Answer: The correct answer is c.
Step-by-step explanation:
You take the area of the square which is 20x20 = 400.
There is 5 squares 400x5 = 2000
There is 4 triangles--which is 1/2 the area of 1 square (In this case).
One triangle = 200
200x4 = 800
2000 + 800 = 2800
Image attached: geometry
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Explanation:
For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure
exterior angle = 40
We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180
interior angle = 180-(exterior angle) = 180-40 = 140
This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.
--------------------
side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.
Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY HAVE 20 MINUTES
Answer:x=8 Y=-6
Step-by-step explanation:
14-2.5x=1.5x-18
+18. +18
32-2.5x=1.5x
+2.5x =2.5x
32= 4x
Divide 4 to both sides you get
8=x
Y=14-2.5(8)
Y=14-20
Y=-6
The graph shows the speed of Sam's car over time.
Which best describes what is happening in section C?
Speed of Car
His car is stopped.
His car is speeding up.
His car is slowing down.
His car is traveling at a constant speed.
Answer:
Its C
Step-by-step explanation:
The statement which best describes what is happening in section C is His car is slowing down.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
The graph is attached below.
There are 4 sections on the graph.
In the section A, the car is speeding up since the speed is increasing as the time increases.
In the section B, the speed is constant as the time increases. This means his car is traveling at a constant speed.
In the section C, speed is decreasing with time. So the car is slowing down.
In the section D again the car travels at a constant speed.
Hence in section C, car is slowing down.
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what's the slope of a line that passes through (-8,-16) and (18,5)?
Answer:
C. 21/26
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in our coordinates:
m = (5 + 16)/(18 + 8)
m = 21/26
Answer:
C. 21/26
Step-by-step explanation:
Slope is determined by the change (or difference) in the y-coordinates divided by the change (or difference) in the x-coordinates.
Here, our y-coordinates are -16 and 5, so:
5 - (-16) = 5 + 16 = 21
Our x-coordinates are -8 and 18, so:
18 - (-8) = 18 + 8 = 26
Now, we divide: 21/26.
The answer is thus C.
~ an aesthetics lover
Which of the following functions best describes this graph
Answer: its c i took the test
Step-by-step explanation:
What is 4.3 as a fraction in simplest form
Help please!!!!!!!!!!! Due tomorrow
Answer:
x = 20
Step-by-step explanation:
Perimeter = Sum of all sides
Perimeter = (x+4)+(4x)+10x-(10)
Where Perimeter = 294 in.
294 = 15x-6
15x = 294+6
15x = 300
Dividing both sides by 15
=> x = 20
Ok so,
15x-6=your perimeter
15x-6=294
15x=300
300 divided by 15= 20
so x=20
substitute in your values and you should have an answer :)
20 POINTS AND BRAINLIEST! There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. A) How many ways can we choose three states to be represented?
Answer:
A) 19,600
Step-by-step explanation:
A) How many ways can we choose three states to be represented?
To solve for the above question, we would be using the Combination formula
The combination formula is given as:
C(n , r) = nCr = n!/r! (n - r)!
Where n = 50
We are told that we are to make a 3-Senator committee in which no two members are from the same state. So,
r = 3 ( senator committee)
nCr = n!/r! (n - r)!
50C3 = 50! / 3! (50 - 3)!
50C3 = 50! / 3! × 47!
50C3 = 19,600
Therefore, the number of ways can we choose three states to be represented is 19,600 ways.
Explain what is the 7th term in the geometric sequence described by this explicit formula? A.-2187 B.6561 C.-6561 D.2187
Answer:
the answer is d
Step-by-step explanation:
A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive. What is the probability that the first two digits in the string are a 4 and a 2 , in that order?
Answer: 0.01.
Step-by-step explanation:
Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.
i.e. each place in 5 digit number has 10 choices.
Total ways to make such a number = [tex]10^5=100000[/tex].
If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000 [as 4 and 2 can be put on first and second place in 1 way ]
Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]
Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.
Which triangle is a regular polygon? right triangle equilateral triangle scalene triangle obtuse triangle
Answer:
Step-by-step explanation:
In a regular polygon, all sides and angles are equal.
So, an equilateral triangle is an example for regular polygon
Answer:
equilateral triangle should be the correct answer
Step-by-step explanation:
Consider the quadratic function f(x) =
3x2–5x + 12. Which statements are true about the function and its
graph? Select three options.
