Step-by-step explanation:
This can be put into fractions like this
Say x is the length of the missing dimension
8.5/11 = 10.5/x
Because the 2 drawings are SIMILAR, the ratio of their side lengths has to also be the same
8.5 ÷ 10.5 = 0.8095
11 × 0.8095 = 8.9047
Roung the answer to the nearest tenth
x = 8.9 in
Answer:
(Base x height) x 1/2
Step-by-step explanation:
We do this because a triangle is emulating a rectangle with Base x Height. However, a triangle's shape is less conventional than a standard square or rectangle, thus the division by 2.
The area of a rectangle is L x W, so 9(5+x) is the formula for the area in factored form. It can be simplified to 45+9x
Answer:
Half of a number is 15
Step-by-step explanation:
First of all, add commas between each option so it's easier to read I had a hard time figuring out what the options were because of this.
An equation is a statement that the values of two mathematical expressions are equal. An expression is a collection of symbols that jointly express a quantity. This means there has to be an equal sign when the phrases are put into numerical form.
Twice as much as a number: 2X
12 less than a number: X - 12
Half of a number is 15: X/2 = 15
The difference of 20 and a number: 20 - X
As you can see, only one of these phrases is an equation by definition, and that is X/2 = 15, or half of a number is 15. That's because it's the only one that values two expressions as equal.
Answer: 1:1
Step-by-step explanation:
Let r be the radius and h be the height of a cylinder.
Formula: Curved surface area of cylinder = 
Now, if radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height will be 
Now, new surface area = 
Ratio of curved surface areas : 
Hence, the ratios of their surface areas = 1:1 .
