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CaHeK987 [17]
2 years ago
11

What is the perimeter of the shape below, given a = 5.66, b = 13.75, c = 6.76, d = 4.59

Mathematics
2 answers:
Marina86 [1]2 years ago
7 0

Answer:

61.52

Step-by-step explanation:

5.66+ 13.75 + 6.76 + 4.59 + 5.66+ 6.76 + 13.75 +4.59

grigory [225]2 years ago
4 0

Answer:

61.52

Step-by-step explanation:

Given the values, you can solve for the remaining sides.

a + c will equal the side on the right and b + d will equal the side at the top.

So 2(a+c) + 2(b+d) will give the perimeter.

2(5.66+6.76) + 2(13.75+4.59) = 24.84 + 36.68 = 61.52

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Write expression as a sine or cosine of an angle.<br>cos 94° cos 18° + sin 94° sin 18° ​
MArishka [77]
<h3>Answer:  cos(76)</h3>

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

  • cos(94)cos(18) + sin(94)sin(18) = 0.24192
  • cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

6 0
2 years ago
Which of the following reveals the minimum value for the equation 2x^2 − 4x − 2 = 0?
12345 [234]

Answer:

2(x-1)^{2}=4

Step-by-step explanation:

<u><em>The options of the question are</em></u>

2(x − 1)2 = 4

2(x − 1)2 = −4

2(x − 2)2 = 4

2(x − 2)2 = −4

we have

2x^{2} -4x-2=0

This is a vertical parabola open upward

The vertex represent the minimum value

The quadratic equation in vertex form is

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

where

a is a coefficient

(h,k) is the vertex

so

Convert the quadratic equation in vertex form

Factor 2 leading coefficient

2(x^{2} -2x)-2=0

Complete the squares

2(x^{2} -2x+1)-2-2=0

2(x^{2} -2x+1)-4=0

Rewrite as perfect squares

2(x-1)^{2}-4=0

The vertex is the point (1,-4)

Move the constant to the right side

2(x-1)^{2}=4

3 0
3 years ago
· At Jefferson High School, 30% of students drive to school, 60% of students ride the bus to
Marrrta [24]

Answer:

Difference = 250 students

Step-by-step explanation:

Let the total number of students be x.

Given the following data;

% driving = 30%

% riding = 60%

% walking = 10%

Number of students driving = 375

First of all, we would determine the total number of students.

Total = 30/100 * x = 375

0.3x = 375

Total, x = 375/0.3

Total, x = 1250 students.

Next, we determine the number of students walking;

Walking = 10/100 * 1250

Walking = 12500/100

Walking = 125 students

Finally, we would determine many more students drive to school than walk to school;

Difference = 375 - 125

Difference = 250 students

3 0
3 years ago
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