Susan colored in the decimal grid shown below. Write an expression that shows the area she colored. Then evaluate the exptession
1 answer:
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If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:
You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.
This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.
AREA
The formula for the area of a rectangle is:
So we can plug our dimensions into the formula:
So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is <u>175 square feet</u>.
PERIMETER
The formula for the perimeter of a rectangle is:
We can plug our dimensions into the formula:
So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is <u>55 feet</u>.
Answer:
Step-by-step explanation:
(((4x-9)•(((2•(x2))+2x)+1))•(4x-9))•((2x2+2x)+1)
] (((4x-9)•((2x2+2x)+1))•(4x-9))•(2x2+2x+1)
Trying to factor by splitting the middle term
Factoring 2x2+2x+1
The first term is, 2x2 its coefficient is 2 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 2 • 1 = 2
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 2 .
-2 + -1 = -3
-1 + -2 = -3
1 + 2 = 3
2 + 1 = 3
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
((4x-9)•(2x2+2x+1)•(4x-9))•(2x2+2x+1)
Multiplying Exponential Expressions:
4.1 Multiply (4x-9) by (4x-9)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (4x-9) and the exponents are :
1 , as (4x-9) is the same number as (4x-9)1
and 1 , as (4x-9) is the same number as (4x-9)1
The product is therefore, (4x-9)(1+1) = (4x-9)2
Trying to factor by splitting the middle term
5.1 Factoring 2x2+2x+1
The first term is, 2x2 its coefficient is 2 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 2 • 1 = 2
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 2 .
-2 + -1 = -3
-1 + -2 = -3
1 + 2 = 3
2 + 1 = 3
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Multiplying Exponential Expressions:
5.2 Multiply (2x2+2x+1) by (2x2+2x+1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (2x2+2x+1) and the exponents are :
1 , as (2x2+2x+1) is the same number as (2x2+2x+1)1
and 1 , as (2x2+2x+1) is the same number as (2x2+2x+1)1
The product is therefore, (2x2+2x+1)(1+1) = (2x2+2x+1)2
Final result :
(4x - 9)2 • (2x2 + 2x + 1)2
Answer:
63.5
Step-by-step explanation:
using soh-cah-toa, you can determine that the x and the value given are sin(theta). Sin is opposite over hyp.
thus,
once you solve that you get the angle x equals to 63.4746 which can be rounded to 63.5°
hope this helps!