This is a plan view of a garden. The grass (shaded) has an area of 64 square metres. What is the length of the sides labelled x?
A. 5.5m
B. 6.0m
C. 6.8m
D. 9.0m
Please answer
Answers
The length of the sides of the square labelled x is b. 6.0 m.
Recall:
The formula for the area of a square with equal side, s, is given as s².Given that the grass area is 64 sq. meters, to find the length of the sides labelled x, first find the area tat has sides labelled x.
Area = Total area of the garden - 64 sq. m
Area = (10 × 10) - 64
Area = 36 sq. m.
Area of square = s²
Lex x = s
Therefore:x² = 36
Take the square root of both sidesx = 6 m
Therefore, the length of the sides of the square labelled x is b. 6.0 m.
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Related Questions
factorise this (x-6)(x+2)
Answers
Answer:
Its already in factored form.
Step-by-step explanation:
Answer:
x^2 - 4x - 12
Step-by-step explanation:
Using FOIL (first, outside, inside, last), multiply each term in the order:
you should get ---> x^2 + 2x - 6x - 12
now, add like terms
you should get ---> x^2 - 4x - 12
Help please (50 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent
Answers
Answer:
R3. alternate interior angles
( alternate interior angles are always congruent )
S4. AC = CA
R5. ASA triangle congruence property
( you have 2 angles and the included side, so you know they're congruent )
lmk if you want an actual explanation
Can someone please help me on this?
Correct Answer = 15 pts and Brainliest
Answers
Step-by-step explanation:
you can clarify on that please
Answer:
[tex]5xy^4[/tex]
Step-by-step explanation:
[tex]\frac{15x^3y^5}{3x^2y}[/tex]
= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]
= [tex]\frac{5xy^5}{y}[/tex]
= [tex]5xy^4[/tex]
what is the number of terms for 1000z + 800y
Answers
Answer:
2 terms
Step-by-step explanation:
hope this helps! :D
have a MIRACULOUS day!! <3
WILL GIVE BRAINLIEST! Given: ∆ABC, AB =√2. M ∈ AC, AM = 1. BM = 1, BC = 2. Find: m∠ABC
Answers
The measurement of ∠ ABC in [tex]\triangle ABC[/tex], When AB =√2, AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].
The measures of angle ∠ ABC can be calculated as:
The Law of Cosines, states that:
[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]
Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.
The sides of ∆ ABC will be :
AB = [tex]\sqrt{2}[/tex] (given)
BC = 2 (given)
[tex]AC = 1 + \sqrt{MC}[/tex]
∆ ABC is a triangle and according to the triangle inequality theorem, the The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So:
BC+AB > AC
[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]
[tex]\sqrt 2 +1 > \overline{MC}[/tex]
The law of cosines for [tex]\angle ABC[/tex] can be calculated as:
[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]
The values can be obtained by the substitution.
[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]
[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
This can be simplified as:
[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
The value of [tex]\overline{MC}[/tex] can be calculated as:
[tex]\sqrt 2+1 > \overline{MC}[/tex]
Substitute the value in the equation,
[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]
[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]
[tex]0 = 10 - 2.cos (\angle ABC)[/tex]
Thus, the value of cos [tex](\angle ABC)[/tex] is calculated as:
[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]
[tex]cos(\angle ABC) = 5[/tex]
Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].
Learn more about angles here:
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A 2 inch pulley on an an electric motor that runs at 600 rpm is connected by a non slip belt to a 4 inch radius pulley on a saw arbor. The radius of the saw blade is 8 inches.
A) Which of these quantities is the same for both the 2 inch and 4 inch radius pulleys? V, The Translational Speed OR W, The Rotational Speed.
B) Find the value of W in rads/min for the 2 inch radius pulley. Answer in terms of pi.
C) Find the value of W for the 4 inch radius pulley. Answer in terms of pi.
D) Find the Translational Speed, V, of a saw tath in inches/min. Answer in terms of pi.
Answers
B no ........................
9. The perimeter of the rectangle below is 65 inches.
2x
a. What is the value of x?
32x + 1
b. What are the dimensions of the rectangle?
Answers
65*2x=_________
32x+1=_________
x=65*2x=32x+1
`this is the solution `
Which is the graph of y = [x]-2?
Answers
Answer:
Step-by-step explanation:
number 1
f(x)=4x+6 g(x)=4x-6 if g(x)=f(x)+k what is the value of k
Answers
Answer:
k=-6-6=-12
Im pretty sure that's the answer
Find the value of x
please helppppp!!!!
