The coordinate plane shows the floor plan for a swimming pool. What is the area of the pool's border? 20 204 EE 16 Pool Distance (meters) 8 pool border 0 -2 6 0 8 20 10 M ARA


A) 50 square meters
B) 65 square meters
C) 80 squares meters
D) 100 square meters
E) 125 square meters​

Answer:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Step-by-step explanation:

Given

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Required

Solve

We have:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Open bracket

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

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Answer: 30

Step-by-step explanation:

You multiply the base by the height, so 10*6=60

You then take that and divide it by 2 to get 30.

You do this because you assume that the triangle is half of a square.

Answer:

d = 3

Step-by-step explanation:

The common difference d is the difference between consecutive terms, that is

d = 1 - (- 2) = 4 - 1 = 3

Answer:

B: VY = YB = YJ

Step-by-step explanation:

Looking at the options;

A) ∠VYB is not equal to ∠SJY because SJY is a straight line while ∠VYB is an angle.

B) VY = YB = YJ. This is true because they all start from Y which is the centre of the circle and they all terminate at the perimeter of the circle.

Thus,they are all equal to the radius and thus statement is true.

C) ∠SYV ≠ ∠SYB because there is no proof given that the angle of tilt is the same.

D) TX = MP = YJ is not true because TX and MP are chords which by inspection don't seem equal and neither the radius YJ appears to be equal to them.

E) ∠MJY ≠ ∠XSY because they have nothing in common in terms of angle.

Answer:

The mean percentage of hourly employees being laid off at these stores is 52.

The median percentage of hourly employees being laid off at these stores is 55.

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values.

So

[tex]M = \frac{55+56+44+43+44+56+60+62+57+45+36+38+50+69+65}{15} = 52[/tex]

The mean percentage of hourly employees being laid off at these stores is 52.

Median:

Value that separate the lower 50% from the upper 50% in the sorted set.

The sorted set is

36 38 43 44 44 45 50 55

The set has cardinality 15, which is an odd number, so the median is the element at the position (15+1)/2 = 8 of the sorted set, which is 55.

The median percentage of hourly employees being laid off at these stores is 55.

Answer:

8.48528137 i

Step-by-step explanation:

Answer:

[tex]Fraction = \frac{31}{38}[/tex]

[tex]\theta = 296.18^\circ[/tex]

[tex]Area = 29.62 \pi[/tex]

Step-by-step explanation:

Given

[tex]r = 6[/tex]--- radius

[tex]L = 31[/tex] --- arc length

Solving (a): Fraction represented by the arc

First, calculate the circumference (C)

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 * 3.14 * 6[/tex]

[tex]C = 38[/tex] --- approximated

So, the fraction represented by the arc is:

[tex]Fraction = \frac{L}{C}[/tex]

[tex]Fraction = \frac{31}{38}[/tex]

Solving (b): Measure of the center angle

Using arc length formula, we have:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

This gives

[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]

[tex]31 = \frac{\theta}{360} * 37.68[/tex]

Make [tex]\theta[/tex] the subject

[tex]\theta = \frac{360 * 31}{37.68}[/tex]

[tex]\theta = 296.18^\circ[/tex]

Solving (c): The area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]

[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]

Divide 360 and 36

[tex]Area = \frac{296.18}{10} * \pi[/tex]

[tex]Area = 29.618 * \pi\\[/tex]

[tex]Area = 29.62 \pi[/tex] --- approximated

Answer:

(p, q) is (2, 5)

Step-by-step explanation:

Given the expression

x^2  + 3x - 10

Factorize;

x^2 + 5x - 2x - 10

x(x+5) - 2(x+5)

(x-2)(x+5)

Comparing with (x + p)(x + 9).

x+2 = x+ p

x-x+2 = p

2 = p

p = 2

Similarly;

x+5 = x+q

x-x+5 = q

5 = q

q=  5

Hence (p, q) is (2, 5)

Answer:

△RST∼△FGH by the AA Similarity Theorem.

Answer:

28.3 grams

Step-by-step explanation:

One ounce is 28.3 grams.

Answer:

C

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

<XZY = 180-45-61 = 74°

according to sines rule :

XZ/sin Y = XY/sin Z

XZ/sin 61 = 24/sin 74

=> XZ = 24×sin 61 / sin 74

= 24× 0.87/ 0.96

= 21.75

XW/XZ = sin 45

=> XW = XZ × sin 45

= 21.75 × 0.71

= 15.44 = 15

Answer:

H.

Step-by-step explanation:

16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one

Answer:

H. is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

175.5in

Step-by-step explanation:

12 x 9 + 67.5

If this answer is incorrect (Which it should not be) than try 243

Answer:

9 + 3 + 3 = 15

15 x 12 x 1/2(basically just dividing by 2) = 90

9 x 12 = 108

108 + 90 = 198 in^2 for a

7 x 7 = 49

7 x 7 = 49, 49 divided by 2 ( x 1/2) = 24.5

49 + 24.5 = 73.5 ft^2 for b

Answer:

C. 7.6 feet

Step-by-step explanation:

The measure of the diagonal of the rectangular garden will be 7.6 feet. Then the correct option is C.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Landon has a rectangular garden with an area of 27.6 square feet. If the length of the garden is 6.2 feet.

Then the width of the garden will be

Area = Length x Width

27.6 = 6.2 x W

    W = 4.45

Then the measure of the diagonal of the rectangular garden will be

D² = L² + W²

D² = 6.2² + 4.45²

D² = 38.44 + 19.8

D² = 58.24

D = 7.63

D ≅ 7.6 feet

Thus, the correct option is C.

More about the rectangle link is given below.

