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Sindrei [870]
3 years ago
12

Find the value of b if the following figures are similar.​

Mathematics
2 answers:
Brrunno [24]3 years ago
8 0
B = 15 - (20 - 12)
b = 15 - 8
b = 7
chubhunter [2.5K]3 years ago
3 0

Answer:

7

Step-by-step explanation:

20 - 12 = 8

15 - b = 8

-b = 8 - 15

b = 7 ( -ve signs will become +ve)

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A children's slide has a length of 5.8m. The vertical ladder is 2.6m above the groubd. Find the angle the slide makes with the g
Elodia [21]

<u>Answer</u>


26.6°


<u>Explanation</u>

You are required to use the trigonometric ratio, sine, to find that angle.

SinФ = opposite/hypotenuse


sin Θ = 2.6/5.8

= 0.4483


The angle Θ = Anti-sine(0.4483)

= 26.633°


The angle the slide makes with the ground, correct to one decimal place is 26.6°

8 0
3 years ago
Read 2 more answers
Describe the transformation from the graph of f(x)=x+8 to the graph of g(x)=x-3
andreev551 [17]

Answer:

A.)

Step-by-step explanation:

Translations are as follows: Up is + on Y axis, down is - on Y axis. Right is + on X axis and left is - on X axis.

The function f(x) = x+8 is translated to (0,8) since their is no number in a bracket with x (example: f(x)= (x-2)+5 would be (2,5) since the X axis is taken as the opposite sign).

g(x) = x-3 translates to (0,-3) which is 11 units down from f(x)

7 0
3 years ago
What is the axis of symmetry for f(x) = -3x2 + 18 - 7
solong [7]

The vertex form:

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

The axis of symetry is x = h.

y=ax^2+bx+c\to h=\dfrac{-b}{2a}

We have

f(x)=-3x^2+18x-7\to a=-3,\ b=18,\ c=-7

Substitute:

h=\dfrac{-18}{(2)(-3)}=\dfrac{-18}{-6}=3

<h3>Answer: x = 3</h3>
6 0
3 years ago
Solve for x: 3(x + 1) = −2(x − 1) − 4<br><br> 1<br><br> −1<br><br> −5<br><br> −25
LekaFEV [45]

Answer:

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Step-by-step explanation:

3(x + 1) = - 2(x - 1) - 4 ←  distribute parenthesis on both sides

3x + 3 = - 2x + 2 - 4

3x + 3 = - 2x - 2 ( add 2x to both sides )

5x + 3 = - 2 ( subtract 3 from both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

7 0
1 year ago
Simplify (x2 16)(x2-16)? <br><br> A. x4- 256<br><br> B. x256 <br><br> C. x432 <br><br> D. x4-32
tiny-mole [99]
(x² + 16)(x² - 16)
= (x²)² - 16²
= x⁴ - 256
7 0
2 years ago
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