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3 years ago

Here is a right-angled triangle.

1 answer:

4 0

It is given that, ABC BC =6.5cm CA=6.3cm AB=4.8cm Steps involved in construction Step 1: First draw a line segment AB = 4.8cm using pencil and ruler And mark one end A and other end B Step 2: From the point A draw an cm Step 3: From the point B draw an arc of length 6.5 cm Step point of intersection of these arc as C. Step 5: Join A and C & B and C. Now the triangle ABC is ready with BC =6.5cm CA=6.3cm AB=4.8cm

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what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …

Crazy boy [7]

Let

$a1=768\\a2=480\\a3=300\\a4=187.5$

Step $1$

Find $\frac{a2}{a1}$

$\frac{a2}{a1} =\frac{480}{768}$

Divide by $96$ numerator and denominator

$\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\ \\ \frac{480}{768}=\frac{5}{8}$

$a2=a1*\frac{5}{8}$

Step $2$

Find $\frac{a3}{a2}$

$\frac{a3}{a2} =\frac{300}{480}$

Divide by $60$ numerator and denominator

$\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\ \\ \frac{300}{480}=\frac{5}{8}$

$a3=a2*\frac{5}{8}$

Step $3$

Find $\frac{a4}{a3}$

$a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}$

$\frac{a4}{a3} =\frac{\frac{375}{2}}{300} \\ \\ \frac{a4}{a3} =\frac{375}{600}$

Divide by $75$ numerator and denominator

$\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\ \\ \frac{375}{600}=\frac{5}{8}$

$a4=a3*\frac{5}{8}$

In this problem

The geometric sequence formula is equal to

$a(n+1)=a(n)*\frac{5}{8}\\$

For $n\geq 1$

therefore

the answer is

the common ratio for the geometric sequence above is $\frac{5}{8}$

6 0

4 years ago

Read 2 more answers

Please explain how to solve this (<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7Ba%5E5%20b%5E3%7D%20" id="TexFormula1" ti

olchik [2.2K]

2 is the base and ( $\sqrt[4][a^5 b^3]$ ) is the exponent.

the 4 is called an index and it means to fi d the fourth root of the expression under the ( $\sqrt[][text]) symbol.\\a fourth root is a factor that was multiplied four times. ex: 2*2*2*2=16. the fourth root of 16 is two. \\when you do square roots, you take the number representing the factor out of the radical. anything else that is not a square root stays under. ex: \\([tex]\sqrt[9][text])\\([tex]\sqrt[3*3*3][text]) there is one set of two 3's so\\([tex]3\sqrt[3][text])\\with a fourth root, you look for groups of four. the symbol of that group is placed outside the radical. anything else stays in.\\ ([tex]\sqrt[4][a^5 b^3]$ )

( $\sqrt[4][a*a*a*a*a*b*b*b]$ ) there is one group of 4 a's so

( $a\sqrt[4][a* b^3]$ )

there really isn't anything else to do to simplify the expression

5 0

3 years ago

Is y=x^2-6 a linear function and why

jarptica [38.1K]

Answer:

No.

Step-by-step explanation:

No, y=x²-6 is not a linear function.

This is because all linear functions have the highest exponent of 1. Anything equation that has a variable raised to a power other than 1 is not linear.

The equation provided as the highest exponent of 2. Thus, it's not linear.

From the provided graph, we can also see that this is quadratic instead of linear. The graph is a parabola instead of a line.

5 0

4 years ago

Read 2 more answers

Combine likes terms to create an equivalent expression 1/7 - 3(3/7h -2/7)

Anastasy [175]

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7}) = \frac{7-9h}{7}$

Solution:

Given expression is:

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})$

We have to combine the like terms

From given expression,

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})$

By distributive property,

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

a(b + c) = ab + bc

Therefore,

Solve for brackets using distributive property

$\frac{1}{7} - (3 \times \frac{3}{7}h) + (3 \times \frac{2}{7})\\\\\frac{1}{7} - \frac{9h}{7} + \frac{6}{7}$

Add 1/7 and 6/7

$\frac{1}{7} + \frac{6}{7} -\frac{9h}{7}\\\\\frac{1+6}{7} -\frac{9h}{7}\\\\Simplify\\\\\frac{7}{7}-\frac{9h}{7}\\\\1-\frac{9h}{7}\\\\Simplify\\\\\frac{7-9h}{7}$

Thus the equivalent expression is found

5 0

3 years ago

Which expression is represented by the number line?

Mumz [18]

Answer:

thats why its switches on my glee

Step-by-step explanation:

8 0

3 years ago