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3 years ago

PLEASE HELP ∆ARE ≌ ∆_ by _

Mathematics

1 answer:

laila [671]3 years ago

5 0

Answer:

AE ≅ AC
RE ≅ RC
AR ≅ AR

<u>The conclusion is:</u>

ΔARE ≅ ARC by Side-side-side (SSS) postulate

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The radii of two circles are in the ratio of 3 to 1. Find the area of the smaller circle if the area of the larger circle is 27

Naddik [55]

ANSWER
$3\pi sq.\: in.$

EXPLANATION

Let R be the radius of the bigger circle and r, be the radius of the smaller circle.

Then their ratio is given as,

$R:r=3:1$

We can rewrite it as fractions to get,

$\frac{R}{r} = \frac{3}{1}$

We make R the subject to get,

$R = 3r$

The area of the bigger circle can be found using the formula,

$Area=\pi {r}^{2}$

This implies that,

$Area=\pi ({3r})^{2}$

$Area=9\pi {r}^{2}$

But it was given in the question that, the area of the bigger circle is 27π.

$27\pi=9\pi {r}^{2}$

We divide through by 9π to get,

$3 = {r}^{2}$

This means that,
$r = \sqrt{3}$

The area of the smaller circle is therefore

$= \pi {( \sqrt{3}) }^{2}$

$= 3\pi$

8 0

4 years ago

Read 2 more answers

PLEASE HELP:

Semmy [17]

Answer:

A' = { 2,4,6,8,10,12,14,16,17,18,19}

A' U B = {2,4,6,8,10,12,14,16,17,18,19,7,11,13}

Step-by-step explanation:

A = {1,3,5,7,9,11,13,15}

B = {7,11,13,17,19}

3 0

3 years ago

If a line has a slope of 4 and contains the point (-2,5), what is its equation in point-slope form

muminat

Answer:

y=4x+5

Step-by-step explanation:

From the formula y=mx+c,

m=gradient

c=point on the y-axis

Therefore, y=4x+5

4 0

3 years ago

Please answer fast I need help:During Halloween, 8 out of 25 students in the class wore a costume. What was the probability that

masya89 [10]

Answer:

The probability that an individual student did not wear a costume is 14/25.

3 0

4 years ago

Read 2 more answers

How do you simplify this?????

kap26 [50]

You have to break up 384 into numbers that can be taken out to the radical.

You can break up 384 into 2^3*2^3*6.

Since two 2’s can be taken you would have 4 on the outside and a 6 and x^4 left on the inside.

x^3 can be taken out, leaving an x inside the radical.

The final answer would be 4x on the outside and 6x left under the cubed radical

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4 years ago