Answer:
8 weeks
Step-by-step explanation:
Archeologists discover four outer walls of an ancient building, as shown.
If the missing walls are the same lengths as the discovered walls, how many
sides did the original building have? Explain.
15 sides
It’s the right answer
The number of sides that the original building has will be 15 sides.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The measure of the exterior angle is given as,
Exterior angle = 180° - Interior angle
Exterior angle = 180° - 156°
Exterior angle = 24°
The total number of sides of the polygon will be given as,
Exterior angle = 360° / (Number of sides)
24° = 360° / n
n = 360° / 24°
n = 15
The number of sides that the original building has will be 15 sides.
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The complete question is given below.
Solve this equation:
5x^4+ 50x^2 +80=0
Answer:
x =√-1.403 = 0.0 - 1.18454 i
x =√-1.403 = 0.0 + 1.18454 i
x =√11.403 = -3.37685
x =√11.403 = 3.37685
Step-by-step explanation: i think either one of these could work
hope i could help :)
Need help with this khan academy question. Plus minus square root of negative nine equals plus or minus
Answer:
3i
Step-by-step explanation:
3i x 3i = -9
-3i x -3i = -9
Therefore the square root of -9 is 3i or -3i
The simplified radical expression ±√(-9) is ±3i
The expression ±√(-9) involves finding the square root of a negative number. In the real number system, this is not possible, as no real number multiplied by itself will result in a negative value. To overcome this limitation, mathematicians introduced the concept of imaginary numbers. The imaginary unit, denoted by 'i,' is defined as √(-1).
Now, let's simplify the expression ±√(-9) step by step:
Step 1: Begin by recognizing that √(-9) is the square root of -9.
Step 2: Since √(-1) is 'i,' we can rewrite √(-9) as √(9) * √(-1).
Step 3: The square root of 9 (√9) is 3.
Step 4: Replace √(-1) with 'i.'
Step 5: The final result is 3i.
Therefore, the simplified form of ±√(-9) is ±3i.
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Kimberly makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of her conjecture?
Answer:
third choice : Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
You’re welcome ;)
Who can tell me the answer quick?
Answer:
B
Step-by-step explanation:
Find the perimeter of the figure to the nearest hundredth.
Answer:
Perimeter of figure is 31.85 inches
Step-by-step explanation:
We have a rectangle and semi-circle in the figure.
First we will find perimeter of rectangle and semicircle and add them to find perimeter of rectangle.
First find perimeter of rectangle
The formula used is: [tex]Perimeter\: of\: rectangle=2(length+width)[/tex]
We have width = 7 in
length = 5 in
The perimeter is:
[tex]Perimeter\: of\: rectangle=2(length+width)\\Perimeter\: of\: rectangle=2(5+7)\\Perimeter\: of\: rectangle=2(12)\\Perimeter\: of\: rectangle=24\:in[/tex]
The perimeter of rectangle = 24 in
Now, finding perimeter of semi-circle
The formula used is: [tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}[/tex]
Wee have diameter d = 5 in
So, perimeter is:
[tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}\\Perimeter\: of\: semi-circle=\frac{3.14\times 5}{2}\\Perimeter\: of\: semi-circle=7.85\:in[/tex]
So, Perimeter of semi-circle= 7.85 in
Now, finding Perimeter of figure
Perimeter of figure = Perimeter of Rectangle + Perimeter of semi-circle
Perimeter of figure = 24 + 7.85
Perimeter of figure = 31.85 inches
So, Perimeter of figure is 31.85 inches
SIMPLIFY IT PHOTO IS UP I WILL MARK IT BRAINLIEST
Step-by-step explanation:
Notice that
9y² - 4xy + 4x²/9 = (3y - 2x/3)².
Therefore (9y² - 4xy + 4x²/9) / (3y - 2x/3)
= (3y - 2x/3).
Answer:
(9y²-4xy+4x²/9)/(3y-2x/3)
={(3y)²-2(3y)(2x/3)+(2x/3)²}/(3y-2x/3)
=(3y-2x/3)²/(3y-2x/3)
=(3y-2x/3)
(3y-2x/3) is the right answer.A specific type of financial instrument pays 15% simple interest (based on the purchase value) and lasts for 1.5 years. The instrument can be bought at any price. An investor purchases the instrument for P0, and has calculated that the total value of the investment (i.e. P0 plus interest earned) will be $4,000 at maturity.
