x+20=0
x^2+8x-20=0
x=2
Note:There is a another answer x=-10 But it's wouldn't fit out with this equation
En una pasteleria realizan 15 posteles cada 30 min
Cuantas pasters se haran en 4 horas con 15 min?
Answer:
60
Step-by-step explanation:
había multiplicado 4 y 15 espero que esto ayude
P= (x,y) is an arbitrary point on the circle x^2+y^2=36
1. Express the distance d from P to the point A= (8,0) as a function of the x-coordinate of P
2. What are the domain and range of this function d(x)?
Let (x,y) be an arbitrary point on the circle.
Then d = √[x-3)2 + (y-0)2] = √[x2 - 6x + 9 + y2]
Since x2 + y2 = 1, y2 = 1-x2.
So, d = √[x2 - 6x + 9 + 1 - x2]
d = √(-6x+10)
Domain: x is the x-coordinate of a point on the circle centered at (0,0) with radius 1. So, -1≤x≤1.
But, for d to be defined, we need -6x+10 ≥ 0. So, x ≤ 5/3 (True for all x in [-1,1]).
Domain = [-1,1]
Range: -1 ≤ x ≤ 1 So, 6 ≥ -6x ≥ -6
16 ≥ -6x+10 ≥ 4
4 ≥ √(-6x+10) ≥ 2 That is, 2 ≤ d ≤4
Range: [2,4]
Step-by-step explanation:
Help will give a crown!!
Answer:
okay
Step-by-step explanation:
1) Each side length is 12
2) Each side length is 2
y is directly proportional to x. when x = 8, y = 20. determine the value of y when x = 3
Step-by-step explanation:
y is directly proportional to x
y = kx
k represents the constant of proportionality.
when y = 20 and x = 8:
20 = 8k
Dividing both sides by 8 gives:
k = 2.5
Hence when x = 3.
y = 2.5(3)
y = 7.5 .
The value of y when x=3 is 7.5
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
y is directly proportional to x.
and, when x = 8, y = 20.
So, using proportion
8/20 = 3/y
8y = 60
y= 60/8
y= 7.5
Hence, the value of y is 7.5
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Question 26
y = 1/8x
What is y when x is 37?
ROUND YOUR ANSWER TO THE NEAREST HUNDRETH.
Answer:
y ≈ 4.63
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
y = 1/8x
x = 37
Step 2: Evaluate
Substitute: y = 1/8(37)Multiply: y = 37/8Divide: y = 4.625Round: y ≈ 4.63And we have our final answer!
You are tasked with buying pizza for a party that has 100 guests. 40 guests are children, and 60 guests are adults. Half of the children want pizza, and two thirds of the adults want pizza. Children will eat one slice of pizza, and adults will eat two slices of pizza. A pizza pie can be cut into 8 slices and costs $9 dollars per pie.
Total slices required for children,
[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .
Total slices required for adults,
[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]
So, total slices required are, 20 + 80 = 100 .
Number of pizza, n = 100/8 = 12.5
So, he has to order 13 pizza cause pizza cannot be purchased in fraction.
Total price, P = 13 × 9 = $117 .
Hence, this is the required solution.
The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.
Answer:
5280
Step-by-step explanation:
I'm American and our system sucks but 1 mile is equal to 5280 feet
May I have brainliest please? :)
Answer:
I'm American and our system sucks but 1 mile is equal to 5280 feet
SUPER EASY AND ILL GIVE BRAINLIEST
determine which of the following are functions
a. I and III only
b. II and IV only
c. II, III, and IV only
d. I, II, III and IV
Answer:
I and III only
Step-by-step explanation:
Answer:
2 and 5
Step-by-step explanation:
Make sure you use the vertical line to determine what is a function
EASY QUESTION
You are making gift bags for a school party. You have 48 pencils, 80 markers, and 64 stickers. Each gift bag will have the same number of each item. You want to use all of the items.
What is the greatest number of gift bags you can make?
Answer:
i think it is 48 because each gift bag will have the same number of each item,
so if each gift bag has 1 pencil, 1 marker, 1 sticker, we will have the greatest number of gift bags.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
the greatest common factor of 48,80 and 64 is 16
. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24
a. y = 3x – 5 b. y =5-x/3
Answer:
a - neither b - perpendicular
Step-by-step explanation:
put them in desmos and look at the lines
How do I solve 4x+23>-21
Answer:
Inequality Form:
x>-11
Step-by-step explanation:
Interval Notation:
(-11,\infty )
Answer:
Step-by-step explanation:
4x + 23 > -21
4x > -21 -23 (moving 23 to the right side of equation changes the +23 to -23
4x > -44 (adding -21 to -23)
x > -11 (dividing both sides of equation by 4, this keeps the equation the same
Solution: x > -11 (x is greater than negative 11)
Increase £200 by 25%
ill give u brainlist
Answer:
250
Step-by-step explanation:
First we need to find the 25% of £200
200 × 25 ÷ 100 = 50
200 + 50 = 250
a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven
Answer:
0.32x + 60= y
Step-by-step explanation:
THIS IS TIMED!
Thanks:)
Determine f(-2/3) for the function f(x)=3x²+2x+1
Answer:
1
Step-by-step explanation:
To evaluate, substitute x = - [tex]\frac{2}{3}[/tex] into f(x), that is
f(- [tex]\frac{2}{3}[/tex] )
= 3(- [tex]\frac{2}{3}[/tex] )² + 2(- [tex]\frac{2}{3}[/tex] ) + 1
= 3([tex]\frac{4}{9}[/tex] ) - [tex]\frac{4}{3}[/tex] + 1
= [tex]\frac{4}{3}[/tex] - [tex]\frac{4}{3}[/tex] + 1
= 0 + 1
= 1
Answer:
1
Step-by-step explanation:
f(x) = 3x² + 2x + 1
f(-2/3) = 3x² + 2x +1
f(-2/3) = 3(-2/3)² + 2(-2/3) + 1
Substitute the value in for all the x's
f(-2/3) = 3(4/9) + 2(-2/3) + 1
f(-2/3) = 12/9 + (-4/3) + 1
f(-2/3) = 4/3 + (-4/3) + 1
Subtracting 4/3 by (-4/3) gets you 0 so I didn't write it down.
f(-2/3) = 1
So, the answer I got is 1