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3 years ago

What is the solution of the inequality Y+1<6

Mathematics

2 answers:

N76 [4]3 years ago

7 0

Y < 5..................

umka2103 [35]3 years ago

6 0

Answer:

y < 5

Step-by-step explanation:

Given

y + 1 < 6 ( isolate y on the left side by subtracting 1 from both sides )

y < 5

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John who is 5 ft tall is standing 20 feet away from a tree, and you measure the angle of elevation to be 38∘. How tall is the tr

fenix001 [56]

Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

Given the angle = Ф = 38⁰

Adjacent = a = 5 ft

Opposite = b = 20 ft

Hypotenuse = Tree length = c ?

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

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

substituting a=5, b=20

$c=\sqrt{5^2+20^2}$

$c=5\sqrt{17}$

$c=20.6$ ft

Thus, the tree is 20.6 ft tall.

3 0

3 years ago

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Natasha2012 [34]

Answer:

$x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}$ are zeroes of given quadratic equation.

Step-by-step explanation:

We have been a quadratic equation:

$2x^2-10x-3$

We need to find the zeroes of quadratic equation

We have a formula to find zeroes of a quadratic equation:

$x=\frac{b^2\pm\sqrt{D}}{2a}\text{where}D=\sqrt{b^2-4ac}$

General form of quadratic equation is $ax^2+bx+c$

On comparing general equation with b given equation we get

a=2,b=-10,c=-3

On substituting the values in formula we get

$D=\sqrt{(-10)^2-4(2)(-3)}$

$\Rightarrow D=\sqrt{100+24}=\sqrt{124}$

Now substituting D in $x=\frac{b^2\pm\sqrt{D}}{2a}$ we get

$x=\frac{(-10)^2\pm\sqrt{124}}{2\cdot 2}$

$x=\frac{100\pm\sqrt{124}}{4}$

$x=\frac{100\pm2\sqrt{31}}{4}$

$x=\frac{50\pm\sqrt{31}}{2}$

Therefore, $x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}$

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3 years ago

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The medication tablets contain 3.5 grains each. The physician's orders state that the patient is to receive 14 grains of medicat

Lubov Fominskaja [6]

14 / 3.5 = 4.....4 tablets should be administered

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3 years ago

The product of 30 degrees and 60 degrees is the same as the product of

VMariaS [17]

as the product of 90 degrees and 20 degrees

30x60=1800

90x20=1800

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3 years ago

You are given f(x)=-5x2+10x-5

Bond [772]

Answer:

Step-by-step explanation:

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3 years ago

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