Answer:
Step-by-step explanation:
Answer:
<u>The correct answer is A. 1.5w² + 5w + 4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the portrait = 1.5 times its width in inches
Frame = 2 inches all along its perimeter
2. What is an expression for the area of the framed portrait in terms of w?
Let's recall that the area of a rectangle is length or height * width.
A = height * width
Now, we can replace in terms of w:
A = 1.5w * w
But we need to add the 2 inches of the frame, this way:
A = (1.5w + 2) * (w + 2)
A = 1.5w² + 2w + 3w + 4
<u>A = 1.5w² + 5w + 4</u>
<u>The correct answer is A. 1.5w² + 5w + 4</u>
Answer:
18°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
90° + 72° + ∠? = 180°
162° + ∠? = 180° ( subtract 162° from both sides )
∠? = 18°
Remember, the exact value cannot involve any rounding or estimates. Now, let's solve this problem. First, we have to translate it into an expression:
√72 - √8 + √128 separate the terms into square roots
√36·2 - √4·2 + √64·2 square root the terms that you can
6√2 - 2√2 + 8√2 they have like radical terms, so combine the terms
6 - 2 + 8 = 12 the coefficients are 12 when combined
12√2 this is the EXACT VALUE of the expression
Hope this helps!
Answer:
A). 101 inches
B). 110 years
Step-by-step explanation:
Years since planting Circumference Difference
1 3 -
2 5 (5 - 3) = 2
3 7 (7 - 5) = 2
4 9 (9 - 7) = 2
5 11 (11 - 9) = 2
6 13 (13 - 11) = 2
There is a difference of 2 in every successive term of the circumference.
Therefore, the given sequence is an arithmetic sequence.
Explicit formula of an arithmetic sequence is given by,
Here a = first term
n = number of terms
d = common difference
From the given table,
Here = circumference after 'n' years
n = Age of the plant
By this formula,
Circumference of a tree after 50 years,
= 101 inches
Age of tree with the circumference = 221 inches,
221 = 2n + 1
2n = 220
n = 110 years