Answer:
4m X 6m
Step-by-step explanation:
This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.
What is reflexive property of congruence?The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.
Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.
He divides his usable space into four congruent rectangular patches.
If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
Learn more about congruent triangles here:
https://brainly.com/question/16921692
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1/3 of 12 =2/3 of PLEASE HELP ME!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
Let the number be x.
1/3 × 12 = 2/3 × x
Multiply.
12/3 = 2/3x
4 = 2/3x
Multiply both sides by 3/2.
4 × 3/2 = x
12/2 = x
x= 6
Answer:
1/3 of 12 = 2/3 of 6
Step-by-step explanation:
1/3 · 12 = 2/3 · x
12/3 = 2x/3
Multiply 3 on both sides.
12 = 2x
12 ÷ 2 = x
6 = x
Please help me with this question.
Answer: a) 110√2 meters
b) 2.42 hectares
Step-by-step explanation:
a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse. Therefore, the sides are length x and the diagonal is length x√2.
[tex]x\sqrt2=220\\\\\\x=\dfrac{220}{\sqrt2}\\\\\\x=\dfrac{220}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\x=\large\boxed{110\sqrt2}[/tex]
b) Area of a square is side squared. 10,000 meters² = 1 hectare
[tex]A=(110\sqrt2)^2\\\\.\quad =(110)^2(\sqrt2)^2\\\\.\quad =12100(2)\\\\.\quad =24200\ \text{meters}^2\\\\.\quad =\large\boxed{2.42\ \text{hectares}}[/tex]
A restaurant offers 6 choices of appetizer, 8 choices of main meal, and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?
Step-by-step explanation:
For one course:
6+8+5=
Two courses with appetizers and main meals (* means times)
6*8
Two courses with appetizers and dessert
6*5
Two courses with main meals and dessert
8*5
Please help me with this question!!
Answer: Choice B) The conjecture is valid given the focus is on proportional equivalence of two sectors.
This is another way of saying "the two pie slices are the same percentage in area". By this, I mean the percentage of the entire cake. For instance, the shaded slice could be 20% of the entire circle area, for each circle.
It's probably easier to see this is the angle was 90 degrees (split the cake into 4 equal slices, only shade one slice). Or probably even easier if you cut the cake into two slices and only shade one slice (to form a central angle of 180 degrees). For the first example, the slice would be 25% of the whole area, while the second slice is 50%.
Choice C is close, but the two sectors are not the same area. This is because the bottom circle has a larger radius, and therefore its sector area is larger.
Please help me ima give BRAINLIST
Answer:
53
Step-by-step explanation:
We know the first term and common difference so we can write the explicit formula. The formula is:
aₙ = a₁ + (n - 1)d
aₙ = 8 + (n - 1) * 3
aₙ = 3n + 5
This means that a₁₆ = 3 * 16 + 5 = 53
by using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1 = 8 and d = 3,
A16=A1 + (n-1) d
A16=8 + (16-1) (3)
A16 = 53
I hope I helped! Be safe!
PLEASE HELPPP ASAP. I WILL GIVE BRAINLIEST!!!
Answer:
Factors: 5x, 3x²y⁵ Not Factor: 10x⁴y³
Step-by-step explanation:
5x is a factor because 15x²y⁶= 5x•3xy⁶
3x²y⁵ is a factor because 15x²y⁶ = 3x²y⁵•5y
10x⁴y³ isn't a factor because 15:10=1.5 isn't integer
can someone in here help me with this question I'm stuck and I don't know to do it
Answer:
Substitute -3,-2,-1,0,1,2,3 in d equation given to u at first to complete the table
What is the Square root of -100
Answer:
[tex]10i[/tex]
Step-by-step explanation:
√(-100)
Use the imaginary number rule [tex]i=\sqrt{-1}[/tex]
√(-1) × √(100)
i × √(10²)
i × 10
= 10i
Answer:
It does not have a square root because it is a minus digit.
