There is a path of width 2.5 m inside around a square garden of length 45m.
(a) Find the area of the path.
(b) How many tiles will be required to pave in the path by the square tiles of length 0.5m? Find it.

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Answer:

A = 108 feet²

Step-by-step explanation:

Let the width is b.

Length = 3+b

Perimeter of the rectangle, P = 42 ft

Perimeter = 2(l+b)

42 = 2 (3+b+b)

21 = (3+2b)

21-3 = 2b

18 = 2b

b = 9 feet

Length, l = 3+9 = 12 feet

Area of the rectangle,

A = lb

So,

A = 12 × 9

A = 108 feet²

So, the area of the rectangle is 108 feet².

Answer:

Option B

Step-by-step explanation:

This is the formula :

2(wl+hl+hw)

Step 1 : Take the length, width, and height and substitute the values in.

The required surface area of the rectangular prism is 461.02 square meters (m²).

Surface area is defined as the measure of a region or surface is called as surface area.

The surface area of a rectangular prism can be calculated by adding up the areas of all six faces. The formula for the surface area of a rectangular prism is:

Surface area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

Substituting the given values, we get:

Surface area = 2(12.3m x 4.3m) + 2(12.3m x 10.7m) + 2(4.3m x 10.7m)

Simplifying the expression gives:

Surface area = 461.02m²

Therefore, the surface area of the rectangular prism is 461.02 square meters (m²).

Learn more about the surface area here: https://brainly.com/question/2835293

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Answer: Option 1

Degrees of 6 or greater

Answered by Gauthmath must click thanks and mark brainliest

Answer:

y² - 4y - 77

Step-by-step explanation:

(y+7)(y-11)

y² - 11y + 7y - 77

y² - 4y - 77

Answer:

35

Step-by-step explanation:

Since they are the same angle in the corresponding parallel line, they will equal eachother.

2y = 70

----   ----

2      2

y   = 35

The answer will be 35.

Step-by-step explanation:

Well, we know that when we have parallel lines, by the alternating interior angle theorem, we know that alternate angles are congruent.

So, 2y = 70 makes y = 35.

Answer:

-2

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals

Take the slope of AB = 1/2

-1/(1/2)

-1 * 2/1

-2

The slope of a line perpendicular is -2

Answer:

D

Step-by-step explanation:

Graph it

Given YA = B, you can solve for Y by multiplying by A ⁻¹ on the right (on both sides of the equation). So we have

YA = B   ==>   (YA) A ⁻¹ = BA ⁻¹   ==>   Y (AA ⁻¹) = BA ⁻¹   ==>   Y = BA ⁻¹

provided that the inverse of A exists. In this case, det(A) = 5 ≠ 0, so the inverse does exist, and

[tex]A=\begin{bmatrix}-1&-4\\0&-5\end{bmatrix} \implies A^{-1}=\dfrac1{\det(A)}\begin{bmatrix}-5&0\\4&-1\end{bmatrix} = \begin{bmatrix}-1&0\\\frac45&-\frac15\end{bmatrix}[/tex]

Then

[tex]Y=\begin{bmatrix}5&-5\\8&-8\end{bmatrix}A^{-1} = \begin{bmatrix}-5&5\\-8&\frac{24}5\end{bmatrix}[/tex]

Answer:

x = 25

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

150 = 4x+50

Subtract 50 from each side

150-50 = 4x+50-50

100 = 4x

Divide by 4

100/4 = 4x/4

25 = x

9514 1404 393

Answer:

  64.1 ft²

Step-by-step explanation:

The area of the cone is given by ...

  A = πr(r +h) . . . . for radius r and slant height h

  A = π(2 ft)(2 ft +8.2 ft) ≈ 64.1 ft²

Answer:

35 cm

Step-by-step explanation:

You can use the Cosine Rule to find the length of a side when two sides and the included angle are given.

a² = b² + c² - 2bc cos A

a² = (36²) + (52²) - 2(36)(52) cos 42°

a² = (1296) + (2704) - (3744)(0.7431448255)

a² = (4000) - (2782)

a² = 1218

a = ✓1218

a = 34.9 cm

Answer:

75

Step-by-step explanation:

All of the angles within the triangle must add up to 180 degrees. So, angle 2 =50

The angles 4,2,5 also equal 180 because they are on the blue line. Since angle 2=50 and angle 5= 55 angle 4 must be 75 which is needed to add up to 180.

Answer:

Angle 4 is 75°

b represent angle 2

d represent angle 4

70+60+b=180

130+b=180

b=50

55+50+d=180

105+d=180

d=75

This is because there's one side we want (that's labeled "8") out of 12 sides total. This is of course if each side is equally likely.

Side note: this 12-sided die is known as a dodecahedron.

Answer:7938 inches square

Step-by-step explanation:

multiply everything

Answer:

7938

Step-by-step explanation:

Lo siento mucho, necesito los puntos porque estoy en una prueba.

Answer:

y = 5

Step-by-step explanation:

[tex]7y-10=25\\7y=35\\y=5[/tex]

Answer:

x = 8

Step-by-step explanation:

Set 2x + 3 = 3x - 5

Solve for x

x = 8

Answer:

B

Step-by-step explanation:

Because it'll be 1²+2×1-3=0

And -3²+2(-3)-3=9-6-3=0

So it's impossible

Answer:

Option C. 6.5

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle B = 80°

Side opposite B (b) = 10

Angle C = 40°

Side opposite C (c) =?

We can obtain the value of c by using the sine rule as illustrated below:

b / Sine B = c / Sine C

10 / Sine 80 = c / Sine 40

Cross multiply

c × Sine 80 = 10 × Sine 40

Divide both side by Sine 80

c = (10 × Sine 40) / Sine 80

c = 6.5

Thus, the value of c is 6.5

9514 1404 393

Answer:

  111 1/9 pounds

Step-by-step explanation:

The given relationship is ...

  delivered = ground × (1 -10%)

Then ...

  ground = delivered/0.90 = 100 lb/0.90 = 111 1/9 lb

It is necessary to grind 111 1/9 pounds of grain to have exactly 100 lb after a 10% payment.

Answer:

7 and 10

Step-by-step explanation:

7 * 10 = 70

7 + 10 = 17

Answer:

10 and 7

Step-by-step explanation:

call them a and b, respectively

so a*b=70 -> b=70/a

a+b=17 ->a+70/a=17 ->a=10 b =7

For engineering, it would be very useful to know Pythagorean theorem. You can use it to measure the tension in each ropes.

Answer:

Option A, the parent function has been translated up

Option B, the parent function has been compressed

Option C, the parent function has been translated to the right

Answer:

[tex]\boxed {\boxed {\sf x \approx 1.9}}[/tex]

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is opposite angle S. Side QS, measuring 2.3, is the hypotenuse because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

[tex]sin \theta = \frac {opposite}{hypotenuse}[/tex]

[tex]sin (54)= \frac{ x}{2.3}[/tex]

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

[tex]2.3* sin (54)= \frac{x}{2.3}*2.3[/tex]

[tex]2.3* sin (54)=x[/tex]

[tex]2.3*0.8090169944=x[/tex]

[tex]1.860739087 =x[/tex]

Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

[tex]1.9 \approx x[/tex]

x is approximately 1.9

Step-by-step explanation:

here's the answer to your question

Answer:

A

Step-by-step explanation:

I guess that is it may be

Answer:

See explanation

Step-by-step explanation:

2) (10+4) x 2 = 28

3) (13 + 6) x 2 = 38

4) (8+4) x 2 = 24

5) (11+8) x 2 = 38

Answered by Gauthmath

Answer:

your answer calculated would be: x(30x^4 + 15xy^2 + y)

Step-by-step explanation:

i used math-way it's a really useful online calculator