Work out the size of an exterior and an interior angle of a regular 16-sided
polygon.
Answer:
exterior angle: 22.5°, interior angle: 157.5°
Step-by-step explanation:
the formula for the measure of each Interior Angle in a regular polygon: [tex]\frac{180(n-2)}{n}[/tex], n = # of sides
=> [tex]\frac{180(16 - 2)}{16}[/tex] = 157.5°
the formula for the measure of each Exterior Angle in a regular polygon: [tex]\frac{360}{n}[/tex]
=> [tex]\frac{360}{16}[/tex] = 22.5°
A population of 2500 frogs increases exponentially at an annual rate of 25%. Which equation below best represents the population (P) in t years?
P=2500(0.25)^t
P=2500+0.25t
P=2500(0.75)^t
P=2500(1+0.25)^t
Answer:
P=2500(1+0.25)
Step-by-step explanation:
Given data
Initial population= 2500
Rate= 25%
The exponential increase is described using the expression
P=A(1+r)^t
Hence the correct representation is
P=2500(1+0.25)
What is 0.14 4 recurring as a fraction
Answer:
0.1414... in a fraction is 14/99
Step-by-step explanation:
Given the number 0.1414...
we have to represent the above in terms of fraction
Let x=0.1414.... → (1)
Multiplying by 100 on both sides
100x=14.1414.... → (2)
Subtract (1) from (2), we get
99x=14
x=14/99
hence, 0.1414... in a fraction is 14/99
What is the integer that is closer to the square root of 35
Which measurement is the best estimate of the area of the field in square feet? A:12717 B:8100 C:27176 D:19074
Answer: You forgot to include a photo
Step-by-step explanation:
WILL GIVE BRAINLIEST.
Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.
n an
1 4
2 −12
3 36
the summation of 4 times negative 3 n, from n equals 4 to 15
the summation of 4 times negative 3 n, from n equals 1 to 15
the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15
the summation of 4 times negative 3 to the n minus 1 power, from n equals 4 to 15
Answer:
option D
Step-by-step explanation:
Took the test
Answer: the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15 (option D)
Step-by-step explanation: I took the test and got it right :)
Find the shaded angle
Answer:
332°
Step-by-step explanation:
Given is an isosceles triangle,
Measures of base angles of an isosceles triangle are equal.
Therefore,
Measure of central angle
= 180° - ( 76° + 76°)
= 180° - 152°
= 28°
Measure of shaded angle
= 360° - 28°
= 332°
PLS HELP URGENT AND EASY (FIND AREA)
Answer:
72.26 cm²
total area = 145.49 cm²
small tri = 12.99cm²
large tri = 23.38 cm²
so shaded area = 145.49 -(2x12.99)-(2x23.88)=72.26cm²
What is the solution to the equation?
f(x)=3x-7 and g(x)=-2x-6. Find (fog)(4).
*Picture of Problem Below*
Answer:
-49
Step-by-step explanation:
fog=f(g(x))=3(-2x-6)-7=-6x-18-7=-6x-25=-6(4)-25=-49
Find the proportion.
A local school took a random sample of 500 students, in which 323 carried backpacks. Find the
proportion of students who carry backpacks with a 95% confidence interval. Round your answers to
the nearest hundredth.
Answer:
Step-by-step explanation:
11.3
Vinay bought a pizza and cut it into three pieces. When
he weighed the first piece he found that it was 7g lighter
than the second piece and 4g.heavier than the third piece.
If the whole pizza weighed 300g. How much did each of
the three pieces weigh?
(Hint: weight of first piece be 'x' then weight of second
piece is 'x + 7', weight of the third piece is 'x - 4')
Answer:
x + x + 7 + x -4 = 300
3x = 297
x = 99 First Piece
x2 = 106 Second Piece
x3 = 95 Third piece
Step-by-step explanation:
how do i figure out this equation 3(x+4)=-3
PLEASE HELP!! Write the equation on the line that matches the table.
What is 3 1/4 x( -12.2)
Also pls answer it asap
Answer:
-39.65
Step-by-step explanation:
3 1/4 ⋅ (-12.2)
First, we must change the first fraction to a decimal.
3 1/4 = 3.25.
Now, we just multiply using standard algorithm.
3.25 ⋅ (-12.2) = -39.65.
Anytime you multiply a positive number by a negative number, the answer will ALWAYS be negative.
Please tell me the answer to X. I really need your help. I'll even give you Brainliest if you give a proper answer with no download links. You should also give an explanation.
