Answer:
What is the sum of the exterior angles in a regular 15-gon?
The sum of the exterior angles in any convex polygon, including a regular 15-gon, is 360∘.
Step-by-step explanation:
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Answer:
5 exterior angles.
Step-by-step explanation: since they all have to add to 360 you can divide 360/5 = 72. You can also check by adding one interior angle plus 72 and checking if you get 180.
1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
b) Solve G(x) = 0.
2) In the adjacent figure ABCD is a square:
a) Express the area of the square and the area
of triangle AEB in terms of x.
b) Calculate x so that the area of the square is equal
to 6 times the area of triangle AEB.
Answer:
In bold.
Step-by-step explanation:
a. (x+5)^2 – 3x(x+5) x+5 is common
= (x + 5)(x + 5 - 3x)
= (x + 5)(5 - 2x)
b. (x + 5)(5 - 2x) = 0
x = -5, 2.5.
2a. Area of the square = (x + 5)^2
Area of triangle AEB
= 1/2 * base * height
I am assuming that H is the centre of AB , so
Area = x*x
= x^2.
2b
6x^2 = (x + 5)^2
6x^2 = x^2 + 10x + 25
5x^2 - 10x - 25 = 0
x^2 - 2x - 5 = 0
x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2
x = -1.45, 3.45.
(we ignore the negative).
What is the value of x in the equation 6(x +11)= -300?
Answer:
-61
Step-by-step explanation:
We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.
What is the total cost of a $95.00 item with a sales tax of 6%?
Answer:
$100.7
Step-by-step explanation:
Total cost
= cost of item + amount of sales tax
= 95 + 6% of 95
= 95 + 0.06*95
= 95 + 5.7
= $100.7
Answer:
Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.
1.06 × $95.00 = $100.70
The object will cost $100.70.
Step-by-step explanation:
Credits to : Padoru
Check : https://brainly.com/question/14308615 to see their response
What is the missing number
Answer:
11/12
Step-by-step explanation:
9/11 x 11/12 = (3 x 3)/11 x 11/(3 x 4) = 3/4
Jonathan is shopping for a frame for a square painting. Each side measures 9.5 inches. What is the perimeter of the painting?
What is an equation of the line that passes through the point (-5, -1) and is
parallel to the line 4x + 5y = 45?
Answer:
y = -4/5 x - 5
Step-by-step explanation:
Solve the proportion (w+12)/(3w+5)=3/4
Answer:
[tex]w=6.6[/tex]
[tex]18.6:24.8::3:4[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\(w+12):(3w+5)::3:4\\By\ the\ proportion\ method\ of\ multiplying\ the\ means\ and\ the\ extremes,\\we\ get,\\(w+12)*4=3*(3w+5)\\4w+48=9w+15\\48-15=9w-4w\\33=5w\\[/tex]
[tex]w=33/5\\w=6.6[/tex]
[tex]By\ substituting\ the\ value\ of\ w\ in\ the\ proportion. you\ get:\\(6.6+12)/(3*6.6+5)=3/4\\18.6/24.8=3/4\\18.6:24.8::3:4[/tex]
How many terms are in this expression?
9+ 8d+b
45 girls tried out for the field hockey team. 20% of the girls who tried out did not make the team. How many girls did not make the team?
Answer:
9 girls
Step-by-step explanation:
total girls tried out = 45
did not make the team
= 20% of the girls
= 20/100 × 45
= 9 girls
0.75x - y = - 2.1
0.6y 2.4x +9
Answer:
4x-3
Step-by-step explanation:
Yea
Is it a, b, c, d, plz answer this
Answer:
d 4x^2 + 24x - 8
Step-by-step explanation:
Perimeter of the rectangle = 2x² - 5 + 12x + 1 + 2x² - 5 + 12x + 1
= (2x²+ 2x²) + (12x+ 12x) + (- 5 + 1 - 5 + 1)
= 4x² + 24x - 8
On a field trip ,there are 3 adults for every 45 students .which graph models a relationship with the same unit rate
Answer: bbb
Step-by-step explanation:
Combine like-terms of 6x-2x-2=-3x+4(x+7)
find the 66th term in the arithmetic sequence -92,-85,-78,-71,...
Salma used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy: Two irregular quadrilaterals ABCD and EFGH are drawn. EFGH is the photocopy of design ABCD. AB measures 15 meters, DC measures 17 meters. No dimensions are shown on EFGH. The ratio of AD:EH is 1:2. What is the length, in meters, of side GH on the photocopied image? 15 17 30 34
Answer:
The answer is 34
Step-by-step explanation:
The ratio of AD:EH is 1:2, so therefore the other line segments have the same ratio. Using this logic, we see that DC is equal to 17 m, and we need to find GH. All we do now is double the measurement of DC since the ratio of the two shapes is 1:2.
Therefore, 17 * 2 = 34
Answer:
34
Step-by-step explanation:
hope this helps
A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000. Which of the following is the most reasonable domain and range for the function?
Answer: x ≥0,y ≥3000
Step-by-step explanation:
that’s what i put and got it right so ♀️
The sum of three numbers is 76. The third number is eight less than the first. The second number is two times the third. What are the numbers?
Step-by-step explanation:
Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"
The numbers are 25, 34, and 17.
Let x be the first number, y be the second number, and z be the third number. We know that x + y + z = 76, z = x - 8, and y = 2z.
Substituting the second and third equations into the first equation, we get x + 2(x - 8) + (x - 8) = 76.
Simplifying the right side of the equation, we get 4x - 24 = 76.
