Find the area of circle Q in terms of x

Answer:

A = 96 inches ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the bases and h is the height

A = 1/2( 14+10)*8

A = 1/2(24)*8

A = 12*8

A = 96 inches ^2

The area of trapezoid is given

A = 1/2 (b1+b2)h where b1 and b2 is base and h is height

A = 1/2 (14+10)*8

A = 1/2 (24)*8

A = 12 * 8

507 - 30 =  477

477 / 0.4 = 1192.5

1192.4 / 8 = 149.0625 miles or 150 miles

i don't know if this is right cause the answer seems so absurd

Answer:

At 2

Step-by-step explanation:

I think it is because it slants down instead of going up. That is the reason why I say my answer is at 2.

HOPE THIS HELPED

Answer:

(i): $10.20

(ii): $32:51

Step-by-step explanation:

(i) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $1.80

3. subtract the discount, $1.80, from the original price, $12: $10.20

(ii) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $5.74

3. subtract the discount, $5.74, from the original price, $38.25: $32.51

(i) The sale price of the book of original price $12 is $10.20.

(ii) The original price of the jacket is $38.25.

The percentage is a calculation method for every 100.

The original price of a book is $12.

In a sale the original prices are reduced by 15%.

∴ Price reduced = $(12*15%)

=$ 1.80

Hence, the sale price is = $(12-1.80)

=$10.20

The discounted price is the price a buyer pays after getting a discount of marked price.

Here, the sale reduces price by 15%

The discounted price is equivalent to = (100-15)%

=85%

By the condition ,

85% = $38.25

∴100%= $(38.25/85*100)

=$ 45

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Answer:

1/24 (fraction form)

hope this helps

Answer:

34

Step-by-step explanation:

Angle XYZ is an inscribed angle and arc XZ is the arc it intercepts

An inscribed angle is equal to half the measure of its intercepted arc

Hence Angle XYZ = half of arc XZ

If arc XZ = 68 then angle XYZ = half of 68

68/2=34

XYZ = 34

Answer:

3x+ 7 =49

Step-by-step explanation:

49-7= 42

42 divided by 3 = 14

her daughter is 14 years old

I truly hope this helped, it makes sense to me. I wasn't sure whether or not you needed a more detailed equation, but that's one.

have a great day!

Red Candy = 5

Green Candy = 6

Blue Candy = 11

Total Candies = 22

Probability = Possible Outcomes/Total Outcomes

Red + Green = 11

Total outcomes = 22

Probability = 11/22

= 1/2

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There is 6.19% chance of drawing a red and green candy from the bowl.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. In this case, we are interested in finding the probability of drawing a piece of red and green candy from a bowl containing red, green, and blue candies. To calculate this probability, we will use the concept of independent events and the formula for probability.

We have a bowl with a total of 5 red candies, 6 green candies, and 11 blue candies. The total number of candies in the bowl is 5 + 6 + 11 = 22.

We are drawing two candies from the bowl, and after each draw, we replace the candy back into the bowl. This means that the number of candies remains the same for each draw.

To calculate the probability of drawing a red and green candy, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The number of favorable outcomes is the number of ways we can draw one red candy and one green candy.

We can draw a red candy in 5 ways (since there are 5 red candies), and we can draw a green candy in 6 ways (since there are 6 green candies). Therefore, the number of favorable outcomes is 5 * 6 = 30.

The total number of possible outcomes is the total number of ways we can draw two candies from the bowl. Since we are replacing the candies after each draw, the total number of possible outcomes for each draw is equal to the total number of candies in the bowl, which is 22. Since we have two draws, the total number of possible outcomes is 22 * 22 = 484.

Now, we can calculate the probability of drawing a red and green candy by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 30 / 484

Probability ≈ 0.0619

Therefore, the probability of drawing a piece of red and green candy from the bowl is approximately 0.0619 or 6.19%.

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Answer: ten Twenty-one

Step-by-step explanation:

10/21

Answer:

Step-by-step explanation:

SecA - TanA

= 1/CosA - SinA/CosA

= 1 - SinA/CosA

We know that Sin2A = 2SinACosA  and Cos2A = Cos²A - Sin²A

Thus SinA = Sin2(A/2) = 2Sin(A/2)CosA/2

       CosA = Cos2(A/2) = Cos²A/2 - Sin²A/2

Now substituting the values back,

=> 1 - 2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)

// we know that Sin²θ + Cos²θ = 1

=> Sin²(A/2) + Cos²A/2 -  2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)

//We know that numerator is of form a² + b² - 2ab which is (a - b)².

