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Elena L [17]
4 years ago
10

Simplify (-3)^-1 + (-1)^-3

Mathematics
1 answer:
dsp734 years ago
8 0
(-3)^{-1} + (-1)^{-3} = \frac{1}{(-3)^{1}} + \frac{1}{(-1)^{3}} = -\frac{1}{3} + \frac{1}{1} = -\frac{1}{3} + (-1) = -\frac{1}{3} - 1 = -1\frac{1}{3}
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The base and height of the triangle to the right are multiplied by 4. Describe the change in the area.
Artemon [7]
Area would be 15 if base is 6m and height is 5m
So 6*4=24
5*4=20
Area would be 240 for the 2nd answer

240/15=16

The area is 16x bigger
5 0
3 years ago
Need help! Law of cosines...find b round to the nearest tenth please
dusya [7]
ANSWER

B = 27.8 \degree

EXPLANATION

The law of cosine is given by the formula:

{b}^{2} = {a}^{2} + {c}^{2} - 2bc \cos(B)

From the diagram,

a=17, b=8, c=16

We substitute the given values into the formula to obtain:

{8}^{2} = {17}^{2} + {16}^{2} - 2(17)(16)\cos(B)

64 = 289+ 256- 544\cos(B)


64 = 545- 544\cos(B)


64 - 545 = - 544\cos(B)

- 481 = - 544\cos(B)

\frac{ - 481}{ - 544} = \cos(B)

cos(B) = 0.88419

B = \cos ^{ - 1} (0.88419)

B = 27.8 \degree
3 0
4 years ago
Read 2 more answers
C=27+10h where c= cost in dollars and h= number of hours rented ​
gavmur [86]

Answer:

that help

Step-by-step explanation:

10h+27+−27=c+−27

10h=c−27

10h10=c−2710

h=110c+−2710

Answer:

h=110c+−2710

3 0
3 years ago
What is the slope and the point based on the equation: (y-2) = 5(x - 4)
Shkiper50 [21]

Answer:

Slope = 5

Point = (4, 2)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In a class of students, the following data table summarizes how many students passed a test and complete the homework due the da
Alexxandr [17]

20 / 27 is the probability that a student chosen randomly from the class passed the test or completed the homework.

<u>Step-by-step explanation:</u>

To find the probability that a student chosen randomly from the class passed the test or complete the homework :

Let us take,

  • Event A ⇒ a student chosen randomly from the class passed the test
  • Event B ⇒ a student chosen randomly from the class complete the homework

We need to find out P (A or B) which is given by the formula,

⇒ P (A or B) = P(A) + P(B) - P(A∪B)

<u>From the given table of data,</u>

  • The total number of students in the class = 27 students.
  • The no.of students passed the test ⇒ 15+3 = 18 students.

P(A) = No.of students passed / Total students in the class

P(A) ⇒ 18 / 27

  • The no.of students completed the homework ⇒ 15+2 = 17 students.

P(B) = No.of students completed the homework / Total students in the class

P(B) ⇒ 17 / 27

  • The no.of students who passes the test and completed the homework = 15 students.

P(A∪B) = No.of students both passes and completes the homework / Total

P(A∪B) ⇒ 15 / 27

Therefore, to find out the P (A or B) :

⇒ P(A) + P(B) - P(A∪B)

⇒ (18 / 27) + (17 / 27) - (15 / 27)

⇒ 20 / 27

∴ The P (A or B) is 20/27.

7 0
3 years ago
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