Adding 24 to both sides of the equation, we get 4x = 100.
Dividing both sides of the equation by 4, we get x = 25.
Substituting x = 25 into the equation z = x - 8, we get z = 25 - 8 = 17.
Substituting x = 25 and z = 17 into the equation y = 2z, we get y = 2 * 17 = 34.
Therefore, the numbers are 25, 34, and 17.
To learn more about numbers here:
https://brainly.com/question/3589540
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Simplify: (5x2 - 9x + 3) + (4x2 + 4x - 12)
(1) 9x2 + 5x - 9
2) 9x2 - 5x + 15
3) 9x² - 5x-9
4) 9x2 - 13x - 9
Answer:
3) 9x² - 5x - 9
Step-by-step explanation:
Combine like terms
5x² - 9x + 3 + 4x² + 4x - 12 = 5x² + 4x² - 9x + 4x + 3 - 12
= 9x² - 5x - 9
what is 8 ÷ 2(2 + 2) = i have been stuck on this problem for 1 year now Halp !!!
will give brainliest for the right answer thats funny
Answer:
ok after reviewing this answer for the past 8 years i just figured it out
1(6)
Step-by-step explanation:
i know this may come as a huge shock however this is actually true. It's been a long emotionally journey finding this answer but please bear with me, as im crying really hard right now since I cannot believe I actually solved it. As unbelievable as it sounds I will not be providing work as i think my mind is too big and swag, but please believe me on this because im literally the kid genius
edit: ok just ran this through my totally not paid for calculator with my mcdonalds money but it is actually 16 i am literally deleteing my account this is so embarassing for me
Answer:
8÷2= 4 and (2+2)= 4 .....
Which interval on the graph could be described as linear constant?
A coordinate plane is shown. A line is horizontal from x equals 0 to 2, increases from 2 to 4, decreases from 4 to 5, and decreases at a slower rate from 5 to 8.
A
B
C
D
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A cube has a surface area of 600 square meters. What is its volume?
A.600 m³
B.300 m³
C.100 m³
D.1000 m³
Answer: D, 1000 m^3.
Step-by-step explanation: We can find the volume by breaking down the surface area.
The formula for the surface area of a cube is 6*x^2 with x being the side length and 6 being the number of sides. Thus we can form the equation as follows:
600 = 6*x^2 - original equation
x^2 = 100 - divide both sides by 6
x = 10 - square root both sides
Thus, the side length is 10.
We can find the volume with the formula l*w*h or, in this case, x^3.
We know that x = 10, so x^3 must be 1000.
Thus, the answer is D, 1000 m^3.
Answer:
give the other guy brainliest please
Step-by-step explanation:
and yes it is 1000
x
Equivalent ratios
ord
Select two ratios that are equivalent to 4: 18.
Please! Find the values of x,y and Z
Answer:
x = 24
y = 10
z = 17
Explanation:
It's long to explain, so heres a picture of how solved each. hope this helps!! :)
Help... it’s multiple choice math
Answer:
D
Step-by-step explanation:
This is equivalent to t < 4.
clearly this is not part of the set.
The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur
Answer:
The probability that event B will occur is 0.45
Step-by-step explanation:
Given;
probability that event A occurs, P(A) = 0.4
the probability that events A and B both occur, P(A ∩ B) = 0.25
the probability that either event A or event B occurs, P(A ∪ B) = 0.6
To determine the probability that event B will occur, we use probability addition rule;
P(A) + P(B) = P(A ∩ B) + P(A ∪ B)
0.4 + P(B) = 0.25 + 0.6
0.4 + P(B) = 0.85
P(B) = 0.85 - 0.4
P(B) = 0.45
Therefore, the probability that event B will occur is 0.45
Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive? If b represents the number of books each sibling receives, which equation could be used to solve the problem?
Answer:
9 books each
Step-by-step explanation:
27/3=9....A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are: (−1,0), (4,0), (2,4), and (7,4). How long is each side of the rhombus?
Answer:
Each side of the Rhombus is 5 units
Step-by-step explanation:
Since the sides of a rhombus area all equal in length;
Then, the length of a side is enough to get the lengths of the other sides
Mathematically, finding the distance between two points out of what we are given will be enough to get the measure of one of the side of the rhombus
We apply the distance formula appropriately to get the distance between the side of the Rhombus
D = √(x2-x1)^2 + (y2-y1)^2
let us use the points (-1,0) and (4,0)
D = √(4 + 1)^2 + (0-0)^2
D = √25
D = 5
At 6 weeks old, Tarik's beagle puppy weighed 2.4 kg. Now, the 18-week old puppy welghs 8.4 kg. Find the rate of change.
Answer:
0.5 kg/week
Step-by-step explanation:
rate of change = (change in weight)/(change in time)
rate of change = (8.4 kg - 2.4 kg)/(18 weeks - 6 weeks)
rate of change = 6 kg / 12 weeks
rate of change = 0.5 kg/week
There were 40 swimmers on the team last year. This year, there are 20 swimmers. What is the percent decrease?
i agree it should be 50%
Step-by-step explanation:
half of 40 is 20
(3,-2) (4,5)
m = [?]
Answer:
m = 7
Step-by-step explanation:
Use the slope formula.
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{5+2}{4-3}=\frac{7}{1}=\boxed{7}[/tex]
The slope is 7.
Hope this helps.
Answer:
m=7
Step-by-step explanation:
Slope is the change in Y over the change in X
The change in Y is 7
The change in X is 1
7/1 = 7