The information given in the triangle shows that the total distance from A to B to C to D to E will be C. 84.
How to calculate the triangle?From the information given, ABF = EDG, GCF are equilateral and AG = 21 while CG = 1/4.
The total distance from A to B to C to D to E will be:
= 21/CG
= 21 / 1/4
= 21/0.25
= 84
In conclusion, the correct option is 84.
Learn more about triangles on:
https://brainly.com/question/17335144
How can you find an output number when you know an input number?
Here is an example of a pattern
Input / Output
1 / 3
2 / 7
3 / 11
4 / 15
5 / 19
6 / 23
Janine wants to place a patio around a garden as shown below. All the measurements are in ft. If l=x-5 feet, w=x-6 what is the area of the patio
Answer:
Step-by-step explanation:
A=l x w
You would set the formula up like this:
A = (x - 5)(x - 6)
To solve this you would distribute. Starting at the x in (x - 5), you multiply it by the x in the second pair of parentheses, giving you x^2. Then, multiply the first x by -6, which gives you -6x. Once you've multiplied that first x by everything in the second set of parentheses, you move on to the second term, -5. You now multiply -5 by x, giving you -5x. And lastly, multiply -5 by -6, giving you positive 30(two negatives make a positive).
At this point you have:
A = x^2 - 6x - 5x + 30
The next step is to add like terms, the only ones here being -6x and -5x, which gives you -11x:
A = x^2 - 11x + 30
Being your final answer
I hope this helps you :)
So
Area
Lw(x-5)(x-6)x(x-6)-5(x-6)x²-6x-5x+30x²-11x+30 ft²The equation of line k is y+10=3(x+3).
Perpendicular to line k
is line, which passes through the point (5, -5). What is the
equation of line /?
Write the equation in slope-intercept form. Write the numbers in
the equation as simplified proper fractions, improper fractions, or
integers.
Answer:
y = x/2 +9/2
Step-by-step explanation:
Answer:
y = x/2 +9/2
Step-by-step explanation:
y = -2x - 6.
The equation of the line perpendicular to the above equation has a slope 1/2
The equation of a slope is
y2-y1/x2-x1 = 1/2
To form an equation of the line we chose a point that lies on the graph which is perpendicular to y = -2x - 6 and an arbitrary point (x,y)
A point is given us already and that point is (3, 6).
Tie all together to compute the slope we have;
y-6/x-3 = 1/2
2(y-6) = x-3
2y-12= x-3
2y = x-3+12
2y= x+9
Dividing through by 2 we have
y = x/2 +9/2
y = x/2 + 4.5
Answer true or farise for the following statement the statement is tale, change the right side of the comparison to make it true.
a. 2 kilograms > 2,600 grams
b. 12 feet < 140 inches
c. 10 kilometers = 10,000 meters
Answer:
a. false
b. false
c. true
Step-by-step explanation:
a. 2 kilograms = 2,000 grams
b. 12 feet is 144 inches (12 times 12, because 12 inches in a foot)
c. 10 kilometers = 10,000 meters
which is better left riemann or right riemann? and why?
Step-by-step explanation:
It depends on your function. It also depends on if you want an overestimate, or underestimate. Riemann sums are used to approximate integrals by summing the area of 'n' amount of rectangles.
help me i need help
plssssssssssssssssss help
Answer:
33 feet
Step-by-step explanation:
[tex]total \: lengt h \: of \: street = 833 \: ft[/tex]
[tex]useable \: length \: of \: street = 833 - 8 = 825 \: ft[/tex]
[tex]width \: of \: front \: yard = \frac{825}{25} \: ft[/tex]
[tex] = 33\: ft[/tex]
Electric utility poles in the form of right cylinders are made out of wood that costs $25.46 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 30 ft. Round your answer to the nearest cent.
Answer:
$ 1349.746624
Step-by-step explanation:
The volume of a cylinder
The formula for calculating the volume of a cylinder is expressed as:
V=πr²h
where:
r is the radius
h is the height
Given the following parameters
r = d/2 = 1.5/2 = 0.75ft
h = 30ft
Get the volume of the cylinder
V=π(0.75)²(30)
V= 53.0144...ft³
If the wod costs $25.46 per cubic foot, hence the cost of the wood will be 53.0144*25.46 = $ 1349.746624
5. How many lines of symmetry does a tree have?
Answer:
This tree has one line of symmetry.
3. Find BC
6. find m< A
Answer:
Step-by-step explanation:
Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...
Answer:
[tex]-13x-23[/tex]
Step-by-step explanation:
Given sequence: [tex]x-9, -x-11, -3x-13[/tex]
Therefore,
[tex]a_1=x-9[/tex][tex]a_2=-x-11[/tex][tex]a_3=-3x-13[/tex]General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
(where a is the first term and d is the common difference)
To find the common difference, subtract a term from the next term:
[tex]\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}[/tex]
Therefore,
[tex]a_n & =(x-9)+(n-1)(-2x-2)[/tex]
To find the 6th term, input n = 6 into the equation:
[tex]\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}[/tex]
Tom has 75 baseball cars he gave away 3/5 of his cards how many cards does he have left?
Answer:
30
Step-by-step explanation:
75/5 = 15
15 x 3 = 45
75 - 45 = 30
Have an amazing day!!
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The lengths of two consecutive sides of the
parallelogram shown are 10 inches and 15
inches. The two sides include an angle of 60°.
To the nearest tenth of a square inch,
what is the area of the parallelogram?
5√5-2√5 can someone please simplify this before I throw my phone across the floor thankyou
Answer:
3 sqrt 5 ( or 6.7082039 as posted in earlier A )
Step-by-step explanation:
sqrt ( 5) ( 5-2) = 3sqrt 5
Here are the approximate populations of three countries, expressed in scientific notation: Panama: 4 x 10^6, Peru: 3. 2 x 10^7, Thailand: 7 x 10^7. Decide what power of 10 to put on the label for the rightmost tick mark of this number line so that all three countries’ populations can be distinguished. Number after ^ is an exponent
Using scientific notation, considering that Thailand has the larger population, the power of 10 that should be on the label is of 7.
What is scientific notation?
A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
In this b is the power of 10 and the base a is in the following interval:
[tex]a \in [1, 10)[/tex].
In this problem, considering that both Thailand and Peru population's have exponent 7, and Panama's population is of [tex]4 \times 10^6 = 0.4 \times 10^7[/tex], the power of 10 that should be on the label is of 7.
More can be learned about scientific notation at https://brainly.com/question/26482653
Write the arithmetic series in summation notation.
3+6+9+12+15+18
A small country emits 93,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 4% per year for the next 10 years. In the first year of the agreement, the country will keep its emissions at 93,000 kilotons and the emissions will decrease 4% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 10 year period, to the nearest whole number?
Answer:
779264 k-tons
Step-by-step explanation:
First year ====> no change
then each of the next 9 years decrease by 4 % ( leaving 96%)
this is a geometric sequence with
r = .96 and a1 = 93000 and n = 10 terms
sum of sequence = a1 (1-r^n) / ( 1-r) = 779264 kilotons
10th term of 6 -24 96 -384
Answer:
-1,572,864
Step-by-step explanation:
r = - 4
6 - 24 96 - 384 ......
6 * r^9 = a10 = -1572864
Please find the area and circumference of the circle with diameter 3.7cm
Answer:
Area: 10.7521 cm
Circumference: 11.62389 cm
________________________________________________________
Solve: AreaArea, A, will equal the formula of [tex]\pi r^2[/tex], so we must find the value and split that up. Diameter, d is equal to 2r. Let's solve.
[tex]A = \pi r^2[/tex]
[tex]d = 2r[/tex]
Now, make an equation combining like terms.
[tex]A = \frac{1}{4} \pi d^2[/tex]
This equation means to multiply those terms together. Since the diameter is 3.7, d is 3.7
[tex]\frac{1}{4} * \pi * 3.7 = 10.8(estimate)~cm[/tex]
Let's move on to circumference. On we go!
________________________________________________________
Solve: CircumferenceWith circumference, it is very similar to what you just did to find area(A). You must again, set up these terms and make an equation out of them. C(circumference) is going to be equal to [tex]\pi r[/tex], notice how it does not say squared([tex]^2[/tex]) at the end now.
[tex]C = \pi r[/tex]
And diameter, you guessed it, will be 2r.
[tex]d = 2r[/tex]
Now, combine the like terms into an equation.
[tex]C = \pi d[/tex] pi times diameter(3.7)
[tex]\pi * d(3.7) = 11.6~cm[/tex]
Now that the problem is done, we move on to review.
________________________________________________________
What have we learned?We learned how to solve for circumference and area using diameter.
________________________________________________________
Questions?Feel free to ask in the comments.
