A gardener is planting sunflowers around the sides of the square - shaped garden. What will be the length of the garden if the gardener covered 24 m covering around the garden?

Answer:

The triangle is not acute because 2^2 + 4^2 < 5^2

Step-by-step explanation:

2^2 is side a,

4^2 is side b,

5^2 is side c,

then

c^2 = a^2 + b^2 is right triangle

c^2 > a^2 + b^2 is obtuse

c^2 < a^2 + b^2 is acute

If we insert the numbers into the equation and square them:

c^2 = a^2 + b^2

25 = 4 + 16

25 > 20

This means the triangle is NOT accute, but obtuse

Therefore, it means the triangle is not acute, but obtuse

i.e.,

[tex]a^2 > b^2+c^2\\\\5^2 > 2^2+4^2[/tex]

What is the acute angle?

An angle is formed when two rays meet at a vertex. When this angle measures less than [tex]90[/tex] degree, it is termed an acute angle.

As per the Pythagoras theorem the triangle is acute only if the square of the longest side is less than the sum of the squares of the two smaller sides.

i.e., [tex]a^2 < b^2+c^2[/tex]

where [tex]a,b,c[/tex] are the lengths of the sides of a triangle.

So,

[tex]a^2=5^2\\b^2=2^2\\c^2=4^2[/tex]

Then,

The right triangle is [tex]a^2=b^2+c^2[/tex].

The obtuse triangle is [tex]a^2 > b^2+c^2[/tex]

The acute triangle is [tex]a^2 < b^2 + c^2[/tex]

i.e.,

[tex]5^2 = 2^2+4^2\\\\25=4+16\\\\25 > 20[/tex]

Hence, this means the triangle is not acute, but obtuse.

To know more about the acute angle

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Answer:

Part A:

The Standard Form equation of a line has the following formula:

Ax+By=C, where A, B, and C are integers, and A is non-negative.

We will assume that when renting a boat Sam paid fixed cost and rental charge per day.

y = the total rent

x = the number of days

Sam rented a boat at $225 for 2 days would mean:

y = 225 when x = 2 or if we plug into Ax+By=C:

2A + 225B = C since A is non-negative we divide both sides by A

2 + (B/A)225 = C/A

He rents the same boat for 5 days, he has to pay a total rent of $480 means:

y = 480 when x = 5 days

5A + 480B = C since A is non-negative we divide both sides by A

5 + (B/A)480 = C/A

Now we have:

2 + (B/A)225 = C/A

5 + (B/A)480 = C/A

Lets denote s = B/A  and t = C/A. Now we can write the following system of equations:

2 + 225s = t

5 + 480s = t

........

click here to see the system of equations solved for s and t

........

s = -1/85

t = -11/17 = -55/85

Now we can go back to:

B/A = -1/85 and C/A = -55/85

A = 85, B = -1, C = -55

The standard equation is:

85x - y = -55

Part B:

Using the equation 85x - y = -55 we solve for y

.......

click here to see the equation solved for y

........

y = 85x + 55

or in function notion y = f(x)

f(x) = 85x + 55

Part C:

The graph of y = 85x + 55 is:

Step-by-step explanation:

Answer:

y = 225/2x + 2

Step-by-step explanation:

Answer:

t ≥ 13

Step-by-step explanation:

t + 20 ≥ 33

subtract 20 from each side

he will run at least another 13 miles

Answer:

87.75 or 88

Step-by-step explanation:

To find the average you add the variables together

80+90+85+96=351

And then you take that number and divide by how many variables there are

351÷4=87.75 and you can round up to 88 if you want.

Hope this help!

Answer:

In two years, George will be 8 years old.

Step-by-step explanation:

g = 3s

(g + 2) / 2 = a + 2

g + 2 = 2 (s + 2)

g + 2 = 2s + 4

g = 2s + 2

3s = 2s + 2

s = 2

g = 3s

g = 3 (2)

g = 6

6 + 2 = 8

Answer:

Step-by-step explanation:

1# Answer:

4x=-12

Step-by-step explanation:

Let a number = X

So

The product of four and a number is negative twelve

4x=-12

2#

3 - 6x = -15 is the equation (it says 3 decreased by the product not the product decreased by 3)

#3

[3(-1)]+4=1

(-3)+4=1

#4

#5

The equation is given by:

 9-1/3x = 7      

Step-by-step explanation:

Let the number be denoted by x.

Now, we are given a word phrase as follows:

One-third of a number less than nine is equal to seven.

Now this word phrase could be mathematically expressed as a equation by:

 one-third of x is: 1/3 x

and this number less than 9 is given by:

 9-1/3x

Now, this number is equal to 7.

i.e. we finally have:

 9-1/3x = 7    

Answer: 8x-20 [1]  x-5y[2]  7xy+2x^[ exponet2] t

Step-by-step explanation:

Step-by-step explanation:

8 × (1/2) = ...

= (8 × 1)/2

= 8/2 = 4

Answer:

1500g

Step-by-step explanation:

First, divide 200 by 24 so that you can have a common ratio. This would get you 8.333... Then multiply 8.333... to 180. This would get you the answer of 1500 g. Hope this helps :)

The amount of flour to make 200 cookies will be 1500 grams.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

If you need 180g of flour for 24 cookies.

Let 'x' be the amount of flour. Then the ratio of the flour to cookies will be constant.

x / 200 = 180 / 24

x = 200 x 180 / 24

x = 1500 grams

The amount of flour to make 200 cookies will be 1500 grams.

More about the ratio and the proportion link is given below.

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Answer:

THE COASTLINE OF ALASKA IS LONGER THAN THE ENTIRE COASTLINE OF THE LOWER FORTY-EIGHT STATES

Step-by-step explanation:

Triangle 1:   ∠A = 117°   ∠C = 152°

Triangle 2:   ∠E = 65°   ∠F = 25°

Triangle 3:   ∠G = 37°   ∠H = 99°   ∠I = 81°

Triangle 4:   ∠K = 123°   ∠L = 97°   ∠N = 40°   ∠O = 83°

Triangle 5:   ∠R = 90°   ∠S = 120°   ∠T = 60°

Triangle 6:   ∠W = 12°   ∠Y = 79°

Answer:

what does the graph look like?

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

horizontal plane = 180

therefore 180 - b + 27 = 180

this will give us the missing inner angle

then we create a linear equation to get the value of b, and since the sum of the inner angles of the triangle = 180

b - 7 + b - 26 + (180 - 27 - b) = 180

b = 60

Answer:

b=3

Step-by-step explanation:

When multiplying square roots, you multiply numbers inside the radical.

S

[tex] \sqrt{3} \times \sqrt{6} = \sqrt{18} [/tex]

Next, simplify the answer, and you will get

[tex]3 \sqrt{2} [/tex]

giving 3 as your b value.

Answer:

Step-by-step explanation:

Step-by-step explanation:

your don't see what went wrong ?

Tyrell worked on

16 - 2(4 + 3x)

what do brackets mean ? they mean that this operation has to be done before everything else in the expression.

as this contains a variable, we cannot fully calculate it, true, but we need to keep this in mind and always treat the content of the brackets as one package.

so, whatever I do from the outside with one part of that package, I have to do also with all the other parts of that package.

so, the multiplication with -2 has to happen with both : 4 and 3x. not just with 4.

therefore, the correct simplification looks like

16 - 8 - 6x

8 - 6x or -6x + 8

Amelia multiplied correctly, but then made a mistake summing things up

10x - 3(4x + 1)

10x - 12x - 3

10x - 12x = -2x

I can't mix the pure constant -3 into the factors of x. that would be like the famous mixing of apples and oranges.

so, the result is

-2x - 3

Answer:

The ___a_ value of the quadratic function determines whether the parabola opens upward or downward.

Answer:

The 'a' value.

Step-by-step explanation:

The general quadradic equation is:

[tex]ax^2 + bx + c; \text{ } a\neq 0[/tex]

If the value of a is greater than 0, then the parabola would open upward. If the value of a is less than 0, then the parabola would open downward.

Hope this helps.

Answer:5,600 - 3,500 = 2,100

2,100 is what percent of 3,500?

2,100 = X*3,500

X =  2,100 / 3,500

X = .60 or 60%

An average of 15% increase per year.

Step-by-step explanation:

Answer:

A is the answerrrrr

Step-by-step explanation:

ieidududi

Answer:

≈149.1643 [meters].

Step-by-step explanation:

1) according to Pythagorean theorem

[tex]c=\sqrt{a^2+b^2}[/tex] , where a;b are the given length and width,

2) [tex]c=\sqrt{137^2+59^2}=149.1643[m].[/tex]

Answer:

-1/3

Step-by-step explanation:

Answer:

C 30

Step-by-step explanation:

Answer:

18x18x18x18x18x90=170,061,120

Step-by-step explanation:

Answer:

Step by step explanation:

Answer:

The slope is = 11      The equation is  y = 11x

Hope this helps!

Step-by-step explanation:

(1, 11 ) (2, 22)

22-11 / 2-1

11/1 = Slope

There is no "b" for this equation.

Answer:

C 34 units

Step-by-step explanation:

I took the test.

(18x-44) + (8x-10) = 180

26x-54 = 180

26x = 234

x = 9

8(9)-10 + (13y-38) = 180

72-10+13y-38 = 180

13y+24 = 180

13y=156

y=12