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3 years ago

I need help this is late

Mathematics

1 answer:

barxatty [35]3 years ago

7 0

Answer:

Step-by-step explanation:

Since its a right triangle you would use the Pythagorean Theorem. 60 sqaured is 3600, and 45 squared is 2025. Add those together to get 5625. The sqaure root of 5625 is 75

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The ratio of the measure of the acute angle in a right triangle is 1/2 . Find the measures of the two angles

AleksandrR [38]

30° and 60°.

<h3>Further explanation</h3>

We will solve the problem of the measures of angles in the triangle.

Recall this condition:

The acute angle ⇒ an angle of less than 90°.
The right angle ⇒ an angle of exactly 90°.
A right triangle ⇒ a triangle in which one angle is a right angle.
The interior angles ⇒ the angles inside a triangle.
All the interior angles in a triangle , i.e., $\boxed{ \ \angle A + \angle B + \angle C = 180^0 \ }$

<u>Given that:</u>

The ratio of the measure of the acute angle in a right triangle is ¹/₂.

<u>Question:</u>

Find the measures of the two angles.

<u>The Process:</u>

We call it the triangle ABC. An interior angle inside is a right angle, e.g., ∠A = 90°.

From the ratio of two other acute angles, i.e., 1: 2, we call it ∠B = x and ∠C = 2x.

Let's arrange the three angles in ABC triangle as follows:

$\boxed{ \ 90^0 + x + 2x = 180^0 \ }$

Both sides subtracted by 90°.

$\boxed{ \ x + 2x = 180^0 - 90^0 \ }$

$\boxed{ \ 3x = 90^0 \ }$

Both sides divided by 3.

We get $\boxed{ \ x = 30^0 \ }$

We substitute the value of x back into B and C.

$\boxed{\boxed{ \ \angle B = x\ } \rightarrow \boxed{ \ \angle B = 30^0 \ }} \\\boxed{\boxed{ \ \angle C = 2x\ } \rightarrow \boxed{ \ \angle C = 60^0 \ }}$

We have succeeded in getting the measures of the two angles.

<h3>Learn more</h3>

Undefined terms needed to define angles brainly.com/question/3717797
What is 270° converted to radians brainly.com/question/3161884
A triangle is rotated 90° about the origin brainly.com/question/2992432

Keywords: the ratio, the measure, the acute angle, a right triangle, 1/2, 180°, 90°, 30°, 60°, the interior angles

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3 years ago

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Can you help me please i do. not get this

xenn [34]

Answer:

5 13/24

Step-by-step explanation:

(10 5/12) - (4 7/8) = (10 +5/12) -(4 +7/8)

... = (10 -4) +(5/12 -7/8)

... = 6 + (5/12 -7/8) . . . . . read on for how to simplify this

_____

<em>Adding fractions</em>

Adding fractions can be done in a mechanical sort of way using the formula ...

... a/b + c/d = (ad +bc)/(bd)

Here, we have a=5, b=12, c=-7, d=8, so the sum is ...

... (5·8 +12(-7))/(12·8) = (40 -84)/96 = -44/96

The numerator and denoinator of this fraction are both multiples of 4, so we can reduce the fraction.

... -44/96 = 4(-11)/(4·24) = -11/24

_____

<em>Back to the problem at hand</em>

... 6 + (5/12 -7/8) = 6 - 11/24

Now, we know that 1 = 24/24, so when we subtract 11/24 from 1, we get ...

... 1 - 11/24 = 24/24 - 11/24 = (24 -11)/24 = 13/24

So, our expression 6 - 11/24 can be rewritten as ...

... 6 -11/24 = (5 + 1) - 11/24 = 5 + (1 -11/24) = 5 13/24

Summary

... (10 5/12) - (4 7/8) = 5 13/24

_____

<em>Another way to add fractions</em>

The way to add fractions that is commonly taught is to first find a common denominator. Here that means you want to find the smallest number that is a multiple of both 12 and 8, the two denominators. You may recognize that number as being 24 = 12·2 = 3·8. (The methods of finding the common denominator (least common multiple) for numbers not in your memorized multiplication tables are not easy to describe.)

The next step in this method is to rewrite the fractions so they each have this denominator. The multipliers in the above equation are helpful for that purpose.

... 5/12 = (5·2)/(12·2) = 10/24

... 7/8 = (7·3)/(8·3) = 21/24

Now, the subtraction can proceed easilly:

... 10/24 - 21/24 = (10 -21)/24 = -11/24 . . . . . same result as above

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