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3 years ago

I need help with help on the one with the pink circle

Mathematics

1 answer:

podryga [215]3 years ago

4 0

Answer:

15°

Step-by-step explanation:

The line in the middle of the triangle divides it into two triangles. These two triangles are equal. You can see this because the given angle (90°) is equal for both sides, and the bottom sides (23) are also equal to each other.

Since the triangles are equal, this means that the given angle of 75° also applies to the other side. The total degrees a triangle can have is 180°. Use the given angles to solve for the unknown angle.

75° + 90° + x = 180°

165° + x = 180°

x = 15°

The angle measure will be 15°.

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Y and x have a proportional relationship, and y = 12 when x = 5. What is the value of y when x = 8?

serious [3.7K]

When x = 8 y = 15

The way to figure this out is to subtract 12 by 5. That’s 7 so there’s a difference of 7 between both of the numbers.

Hope this helped!

8 0

2 years ago

Given: AB = DC, AC = DB

oee [108]

Answer:

SSS Postulate

Step-by-step explanation:

AB=CD (Given)

AC=BD (Given)

BC=BC (Given)

So SSS Postulate

Side Side Side postulate

6 0

1 year ago

The function f(x) is represented by the table below. What are the corresponding values of g(x) for the transformation g(x) = 6f(

g100num [7]

Answer:

Given: The transformation g(x) =6f(x) ......[1]

To find the corresponding values of g(x) for the given transformation.

At x = -7, f(x) = 8

then,

By substituting the value of f(x) = 8 in [1] we have

$g(x) = 6 \cdot 8 =48$

Similarly,

For x= -3 , f(x) = 3, then

By substituting the value of f(x) = 3 in [1] we have

$g(x) = 6 \cdot 3 =18$

For x= 0, f(x) = -1 , then

By substituting the value of f(x) = -1 in [1] we have

$g(x) = 6 \cdot -1 =-6$

For x= 2, f(x) = 7, then

By substituting the value of f(x) = 7 in [1] we have

$g(x) = 6 \cdot 7=42$

For x= 10, f(x) = 5, then

By substituting the value of f(x) = 5 in [1] we have

$g(x) = 6 \cdot 5=30$

Therefore ; we have the corresponding values of g(x) as shown below;

x f(x) g(x)

-7 8 48

-3 3 18

0 -1 -6

2 7 42

10 5 30

5 0

3 years ago

Read 2 more answers

1 tablespoon is equivalent to _____ ml.

svet-max [94.6K]

Answer:

14.7868 ml are equal to 1 tablespoon

Step-by-step explanation:

1 tablespoon is equivalent to __14.7868___ ml.

Hope This Helped

4 0

1 year ago

Read 2 more answers

What is the length of the curve with parametric equations x = t - cos(t), y = 1 - sin(t) from t = 0 to t = π? (5 points)

zzz [600]

Answer:

B) 4√2

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Parametric Differentiation

Integration

Integrals
Definite Integrals
Integration Constant C

Arc Length Formula [Parametric]: $\displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.$

Interval [0, π]

Step 2: Find Arc Length

[Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]: $\displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.$
Substitute in variables [Arc Length Formula - Parametric]: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx$
[Integrand] Simplify: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx$
[Integral] Evaluate: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx = 4\sqrt{2}$

Topic: AP Calculus BC (Calculus I + II)

Unit: Parametric Integration

Book: College Calculus 10e

4 0

2 years ago