Mike wants to put 150 square feet of artificial turf in his front yard. This is the maximum area
of artificial turf allowed by his homeowners association. He wants to have a rectangular area
of turf with length one foot less than 3 times the width. Find the length and width. Round to
the nearest tenth of a foot.

Answer:

Step-by-step explanation

Given

The perimeter of a rectangular painting =348 centimeter

the width of the painting=82cm

Solution

Perimeter of the rectangular painting=2(length+width)

2(Length +width)=348

2(Length+82)=348

2l+164=348

2l=348-164

2l=184

Length=184/2

So length =92cm.

Answer:

x=3

Step-by-step explanation:

if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18

18-6=12

12/4=3

x=3 I hope you learned something

Answer:

b

Step-by-step explanation:

i just took the test

The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.

The correct option is (1).

Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.

here, we have,

As per the given data:

In ΔABC :

∠A = 63°

AC = 2.2

In ΔFED :

∠F = 63°

FE = 2.2

By using the distance formula, we can find AB and FD.

From the coordinates, as we can see in the diagram

FD = 2 units

Similarly,

AB = 2 units

Now from SAS congruence rule:

AB = FD (Both are 2 units)

∠A = ∠F (given)

AC = FE (given)

Hence, ΔABC ≅ ΔFDE by SAS congruence rule.

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Answer:

m<6=54 m<4=126

Step-by-step explanation:

Answer:

(-1, 0)

Step-by-step explanation:

m=69 miles

you can find this because if you divide the 9 by 6 as they are matching sides you get 1.5, take that number and multiply it by the 46 and get the 69! hope that helps :D

Answer:

32 percent

Step-by-step explanation:

32 plus 68 =100

32 divided by 100 equals .32 or 32 percent

Answer:

Your answer is C, 32%

Step-by-step explanation:

It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.

Answer:

n>5

Step-by-step explanation:

move the 20 onto the other side of the > by subtracting 20 on the left side and adding 20 on the right side

now you have

-3n>7n-20

move the 7n onto the other side the same way. subtract 7n from one side and add it to -3n. now you have

4n>20

this is called adding similar terms or inverse operations what ever you wanna call it. Now you divide N by 4. This is because 4n can be simplified to 4×N and the opposite of multiplication is division. you do the same on the other side.

n/4>20/4.

you are left with n>5

Answer:

n<2

Step-by-step explanation:

Subtract 20 from both sides 20-3n-20>7n-20

Simplify -3n>7n-20

Subtract 7n from both sides -3n-7n>7n-20-7n

Simplify again -10n>-20

multiply both sides by -1 (-10n)(-1) < (-20)(-1)

Simplify 10n<20

Divide both sides by 10 Then you get your answer

Answer:

x = 0

Step-by-step explanation:

2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing

2(x+7) would be 2x+14

4(2x+8) would be 8x+32

2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms

2x and 2x can be combined on the left side

x and 8x can be combined on the right side

4x + 14 + 20 - 2 = x + 8x + 32

4x + 32 = 9x + 32 you can now solve this equation

start by subtracting 4x on both sides

32 = 5x +32 now subtract 32 on both sides

0 = 5x so x = 0

Answer:

x = 0

2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing

2(x+7) would be 2x+14

4(2x+8) would be 8x+32

2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms

2x and 2x can be combined on the left side

x and 8x can be combined on the right side

4x + 14 + 20 - 2 = x + 8x + 32

4x + 32 = 9x + 32 you can now solve this equation

start by subtracting 4x on both sides

32 = 5x +32 now subtract 32 on both sides

0 = 5x so x = 0

Answer:

this formula is right

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

4) Store B. Because 2 is less than 3 which is less than 4.

Answer:

C

Step-by-step explanation:

EDGE2021

Answer:

12

bcz he can't put a 0.725 fish so it will be rounded up back to 12

The greatest number of neon tetra fish he puts in the tank is 12.

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.

The tank is 55 cm wide, 28 cm long and height is 33 cm.

And the surface of the water in the tank is 3 cm below the top of the tank.

That means,

to determine the volume,

So, the volume of cuboid

= 55 x 28 x 33

= 50820 cubic centimeters.

And we know 1000 cubic centimeters is 1 liter of water.

So, 50820 = 50.820

And divide by 4

We get the greatest number of neon tetra fish he puts in the tank.

50.820 / 4

= 12.705

≈ 12

Therefore, 12 is the required number for neon tetra fish.

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Answer:

Step-by-step explanation:

Find HCF of 12 and 16 using division method.

Step 1

Step 2

Step 3

HCF of 12 and 16 is 4.

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I've attached the complete question withe the 2 quadrilaterals.

Answer:

Jennifer is not correct because equal angles alone is not a proof of congruency.

Step-by-step explanation:

Now, in test for congruence, we use any of the following criteria;

SSS: Side - Side - Side

SAS: Side - Angle - Side

ASA: Angle - Side - Angle

AAS: Angle - Angle - Side

RHS: Right angle - Hypotenuse - Side

The assumption in the question is that all the angles are equal to determine that the quadrilaterals are congruent.

However, we don't use AAA(Angle - Angle - Angle theorem) as a congruence proof because it's very possible to have all the internal angles equal and yet all the corresponding sides don't have the same length.

Thus, Jeniffer is not correct.

Answer:

4/18

Step-by-step explanation:

cost price=1300

selling price=1500

1500_1300=2000

madhu use 300 from his profit so

2000_300=1700

answer=1700

Answer:

Can you pls write it straight

Step-by-step explanation:

Step-by-step explanation:

The decimal number 5.25 is equal to the fraction 21/4.

Answer:

y= 30x

tep-by-step explanation:

Answer:

a.

Step-by-step explanation:

(2, 10) and (4, 10) have the same y value so it's not a function etc. etc.

Answer:

D. The relation represents y as a function of x, because each value of x is associated with a single value of y

Step-by-step explanation:

As long as no one x-value has two solutions, it can be considered a function. The x-values are {0, 2, 4, 6, 8}. Since there isn't any repetition, this can be considered as a function. The fact that 10 is repeated in the y-values doesn't affect that it is a function.

70

f(-4)=5(2-3(-4)

f(-4)=10+60

f(-4)=70

Answer:

Step-by-step explanation:

y=1/2-5x

Answer:

Step-by-step explanation:

Using points on the graph to get the equation

Slope intercept form:

From the graph, point (0, -5) we can see y-intercept is b = -5

An calculating the slope using two points (-6, -3) and (6, -7):

So the line is: