Find the value of x to the nearest degree.
A. 58
B. 52
C. 38
D. 32

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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Hello,

Correct Answer is 12/3

For angle theta, perpendicular side is AB=12 and hypotenuse side is BC=13.

The sine of angle is equal to the ratio of perpendicular side to the hypotenuse side. So, sine of angle theta is:-

[tex]sin \: θ = \frac{12}{3} [/tex]

So, sine ratio angle is 12/3.

{ Note: Here, the ratio is written using slash (/) symbol as it is asked to use the slash symbol in the answer. }

✍️ By Benjemin ☺️

50,000

hope it helps you

Answer:

each cup is $1.20 each

Step-by-step explanation:

hope this helps

102 miles

90-38.51 = 51.49 dollars left over

51.49/.5 = just over 102 miles

Answer:

20N

Step-by-step explanation:

Force=3000N/15

F=600/3

F=20N

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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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:

Step-by-step explanation:

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

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:

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:

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

Answer: B

Step-by-step explanation:

Answer:

a) 3.5metres

b) 34metres

Answer:

1

Step-by-step explanation:

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

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:

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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Answer:

y=7

Step-by-step explanation:

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

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]

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. (:

Answer:

The exact same from when it went up

Step-by-step explanation:

it never said the rock was thrown at a angle besides directly up and the boy didn't move so it hit his head

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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Answer:

x= 13

Step-by-step explanation:

can i please get branlist? if not thats okay.

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:

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

Answer:

2 - 3 + 15 = 14

Step-by-step explanation: