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bonufazy [111]
3 years ago
10

What is the length of one leg of the triangle?11 units11/units22 units22/2 units​

Mathematics
1 answer:
son4ous [18]3 years ago
4 0

Answer:

The length of one leg of the triangle is 22 units

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the length of one leg of the triangle

we know that

In the right isosceles triangle of the figure

The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse

cos(45\°)=\frac{x}{22\sqrt{2}} ---> equation A

cos(45\°)=\frac{\sqrt{2}}{2} ----> equation B

equate equation A and equation B and solve for x

\frac{x}{22\sqrt{2}}=\frac{\sqrt{2}}{2}

x=\frac{\sqrt{2}}{2}(22\sqrt{2})=22\ units

therefore

The length of one leg of the triangle is 22 units

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Which situation could be represented by an exponential function select each correct answer
ANTONII [103]

Answer:

The first and third options are the examples of exponential functions.

Step-by-step explanation:

When a quantity is compounded after a certain interval of time at a certain rate, then we can assume that the situation can be represented by an exponential function.

In the first option:  An event organizer finds each year's attendance for the past five years is about \frac{4}{5} of previous year's attendance.

So, here the total attendance is compounding every year by a factor \frac{4}{5} of previous year's attendance.

Again, in the third case: The total population is increasing by about 7.5% each year.

Hence, the population is compounded every year by 7.5% of the previous year's population.

Therefore, the first and third options are examples of exponential functions. (Answer)

3 0
3 years ago
Write whether each statement is true of false. Explain your reasoning.
sp2606 [1]
6 - p....p = 1.5
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(30)(420) = 12000 - 600
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16.3 + 11.9 < 27
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5 0
3 years ago
The Marked price of an article is rupees 5000 .This price is 25% above the cost price. If the article is sold by allowing 10% di
Brilliant_brown [7]

Answer: 13%

Step-by-step explanation:

Step 1:

5000

10% of 5000=500

5% of 5000=250

25%=500+500+250= 1250 rupees

so...

5000-1250= 3750 INR, which is the original price, <u>BEFORE THE 25% WAS ADDED</u>

but..

They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find  15%, because 25%-10%=15%

so if...

10%=500

5%=250

15%=750 INR

this means the price with the 10% discount off 25%= 4250 INR (5000-750)

now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added

e.g 4250-3750= 500INR

Then.. divide this price with the original price before the 25% was added

e.g 500/3750= 2/15=0.13

So...

Convert 0.13 into a percentage=13%

The PERCENTAGE PROFIT of the owner is 13%

P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you

3 0
3 years ago
grade 8 , if the mine drum diameter is 6m, calculate how far the counterweight will lift for each single rotation of the drum us
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Answer:

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Step-by-step explanation:

7 0
3 years ago
How to complete this
KATRIN_1 [288]

Answer:

4x^{6}y^{7}

Step-by-step explanation:

Using the rule of exponents

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= 4x^{6}y^{7}


8 0
3 years ago
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