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3 years ago

What are the values of r and a1

Mathematics

2 answers:

Aloiza [94]3 years ago

6 0

Answer:

a1 = .45 and r = 8

Step-by-step explanation:

This is of the form

sum a1 r^ k-1

a1 = .45 and r = 8

Aleonysh [2.5K]3 years ago

4 0

The first one I think

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11. Keng creates a painting on a rectangular canvas with a width that is four inches longer

GrogVix [38]

Part A

<h3>Answer: h^2 + 4h</h3>

-------------------

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

===========================================================

Part B

<h3>Answer: h^2 + 16h + 60</h3>

-------------------

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

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3 years ago

The highest temperature recorded in Greensburg was 35C. Write the opposite temperature.

hichkok12 [17]

Answer: the opposite answer is 35F

Step-by-step explanation: the C goes to a F

8 0

3 years ago

#5. What's the difference between a terminating decimal and non-terminating decimal?

frez [133]

Answer:

A terminating decimal ends while a non-terminating decimals repeats itself.

Step-by-step explanation:

2.50-terminating decimal

2.3333...-non-terminating decimal

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3 years ago

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How can you find f(2) if f(x) = -3x2 – 7?

nordsb [41]

Answer: Isolate the variable by dividing each side by factors that don't contain the variable. x=−1/2^2

Step-by-step explanation:

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3 years ago

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Find the volume of a cone with a height of 3.25 centimeters and a diameter of 2.2 centimeters.

saveliy_v [14]

Answer:

As per Provided Information

Height of cone h is 3.25 cm

Diameter of cone is 2.2 cm

Radius = Diameter/2

Radius = 2.2/2

Radius = 1.1 cm

We have been asked to determine the volume of the cone .

Using Formulae 

$\boxed{\bf \:Volume_{(Cone)} = \cfrac{1}{3} \pi {r}^{2}h}$

Substituting the given value and let's solve it

$\sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times {1.1}^{2} \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 1.21 \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 3.9325 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 12.34805 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{12.34805}{3} \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = 4.11 {cm}^{3}$

Therefore,

Volume of the cone is 4.11 cm³ .

3 0

2 years ago