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uysha [10]
3 years ago
5

Find the length of side AB Give your answer to 1 decimal place

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0

Answer:

First to find AB we use cosine

cos ∅ = Adjacent / hypotenuse

AB is the adjacent

BC is the hypotenuse

cos ∅ = AB/AC

cos 70 = AB / 8

AB = 8 cos 70°

AB = 2.736

AB = 2.7cm to one decimal place

Hope this helps

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Two dice are rolled simultaneously and the difference of the numbers are
zavuch27 [327]

Answer:

Step-by-step explanation:

you can draw a table that has 7 rows and 7 columns, put the 6 numbers and their difference( 1-1=0, 1-2= -1, 1-3= -2,...)

-       1      2     3    4    5    6

1      0      1      2    3    4    5

2    -1      0      1     2    3    4

3    -2     -1     0     1     2    3

4    -3     -2    -1     0     1    2

5    -4     -3    -2    -1     0    1

6    -5    -4     -3    -2    -1   0

8 0
3 years ago
Calculate the average mass of 100 marbles that weigh 824g
Lina20 [59]

Answer:

8.24 grams/marble

Step-by-step explanation:

Average mass = (total mass)/(number of marbles)

Here, that would be:

824 g

-------------------  =  8.24 grams/marble

100 marbles

7 0
3 years ago
Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −
crimeas [40]

Solving quadratic equations, it is found that he needs to charge:

1. He needs to charge $40 to break even.

2. He needs to charge $30 for a profit of $600.

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

The profit equation in this problem is:

P(x) = -3x² + 150x - 1200.

He breaks even when P(x) = 0, hence:

-3x² + 150x - 1200 = 0.

The coefficients are a = -3, b = 150, c = -1200, hence:

  • \Delta = 150^2 - 4(-3)(-1200) = 8100
  • x_1 = \frac{-150 + \sqrt{8100}}{-6}
  • x_2 = \frac{-150 - \sqrt{8100}}{-6} = 40

He needs to charge $40 to break even.

For a profit of $600, we have that P(x) = 600, hence:

-3x² + 150x - 1200 = 600.

-3x² + 150x - 1800 = 0.

The coefficients are a = -3, b = 150, c = -1800, hence:

  • \Delta = 150^2 - 4(-3)(-1800) = 900
  • x_1 = \frac{-150 + \sqrt{900}}{-6}
  • x_2 = \frac{-150 - \sqrt{900}}{-6} = 30

He needs to charge $30 for a profit of $600.

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

6 0
2 years ago
What is the answer to the equation -2x-8=-10
Oxana [17]
You need to get "x" by itself on one side

-2x-8=-10

Add positive eight on both sides---because its the opposite of negaitve

-2x-8+8=-10+8

-2x=-2

Divide -2 by -2

-2÷-2=1

<u>x=1</u>
6 0
3 years ago
Ben’s driving test had 40 questions and he correctly answered 12 more than he missed. How many questions did he miss?
k0ka [10]

Answer:

He missed 14 questions

Step-by-step explanation:

Total = Right + Miss ⇒ t = r + m

Right = Miss + 12 ⇒ r = m + 12

t = 40

Since t = r + m and r = m + 12 then:

t = m + 12 + m

t = 2m + 12

40 = 2m + 12

28 = 2m

m = 14

3 0
3 years ago
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