Answer:
A, B, D
Step-by-step explanation:
Multiply the following using the vertical multiplication method:
3x2 + 5x + 1
x x2 - 2x + 4
Answer:
Step-by-step explanation:
the answer is b
The product of the given polynomials is 3x⁴-x³+3x²+18x+4. Therefore, option B is the correct answer.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
The given expression are 3x² + 5x + 1 and x² - 2x + 4
Now,
3x² + 5x + 1
× x² - 2x + 4
__________
12x²+20x+4
-6x³-10x²-2x
3x⁴+5x³+x²
_______________
3x⁴-x³+3x²+18x+4
Therefore, option B is the correct answer.
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Why is 2i * -2i equal to 4, and not -4i?
Answer:
see below
Step-by-step explanation:
2i * -2i = -4 i^2
We know that i^2 = -1
= -4 * -1
= 4
It is not equal to -4i because we need to multiply i*i which is i^2 not i
Answer:
The answer is 4 (working below), It is not [tex]-4i[/tex] because [tex]i \times i = i^2[/tex].
Step-by-step explanation:
[tex]2i \times -2i[/tex]
Multiply.
[tex]2 \times i \times -2 \times i[/tex]
[tex]-4i^2[/tex]
Apply : [tex]i^2 = -1[/tex]
[tex]-4(-1)[/tex]
[tex]=4[/tex]
Which statement is true? All quadrilaterals have at least 1 pair of parallel sides. Parallelograms have 2 pairs of congruent angles. A rhombus is a rectangle. A trapezoid is a parallelogram.
Answer:
PARALLELOGRAM have 2 pairs of congruent angles
Step-by-step explanation:
QUADRILATERALS have one pair of parallel lines. If it has two sets, it NOW become a PARALLELOGRAM.
The statement first is All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.
What is quadrilateral?A figure enclosed by the four sides and the sum of all the angles are equal to 360.
Properties of a quadrilateral are:-
A quadrilateral has four sides (edges)
A quadrilateral has four vertices (corners)
A quadrilateral has interior angles that add to 360 degrees:
Types of quadrilateral are square, rectangle, rhombus, trapezoid, and parallelogram.
So here All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.
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Suppose that y varies directly as x. When x is 7, y is 2. Solve for y when x is 63. (Enter an exact number.)
Simplify square root of negative 100 . (2 points) A. −10 B. −10i C. 10i D. 10
Answer:
C. 10i
Step-by-step explanation:
I took the quiz and got a 100%
By Simplify square root of negative 100 we get the answer is C (10i).
What is simplification of an expression?
Usually, simplification involves proceeding with the pending operations in the expression.
A Simplification usually involves making the expression simple and easy to use later.
We have the expression:
√-100
Rewriting this yields:
[tex]=\sqrt{-1\cdot100}\\\\=\sqrt{-1}\cdot\sqrt{100}\\\\=i\sqrt{100}=10i[/tex]
Therefore, By Simplify square root of negative 100 we get the answer is C (10i).
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Put the following numbers in order from greatest to least 7 030 400, 70 000 200, 78 330, 790 300, 709 400, 70 800
Answer:
70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800
Step-by-step explanation:
Greatest is always the number with the most digits.
Answer:
70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800
Step-by-step explanation:
To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.
[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]
What is pm ⋅ pn equal to?
Answer:
p^2 pm pn mn
Step-by-step explanation:
Using the FOIL Method we get this result
p * p
p * n
p * m
m * n
what is 1 1/16 rounded to the nearest half? ( need answer now please)
Answer:
1
Step-by-step explanation:
Halves:
0
0.5
1
1.5
2
1 1/16 = 1.0625
1.0625 is between 1 and 1.5, but it is much closer to 1 than to 1.5, so answer is 1
If F(x) =5x/3 +5
+5, which of the following is the inverse of F(x)?
O A. F'(x) = 5(x+5)
3
O B. F'(x) = 3(x+5)
5
C. F1(x) = 5(x-5)
O D. F'(x) = 3(-5)
Answer:
[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
Step-by-step explanation:
[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
The inverse of the linear function, f(x), f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is f⁻¹(x) = 3 (x -5) / 5
What is the inverse of a function?The inverse of a function is a function that reverses the effect the original function.
Here, we have,
The original function is; f(x) =5x/3 +5
The inverse of f(x) can therefore be found by making x the subject of the equation as follows;
f(x) = 5x/3 +5
f(x) -5 = 5x/3
(f(x) -5) 3 = 5·x
x = (f(x) -5) 3 / 5
x = 3 (f(x) -5) / 5
Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;
f⁻¹(x) = 3 ((x) -5) / 5
f⁻¹(x) = 3 (x -5) / 5
The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.