Step-by-step explanation:
The square root of one number is the number which is multiplied by itself to form the square number.
But, no negative number has a square root, because
- x - = +
+ x + = +
As you can see, no two same signs multiply together to form a negative.
Hope this helps.
Good Luck
SHOW YOUR WORK!!!!! Best answer gets brianliest :))
Answer:
6) g = 11p
7) This equation is an example of direct variaction because it is proportional because can make a slanted line with the equation C = 6g + 15
Step-by-step explanation:
Well to find g we seperate g and combine like terms,
[tex]81 = 6g + 15[/tex]
So we subtract 15 from both sides 66 = 6g,
66/6 = 11.
So g = 11.
Which property can be used to solve the equation? StartFraction d Over 10 EndFraction = 12 addition property of equality subtraction property of equality multiplication property of equality division property of equality
Answer:
multiplication property of equalityStep-by-step explanation:
Given the equation d/10 = 12. To get the value of d, the follwoing steps can be used to solve for the value of d;
Multiply both sides by 10
d/10 * 10 = 12*10
d = 120
It can be seen from the calculation above that multiplication operation was used to get the solution to the equation. It can therefore be concluded that the multiplication property of equality was used to solve the equation.
PLEASE HELP ME! IM REALLY CONFUSED!
The graph below shows the price of different numbers of beach balls at a store: Which equation can be used to determine p, the cost of b beach balls? b = 5.50p p = 5.50b p = 11b b = 11p
Answer:
p = 5.50b
Step-by-step explanation:
2 beach balls cost 11
4 beach balls cost 22
6 beach balls cost 33
So each (1) ball b costs 5.50 ($) p
On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is not necessarily true? A. GH = G'H' B. G'G = 8 units C. m∠HIJ = m∠H'I'J' D. m∠HI'J = m∠H'IJ'
Answer:
The answer would be letter B. This is because the problem wants you to find the equation that is not necessarily true. In this case G'G does not equal 8 units.
What do the Nineteenth Amendment and the Indian Citizenship Act of 1924
have in common?
O A. They both affected American Indians directly.
O B. They both allowed certain Americans to own property.
O C. They both permitted free expression with some restrictions.
O D. They both provided suffrage to a group of Americans.
Answer:
D
Step-by-step explanation:
Suffrage is the right to vote, and the nineteenth amendment gave women the right to vote, and the indian citizenship act of 1924 gave native americans the right to vote
what are the soultions of 3(x-4) (2x-3)= 0 check all
Answer:
{3/2, 4}
Step-by-step explanation:
Set x - 4 = 0 and solve for x: x = 4 is a solution.
Seet 2x - 3 = 0 and solve for x: 3/2 is another solution.
Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area of 24 square units. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Step-by-step explanation:
Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.
Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
it is D just took the test
Step-by-step explanation:
What is the 5th equivalent fraction to 1/11 ?
Answer: 5/55
Step-by-step explanation:
1/11 x 5 = 5/55
So, the fifth equivalent fraction to 1/11 is 5/55.
The 5th equivalent fraction should be [tex]5\div 55[/tex]
Calculation of the equivalent fraction:Since the fraction is [tex]1\div 11[/tex]
So here the 5th equivalent should be
[tex]= 1\div 11 \times 5\div 5[/tex]
= [tex]5\div 55[/tex]
Here 5 represent the numerator and 55 represent the denominator.
Therefore, we can concluded that The 5th equivalent fraction should be [tex]5\div 55[/tex]
Learn more about fraction here: https://brainly.com/question/1786648
When Gene and Kelly were planning their trip to Paris, one United States dollar was worth about $\frac{7}{10}$ of a euro. Before they left, they took 1,000 dollars to the bank and converted them into euros. Two weeks later, they returned home to the United States with 196 euros. To the nearest dollar, how many dollars did they bring back?
Answer:
$280 dollars
Step-by-step explanation:
When they were leaving
[tex]\$1 \approx \frac{7}{10}$ Euro\\Therefore:\\\$1000 \approx \dfrac{7}{10}\times 1000 =700$ Euro[/tex]
When they returned home, they brought 196 Euros.