Answers
Answer:
x = 3
Step-by-step explanation:
The two marked angles form a linear pair, so are supplementary. Their sum is 180°.
(3x +136)° +(5x +20)° = 180°
8x +156 = 180 . . . . . . . . . . . divide by °, collect terms
8x = 24 . . . . . . . . . . . . . . subtract 156
x = 3 . . . . . . . . . . . . . . divide by 8
_____
Additional comment
We suspect the intended answer for the second question is A 25° and 65°. These are possible measures for the acute angles in a right triangle, which must total 90°. No angle will be more than 90° (eliminates C and D), and the two smallest angles must total 90° (eliminates B).
if the tank length is 24 inch and width is 12 inch then how much litre of water is in it?
Answers
Answer:
Step-by-step explanation:
How to Estimate Aquarium Water Volume
You can estimate the amount of water that a tank can hold by using the volume formula for the shape of your tank. The process is similar to calculating tank volume for other tanks, but the formulas are a bit different for different aquarium shapes.
You’ll need a different formula to find the volume for rectangular, bow front, cylindrical, and other aquarium shapes.
Tank Volume Formulas
See the volume formulas for various aquarium fish tank styles below.
Rectangular Tank Formula
tank volume = l × w × h
l = tank length
w = tank width
h = tank height
Use the original price and the markdown to find the retail price.
Original price: $80; Markdown: 16%
Answers
Answer:
its b
Step-by-step explanation:
Answer:
The answer would be $67.2.
Step-by-step explanation: The answer would be $67.2. Take 80, divide it by 100 to get 1% of 80, 0.80. Now since you are taking 16% off the original price (100%), you multiply 0.80 (1%) by 84 (for 84% price), to get $67.2. This means, after the markdown, the 80$ item is now $67.2
4000 families were randomly selected for a survey. 50% of them read the newspaper in nepali language, 45% read it in English language and 25% read in neither of these languages. How many families read the newspaper in both the languages? Also find the number of families who read exactly one of these papers.
Answers
Answer:
2000 families read the newspaper in the Nepali language.
1800 families read it in the English language.
3800 families read the newspaper in both.
Step-by-step explanation:
#1. individual
convert % to decimal ( x ÷ 100 )
0.5 x 4000 = 2000
0.45 x 4000 = 1800
#2. together
2000 + 1800 = 3800
OR
50 + 45 = 95
95 ÷ 100 = 0.95
0.95 x 4000 = 3800
What temperature does the thermometer show?
Answers
Answer:
-2°C is the answer
Step-by-step explanation:
Hope this helps:)
For f(x) = 2x+1 and g(x) = x2 - 7, find (f+ g)(x).
=
A. x2 + 2x - 6
B. 2x3 - 6
C.x2 + 2x+8
D. 2x2 – 15
Answers
Answer:
the answer is A. it good answer
Using pennies, nickels, and dimes, how many
ways can you make 16 cents?
Answers
Answer:
16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.
Step-by-step explanation:
Answer:
1 dime, 1 nickel, 1 penny
Step-by-step explanation:
1 dime= 10 cents
1 nickel= 5 cents
1 penny= 1 cent
find the measure of each variable
Answers
Answer:
m∡r = 35°
m∡t = 145°
m∡u = 35°
m∡v = 90°
m∡w = 125°
Step-by-step explanation:
m∡r = 180-(134+11)
= 180 - 145
m∡r = 35°
m∡r + m∡t = 180°
35 + t = 180
m∡t = 145°
m∡t + m∡u = 180°
145 + u = 180
m∡u = 35°
m∡u + m∡v + 55° = 180°
35 + 55 + m∡v = 180
m∡v = 90°
m∡w + 55° = 180°
m∡w = 125°
On her multiple choice math test, 1720 of Lydia's answers are correct. What is the ratio of correct to incorrect answers for Lydia on her test?
Answers
Answer: [tex]\frac{17}3}[/tex] or 17:3
Step-by-step explanation:
Since Lydia got 17 out of 20 questions correct, that means she got 3 out of 20 incorrect. To get the ratio of correct (17) to incorrect (3) answers, we can simply divide the two numbers as follows:
[tex]\frac{17}3}[/tex] or 17:3
Since this ratio is already in simplest terms, this is the final answer.
can somebody help me/tell me how to do these?
