Answer:
side length = 4
Step-by-step explanation:
Let x = the side length
Area is x•x, which is x^2.
Perimeter is x+x+x+x, which is 4x.
x^2 = 4x
x^2 - 4x = 0
Factor.
x(x-4) = 0
x = 0 or x = 4
Discard 0 as an answer as it is not useful.
x = 4.
Area = 4^2 = 16
Perimeter = 4(4)= 16
The side length is 4.
four triangles are shown
Answer:
G
Step-by-step explanation:
The answer is statement G
Find the Area of Each shape. (Use pi = 3.14)
Answer:
Radius = 8 in
Area = πr2 = 3.14 x (8)2= 3.14 x (64)
Area = 201.1429 in²
Step-by-step explanation:
hope this helps if not please let me now
The base of a triangle is 75 cm and its height is 12
12 cm. Find its area.
Answer:
Here is your answer
Step-by-step explanation:
Solution,
here,
Base is 75 cm
Height is 12 cm
Now,
Area of triangle=1/2×b×h
=1/2×75×12
= 900/2
=450. ans
please help it’s for my homework
Answer:
1st option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{4}{5}[/tex] , then
y = - [tex]\frac{4}{5}[/tex] x + c
to find c substitute (5, 1 ) into the equation
1 = - 4 + c ⇒ c = 1 + 4 = 5
y = - [tex]\frac{4}{5}[/tex] x + 5 ( multiply through by 5 to clear the fraction )
5y = - 4x + 25 ( add 4x to both sides )
4x + 5y = 25 ← in standard form
Find m< A
Round to the nearest degree
Answer:
a bit more than 48°
Step-by-step explanation:
We use the law of cosines for this.
The theorem is an extension of pythagoras' theorem, working for all triangles. In our case
[tex]\overline{BC}^2=\overline{AB}^2+\overline{AC}^2-2\overline{AB}\cdot\overline{AC}cos \hat A[/tex]
Let's replace all the values we have and find whatever is left.
[tex]10^2=11^2+13^2-2(11)(13)cos \hat A\\-286cos\hat A = -190\\cos \hat A\approx 0.6643 \rightarrow \hat A \approx 48\°[/tex]
A pink die and a green die are thrown once. What is the probability that
Using it's concept, it is found that there is a There is a 0.1667 = 16.67% probability that the sum is less than 8 if the pink die shows a number less than 4.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, the possible outcomes for the pair of dice are given by:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
We want to find the probability that the sum is less than 8 if the first die(the pink one) shows a number less than 4.
There are 18 total outcomes in which the pink die is less than 4, and in 3, the sum is less than 4, hence:
p = 3/18 = 1/6 = 0.1667.
There is a 0.1667 = 16.67% probability that the sum is less than 8 if the pink die shows a number less than 4.
More can be learned about probabilities at https://brainly.com/question/14398287
Look at this set of 7 numbers:
6 9 3
6 8
6 3
By how much would the range increase if the number 5 replaced the number 8 in the set?
Answer:
no increase
Step-by-step explanation:
the range is the difference between the largest and smallest values in the data set.
largest value = 9 and smallest value = 3 , then
range = 9 - 3 = 6
replacing 8 by 5 has no effect on the above 2 values , so no change
Answer:
The range would stay the same.
Step-by-step explanation:
The old set is 6 9 3 6 8 6 3
- range is 9-3 = 6.
The new set is 6 9 3 6 5 6 3
which has a range of 9 - 3 = 6.
change 1.77 tones to kilograms
Answer:
1.77 Tones = 1770 Kilograms
Step-by-step explanation:
Multiply the value of the tone by 1000 to get KG
1.77 x 1000 = 1770
10 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- 6/17 = (-6) / 17 (2nde solution)
= - (6/17) (4th solution)
= 6/(-17) (last solution)
HELP ME I WILL GIVE BRAINLIEST
Answer: 42.0
Step-by-step explanation:
Can sombody solve this please. :)
144 x m - 309.6 = 50.4
Add 309.6 to both sides:
144 - 309.6 + 309.6 = 50.4 + 309.6
Simplify the arithmetic:
144 x m = 50.4 + 309.6
Simplify the arithmetic:
144 x m =360
m = 5/2
The two dot plots show the number of guests per night.
The data for each is taken from a random sample within a 10
10
-week period.
Complete the statements below.
A dot plot or for chart is a statistical plot consisting of data points that are plotted on a scale using dots.
What is a dot plot?Your information is incomplete. Therefore, an overview of a dot plot will be given. A dot plot is a data visualization where the day points are plotted as dots on the graph.
