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Yuri [45]
3 years ago
9

If the area (in square units) of the region under the curve of the function f(x) = 4 on the interval [1, a] is 20 square units,

and a > 1, then what is the value of a?
Answers to choose from is: a) 5, b) 6, c) 8, d) 9.
Mathematics
2 answers:
Aliun [14]3 years ago
5 0

Answer:

6

Step-by-step explanation:

Plato

Vesnalui [34]3 years ago
3 0

Answer:

b) 6

Step-by-step explanation:

The function f(x) = 4 is simply the horizontal line y = 4. Therefore, the region bounded by the curve of the function f(x) = 4 on the interval [1, a] with  a > 1 is simply a rectangle whose length is (a-1) units and width 4 units. We have been informed that the area is 20 square units, therefore we can formulate the following equation using the formula for the area of a rectangle;

Area = length * width

20 = 4(a-1)

5 = a-1

a = 6

Therefore, the value of a should be 6.

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Irina18 [472]

Answer:

1/2 or one half

Step-by-step explanation:

8 0
3 years ago
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Part B
stira [4]
<h3>Given:</h3>
  • Radius of 50 point region= 3 in
  • Width of other regions= 4 in
<h3>To find:</h3>

The area of the target which earns 30 points on a throw.

<h3>Solution:</h3>

\huge\boxed{Formula: a= \pi{r}^{2}}

4+3

=7

Let's solve

We have to find the answer in terms of π so, we'll just have to multiply the radius by itself.

a={7}^{2}

\large\boxed{a= 49 \pi\: {in}^{2}}

<u>Hence,</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the target which earns 30 points on a throw</u><u> </u><u>is</u><u> </u><u>4</u><u>9</u><u>π</u><u> </u><u>square</u><u> </u><u>inches</u><u>.</u>

<u>Answer</u><u>=</u><u> </u><u>Option</u><u> </u><u>B</u>

7 0
2 years ago
The price of an item has risen to $276 today. Yesterday it was $115. Find the percentage increase.
Nezavi [6.7K]
Are you kidding me, bro? lol

276-115=131
131 divided by 276 = 0.47

0.47% increase
6 0
3 years ago
Which Two Numbers add Up To 11 and Multiply To 10
alekssr [168]


The two numbers are 10 and 1. When you add 10 and 1, it adds up to 11. When you multiply 10 by 1, the answer is 10.

Hope it helps :)

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Setler79 [48]
(-5, 3)
Hope this helps!!!
7 0
3 years ago
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