Answer:
A = P * a / 2
A = 81.25
Step-by-step explanation:
We have that there is a corresponding formula for a regular decagon, which depends on the apothem and the perimeter, it is the following:
A = P * a / 2
In this case, the perimeter is the sum of all the sides, that is, 10 sides, therefore:
P = 10 * 3.25
P = 32.5 meters
We replace:
A = 32.5 * 5/2
A = 81.25
Which means that for that regular decagon, the area is 81.25 square meters.
I need help finding the surface area, can someone help
Answer:
1). Surface area of the prism = 112 cm²
2). Area of the sphere = 615.8 cm²
Step-by-step explanation:
1). Surface area of the triangular prism = Area of the triangular bases + Area of three lateral (rectangular) sides
Area of a triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(3)(7)[/tex]
= 10.5 cm²
Area of a rectangle = Length × width
Area of the rectangular lateral sides = (3 × 5) + (8 × 5) + (7 × 5)
= 15 + 40 + 35
= 90 cm²
Surface area of the prism = (2 × 10.5) + 90
= 21 + 90
= 112 cm²
2). Surface area of the sphere = 4πr²
= 4π(7)²
= 615.75
≈ 615.8 cm²
if f(x)=x+7and g(x)=1/x-13, what is the domain of (f•g)(x)
Answer: 7x-90/x-13
Step-by-step explanation:
f(x)= x+7
g(x)=1/x-13
(f•g)(x)=1/x+13+7
1+7(x-13)/x-13
1+7x-91/x-13
7x-90/x-13
Answer:
(-∞, 0)∪(0, ∞)
Step-by-step explanation:
You are given the functions f(x) and g(x). Now, you have to find (f*g)(x). To do this, you have to multiply the two functions.
f(x) = x + 7
g(x) = 1/x - 13
(f*g)(x) = (x + 7)(1/x - 13)
(f*g)(x) = -13x + 7/x + 1 - 91
(f*g)(x) = -13x + 7/x - 90
The domain has to include all of the x-values that will produce a rational number. So, look at where the x's are locate
-13x: You could put any rational number into this value and still have a rational number.
7/x: For this value, you cannot have 0 as an x-value. Every other number is fine.
This means that the domain will be (-∞, 0)∪(0, ∞).
You use parentheses and not brackets for the zero side because you don't want to include zero in the domain, but you do want to include all of the other numbers around zero. There are no brackets on the infinity side because infinity isn't a number. The ∪ symbol is used to combine domains.
Help ? What’s the answer ?
Answer:
D. - i
Step-by-step explanation:
i = √( - 1)
i³ = √( - 1)*√( - 1)*√( - 1) = √(-1)² *√(-1) = - 1*i = - i
If quadrilateral WXYZ is reflected over the y-axis, what will be the coordinates of point X ′ in the image?
Answer:
(-1,6)
Step-by-step explanation:
When you reflect over the y-axis, the x value becomes the opposite sign
Answer:
-1 6
Step-by-step explanation:
i copied the first answer
The cost of renting a community center is $100, with an additional cost of $10 per guest.
Which graph has the most appropriate scales and units for this situation?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The number of guests is the independent variable and should be between 1 and 50. We can use a scale of 10's
The cost is the dependent variable and the minimum cost is 100 and should rise from there
The scale would be from 100 's
what is the value of x?
Answer:
60 degrees
Step-by-step explanation:
Since the two lines are intersecting, the angles formed by them are vertical angles. Therefore:
2x+24=144
2x=144-24=120
x=120/2=60
Hope this helps!
Step-by-step explanation:
Therefore,
2x+24= 144° [ Vertically positive angles]
Or, 2x= 144-24
Or, 2x= 120
Or, x= 120/2
Therefore, x= 60°
Yoooooo help me out pls
-ayyyyy
Answer:
probably a. metres
Step-by-step explanation:
hectometres are huge and the other two are super small so thats my guess lol
Answer:
Step-by-step explanation:
A square meters-
Millimeters are super small
And the other ones are to huge
Dats easy
Bernard is one and half times old as Henry six years ago he was twice as old as Henry how old are the boys now
Answer:
Henry=12, Bernard=18
Step-by-step explanation:
let Henry's age = x
let Bernard's age= 1.5x
according to d passage 6yrs ago x×2=1.5x
mathematically that is (x-6)2=1.5x-6
2x-12=1.5x-6
2x-1.5x=-6+12
0.5x=6
divide both sides by the co-efficient of x which is 0.5 can also be written as ½
there fore x=6÷½
x=Henry's age=12years
1.5x=Bernard's age=12×1.5=18years
Anyone know this ? Need help :(
Answer:
19
Step-by-step explanation:
We can multiply the exponents, giving us 19 ^ (1/9 * 9) = 19 ^ 1 = 19.
