Evaluate -c when c = 12

The area of triangle ABD = x² * √3 / 2 and The area of triangle BCD =       y * √(5x² + 4y² - 2xy√5)

To find the area of triangle ABD, we can use the formula for the area of a triangle: Area = (1/2) * base * height

In triangle ABD, the base is AD and the height is the perpendicular distance from point B to line AD. Since AB : AD = 1 : 2, we can let AB = x and AD = 2x.

Now, we can use the Law of Cosines to find the length of side BD. In triangle ABD, we have:

BD² = AB² + AD² - 2 * AB * AD * cos(∠BAD)

BD² = x² + (2x)² - 2 * x * (2x) * cos(120°)

Simplifying the equation:

BD² = x² + 4x² - 4x² * (-1/2)

BD² = 5x²

Taking the square root of both sides:

BD = √(5x²) = x√5

Since BE : ED = 3 : 4, we can let BE = 3y and ED = 4y.

Now, we can find the length of side BC. In triangle BCD, we have:

BC² = BD² + CD² - 2 * BD * CD * cos(∠BCD)

BC² = (x√5)² + (2y)² - 2 * (x√5) * (2y) * cos(∠BCD)

BC² = 5x² + 4y² - 4xy√5 * cos(∠BCD)

Since the quadrilateral ABCD is inscribed in a circle, ∠BCD = 180° - ∠BAD = 60°.

BC² = 5x² + 4y² - 4xy√5 * cos(60°)

BC² = 5x² + 4y² - 4xy√5 * (1/2)

BC² = 5x² + 4y² - 2xy√5

The area of triangle ABD is given by:

Area ABD = (1/2) * AB * AD * sin(∠BAD)

Area ABD = (1/2) * x * 2x * sin(120°)

Area ABD = x² * √3 / 2

The area of triangle BCD is given by:

Area BCD = (1/2) * BC * CD * sin(∠BCD)

Area BCD = (1/2) * √(5x² + 4y² - 2xy√5) * 2y * sin(60°)

Area BCD = y * √(5x² + 4y² - 2xy√5)

Further calculations require numerical values for x and y to obtain specific areas.

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9514 1404 393

Answer:

Step-by-step explanation:

Your calculator can answer these easily.

The first two are True; the last one is False.

Answer:

20N

Step-by-step explanation:

Force=3000N/15

F=600/3

F=20N

102 miles

90-38.51 = 51.49 dollars left over

51.49/.5 = just over 102 miles

Answer:

she sold 5,115 ml of fruit juice and in liters is 5.115 liters

The 90% confidence interval is between R96.94 and R105.06

The confidence (C) = 90% = 0.9, Mean (μ) = 101, standard deviation (σ) = 39, sample size (n) = 250

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z score of α/2 corresponds with the z score of 0.45 (0.5 - 0.05) which is equal to 1.645

The margin of error (E) is given by:

[tex]E=Z_\frac{\alpha }{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.645 *\frac{39}{\sqrt{250} } =4.06[/tex]

The confidence interval = μ ± E = 101 ± 4.06 = (96.94, 105.06)

Therefore the 90% confidence interval is between R96.94 and R105.06

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Answer:

each cup is $1.20 each

Step-by-step explanation:

hope this helps

Answer:

536 people

Step-by-step explanation:

3477-2941=536

Answer:

536 more visitors visited the zoo last month this month.

Step-by-step explanation:

just subtract

Answer:

No

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.

Answer:

Area of the circle is 6.25π sq.unit

Step-by-step explanation:

The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴

Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]

The Area of Circle whose endpoints of a diameter of a circle are A (2,1) and B(5,5) is 6.25 sq unit.

If there are two points in the coordinates plane as P(a, b) and Q(c, d) then the distance between these two points are

PQ = √(c- a)² + (d-b)²

We have the endpoints of a diameter of a circle are A (2,1) and B(5,5).

Now, using Distance Formula

d= √{(x2 - x1)² + (y2 - y1)²}

Here, x1 = 2; y1 = 1; x2 = 5; y2 = 5

d = √{(5 - 2)² + (5 - 1)²}

d = √{(3)² + (4)²}

d = √{9 + 16}

d = √25

d = 5 unit

Now, Area of Circle

= πr²

= 3.14 x 2.5 x 2.5

= 6.25π sq units

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50,000

hope it helps you

Answer:

50.24 ÷ number of people

Step-by-step explanation:

When you divide the total cost by the number of people there are, you will get the amount of money each person paid. Hope this helps!