//Similarly denominator is of form a² - b² which is (a - b)(a + b)

=> [Sin(A/2) - Cos(A/2)]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [ - {Cos(A/2) - Sin(A/2)}]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [Cos(A/2) - Sin(A/2)]² /  [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [Cos(A/2) - Sin(A/2)] / [Cos(A/2) + Sin(A/2)]

= R.H.S

Hence proved.

Answer:

(I don't have the complement sign of sets, so I've used "©" to denote compliment)

L.H.S.

(B-A)∪C

= (B∩A©)∪C

= (B∪C)∩(A©∪C)

= (B∪C)∩(A-C)©

= (B∪C)-(A-C) = R.H.S.

(Proved)

Answer:

substitute for v, when v = -2.9

Step-by-step explanation:

[tex]-1.98=5.2v+13.1[/tex]

subtract 13.1 on both sides.

[tex]-15.08=5.2v[/tex]

divide by 5.2 to isolate v

[tex]\frac{-15.08}{5.2} = \frac{5.2v}{5.2}[/tex]

[tex]-2.9=v[/tex]

substitute for v

[tex]-1.98=5.2(-2.9)+13.1[/tex]

[tex]-1.98=-15.08+13.1[/tex]

[tex]-1.98=-1.98[/tex]

The board length that will be bought is 4.438 feet

Since the board will be cut into 3 pieces. From the information given in the question, the lengths of the board will be:

= 1.4 feet + 1.4 feet + (1.17 × 1.4 feet)

= 1.4 feet + 1.4 feet + 1.638 feet

= 4.438 feet

In conclusion, the board length that should be bought is 4.438 feet.

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[tex]\\ \sf\longmapsto 2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48} \\\\ \sf\longmapsto 2 \sqrt{25 \times 3} - \sqrt{36 \times 3} + 5 \sqrt{16 \times 3} \\ \\ \sf\longmapsto 2 \times 5 \sqrt{3} - 6 \sqrt{3} + 5 \times 4 \sqrt{3} \\ \\ \sf\longmapsto 10 \sqrt{3} - 6 \sqrt{3} + 20 \sqrt{3} \\ \\ \sf\longmapsto (10 - 6 + 20) \sqrt{3} \\ \\ \sf\longmapsto 24 \sqrt{3} [/tex]

Answer:

24aprtment3

Step-by-step explanation:

I think the length is 17.75cm and the width is 12.75 cm

I'm not entirely sure whether it's the smallest possible length but it works on the calculator

17.75*2+12.75*2=61

Answer:

y = -x+3

Step-by-step explanation:

Slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -1x +b

Using the point for x and y we can calculate b

-2 = -1(5)+b

-2 = -5+b

Add 5 to each side

-2+5 = b

3 = b

y = -x+3

Answer:

According to provided table we have:

We know that a function is a such relationship where each input has exactly one output.

Now, the answer choices:

A) The relation is not a function because the output 6 has two inputs.

B) The relation is not a function because one output is paired with multiple outputs.

C) The given list is the domain of the function. The range is 6, 7, 8, 9.

D) The given list is missing elements of the range. The range is 1, 2, 3, 4, 5, 6, 7, 8, 9

Answer:

Gloves = 11 pairs

Socks = 4 pairs

Step-by-step explanation:

Given that :

Time taken to knit pair of socks = 3 hours

Time taken to knit pair of gloves = 7 hours

Total time taken to knit 15 pairs of gloves and socks = 89 hours

Let :

number of socks = x and number of gloves = y

x + y = 15 - - - - (1)

3x + 7y = 89 - - - (2)

From (1):

x = 15 - y

Put x = 15 - y in (2)

3(15 - y) + 7y = 89

45 - 3y + 7y = 89

45 + 4y = 89

4y = 89 - 45

4y = 44

y = 44/4

y = 11

From :

x = 15 - y

x = 15 - 11

x = 4

Answer:

9. Hypotenuse = √(19.1²+11.3²) = √492.5 = 22.2 m²

10. Area = (34×40)/2 + (17²×π/2)

= 680 + 453.96

= 1133.96 cm²

Answered by GAUTHMATH

Answer:

1 significant figure: 50,000 2 significant figures: 52,000 3 significant figures: 51,800

Step-by-step explanation:

FIrst, a significant figure is basically a non-zero digit (at least in your case). Basically, the 1 significant figure in your case would be to the nearest 10 thousand, which would be 50,000. Now, for 2 significant figures. This would be the nearest thousand, 52,000. Finally, 3 significant figures is to the nearest hundred, aka 51,800. Note: If you find a problem like this again 0 in between two digits that aren't 0 is a significant digit, aka the 0 in 51809. Hope this helped!