Work out the size of angle : x
Answer:
129
Step-by-step explanation:
180-51= 129
129 is corresponding with x
and corresponding angles are equal
so 129 is the answer
Answer:129
Step-by-step explanation:
Because of the rule of alternate exterior angles the angle to the right of angle X would also be 51 and since we know a straight line is 180 degrees we will subtract the angle we know from 180 and you get 129 as your answer.
Im stuck on this question, how do I find the uneven areas? Each unit is 1 sq unit. Please help! I am so worn out by this question!
Answer:
5.5 sq units
Step-by-step explanation:
Find the square around the red shape and subtract out the white parts.
Square = 4x4 = 16
Triangles subtracted -
1x1/2
1x1/2
3x4/2
3x1/2
Total subtracted = -8.5
Squares subtracted
1x1
1x1
Total subtracted = -2
16 - 10.5 = 5.5
Victor just bought a new television for $815.00. He made a down payment of $79.00 and will pay monthly payments of $32.00 until it is paid off. How many months will Victor be paying? (Assume that Victor pays no interest.)
22 months
23 months
28 months
26 months
Answer:
Step-by-step explanation:
the tv is 815
815-79(down payment)=736
736 we will divide by 32 (monthly payments)
736/ 32=23
23 months
NO LINKS OR FILES!!!!!!! How many millimeters is this line segment?
A) 0.4 millimeter
B) 4 millimeters
C) 40 millimeters
D) 400 millimeters
Answer:
remember this line it will help you
Milli centi deci meter dega hecto kilometerStep-by-step explanation:
milli to centi takes 10 points difference so option c. 40 millimeters is the correct answerZero to the power of two
Answer:
0
Step-by-step explanation:
because when you square a number, you multiply it by itself. So, you would do 0 x 0 = 0
Hope this helps!
- profparis
Answer:
0
Step-by-step explanation:
0^2 = 0*0
Zero times zero is still zero
Hope this helps!
If P is the set of prime integers and E is the set of even integers, which of the following is in both set P and set E? A. 0 B. 1 C. 2 D. 3 E. 4
Answer:
option (C) 2
Step-by-step explanation:
because 2 is a prime number and also an even integer.
(NOTE: 0 and 1 are not prime numbers and also 0 is an even numbers while 1 is a prime number).
Hope this helps.
Good luck .
what is 17/12 as a mixed fraction
Answer: 1 5/12
Step-by-step explanation:
Divide 17 by 12
Answer:
1 and 5/12
Step-by-step explanation:
Step 1: Find the whole number
Step 2: Get the new numerator
Step 3: Our mixed fraction
Step 4: Simplifying our fraction
For which function is it true that y
Sashia buys 8 sashes for $12. Write an equation relating the total cost y to the number of sashes x.
Answer:
[tex]y=\frac{3}{2} x[/tex]
Step-by-step explanation:
It’s clear that we there is a proportional relationship between the number of sashes and their cost.
then
[tex]\frac{y}{x} =\frac{12}{8}[/tex]
then
[tex]y= \frac{12}{8} x[/tex]
Or 12/8 = 3/2
Then
[tex]y=\frac{3}{2} x[/tex]
yooo can somebody help me with this?!?!
keep noted i am not smart 7u7
Answer:
28
Step-by-step explanation:
its 28 bc area lol i almost though diff
What are the solutions to the equation 3x2 + 15x = 18?
A X=-3 and X =-2
B X = -6
and x = 1
C
X = 6 and x = 13
D X = 0 and x = 1
[tex]3x {}^{2} + 15x = 18[/tex]
Divide the entire thing by 3[tex]x {}^{2} + 5x = 6[/tex]
[tex]x {}^{2} + 5x - 6 = 0[/tex]
You can find the roots by using the quadratic formula or by using the form x²-Sx+P[tex]let \: \alpha \: and \: \beta \: be \: the \: roots[/tex]
Two numbers whose sum is -5 and product is -6-6 and +1Your answer is BSolve the system by substitution
Question 1)
X=2x
X-y=9
Question 2
Y= -3x
4x -2y= -20
Solve either or or both doesn’t matter
Answer:
I think its:
Q1= x=(9+y)/2
Q2= x=(-20-6xy)/4
Step-by-step explanation:
Q1)
X-y=9
2x-y=9
2x=9+y
x=(9+y)/2
Q2)
4x-2y=-20
4x-2(-3x)=-20
4x+6xy=-20
4x=-20-6xy
x=(-20-6xy)/4