Find the surface area of this rectangular solid.

Which equation is not equivalent to x + 10 = 2x – 4?

alekssr [168]

It would be B I believe!!

8 0

3 years ago

The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle i

nasty-shy [4]

Answer:

60cm^2

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

K = (12 cm) (5cm) = 60 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.

8 0

3 years ago

50 more than ___ is 64.

Sloan [31]

50 more than 14 is 64

14 + 50 = 64

Hope this helps

-AaronWiseIsBae

6 0

4 years ago

Read 2 more answers

Addison is making Caramel apples. She has 2 1/2 bags of apples. One bag has 8 apples, and each apple weighs 5 ounces

andrey2020 [161]

Answer:

The expression that can be used is :

Number of bags x Number of apples in a bag x Weight of 1 apple

The total weight of apples in 2 1/2 bags of apples = 100 ounces.

Step-by-step explanation:

The given question is INCOMPLETE.

Addison is making caramel apples. She has 2 1/2 bags of apples. One full bag has 8 apples, and each apple weighs 5 ounces. Write an expression that could be used to find the total number of ounces of apples Addison has. Then find the total number of ounces.

Now, here the weight of 1 apple = 5 ounces

1 bag = 8 apples

⇒ Weight of 8 apples = 8 x ( weight of 1 apple) = 8 x (5 oz) = 40 oz

⇒ Total weight of 1 bag of apples = 40 oz

Now, the total bags of Apples Addison has = 2 1/2 bag

= 2 + 1/2 bag = 2. 5 bag

So, the weight of apples in 2.5 such bags = 2.5 x ( Weight in 1 bag)

= 2.5 ( 40 oz) = 100 oz

Hence, the total weight of apples in 2 1/2 bag = 100 ounces.

The expression that can be used

= Number of bags x Number of apples in a bag x Weight of 1 apple

= 2 1/2 x 8 x (5 oz)

3 0

4 years ago

Cos pi/4 cos pi/6= 1/2(___pi/12+cos 5pi/12) fill in the blank

inessss [21]

Answer:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{12})+\cos(\frac{5\pi}{12}))$

So the blank is cos.

Step-by-step explanation:

There is an identity for this:

$\cos(a)\cos(b)=\frac{1}{2}(\cos(a+b)+\cos(a-b))$

Let's see if this is fit by your left hand and right hand side:

So $a=\frac{\pi}{4}$ while $b=\frac{pi}{6}$ .

Let's plug these in to the identity above:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{4}+\frac{\pi}{6})+\cos(\frac{\pi}{4}-\frac{\pi}{6}))$

Ok, we definitely have the left hand sides are the same.

Let's see if the right hand sides are the same.

Before we move on let's see if we can find the sum and difference of $\frac{\pi}{4}$ and $\frac{\pi}{6}$ .

We will need a common denominator. How about 12? 12 works because 4 and 6 go into 12. That is 4(3)=12 and 6(2)=12.

$\frac{\pi}{4}+\frac{\pi}{6}=\frac{3\pi}{12}+\frac{2\pi}{12}=\frac{5\pi}{12}$ .

$\frac{\pi}{4}-\frac{\pi}{6}=\frac{3\pi}{12}-\frac{2\pi}{12}=\frac{\pi}{12}$ .

Let's go back to our identity now:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{4}+\frac{\pi}{6})+\cos(\frac{\pi}{4}-\frac{\pi}{6}))$

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{5\pi}{12})+\cos(\frac{\pi}{12}))$

We can rearrange the right hand side inside the ( ) using commutative property of addition:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{12})+\cos(\frac{5\pi}{12}))$

So comparing my left hand side to their left hand side we see that the blank should be cos.

4 0

3 years ago