Answer:
Correct answers:
$3265$
For this, we can use the formula
A=P0(1+rt).
We know that A=$4,000,r=15%=0.15 and t=1.5, so we can rearrange the formula for A to give
P0=A1+rt,
and substituting the known quantities gives
P0=$4,0001+0.15×1.5=$4,0001.225=$3,265.30..,
which is $3,265 to the nearest dollar.
Step-by-step explanation:
Answer:
Step-by-step explanation: For this, we can use the formula
A=P0(1+rt).
We know that A=$4,000,r=15%=0.15 and t=1.5, so we can rearrange the formula for A to give
P0=A1+rt,
and substituting the known quantities gives
P0=$4,0001+0.15×1.5=$4,0001.225=$3,265.30..,
which is $3,265 to the nearest dollar.
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.9 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 6.0 pounds/square inch. Assume the variance is known to be 0.36. A level of significance of 0.05 will be used. Determine the decision rule.
Answer:
Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance
There is a difference between the means
Step-by-step explanation:
Step(i):-
Given that mean of the Population = 5.9pounds/square inch
Given mean of the sample = 6.0pounds/square inch
Given that variance of the Population = 0.36
The standard deviation of the Population = √0.36 =0.6
critical value (Z₀.₀₅)= 1.96
Step(ii):-
Null Hypothesis:H₀: x⁻ = μ
Alternative Hypothesis:H₁: x⁻ ≠ μ
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }[/tex]
Z = 2.1097
Final answer:-
Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
There is a difference between the means
Find the area of this Parallelogram.
7x+3y=-21 in slope intercept form
Answer:
[tex]y= -\frac{7}{3}x -7[/tex]
Step-by-step explanation:
Answer:
y
=
−
7
3
x
−
7
Step-by-step explanation:
Brainliest?
Triangle PQR is similar to triangle XYZ
Select all angles that have a cosine of 9/15
Answer:
Step-by-step explanation:
All the angles that have a cosine of 9/15 are,
⇒ ∠P and ∠X
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Triangle PQR is similar to triangle XYZ.
Hence, We get;
In triangle PQR,
cos P = 9/15
And, In triangle XYZ,
cos X = XZ / ZY
cos X = 9 / 15
Thus, All the angles that have a cosine of 9/15 are,
⇒ ∠P and ∠X
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3
Add. Write the expression below in simplest form.
(-2x + 10) + (-8x - 1)
Answer:
The answer is -10x + 9
Step-by-step explanation:
Combine like terms.
-10x + 9
Hoped this helped!
Could I get brainly?
what is 18/7 reduced to the lowest term
Answer:
18/7
Step-by-step explanation:
You cannot simplify this any further.
Answer:
its 2 4/7
Step-by-step explanation:
If you mean simplifying it
Organizers of the town fair make a total of $706 from selling 164 hot dogs and 74 hamburgers at one of their concession stands. At their other concession stand, they make $884 by selling 256 hot dogs and 61 hamburgers. If the prices are the same at both concession stands, what is the price of a hot dog?
a. $0.04
b. $2.50
c. $3.75
d. $4.00
Answer is $2.50
How to solve system of two equations:
First of all, we should get one variable in terms of other variable in one equation and substitute this variable in another equation. And solving that we get two variables value.
If you have two different equations with the same two unknowns in each, you can solve for both unknowns. There are three common methods for solving: addition/subtraction, substitution, and graphing.
Here,
let's consider price of hot dogs = x and price of hamburgers = y
then, 164x + 74y = $706 --- ( 1 )
and 256x + 61y = $884 --- ( 2 )
Now, from eq - 1 we get x = ($706 - 74y) / 164
Substitute this x value in eq - 2,
256($706 - 74y)/164 + 61y = $884
=> $706*256 - 74y*256 + 61y*164 = $884 * 164
=> 180,736-8940y = 144,976
=> 180,736 - 144,976 = 8940y
=> 35,760/8940 = y
=> y = $4.
