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Related Questions
the rectangle shown has a perimeter of 56 cm and the given area. it's length is 8 more than three times it's width. write and solve a system of equations to find the dimensions of the rectangle.
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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~
Now, Perimeter of rectangle is :
[tex]\qquad \sf \dashrightarrow \:2(l + w) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:2(3x + 8 + x) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:2(4x + 8) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:4x + 8 = 56 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:4x + 8 = 28[/tex]
[tex]\qquad \sf \dashrightarrow \:4x = 28 - 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 20\div 4[/tex]
[tex]\qquad \sf \dashrightarrow \:x =5 \: cm[/tex]
Hence, width = x = 5 cm
[tex]\qquad \sf \dashrightarrow \:l = 3w + 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 3(5)+ 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 15+ 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l =23 \:cm[/tex]
And, length = 26 cm
Please help me!! I will mark you brainliest!
Answers
Answer:
Step-by-step explanation:
Right off the bat, you will know the lowest number is 52 and the highest number is 65, therefore there will act as the guides for your box and whisker plot. This eliminates answers B and C because they are not accurate to that.
Next, we find the median of the set of numbers by crossing out (writing it down, or imagining doing so) the numbers on either end consecutively to until you reach the center number, ours being 58. This eliminates answer A.
This leads us to belive answer D is the correct box and whisker plot.
(07.02) Choose the polynomial that is written in standard form. (4x3 - 2x - 9) + (2x2 + 5x + 3). (1 point) Оа 6X - 3x - 6 Ob 2x - 7X – 12 oc 6x2 + 3x - 6 . 2x3 = 3x - 3
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The standard form of a polynomial is: ax^n+ bx^n-1 + cx^n-2 + ......... + d
The standard form of the polynomial is 4x^3 + 2x^2 + 3x - 6
How to determine the polynomial in standard form?The polynomial is given as:
(4x^3 - 2x - 9) + (2x^2 + 5x + 3)
Remove the bracket
4x^3 - 2x - 9 + 2x^2 + 5x + 3
Collect like terms
4x^3 + 2x^2 - 2x + 5x - 9 + 3
Evaluate the like terms
4x^3 + 2x^2 + 3x - 6
Hence, the standard form of the polynomial is 4x^3 + 2x^2 + 3x - 6
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Rewrite each equation without using absolute value for the given conditions.
y=|x-3|+|x+2|-|x-5| if x>5
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Answer:
x>5, so
let x=6
6-3=3
+
6+2=8
-
6-5=1
3+8-1=10
answer=10
The cpi is currently 153. if a coffee maker costs $31.90 today, how much did one cost in 1983, to the nearest cent? a. $20.85 b. $21.20 c. $26.60 d. $48.81
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its C
One coffee maker's cost in 1983 was $20.85 if the current CPI is 153 option (a) is correct.
It is given that the CPI is currently 153 if a coffee maker costs $31.90 today. It is required to find how much did one cost in 1983.
What is CPI?It is defined as the tool to measure inflation that indicates between two periods how much cost is increased. It can be represented by [tex]\rm CPI_t[/tex] for the given time 't'
The formula for finding the CPI:
[tex]\rm CPI_t = \frac{C_t}{C_0}\times 100[/tex]
Where [tex]\rm c_t[/tex] is the cost in the current market
[tex]c_0[/tex] is the cost at the given period.
We have in the question:
[tex]\rm c_t = \$31.90\\\\\rm CPI_t = 153[/tex]
Putting these values in the CPI formula, we get:
[tex]\rm 153= \frac{31.90}{C_0}\times 100\\\\\rm c_0 = \frac{3190}{153} \\\\\rm c_0 = \$20.84 \approx \$20.85[/tex]
Thus, one coffee maker's cost in 1983 was $20.85 if the current CPI is 153.
Learn more about the CPI here:
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Maggie takes three electives art, Spanish and creative writing She calculated the mean absolute deviation of the points she earned throughout the year in each class art: mean absolute deviation of 2.1 Spanish: mean absolute deviation of 0.8
creative writing: mean absolute deviation of 2.7
In which elective were her scores the most spread out?
creative writing
art
Spanish
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Creative writing had the largest mean absolute deviation of 2.7, therefore, the elective where her scores are most spread out is: creative writing.
What is the Mean Absolute Deviaton?The mean absolute deviation is a measure of variability of a data distribution, which describes the average distance of each data value and the mean of the data set.
The larger the mean absolute deviation, the more spread out the data points are from the mean of the data set.
Therefore, since creative writing had the largest mean absolute deviation of 2.7, therefore, the elective where her scores are most spread out is: creative writing.
Learn more about mean absolute deviation on:
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Answer: creative writing
Step-by-step explanation: I did k12 and got 100% Good Luck i hope this helps man. please give me brainiest I'm trying my best to help everyone. thanks :)
don’t even know how i got this far in geometry lol
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[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's find the Area of sector ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \theta}{360} \times \pi{r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 270}{360} \times \pi{6}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 3}{4} \times {36}^{} \pi[/tex]
[tex]\qquad \sf \dashrightarrow \:3 \times 9 \pi[/tex]
[tex]\qquad \sf \dashrightarrow \:27\pi \: \: ft {}^{2} [/tex]
Christopher opened a savings account with $1800 that pays no interest. He deposits an additional $90 each week thereafter. How much money would Christopher have in the account 42 weeks after opening the account?
Answers
Answer:
I think 5580
Step-by-step explanation:
You move the 1800 away for a bit so since it's 42 weeks you have to multiply 90 and 42 then add that to 1800.
Question 6
Luna mixes 2 cup of orange juice with a cup of cranberry juice. She gives
cup of the juice to Mags. How much is left in Luna's glass?
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Answer:
nothing
Step-by-step explanation:
2cups= orange juice
1 cup= cranberry juice
nothing the orange and juice was used to make the mixture of juice
Answer:
its nothing??
Step-by-step explanation:
you gave it to mags so its nothing
(20 points)
Find x:
(x−2)^2=25
pls show steps so I understand lol
Answers
Answer:
(-3, 7)
Step-by-step explanation:
ok so first take the square root of both sides, so you get (x-2)=5, since the square root gets rid of the power, and the square root of 25, is 5, and since we did a square root, we also have to do the - + thing, so the equation really is now x-2=(+-)5
subtract 2 from both sides, and you get x=(+-)5+2
Solving for x we get -5+2=-3
and also
5+2=7 since there was a positive, and a negative 5.
therefore x would equal (-3, 7)
hope this helps, please mark as brainliest.
Shane went bowling with his friends. The bowling alley charges $20 for an hour of group bowling plus a fee to rent each pair of shoes. Shane's group bowled for one hour, rented 4 pairs of shoes, and paid a total of $31. Which equation can you use to find the fee, x, to rent each pair of shoes?
Answers
Answer:
4x+20=31
Step-by-step explanation:
So one hour of bowling is 20 dollars and they bowled for one hour hence the 1x20 which is equal to 20. That is the base coast we add to the variable of x that is the cost of renting one pair of shoes. And since they rented 4 pairs of shoes you multiply x by 4 to get 4x. Add the 20 dollars they paid to bowl and it is 4x+20. They paid 31 dollars in total so equal the equation to 31. 4x+20=31. Solution is $2.75 per pair of shoes. (If you want an explanation as to how to get the answer, just ask
Triangle ABC has an area of 25 square feet and a perimeter of 65.5 feet. △ABC is dilated by a factor of 5/2 to create △DEF. \
Calculate the area of ABC using the scale factor.
Calculate the perimeter of DEF using the scale factor.
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Answer:
Solution. To find the perimeter of \triangle ABC we use the Pythagorean Theorem which tells us that |AB|^2 = |AC|^2 + |BC|^2. Since |AC| = 5 and |BC| = 12 we find that |AB| = \sqrt{169} = 13. The perimeter of \triangle ABC is then 5 + 12 + 13 = 30 units.
Suppose that 16 inches of wire costs 48 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?
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The diagram shows the entrance to a tunnel.
The circular arc has a radius of 3m and center O.
AB is horizontal and angle AOB = 120°.
During a storm the tunnel filled with water, to the level shown by the shaded area in the diagram.
Calculate the shaded area.
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Step-by-step explanation:
it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).
what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.
since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).
and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.
AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).
the area of this triangle AOB is
1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =
= 3.897114317... m²
a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).
so, it's area is
pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²
so, the total area of the shaded area is
3.897114317... m² + 4.71238898... m² =
= 8.609503297... m²
The area of the shaded portion of the circle is A = 8.61 m²
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the area of the shaded region be A
Let the radius of the circle be r = 3 m
The triangle ΔAOB is an isosceles triangle with side lengths = 3m
The area of the triangle ΔAOB = ( 1/2 ) x 3 x 3 x sin (120)
On simplifying the equation , we get
The area of the triangle ΔAOB = 3.897 m²
Now ,
There are 2 sectors , with sector angle = 30°
The area of the two sectors = 2 x ( 30/360 ) x π x 3²
On simplifying the equation , we get
The area of the two sectors = 2 x 2.357
The area of the two sectors = 4.714 m²
Now ,
The area of the shaded region of circle A = area of the two sectors + area of the triangle ΔAOB
Substituting the values in the equation , we get
The area of the shaded region A = 4.714 + 3.897
The area of the shaded region A = 8.611 m²
Therefore , the value of A is 8.611 m²
Hence , the area is 8.611 m²
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x + y = 5 2x - y = 1 substitution method
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[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(2,3)
Equation Form:
x = 2, y = 3
Step-by-step explanation:
Given the box plots below, what is the median of group B? Comparing Box Plots Worksheet Question 8 options: 50 min 65 min 40 min 5 min
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Answer:
40
Step-by-step explanation:
I answered by simply looking at the equation
the surface area?
A - 216
B - 336
C - 438
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Answer:
B
Step-by-step explanation:
Hi built the bookshelf shown below the bookshelf is 4 feet tall with a solid board on the back and each shelf measures 18 inches deep by 24 inches across if Chi wants to paint all the surfaces including the underside of each shelf and the base as well as both sides of the bookshelves back and sides how many square feet will paint
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it should be 137
if not am sorry. am not the best at math
Find the area of the shaded region.
Answers
Answer:
40.5 square meters
Step-by-step explanation:
the first thing you should do is find the area of the entire square
that is 9 * 9 which is 81
then you have to find the area of the triangle 9 * 9 * 1/2 which is 40.5
81 - 40.5 is 40.5 so the shaded region is 40.5
It is given that AB CD Identify the postulate that proves the triangles are congruent
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Answer:
i can't see the multiple choice
Step-by-step explanation:
angle c and b are equal
angle a and d are equal
and you have a common angle o
and ab = cd
The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
It is given that AB || CD. The side AB is congruent to the side CD.
The line AD and BC intersect at the mid-point. Then the line segment AO and OD will be congruent and the line segment CO and OB will be congruent.
And the angle ∠AOB and ∠COD will be congruent because they are vertically opposite angles.
The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.
More about the triangle link is given below.
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i'm burfunkled right now
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Answer: what grade is this
Step-by-step explanation:
OMG I'M HAVING A BRAIN FART AND CAN"T SOLVE THIS FOR THE LIFE OF ME. HELPPPP!
