find the area of the equilateral triangle.if its perimeter is 24cm
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
A groundskeeper needs grass seed to cover a circular field. 150 feet in diameter. A store sells 50-pound bags of grass seed. One pound of grass
seed covers about 60 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field?
Answer:
6 bagsStep-by-step explanation:
Area of the field
A = πr²= πd²/4A = 3.14*150²/4 ≈ 17662 ft²Number of pounds
17662/60 = 294 poundsNumber of bags required
294/50 = 5.88 ≈ 6 bagsAnswer:
6
Step-by-step explanation:
By considering the discriminant, find the
value of the constant p such that the
following equation has equal/repeated
solutions.
4x2 + 8x + p = 0
Answer:
p = 4Step-by-step explanation:
A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.
The formula of a discriminant (Δ) of equation
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]
We have the equation
[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]
substitute
[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]
subtract 64 from both sides
[tex]-16p=-64[/tex]
divide both sides by (-16)
[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]
A frozen dinner at a grocery store is purchased for $2.20 wholesale and is marked up by 40 percent. A customer wants to buy four frozen dinners. How much will the customer pay, including paying 9 percent sales tax? Round your answer to the nearest cent. $8.80 $10.07 $13.43 $14.39
Answer:
$13.43
Step-by-step explanation:
Given that :
Price of dinner wholesale = $2.20
Markup % = 40%
Hence, selling price = (100 + 40)% * $2.20
Selling price = 140% * $2.20
Selling price = 1.4 * $2. 20 = $3. 08
Hence, price of 4 frozen dinner :
$3. 08 * 4 = $12.32
9% sales tax:
9% * $12.32
0.09 * $12.32 = 1.1088
Total amount paid :
$(12.32 +. 1.1088)
= $13.4288
= $13.43
Answer:
The answer is $13.43
Step-by-step explanation:
I just answered that question, and got it right
Approximate the value of each irrational expression. Use 22/7 as a rational approximation for pi.
2pi
5pi + 1
Pi to the second power
Answer:
pi=22/7
2pi=44/7
5pi+1=110/7+1=117/7
pi to the second power=22/7 times 22/7=484/49
Hope this helps, but I don't know.
Answer:
hi
Step-by-step explanation:
Plz help me
Thank you
Answer:
^^ so the formula is y=mx+b.
b is the y intercept, the slope is the mx part.
You are at an pear picking farm and they allow you to pick up to 50 pears a day. Today, you have already picked 14 pears. Which inequality below would represent how many pears you can still pick, p?
p − 14 ≤ 50
p + 14 ≥ 50
p − 14 ≥ 50
p + 14 ≤ 50
Answer:
p + 14 ≤ 50
Step-by-step explanation:
what you pick, p , plus the 14 you have, must be less than the 50 allowed.
Answer:
p + 14 ≤ 50
Step-by-step explanation:
Since you have already picked 14, you can pick p more. The sum of what you have already picked and what you will pick has to be 50 or less.
(a+b) to the power of two a= -3 and b= 6.
Answer:
9
Step-by-step explanation:
-3+6 is 3
3*3 is 9
Convert 400 U.S. dollars to pesos if 1 peso is 1.208 U.S, dollars
Answer:
483.24
Step-by-step explanation:
1
Mr. Baker calculated the area of 4 different styles of rugs. The areas of the 4 rugs are shown.
OS
MARULUGARES PARA
P
ALETICO
ZORLUFERITY
A = 50 m2
A5 m2
A = 2 m2
A = 15 m2
Whlch list shows the rugs in order from least area to greatest area?
A
Oval Rug, Square Rug, Circular Rug, Rectangular Rug
B Oval Rug, Square Rug, Rectangular Rug, Circular Rug
C Square Rug, Oval Rug, Rectangular Rug, Circular Rug
D
Circular Rug, Rectangular Rug, Square Rug, Oval Rug
Luke solves this problem. He says that the difference is 416. 864 − 458 ________ Complete the explanation of the mistake Luke made. Luke regrouped 6 tens 4 ones as ? ten(s) 14 ones. He should have regrouped 6 tens 4 ones as ? ten(s) 14 ones. What is the correct difference? The correct difference is ___ .
Answer:
Luke regrouped 6 tens 4 ones as 6 tens 14 ones
He should have regrouped 6 tens 4 ones as 5 tens 14 ones
The correct difference is 406.
Step-by-step explanation:
First, we will complete the explanation,
For the difference,864 − 458, Luke got 416;
The explanation of the mistake Luke made is
Luke regrouped 6 tens 4 ones as 6 tens 14 ones
Such that, the difference of the ones (14 - 8) gives him 6 ones,
difference of the tens (6 - 5) gives him 1 ten
and difference of the hundreds ( 8 - 4) gives him 4 hundreds
Hence, his answer 416.
He should have regrouped 6 tens 4 ones as 5 tens 14 ones
So that, the difference of the ones (14 - 8) will give him 6 ones,
difference of the tens (5 - 5) will give him 0 ten
and difference of the hundreds (8 - 4) will give him 4 hundreds
Hence, he would have gotten 406.
The correct difference is 406.
Evaluate the function.
g(x) = 3x2 – 2x + 5
Find f(2)
Answer:
13
Step-by-step explanation:
12-4+5 = 13
Just the last question thank you!!
Answer:
6 X 10^21
Step-by-step explanation:
Write an expression for the perimeter of the triangle shown below: (4 points)
A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.
A 6.9x − 16
B 6.9x + 16
C 0.1x − 16
D 0.1x + 16
Answer:
The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C
Step-by-step explanation:
The perimeter of a triangle is the sum of the lengths of its sides
Let us solve the problem
∵ The lengths of the sides of a triangle are:
0.5x + 93x-3.4x - 25∵ The perimeter of the triangle = sum of lengths of its sides
∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)
→ Add the like terms
∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)
→ Remember (+)(-) = (-)
∴ The perimeter = (3.5x - 3.4x) + (9 - 25)
∴ The perimeter = 0.1x + -16
∴ The perimeter = 0.1x - 16
The expression of the perimeter of the triangle is 0.1x - 16
Answer:
C.
Step-by-step explanation:
0.1x − 16
If a polynomial function f(x) has roots 4 - 13i and 5, what must be a factor of f(x)?
(x + (13- 41)
(x - (13 + 41))
(x + (4 + 131)
O (x -(4+131)
Answer:
just took the test and it's D on edge
Step-by-step explanation:
The required factor of polynomial function f(x) is (x - 4 + 13i) . Option D
Polynomial function f(x) has roots 4 - 13i and 5.
What must be a factor of f(x) is to determined.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Since the root of the equation is given 5, 4 - 13i.
Now the factors can be given as (x - a)(x - b) for the polynomial function.
Implies (x - 5) and (x - (4-13i))
(x - 5) and (x -4 + 13i) is the factor of the required polynomial function that has roots 4 - 13i and 5.
Thus, The required factor of polynomial function f(x) is (x - 4 + 13i) .
Learn more about polynomial function here:
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Question 5
(-8,000,000)° is 1.
True
O False
Monique purchases a $5,100 dining room set. She can't afford to pay cash, so she uses the installment plan, which requires an 18% down payment. How much is the down payment?
Answer:
$918 is her down payment
Step-by-step explanation:
.18×5100
The Down payment is $918.
What is down payment?
Down payment is the initial amount which is paid by the person who purchases an item on credit.
It is the advanced payment which is given at starting of purchase an item. It is a cash payment which is made at the beginning of a purchase of an item.
As per the question, monique purchased $5100 dining room set.
As she cannot afford to pay all amount immediately, she took it on credit on installment but she has to pay down payment, an initial amount of certain percentage, which is 18% down payment.
Cost of an dinning room set = $5100
Down payment = 18%
So, the amount of down payment, which she will pay intially is $5100 × 18/100 = $918.
Monique will pay $918 as a down payment.
$918 is the advanced amount which will be paid by monique to purchase dining room set as a down payment.
To know more about down payment click the link below
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I’ll give brainley and 10 points
Answer:At a charity fund raiser , adult tickets were sold for 8$ children each and children’s tickets were sold at 2$ each. write an algebraic expression for the total amount raised from the sale of tickets. At a charity fund raiser , adult tickets were sold for 8$ children each and children’s tickets were sold at 2$ each. write an algebraic expression for the total amount raised from the sale of tickets. How much money was raised if the fundraiser sold 238 adult tickets and 375 children’s tickets?
