Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?

Felicia Wants To Build A Kite With The Shape Shown. If AC Is 60 Cm, How Many Centimeters Are In The Length

Answers

Answer 1

Answer:

Step-by-step explanation:

By applying tangent rule in the given right triangle AOB,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{BO}{OA}[/tex]

[tex]OA=BO(\sqrt{3})[/tex]

By applying tangent rule in the given right triangle BOC,

tan(60°) = [tex]\frac{OC}{BO}[/tex]

OC = BO(√3)

OA + OC = AC

[tex]BO(\sqrt{3})+BO(\sqrt{3}) =60[/tex]

2√3(BO) = 60

BO = 10√3

OC = BO(√3)

OC = (10√3)(√3)

OC = 30

By applying tangent rule in right triangle DOC,

tan(60°) = [tex]\frac{OD}{OC}[/tex]

OD = OC(√3)

OD = 30√3

Since, BD = BO + OD

BD = 10√3 + 30√3

BD = 40√3

      ≈ 69.3

Felicia Wants To Build A Kite With The Shape Shown. If AC Is 60 Cm, How Many Centimeters Are In The Length

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by which smallest number should the following number be multiplied to make the perfect square of 384​

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The prime factorization of 384 = 2^7 * 3.

So in order to make it a perfect square, you must multiply it by 2*3 = 6 to make is 2^8 * 3^2.

8 lb. 9 oz.
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Step-by-step explanation:

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Answer:

20

Step-by-step explanation:

Since the triangles are similar then the sides must be proportional

10/6 = x/12 cross multiply expressions

6x = 120 divide both sides by 6

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Diameter=d=23.4in

We know

[tex]\boxed{\Large{\sf Circumference=\pi d}}[/tex]

[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{22}{7}\times 23.4[/tex]

[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{514.8}{7}[/tex]

[tex]\\ \Large\sf\longmapsto Circumference=73.5in[/tex]

The graph represents a functional relationship.
Which value is an input of the function?
Iy
8
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0 0
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Answers

Answer: 4

I hope this helps I’m sorry if it’s wrong

By analyzing the graph we conclude that the value that is an input is x = 4.

Which value is an input of the function?

For the inputs, we need to look at the horizontal axis. In the graph we can see a closed dot at x > 0 (we can't see the exact value).

This means that the minimum of the domain is positive.

From that, we conclude that the only correct option, that we can be sure that belongs to the domain (set of the inputs), is x = 4, the third option.

If you want to learn about domains:

https://brainly.com/question/1770447

#SPJ5

ax^2-y^2-x-y factorize​

Answers

Answer:

x(ax-1)-y(y+1)

Step-by-step explanation:

you have to group the like terms

ax^2-x-y^2-y

x(ax-1)-y(y+1)

I hope this helps

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Answers

In this question, we want to find the average rate of change of a function over an interval, it represents by how much f(x) changes when x changes by 1.

Average rate of change:

The average rate of change of a function over an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

[tex]f(x) = 2x^3 + 4[/tex]

Between x = 4 and x = 6, so [tex]a = 4, b = 6[/tex]. Then

[tex]f(a) = f(4) = 2*4^3 + 4 = 132[/tex]

[tex]f(b) = f(6) = 2*6^3 + 4 = 436[/tex]

Then

[tex]A = \frac{436 - 132}{6 - 4} = 152[/tex]

Thus, the average rate of change of the function is of 152, that is, when x changes by 1, y changes by 152.

For another problem involving an average rate of change, you can check https://brainly.com/question/14481908

Find the distance between the two points.
(5,5)
(2.2)
✓ [?]
Enter the number that
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radical symbol.

Answers

Answer:

[tex]{18}[/tex]

Step-by-step explanation:

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

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

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

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

Answered by GAUTHMATH

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The answer is : Sn = S(n-1) + n

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Answer:

not great with math but I'm sure it's the second circle

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Answers

Answer:

A: the sample size is less than 30

Step-by-step explanation:

Usually, the t-distribution is used instead of normal distribution in calculation of the mean of a normally distributed population when the sample size is small (n < 30) and if the population standard deviation is not known.

Thus, looking at the options, the correct one is Option A.

What is the range of the absolute value function shown in the graph?
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Answers

Answer:

C

Step-by-step explanation:

as we can see on the graph, the lowest y value is the vertex/corner at x=3, y=-6.

all other y values are above (=are larger) that level.

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Answers

Use the Chinese remainder theorem.

Start with x = 3×5 + 2×7 = 15 + 14 = 29. Now,

• 29 ≡ 15 ≡ 1 (mod7)

• 29 ≡ 14 ≡ 4 (mod5)

Adjust for this by multiplying the first term in x by 3, and the second term by 3 (because 4×3 ≡ 12 ≡ 2 (mod5)).

So now x = 3×5×3 + 2×7×3 = 45 + 42 = 87, and

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• 87 ≡ 42 ≡ 2 (mod5)

The CRT then says that x ≡ 87 (mod(7×5)) ≡ 87 (mod35), which is to say any number x = 87 + 35n satisfies both congruences (where n is any integer).

So there are 3 possible 2-digit numbers that work: {17, 52, 87}.

To confirm:

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• 87 ≡ 85 + 2 ≡ 2 (mod5) and 87 ≡ 84 + 3 ≡ 3 (mod7)

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Answers

Answer:

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Step-by-step explanation:

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Answered by GAUTHMATH

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

5.5 cm

Step-by-step explanation:

√(40²-24²) - √(40²-30²)

= 32-10√7

= 5.5 (rounded to the nearest tenth)

Answered by GAUTHMATH

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Detailed explanation:

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Answers

Answer:

A number that describes both the direction and the steepness of the line is known as slope of the line .

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Answer:

C.) 3-4i

Step-by-step explanation:

because it is negative in a graph

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Answer:

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Step-by-step explanation:

que es la razon de una figura semejante

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English for fast response

The freezing point of oxygen is –218.790C and hydrogen is –252.80C. A lab is lowering the temperature inside a fridge. Which freezes first? How much colder does it have to be for both to freeze?

Answers

Answer:

Oxygen; 34.01°C

Step-by-step explanation:

The oxygen freezes first as it has a higher (warmer) freezing point. For both to freeze, the temperature must drop a further 34.01°C as:

-218.79 - (-252.8)

= 252.8 - 218.79

= 34.01

A cage holds two litter of rats. One litter comprises one female and five males. The other litter comprises seven females and two males. A random selection of two rats is done. Find the probability that the two rats are from the same litter.​

Answers

Answer:

The probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.

Step-by-step explanation:

Since a cage holds two litter of rats, and one litter comprises one female and five males, while the other litter comprises seven females and two males, and a random selection of two rats is done, to find the probability that the two rats are from the same litter the following calculation must be performed:

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Answers

Answer : -5a² + 10a

It was way easy ikr ~w~

Answer:

-5a2+10a

Step-by-step explanation:

distribute

-5a(a-2)

-5a2+ 10

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Answers

Answer:

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Step-by-step explanation:

i'm not 100% sure, but i hope this helps.

find the values of the sine,cosine and tangent of the following angles.
a.153°
b.204°
c.320°​

Answers

Answer:

a)sin153°=0.454

cos153°=   -0.891

tan153°=   -0.510

b)sin 204°=  -0.407

cos204°=    -0.914

tan204° =   0.445

c)sin320°=   -0.643

cos320° =  0.766

tan320°=  -0.839

Step-by-step explanation:

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