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Answer:
Step-by-step explanation:
Because a square has 4 equal sides:
P = 4x
A = [tex]x^{2}[/tex]
Step 1. Substitute 4x into perimeter equation
[tex]P=\frac{4x^2+4}{x^2-2x+1}[/tex] (original P equation)
[tex]4x=\frac{4x^2+4}{x^2-2x+1}[/tex] (substitute P = 4x)
Step 2. Solve for x[tex]4x(x^2-2x+1)={4x^2+4}[/tex] (multiply denominator on both sides)
[tex]4x^3-8x^2+4x={4x^2+4}[/tex] (distribute 4x)
[tex]4x^3-12x^2+4x-4=0[/tex] (combine like terms, set = to 0)
[tex]4(x^3-3x^2+x-1)=0[/tex] (factor)
Continue using quadratic formula to find x
Step 3. Plug x into area equation, [tex]x^{2}[/tex]Hope this helps! Cannot finish answer right now, so sorry
side=Perimeter/4
side:-
[tex]\\ \rm\Rrightarrow \dfrac{4(x^2+1)}{4(x^2-2x+19}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{x^2+1}{x^2-2x+19)}✓/tex]
Area=side ²
[tex]\\ \rm\Rrightarrow \left(\dfrac{x^2+1}{x^2-2x+19}\right)^2[/tex]
Find the area of this triangle. round to the nearest tenth.
Answers
Answer:
67.5ft²
Step-by-step explanation:
1/2xhxb
1/2x9x15
4.5x15
67.5ft²
Hope this helps!!!!
The surface of a rectangular table has a perimeter of 12 feet and an area of 8 square feet.
What are the dimensions of the table?
feet by
feet
no
Submit
1-2
17.4.3
291
Answers
Answer:
17.4.3
Step-by-step explanation:
17.4.3
The runner completed 26.2 miles in 4 hours. How far did he run in 1 hour?
Answers
Answer:
6.55 miles
Step-by-step explanation:
26.2 miles in 4 hours means 6.55 each hour adds up to the total.
Do ---> 26.2 divided by 4 to get hourly miles = 6.55
The Furnace Creek Airport in Death Valley, California, has an elevation of 64 meters below sea level. The lowest point in New Orleans, Louisiana, has an elevation of -2 meters. What is the difference between the elevation in New Orleans and the elevation at the Furnace Creek Airport?
Answers
Answer:66 meters
Step-by-step explanation:
just change the negative to a positive and add them together. It would be 66.
HELP PLEASE IM STRUGGLING
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Step-by-step explanation:
Both are very correct,
[tex]5 { }^{ - 2} = \frac{1}{25} \: or \: \frac{1}{5 {}^{2} } [/tex]
because any number raised to the power of a negative
is given as
[tex]a {}^{ - x} = \frac{1}{a {}^{x} } [/tex]
if this helped pls give brainliest
Ivanna needs to buy some pencils. Brand A has a pack of 36 pencils for 8.52 . Brand B has a pack of 48 pencils for 9.98 . Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
Answers
Answer:
Brand B is better
Step-by-step explanation:
Brand A's unit price is $0.24
Brand B's unit price is $0.21
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. what is the complement of mariah choosing three mysteries?
Answers
The probability is the ratio of the favorable event to the total number of events. Then the probability of choosing three mysteries books is 0.877%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.
The total number of books will be
Total books = 5 + 7 + 8
Total books = 20
The total number of the event will be
[tex]\rm Total \ event = \ ^{20}C_3 \\\\\\Total \ event = \dfrac{20!}{(20-3)!3!}\\\\\\Total \ event = 1140[/tex]
The favorable event will be
[tex]\rm Favorable \ event = \ ^{5}C_3 \\\\\\Favorable \ event = \dfrac{5!}{(5-3)!3!}\\\\\\Favorable \ event = 10[/tex]
The probability of choosing three mysteries books will be
[tex]\rm P = \dfrac{10}{1140}\\\\\\P = 0.00877 \ or \ 0.877\%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Answer:
D
Step-by-step explanation:
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. What is the complement of Mariah choosing three mysteries?
not choosing a mystery
choosing at least one mystery
choosing three mysteries
not choosing all mysteries
D is the right answer
On a map with a scale of 1 : 50000 , he shortest distance from the railway line to the river is 2.1km. What distance on the map would represent this?
Answers
Answer:
105,000
Step-by-step explanation:
I'd the scale is 1 : 50,000, you would first take the 2.1km and multiply it by your 50,000. This will put your answer to scale coming in at 105,000 km on the map