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2 years ago

Start at 200. create a pattern that multiplies each number by 2. stop when you have 5 numbers

Mathematics

1 answer:

s2008m [1.1K]2 years ago

8 0

Answer:

200 → 400 → 800 → 1600 → 3200

Step-by-step explanation:

starting at 200 and multiplying by 2 until you have 5 numbers.

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1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch

kykrilka [37]

Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle.

Thus, half the angle formed by the chord at the centre of the circle is given by:

$\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2} \\ \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o$

Now,

$\sin60^o= \frac{9}{r} \\ \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392$

Therefore, the radius of the circle is 10.4 cm to 1 d.p.

Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

$\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o$

Now,

$\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm$

Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

$\sin40^o= \frac{y}{10} \\ \\ \\ \Rightarrow y=10\sin40^o=6.428$

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.

3 0

3 years ago

Estimate the product. Choose a method.<br><br> 33 x 76

Anna [14]

OK 33*76= 2508 if that is your question if its not tell me and i will see what i can do

6 0

3 years ago

How many solutions?

Semmy [17]

Answer: A Single Solution

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Solve for x and not to scale

sergij07 [2.7K]

Answer:

x = 90

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

$\frac{BC}{NE}$ = $\frac{AB}{TN}$ , substitute values

$\frac{3}{27}$ = $\frac{10}{x}$ ( cross- multiply )

3x = 270 ( divide both sides by 3 )

x = 90

6 0

2 years ago

71. the expression 14x 3 represents the perimeter of the triangle. what is the length of the third side? 3x 2 7x - 4

Alex

The Length of third side of the triangle is 4x +5

What is the Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

How to determine the length of the third side of the Triangle?

The given parameters are:

Length of the first side = 3x+2

Length of the second side =7x-4

Perimeter of the triangle =14x+3

Now, The perimeter is the sum of the sides of lengths

So, we have

Perimeter = sum of the sides of lengths

According to the question:

14x+3 =3x+2 +7x -4 + third side

Evaluate the like terms

14x-10x = -2 -3

third side = 4x + 5

Hence, The length of the third side of the triangle is 4x+5

Learn more about of perimeter of the triangle

brainly.com/question/19214072

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4 0

1 year ago