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Stells [14]
3 years ago
9

Log(x) + log(x+2) = log 3

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Answer:

x=1 and -3

Step-by-step explanation:

log(x)+log(x+2)=log(3)

log(x(x+2))=log(3)

x(x+2)=3, simple quadratic. x=-3 and 1. Answered by Gauthmath

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In 2005 13.1 out of every 50 employees at a company were women. If there are 41,330 total employees estimate the number of women
ZanzabumX [31]

Answer:

10829 women

Step-by-step explanation:

41330 x 13.1 / 50 = 10828.46, or about 10829 women

5 0
3 years ago
The diagram shows a 9cm x 7cm rectangle-based pyramid. all the diagonal sides - TA, TB, TC, AND TD- are length 12cm. M is the mi
lakkis [162]

Answer:

∠TAC is approximately equal to 61.6°

Step-by-step explanation:

The given parameters for the pyramid are;

The dimension for the rectangular base are; Length = 9 cm, width = 7 cm

The length of the diagonal sides, TA, TB, TC, and TD = 12 cm each

The midpoint of the rectangular base = Point M

The diagonal AC = AM + MC

AM = MC as given M is the midpoint of the rectangular base

∴ AC = AM + MC = 2·AM

By Pythagoras' theorem, AC = √(9² + 7²) = √130

AC = √130 cm

∴ AM = AC/2 = (√130)/2 cm

Alternatively, AM = √((9/2 cm)² + (7/2 cm)²) = √(32.5) cm

∠TAC = ∠TAM

By trigonometric ratios, we have;

cos (\theta) = \dfrac{Length \ of \ adjacent \ side \ to \ angle }{Length \ of \ hypotenuse\ side \ to \ angle}

\therefore cos (\angle TAM) = cos (\angle TAC) =  \dfrac{\left (\dfrac{\sqrt{130} }{2}   \right )}{12} = \dfrac{\sqrt{130} }{2 \times 12} = \dfrac{\sqrt{130} }{24}

\angle TAC = arccos \left ( \dfrac{\sqrt{130} }{24} \right ) \approx  61.6 ^{\circ} \ to 1 \ decimal \ place

6 0
2 years ago
Find the value of x in the triangle shown below.
Crazy boy [7]

Answer:

i think its the same as one of the angles: 42º

correct me if im wrong

3 0
3 years ago
three friends split the cost of a pizza and a salad. The pizza costs $15 and the salad costs $6. which expression can you use to
larisa [96]

The expression is (15+6) */* 3. This is because we add up all the costs to get the total, and divide the total by three because there are three friends splitting the cost.

4 0
3 years ago
Mr.mathis owes $269 on a auto loan. write an integer to represent this situation
Bogdan [553]
He has -269 dollars available, symbolizing he is in debt.
4 0
3 years ago
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