Answer:
The answer is A.
Step-by-step explanation:
The only reason why it is A is because area is just (l x w) or length times width. The length is 9cm and the width is 8cm. If you multiply that, the answer would be 72cm.
Answer:
x=39°
Step-by-step explanation:
the tangent from the diameter is 90°
x+90+51=180 sum of interior angle of the triangle is 180
x=180-90-51=39°
The frame will go around all 4 sides of the painting. That means that the length of each side of the painting will increase by 2.5 inches. The height, <em>h</em>, will now be <em>h</em> + 5 (2.5 inches on the top and the bottom). The width, 2<em>h</em> + 3, will now be 2<em>h</em> + 3 + 5 (again, 2.5 inches on the top and the bottom). The area would be given by
(<em>h</em> + 5)(2<em>h</em> + 3 + 5) = (<em>h</em> + 5)(2<em>h</em> + 8)
Multiplying this, we have:
<em>h</em>*2<em>h</em> + <em /><em>h</em>*8 + <em />5*2<em>h</em> + 5*8 = 2<em>h</em>² + 8<em>h</em> + 10<em>h</em> + 40 = 2<em>h</em>² + 18<em>h</em>² + 40
Which of the following is a geometric sequence? 3, 6, 12, 24, … 4, 8, 12, 16, … 2, 4, 16, 256, …
Svetlanka [38]
Answer:
The geometric sequence would be 3, 6, 12, 24 . . .
Step-by-step explanation:
A <u>geometric sequence</u> is when the you find the next term in the sequence by multiplying by a <em>common ratio</em>. (A common ratio is the constant value that you <em>multiply</em> by each time in a geometric sequence.) In order to solve your problem, you would find the relationship between each term in the sequence. For the first sequence, 3, 6, 12, 24, etc., you can see that the ratio between one term and the next would be two: 3×2 = 6, 6×2 = 12, 12×2 = 24, and so on. This makes it a geometric sequence, but you still need to check the other sequences to make sure. For the sequence 4, 8, 12, 16, . . . , you need to add four each time. This means that the sequence has a <em>common difference</em>, or the constant value you <em>add or subtract</em> by in an <u>arithmetic sequence</u>. So, we know that the second sequence is not the answer. Finally, we check the last sequence, and if you look at it you can see that the you square the previous term to get the current one. This is different from a geometric sequence, and has a different name. However, it is not a geometric sequence because you are not multiplying by the <em>same</em> value each time (it doesn't have a common ratio). So, the first sequence, 3, 6, 12, 24, . . . , is a geometric sequence.
Answer:
A) I consumed 69 calories.
B) There are 21 cashews in one serving.
Step-by-step explanation:
Given that the nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams, and I eat 9 cashews totaling 12 grams, to determine how many calories do I consume and how many cashews are in one serving should be performed the following calculations:
A)
28 = 161
12 = X
12 x 161/28 = X
1932/28 = X
69 = X
So, I consumed 69 calories.
B)
12 = 9
28 = X
28 x 9/12 = X
252/12 = X
21 = X
Therefore, there are 21 cashews in one serving.