2. The area of a square is represented by the expression 16m2 - 40m + 25 square units. write the expression to represent the dimensions for each side. Explain what process you use. Justify your answer.
Answer:
Each side = 4m-5
Step-by-step explanation:
16m2 - 40m + 25
factor:
(4m - 5)(4m - 5)
Each side = 4m-5
Answer:
The expression for each side = 4m - 5.
Step-by-step explanation:
We need to factor the expression for the area. As the figure is a square both factors should be identical.
16m^2 - 40m + 25:
16m^2 and 25 are both perfect squares so looks like the factors are
(4m - 5)(4m - 5)
The signs are negative because the middle term is - 40m.
If we expand the factors we get:
4m*4m - 5*4m - 5*4m -5*-5
16m^2 - 20m - 20m + 25
= 16m^2 - 40m + 25 which is the original expression, so this confirms our result.
If the triangles are similar, what is the value of x? AlternativeText A. x = 16 B. x = 38 C. x = 42 D. x = 54
Answer: D. x = 54
Step-by-step explanation:
HELP FIND VALUE OF X
Answer:
72
Step-by-step explanation:
5a = 540 [ all interior angles r equal to 540 as "(n-2)x 180 (Interior ____________________________________________angle poperty )]
a= 540/5 = 108 (one interior angle)
x + a = 180 (linear pair)
x= 180 - a
x = 180 - 108 = 72
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Another way ::
Sum of Exterior angle = 360 (exterior angle property)
One exterior angle = x = 360 / 5 = 72 ( 360 by the number of sides )
I hope im right!1 Sorry if im wrong :((
Help pls I need it now
Answer:
a). 4 + 9x + 17 + 15x
b) 21 + 24x
Step-by-step explanation:
Here, we want to write expressions for the perimeter
Mathematically, this is the sum of the length of the sides
We have this as
a)
4 + 9x + 17 + 15x
b) = 4 + 17 + 9x + 15x = 21 + 24x
Elliott has 5 1/2 bags of birdseed.He uses 3 2/5 bags to feed the birds at the park.He puts the rest of the birdseed in the bird feeders in his yard.How much birdseed does Elliott put in the feeders in his yard?
Answer:
Elliott put 2.1 bags of birdseed in the feeders
Step-by-step explanation:
(5 1/2) - (3 2/5) = 2.1
I hope I helped! :)
Would appreciate Brainliest! ;)
On subtracting 8 from -4, we get
Answer:
12
Step-by-step explanation:
Remember, when you add two same symbols, the outcome will be positive.
- + - = +
- + + = -
+ - + = +
+ - - = -
Which of these statements are correct about two parallel lines in a coordinate plane? Select three that apply.
If they are each translated 7 units to the left, they will remain parallel.
If they are each reflected across the line y = x, they will remain parallel.
If they are each rotated 180° about the origin, they will not remain parallel.
If they are each reflected across the x–axis, they will not remain parallel.
If they are each rotated 270° about the origin, they will remain parallel.
If they are each translated 9 units down, they will not remain parallel.
Answer:
If they are each rotated 180° about the origin, they will not remain parallel.
If they are each translated 7 units to the left, they will remain parallel.
If they are each rotated 270° about the origin, they will remain parallel.
Step-by-step explanation:
I got them!!!!!!!!!!!!!!!!
If they are each rotated 180° about the origin, they will not remain parallel, If they are each translated 7 units to the left, they will remain parallel and If they are each rotated 270° about the origin, they will remain parallel are true statements.
What is Coordinate Geometry?Coordinate geometry (or analytic geometry) is defined as the study of geometry using the coordinate points.
Parallel lines are coplanar infinite straight lines that do not intersect at any point.
Among the given statements the following are true.
If they are each rotated 180° about the origin, they will not remain parallel.
If they are each translated 7 units to the left, they will remain parallel.
If they are each rotated 270° about the origin, they will remain parallel.
Hence, If they are each rotated 180° about the origin, they will not remain parallel, If they are each translated 7 units to the left, they will remain parallel and If they are each rotated 270° about the origin, they will remain parallel are true statements.
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Solve for x, rounding to the nearest hundredth.
2^4x = 36
Answer:
5/4
Step-by-step explanation:
36 is the 5tf power of 2 so we can rewrite the equation as
[tex] {2}^{4x} = {2}^{5} [/tex]
Since the expressions has same base the powers must be equal to
4x = 5 and x = 5/4
PLEASE PLEASE PLEASEEEEE HELP!!!
