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2 years ago

Greg has a piece of string that is 3 1/3 yards long. If he cuts off 3/4 yard, how many yards of the string

Mathematics

1 answer:

lozanna [386]2 years ago

8 0

2(7/12) yards will be left

3(1/3) =10/3
10/3 - 3/4. = 40/12- 9/12
= 31/12
=. 2(7/12)

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Evaluate |-3| - |5|. - 8 - 2 2 8

Sedaia [141]

Is it subtract 228? if so then 3-5 equals -2. -2-8 equals -10. -10-228 equals -238

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3 years ago

Which word describes a triangle with three angles, if each angle measures less than 90°?

NemiM [27]

Answer:

acute triangle

Step-by-step explanation:

A triangle with all angles less than 90 degrees has all angles that are acute.

Acute angles are less than 90 degrees

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3 years ago

12×5 is egual to what

Ira Lisetskai [31]

Step-by-step explanation:

12×5 =60

Ik it helps you so no problem

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2 years ago

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At a certain time of the day, a tree that is x meters tall casts a shadow that is x-49 meters long. If the distance from the top

nikklg [1K]

The height of the tree is 60 meters.

Explanation:

Let the height of the tree be x. The tree casts a shadow of $x-49$ meters and the distance from the top of the tree to the end of the shadow is $x+1$ meters.

The sides of the triangle are attached in the image below:

Using pythagoras theorem,

$x^{2}+(x-49)^{2}=(x+1)^{2}$

Expanding, we get,

$2 x^{2}-98 x+2401=x^{2}+2 x+1$

$2 x^{2}-98 x+2400=x^{2}+2 x$

$2 x^{2}-100 x+2400=x^{2}$

$x^{2}-100 x+2400=0$

Solving the equation using the quadratic formula $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , we get,

$x=\frac{-(-100)\pm\sqrt{(-100)^{2}-4 \cdot 1 \cdot 2400}}{2 \cdot 1}$

Simplifying, we have,

$x=\frac{100\pm\sqrt{10000-9600}}{2}$

$x=\frac{100\pm\sqrt{400}}{2}$

$x=\frac{100\pm{20}}{2}$

Thus,

$x=\frac{100+20}{2} \\x=\frac{120}{2} \\x=60$ and $x=\frac{100-20}{2} \\x=\frac{80}{2} \\x=40$

where the value $x=40$ is not possible because substituting the value $x=40$ in $x-49$ results in negative solution. Which is not possible.

Hence, the value of x is 60.

Thus, The height of the tree is 60 meters.

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3 years ago

11x+2 divided by 5 in distributive property

jeka57 [31]

Answer:

$\frac{11}{5}x+\frac{2}{5}$

Step-by-step explanation:

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3 years ago

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