Dot plots are used for relatively small data sets. It uses the dots to show where the data values in the distribution are.
Learn more about dot plot on:
https://brainly.com/question/21862696
Hope this helps!! :)
Find the greatest common factor of 27,45and9
Answer:
9
Step-by-step explanation:
GCF of 27 and 45 is 9.
Look at the image... I hope this image helps you.
The area of a rectangle is 72.8 ft?. If
one of its sides is 6.5 ft, what is its
perimeter?
Answer:
35.4
Step-by-step explanation:
divide 72.8 by 6.5 to get the other two sides. Then you will have all four sides. From there you can add all four sides. 6.5 + 6.5 + 11.2 + 11.2 = 35.4. Hope that helps!
Simplify the expression 8a - 6b -3a + 2b
Answer:
5a - 4b
Step-by-step explanation:
= 8a - 6b - 3a +2b
= 8a - 3a - 6b + 2b
= 5a - 4b
Hope it helps :)
Answer:
5a - 4b
Step-by-step explanation:
The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35° angle of elevation.
Approximately how far apart are the buildings? Round to the nearest foot.
The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method
TrigonometryGiven Data
Height of Building A (Opp) = 400 feetAngle of Elevation θ = 35° Distance between the buildings Adj = ??Applying the SOH CAH TOA Approach we have
Tan θ = Opp/Adj
Substituting our given data we have
Tan 35 = 400/x
0.4738 = 400/x
make x subject of the formula we have
x = 400/0.4738
x = 844.23 feet
learn more about trigonometry here:
https://brainly.com/question/24349828
Select the values that would satisfy the following inequality:
K ≤ 12.75
|12.75|
|-12.75|
13
|-15|
0
Answer:
If it is a conjunction that uses the word and, the solution must work in both inequalities and the solution is in the overlap region of the graph. If it is a disjunction that uses the word or, the solution must work in either one of the equations.
Step-by-step explanation:
I need help please, WILL GIVE brainliest !!!
Answer:
Statements #1: <L (congruent sign) <I
Statements #2: <H (congruent sign) <K
Statements #3: GH (congruent sign) MK
Reasons #2: given
Reasons #3: given
Reasons #4: angle angle side
Please help I'm struggling so bad right now
Answer:
y = m x + b is the standard form of a straight line
m = (y2 - y1) / (x2 - x1) = (10 - (-8)) / (-3 - 0) = 18 / -3 = -6
When x = 0 y = b from the equation for a line
y = - 8
So our equation is
y = -6 x - 8
As a check let x = -2 then
y = (-6 * -2) - 8 = 12 - 8 = 4
Check on the graph to verify that this equation holds
what is the gradiant of the graph
Answer:
gradient = 2
Step-by-step explanation:
calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 3) ← 2 points on the line
m = [tex]\frac{3-(-1)}{2-0}[/tex] = [tex]\frac{3+1}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2
1) Consider the two functions. Which statement is true?A) The rate of change for function A and function B are the same.B) The slope of function B is negative and the slope of function A is positive.C) The rate of change for function A is greater than the rate of change for function B.D) The rate of change for function B is greater than the rate of change for function A
Answer:
B.
Step-by-step explanation:
HELP ASAP I GIVE BIG BRAIN
Give one example of a relationship that IS a function and explain how you know (explain it as if you are talking to someone who has never heard of a function before). In ur own words please...
A function is a relation where there is only one output for every input. In other words for every x value, there is only one y value.
Example : Multiply by 3 is a very simple function.
Input : 0 Output : 0
Input : 1 Output : 3
Input : 2 Output : 6
Input : 3 Output :9
And so on!
Hope this helps!
1. Jennifer can mow the lawn in 20 min. Kristen can mow the lawn in 30 min. If they work together, how long will it take them to mow the lawn
Answer:
Sam can do the job in 20 min. So he can do the whole job at the rate of 1 job in 20 minutes.
So he does 1/20 of the job per minute.
.
Rob can do the job in 30 min. His rate is 1/30 of the job per minute.
.
Working together how does it take?
.
1/20*x + 1/30*x = 1 job done
, where x = minutes.
.
Step-by-step explanation:
One number is 32 more than another. Their product is −256.
Answer:
ok so this is a system of equations
x+32=y
x*y=-256
so lets just make y x+32
x^2+32=-256
-32
x^2=-288
find root
this can't be solved since negitive numbers don't have roots
Hope This Helps!!!
