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Sati [7]
1 year ago
7

39HF36/15GFind the value of I. Write the answer as a fraction in simplest form or a decimal rounded to the nearesthundredth.

Mathematics
1 answer:
jonny [76]1 year ago
6 0

Answer:

x=\frac{180}{13}=13.85

Step by step explanation:

We can solve this situation by using proportions for similar right triangles:

\frac{\text{shorter leg in EGF}}{\text{shorter leg in EHG}}=\frac{\text{hypotenuse in EGF}}{\text{hypotenuse in EHG}}

Substitute and solve for x:

\begin{gathered} \frac{15}{x}=\frac{39}{36} \\ 36\cdot15=39x \\ 540=39x \\ x=\frac{540}{39} \\ x=\frac{180}{13}=13.85 \end{gathered}

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A car dealership pays you 4% commission on your first $8,000 in car sales and 8% commission on additional sales over the $8,000.
Zigmanuir [339]

Answer:

Total Commission = $400


Step-by-step explanation:

Since total is $9000 (in sales) -- commision is 4% on the first $8000 and 8% in the additional part over $8000 (9000-8000=1000). So 8% on $1000.


<u>Total commission</u> = 4% of 8000 + 8% of 1000

= (0.04)(8000) + (0.08)(1000)

= 400


Total Commission is $400

7 0
3 years ago
Read 2 more answers
Factorise completely:<br> 1. 3xy - x<br>2. 4a² - 9​
Amanda [17]

Answer:

x(3y - 1) and (2a - 3)(2a + 3)

Step-by-step explanation:

(1)

3xy - x ← factor out x from each term

= x(3y - 1)

(2)

4a² - 9 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4a² - 9

= (2a)² - 3²

= (2a - 3)(2a + 3)

6 0
2 years ago
A florist received 30 dozen roses. She order 20 dozen. What percent did she receive in excess
KonstantinChe [14]
Extra 10, 10 is half of what she ordered so she received an extra 50%
8 0
3 years ago
Read 2 more answers
PLEASE HELP!!! WILL MARK AS BRAINLISTS!!!
Serjik [45]

The limit is x---->4-

The negative show that x approaches from the left

Now

As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.

Let's pick a Number

Say 3.99

Substitute this... You have

3.99/3.99-4

3.99/-0.01

If we choose x to be 3.999

we will have

3.999/-0.001

Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY

Why?

As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result

In our case... The denominator is negative... So it Will Approach a very Huge Negative Number

Hence

Answer.. X WILL APPROACH NEGATIVE INFINITY.

Vertical asymptotes are the zeroes of the denominator of a function

The denom. is x-4

Equate to zero to get the asymptote

x-4=0

x=4

Hence... There will be a vertical asymptote at x=4.

Have a great day!

7 0
3 years ago
How much does 3.25m of lace cost if 0.8m costs $5.60?
lidiya [134]

Answer:

Step-by-step explanation:

3.25/.8=4.0625

multiply that by 5.6

$22.75 is your answer

8 0
3 years ago
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