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Alenkinab [10]
3 years ago
12

Help me plz!

Mathematics
1 answer:
Goryan [66]3 years ago
8 0

Answer:

1,451.61 cm²

Step-by-step explanation:

A = LW

A = 38.1 x 38.1 (since a checkerboard has to be square)

A = 1,451.61

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The Doe family had a rectangular garden with a 58-foot perimeter. They reduced the length by 7 feet and decreased the width to b
Vaselesa [24]

Answer:

60 square foot

Step-by-step explanation:

Perimeter of a rectangular garden = 58 foot

Let x and y denote length and width of the rectangular garden.

2 (Length + Width) = Perimeter of the rectangular garden

2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29

So,

length = x

width = y = 29-x

The length is reduced by 7 feet and the width becomes half.

New length = x-7

New width = \frac{1}{2}(29-x)

New perimeter = 34 foot

2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19

So,

New length =x-7=19-7=12\,\,foot

New width = \frac{1}{2}(29-19)=\frac{1}{2}(10)=5\,\,foot

Area of the new smaller garden = New length × New Width

= 12 × 5

= 60 square foot

6 0
3 years ago
Fred the clown can create 20 animal balloons every 15 minutes.how many animal ballons can he make in 6 minute
Lynna [10]

Answer:

8 animal balloons

Step-by-step explanation:

Using equivalent ratios, or a proportion, you can solve for the number of animal balloons that clown can create in 6 minutes:

\frac{balloons}{minute}=\frac{20}{15}=\frac{4}{3}

Now, set the simplified ratio equal to the time of 6 minutes and the variable of 'b' to equal the number of balloons:

\frac{4}{3}=\frac{b}{6}

To get equivalent fractions, the numerator and denominator must be multiplied by the same factor:

\frac{4x2}{3x2}=\frac{8}{6}

8 animal balloons in 6 minutes

8 0
3 years ago
Striking a tuning fork harder makes the sound coming from the fork louder. This changes the _________ of the sinusoidal graph.
Vera_Pavlovna [14]

Answer:

Amplitude.

Step-by-step explanation:

Loudness of a sound wave is proportional to its amplitude of vibration.

3 0
2 years ago
How do I workout/find the unknown angles please
Cerrena [4.2K]

Answer: x = 135 degrees and y = 225 degrees.

Step-by-step explanation: To solve this problem we first use the equation (n-2)*180 [n being the number of sides] to find the sum of interior angles in the figure. We plug the values in: (8-2)*180 = 6*180 degrees = 1080 degrees. We divide this by 8 to get the measure of an interior angle: 1080 degrees/8 = 135 degrees. Since all the interior angles of a regular polygon are congruent, we can say that angle x + angle y = 360 degrees. Thus subtract x degrees from 360 degrees to get y: 360 degrees - 135 degrees = 225 degrees. Therefore, x = 135 degrees and y = 225 degrees.

6 0
2 years ago
ANSWER FAST ITS URGENT
Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

{x}^{2}  =  {2}^{2}  +  {6}^{2}

{x}^{2}  = 4 + 36

{x}^{2}  = 40

x =  \sqrt{40}

x = 6.3

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

n = 6 \sqrt{2}

The hypotenuse can be found using Pythagoras Theorem.

{m}^{2}  =  {(6 \sqrt{2} )}^{2}  +  {(6 \sqrt{2} )}^{2}

{m}^{2}  = 36(4)

m =  \sqrt{36 \times 4}  = 6 \times 2 = 12

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

n =  \frac{1}{2} (12) = 6

and

m = 6 \sqrt{3}

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

{x}^{2}  +  {115}^{2}  =  {350}^{2}

{x}^{2}  =  {350}^{2}   -  {115}^{2}

{x}^{2}  = 109275

x =  \sqrt{109275}  = 330.6 ft

3 0
3 years ago
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