Do number 27 please
Answer:
To find the volume of this figure, we must find the base area(pentagon) and multiply it by the figure's height.
Formula for area of a pentagon:-
A = 1/2 x p x a
Where 'p' represents the perimeter, and 'a' represents the apothem.
First, let's figure out the perimeter of the base pentagon.
One side of this pentagon is 10cm, and there are 5 side lengths of 10cm to this pentagon. So it'll result in (5 x 10) = 50cm altogether.
The apothem is given, 6.9cm.
So, we plug these into our formula:-
A = 1/2 x p x a
A = 1/2 x 50 x 6.9
A = 50/2 x 6.9
A = 25 x 6.9
A = 172.5cm, is the area of the pentagon.
Now we find the height of this figure and multiply it by the base area we've found(pentagon).
Our height is 17cm.
172.5(17)
= 2,932.5 cubic centimetres, is our volume.
What is the AREA of the figure
What is the angle measure θ in degrees such that cos(θ) = 2/16? Round your answer to the nearest degree.
Answer: 83 degrees
Step-by-step explanation:
In order to find theta, you must take the arccosine of both sides. The arccosine eliminates the cosine, and extracts the argument. Therefore:
[tex]cos(x)=\frac{2}{16} =\frac{1}{8}[/tex]
[tex]arccos(cos(x))=arccos(\frac{1}{8} )=x[/tex]
Use a calculator the find the arccosine of 1/8. Its nearly impossible to find the exact answer without one:
[tex]x=arccos(\frac{1}{8} )[/tex]
[tex]x=83[/tex]
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
(2, -1)
Step-by-step explanation:
x = 2, y = −1
A rectangular bathroom mirror is 4
feet tall and 7 feet wide. What is its
area?
square feet
Given -
A rectangular bathroom mirror is 4 feet tall and 7 feet wide.ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .
To find -
the area of the mirrorSolution -
As we know to find the area of rectangle we use the formula, Area = L × B
Hence, we will be doing the same.
Area = 4 × 7
Area = 28 square feet
Answer:
28 sq. feet
Step-by-step explanation:
Given:-
The length of bathroom mirror :- 4 feetWidth :- 7 feetTo find:-
The area of the rectangular bathroom mirrorSolution:-
Area of rectangular bathroom mirror:- L × B
putting the values ,
Area :- 4 × 7 sq. feet
Area:- 28 sq. feet
A prism is created using 2 regular pentagons as bases. the apothem of each pentagon is 2.8 centimeters. a regular pentagonal prism is shown. the apothem of each pentagon is 2.8 centimeters. the height of the prism is (2 x 1). all sides of the pentagon are congruent. which expression represents the volume of the prism, in cubic centimeters? 9x2 7x 14x2 7x 16x2 14x 28x2 14x
The expression that represents the volume of the prism, in cubic centimetres is [tex]28.476(2x+1) \: \rm cm^3[/tex] approx
How to find the volume of a prism?If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross section is same as its base, then its volume is:
[tex]V = B \times h[/tex]
where h is the height of that prism and B is the area of the base of that prism.
For this case, we are provided a prism which has pentagon as its cross sections, and its height is [tex]2x + 1[/tex] units.
Let B be the area of those pentagons, then:
Volume of the prism = [tex]B(2x + 1) \: \rm cm^3[/tex]
It is provided that the apothem of the pentagon is 2.8 cm.
An n sided regular polygon has internal angles' sum as 180(n-2)°
Thus, each internal angle would be of 180(n-2)/n°
For n = 5, this comes as 108°
Since the line AO is bisecting the internal angle, the angle OAB is o of 108/2 = 54°
Using the tangent ratio, we get:
[tex]\tan(54^\circ) = \dfrac{|OD|}{|AD|}\\\\|AD| = \dfrac{2.8}{\tan(54^\circ)} \approx 2.034 \: \rm cm[/tex]
Thus, area of the triangle AOD = [tex]\dfrac{1}{2} \times |AD| \times |OD| \approx \dfrac{1}{2} \times 2.034\times 2.8 = 2.8476 \: \rm cm^2[/tex]
There are 10 such triangles, all congruent, thus:
Area of pentagon = [tex]B \approx 10 \times 2.8476= 28.476 \: \rm cm^2[/tex]
Thus, volume of the pentagonal prism is:
[tex]V = B \times h \approx 28.476(2x+1) cm^3[/tex]
Learn more about volume of a prism here:
https://brainly.com/question/4113799
Answer:
14x^2+7x
B
Step-by-step explanation:
I did the test.