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3 years ago

Find the measure of the missing angle

Mathematics

1 answer:

insens350 [35]3 years ago

6 0

Answer:

118°

Step-by-step explanation:

Because angle α and the angle that is 62° are a linear pair, that means their added angle measures are equivalent to 180°.

<u>So, to find the missing angle, subtract the known angle from 180:</u>

180 - 62 = a

118 = a

a = 118°

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Can someone please help me I would appreciate it please!?!

Annette [7]

The answer is: " 471 cm² " .
_____________________________________________________
The formula for the surface area, "S.A.", of a "cylinder":

S.A. = 2 π r² + 2 π r h ;

in which:

"S.A." = "surface area" of the cylinder; for which we wish to solve;

π = 3.14 (approximation we shall use) ;

r = radius = 5 cm (given; from figure);

h = height = 2 cm (given; from figure);
______________________________________
To solve for the surface area, "S.A." . let us plug in our known values, and solve:

S.A. = 2 π r² + 2 π r h ;

S.A. = 2 * (3.14) * (5 cm)² + 2 * (3.14) * (5 cm) * 10 cm) ;

= 2 * (3.14) * (5²) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;

= 2 * (3.14) * (25) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;

= 157 cm² + 314 cm² ;

= 471 cm² .
________________________________________________
The answer is: " 471 cm² " .
________________________________________________

4 0

4 years ago

Determine whether the following equation defines y as a function of x.

Aleks04 [339]

Answer:

The equation can define y as a function of x and it also can define x as a function of y.

Step-by-step explanation:

A relation is a function if and only if each value in the domain is mapped into only one value in the range.

So, if we have:

f(x₀) = A

and, for the same input x₀:

f(x₀) = B

Then this is not a function, because it is mapping the element x₀ into two different outputs.

Now we want to see it:

x + y = 27

defines y as a function of x.

if we isolate y, we get:

y = f(x) = 27 - x

Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.

Now we also want to check if:

x + y = 27

defines x as a function of y.

So now we need to isolate x to get:

x = f(y) = 27 - y

Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.

3 0

3 years ago

Combine terms: 12a + 26b -4b – 16a.

Crazy boy [7]

Answer: Great you got your answer correct

Step-by-step explanation:

6 0

4 years ago

PLEASE ANSWER + BRAINLIEST!!

marshall27 [118]

X^4 + 2x^2 - 24
= (x^2 + 6)(x^2 - 4)
= (x^2 + 6)(x - 2)(x + 2)

x^4 - 9x^2 + 18
= (x^2 - 6)(x^2 - 3)

7 0

3 years ago

The force, F newtons, exerted by a magnet on a metal object is inversely "proportional to the square of the distance d cm."When

NeTakaya

A. The expression of F in terms of d is F = 200 / d²

B. The force when the distance is 10 cm is 2 N

C. The distance when the force is 8 N is 5 cm

D. When the distance, d is halved, the force F becomes four times the initial force

<h3>A. How to determine the expression </h3>

From the question given above,

F ∝ 1 / d²

F = K / d²

Cross multiply

K = Fd²

But

F = 50 N

d = 2 cm

Thus

K = Fd²

K = 50 × 2²

K = 200 Ncm²

Therefore, the expression is given as

F = K / d²

F = 200 / d²

<h3>B. How to determine F when d = 10</h3>

d = 10 cm
K = 200 Ncm²
F =?

F = K / d²

F = 200 / 10²

F = 2 N

<h3>C. How to determine d when F = 8 N</h3>

K = 200 Ncm²
F = 8 N
d = ?

F = K / d²

8 = 200 / d²

Cross multiply

8 × d² = 200

Divide both sides by 8

d² = 200 /8

d² = 25

Take the square root of both sides

d = √25

d = 5 cm

<h3>D. How to determine F when d is halved</h3>

Initial Force (F₁) = F
Initial distance (d₁) = d
Final distance (d₂) = 1/2 d = 0.5d
Final final (F₂) =?

K = Fd² = constant

Thus

F₁d₁² = F₂d₂²

F × d² = F₂ × (0.5d)²

F × d² = F₂ × 0.25d²

Divide both sides by 0.25d²

F₂ = (F × d² ) / 0.25d²

F₂ = F / 0.25

F₂ = 4F

Thus, when the distance is halved, the force will increase by a factor of 4

Learn more about variation:

brainly.com/question/14254277

#SPJ1

6 0

2 years ago