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3 years ago

5

The lengths of two sides of the right triangle ABC shown in the illustration given

1 answer:

Nina [5.8K]3 years ago

3 0

Answer:

25 cm.

Step-by-step explaination:

Given,

Two sides of a triangle:

a = 7cm

b = 24 cm

To find,

Third side:

c = ?

By Pythagorean Theorem;

a² + b² = c²

[where c is the longest side,hypotenuse]

Putting the value of a and b;

we get,

7² + 24² = c²

49 + 576 = c²

625 = c²

25² = c² (square root)

25 = c

c = 25

Therefore, the length of the third side will be equal to 25 cm.

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Determine the function which corresponds to the given graph<br> The asymptote is x=3

stepladder [879]

The function has a horizontal asymptote at y = 3.
The function has a vertical asymptote at x = -3.
The function has a vertical intercept of 1.
The function has a zero of x = -2.

Because the function has a zero at x = -2, and a vertical asymptote at x = -3, therefore
$y= \frac{k(x+2)}{x+3}$

Write the function in the form
y = $y= \frac{k(1+ \frac{2}{x}) }{1+ \frac{3}{x} }$

As x → ∞, y → k.
Because a horizontal asymptote exists at y = 3, therefore k = 3.
A vertical intercept exists at y = 1.
The function is
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3 years ago

Mr. Diaz has 347 apple trees in his orchard. He has 162 more apple trees than peach trees in his orchard . How many peach trees

strojnjashka [21]

Answer:

Mr. Diaz has 185 peach trees

Step-by-step explanation:

x = peach trees

x + 162 = 347

solve to get x = 185

5 0

3 years ago

Find the zeros of the function by first factoring the polynomial.

torisob [31]

Step-by-step explanation:

y2 + 4y - 5

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3 years ago

Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie'

monitta

Answer:

The sum of money received by Ali, Carrie and Bryan is $ 740.

Step-by-step explanation:

At first we translate mathematically each sentence:

(i) <em>Ali, Carrie and Bryan received a sum of money. </em>

$a$ - Ali's money.

$b$ - Bryan's money.

$c$ - Carrie's money.

(ii) <em>Bryan's money was </em> $\frac{3}{5}$ <em> of Ali's money</em>.

$b = \frac{3}{5}\cdot a$ (1)

(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.

$\frac{a}{c} = 4$ (2)

(iv) <em>Ali had $ 160 more than Bryan</em>.

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After some algebraic handling, we have the following system of linear equations:

$3\cdot a - 5 \cdot b = 0$ (1b)

$a - 4\cdot c = 0$ (2b)

$a - b = 160$ (3b)

The solution of the system is: $a = 400$ , $b = 240$ , $c = 100$

The sum of money is:

$s = a + b + c$

$s = 740$

The sum of money received by Ali, Carrie and Bryan is $ 740.

4 0

3 years ago

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11111nata11111 [884]

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