Answer:
19
Step-by-step explanation:
(19^1/9)^9
19^(1/9*9)
19^1
19
i think of a number , take away 1 and multiply the result by 3
Answer:
Step-by-step explanation:
Let the number be x
Take away 1: x -1
Then multiply the result by 3: (x- 1) * 3 = (x-1)3 or 3x - 3
How do I complete this formal check?
Answer:
Step-by-step explanation:
The first two steps are for the purpose of eliminating fractions. Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.
Perform the indicated multiplication, obtaining:
8x - 20 = 9x - 18.
Then combine like terms: -2 = x, or
x = -2.
To complete the formal check, substitute -2 for x in the first equation. This results in:
(1/3)(-4 - 5) = (3/4)(-2 -2), or
-3 = -3
... which is obviously true.
if a+b=7, and a2+b2 =25 then an=?
Answer:
Solution set: (3, 4) and (4, 3)
Step-by-step explanation:
Please, to indicate exponentiation, use " ^ ": a^2 and b^2
Then you have:
a + b = 7 and a^2 + b^2 = 25.
Let's eliminate b: Solve a + b = 7 for b, obtaining b = 7 - a.
Then we have:
a^2 + (7 - a)^2 = 25, or
a^2 + 49 - 14a + a^2 - 25 = 0, or
2a^2 - 14a + 24 = 0, or
a^2 - 7a + 12 = 0, which factors as follows:
(a - 3)(a - 4) = 0
This results in a = 3 and a = 4, in which case the equation a + b = 7 tells us that the b values are 4 and 3 respectively.
Solution set: (3, 4) and (4, 3)
Answer fast pleaseee, Solve the following system of equations: y= -5x +1 and y= -x-3
Answer:
x=1 y=-4
Step-by-step explanation:
Answer:
(1, - 4 )
Step-by-step explanation:
Given the 2 equations
y = - 5x + 1 → (1)
y = - x - 3 → (2)
Since both are expressed in terms of y, equate the right sides, that is
- x - 3 = - 5x + 1 ( add 5x to both sides )
4x - 3 = 1 ( add 3 to both sides )
4x = 4 ( divide both sides by 4 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (2)
y = - 1 - 3 = - 4
Solution is (1, - 4 )
Triangle A B F is shown. Line B F is extended through point G. Line F A is extended through point C. A line is drawn from point A to point D. A line is drawn from point F to point E. Which represents an exterior angle of triangle ABF? ∠BAD ∠AFE ∠CAD ∠CAB
Answer:
(D) [tex]\angle CAB[/tex].
Step-by-step explanation:
The diagram is attached below:
Theorem: An exterior angle of a triangle is equal to the sum of the opposite interior angles.
The exterior angle is the angle formed by the third side and a straight line which forms a supplementary angle with the third interior angle.
In the diagram:
[tex]\angle ABF$ and \angle AFB[/tex] are opposite interior angles.
The third angle is [tex]\angle BAF[/tex]
The angle which forms a supplementary angle with [tex]\angle BAF[/tex] is [tex]\angle CAB[/tex].
Therefore, the exterior angle of triangle ABF is [tex]\angle CAB[/tex].
Answer:
D
Step-by-step explanation:
Just took the test and got it right
Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every next bite is 20% of what is left. How much did the Hamburger weigh originally, if after the second bite there was 160g of it left?
Answer:
250 g
Step-by-step explanation:
160 g after two bites
80% after 1 bite
[tex]\frac{80}{100} =.8[/tex]
160 ÷ .8=200
200 ÷ .8=250
Answer:
250
Step-by-step explanation:
We start with the 100% and if we take 20% from that we get 80% if we take 20% from that we have 64%. This means 160 is 64%. So if we do 160/64*100 we will get the answer!
help plz...................
Answer:
3/5
Step-by-step explanation:
cos F = adjacent side/ hypotenuse
Cos F = 6/10
Cos F = 3/5
Answer:
6/10 which is 3/5
Step-by-step explanation:
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smallest number yuri could be thinking of?
Answer:
Smallest number = 3500
Step-by-step explanation:
Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.
In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.
Thus, the smallest number Yuri could be thinking of is 3500
Which diagram represents a line of symmetry for the regular pentagon?
The correct answer is Pentagon 2 or B
Explanation:
In mathematics and related disciplines, a line of symmetry is a line that divides a figure, for example, a triangle, circle, or pentagon into two symmetrical or equal sides. This means you can fold the image following the line and both sides will be identical. This occurs in the second pentagon because the line that begins in the top of the figure divides it into two equal sides. Indeed each of the sides includes half of the base and two angles that coincide if you fold the figure following line.
Answer:
its b
Step-by-step explanation:
literally the only one you can fold in half
What is the slope of the line y = 3?
