Answer:
The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done
Step-by-step explanation:
Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle
Area of regular hexagon ABCDEF with side [tex]x[/tex]
[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]
Area of regular hexagon FGHIJK with side [tex]px[/tex]
[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]
Area of shaded region
[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]
write the ratio as a fraction in simple form 14 boxes:8 boxes
What is the answer to -6n^2 - 5n - 7 = -8
Answer:
n = [tex]\frac{1}{3}[/tex] , n = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6n² - 5n - 7 = - 8 ( add 8 to both sides )
6n² - 5n + 1 = 0 ← in standard form
Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × 1 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the n- term
6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )
3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term
(2n - 1)(3n - 1) = 0 ← in factored form
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = [tex]\frac{1}{3}[/tex]
2n - 1 = 0 ⇒ 2n = 1 ⇒ n = [tex]\frac{1}{2}[/tex]
An item is regularly priced at $35. It is now priced at a discount of 55% off the regular price. What is the new price?
Find the area of the cuboid.
Answer:
32
Step-by-step explanation:
area=2(lb+bh+lh)
2(3×2+3×2+2×2)
2(6+6+4)
2(16)
=32
Bus route A arrives at its stop every 15 minutes. Bus route B arrives at its stop across the street every 30 minutes. If both buses are currently arriving at their stops, how many hours will pass before both buses arrive at the same time?
Answer:
2 stops, 30 min
Step-by-step explanation:
to figure this out we have to divide B's time by A's time. 30÷15 is 2.
Decide whether each set of side lengths could form a valid triangle: (6,8,9), (3,8,5), (4,9,14).
What is the slope of the line that passes through the points (-3, 3)(−3,3) and (-21, 18) ?(−21,18)? Write your answer in simplest form.
Answer:
-5/6
Step-by-step explanation:
to find the slope between to lines we can subtract the second y by the first y and subtract the second x by the first x and dividing them by each other
(18 - 3) / (-21 + 3)
minusing a negative is basically adding
after subtracting them you get this
15 / -18
then reduce
-5/6
the slope is -5/6
Answer based on the information.
1)find the length of DC
2)find the magnitude of ABE
3)find the magnitude of ADC
4)find the magnitude of BCD
Answer:
01)05
02)45°
03)120°
04)60°
Step-by-step explanation:
Have a great day!
How do I find the scale factor‼️‼️
Answer:
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
$800 at 9% per year for 1 year
Answer:
The answer should be 72.
Step-by-step explanation:
You're finding the interest earned. I = Prt, I for simple interest, P for principal, r for rate, and t for time.
Substitute p for $800, r for 9%, and t for is 1 year.
You would multiply these three numbers together.
$800(0.09)(1) should give you 72.
150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?
Answer:
150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?
Answer:
Less than 100? YES
Step-by-step explanation:
150% of 45 less than 100, greater than 100 but less than 150, or greater than 150?
"150% of 45 "
150% (45)
1.5*(45) = 67.5
Less than 100? YES
Greater than 100 but less than 150 NO
Greater than 150? NO
Emily is eating her colored candies in the following pattern: one green, one blue, one red , one orange, one brown, one green, one blue, and so on. If this pattern continues, the 27 candy she eats will be what color?
Answer:
blue
Step-by-step explanation:
a b c d e
1 2 3 4 5
27-25=2
so b, or blue
Find the percent change from the first value to the second. Tell if it a decrease or
increase.
36: 63______;_______
equation of the line that passes through (7,-1) and (-3,-1)
Answer:
y = - 1
Step-by-step explanation:
Note the y- coordinates of both points are equal, both - 1
This indicates the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (7, - 1 ) and (- 3, - 1 ) with y- coordinates - 1 , then
y = - 1 ← equation of line
(5a^3-2)(5a^3+2) expand and combine like terms
Step-by-step explanation:
(5a³-2)(5a³+2)
5a³×5a³+ 5a³×2 - 2× 5a³+ 5a³×2 5a³+10a³- 10a³ + 10a³5a³+10a³ + 10a³-10a³15a³ Answer*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*
In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)
(solve using substitution method. MUST SHOW WORK)
There are 23 sharks and 7 octopi in the aquarium
Let the number of sharks in the aquarium be xLet the number of octopi in the tank be y
If the total number of animals in the tank is 30, therefore;
x + y = 30 ....................... 1If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:
5x + 8y = 171 ................ 2From equation 1, x = 30 - y ................... 3
Substitute equation 3 into 2 to have:
5(30-y) + 8y = 171
150 - 5y + 8y = 171
3y = 171 - 150
3y = 21
y = 7
Recall that x = 30 - y
x = 30 - 7
x = 23
Hence there are 23 sharks and 7 octopi in the aquarium
Learn more on simultaneous equation here: https://brainly.com/question/148035
3y-2x-4x+5x+7
please help meeeeeeeeeeee
Answer:
3y-2x-4x+5x+7
please help meeeeeeeeeeee
[tex]3y-2x-4x+5x+7\\\\=3y-x+7[/tex]
A restaurant customer left $2.60 as a tip. The tax 6% was and the tip was 20% of the cost including tax.
a. Which information is not needed to compute the bill after tax and tip?
b. What was the total bill?
Based on the tip left and its proportion of the total bill, the following answers are true:
a. The tax rate is not needed to compute the after tax and tip bill b. The total bill is $13.00A tip of $2.60 was left and this is said to be 20% of the bill including the tax.