Answers
Hi! I'll try to help
It gives you two equations, one for "x" and one for "y"
All you have to do is replace the variable "y" with its value in the second equation. Might be kind of confusing so let's do one.
y=4x
3x-y=1
Since we know that "y" is the same as 4x, you can rewrite the equation as
3x-4x=1
Next, all you have to do is combine like terms as solve "3x-4x" which is -x
Let's rewrite the equation, then:
-x=1
You can simplify it to
x=-1
by dividing both sides by negative one, in other words swapping the negative sign so that "x" is positive
About how many times larger is 12 x 10(4) compared with 3 x 10(5)?
0.3
0.4
0.9
1.2
*the ones in parentheses are exponents
Answers
0.4
Explanation:
when you simplify both terms you get 120,000 and 300,000. then you divide the first number by the second number, which gives you 0.4
hope this helps!
how does 9 + 9 = 6 ?
Answers
Answer:
it does not, it equals 18
Step-by-step explanation:
9+9=18 - true
9+9=6 - false
I need help. what is the slope?
(The bottom one says : (-1, -6)
Answers
Ok done. Thank to me :>
Is there a proportional relationship between category 1 and Category 2 in the table below
Answers
Answer: Please upload the image or PDF.
The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Please show work
Answers
Answer:
length = 18 ft
Step-by-step explanation:
A(rect) = 9l
A(trap) = 1/2(9)(24+12) → 4.5(36) → 162
9l = 162
l = 162/9
l = 18
=====================================================
How to get the answer:
We first need to compute the area of the trapezoid
area of trapezoid = height*(base1+base2)/2
A = h*(b1+b2)/2
A = 9*(12+24)/2
A = 9*(36/2)
A = 9*18
A = 162
The trapezoid has an area of 162 square feet.
---------
The rectangle also has an area of 162 sq ft.
area of rectangle = length*width
A = L*W
A/W = L
L = A/W
L = 162/9
L = 18
The length of the rectangle is 18 feet.
---------
Side note: both rectangle and trapezoid have the same height (9 feet). Notice how the average of the 12 ft and 24 ft sides leads to 18 ft, which is exactly the value of L. It's not a coincidence these two facts line up.
The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?
Answers
Explanation:
Let x = the first number
Let y = the second number
From what they give us, we know:
x - y = 56
5y = x + 4
Either one of the equations can be rearranged and substituted into the other equation to find one variable, or number.
5y = x + 4
5y - 4 = x or x = 5y - 4
x - y = 56
5y - 4 - y = 56
4y - 4 = 56
4y = 60
y = 15
To find the other variable (number), substitute that value in either equation.
x - y = 56
x - 15 = 56
x = 71
To check the solutions, substitute both variables into each equation to make sure they work.
x - y = 56
71 - 15 = 56
56 = 56
5y = x + 4
5*15 = 71 + 4
75 = 75
What is the value of t?
t − 122 = 2t − 3
A. t = -2
B. t = -6
C. t = 6
D. t = 2
Answers
Answer:
-39 2/3
Step-by-step explanation:
t - 122= 2t - 3
subtract 't' from each side to get:
-122 = 3t - 3
add 3 to each side to get:
-119 = 3t
divide each side by 3 to get:
t = -39 2/3
A line passes through the points (9,6) and (6,5). What is its equation in slope-intercept form?
Answers
Answer:
Y=X/3+3
Step-by-step explanation:
M= Y2-Y1/X2-X1
= 5-6/6-9
= -1/-3
= 1/3
sub x=6, y=5, M=1/3 into Y=MX+C
5=6/3+C
5=2+C
5-2= 2+C-2
3=C
5/6 x 9/5...............................................................help asap
Answers
Step-by-step explanation:
5/6 ×9/5
Multiply the denominators and the numerators separately; that is:
5×9 and 6×5
45 and 30
=45/30
=3/2(simplified)
Answer:
1.5
Step-by-step explanation:
Help me with my math work please! Whoever helps gets 50 points! Thnx!
Answers
Answer:
6) y=-2
7) w=15
8) x=1
Help please serious answers only
Answers
Step-by-step explanation:
1 Use the Quadratic Formula.
x=\frac{2+2\sqrt{14}\imath }{30},\frac{2-2\sqrt{14}\imath }{30}
x=
30
2+2
14
,
30
2−2
14
2 Simplify solutions.
x=\frac{1+\sqrt{14}\imath }{15},\frac{1-\sqrt{14}\imath }{15}
x=
15
1+
14
,
15
1−
14
Done