The triangles are congruent by SSS and HL. Triangles R S T and V W X are shown. Triangle R S T can be rotated about point S and then shifted down and to the left to form triangle V W X. Which transformation(s) can be used to map △RST onto △VWX? reflection only translation only reflection, then translation rotation, then translation
Answer:
rotation then translation
Based on the information given regarding the triangle, the transformations that can be used to map △RST onto △VWX is D. rotation, then translation.
What is a congruent triangle?It should be noted that a congruent triangle simply means when two triangles have the same sides and the same angles.
Since Triangle RST can be rotated about point S and then shifted down and to the left to form triangle VWX, the transformations that can be used to map △RST onto △VWX is rotation, then translation.
Learn more about triangles on:
https://brainly.com/question/2644832
Graph the inequality
-9 < y + 5x < 14
Answer:
Step-by-step explanation:
Which table shows a function that is decreasing only over the interval (–1, ∞)? A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.
Answer:
Your answer is B.
Have a great day!
Step-by-step explanation:
I'm so sorry that I do not have an explanation for you. I truly am.
Answer:
B
Step-by-step explanation:
if f(x) =5x-2 and g(x) = 2x +1 find(f+g)(x)
Answer & Step-by-step explanation:
When we see (f + g)(x), it means that we are going to be adding f(x) to g(x).
f(x) = 5x - 2
g(x) = 2x + 1
(f + g)(x) = (5x - 2) + (2x + 1)
Combine like terms.
(f + g)(x) = 7x - 1
So, (f + g)(x) equals 7x - 1
Use the figure below. Which angle is congruent to ∠ACB? A. ∠ABC B. ∠AED C. ∠ADE D. ∠DAE
<AED
Explanation:
B is the mid point of AD.( since AB=BD)
C is the mid point of AB( since AC=BC)
Therefore BC is parallel to DE.
Angle ACB= Angle AEB
Corresponding angles are equal.
And hence, they are congruent.
Hope it helps
Good luck on your assignment
The angle congruent to ∠ACB is B. ∠AED.
What are congruent angles?Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.
Congruent Angles have the same angle (in degrees or radians).
Now from the given figure,
In triangle ABC and triangle AED
AC = CB
BC is parallel to DE
Thus, by law of congruent angles, interior angles are equal,
Thus, ∠ACB = ∠AED
this is the required congruent angle of ∠ACB.
Thus, the angle congruent to ∠ACB is B. ∠AED.
To learn more about congruent angles:
https://brainly.com/question/24887947
#SPJ2
. (10 points) Based on pre-trial speculation, the probability that a jury returns a guilty verdict in a certain high-profile murder case is thought to be 15% if the defense can discredit the police department, and 80% if they cannot. Veteran court observers believe that the skilled defense attorneys have a 70% chance of convincing the jury that the police either contaminated or planted some evidence. What is the probabiliy that the jury returns a guilty verdict?
Answer:
34.5% probability that the jury returns a guilty verdict
Step-by-step explanation:
We have these following probabilities:
If the police can discredit the police department, 15% probability of a guilty verdict.
70% probability of the police department being discredited by the defense.
If the police can discredit the police department, 80% probability of a guilty verdict.
100 - 70 = 30% probability of the defense not discrediting the police.
What is the probability that the jury returns a guilty verdict?
15% of 70% and 80% of 30%. So
p = 0.15*0.7 + 0.8*0.3 = 0.345
34.5% probability that the jury returns a guilty verdict
YEAR 9 MATHS -SYMMETRY QUESTION
Tick whether the statement below is true or false for this rectangle.
It has rotational symmetry of order 4
(1 mark)
Answer:
32cm
Step-by-step explanation:
i think it is symmetry of order 2 as it's rotational symmetry is 180°
Answer:
It has rotational symmetry of order 2 as it's rotational symmetry is 180°
Find the slope of the line 25 points
y
=
9
7
x
+ 1
.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
97
Step-by-step explanation:
y=mx+b
m= slope
y=97x+1
Help PLZZZ
Describe the change in the graph of the parabola f(x) when it transforms into g(x) = two thirdsf(x).
A The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).
BThe parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).
CThe parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).
D The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Answer:
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Step-by-step explanation:
Answer:
It's B.
Step-by-step explanation:
I took the test.
Carter has 143 songs pn a playlist. He's categorized them in the following manner: 7 classical, 19 rock, 29 hip hop, 16 gospel, 13 pop, 24
country, and 35 jazz. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?
Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Plssss help
Answer:
19/ 143
Step-by-step explanation:
There are 19 rock songs out of 143 total
P(rock) = number of rock songs/ total
= 19/ 143
Which expression represents the number of feet that are in x yards?
A)
12x
B)
36x
C)
3x
D)
x
3
pLS Help will mark brainlyiest
Answer:
C) 3x
Step-by-step explanation:
There are three feet in a yard. Yards are represented by x in this problem and therefore the answer is 3x.