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3 years ago

Pleseeeeee i need help

Mathematics

2 answers:

xxMikexx [17]3 years ago

6 0

Answer:

2. x= 60° because a triangle is 180°

kati45 [8]3 years ago

3 0

Step-by-step explanation:

x°=1x

by adding you will get three x°and by transposing we will divide and the answer will be 60°

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

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

Binomial Series

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

Factorial 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

Paper depot is swnding out 28 trucks to deliver paper to customers today. Each truck is being loaded with 3 cases of paper. 283

Stells [14]

Answer:

84 cases

Step-by-step explanation:

Given that:

Number of trucks: 28

Paper cases each truck can load = 3

Total cases of white paper = 283

So the cases delivered will be = 28 *3 = 84 cases will be delivered today

i hope it will help you!

4 0

3 years ago

Find the area of the shaded region.

Citrus2011 [14]

Answer:

pi × 18cm^2

Or approximately,

56.52cm^2 (using 3.14 for pi)

56.5487cm^2 (using pi button on calculator)

Step-by-step explanation:

Area of a circle is pi times [radius squared].

All circles are 360°.

Problem can be solved by finding area of whole circle, and then using ratios.

Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2

80° / 360° = Area[shaded] / (pi × 81cm^2)

pi × 18cm^2 = Area[shaded]

((If you read my answer before the edit, I am sorry. I made a calculator error.))

3 0

3 years ago

Nathaniel has $2 worth of dimes and quarters. He has 6 more dimes than quarters. By following the steps below, determine the num

Aleksandr-060686 [28]

Answer:

10 dimes and 4 quarters

Step-by-step explanation:

Number of dimes = d, each d = 10 c
Number of quarters = q, each q = 25 c
Total = $2 = 200 c

Equations according the given:

10d + 25q = 200
d = q + 6

Solve for q by substitution:

10(q + 6) + 25q = 200
10q + 60 + 25q = 200
35q = 140
q = 140/35
q = 4

Find the value of d:

d = 4 + 6 = 10

Nathaniel has 10 dimes and 4 quarters

8 0

3 years ago

Find the value of the expression. pm + 4 for m = 4 and p = 4

Svetlanka [38]

Pm+4=4(4)+4=20

The value is 20.

Hope this helps

7 0

3 years ago

Read 2 more answers