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Vinil7 [7]
3 years ago
14

Consider the given right triangle if angle a equals 45 degrees and a equals 12 then b equals

Mathematics
1 answer:
Law Incorporation [45]3 years ago
4 0

Answer:

b would also equal 12.

Step-by-step explanation:

In order to find this, we simply have to note that if we have a right triangle and a 45 degree angle, then this is a 90-45-45 triangle. In these triangles, we know that the legs are the same length. So if a is 12, then so is b.

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How do u work out what fraction is equal to 1/8
I am Lyosha [343]

If the number on the bottom of the fraction is 8 times the size
of the number on top, then the fraction is equal to  1/8 .

Examples:

100 / 800

20 / 160

8 / 64

7 0
3 years ago
Given a quadratic function in vertex form:
Alja [10]

Answer:

See below

Step-by-step explanation:

<u>Part A</u>

A vertical stretch takes place when a\cdot f(x) given that  |a| > 1

<u>Part B</u>

A vertical compression takes place when a\cdot f(x) given that 0 < |a| < 1

<u>Part C</u>

A vertical stretch is different than a horizontal compression:

  • In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
  • In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor

<u>Part D</u>

A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of a must be negative such that a\cdot f(x) as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.

7 0
2 years ago
Evaluate 12 divided by (-3)(2) + 5. a) -13 b) 3 c) -3
svlad2 [7]

Answer:

B

Step-by-step explanation:

12 divided by -6 is -2, plus 5 is 3

:D

3 0
2 years ago
Solve for x.<br>-3+85-5=-8<br>A. -2.<br>B.-1<br>C.-3/4<br>D.0​
posledela

Answer:

-2

Step-by-step explanation:

-3+8x-5=-8

8x = -16

x = -2

5 0
3 years ago
Read 2 more answers
The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of
ycow [4]

The length of the longer base is 41 ft.

<u><em>Explanation</em></u>

Lets assume, length of one base is x ft.

As, another base is 19 less than five times the length of this base, so the length of another base = (5x- 19) ft.

The trapezoid has a height of 18 ft and area of 477 ft²

Formula for Area of trapezoid, A=\frac{1}{2} (a+b)*h , where a, b = Two bases of trapezoid and h = height of the trapezoid.

Given in the question: A= 477 and h= 18

We have also two bases as: a= x and b= 5x-19

So, according to the above formula...

A= \frac{1}{2}(a+b)h\\\\ 477=\frac{1}{2}(x+5x-19)*18\\\\ 477=9(6x-19)\\\\477= 54x-171\\\\477+171=54x\\\\648=54x\\\\x=\frac{648}{54} = 12

So, length of one base is 12 ft  and another base =(5*12-19)ft =(60-19)ft = 41 ft

That means, the length of the longer base is 41 ft.



8 0
3 years ago
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