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Travka [436]
2 years ago
12

How do I solve for AB? (rounded to the nearest tenth)

Mathematics
1 answer:
kolbaska11 [484]2 years ago
7 0

Answer:

The answer would be 8.1

Step-by-step explanation:

For the smaller triangle, you use the pythagorean theorem. a squared + b squared = c squared.

To find one of the legs, you do 5 squared - 3 squared = b squared.

25 - 9 = b squared. (BD)

16 = b squared

4 = b

Now for the bigger right triangle. You still use the same tactic.

7 squared + 4 squared = c squared (which is AB)

49 + 16 = c squared

65 = c squared

That means c would equal: square root of 65, which is 8.0622577483 which rounds to 8.1

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find 2 consecutive integers such that three times the square of the first is equal to seven more than five times the second
melamori03 [73]

Answer:

Step-by-step explanation:

We are looking for two numbers, N and N + 1. From the problem statement, we can setup the following equation:

3N^{2} = 5(N + 1) + 7

3N^{2} = 5N + 5 + 7

3N^{2} - 5N - 12 = 0

(3N + 4)(N - 3)

N = \frac{-4}{3}, 3

Because 3 is the only integer solution, the answer is 3 and 4.

5 0
3 years ago
Pls help me with math ASAP
Vladimir79 [104]
C. Supplementary
This means their angles add up to 180° which is a straight line
3 0
3 years ago
Read 2 more answers
^ this week, The sparkling water was 4 for $5 , the regular was $1.69
S_A_V [24]
This week you paid $1.25 each because they were on sale for four for $5.

4 0
3 years ago
Use the data in LAWSCH85 for this exercise. (i) Using the same model as in Problem 4 in Chapter 3, state and test the null hypot
natka813 [3]

Answer:

Step-by-step explanation:

In the model

Log (salary) = B0 + B1LSAT +B2GPA +B3log(libvol) +B4log(cost)+B5 rank+u

The hypothesis that rank has no effect on log (salary) is H0:B5 = 0. The estimated equation (now with standard errors) is

               Log (salary) =    8.34 +    .0047 LSAT +   .248 GPA +   .095 log(libvol)

                                        (0.53)     (.0040)              (.090)            (.033)

                                         +     .038 log(cost)    – .0033 rank

                                              (.032)                    (.0003)

                   n = 136,    R2 = .842.

The t statistic on rank is –11(i.e. 0.0033/0.0003), which is very significant. If rank decreases by 10 (which is a move up for a law school), median starting salary is predicted to increase by about 3.3%.

(ii) LSAT is not statistically significant (t statistic ≈1.18) but GPA is very significance (t statistic  ≈2.76). The test for joint significance is moot given that GPA is so significant, but for completeness the F statistic is about 9.95 (with 2 and 130 df) and p-value ≈.0001.

6 0
3 years ago
A parabola intersects at x-axis at x= 2 and x= 6. What is the x-coordinate of the parabolas vertex?
charle [14.2K]

Answer:

  x = 4

Step-by-step explanation:

The vertex is on the line of symmetry. The zeros are located equidistant from the line of symmetry, which is ...

  x = (2 + 6)/2 = 4

The x-coordinate of the vertex is x=4.

8 0
3 years ago
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