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3 years ago

An art teacher has 16 pieces of blue chalk, 14 pieces of red chalk, and 10 pieces of yellow chalk. She

Mathematics

1 answer:

Archy [21]3 years ago

3 0

Answer:

there is a 40% or a 16/40 chance the the student will receive blue chalk

Step-by-step explanation:

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A right triangle includes one angle that mesures 30 degrees. What is the measure of the third angle?

Airida [17]

The third angle is 60 degrees. A triangle has 180 degrees so 180-30-90=60

5 0

3 years ago

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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

3 years ago

What is 0.0008235 in scientific notation

larisa [96]

I think this is the Answer

8.235*10^-4

7 0

3 years ago

Find the perimeter of the image bellow: A:32.1 units B: 35.8 units C: 37.6 units D: 39.2 units

masha68 [24]

A is the closest I got. My answer was 32.665 using thousandth place. I found the perimeter by adding up the lengths. I found all of the lengths by using pathat oran theorem.

7 0

3 years ago

Solve the smetaneous equatan graphically x-2y=1 2x-y=2 given the range of x from-3 to 3 choose a suitable scale

DedPeter [7]

Answer:

(2, 0)

Step-by-step explanation:

Given system:

x - 2y = 1
2x - y = 2

In order to solve it graphically, graph both lines and find the point of their intersection.

Graphing easy if you plot the x- and y- intercepts and connect them with a line.

See attached.

Both lines have same x-intercept, which is also the solution: (2, 0)

8 0

2 years ago

Read 2 more answers