Answer:

0.85y

Step-by-step explanation:

Cost of the wrist watch = $y

Present percentage = 100%

Percentage Loss = 15%

Selling price = (Present percentage - Percentage Loss) * Cost of the wrist watch

= (100% - 15%) * y

= 85% * y

= 85/100 * y

= 0.85 * y

= 0.85y

Selling price = 0.85y

Answer:

the answer is b, 8 units right, and 5 units up

Step-by-step explanation:

The image of △JKL after a translation of 8 unit right and 5 units up to   △J"K" L directly.

The act of moving a figure or shape from one location to another is known as translation. A figure can move up, down, right, left, or anywhere else in the coordinate system during translation. The only thing that changes about the object in translation is its position; its size stays the same.

Given  Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)

and  Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L',

and  Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.

from graph coordinates of △J"K"L are J"(5, 9), K"(4, 1) and L"(14, 3)

change in J to J" is (5 - (-3), 9- 4) =(8 , 5),

same for K to K" and L to L"

ΔJKL moves 8 units right and 5 units up to  △J"K"L"

Hence  8 units right and 5 units up  translation would move △JKL to △J"K" L directly.

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Answer:

Its c

Step-by-step explanation:

Answer:

The overall range is 20

Step-by-step explanation:

Given

The above dataset

Required

The overall range

Range is calculated as

[tex]Range = Highest - Lowest[/tex]

The highest of the dataset is 22, and it can be found in  Milkweed.

The lowest of the dataset is 2, and it can be found in  Daisy

So, the range is:

[tex]Range = 22 - 2[/tex]

[tex]Range = 20[/tex]

Answer:

see explanation

Step-by-step explanation:

If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.

NQ is an angle bisector then ∠ MNQ = ∠ PNQ

∠ M = ∠ N , so the triangle is isosceles with 2 equal legs, then

MN = PN

----------------------------------------------

∠ MNQ = ∠ PNQ

MN = PN ( included sides between the 2 angles )

∠ M = ∠ N

Δ MNQ ≅ Δ PNQ by the ASA postulate

Answer:

Step-by-step explanation:

In Δ MNP,

∠NMQ ≅ ∠NPQ

⇒ NM = NP - ------> (I)     {Sides opposite to equal angles are equal}

In ΔMNQ & ΔPNQ,

∠MNQ  ≅ ∠PNQ             {NQ is angle bisector}

NM  = NP                     {from (I)}

∠NMQ ≅ ∠NPQ           {Given}

ΔMNQ ≅ ΔPNQ          -  Angle Side Angle  {ASA congruent}

Answer:

70

Step-by-step explanation:

we have the angle of vertex in the isosceles triangle = 180-2*bottom coner= 180-65/2=50

3 angles in the equilateral triangle are equal to 60

we have 50 + 60 +h =the angle of PQR =180

h=70

Answer: h = 70°

In the triangle with Angle R = 65

It is a isoceles triangle as two sides are equal

So base angles will be equall too

Then the third angle will which is the q one will be

65+65+q = 180

q = 180 - 130

q = 50

In the other triangle with all sides equal will be equilateral triangle which means all angles equal = 60

So

Now ATQ

60 + 50 + h = 180

h = 180 - 110 (Angles on a straight line adds upto 180)

h = 70

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Answer:

X = 32, y = 16

Step-by-step explanation:

Cos 30 = (16√3) ÷ x

x = (16√3) ÷ cos 30

x = 32

Sin 30 = y ÷ 32

y = 32 sin 30

y = 16

Answer:

Step-by-step explanation:

The central angle of a hexagon is 60 degrees. Drop a line from the center to the middle of the side marked 7.

Use the  tan of the angle so formed (which is 30 degrees)

Tan(30)= opposite / height (which is the line you just drew).

Tan(30) = 3.5 / h

Tan(30) = 0.5774

Tan(30) = 3.5 / h                multiply both sides by h

h*Tan(30) = 3.5                  Divide by tan30

h = 3.5 / Tan(30)

h = 3.5 / 0.5774

h = 6.062

Now from both ends of the given side, draw 2 lines to the center. Find the area of that triangle.

Area of 1 triangle = 1/2 * b * h

area of 1 triangle = 1/2 * 7 * 6.062

Area of 1 triangle = 21.2176

There are 6 such triangles so multiply that number by 6

Answer:  6 * 21.2176

Answer:  127.31