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2 years ago

1. Determine if the lengths 9 cm, 13 cm, and 23 cm can form a triangle.

Mathematics

1 answer:

laila [671]2 years ago

6 0

A tell me out of 9 13 23
What is the smallest number or the number closest to 0

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Solve the right triangle ABC with right angle C if B = 30° and c = 10.

mart [117]

Step-by-step explanation:

Answer:

Last choice is correct.

Step-by-step explanation:

Given that ∠C=90°, ∠B=30°, c=10

We know that sum of all angles in a triangle is 180 degree.

∠A+∠B+∠C=180°

∠A+∠30°+∠90°=180°

∠A+∠120°=180°

∠A=60°

Now we can use sin or cos whichever applicable to find missing sides

2b=10

b=5

Similarly

a=8.6602

Hence last choice is correct.

6 0

3 years ago

Ms. Crest surveyed her class and found that 15 out of

Drupady [299]

15/30 brushed their teeth more than twice a day.
Fraction 1/2 <- (Simply by dividing by HCF)

Percentage= 50% (15 divided by 30 multiplied by 100) or you realise the 15 is half of 30. A half is 50%

Decimal= 0.5 (50% divided by 100)

5 0

2 years ago

Help evaluating the indefinite integral

Dafna11 [192]

Answer:

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

General Formulas and Concepts:
Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle (cu)' = cu'$

Derivative Property [Addition/Subtraction]:
$\displaystyle (u + v)' = u' + v'$
Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals

Integration Rule [Reverse Power Rule]:
$\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]:
$\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Methods: U-Substitution and U-Solve

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx$

Step 2: Integrate Pt. 1

Identify variables for u-substitution/u-solve.

Set u:
$\displaystyle u = 4 - x^2$
[u] Differentiate [Derivative Rules and Properties]:
$\displaystyle du = -2x \ dx$
[du] Rewrite [U-Solve]:
$\displaystyle dx = \frac{-1}{2x} \ du$

Step 3: Integrate Pt. 2

[Integral] Apply U-Solve:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-x}{2x\sqrt{u}}} \, du$
[Integrand] Simplify:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-1}{2\sqrt{u}}} \, du$
[Integral] Rewrite [Integration Property - Multiplied Constant]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \frac{-1}{2} \int {\frac{1}{\sqrt{u}}} \, du$
[Integral] Apply Integration Rule [Reverse Power Rule]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = -\sqrt{u} + C$
[u] Back-substitute:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

∴ we have used u-solve (u-substitution) to find the indefinite integral.

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Learn more about integration: brainly.com/question/27746495

Learn more about Calculus: brainly.com/question/27746485

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

5 0

2 years ago

Plz help with 6,7,8 and 9

Reil [10]

Grayson's mistake was that he multiplied 4 and 3 and then used the exponent he had to square 3 and then multiply it by 4.

Emily's mistake was that she added 2 to 36 instead of multiplying it by -2

Pat's mistake was that he forget to make y into -2 instead of 2

The right way to do this is 4(3^2)+2(-2)
(3^2)=9 9×4=36 2(-2)=-4 -4+9=5

3 0

3 years ago

Find the total cost of buying a product that cost $12 if it is 25% off. DO NOT PUT A $. Only numbers.

Nadusha1986 [10]

Answer:

the answer will be 9 dollars

5 0

2 years ago

Read 2 more answers