Step-by-step explanation:
Volume of cylinder
= πr²h
= π×3²×6
= 54π
= 169.56units³
Question 1)
What is the rate of change of the linear relationship modeled in the table
Answer:
No
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
sorry
Marvin went on a shopping trip to Belleville. He purchased a grandfather clock originally
priced at $875 but discounted 60%. If sales tax in Belleville is 10%, what was the total cost?
Answer:
$385
Step-by-step explanation:
60% of $875 = $525
$875 - $525 = $350
10% of $350 = $35
$350 + $35 = $385
Nick is on his school's swim team. During his 2-week winter break, he swims 30 laps each week to stay in shape. If each lap is 25 yards, how many feet does he swim during his winter break? Feet
Answer:
3900 feet
Step-by-step explanation:
Steps to answer this question
We are to convert yards to feet Multiply laps sum by two to determine the number of laps he swam in two weeksthen multiply figures gotten from 1 and 21 yard = 3 foot
25 yards = 25 x 3 = 65 foot
total yards swam = 30 x 2 = 60
60 x 65 = 3900
does anyone know how to do this
Answer:
Step-by-step explanation:
tanx=4/12
x=arctan(4/12)
x=18.4 degrees
Harold is designing a patio with congruent square concrete tiles. He has 72 tiles. Use grid paper to model all the possible rectangular patios Harold could build. Label the dimensions in units. Which patio has the greatest perimeter? The least perimeter?
Answer:
(a) The possible dimensions are:
1 unit by 72 units; 2 units by 36 units; 3 units by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units
(b): Patio with greatest and the least perimeter
The dimension with the greatest perimeter is: 1 by 72
The dimension with the least perimeter is: 8 by 9
Step-by-step explanation:
Given
[tex]Tiles = 72[/tex]
Solving (a): Possible rectangular models
To do this, we simply list out the possible factor pairs of 72.
So, we have:
1 unit by 72 units; 2 units by 36 units; 3 units by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units
Solving (a): Models with the least and the greatest perimeter
Perimeter (P) is calculated using:
[tex]P = 2 * (L + W)[/tex]
So:
1 unit by 72 units;
[tex]P = 2 *(1 + 72) = 146 units[/tex]
2 units by 36 units;
[tex]P = 2 *(2 + 36) = 76 units[/tex]
3 units by 24 units;
[tex]P = 2 *(3 + 24) = 54 units[/tex]
4 units by 18 units;
[tex]P = 2 *(4 + 18) = 44 units[/tex]
6 units by 12 units;
[tex]P = 2 *(6 + 12) = 36 units[/tex]
8 units by 9 units
[tex]P = 2 *(8 + 9) = 34 units[/tex]
From the calculations above:
The dimension with the greatest perimeter is: 1 by 72
The dimension with the least perimeter is: 8 by 9
help pleaseeee. this makes no sense
9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
It can be helpful to write down corresponding sides and their measures.
AB = 5, PQ = 6
BC = 3, QR = x
CD = 2, RS = 2.4
DA = 4, SP = 4.8
Then you can look for easy ways to find x. You can tell from this table that all of the values in PQRS are 6/5 = 1.2 times the corresponding values in ABCD.
Then ...
QR = 1.2×BC = 1.2×3
QR = x = 3.6
_____
Other ways you can figure x are ...
x/BC = PQ/AB
x = (BC)(PQ/AB) = 3(6/5) = 3.6 . . . . the method we used
__
x/RS = BC/CD
x = 2.4(3/2) = 3.6
__
x/SP = BC/DA
x = 4.8(3/4) = 3.6
A company makes 140 bags
30 of the bags buttons but no zips.
27 of the bags have zips but no buttons.
20 of the bags have neither zips or buttons.
How many bags have zips on them
Answer:
90 bags have zips on them.
Step-by-step explanation:
140 bags - total
30 bags - no zips + buttons
27 bags - zips + no buttons
20 - no zips + no buttons
------
140 - 30 = 110
110 - 20 = 90
If 48% of the students in a certain college are female and there are 2,400 female students, how many students are male?
Answer:
2,600 male students
Step-by-step explanation:
[tex]\frac{2,400}{0.48} = 5,000[/tex]
There are 5,000 students in total.
Since 2,400 of them are female, the remaining students must be male.
5,000 - 2,400 = 2,600 male students
Tom drives 200 miles in 4 hours.
He drives the first 32 miles at an average speed of 64 mph
Work out his average speed for the rest of the journey, in mph.
Please help??
