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1 year ago

Does 5, 7, and 9 make a right angle?

Mathematics

1 answer:

Oksanka [162]1 year ago

4 0

Step-by-step explanation:

For a triangle to have a right angle the square sums of the legs have to equal the square of the hypotenuse.

In this case 9 is the hypotenuse which is the longest side in a triangle. 5 and 7 are the two smaller sides which make them the legs.

Putting this set of numbers into the pythagorean theorem is the way to solve this.

5²+7² should equal 9² if the triangle is a right triangle.

Solve the squares: 25+49=81

This would add up to be 74 and that is not equal to 81, so by this statement we can conclude that 5, 7, and 9 do not make a right triangle.

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Write an example of the associative property of addition

vfiekz [6]

The word "associative" comes from "associate" or "group";the Associative Property is the rule that refers to grouping. For addition, the rule is "a + (b + c) = (a + b) + c"; in numbers, this means
2 + (3 + 4) = (2 + 3) + 4. For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means2(3×4) = (2×3)4. Any time they refer to the Associative Property, they want you to regroup things; any time a computation depends on things being regrouped, they want you to say that the computation uses the Associative Property.

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3 years ago

Read 2 more answers

How can you use a mixed number ti write 11 feet as an equivalent measure in yards

svetoff [14.1K]

Answer: 3 2/3 Yards

Step-by-step Solution:

In order to solve this problem, you'll want to set up a conversion equation.

** 1 Yard = 3 Feet **

To convert these measurements you'll need to write this conversion factor as a conversion ratio. Your ratio will be 1 yard / 3 feet. This fraction is actually equal to 1, meaning we can multiply it by any number to convert the units without changing its value.

You can then solve by using simple division. I will attach a photo of the steps I did by hand.

** Canceling the units will help avoid confusion **

After you reach the 6th step, all you have to do to find your mixed number is see how many times 3 fits into 11.

3 can go into 11 3 times, with a remainder of 2. Your final answer should be 3 2/3 yards.

I hope this helps! c:

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2 years ago

Find the correct values for the variables that make the statement cos(h)=x/y true.

Stels [109]

Answer:

The sum of the measures of the angles in a triangle is equal to 180 degree.

In triangle FGH;

$\angle F + \angle G + \angle H = 180^{\circ}$

$\angle H = 180^{\circ} -{\angle F + \angle G}$

Substitute the given values from the given figure we have;

$\angle H = 180^{\circ} -{33^{\circ} + 90^{\circ}}$

$\angle H = 180^{\circ} -{123^{\circ}}$

Simplify:

$\angle H = 57^{\circ}$

Given that:

$\cos H = \frac{x}{y}$

Using Cosine ratio:

$\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}$

In a given figure:

Base = GH = x and Hypotenuse = FH = y = 80 cm

Then;

$\cos 57^{\circ}= \frac{x}{80}$

$x = \cos 57^{\circ} \cdot 80$

$x = 0.54463903501 \cdot 80 \approx 43.57$ cm

Therefore, the value of :

$H = 57^{\circ}$

x = 43.57 cm

y = 80 cm

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3 years ago

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Charra [1.4K]

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2 years ago

(7g+3)(−g−3) polynomial in standard form

otez555 [7]

Step-by-step explanation:

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3 years ago