Answer:
Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.
Step-by-step explanation:
Representing the length of the garden by l and width of the garden by w.
For turner's garden, given that l= 24 yards and w= 17 yards.
As the area, A, of the rectangular garden having length l and width w is
So, the area of Ms. Turner's garden, = 24x17=408 sq. yards
For turner's garden, given that l= 5 yards and w= 138 yards.
So, by using equation (i),
the area of Mr. Webster's garden, = 5x138=690 sq. yards
Here, [tex]A_2 > A_1[/tex], and
= 690-408= 282 sq. yards.
Hence, Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.
Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that? ___minutes How many laps per minute is that? ___ laps If Lin runs 21 laps at the same rate, how long does it take her? ___minutes
Answer:
a. 1.2 minutes
b. 0.83 laps
c. 25.2 minutes
Step-by-step explanation:
Lin runs 5 laps around a track in 6 minutes.
a. How many minutes per lap is that?
5 laps = 6 minutes
1 laps = x minutes
Cross Multiply
x minute × 5 laps = 6 minutes × 1 laps
x minute = 6 minutes × 1 laps/5 laps
x laps = 1.2 minutes
Hence, it is 1.2 minutes per lap
b. How many laps per minute is that?
6 minutes = 5 laps
1 minute = x laps
Cross Multiply
6 minutes × x laps = 1 minute × 5 laps
x laps = 1 minute × 5 laps/6 minutes
x laps = 0.8333333333 laps
Hence, it is 0.83 laps per minute.
c. If Lin runs 21 laps at the same rate,
5 laps = 6 minutes
21 laps = x minutes
Cross Multiply
x minute × 5 laps = 6 minutes × 21 laps
x minute = 6 minutes × 21 laps/5 laps
x laps = 25.2 minutes
Hence, it takes her 25.2 minutes
You multiply the dimensions of Triangle A by 4 to create Triangle B. Select the conclusion(s) that you can make about the similar triangles.
1.The ratio of the perimeters (Triangle A to Triangle B) is 14.
2.The ratio of the perimeters (Triangle B to Triangle A) is 1 to 4.
3.The ratio of the areas (Triangle A to Triangle B) is 1 to 8.
4.The ratio of the areas (Triangle B to Triangle A) is 16 : 1.
5.There is not enough information to make any of the conclusions above.
Answer:
5
Step-by-step explanation:
there is not enough info to because we do not have the detentions are the difference of triangle A or B
Find the values of x and y by writing two equations and solving the system of equations.
Answer:
y=2 x=5
Step-by-step explanation:
3x-2y=11
2x-3y=4
you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3
6x-4y=22
+ -6x-9y=12
--------------------------
0x+5y=10
y=2
you plug that in either equation
3x-2(2)=11
3x-4=11
3x=15
x=5
The vertices of a triangle are A(-2, 1), B(2, 2) and C(6, - 2).
Find the equation of the altitude of AD drawn from A to BC.
Answer:
The equation of altitude AD drawn from A to BC will be:
[tex]y=x+3[/tex]
Step-by-step explanation:
Let m₁ and m₂ be the slope of line AD and BC respectively.
Now, AD⊥BC
∴ m₁ × m₂ = -1
be the slope of line AD and BC respectively.
⇒ m₁ = -1/m₂ → (A)
Finding the slope of BC using points
B(2, 2)
C(6, - 2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]
[tex]m_{2} =\frac{-2-2}{6-2}[/tex]
[tex]m_{2} =-1[/tex]
On substituting the value of m₂ in equation (A)
m₁ = -1/m₂
= -1/(-1)
= 1
We know that the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
∴ Equation of altitude AD passing through A(-2, 1) with slope 1 will be
[tex]y-1=1\cdot \left(x-\left(-2\right)\right)[/tex]
[tex]y-1=x+2[/tex]
[tex]y=x+3[/tex]
Therefore, the equation of altitude AD drawn from A to BC will be:
[tex]y=x+3[/tex]
Is y=2x-4 a linear equation?
Answer:
Yes
Step-by-step explanation:
When graphed, the equation will produce a straight line, making it linear.
What is the period of y = 4Cos(2x)?
) Multiply (x − 4)(x2 − 5x − 6). x3 − 9x2 + 14x + 24 x3 − x2 + 26x + 24 x3 − 5x2 + 10x + 24 x3 − 15x2 + 20x + 24 Question 10(Multiple Choice Worth 6 points) (01.03 MC) Solve for all possible values of x. square root of the quantity x minus 8 end quantity minus 3 equals 1 x = −4 x = 8 x = 12 x = 24
9514 1404 393
Answer:
A. x^3 − 9x^2 + 14^x + 24
Step-by-step explanation:
(x − 4)(x^2 − 5x − 6) = x(x^2 − 5x − 6) -4(x^2 − 5x − 6)
= x^3 -5x^2 -6x -4x^2 +20x +24
= x^3 +x^2(-5-4) +x(-6+20) +24
= x^3 − 9x^2 + 14x + 24 . . . . matches the first choice
Answer:
The other person is right it is "x^3 − 9x^2 + 14x + 24"
Step-by-step explanation:
They showed their work so i felt like u could just look at theirs!!!
Xoxo
How do I work out 5 divided by 102.05???
Thanks to kasey1476443 for giving me the answer. She is a HERO!!!
I have one question how do I work out 5 divided by 102.05? You can add a picture when you comment.
Answer:
0.04899559039
Step-by-step explanation:
I put it in the caculator
Answer: The answer is 20.41
Step-by-step explanation:
−4y−4+(−3)
is anyone on that can help with this question I'm an idiot and can figure it out please help
Answer:
soln
-4y-4-3
-4y-7
- (4y+7)
Please help!
Show your work if you can!
Thank you!
Answer:
4
Step-by-step explanation:
your slope-intercept will be 4
Answer:
y = 4x + 5
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 )
y = 4x - 3 ← is in slope- intercept form
with slope m = 4
Parallel lines have equal slopes
Thus parallel line has m = 4 and c = 5
y = 4x + 5 ← equation of parallel line
4 ) Here is an explanation that the angle sum of triangle ABC is 180º.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
Answer:
Thank you and please rate me as brainliest as it will help me to level up
3/4
(x−12)=12
will mark brainlyest
Answer:
x = 24, if thats wat ur asking.
Answer:
x = 28
Step-by-step explanation:
its division come on
what is halfway between 5.3 and 5.4
Answer:
5.3 1/2
Step-by-step explanation:
I WILL MARK BRAINIEST
please answer question 4
It shows the one I got wrong so please don’t choose that one
Answer:
C is the correct one.
Step-by-step explanation:
You can find answer by RHS rule of congruency.
RHS stands for Right angle, Hypotenuse, and Side
Answered by,
Z.Khan,
India
Find the product of 3 1/5 and 7 1/4. Express your answer in simplest form.
Answer:
Step-by-step explanation:
3 1/5 * 7 1/4= 23 1/5
What’s the value of p? Just type in the answer!!!
Answer:
The interior angles of any triangle equal 180.
This is an iscocleles triangle meaning p and i or the base angles are equal.
With those rules we see that 48°+p+I=180
p+I=132
132/2=66
therefore P and I equal 66
P=66°
Step-by-step explanation:
Which word describes the slope of the line?
o positive
O negative
O zero
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Given: a and b are parallel and c is a transversal. Prove: ∠2 ≅ ∠7 Parallel lines b and a are cut by transversal c. On line b where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 5, 6, 2. On line a where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 3, 7, 8, 4. Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent. We know that lines a and b are parallel and that line c is a transversal because that is given. We can tell that angles 2 and 5 are congruent because angles are congruent. Angles 5 and 7 are congruent because angles by parallel lines cut by a transversal are congruent. Therefore, angles 2 and 7 are congruent based on the
Answer: vertical,corresponding,transitive property
Step-by-step explanation:
Answer:
vertical
corresponding
transitive property
Step-by-step explanation:
just took the test
The Lugar family spends spring break camping. The campground charges a $5 entrance fee plus $10 per night to camp in the park. Which of the following graphs best represents the relationship between the number of nights the Lugar family camps and the cost?
Answer:
(0,5) , (1,15) , (2,25) , (3,35) , (4,45) {the cords for the answer because it might be different for you. Also this is not a straight line they are dots.
Step-by-step explanation:
For one night, you have to pay $5 for an entry fee, and $10 for a night. Which means its $15 for one night. This increases every night.
3/5 + 1/2 in simplest form
Simplified it would be [tex]\frac{11}{10}[/tex].
How do I do 3 x 10^5
Answer: 3(10^5)
=3*10^5
=3*(10*10*10*10*10)
=300000
This is how you should do It, just when it is squared you should times the number like up here you times 10 times 10 5 times so if you see it you don't times it by 5 you do 10 times 10 times 10 times 10 times 10 like this
You should get it now
Have a good day
Yours,
Nathaniel
Step-by-step explanation:
101.101 correctly written out in words
Answer:
One hundred one and one hundred one thousandths
Step-by-step explanation:
Answer:
Step-by-step explanation:
basicliy he's saying c
wich is true:)
100 freaking points get it right
Answer:
1
1
2
im sure you know what this means
Step-by-step explanation:
Answer:
cool guy dont know
Step-by-step explanation:
Divide $63 among three men in the ratio 1/2 : 1/4 : 1/8. How much will each get?
Answer:
1st: $36
2nd: $18
3rd:$9
Step-by-step explanation:
The first man gets 4
The second gets 2
The third gets 1
4 + 2 + 1 = 7
63/7 = 9
Each part equals $9
9*4 = 36
9 * 2 = 18
9 * 1 = 9
Check:
36 + 18 + 9 =
63
Which model represents the product 6×34?
Answer:
204 is the answer
Step-by-step explanation:
204 is the answer
Paki heart nalang po kung nakatulong
Answer:
its the 3rd
Step-by-step explanation:
What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?
Answer:
The image of (2,3) after a reflection over the given line will be: (-3,-2)
Step-by-step explanation:
The given point is (2,3)
Let (x,y) be a point, when it will be reflected over the line y=-x the coordinates are exchanged and are negated i.e. point (x,y) becomes (-y,-x)
When a point is reflected over a line the distance between the image of point and the line remains the same as the distance between original point and line.
Given point will become: (-3,-2)
Hence,
The image of (2,3) after a reflection over the given line will be: (-3,-2)
Answer:
(−2,3)
Step-by-step explanation:
im just assuming that its was and accedent to add extra
Which value shows the constant of proportionality for the equation y = 15x?
y
15
x
15x
Answer:
Step-by-step explanation:
15x because its not multiplying or dividing or adding and subtracting
There are 2,560 fl oz. in a fish tank, how many gallons is the fish tank? help me !!!!!
Answer:
Your answer would be 12
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my best to get you a better answer! :)
Ella is making beaded bracelets to sell at a craft fair. It takes 76 inches of string to make 19 bracelets.
The Answer:
The Cop= 4
What is 15 % converted into numbers, or 120$ increased by 15%