All categories

3 years ago

Which is heavier 9 5/8 pounds or 9 3/4 pounds ? By how much?

Mathematics

1 answer:

Anika [276]3 years ago

5 0

Answer:

9 3/4 is heavier by 0.125 pounds

Step-by-step explanation:

9 5/8 - 9 3/4 = -.125

9 3/4 - 9 5/8 = .125

You might be interested in

HELPP ASAP!!step by step anwserssw

Natasha_Volkova [10]

X - The total cost
3 persons
Below $120 p/p
Then
120 * 3 = 360
X < 360/3

5 0

2 years ago

Derive these identities using the addition or subtraction formulas for sine or cosine: sinacosb=(sin(a+b)+sin(a-b))/2

Sergeu [11.5K]

Answer:

The work is in the explanation.

Step-by-step explanation:

The sine addition identity is:

$\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)$ .

The sine difference identity is:

$\sin(a-b)=\sin(a)\cos(b)-\cos(a)\sin(a)$ .

The cosine addition identity is:

$\cos(a+b)=\cos(a)\cos(b)-\sin(a)\sin(b)$ .

The cosine difference identity is:

$\cos(a-b)=\cos(a)\cos(b)+\sin(a)\sin(b)$ .

We need to find a way to put some or all of these together to get:

$\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}$ .

So I do notice on the right hand side the $\sin(a+b)$ and the $\sin(a-b)$ .

Let's start there then.

There is a plus sign in between them so let's add those together:

$\sin(a+b)+\sin(a-b)$

$=[\sin(a+b)]+[\sin(a-b)]$

$=[\sin(a)\cos(b)+\cos(a)\sin(b)]+[\sin(a)\cos(b)-\cos(a)\sin(b)]$

There are two pairs of like terms. I will gather them together so you can see it more clearly:

$=[\sin(a)\cos(b)+\sin(a)\cos(b)]+[\cos(a)\sin(b)-\cos(a)\sin(b)]$

$=2\sin(a)\cos(b)+0$

$=2\sin(a)\cos(b)$

So this implies:

$\sin(a+b)+\sin(a-b)=2\sin(a)\cos(b)$

Divide both sides by 2:

$\frac{\sin(a+b)+\sin(a-b)}{2}=\sin(a)\cos(b)$

By the symmetric property we can write:

$\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}$

3 0

2 years ago

A parabolic listening device is shaped such that the depth of the bowl depends on its radius and can be represented by the curve

Rus_ich [418]

Answer:

7.428 inches

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Simplify the expression:<br> 7x2–5x2<br><br> i need the answer quickly

soldier1979 [14.2K]

Answer:

2x^2

Step-by-step explanation:

combine like terms, and do the subtraction!

5 0

2 years ago

Read 2 more answers

Solve for y 8x-7y=23 (fill all of the boxes)

bezimeni [28]

Answer:

i think this is the correct answer

Step-by-step explanation:

Simplifying

8x + -7y = 23

Solving

8x + -7y = 23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7y' to each side of the equation.

8x + -7y + 7y = 23 + 7y

Combine like terms: -7y + 7y = 0

8x + 0 = 23 + 7y

8x = 23 + 7y

Divide each side by '8'.

x = 2.875 + 0.875y

Simplifying

x = 2.875 + 0.875y

6 0

2 years ago