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Given the equation y ^2 − 4y = 3, what constant must be added to both sides so the left side is the square of a binomial?
Answer:
4
Step-by-step explanation:
y² − 4y = 3
y² - 2*2*y =3
y² - 2*2*y + 2² = 3 + 2²
(y - 2)² = 3 + 4
The length of a rectangle is three times its width.
The perimeter of the rectangle is 24cm
Calculate the area
Area of a rectangle is 27 cm²
Given:
Perimeter of a rectangle = 24 cm
Length = 3x
Width = x
p = 2(l + w)
24 = 2(3x + x)
24 = 6x + 2x
24 = 8x
24/8 = x
3 = x
Width = 3 cm ; Length = 3x = 3(3) = 9 cm
Area = length * width
= 9cm * 3 cm
Area = 27 cm²
Answer:
Area of a rectangle is 27 cm²
Step-by-step explanation:
a bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies. How many cups os oats are required per pound of cookies?
Answer: 7/5 or 1 2/5
Step-by-step explanation:
Ok so the bakery uses 3 3/5 cups cups of oats for 2 4/7 POUNDS of cookies.
You need to find the unit price.
So to get from 2 4/7 to 1, you need to divide 2 4/7 by 2 4/7
You need to do the same thing to 3 3/5 cups.
3 3/5 as an improper fraction is 18/5
2 4/7 as an improper fraction is 18/7
Now to divide you need to keep, change, and flip
keep the 18/5, change the sign to multiplycation, and flip the 18/7 to 7/18
18/5*7/18=7/5
7/5 or 1 2/5 pounds of outs are required to make 1 pound of oatmeal cookies
The total number of cups of oats are required per pound of cookies is 7/5 and this can be determined by using the unitary method.
Given :
A bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies.
The following steps can be used in order to determine the total number of cups of oats are required per pound of cookies:
Step 1 - The unitary method can be used in order to determine the total number of cups of oats are required per pound of cookies.
Step 2 - According to the given data, a bakery uses 18/5 cups of oats to make 18/7 pounds of oatmeal cookies.
Step 3 - So, the total number of cups of oats are required per pound of cookies is:
[tex]=\dfrac{\dfrac{18}{5}}{\dfrac{18}{7}}[/tex]
Step 4 - Simplify the above expression.
= 7/5 cups/pound
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simplify -9/6 divided by 3/-2. A: 3 B: 1 C: -1 D: -3
Answer:
B. 1
Step-by-step explanation:
-9/6 ÷ 3/-2
Reciprocal and it becomes multiplication.
-9/6 × -2/3
Multiply the fractions.
18/18
= 1
Answer:
1 is the answerStep-by-step explanation:
-9/6/3/-2
Made the second number the reciprocal =
-9/6 / -2/3
Switch the sign to a multiplication sign =
-9/6 * -2/3
Simplify the numerator =
-9*-2 = 18
Simplify the denominator =
3*6 = 18
Place the numerator and denominator together =
18/18
Simplify the answer =
18/18 = 1
Hope this helped,
Kavitha
Which of the following is equivalent to
Answer:
d
Step-by-step explanation:
reciprocal theorem or whatever states that instead of dividing just flip and change sign to multiply
A hot air balloon holds 74,000 m3 of helium. The density of helium is 0.1785 kg/m3. What’s the mass of the helium inside the balloon when it’s full? ANSWERS: 6,529 kg 414,565 kg 740 kg 13,209 kg
Does anyone know this need help! Thanks!
the formula for the circumference of a cirlce is πd. the diameter is 2r which in this case is 0.5. therefore the circumference is 0.5π, or 1.5708 (rounded)
Answer:
C= 157
Step-by-step explanation:
The formula for the circumference of a circle is 2 · pi · r (radius)
So your problem would look something like this:
C= 2 · pi · r
C= 2 · 3.14 · 25
C= 157 in.
What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
Answer:
-6634
Step-by-step explanation:
(5m)² - (2n-3m)³ if m=-3 and n=5
= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3
= (-15)^2 - (10 - (-9))^3
= 225 - (19)^3
= 225 - 6859
= -6634
what pattern exists in each period of 356,039?
Answer:
1/1
Step-by-step explanation:
because that is it