By substituting in eq - (1) we get x = $2.5
So, The price of hot dog = $2.5
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Answer:
$2.50
Step-by-step explanation:
Simplify the expression
Answer:
46-55i
Step-by-step explanation:
The number of visits to public libraries increased from 1.3 billion in 1998 to 1.5 billion in 2002. Find the average rate of change in the number of public library visits from 1998 to 2002.
Answer: The average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.
Step-by-step explanation:
Given: Number of visits in 1998 = 1.3 billion
Number of visits in 2002 = 1.5 billion
The average rate of change in the number of public library visits from 1998 to 2002 = [tex]\dfrac{\text{Number of visits in 2002 - Number of visits in 1998}}{2002-1998}[/tex]
[tex]=\dfrac{1.5-1.3}{4}\\\\=\dfrac{0.2}{4}\\\\= 0.05 \text{ billion per year.}[/tex]
Hence, the average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.
Quadrilateral ABCD has the following vertics:A( -3,0) B (7,2) C (1,-4) D (-9,-6) is Quadrilateral A B C D a parallelgram, and why?
Answer:
in my opinion I think it parallelogram because it has four sides which are A,B,C,D
The volume of water in a tank is 0.7 cubic meter. Write this volume in cubic centimeter
Answer:
11.47 in cubic centimeters
Step-by-step explanation:
Evaluate the expression
10^2 + (3+5)^2 - 5
Answer:
(2)(3) =6
Step-by-step explanation:
Answer:
the answer is 159. Brainliest?
Step-by-step explanation:
Can someone tell me how to do this?
Answer:
6w+32
Step-by-step explanation:
In what direction is a line with an undefined slope going?
A.
down and to the right
B.
horizontal
C.
vertical
D.
up and to the right
Answer:
I think it D-
I not that sure
Tom wants to order tickets online so that he and three of his friends can go together to a water park. The cost of the tickets is $16.00 per person. This is also a $2.50 one-time service fee for ordering tickets online. Write an expression in terms of n that represents the cost for ordering n tickets online,
Answer:
16n+2.50
Step-by-step explanation:
1.) Find out the distance covered when, speed is 960 km/hour and time is 1 hour 50 minutes.
2.) If distance travelled by a train is 495 km in 4 hours 30 minutes, what is its speed?
3.) A man runs at the speed of 10 km/hr. How much time will he take to cover 750 metres?
4.) Aaron ran 500 metre in 100 Seconds. Find the speed in km per hour.
5.) A cyclist travels at a speed of 20 km/hour. How far will he travels in 50 minutes?
Answer:
A: 1070 m
Solution:
based on the formula :
960km/h= x (the distance) / 1h50m
Answer:
Step-by-step
The rate of change is 150 km per minute.
The rate of change is 2.5 km per second. explanation:
??????????????????FAST HELP PLZ
Answer:
[tex]y = \frac{2}{3} x - 2 \\ [/tex]
Angela hiked 4 miles one day and 216 miles the next day. How many total miles did Angela hike?
Answer:
220
Step-by-step explanation:
216+4
The next day+ the first day=220
Tessa is training for her town's annual fun run. Today, she plans to run along a 1.55-mile loop trail in a nearby park. If Tessa wants to run a total of 3.1 miles, how many loops should she do?
Answer:
2 loops
Step-by-step explanation:
If Tessa wants to run a total of 3.1 miles, then she has to complete 2 loops.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
Tessa is training for her town's annual fun run.
Today, she plans to run along a 1.55-mile loop trail in a nearby park.
If Tessa wants to run a total of 3.1 miles.
Then the number of the loop will be
[tex]\rightarrow \dfrac{3.1}{1.55}\\\\\rightarrow 2[/tex]
Then the total number of the loops is 2.
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how much work is done when a girl pushes a lunch cart 15m across the cafeteria with a force of 3N
Answer:
45 J
Step-by-step explanation:
Just plugged into the work force formula got 45 jules
show that KLMN is a parallelogram
Solve this system of equations using substitution:
y = 2r-4
x + 2y = 10
Step 1: Substitute for y in the second equation. Which is the
resulting equation?