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Zanzabum
3 years ago
10

How much money does he have now??

Mathematics
1 answer:
lara [203]3 years ago
3 0

Answer:

945$

Step-by-step explanation:

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Which set of values could be the side lengths of a 30-60-90 triangle?
jeyben [28]
If we say that side "a" is the shortest (adjacent), side "b" is the second shortest (opposite), and side "c" is the longest (hypotenuse): then angle A would be 30°,  angle B would be 60°, and angle C would be 90°

tan B = b/a
 or
a tan B = b

they have 4 as the smallest value in all four options, so we know that a=4

4 tan 60° = b
tan 60° = √3
so, 4 tan 60° = 4√3
b=4√3

that leaves two options left, so now we find "c":

c^2 = (a^2) + (b^2)
OR
c= \sqrt{a^{2} + b^{2}}

c= \sqrt{4^{2}+(4\sqrt{3})^{2}}

c= \sqrt{16+48} \\ c=\sqrt{64} \\ c=8

so a=4, b=4√3, and c=8

Making your answer B
3 0
3 years ago
Read 2 more answers
Use the Distributive Property in REVERSE ORDER to write an expression that is equivalent to 8x + 16.
mariarad [96]

Answer:

It is the first answer you got it right

Step-by-step explanation:

4 0
3 years ago
2. If the ratio of two supplementary angles is 4:5, then what are the measures<br> of both angles?
ivann1987 [24]

Answer:

4x+5x=90

9x=90

x=90/9

x=10

4x=40

5x=50

hence the angles are 40 degree and 50 degree respectively.

Hope this may help you

Thank you

3 0
2 years ago
Sum of series 1 +1/3 +1/3².... is?​
Charra [1.4K]

Answer:

The sum of the series is 3/2

Step-by-step explanation:

Given

1 + 1/3 + 1/3^2 + ....

Required

The sum of the series

This implies that we calculate the sum to infinity.

We have:

a = 1 -- The first term

First, calculate the common ratio (r)

r = \frac{1}{3^2} / \frac{1}{3}

Change to product

r = \frac{1}{3^2} * \frac{3}{1}

Solve

r = \frac{1}{3}

The sum of the series is then calculated as:

S_{\infty} = \frac{a}{1 - r}

S_{\infty} = \frac{1}{1 - 1/3}

Solve the denominator

S_{\infty} = \frac{1}{2/3}

Express as product

S_{\infty} = 1 * \frac{3}{2}

S_{\infty} = \frac{3}{2}

7 0
3 years ago
Mr Yup sold her old car worth RM56 160 and incurred a loss of 28%. What was the original price of the car
Montano1993 [528]
Ok so after a loss of 28% she sold for 160

100-28=72

therefor
160=72%
find 100%
160:72=x:100
160/72=x/100
20/9=x/100
mutlply both sides by 900
2000=9x
divide boht sides by 9
222.2222222222=x
about $222.22

6 0
4 years ago
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