Answer:
6
Step-by-step explanation:
expand
x-7= 1/4x-10/4
3/4x=18/4
multiply 4 on both sides to get rid of the denominator
3x=18
x=6
check work by substituting
6-7= 1/4(6-10)
-1= 1/4(-4)
-1=-1
they are equal, so it's correct
Help please I need help
Answer:
EI SONA
Step-by-step explanation:
Someone help plz, plz make sure it’s right if it is will mark brainiest :)
Answer:
Step-by-step explanation:
I really don’t know but I think you have to find the hypothenuse first then you can do the rest
Answer:
Step-by-step explanation:
"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.
josiah pays $18 for a DVD that originally cost $20. what is the percent decrease in the cost of the DVD?
Answer:
It should be 10%
Why is the median better to represent the data of a stem and leaf plot? I NEED THE ANSWER NOW PLSSSS
Answer:
The median value is better because it is not affected by the skewness of the data
Step-by-step explanation:
The median is better in representing the data of a stem and leaf plot because the median value is not affected so much by outliers and skewness of the data. for example: for a downward skewed stem and leaf plot the value of the median is greater than the mean value
Hence the median value is a better representation of the central tendency
Can one of y’all help me pls
Answer:
D) x - 7 + 3
Step-by-step explanation:
gave sister = subtract
aunt gave = addition
Equation:
x - 7 + 3
Using the net below, find the surface area
of the pyramid.
3\in.
2 in.
2 in.
Surface Area =
[?] in.2
Enter
Answer:
16
Step-by-step explanation:
Base: 2x2=4
The 4 Triangles: 2x3x1/2 (for each triangle), each triangle equals 3
3x4=12
12+4=16
16 is the final answer
hi please help i’ll give brainliest
Answer:
I think it's B
Step-by-step explanation:
Answer:
C if you read it carefully it would show on each answer. plus it will sound eventually make sense
Select an equation that is equivalent to a^2-144b^2 a) (a-12b)^2 B) (a+12b)^2 C) (a-12b)(a+12b) C) a^2-24ab+144b^2
Answer:
C) (a-12b)(a+12b)
Step-by-step explanation:
a^2-144b^2 = (a-12b)(a+12b)
This is the formula that when two terms squared are written with a minus sign between them their factors are the product of the original numbers once with a plus sign and once with the minus sign.
This can be explained by multiplying them.
(a-12b)
*(a+12b)
a²- 12ab
+12ab - 144b²
a² +0 - 144b²
We see we get the same answer as applying the formula above.
What is the value of BD
Well, by the segment addition postulate, 3x + 5 + 5x - 7 = BD, so BD = 8x - 2.
Because you didn't include the instructions in the picture, I can't be sure if this is a rhombus or a rectangle, but if it is either, then 3x + 5 = 5x - 7, and x = 6
If this is true, then BD = 48 - 2 = 46, but only if the shape is either a rhombus or rectangle (or both would make it a square).
please I need help i will give 30 points
Answer:
250π OR 785.398
Step-by-step explanation:
Just plug in the values given to you in the image into the formula for volume.
Your answer can either be 250π or it can be 785.398
Both are correct
   pls help ( only the 4th ignore the other questions, you’ll need the line plot for 4 )
And pls don’t give me any zip files, just give me the answer
Answer:
When the imposter is sus da da da da da da dada ding
Step-by-step explanation:
The area of a garden can be represented by the expression x2 - 6x - 27. What are the dimensions of the rectangle in terms of x?
Answer:
Step-by-step explanation:
x² - 6x - 27
x² - 9x + 3x - 27
x(x - 9) + 3(x - 9)
(x - 9) (x + 3) = 0
x = 9
x = -3
The dimensions are 9 and 3
What is the domain of the graph below?
Answer:
-1 < x < 5
Step-by-step explanation:
Domain is left to right, so look at the x-axis.
The farthest it can go left is -1
The farthest it can go right is 5
svjdp jeos firj r rrr
Cuál es la fuerza total que ejerce 3 personas empujando una carreta? F1 = 30 N, F2 = 45 N, F3 = 38 N?
Respuesta:
113 N
Explicación paso a paso:
Las fuerzas ejercidas se dan como:
F1 = 30 N
F2 = 45 N
F3 = 38 N
A partir de los valores de las fuerzas ejercidas, podemos observar que todas las fuerzas están en la misma dirección; Dado que la fuerza total ejercida es un sol de las 3 fuerzas:
F1 + F2 + F3
(30N + 45N + 38N) = 113 N