The total bill is therefore:
Tip = Total bill x 20%
2.60 = Total bill x 20%
Total bill = 2.60 / 20%
= $13.00
We can see that the tax rate was not needed to compute the total bill.
In conclusion, the tax rate was irrelevant and the total bill was $13.00.
Find out more about taxes and tips in bills at https://brainly.com/question/24976122.
Identify the slope and y-intercept of the function y = –8x + 1. A. The slope is 8. The y-intercept is (0, 1). B. The slope is –8. The y-intercept is (0, 1). C.The slope is 1. The y-intercept is (0, 8). D. The slope is 1. The y-intercept is (0, –8).
Answer:
b
Step-by-step explanation:
-8 Is the slope and yintecept is 0,1
Need someone to help me with this
a) 9 b) 10 c) 12 d) 15
will give brainliest plz help
[tex]y = \frac{x}{2} [/tex]
[tex]2x + 2y = \sqrt{180} \\ = > 2x + 2( \frac{x}{2} ) = \sqrt{180} \\ = > 2x + x = \sqrt{2 \times 2 \times 3 \times 3 \times 5} \\ = > 3x = 2 \times 3\sqrt{5} \\ = > 3x = 6 \sqrt{5} \\ = > x = \frac{6 \sqrt{5} }{3} \\ = > x = 2 \sqrt{5} [/tex]
[tex]x.y \\ = x \times \frac{x}{2} \\ = \frac{ {x}^{2} }{2} \\ = \frac{ {(2 \sqrt{5} )}^{2} }{2} \\ = \frac{4 \times 5}{2} \\ = \frac{20}{2} \\ = 10[/tex]
Answer:
10
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
b
Step-by-step explanation:
Given
2x + 2y = [tex]\sqrt{180}[/tex] = [tex]\sqrt{36(5)}[/tex] = 6[tex]\sqrt{5}[/tex]
and y = [tex]\frac{x}{2}[/tex] , then
2x + (2 × [tex]\frac{x}{2}[/tex] ) = 6[tex]\sqrt{5}[/tex]
2x + x = 6[tex]\sqrt{5}[/tex]
3x = 6[tex]\sqrt{5}[/tex] ( divide both sides by 3 )
x = 2[tex]\sqrt{5}[/tex]
and y = [tex]\frac{2\sqrt{5} }{2}[/tex] = [tex]\sqrt{5}[/tex]
Then
xy = 2[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 2 × 5 = 10 → b
Which congruence criteria is met in the following scenario
HL
AAS
SAS
ASA
SSS
Answer: SAS
Because there is a mark showing that one pair of sides are congruent, the stars showing that one pair of angles are congruent, then the triangles are sharing a line (which means that they are congruent)
school X and school Y had a competition, school X had 8 more points than Y. school X has 3 times as many points as school Y. how many points does each school have?
Answer:
the answer is X=12 Y=4
Step-by-step explanation:
X is 3 times the amount of Y and also 8 more. 4x3=12 and 12 is 8 bigger than 4
1 6. ) b) The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? Plzz help me
Answer:
Solution given:
weight of moon=1/6 th of Earth
If weight of Earth is 18/5 kg
weight of moon=?
we have
weight of moon: 1/6 of weight of Earth
=1/6*18/5
=3/5kg
Its weight on moon is 3/5 kg
You guys can write a story or a situation that can be represented by the given equation.
4a + 5 = 12a - 11
Thank you :)
Answer: Situation:
Step-by-step explanation:
You are walking in a grocery store and you see a nice deal saying that if you buy 4 batches of 2 bananas, you will get 5 extra bananas free of charge. However you see in another store that for the same price, you can buy 12 batches of 2 bananas but 11 of them are always bad and are needed to be thrown out. You calculate which deal is better and you decide on the first one because you hate stinking bananas. Hope this helps!
:)
anybody help please hm
Answer:
1
Step-by-step explanation:
if you use a calculator, it will come up as 1. I don't know why, but it does.
Hope this helps!
Which numbers between 10 and 99 have digits that differ by 4 and add to 6
Answer:
A
Step-by-step explanation:
Correct option is A)
Let a 3-digit number ABC
Case (1)
If A=7, then B and C can be any digit but not 7
so, total 9 digits (0,1,2,3,4,5,6,8,9) can replace B and C
Then total such combinations =1(9)(9)=81
Case (2)
If B=7 then A can be any digit but not 0 and 7, because if A=0 it will be a 2-digit number.
And C can be any digit but not 7
Then total combinations =(8)(1)(9)=72
Case (3)
If C=7 then A can be any digit but not 0 and 7, because if A=0 it will be a 2-digit number.
And B can be any digit but not 7
Then total combinations =(8)(9)(1)=72
So, total numbers between 99 and 1000 which have exactly one of their digits as 7 are =81+72+72=225
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
B,D,E
Step-by-step explanation:
17.31 x____=173.1 decimal math
10.
Step-by-step explanation:In order to find the missing value, we need to divide 173.1, by 17.31:
173.1 / 17.31 = 10
Dividing the product (173.1) by one value in the equation (17.31) can represent what the missing value is, in order for 17.31 to equal 173.1
Check:
17.31 · 10 = 173.1
173.1 / 10 = 17.31
When is f(x) when x=-5
Answer:
f is equivalent to 15 and when you replace x with -5 you will have to multiply 15×(-5) and you will get -75 as an overall answer.