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3 years ago

The lengths of three line segments are 4 centimeters,5 centimeters,and 9 centimeters?is it 1,

Mathematics

1 answer:

adelina 88 [10]3 years ago

4 0

9 is the base of the triangle 4 is the leg and 5 is the

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Explain how connecting digits to the right of the decimal point helps you multiply decimals.

Alex787 [66]

answer:

the decimal point shifts to the right to represent each multiplication by 10

Step-by-step explanation:

an example is 1.23*10

would give you 12.3 and if you multiply it by 100 it would give you 123

5 0

3 years ago

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

<u>Binomial Series</u>

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

2 years ago

4.Find the length of the diagonal of a rectangle having dimensions 16 cm and 12 cm.

nignag [31]

Answer:

20 cm

Step-by-step explanation:

So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle. H = 20 cm. So the diagonal of the rectangle = 20 cm.

7 0

3 years ago

Read 2 more answers

Holly deposited $10,000 in an investment account. After 6 years the account is worth approximately $13,400. Which formula repres

anyanavicka [17]

A=p(1+r)^t
13400=10000(1+r)^6
Solve to find the interest rate
r=((13,400÷10,000)^(1÷6)−1)×100
r=4.99%=5%

7 0

3 years ago

X-42=-33 what is the solution ?

bogdanovich [222]

X = -33 + 42
x = 42 - 33
x = 9

5 0

3 years ago

Read 2 more answers