The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.
what is triangle ?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
given
area of equilateral triangle = [tex]9\sqrt{3}cm^{2}[/tex]
formula of area of equilateral triangle = [tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex]
a = side of triangle
[tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex] = [tex]9\sqrt{3}cm^{2}[/tex]
[tex]a^{2} = \frac{4* 9\sqrt{3} }{\sqrt{3} }[/tex]
[tex]a^{2} = 36\\ a = 6 cm[/tex]
since equilateral triangle all sides are equal
perimeter of triangle = 6 + 6 + 6
= 18cm
the semi perimeter of the triangle = 18 /2 = 9 cm
The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.
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Find the surface area of this rectangle prism L=6 H=6 W=4
Answer:
168
Step-by-step explanation:
Surface area= 2(WL+HL+HW)
2×(4×6+6×6+6×4)
=168
Four students are in the final rounds of a chess tournament. Based on their chess rankings, Gloria is twice as likely as Devon to win. Devon is twice as likely as Janet to win. Janet is just as likely as Harry to win. Create a table of fractional probabilities of winning for the four-person sample space.
need pointz
Step-by-step explanation:
See image for question. Please show workings.
Answer:
14.3 yearsStep-by-step explanation:
The average age of 18 girls is 12.
Total age of girls:
18*12 = 216The average age of 15 boys is 17
Total age of boys:
15*17 = 255Total age of children:
216 + 255 = 471Total number of children:
18 + 15 = 33Average age of children:
471 / 33 = 14.3 (rounded)Is (-1, 0) a solution to this inequality?
Answer:
False
Step-by-step explanation:
y < -2x -2 Substitute in -1 for x and 0 for y and see if the statement is true.
0 < -2(-1) - 2
0 < 2-2
0 < 0
This is a false statement.
Answer: A / No.
Step-by-step explanation:
We will substitute the point given, (-1, 0) and see if the inequality is true after simplifying.
Given:
y < -2x - 2
Substitue:
0 < -2(-1) - 2
Multiply:
0 < 2 - 2
Subtract:
0 < 0 ✗
0 is not less than 0, so this point is not a solution.
11,778 divide 26
Show work pls
Answer:
453
Step-by-step explanation:
To perform long division of 11,778 by 26, we follow these steps:
452
_____
26 ) 11,778
-104
------
157
156
----
21
Therefore, 11,778 divided by 26 is equal to 452 with a remainder of 21.
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Find the volume of the cone. Round your answer to the nearest tenth.
Answer:
261.79
Step-by-step explanation:
V= 1/3 N r2 h
What is the radius of a hemisphere with a volume of 38153 in”, to the nearest tenth
of an inch?
Answer:
26.3
Step-by-step explanation:
Delta Math
The radius of a hemisphere with a volume of [tex]38153[/tex] in", to the nearest tenth of an inch is [tex]26.3[/tex].
What is radius?A circle's or sphere's radius is any line segment that connects the object's centre to its perimeter in classical geometry; in more contemporary usage, it is also the length of those line segments.
The word "radius" is derived from the Latin word "radius," which also refers to the spoke of a chariot wheel. Use the equation [tex]r =\frac{D}{2}[/tex] to determine the radius, which is equal to half the diameter. This is the same process used to determine a circle's radius from its diameter.
A hemisphere's volume is equal to [tex]\frac{2}{3} \pi r^3[/tex] cubic units. Where is an estimated constant with a value of [tex]3.14[/tex]. The hemisphere's radius is denoted by "r."
Required calculations are:
V = r
r = radius.
Given, V = 38153 in³
[tex]38153 = \frac{2}{3} \pi r^3[/tex]
[tex]r^3 = \frac{3 \times 38153}{2 \times \pi }[/tex]
[tex]r = 3\sqrt{\frac{3 \times 38153}{2 \times \pi }}[/tex]
r =26.3 in
Therefore, the radius of a hemisphere with a volume of [tex]38153[/tex] in", to the nearest tenth of an inch is [tex]26.3[/tex].
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The table below shows the number of animals at a local petting zoo.
Animal
Goats
Number
3
Ponies
3
Rabbits
8
Sheep
6
Write the ratio of ponies to sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, if
possible.
