find the area of the equilateral triangle.if its perimeter is 24cm
Answers
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
Related Questions
The product of two
consecutive whole numbers is
132. What are the two
consecutive whole numbers?
Answers
Answer:
11 and 12
Step-by-step explanation:
x(x+1)=132
x^2+x=132
x^2+x-132=0
(x-11)(x+12)=0
x = 11 or x = -12
when x=11 ,
x+1=12
11*12=132
Which graph does not represent a function
Answers
Answer:
Graph D
Step-by-step explanation:
it does not pass the linear test to qualify as a function
Need help with 5-8 with working out will be marking brainliest
Answers
Answer:
hope to have helped you:)
What is the equation of a line through point (0,5) that is parallel to the line with equation y= x -7
Answers
Answer:
y=x+5
Step-by-step explanation:
Lines are parallel if they have the same slope, the Y-intercept does not matter. Since these line passes through point (0,5) it's y-intercept has to be 5 and It's still parallel with line y=x-7.
5x - 2y= 26 y + 4 = x
Plzzz help I got 10 minutes
Answers
The Value of x and y are (x,y) = (7,3).
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.
GIven equations are :
5x - 2y= 26.....(1)
y + 4 = x..........(2)
Solve by substitution :
substitute equation 2 in equation 1 and solve for y
5x - 2y= 26
5(y+4) - 2y = 26
5y + 20 -3y = 26
2y = 26 - 20
2y = 6
y = 3
now, the value of x will be :
x = y + 4
x = 3+4
x = 7
Therefore, The Value of x and y are (x,y) = (7,3).
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Mr. Cooper is baking chocolate chip cookies using his grandma's recipe. The number of cups of chocolate chips needed to the number of dozens of cookies made can be represented by the ratio 4 : 5. Using the same recipe, what is the amount of chocolate chips needed for 1 dozen?
Answers
Answer:
0.8 cups
Step-by-step explanation:
Given that:
Numbe of cups of chocolate chips needed to the Number of dozens of cookies made can be represented using the ratio 4:5
Hence,
The proportion of cups of chocolate chips to the number of dozens of cookies = 4 / 5
4 cups of chocolate chips to 5 dozens of cookies ;
For 1 dozen of cookies, number of chocolate chips will be (x)
4 / 5 = x / 1
Cross multiply
4 * 1 = 5 * x
4 = 5x
x = 4/5 = 0.8
Hence, for 1 dozen of cookies, 0.8 cups of chocolate chips is required
If a population is _______
a sample of the population could be________
A. those with window seats; all passengers on a bus
B. straight-A students; the entire student body
C. all students at a high school; students at the high school whose ID
number ends in 7
D. baseball players; all athletes
Answers
Answer:
C
Hope This Helps Friend!
how do you convert fractions to decimals?
Answers
Answer:
divide the fractions
Step-by-step explanation:
lets say we have 23/5
we can divide 23 by 5 and get a decimal of 4.6
or lets say we got 1/5
divide 1 by 5 and you will get 0.2
What is the product of 840 and 4.6 \times 10^24.6×10
2
expressed in scientific notation?
Answers
Answer:
840
Step-by-step explanation:
840&*67---***&%%%%%:
3.864×10⁵ is the product of 840 and 4.6×10² in scientific notation
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
We need to find the product of 840 and 4.6×10²
Eight hundred forty into four point six into ten to the power of two.
840× 4.6×10²
3864×10^2
Divide and multiply by 1000
3.864×10^5
Hence 3.864×10⁵ is the product of 840 and 4.6×10²
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Write 0.000 052 3 in standard form.
Answers
5.23×10
−5
.
Answer:
523
Step-by-step explanation:
as 5 is in hundreds place
2 is in tens place
3 is in ones place
I need some help with geometry!
Answers
Answer:
vertical
Step-by-step explanation:
What is the scale factor from triangle ABC to triangle PQR?
Answers
The scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
To find the scale factor from triangle ABC to triangle PQR, we need to compare the corresponding side lengths of the two triangles.
Side AB corresponds to side PQ, which has a length of 6 units.
Side BC corresponds to side QR, which has a length of 9 units.
Side AC corresponds to side PR, which has a length of 12 units.
So, the scale factor from triangle ABC to triangle PQR can be found by comparing the ratio of corresponding side lengths:
AB/PQ = BC/QR = AC/PR
Using the values we found above, we can write:
|AB/PQ| = 2/3
|BC/QR| = 3/4
|AC/PR| = 4/5
Since all three ratios are equal in magnitude, we can take any one of them to be the scale factor. Therefore, the scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
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27. In a class test containing 15 questions 4 marks are given for every correct answer and
(-1) marks are given for every incorrect answer.
(i) Gokul attempts all questions but only 6 of his answers are correct. What is his
total score?
(ii) Neena gets 12 of her answers correct. What will be her score?
Answers
Answer:
24 and 72
Step-by-step explanation:
just multiple them both by 6
Q is between P and R. S is between Q and R. R is between Q and T. PT=34, QR=8, and PQ=SQ=SR what is the length of RT.
Answers
Answer:
22
Step-by-step explanation:
Let us interpret this problem;
---------------34-------------------
P Q S R T
----- 8 --------
-------- --------- --------
x x x
Let PQ = SQ = SR
Find RT;
QS + SR = 8
Also;
x + x = 8
2x = 8
x = 4
To find RT;
RT = PT - (PQ + QR)
RT = 34 - (4 + 8) = 34 - 12 = 22
Answer:
22
Step-by-step explanation:
please help!! It’s for geometry!!
Answers
Answer:
1. SAS
2. SSS
3. SAS
4. SAS
5. SSS
6. SSS
7. SAS
8. SSS
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Given that f(x)=x-3 and g(x)=x^2-x, find (f+g)(-2)
Answers
Answer:
(f + g)(- 2) = 1
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= x - 3 + x² - x
= x² - 3
Thus
(f + g)(- 2) = (- 2)² - 3 = 4 - 3 = 1
Need help please hehehehehe
Answers
Answer:
no help kid
Step-by-step explanation:
Answer:
the answer is c
Step-by-step explanation:
Gianna earned $466.90 at her job when she worked for 23 hours. How much money did she earn each hour?
Answers
Answer:
About $20.30
Step-by-step explanation:
$466.90 divided by 23.
You need to divide 466.90 which is the total amount for 23 hours and then divide that by 23
need help asapp I'll brainlist u once u finish !!
Answers
Answer:
-3*-6*2^2+1
18*4+1
72+1
73
Step-by-step explanation:
2(5*-6*2-3)
2(-30*-1).
2*30
60
4*-6^2*2+2/10
4*36*2+2/10
4*72+2/10
288+2/10
290/10
29
9(-6-2^2)/6
9(-6-4)/6
9*10/6
90/6
15
What is the slope of a line that is parallel to the line y=2/3x+5
Answers
Answer: 2/3
Step-by-step explanation: The slopes of parallel lines are equal/the same but they have different y intercepts
What is a swing state?
A
A state in which two major political parties have similar levels of support
B.
a state that has a large number of electoral votes
C
a state that historically votes for one of the minor political parties
D
a state that hosts the national convention for a political party
Answers
Answer:
swing state
noun
a US state where the two major political parties have similar levels of support among voters, viewed as important in determining the overall result of a presidential election.
Step-by-step explanation:
jeana´s calculator display shows the number to the right.
a. express this number in scientific notation.
number to the right is 3.76EE13
Answers
Answer:
3.76EE13 is 3.76 * 10^13
Step-by-step explanation:
Here, we are to express what is written on the calculator in scientific notation.
Mathematically, that would be
3.76 * 10^13
The terms EE13 represent 10^13
HELP MY GRADE IS HORRIBLE
Answers
Answer for y-2x^2-8x+ 10 is -10
Find the value of a and b
Answers
Answer:
a=58
b=95
Step-by-step explanation:
Please help me with this problem and explain
Answers
Answer: 29
It is very simple, just substitute.
x = 9, y = 10
Replace the x and y in the expression to that.
You get: 9 + 10 + 10. Just add and you will get 29.
Answer:
9+10+10=29
Step-by-step explanation:
We know that x=9, so where ever we see x we know it is 9. We also know that y=10, so where ever we see y we know it is 10. So then we just replace the variables with our numbers then just add them. That is I got 9+10+10=29
Hope this helps!
What is the slope of line that passes through the points -2,4 and 1,-1
Answers
Answer:
-5/3
Step-by-step explanation:
-2 to 1 =3 x=3
4 to -1=5 y=-5
y/x slope=-5/3 or -1 2/3
Please help D: what’s the answer
Answers
-7a-3=18
Solve for A
Answers
Answer:
a = -3
Step-by-step explanation:
-7a-3=18
Add 3 to each side
-7a-3+3=18+3
-7a = 21
Divide each side by -7
-7a/-7 = 21/-7
a = -3
Answer:
a= -3
Step-by-step explanation:
[-7a - 3 = 18]
Add 3 to both sides
[-7a=21]
Divide both sides by -7
[a= -3]
143cups + 1 1/3 cups
Answers
Answer: 144 1/3 cups
Step-by-step explanation: 143+1 1/3=144 and 1?3
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
Answers
2x^3+9x^2+5x+27
The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
What is the standard form of the polynomial?
To write a polynomial in its standard form, we first simplify then write the terms in an descending order.
Given the polynomial; 9x² + 5x + 27 + 2x³
First, we move the constant 27 to the right end of the expression
9x² + 5x + 2x³ + 27
Next, we move 2x³ left end of the expression
2x³ + 9x² + 5x + 27
Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
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