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4 years ago

1)Given: AB = 4 AD = 6

Mathematics

1 answer:

Vaselesa [24]4 years ago

5 0

1)Given: AB = 4 AD = 6
What is the name of the radius of the larger circle?
the answer part 1) is
the radius of the larger circle is AD

2)Given: AB = 4 AD = 6
What point is in the interior of both circles?
the answer Part 2) is
The point A (the center of the circles)

3) Given: AB = 4 AD = 6
Which points are in the exterior of both circles?
the answer Part 3) is
E and G

4)The circles are _____.
the answer Part 4) is
concentric

5)If AC = 20 and BD = 8, what is the radius of the smaller circle?
we know that
radius smaller circle=AB
and
AB=AC-BD--------> AC=20-12-------> AC=8 units

the answer part 5) is
the radius of the smaller circle is 12 units

6)Given: AB = 4 AD= 6
What is the length of BD?
we know that
AD=AB+BD
solve for BD
BD=AD-AB--------> BD=6-4-----> BD=2 units

the answer Part 6) is
the length of BD is 2

7)Given: AB = 4 AD = 6
What is the name of the radius of the smaller circle?

the answer Part 7) is
the name of the radius of the smaller circle is AB

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given triangle DEF find side d and angle E. Round to tenths! angle D is 65 degrees. side DF is 6 and side DE is 9.

Damm [24]

Answer:

d is 8.4 units

m∠E is 40.3°

Step-by-step explanation:

Let us use the cosine rule to find the side d and then use the sine rule to find the measure of angle E

Cosine rule is d² = e² + f² - 2(e)(f)(cos D)
Sine rule is $\frac{sinD}{d}=\frac{sinE}{e}=\frac{sinF}{f}$

In Δ DEF

∵ EF is represented by d

∵ DF = 6 units and is represented by e

∴ e = 6

∵ DE = 9 units and is represented by f

∴ f = 9

∵ m∠D = 65°

- Substitute the values of e, f and m∠D in the cosine rule above

∴ d² = (6)² + (9)² - 2(6)(9)(cos 65°)

∴ d² = 71.35722773

- Take √ for both sides

∴ d = 8.447320743

- Round it to the nearest tenth

∴ d = 8.4 units

Now let us use the sine rule to find m∠E

∵ $\frac{sin(65)}{8.4}=\frac{sin(E)}{6}$

- By using cross multiplication

∴ 8.4 × sin(E) = 6 × sin(65)

∴ 8.4 sin(E) = 6 sin(65)

- Divide both sides by 8.4

∴ sin(E) = 0.647362705

- Use $sin^{-1}$ to find m∠E

∴ E = $sin^{-1}$ (0.647362705)

∴ m∠E = 40.34305

- Round it to the nearest tenth

∴ m∠E = 40.3°

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3 years ago

(x+1)^2 . (x^2+1) = 0

Maurinko [17]

Answer:

$x^4+2x^3+2x^2+2x+1$

Step-by-step explanation:

Given that,

$(x+1)^2 . (x^2+1) = 0$

We know that, $(a+b)^2=a^2+b^2+2ab$

So,

$(x+1)^2=x^2+1+2x$

So,

$(x+1)^2 . (x^2+1) = (x^2+1+2x)(x^2+1)\\\\=x^2\times x^2+x^2+2x^3+x^2+1+2x\\\\=x^4+2x^3+2x^2+2x+1$

So, the value of the given expression is equal to $x^4+2x^3+2x^2+2x+1$

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3 years ago

Write 18.766 correct to (a) 2 significant fugures

GaryK [48]

Answer:

Step-by-step explanation:

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3 years ago

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Is 67.714813 rational or irrational?

Komok [63]

Hi,
Answer is:
Irrational. Why?

Rational numbers are like 2:3 (Example) that is a Decimal.

Hope this helps!! Can you please mark Brainliest? Good Luck on your School assignment, and God Bless!

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3 years ago

What are the four major categories of securities? How are they evaluated?

Xelga [282]

Answer:

Cash, Bonds, Stocks and Mutual funds

Step-by-step explanation:

The four major categories of securities are:

Cash
Bonds
Stocks
Mutual funds

These 4 major categories are evaluated as given below:

Cash: Cash is your normal money. You can use it to buy your everyday goods and services or invest in cash in various asset classes.

Bonds: Bond is debt instrument and bonds are the agreement of debt. and bonds carry coupon rate that is (interest equivalent), tenure and final capital repayment

Stocks: Ownership of stock in a company. A group (or a single) share of any company is called stock. Stock means you have some stake in the company.

Mutual Funds: A mutual fund is an asset basket that can hold cash, bonds, stocks, real estate, and so on. The type and structure of mutual funds will vary depending on the client's choice of the fund manager and the category of the category

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3 years ago