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Mama L [17]
3 years ago
5

Osian was 1.5 m tall. In the last couple of years,his height has increased by 20%

Mathematics
1 answer:
3241004551 [841]3 years ago
4 0

For this case we must find the current height of Osian. For this, we use the following rule of three:

1.5 m ----------------> 100%

x -----------------------> 120%

From here, we clear the value of x.

We have then:

x = \frac {120} {100} (1.5)\\x = 1.8 m

Answer:

The current height of Osian is given by:

x = 1.8 m

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Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standi
torisob [31]

Andrew can reach a maximum of 24.6ft high up the wall.

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sin(72^\circ})=\dfrac{h}{20}

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Which point would be a solution to the system of linear inequalities ?
brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

y\leq \frac{4}{3}x+5 ----> inequality A

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we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y  of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

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Inequality B

-1\geq -\frac{5}{2}(0)+5

-1\geq 5 ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

3\leq \frac{4}{3}(0)+5

3\leq5 ----> is true

Inequality B

3\geq -\frac{5}{2}(0)+5

3\geq 5 ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

-6\leq \frac{4}{3}(-6)+5

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-6\geq -\frac{5}{2}(-6)+5

-6\geq 20----> is not true

therefore

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Inequality A

-6\leq \frac{4}{3}(12)+5

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-6\geq -\frac{5}{2}(12)+5

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67,1 - 38,29 = 28,81

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