Mathematics High School

Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the next degree, the smallest angle of the triangle. (A)35° (B)36° (C)37° (D)38° (E)53°​

Answers

Answer 1

[tex]\boxed{Given:}[/tex]

Length of the perpendicular ( opposite ) = 6 cm.

Length of the base ( adjacent ) = 8 cm.

[tex]\boxed{To\:find:}[/tex]

The smallest angle of the triangle.

[tex]\boxed{Solution:}[/tex]

[tex]\sf\purple{C.\:37°}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.

Since the value of opposite and adjacent sides are given, we use the tangent formula.

tan θ = [tex]\frac{opposite}{adjacent}[/tex]

✒ tan θ = [tex]\frac{6 \: cm}{8 \: cm}[/tex]

✒ θ = [tex]{tan}^{ - 1}[/tex] (0.75)

✒ θ = 36.9°

✒ θ = 37°

Now let us find the other unknown angle 'x'.

We know that,

Sum of angles of a triangle = 180°

✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)

✒ x + 127° = 180°

✒ x = 180° - 127°

✒ x = 53°

Therefore, the three angles of the triangle are 37°, 53° and 90°.

Hence, the smallest angle is 37°.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Two Sides Of A Triangle Are Perpendicular. If The Two Sides Are 8cm And 6cm, Calculate Correct To The

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Circle D is inscribed in AABC as shown.
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Answer:

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A television was originally priced at $522, but Sam waited to buy it until the television was on sale for 50% off. If
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Answer:

$281.88

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

To find the slope given two points

m = ( y2-y1)/(x2-x1)

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Answer:

-2.75 (-2 3/4)

Step-by-step explanation:

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Answers

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Step-by-step explanation:

probability of not getting six=5/6

is your answer

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Answer:

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Step-by-step explanation:

The format for a quadratic function is: y= ax^2+bx+c.

This matches your equation.

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Answer:

12.3693169

Step-by-step explanation:

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Answer:

5^8

Step-by-step explanation:

Hey,

Know out exponent division propety knowledge.  We can solve.

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Answer:

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Given an integer, how do you find its opposite? Complete the explanation.


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Answer: same distance but different side

Step-by-step explanation:

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Answer:

A) 1x 9^6

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Answer:

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Customers can pick their own cherries at cherry hill. they pay $4 to enter the farm and $3.50 per pound for the cherries they pick. write an equation to model the total cost, y, for x pounds of cherries

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Step-by-step explanation:

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i did this in 6th grade too man i gotchu

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Answer:

1/6

Step-by-step explanation:

6^-2  / 6^-1

We know that a^b / a^c = a^(b-c)

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1/6

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When dividing by exponents, you need to subtract the exponent from top to bottom. Ex: 5^3/5^2=5^1 which is just one, because you subtract 3 and two. In this case, 6^-2 / 6^-1 gets us 6^-1 which is the same thing as 1/6^1. Because remember, a^-x = 1/a^x.

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Answers

Answer:

x = 50

Step-by-step explanation:

0.2x = 10

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0.2x/.2 = 10/.2

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Answer:

Step-by-step explanation:

x=50

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Answer:

i can see the actual question, what is it?

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It’s Negative below the lines the touching points do not meet

The leading coefficient of the quadratic function a is negative

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From the graph, we have the following points:

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A quadratic equation is represented as:

y = a(x - h)^2 + k

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Step-by-step explanation:

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