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Andre45 [30]
3 years ago
7

What are the lengths of sides t and k?

Mathematics
1 answer:
Alina [70]3 years ago
7 0

Answer:

30

Step-by-step explanation:

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Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"? 90 degree rotation about po
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Answer:

A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Pls help due in 10 mins
defon
Mark me brainliest and I will
8 0
3 years ago
Round 3184.5641 to the nearest hundred
Sonja [21]
When you round you have to check the number to the right of the number you are rounding. If the number to the right is 0-4 then you keep the number the same. 5-9 the number you are rounding goes up by one. Now the 4 before the decimal point is in the ones spot. The 5 to the right of the 4 is the tenth spot and the 6 to the right of that is in the hundredth spot. so this is where we need to round. To the right of the 6 is a 4 so the number would stay the same. Now when you round you drop all the numbers after it so the number is 3184.56
6 0
3 years ago
Solve the inequality 4t^2 ≤ 9t-2 please show steps and interval notation. thank you!​
Misha Larkins [42]

Answer:

[0.25, 2]

Step-by-step explanation:

We have

4t² ≤ 9t-2

subtract 9t-2 from both sides to make this a quadratic

4t²-9t+2 ≤ 0

To solve this, we can solve for 4t²-9t+2=0 and do some guess and check to find which values result in the function being less than 0.

4t²-9t+2=0

We can see that -8 and -1 add up to -9, the coefficient of t, and 4 (the coefficient of t²) and 2 multiply to 8, which is also equal to -8 * -1. Therefore, we can write this as

4t²-8t-t+2=0

4t(t-2)-1(t-2)=0

(4t-1)(t-2)=0

Our zeros are thus t=2 and t = 1/4. Using these zeros, we can set up three zones: t < 1/4, 1/4<t<2, and t>2. We can take one random value from each of these zones and see if it fits the criteria of

4t²-9t+2 ≤ 0

For t<1/4, we can plug in 0. 4(0)²-9(0) + 2 = 2 >0 , so this is not correct

For 1/4<t<2, we can plug 1 in. 4(1)²-9(1) +2 = -3 <0, so this is correct

For t > 2, we can plug 5 in. 4(5)²-9(5) + 2 = 57 > 0, so this is not correct.

Therefore, for 4t^2 ≤ 9t-2 , which can also be written as 4t²-9t+2 ≤ 0, when t is between 1/4 and 2, the inequality is correct. Furthermore, as the sides are equal when t= 1/4 and t=2, this can be written as [0.25, 2]

8 0
3 years ago
elie is now 4 times as old as her son. in 5 years time shes going to be 3 times as old as her son. how old is ellies son now?
tigry1 [53]

Answer:

Her son is 10 years old.

Step-by-step explanation:

Let son be x

Ellie is 4x

In 5 years time: Her son = x + 5

Ellie = 4x + 5

Given that she will then be 3 times as old as her son: 4x + 5 = 3(x + 5)

Solve x: 4x + 5 = 3(x + 5) ,4x + 5 = 3x + 15

x = 10

5 0
3 years ago
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