How many times does 5 go into 100

Answers

Answer 1

Answer: I believe in this item, we are asked to determine how many 5's should be added together in order to form 100. This is calculated by dividing 100 by 5. The answer by completing the operation would be equal to 20. Hence, the answer is 20.

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Suppose theta= 11pi/12. How do you use the sum identity to find the exact value of sin theta?

Answers

The better way is, first we have to find the equivalent in degrees

$2\pi=360\º$

$(11\pi)/(12)=345\º$

now we can change this value to $-15\º$

how do we get an angle like this?!

$30\º-45\º=-15\º$

then

$sin(30\º-45\º)=sin(30\º)*cos(45\º)-sin(45\º)*cos(30\º)$

$\begin{Bmatrix}sin(30\º)&=&(1)/(2)\n\nsin(45\º)&=&cos(45\º)&=&(√(2))/(2)}\end{matrix}\n\ncos(30\º)&=&(√(3))/(2)\end{matrix}$

now we replace this values

$sin(-15\º)=(1)/(2)*(√(2))/(2)-(√(2))/(2)*(√(3))/(2)$

$sin(-15\º)=(√(2))/(4)-(√(6))/(4)$

$\boxed{\boxed{sin(-15\º)=sin(345\º)=(√(2)-√(6))/(4)}}$

Simplify fully
a) 8c²d^5 ÷ 2c³d³
b) 9a³b^5 ÷ 3ab²

Answers

Answer:

Step-by-step explanation:

In exponent division, if base are same , subtract the exponents.

$(a^(m))/(a^(n))=a^(m-n) , m>n\n\n (a^(m))/(a^(n))= (1)/(a^(n-m)), m<n$

a) 8c²d⁵ ÷ 2c³d³ = $(8)/(2)* (d^(5-3))/(c^(3-2))= 4*(d^(2))/(c)= (4d^(2))/(c)$

b) 9a³b⁵ ÷ 3ab² = $(9)/(3)* a^(3-1)*b^(5-2) = 3a^(2)b^(3)$

Answer:

A) 8d^2/3c

B) 3a^2b^3

Step-by-step explanation:

Find the slope, if it exists, of the line containing the pair of points. (-17,-9) and (-19-18) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is (write an integer or a simplified fraction.)_________ B. The slope is undefined.________