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Answer:

[tex]\text{Triangle 1:}\\\\x=30\sqrt{2},\\\\\text{Triangle 2:}\\x\approx 36.18,\\?\approx12.37[/tex]

Step-by-step explanation:

*Notes (clarified by the person who asked this question):

-The triangle on the right has a right angle (angle that appears to be a right angle is a right angle)

-The bottom side of the right triangle is marked with a question mark (?)

Triangle 1 (triangle on left):

Special triangles:

In all 45-45-90 triangles, the ratio of the sides is [tex]x:x:x\sqrt{2}[/tex], where [tex]x\sqrt{2}[/tex] is the hypotenuse of the triangle. Since one of the legs is marked as [tex]30[/tex], the hypotenuse must be [tex]\boxed{30\sqrt{2}}[/tex]

It's also possible to use a variety of trigonometry to solve this problem. Basic trig for right triangles is applicable and may be the simplest:

[tex]\cos 45^{\circ}=\frac{30}{x},\\x=\frac{30}{\cos 45^{\circ}}=\frac{30}{\frac{\sqrt{2}}{2}}=30\cdot \frac{2}{\sqrt{2}}=\frac{60}{\sqrt{2}}=\frac{60\cdot\sqrt{2}}{\sqrt{2}\cdot \sqrt{2}}=\frac{60\sqrt{2}}{2}=\boxed{30\sqrt{2}}\\[/tex]

Triangle 2 (triangle on right):

We can use basic trig for right triangles to set up the following equations:

[tex]\cos 20^{\circ}=\frac{34}{x},\\x=\frac{34}{\cos 20^{\circ}}\approx \boxed{36.18}[/tex],

[tex]\tan 20^{\circ}=\frac{?}{34},\\?=34\tan 20^{\circ}\approx \boxed{12.37}[/tex]

We can verify these answers using the Pythagorean theorem. The Pythagorean theorem states that in all right triangles, the following must be true:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle.

Verify [tex]34^2+(34\tan20^{\circ})^2=\left(\frac{34}{\cos20^{\circ}}\right)^2\:\checkmark[/tex]

Answer:

million

Step-by-step explanation:

Answer:

1year?hehehehehehehehehe

Answer: I think it is false...

Solve the equation for  

n

by finding  

a

,  

b

, and  

c

of the quadratic then applying the quadratic formula.

Exact Form:

n

=

−

2

±

2

√

37

9

Decimal Form:

n

=

1.12950278

…

,

−

1.57394722

…

This question is incomplete, the complete question is;

According to a recent survey, 73% of all customers will return to the same grocery store. Suppose 14 customers are selected at random, what is the probability that: (Round probabilities to 4 decimal places and the expected customers to 2 decimal places)

a) All 14 will return?

b) How many customers would be expected to return to the store ?

Answer:

a) the probability that All 14 will return is 0.0122

b) The number of customers that would be expected to return to the store is 13.27

Step-by-step explanation:

Given the data in the question;

p = 73% = 0.73

sample size n = 14

a)  the probability that All 14 will return;

P( x = 14 ) = ⁿCₓ × Pˣ × [tex]( 1 - P)^{n-x[/tex]

we substitute

P( x = 14 ) = ¹⁴C₁₄ × (0.73)¹⁴ × [tex]( 1 - 0.73)^{(14-14)[/tex]

P( x = 14 ) = [ 14! / ( 14! × ( 14 - 14)!) ] ×  (0.73)¹⁴ × [tex]( 0.27)^{0[/tex]

P( x = 14 ) = 1 × 0.0122045 × [tex]( 0.27)^{0[/tex]

P( x = 14 ) = 1 × 0.0122045 × 1

P( x = 14 ) = 0.0122045 ≈ 0.0122 { 4 decimal place }

Therefore, the probability that All 14 will return is 0.0122

b) Expected Customers;

E(x) = n × p

we substitute

E(x) = 14 × 0.73

E(x) =  13.27  { 2 decimal place }

Therefore, The number of customers that would be expected to return to the store is 13.27

Answer:

Rectangle: bh or l · w

Circle: pi(r)²

Answer:

134+144

Step-by-step explanation:

just take the answer (278)- the number they give you

278-

134

144

Answer:

Solution given:

x+134=278

subtracting 134 each term

x+134-134=278-134

x=144

Answer:

4

Step-by-step explanation:

The number of kids who like vanilla is 13 the number of kids who like strawberry is 9

13-9=4

hope this helps!!

Answer:

p = 7/13

Step-by-step explanation:

52 cards in the deck

26 black cards

2 red kings

26 + 2 = 28

p = 28/52

p = 7/13

Answer:

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].

Step-by-step explanation:

In general, let [tex](a,\, b)[/tex] denote the center of a given circle. Let [tex]r[/tex] denote the radius of that circle. The standard equation for that circle would be:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex].

The circle in this question is centered at [tex](6,\, 2)[/tex].  

The radius of this circle is [tex]2[/tex]. Therefore, [tex]r = 2[/tex].

Hence, the standard equation for this circle would be:

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].

Answer:

There is no picture but I think b

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Area of the inner circle = 3^2 π = 9 π

total area = 10^2 π = 100π

area of the shaded region

100π - 9 π = 91 π

The area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have:

The radius of the inner circle r = 3cm

The distance from the edge of the inner circle to the edge of the outer circle = 7 cm

So the radius of the outer circle = 7+3 = 10 cm

Area of the inner circle = π(3)²  = 9π square cm

Area of the outer circle = π(10)²  = 100π square cm

Area of the shaded region = 100π -9π = 91π square cm

Thus, the area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.

Learn more about circle here:

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