Answer:
1/2
Step-by-step explanation:
You are comparing ponies to sheep, so you put the ponies on top(3)
and the sheep on the bottom(6)
3/6 reduces to 1/2
Find the measure of angle A. Round your answer to the nearest whole number
Answer:
∠ A ≈ 53°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{12}{9}[/tex] , then
∠ A = [tex]tan^{-1}[/tex] ([tex]\frac{12}{9}[/tex] ) ≈ 53° ( to the nearest whole number )
if pam makes 250 dollars from making 15 pots, what is her piece rate?
Pam's piece rate is $16.67 for every pot she produces.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
Pam's piece rate is the amount of money she earns for each pot she makes. In this case, she earned $250 for making 15 pots, so her piece rate is:
$250 ÷ 15 pots = $16.67 per pot
Therefore, Pam earns $16.67 for each pot she makes. This is a way of calculating her pay based on the number of units she produces, rather than by the hour.
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A newsletter publisher believes that more than 47% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?
There is no sufficient evidence at the 0.05 level to substantiate the publisher's claim
How to determine the substantial claim?The parameters for the claim is more than 47% of their readers own a personal computer0.05 level of significanceNote that the significance level, also known as alpha or α, is a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant
In conclusion, the advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%
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help need answered today PLEASE
first answer thats correct will get brainly crown
Answer:
2/3
Step-by-step explanation:
Slope = rise / run = 2 / 3
Because points A, B, C, and D are collinear (meaning on the same line), the slope for line segment AB is the same as the slope for segment DC.
Answer:
2/3.
Step-by-step explanation:
The 2 triangles are similar so their corresponding sides are in same ratio.
The sides BA and CD are collinear so theire slopes are the same.
Slope of BA = rise/run = 2/3 so slope of DC is also 2/3.
Using the least common denominator rename 3/5 and 1/20
Answer:
12/20 and 1/20.
Step-by-step explanation:
The least common denomiator between 3/5 and 1/20 is 20.
For the first equation, we multiply the numerator and denominator by 4 to get 12/20.
The second equation's denominator is already 1/20, so we can leave it as is.
The final answer is 12/20 and 1/20.
slove and I will give you a best anwser thing
Answer:
Below:
Step-by-step explanation:
When finding the power of a power, simplify the expression by multiplying the exponents
[tex]a^{m^n} =m^m^n[/tex]
12^4^-5 = [tex]12^{4*-5[/tex][tex]=12^-20=\frac{1}{12^{20}}[/tex]
[tex](-3)^{72}[/tex]
Two consecutive numbers with a sum of 775. What is the value of each of the two numbers?
Answer:
387 and 388
Step-by-step explanation:
775 / 2 = 387.5
387 and 388
Find the explicit formula for an arithmetic sequence with a common difference of 8 and whose first term is -2.
The explicit formula of the sequence is aₙ = -10 + 8n
How to determine the explicit formula of the sequence?From the question, we have the following sequence that can be used in our computation:
The first term and the common difference
These values of the first term and the common difference are given as
First term = -2
Common difference = 8
The interpretation of the above sequence is that the 8 is added to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ + 8
When represented explicitly, we have
aₙ = a + (n - 1) * d
Where
a = -2 and d = 8
Substitute the known values in the above equation, so, we have the following representation
aₙ = -2 + (n - 1) * 8
Evaluate the products
aₙ = -2 + 8n - 8
Evaluate the like terms
aₙ = -10 + 8n
Hence, the explicit formula is aₙ = -10 + 8n
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How long is the stage?
Answer:
44 div by 4 = 11
the answer is 11
Step-by-step explanation:
Jessica works 7 days a week at an internship in Paris, France. She makes 70 Euros per day. When she comes back to America she needs to know how many dollars per week she was making. What is the correct amount? ( 1 Euro = 1.17 dollars)
A. $573.30/week
B. $335.65/week
C. $479.50/week
D. $357.66/week
Answer: D
Step-by-step explanation:
i got this question before
Each root of x^2 - bx + c = 0 is decreased by 2. The resulting equation is x^2 - 2x + 1 = 0, then
(a) b= 6 , c = 9 (b) b = 3 , c = 5
(c) b=2 , c = -1 (d) b = -4 , c = 3
When the root of x²-bx+c = 0 is decreased by 2, the resulting equation is x²-2x+1, then b = 2 and c = 1
What is root of quadratic equation?The values of variables satisfying the given quadratic equation are called its roots.
