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2 years ago

Help please - first question

Mathematics

1 answer:

Afina-wow [57]2 years ago

5 0

The answer should be x=60. ABD are an equilateral triangle all the angles must add up to 180. 60*3=180. Also if you have a protractor you can measure the angle C, the 60 degrees part and measure it against A, D and B. Hope this helps.

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There are 7 rows of chairs and each row has 12 chairs in them; how many chairs are there altogether?

anyanavicka [17]

Answer:

184

Step-by-step explanation:

Just multiply 12 by 7

4 0

2 years ago

Read 2 more answers

Bill has enough money to buy one Half pound of cheeses. How much cheese will he buy?

Zepler [3.9K]

Answer: half pound

Step-by-step explanation: lol

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2 years ago

Solve the following equation for x using the natural logarithm

labwork [276]

Use log rule
log(ab) = log a + log b

Take log of both sides:
$ln 4 + ln 4^x = ln 10 + ln e^{-x}$

Use log rule
log(a^n) = n*log(a)

$ln 4 + xln 4 = ln 10 -xln e \\ \\ ln 4 + xln 4 = ln 10 -x \\ \\ x ln 4+x = ln 10 - ln 4 \\ \\ x(ln 4 +1) = ln 10 -ln 4 \\ \\ x = \frac{ln 10 - ln 4}{ln 4 +1}$

5 0

3 years ago

Perform the addition or subtraction and simplify. (20 points)

pentagon [3]

You have to find the LCD or least common denominator.
In this case the LCD would be (x-6)(x+5).

Problem: x/ x-6 - 1/x+5

Step 1: multiply x-6 to the numerator and denominator of 1/x+5

1(x-6)/ (x+5)(x-6)

Step 2: multiply x+5 to the numerator and denominator of x/x-6
x(x+5)/ (x+5)(x-6)

After all that, this is how the problem should look now

x(x+5)/ (x-6)(x+5) - 1(x-6)/ (x-6)(x+5)

If you simplify this you get

x²+5x-x+6/ (x-6)(x+5)

If you subtract both 5x-x (like terms) you get

x²+4x+6/ (x-6)(x+5)
which is the answer

7 0

3 years ago

Say a business found that 98.3% of soda cans at a production facility in California are filled correctly. The company chooses 10

Shtirlitz [24]

Answer:

The events must be independent.

Step-by-step explanation:

The only assumption that must be made is that the events are independent. That is, the amount of soda in a given can does not depend on the amount of soda of any previous can filled at the same facility.

If this assumption holds, then the probability of finding exactly k cans of soda filled correctly would be

$\displaystyle\binom{100}{k}(0.983)^k(1-0.983)^{100-k}$

where

$\displaystyle\binom{100}{k}=\displaystyle\frac{100!}{k!(n-k)!}$

are combinations of 100 elements taken k at a time.

3 0

3 years ago