Answer:

1

Step-by-step explanation:

This one once learned is clapz. Anything to the zero power is 1. ;)

Answer:

D. 2 1/4 per hour

Step-by-step explanation:

Hope this helps also give me brainliest lol.

Saya yakin jawabannya adalah -26 karena ketika Anda melakukan perkalian terlebih dahulu, kemudian lakukan pecahan 33 1/2 dan setelah itu Anda akan menambahkan 2 dan pengurangan 5,5 yang semuanya akan sama dengan -26. semoga saya benar dan ini membantu. (:

Step-by-step explanation:

9. a)

2•(-2) = 2 - 6

-4 = -4

-2 -2 = -2•2

-4 = -4

Yes, the ordered pair is the solution

9. b)

-1 = 3•(-2) +5

-1 = -6 +5

-1 = -1

3•(-2) +(-1) = -2

-6 -1 = -2

-7 ≠ -2

No, the ordered pair is not the solution

10. (-1, -1) and (3, -1)

11.

y = 6 +x

Now substitute it in the first equation:

3•(6 +x) = 5x

18 + 3x = 5x

18 = 2x

x = 18/2

x = 9

Now, substitute x = 9 in the second equation:

y -9 = 6

y = 6 +9

y = 15

Answer:

Step-by-step explanation:

all you have to do is multiply 17 * 14 and that's how you got your answer

Answer:

221.6667

Step-by-step explanation:

Step one is to add all of the players weight together.

- lets write an equation 3(201)+ 6(232)

Now simplify the expression, 603+1392. Add them together to get  1995 LBS

Step two is finding the mean

- The mean is adding up all the numbers and dividing by the amount. So there are 9 players and their total weight is 1995 LBS. take 1995 and divide by 9 to get your answer. This is 221.66667. Make sure to round if the question asks!!!!

Answer:

2 - 3 + 15 = 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

n;

Convection; Radiation; Insulation.

PLTS/Gatsby:

Effective participants;

Independent Enquirers.

Compare group 1, 7 and 8 elements.

The BIG question

is… What is the trend in reactivity in the alkali metals, halogens and noble gases

sSHUTSHHHHHHHHHHHHHHUTUPPPPPPPPPPPPP

Answer:

153, 155, 93, 31, 78, 125, 150, 87, 157, 118, 67

Answer:

17 is x=6.

Step-by-step explanation:k

How to calculate force?

.Inorder to calculate force we will use Newton's second law of motion.

[tex]\\ \sf\longmapsto Force=Mass\times Acceleration [/tex]

[tex]\\ \sf\longmapsto F=ma[/tex]

Here we can observe

[tex]\\ \sf\longmapsto F\propto a[/tex]

[tex]\\ \sf\longmapsto F\propto m[/tex]

Answer:

2b[tex]^{8}[/tex]

Answer:

the triangle is isosceles triangle. so, the two angles of the same side are equal.

(5x)°=40°

x = 40/5

x = 8

40° +40°+(2y+20)°=180°

80 + 2y +20 =180°

100° +2y =180°

180°-100°=2y

80° = 2y

80°/2= y

40 = y

Answer:

[tex](x - 6)(x + 5) = {x}^{2} - x - 30 \\ or \\ a {x}^{2} + bx + c\\ {x}^{2} +( x_{1} + x_{2}) x + x_{1} .x_{2} \\ b = x_{1} + x_{2} = 5 - 6 = - 1 \\c = x_{1} .x_{2} = - 6 \times 5 = - 30 \\ \therefore \: {x}^{2} - x - 30[/tex]

you do the rest

Answer: B

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

there is no hundredth in 0.25

Rounding 0.25 to the nearest hundredth gives us 0.26.

We must look at the digit in the thousandth place, which is the following decimal place after the hundredth place, in order to round 0.25 to the closest hundredth.

We round up the digit in the hundredth place by adding 1 since the digit in the thousandth place is 5, which is equal to or larger than 5.

Thus, 0.26 is obtained by rounding 0.25 to the next tenth.

0.25 (initial number) worked

(Number in the thousandth place) (Number in the hundredth position)

We round up the digit in the hundredth place since the digit in the thousandth place is 5, which is 5.

Hence rounding to the nearest hundredth, 0.25 equals 0.26.

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