if the roots of a quadratic equation ax²+bx+c = 0 are alpha and beta
alpha + beta = -b/a and
alpha × beta = c/a
when the roots are reduced by 2
alpha-2+ beta-2 = -b/a
(alpha+beta)-4 = -b/a
alpha+ Bata = -b/a + 4
the resulting equation is x²-2x+1 = 0
a = 1, b = -2 and c = 1
therefore alpha +beta = -b/a = -(-2)/1 = 2
therefore 2 = -b/a+4
a = 1
2 = -b+4
b = 4-2 = 2
alpha×beta = c/a = 1/1
(alpha -2)× ( beta -2) = (alpha)( beta) -2(alpha+beta) + 4 = 1-2(2)+4 = 1
therefore b = 2 , c = 1
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|a-5|, if a>5
Please help me
Answer:
answer is just a-5
Step-by-step explanation:
its is a-5 without absolute value
can someone solve this for me using pemdas
Answer:
24
Step-by-step explanation:
(25-10) ÷ 5 × 8
15 ÷ 5 × 8
3 × 8
24
Answer:
24
Step-by-step explanation:
Any work inside parentheses must be done first: (5^2 - 10). Also:
Exponentiation is done before addition/subtraction: 5^2 - 10 = 25 - 10 = 15
So now we have 15 / 5 * 2^3 and recognize exponentiation again:
15 / 5 * 8
Then, since multiplication and division have the same order of priority,
carry out the division in 15/5 and then multiply the result (3) by 8
to obtain 24 (final answer)
What is the answer of 7 to the power of 2?
The answer to 7 to the power of 2 is 49.
This is because when a number is raised to a power, it means that it is multiplied by itself that number of times. 7 to the power of 2 is 7 multiplied by itself 2 times, which is 7 x 7, which equals 49.
An expression known as "power" denotes the process of repeatedly multiplying a value or integer. An is often a power where n is the exponent and an is the base.
As an illustration, the power 63 demonstrates how three times the number 6 is multiplied.
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3x + 50 = 5x - 2
Find x
Answer:
50=2x-2
52=2x
26=x
hope this helps
have a good day :)
Step-by-step explanation:
anna bought 20 christmas raffle tickets in her school. Her school sold 1500 tickets in all. What is the probability of the winning chances of anna?
The probability of Anna winning chances of buying 20 ticket out of 1500 tickets is 0.013.
What is probability?Probability simply means possibility. It deals with how likely something is to happen.
Therefore,
p(A) = number of favorable outcomes to A / total number of outcome
Hence,
Number of ticket bought by Anna = 20
Total ticket sold = 1500
Therefore,
probability of the winning chances of Anna = 20 / 1500
probability of the winning chances of Anna = 2 / 150
probability of the winning chances of Anna = 1 / 75
probability of the winning chances of Anna = 0.013
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PLEASE HELP I NEED U > I BEGG
Answer: I think 48 degrees
Step-by-step explanation: they are both diagonal
hope this helps, have a great day!! :D
Answer:
It is also 48
Step-by-step explanation:
1 and 3 are vertical to each other therefore their degree is both the same.
Find the area of the following trapezoids b1=8 cm, b2=15 cm, h=11 cm
Answer:
126.5 cm2
Step-by-step explanation:
First, the equation to find the area of a trapezoid is A= 1/2(b1 + b2)h , where b1 is the first length and b2 is the second length and h is the height. For these measurements, you would simply factor them into the equation- A= 1/2(8 + 15)11. Then using pemdas, 8+15= 23... multiplied by 1/2 equalling 11.5. Then multiply 11.5 by 11 to get your answer of 126.5 then add the units.
In triangle JKL, tan(bº) = 3/4
and sin(bº) = 3/5. If triangle JKL is dilated by a scale factor of 3, what is cos(bº)?
bº
If triangle JKL is dilated by a scale factor of 3,cos(bº)=4/5.
Define trigonometric ratio.Trigonometric By definition, ratios are the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Why trigonometric identities are used?If you know the lengths of two of the triangle's sides, you can use trigonometric ratios to get the measurements of one (or both) of the acute angles.
tan(b)=P/B=3/4
sin(b)=P/H=3/5
cos(b)=B/H= To find
B=4, H=5
cos(b)=4/5
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I will give u brainliest if u can help me plz
Answer:
a. Volume 120km^2
Surface area 168km^2
Step-by-step explanation:
I need help on finding x , please someone help!?
Answer:
30 degrees - its been a minute since I done that type of math
300 g of an unknown radioactive substance decays to 112 g after 180 seconds. What is the half-life of this substance?
ight now that the noobs are gone, any late nigh peeps still awake?