(a) A square has a perimeter of 32 ft. What is the length of each side?

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 48 and the common rati

Aleks [24]

Answer:

The sigma notation would look like this:

∞

Σ 48(1/4)^i-1

i = 1

Step-by-step explanation:

I can't seem to find a good way to make it more connected so I'll just have to tell you. The ∞ is above the ∑, while the i = 1 is under it. That is all one thing. The rest is followed as normal, and it is all next to the ∑

7 0

3 years ago

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Find the simplified product b-5/2b x b^2+3b/b-5

White raven [17]

Answer:

The product $\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}$

Step-by-step explanation:

Given expression $\frac{b-5}{2b}$ and $\frac{b^2+3b}{b-5}$

We have to find the product of $\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}$

Consider the given expression $\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}$

Multiply fractions, we have,

$\frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}$

$=\frac{\left(b-5\right)\left(b^2+3b\right)}{2b\left(b-5\right)}$

Cancel common factor ( b - 5 )

we have, $=\frac{b^2+3b}{2b}$

Apply exponent rule,

$\:a^{b+c}=a^ba^c$

$b^2=bb$

$=bb+3b=b(b+3)$

$=\frac{b\left(b+3\right)}{2b}$

Cancel common factor b , we have,

$=\frac{b+3}{2}$

Thus, the product $\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}$

8 0

3 years ago

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Hello, could someone please help me find three pairs for this question

amid [387]

Answer:

x - y = -3 x + y = 9

x y x y

-2 , 1 -2 , 11

-1 , 2 -1 , 10

0 , 3 0 , 9

1 , 4 1 , 8

2 , 5 2 , 7

Hope this helps.

7 0

1 year ago

What is the volume of the prism?

jeka94

Answer:

The answer is 24 be

Step-by-step explanation:

cause if we multiply 4 by 3, (which is the square), by the 2 next to it gives 24

8 0

2 years ago

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Point A is the point of concurrency of the angle bisectors of ΔDEF.

amm1812

The correct answer is option A which is ZA = 3 cm

<h3>What is the triangle?</h3>

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The triangle is shown below.

From the triangle, A is the concurrency point of angle bisectors of all vertices.

Consider ΔAYD,

Using the Pythagorean theorem,

AD² = AY² + YD²

5² = AY² + 4²

25 = AY² + 16

AY² = 25 - 16

AY² = 9

AY = √9 = 3 cm

Consider triangles ADY and ADZ.

∠AYD ≅∠AZD=90

∠ADY≅∠ADZ ( Angle bisector)

AD ≡ AD (common side)

The two triangles are congruent by the AAS postulate.

Therefore, by CPCTE, AY=ZA=3 cm

To know more about triangles follow

brainly.com/question/17335144

#SPJ1

4 0

1 year ago