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3 years ago

Which statement is true?

Mathematics

1 answer:

Leokris [45]3 years ago

6 0

ZCBE and ZDEB are same-side interior angles.

is the correct answer

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Which equation represents a circle with the same center as the circle shown but with a radius of 2 units

Leona [35]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is clear that the center of the given circle is (4,5).

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

where, (h,k) is center of the circle and r is radius.

We need to find the equation of a circle which represents the same center as the circle shown but with a radius of 2 units.

Substitute h=4, k=5 and r=2 in the above equation.

$(x-4)^2+(y-5)^2=(2)^2$

$(x-4)^2+(y-5)^2=4$

The required equation is $(x-4)^2+(y-5)^2=4$ .

Therefore, the correct option is B.

3 0

4 years ago

Read 2 more answers

Sin (3x) dx = ? find the integral

AVprozaik [17]

Answer:

$\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C$

General Formulas and Concepts:

Calculus

Antiderivatives - Integrals

Integration Constant C

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

Trig Integration: $\displaystyle \int{sin(x)} \, dx = -cos(x) + C$

U-Substitution

Step-by-step explanation:

Step 1: Define

$\displaystyle \int {sin(3x)} \, dx$

Step 2: Identify Substitution Variables

u = 3x

du = 3dx

Step 3: Integrate

[Integral] Rewrite: $\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx$
[Integral] U-Substitution: $\displaystyle \frac{1}{3}\int {sin(u)} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{3}[-cos(u)] + C$
[Expression] Multiply: $\displaystyle \frac{-cos(u)}{3} + C$
[Expression] Back-Substitute: $\displaystyle \frac{-cos(3x)}{3} + C$

8 0

3 years ago

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probabi

joja [24]

Answer:

Step-by-step explanation:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

6 0

3 years ago

The present age of Sita's father is three times of Sita's present age. After 6 years the sum their age will be 69. Find their pr

Papessa [141]

Age of Sita is 14.25 years and her father is 42.75 years

Step-by-step explanation:

Step 1: From given details, let present age of Sita be x and that of her father be 3x.
Step 2: Form equations based on their ages in 6 years. (Given sum is 69)

⇒ (x + 6) + (3x + 6) = 69

⇒ 4x + 12 = 69

⇒ 4x = 57

⇒ x = 14.25

Step 3: Calculate age of Sita's father

⇒ 3x = 42.75

6 0

3 years ago

Help. Please answer this problem and how you found the answer so I can do the rest.

olasank [31]

Answer:

No it dose not

Step-by-step explanation:

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8 0

3 years ago