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riadik2000 [5.3K]
3 years ago
5

Working backwards. answer all questions numbers 14-16​

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

14. height = volume/ ( length x width)

Height = 224/ ( 2x8)

Height = 224/16

Height = 14 inches.

15. height = volume/ area of the top(circle)

Area of top = pix r^2 = 3.14 x 4 = 12.56 square inches.

Height = 62.8/12.56 = 5 inches

16. Volume/ height = area of top(circle)

169.56/ 6 = 28.26 square inches

Area = pi x r^2

28.26 = 3.14 x r^2

Divide both sides by 3.14

R^2 = 28.26/3.14 = 9

Take the square root of both sides

R = sqrt(9)

R = 3

Radius = 3 inches

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Which of the following trigonometric ratios are correct?
den301095 [7]

Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.

  • sinA = opposite/hypotenuse
  • cosA = adjacent/hypotenuse
  • tanA = opposite/adjacent

Now that we know three basic ratio. Let's check each choices!

  • sin50° = d/c

This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.

  • sin50° = c/x

This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.

  • tan50° = d/c

This choice is correct! As ratio states, tanA = opposite/adjacent.

  • tan50° = x/c

This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

  • cos50° = x/d

This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.

  • cos50° = c/x

This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.

Answer

  • tan50° = d/c
  • cos50° = c/x

Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)

8 0
3 years ago
Помогите решить, пожалуйста, с 1-8. Дам 50 баллов.​
kifflom [539]

Answer:

Step-by-step explanation:

Download pdf
5 0
2 years ago
What is the value of x in this equation? 4(x + 6) – 3x = 26
alexdok [17]

Answer:

x = 2

4 (x + 6) - 3x = 26

solve the parenthesis

4x + 24 - 3x = 26

subtract 24 from both sides to get x by itself

4x - 3x = 2

solve

x = 2

5 0
3 years ago
What is the vertex of the function?
egoroff_w [7]
<h2>Explanation:</h2><h2></h2>

Here you haven't provided any function, so I'll assume this one:

f(x)=3x^2-18x+33

This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:

V(x,y) \\ \\ \\ x=-\frac{b}{2a} \\ \\ y=f(-\frac{b}{2a}) \\ \\ \\ where: \\ \\ \\ f(x)=ax^2+bx+c \\ \\ \\ So: \\ \\ a=3 \\ \\ b=-18 \\ \\ c=33

Therefore:

x=-\frac{(-18)}{2(3)}=3 \\ \\ f(3)=3(3)^2-18(3)+33=27-54+33=6

Therefore, the vertex is:

\boxed{V(3,6)}

6 0
3 years ago
Write the product as a mixed number.<br> 5 x 1 1/6
cupoosta [38]

Answer:

9 1/6

Step-by-step explanation:

multiplication of fractions

your 5 = 5/1

hence it will be 5/1 x 11/6 = 55/6

55 divided by 6 will be equal to 9 with one remainder

so your answer will be 9 1/6

3 0
2 years ago
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