Step-by-step explanation:
2,654$
Step-by-step explanation:
8a + 2c
8 x 238 = 1,904
2 x 375 = 750
750 + 1,904 = 2,654
2,654$
Answer:At a charity fund raiser , adult tickets were sold for 8$ children each and children’s tickets were sold at 2$ each. write an algebraic expression for the total amount raised from the sale of tickets. At a charity fund raiser , adult tickets were sold for 8$ children each and children’s tickets were sold at 2$ each. write an algebraic expression for the total amount raised from the sale of tickets. How much money was raised if the fundraiser sold 238 adult tickets and 375 children’s tickets?
Step-by-step explanation:
2,654$
Step-by-step explanation:
8a + 2c
8 x 238 = 1,904
2 x 375 = 750
750 + 1,904 = 2,654
2,654$:
solve for t. 79t=14 write your answer here
Answer: im pretty sure its 14 divided by 79 soo 0.17?
if not im sorry
use your brain tho:)
hope this helps you
Select the smallest fraction from the following list of fractions.
2/3
1/4
1/10
5 1/12
3/8
2 1/2
Answer:
1/10
Step-by-step explanation:
What is the slope of the line y = -2?
Answer:
0
Step-by-step explanation:
There is no x, therefore there is no slope.
• Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He gets
paid $30 per day for delivering newspapers. What is the least number of days he must work to
get enough money for his holiday?
Answer:
15
Step-by-step explanation:
500-60=440
440/30=14.66666667
simplify 14.66666667= 15
Anup bought 50 glasses
for Rs 1800
out of which 4 were broken. If
he sold the rest of the
glasses for Rs. 35 each. How much
profit or loss percentage did
he bear?
Step-by-step explanation:
50 glasses for Rs 1800
4 broken
sold each for Rs.35 each
50-4=46
35*46=1610
A racing car can complete an 700 m long lap in 14 s. What is the speed of the
car?
Answer:
[tex]\boxed {\tt 50 \ m/s}[/tex]
Step-by-step explanation:
To find the speed, divide the distance by the time. We can use the following formula:
[tex]s=\frac{d}{t}[/tex]
The racing car completed a 700 meter lap in 14 seconds. So, the distance is 700 meters and the time is 14 seconds.
[tex]d= 700 \ m \\t= 14 \ s[/tex]
Substitute the values into the speed formula.
[tex]s=\frac{700 \ m }{14 \ s}[/tex]
Divide.
[tex]s= 50 \ m/s[/tex]
The speed of the racing car is 50 meters per second
Answer:
The answer is 50 m/sStep-by-step explanation:
The speed of an object can be found by using the formula
[tex]v = \frac{d}{t} \\ [/tex]
where
v is the speed
d is the distance
t is the time
From the question
d = 700 m
t = 14 s
We have
[tex]v = \frac{700}{14} \\ [/tex]
We have the final answer as
50 m/sHope this helps you
A music app charges $2 to download the app plus $1.29 per song download, Identify the rate of change.
Answer: 1.29
Step-by-step explanation: y=1.29x+2
1.29 is the coefficient of X, slope, and the rate of change.
calculate the distance travelled by a bus in 2 hrs which moves with a velocity of 22 m/s
Answer:
158400 meters
Step-by-step explanation:
multiply 3600 by 22 then multiply by 2
PLEASEEE HELP TOMORROW IS THE LAST DAY TO THEN STUFF IN AND ITS REPORT CARDS
This is ezz homework pay attention in class
I think this is correct
true or false? the opposite and adjacent sides stay the same no matter which angle you are looking at.
Answer:
true
Step-by-step explanation:
Lines will not always be written initially in y=mx+b form. Sometimes you will need to do some simple
manipulation (typically one or two steps) to rearrange into this form.
Exercise #3: For each of the following equations, rearrange them into y = mx +b form and identify the slope
and y-intercept of the line.
(a) y +2x = 7
(b) 2x+3y = 12
(c) 4x -6y = 7
Answer:
a. y = -2x + 7
b. y = -⅔x + 4
c. y = ⅔x - 7/6
Plz mark brainliest:)
a=x+y/2 Solve for y
I need this ASAP, please
Answer:
2A=
Step-by-step explanation:
Being in the same denominator makes the task much simpler.
Explanation:
A
=
X
+
Y
2
Simplify using the property
a
b
=
m
n
⇒
a
×
n
=
b
×
m
2
A
=
X
+
Y
2
A
−
X
=
Y
Hopefully this helps!
Answer:
the answer is y = 2a - 2x
Step-by-step explanation:
That's what I get when I solve for y