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frosja888 [35]
3 years ago
7

Find the area of the figure. Round to the nearest tenth if necessary.

Mathematics
1 answer:
Anestetic [448]3 years ago
8 0
So I went ahead and divided up the figure so that you would understand what I'm going to tell you. Let's start with the red rectangle.

The distance from point R to point I is 6 units and the distance from Point R to point S is 5 units. 6*5 = 30 so that red rectangle has an area of 30 units

Now let's calculate triangle AVI. Area of a triangle is Base * Height. The base is 1 and the height is 5 which means the area of triangle AVI is 5.

Next, triangle ALT. From Point A to point L is 4 unit. From Point L to point T is 3 units. 4*3 is 12. So triangle ALT has an area of 12.

Triangle TSI. From Point T to point L is 3 units. From Point L to X is 2. Triangle TSI has an area of 6.

Now we add all of them up. 30+5+12+6 = 53. In total, RSTUV has an area of 53

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Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by
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Answer:

800 different sets of digits.

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

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3 years ago
I need help with this exponential function problem, please show work :)
andreev551 [17]

Answer:

a = 12. b =1/6. g(x) = 12(1/6)^x

Step-by-step explanation:

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First we should use the give values to us in the table which are x=0 then g(x) = 12 and if x =1, then g(x) = 2. We should plug in the value where x = 0 since any value to the power of 0 is 1. 12= a *b^0. 12=a *1. Then we will get the value of a which is 12. Then we plug in our second given value to find b. 2 = 12 * b^1. First we will divide both sides by 12 to find b. 2/12 = 1/6. since any value to the power of 1 is itself then b =1/6. Then you will have a = 12. b =1/6 so g(x) = 12(1/6)^x

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