His average speed for the rest of the journey was of 48mph.
please solve!! 2(x+1)=x-7
Answer: Solution
=
−
9
Step-by-step explanation:
Answer:
answer is x = -9
Step-by-step explanation:
2x+2=x-7
x= -9
What value of y will make the equation true? The square root of 34 times the square root of y = 34
The perimeter of a triangular field is 748 metres. The lengths of the three sides of the field are in the ratios 2 : 7 : 8. Calculate the length, in metres, of the largest side of the field.
Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces?
Answer:
the package weights 200 ounces
Kiran has $100 saved in a bank account. (The account doesn’t earn interest.) He asked Clare to help him figure out how much he could take out each month if he needs to have at least $25 in the account a year from now.
He could take out $6.25 for each month and at the end $25 also left in his account.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the data given in the question,
The total amount Kiran is having in the bank = $100
He needs to have at least $25 in the account at the end of the year.
So, the money he can spend in a year = $100 - $25 = $75
1 year = 12 months
So, the amount of money spent per month will be,
75/12 = $6.25
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URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pts)
Angle O=64
Side m=7.3159882(rounded if needed)
Side n=16.68902(round if needed)
We are given
Angle M which equal 26.
Angle N equals 90 degrees
Side MN which equal 15.
We are asked to find all the missing elements of the triangle.
Angle O can be found using triangle interior theorem so we can add 90+26+x =180 to find the value that satisfies the x value.
[tex]90 + 26 + x = 180[/tex]
[tex]116 + x = 180[/tex]
[tex]x = 64[/tex]
Angle O=64 degrees
We can find side m by doing law of sines.
[tex] \frac{on}{ \sin(26) } = \frac{mn}{ \sin(64) } [/tex]
[tex] \frac{on}{ \sin(26) } = \frac{15}{ \sin(64) } [/tex]
[tex]on = \frac{15}{ \sin(64) } \times \sin(26) [/tex]
which is 7.315(round if neeeded).
We can find side n using pythagorean theorem,
[tex] {15}^{2} + {7.3}^{2} = {n}^{2} [/tex]
[tex]225 + 53.29 = {n}^{2} [/tex]
[tex] \sqrt{278.29} [/tex]
Side n=16.689(round if needed)
Can someone explain this to me please will give brainliest
Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the perimeter of the porch?
A.30
B.40
C.50
D.60
Monique bought 3 boxes of cereal at the grocery store. Each box of cereal costs c dollars. Which equation represents the total amount of money, t, Monique spent on cereal?
Answer:
3c = t
Step-by-step explanation:
3 cereal boxes is 3c and the total is t. so 3c = t
Answer:
3c = t
3 is the amount of boxes, c is the money, therefore, it is 3c=t, which means c times the number of boxes equals t
Which planet in the chart is most likely Earth? Yeah
Does somone no the answer
Answer:
Kepler-452b has a probable mass five times that of Earth, and its surface gravity is nearly twice as Earth's, though calculations of mass for exoplanets are only rough estimates. If it is a terrestrial planet, it is most likely a super-Earth with many active volcanoes due to its higher mass and density.Step-by-step explanation:
Determine the length of the line segment with the end points at (9, 6) and (-12, 6).
Answer:
Step-by-step explanation:
You are given two points whose y values are the same. There is no need to use the distance formula. The x values alone will give you the length of the line.
to get to the y axis you have to go 12 units to the right.
To get from the y axis to 9, you have to go 9 more units to the right.
The total is 9 + 12 = 21
If you insist to see this done with the formula, it would look like this.
d = sqrt( y2 - y1)^2 + (x2 - x1)^2 )
y2 = 6
y1 = 6
x2 = -12
x1 = 9
d = sqrt ( (6 - 6)^2 + (-12 - 9)^2 )
d = sqrt( 0 + ( -21 )^2 )
d = sqrt( 441)
d = 21 the same thing you got just be reasoning it out.
The first method works only if either both xs are the same or both ys are the same.
Two length of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth If necessary.
Leg: 28m; hypotenuse: 37m
Answer:
24.2
Step-by-step explanation:
Leg: 28m
Hypotenuse: 37m
To find the missing leg, use the following formula:
b = √[tex]c^{2} - a^{2}[/tex]
b = √[tex]37^{2} - 28^{2}[/tex]
b = √1369 - 784
b = √585
b = 24.18677
Round to the nearest tenth
24.18677 = 24.2
Round to 1 SF
0.00628
Answer:
0.006
Step-by-step explanation:
0.00628, has 3 significant digits. Rounding this number to 1 significant digit gives us 0.006
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