A diagram of a concrete walkway around a rectangular pool is shown. If the distances shown are measured in meters, find the total area of the concrete walkway.

A) 28 m2
B) 30 m2
C) 34 m2
D) 40 m2

Answer:

SSS Theorem

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

They share a side so that's the third side that's the same

Answer:

The size of angle PQR is 150°

Step-by-step explanation:

Lets explain how to solve the problem

- A polygon is regular when all its angles are equal and all its sides

 are equal

- The measure of each interior angle an any regular polygon

  = , where n is the number of its angles or its sides

∵ PQ and QR are two sides of a regular 12 sided polygon

∴ Q is one of its vertex

- We need to find the size of angle PQR

∵ Angle PQR is an interior angle in the regular 12 sided polygon

∴ n = 12

Use the rule above to find the size of the angle PQR

∵ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of angle PQR = 150°

* The size of angle PQR is 150°

Answer:

Step-by-step explanation:

[tex]y^{4}\sqrt{16x^{8}y^{12}z^{4}}=y^{4}\sqrt{4*4*x^{4*2}y^{6*2}z^{2*2}}\\\\ =y^{4}\sqrt{4^{2}*(x^{4})^{2}*(y^{6})^{2}*(z^{2})^{2}}\\\\=y^{4}*4*x^{4}*y^{6}*z^{2}\\\\=4x^{4}y^{4+6}z^{2}\\\\\\=4x^{4}y^{10}z^{2}[/tex]

-3x-4= +12

X negative 3 and 4 then add +12 to it.

Answer:

Negative

Step-by-step explanation:

D has the exact same value but

this time it the other way so your answer

should be -D = 3/2

Answer:

C

Step-by-step explanation:

The substance in the second beaker must have lost heat for it to solidify

Answer:

Step-by-step explanation:

The thermometer’s temp could have made the liquid to chemically react?

Answer:

0

Step-by-step explanation:

we can use difference of squares to factor the equation into (x+y)(x-y)/(x-y)

The (x-y) cancel out so the fraction becomes (x+y)

The two (x+y) also cancel out so it becomes 0

Answer:

0

Step-by-step explanation:

[tex]x+y-\dfrac{x^2-y^2}{x-y}= \\\\\\x+y-\dfrac{(x+y)(x-y)}{x-y}= \\\\\\x+y-(x+y)= \\\\\\\boxed{0}[/tex]

Hope this helps!

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Did it on edge2020

Answer:

[tex]\left\begin{array}{ccc}&Right-Handed&Left-Handed\\Boys&108&23\\Girls&99&16\end{array}\right[/tex]

[tex].18+.82=1[/tex]

[tex].14+.86=1[/tex]

[tex]\left[\begin{array}{cccc}&Right-Handed&Left-Handed&Total\\Boys&.82&.18&1\\Girls&.86&.14&1\end{array}\right][/tex]

[tex].41+.59=1[/tex]

[tex].48+.52=1[/tex]

[tex]\left[\begin{array}{ccc} &Right-Handed&Left-Handed\\Boys&.52&.59\\Girls&.48&.41\\Total&1&1\end{array}\right][/tex]

Step by Step:

Step which two decimals added together equal 1?

0.86, 0.48, 0.41, 0.82, 0.59, 0.14, 0.52, 0.18

[tex]0.14+0.86=1[/tex], [tex]0.18+0.82=1[/tex], [tex]0.41+0.59=1[/tex], & [tex]0.48+0.56=1[/tex]

Now solve for the rows in the first table

[tex]108+23=131\\108 divided by 131=0.82\\Well remember,0.82+0.18=1[/tex]

so there is the first row for boys in the first table

Now solve for the second rows in the first table

[tex]99+16=115\\99 divided by 115=0.86\\Well remember, 0.86+0.14=1[/tex]

so there is the second row for girls in the first table

Now we do pretty much the same for table 2 just it's columns instead of rows

[tex]108+99=207\\108 divided by 207=0.52\\Well remember 0.52+0.48=1[/tex]

So we put 0.52 under boys RH(right-handed) and 0.48 under girls RH.

[tex]23+16=39\\23 divided by 39=0.59\\Well remember, 0.59+0.41=1[/tex]

So we put 0.59 under boys LH(left-handed) and 0.41 under girls LH.

Hope this makes sense and helps!!!

Answer:

first box= boys= .82, .18  girls= .86, 14

second box= boys= .52 .59 girls= .48 .41

Step-by-step explanation:

i did the test

Answer:

0.03 m

Step-by-step explanation:

End height:  1.57 m

Current height:  1.54 m

Difference:  0.03 m

Wall must be 0.03 m taller than it is now.

Answer:

I believe the answer will be 36 for the dog legs.

Step-by-step explanation:

first you get a calculator

then you type in 18 divided by 50

then you hit enter

then the answer will come up as 0.36

Answer:

Step-by-step explanation:

(h o g) (-5) means the composition of the two functions, or h [ (g(-5) ].

This is, you first calculate g(-5) and then h [ g (-5) ].

So, g ( -5) = 2 * ( - 5) = - 10

And h (-10) = (-10)^2 + 4 = 100 + 4 = 104.

Answer:

Step-by-step explanation:

x ≥ 2800

12*75=900

900< x

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

[tex]AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7[/tex]

Similarly,

[tex]BC=\sqrt{(5-(-2))^2+(4-4)^2}=7[/tex]

[tex]CD=\sqrt{(5-5)^2+(4-(-3))^2}=7[/tex]

[tex]AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7[/tex]

It is conclude that, [tex]AB=BC=CD=AD[/tex].

