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vampirchik [111]
3 years ago
9

Please help 25 points and brainliest

Mathematics
1 answer:
-BARSIC- [3]3 years ago
7 0

Answer:

1a. 8

1b. AB & BC

1c. AC

2. \sqrt{52} miles

3. NO

Step-by-step explanation:

1a. AC is your hypotenuse which is C² and BC is B², so we plug it in the equation.

A²+6²=10²

A²+36=100

A²=64

A=\sqrt{64}

A=8

1b. Legs are the two shorter sides, AB & BC, which are 6 & 8 respectively.

1c. The hypotenuse is the longest side AC

2. Make lines that make the graph for a triangle with a line. My graph is linked below. Then counts the points, AC=6, BC=4, then use the pythagorean therom.

6²+4²=X²

36+16=52

\sqrt{52}=X

3. 15²+17²=19²

514=361

not possible

so it is not a right triangle

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JulsSmile [24]
If you’re find the y-intercept the answer is: y=15
5 0
3 years ago
If the length of the legs of a right triangle are 5 m and 7 m, what is the length of the hypotenuse?
irakobra [83]

Answer:

c = 8.60232526704263

c \approx8.6

Step-by-step explanation:

{c}^{2}  =  {a}^{2}  +  {b}^{2}

c =  \sqrt{ {a}^{2}  +  {b}^{2} }

c =  \sqrt{ {5}^{2}  +  {7}^{2} }

c =  \sqrt{25 + 49}

c =  \sqrt{74}

c = 8.60232526704263

c \approx8.6

7 0
3 years ago
A boat crew rowed 10.5 miles downstream, with the current, in 1.5 hours. the return trip upstream , against the current , covere
alukav5142 [94]

Answer:

The speed of the boat is 5 miles per hours

The speed of the current is 2 miles per hours .

Step-by-step explanation:

Given as :

The distance cover by boat downstream = D = 10.5 miles

The time taken by boat to cover D distance = T = 1.5 hours

The distance cover by boat Upstream = d = 10.5 miles

The time taken by boat to cover d distance = t = 3.5 hours

Let The speed of boat =  x mph

Let The speed of current =  mph

Now, According to question

∵ Speed = \dfrac{Distance}{Time}

<u>For Downstream</u>

x + y = \dfrac{D}{T}

Or, x + y =  \dfrac{10.5}{1.5}

Or, x + y = 7          .......A

<u>For Upstream</u>

x - y = \dfrac{d}{t}

Or, x - y =  \dfrac{10.5}{3.5}

Or, x - y = 3          .......B

Now, Solving eq A and eq B

So, (x + y) + (x - y) = 7 + 3

Or, (x + x) + (y - y) = 10

Or, 2 x + 0 = 10

∴  x = \dfrac{10}{2}

i.e x = 5 mph

So, The speed of the boat = x = 5 miles per hours

Put the value of x into eq A

∵ x + y = 7

Or, 5 + y = 7

∴ y = 7 - 5

i.e y = 2 mph

So, The speed of the current = y = 2 miles per hours

Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer

7 0
3 years ago
A firm has a beta of 1.3 and a debt-to-equity ratio of .4. The market rate of return is 11.6
Citrus2011 [14]

Beta= 1.3

Debt to equity ratio= 0.4

Market rate of return= 11.6%

= 11.6/100

= 0.116

Tax rate= 32%

= 32/100

= 0.32

Risk free rate=  3.3%

= 3.3/100

= 0.033

Pretax cost of debt= 7.2%

= 7.2/100

= 0.072

The firm's WACC can be calacluated as follows

RS= 0.033+1.3(0.116-0.033)

= 0.033+1.3(0.083)

= 0.033+0.1079

= 0.1409

WACC= (1/1.4)(0.1409)+(2/1.4) (0.072)(1-0.32)

= (0.7142)(0.1409) + (1.4285)(0.072)(0.68)

= 0.1006+0.0699

= 0.1705(100)

= 17.05%

Hence the firm's WACC is 17.05%

6 0
3 years ago
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expeople1 [14]

Answer:

9^{4}

Step-by-step explanation:

9^-5 = 9^4  x  9^-9

4-9 = -5

7 0
3 years ago
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