[tex]If\:\:\$1 \approx \frac{7}{10}$ Euro\\Then: 1 Euro $=\$ \dfrac{10}{7}\\\\$Therefore:\\\\196 Euros = \$ 196 \times \dfrac{10}{7} =\$280[/tex]
They brought back $280 dollars to the United States.
Answer:
They brought back 280 dollars.
Step-by-step explanation:
From the question, one United States dollar was worth about $\frac{7}{10}$ of a euro implies that:
$1 = 7/10 euro, or 0.70 euro. That is, the exchange rate is $1:0.70 euro.
The equivalence of the exchange $1:0.70 euro can also be obtained by dividing both sides by 0.70 as follows:
$1 / 0.7 = 0.7 / 0.7 => $1.43:1 euro. That is, $1.43 is equal to one euro.
Since they returned with 196 euros and $1.43 is equal to one euro, we will simply multiply 196 euros by $1.43 to obtain the amount of dollars they brought back as follows:
Amount of dollars they brought back = $1.43 * 196 = $280 to the nearest dollar.
Therefore, they brought back 280 dollars.
The number of squares that are required to fill a rectangle of 512 cm by 108 cm, if each square of length 8 cm is _____________. a. 838 b. 864 c. 752 d. 440
Answer:
864
Step-by-step explanation:
512÷8=64
108÷8=13.5
64×13.5=864
Answer:
b) 864 squares
Step-by-step explanation:
A(rectangle) = 512cm x 108cm = 55296 cm²
A(square) = 8cm x 8cm = 64 cm²
Ar/As = 55296cm²/64cm² = 864 squares
x is partly constant and partly varies with y. When y=3, x = 7 and when y = 6, x = 9. Find x when y = 4
Answer:
x=23/3
Step-by-step explanation:
x=c+ay
7=c+3a | *(-1)
9=c+6a
-7=-c-3a
9=c+6a
------------
9-7=c-c+6a-3a
2=3a
a=2/3
7=c+3*2/3
7=c+2
-2 -2
5=c
so x=5+2/3*y
when y=4 then x=5+2/3*4=5+8/3
x=15/3+8/3
x=23/3
Please answer for brainliest!!!Find the equation of a line that passes through the point (-2,1) and has a gradient of 3. Leave your answer in the form ax+by=c Where a, b and c are integers
Answer:
3x - y = - 7
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 2, 1) , thus
y - 1 = 3(x + 2) ← distribute
y - 1 = 3x + 6 ( subtract 6 from both sides )
y - 7 = 3x ( subtract y from both sides )
- 7 = 3x - y, that is
3x - y = - 7 ← in standard form
Please sb help and write it down on paper then send a pic❤️
Answer:
Step-by-step explanation:
1) We would determine the cube root of 27 and find its square.
Cube root of 27 = 3
3² = 9
Solution = 9
2) 36³ = 46656
√36³ = √46656 = 216
3) we would find the 5th roof of - 243 and find its cube
5th root of - 243 = - 3
- 3³ = - 27
Solution = - 27
4) Looking at the expression, 40⅔, we can see that
a = 2
b = 3
c = 40
Answer: 1) We would determine the cube root of 27 and find its square.Cube root of 27 = 33² = 9Solution = 92) 36³ = 46656√36³ = √46656 = 2163) we would find the 5th roof of - 243 and find its cube5th root of - 243 = - 3- 3³ = - 27Solution = - 274) Looking at the expression, 40⅔, we can see that a = 2b = 3c = 40
Step-by-step explanation:
What is the volume of the cone with a diameter of 4ft and height 4ft round to the nearest cubic foot
Answer:
67
Step - Step - Explanation
Please Help...Anyone? I am revising for a test tomorrow, so please explain how you get the answer, too.. The ratios of the ages of Sunil and his Wife is 4:3. After 4 years, the ratio will be 9:7. What is the present age of Sunil
Answer:
32 years old
Step-by-step explanation:
Please see attached picture for full solution.
Let Sunil's present age be 4x and his wife's present age be 3x.
Trey is running for president of the chess club, and he received 8 votes. There are 80 members in the club. What percentage of the club members voted for Trey?
Answer:10
Step-by-step explanation:
8/80=1/10*100=10
Which methods could you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and (0, -12)?
Answer:
add the y coordinates of the two lines and divide by 2
Step-by-step explanation:
½[0+(-12)]
½[0-12]
½[-12)
y co-ordinate of the midpoint is -6
please help, tysm if you do
the length of a rectangle is 2 cm less than three times the width. the perimeter of the rectangle is 92 cm. find the dimensions of the rectangle. A. 11, 31 cm
B. 12, 34 cm
C. 12, 38 cm
D. 13, 37 cm
Answer:
I hope it will help you.......
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the circle equations in general form with their corresponding equations in standard form. x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0
Answer:
1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]
2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]
3) For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex], the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
4) For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex], the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex], the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
6) For[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]
Step-by-step explanation:
This can be done using the completing the square method.
The standard equation of a circle is given by [tex](x - a)^2 + (y-b)^2 = r^2[/tex]
1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex]
[tex]x^2 - 4x + y^2 + 12y = 20\\x^2 - 4x + 2^2 + y^2 + 12y + 6^2 = 20 + 4 + 36\\(x-2)^2 + (y+6)^2 = 60\\[/tex]
Therefore, for [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]
2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex]
[tex]x^2 + 6x + y^2 - 8y = 10\\x^2 + 6x + 3^2 + y^2 - 8y + 4^2 = 10 + 9 + 16\\(x + 3)^2 + (y- 4)^2 = 35\\[/tex]
Therefore, for [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]
3) For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex]
Divide through by 3
[tex]x^2 + y^2 + 4x + 6y = 5[/tex]
[tex]x^2 + y^2 + 4x + 6y = 5\\x^2 + 4x + 2^2 + y^2 + 6y + 3^2 = 5 + 4 + 9\\(x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
Therefore, for [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex], the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
4) For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex]
Divide through by 5
[tex]x^2 + y^2 - 2x + 4y = 6[/tex]
[tex]x^2 + y^2 -2x + 4y = 6\\x^2 - 2x + 1^2 + y^2 + 4y + 2^2 = 6 + 1 + 4\\(x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
Therefore, for [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex], the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex]
Divide through by 2
[tex]x^2 + y^2 - 12x - 8y = 4[/tex]
[tex]x^2 + y^2 - 12x - 8y = 4\\x^2 - 12x + 6^2 + y^2 - 8y + 4^2 = 4 + 36 + 16\\(x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
Therefore, for [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex], the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
6) For [tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex]
[tex]x^2 + 2x + y^2 - 12y = 9\\x^2 + 2x + 1^2 + y^2 - 12y + 6^2 = 9 + 1 + 36\\(x+1)^2 + (y-6)^2 = 46\\[/tex]
Therefore, for[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]
For Plato / Edmentum
Just to the test and got it right ✅
Please Help me ASAP Just answers please ;)
Answer:
C
Step-by-step explanation:
< means exclusive, so open hole
≤ means inclusive, so closed dot
also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.
please help 100 points if correct ! :)
please actually answer
Instructions
Part 1: Celebration!
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality on a number line.
Explain what your solution means in the context of the problem.
Well for the activity we can do a game.
In a game you start with 50 coins and everytime you kill a monster "x" you get 2 more coins.You need 100 coins to level up.
We can make the following inequality,
2x + 50 ≥ 100
So to find x we single it out,
2x + 50 ≥ 100
-50 to both sides
2x ≥ 50
Divide 2 by both sides
x ≥ 25
For the number line look at the image below ↓
The solution in the number line is the number of monsters killed in order to level up.
Hope this helps :)