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

[tex]P=4a=4(7)=28\text{ yards}[/tex]

Area of square floor is

[tex]A=a^2=7^2=49\text{ sq. yards}[/tex]

Therefore, the perimeter is 28 yards and the area is 49 square yards.

Answer:

if rounding by tenths 17.3 i’d rounding by hundredths 17.31 and thousandths 17.316

Step-by-step explanation:

most teachers say but off is thousandths be careful look what it’s asking for exactly

Answer:Choose the statement that is not true based on these diagrams. answer= m∠A = m∠2

The statement that is not true based on these diagrams will be;

⇒ m ∠A = m∠2

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In Triangle ABC,

⇒ Angle C is 108 degrees and angle B is 34 degrees.

Now,

Since, In Triangle ABC,

⇒ Angle C is 108 degrees and angle B is 34 degrees.

Hence, We get;

⇒ m ∠A + m ∠B + m ∠C = 180°

Substitute all the values, we get;

⇒ m ∠A + 34° + 108° = 180°

⇒ m ∠A + 142° = 180°

⇒ m ∠A = 180° - 142°

⇒ m ∠A = 38°

Thus, The incorrect statement is,

⇒ m ∠A = m∠2

Learn more about the triangle visit:

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Answer:

7√10/2 - 11

Step-by-step explanation:

(2√2−√5) / (3√2+2√5)=

(3√2-2√5)(2√2−√5)/(3√2+2√5)(3√2+-2√5)=

(12+10-3√10-4√10)/(18-20)=

(22-7√10)/-2= 7√10/2 - 11

Step-by-step explanation:

These angles all add up to 360° because they form a circle, so b + b + 2b + 5b = 360°, and b = 40°. The largest angle is 5b which is 5 * 40 = 200°.

Answer:

200

Step-by-step explanation:

The sum of the angles is 360 degrees

5b+ b+b+2b = 360

Combine like terms

9b = 360

Divide each side by 9

9b/9 = 360 /9

b = 40

The largest angle is 5b

5*40

200

Answer:

Option B

Step-by-step explanation:

Consider the steps below;

[tex]3x - 4y = 25,\\3x + 2y = 1\\\\3x - 4y = 25,\\+ ( - 3x - 2y = - 1 )\\\\- 6y = 24,\\y = - 4\\\\3x - 4y = 25,\\3x - 4 * ( - 4 ) = 25,\\3x + 16 = 25,\\3x = 9,\\x = 3\\\\Solution, x = 3, y = - 4[/tex]

To solve this system of equations, I applied process of elimination, which I thought was most convenient. Multiplying the bottom equation by - 1, I added both equations to cancel out the x's and solved for the value of y. Substituting this value of y into the top equation, I solved for the value of x;

Solution ⇒ Option B

Answer:

Step-by-step explanation:

From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)

From Rule 2:  Peter is across from Harvey.

Since Seat 5 is across from Seat 1

From Rule 7: Peter is next to Lia.

Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.

By Rule 5: Lia is next to Kenny, therefore:

From Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.

Seat 7 is across from Seat 3, therefore:

Since Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)

Therefore, we have:

Seat 1: Peter

Seat 2: Lia

Seat 3: Kenny

Seat 4: Jennie

Seat 5: Harvey

Seat 6: Joyce

Seat 7: Rick

Since Mark has the remaining seat, Mark is on Seat 8.

Answer: -24

Step-by-step explanation:

Answer:

12 inches

Step-by-step explanation:

A=0.5bh

A=0.5xh

60=0.5*10*x

60=5x

5x=60

x=12

Answer:

a reflection and a dilation

Step-by-step explanation:

in the wording, it was stated that the triangle was reflected then dilated.

The correct answer is translation and a dilation

There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.

The steps are as follow:

So the correct answer will be translation and a dilation

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Answer:

1/5

Step-by-step explanation:

F(x)=x^2

g(x)=1/(2x+3)

g(f(-1))=?

x=-1→f(-1)=(-1)^2→f(-1)=1

g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5

u = 9 i - 6 j

v = -3 i - 2j

w = 19 i + 15 j

u • v = (9 i - 6 j) • (-3 i - 2j)

Distribute the dot products:

u • v = 9*(-3) (i • i) + 9*(-2) (i • j) + (-6)*(-3) (j • i) + (-6)*(-2) (j • j)

i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have

u • v = 9*(-3) + (-6)*(-2) = -27 + 12 = -15

In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.

u • w = 9*19 + (-6)*15 = 81

Answer:

A I believe

Step-by-step explanation:

Edge2021

Answer:

C. 4

Step-by-step explanation:

arc length = radius*θ ,

where θ is an angle in radians.

12 = 3*θ

θ = 12/3 = 4

Answer:

eqn : 9 x 9 x h = 1620

h = 1620 / 81 = 20

Step-by-step explanation:

Answer:

The distance between the points is approximately 4.2 units.

Step-by-step explanation:

Use the distance formula. To calculate the distance between point (x1, y1) and (y1, y2), use the following formula:

[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2} -y_{1})^{2} }[/tex]

[tex]\sqrt{(-3--6)^{2} + (2-5)^{2} }[/tex]

[tex]\sqrt{3^{2} + -3^{2} }[/tex]

[tex]\sqrt{9 + 9}[/tex]

[tex]\sqrt{18}[/tex]

≈ 4.2 units

Hope this helps :) Feel free to ask me any questions!