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Ivenika [448]
2 years ago
10

Find the value of S for an infinite geometric series with r= 1/6 and a1=10

Mathematics
1 answer:
Lelu [443]2 years ago
5 0
S=a1/1-r=10 x 6/5 = 12
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The light from a lamp casts a shadow of a man standing 10 feet away from the lamppost. The shadow is 7 feet long. The angle of e
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The lamppost is 20 feet long.

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3 years ago
Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle
dem82 [27]

Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0

Similarly, In Triangle BOL

Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0

Equating the Value of h

xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft

Since we have found the value of x, we can now determine the height, h of the tree.

h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet

The height of the tree is 229.23 feet.

5 0
3 years ago
help ASAP thanks........
Fittoniya [83]

Answer: Yes, they are similar- and the Scale Factor is 2.5

Step-by-step explanation: To find the scale factor, simply divide the larger number on the bigger shape by its counterpart in the smaller image, so for example: 60 divided by 24 is 2.5, and there is your scale factor. You can further test this by multiplying 4 x 2.5 which gives us 10, the other value on the larger shape.

7 0
2 years ago
PLEASE HELP!!! A large cake from a bakery will serve 55 people. If there are 725 people expected at a reception, how many cakes
alukav5142 [94]

Answer:

725 divided by 55 gives amount of cakes needed

Step-by-step explanation:

8 0
3 years ago
Jose decided on purchasing a $145,000 home. At closing he brought a check
salantis [7]

Answer: 1

Step-by-step explanation:

Given the following:

Title fee = $545

Processing fee = $1975

Appraisal = $675

Total : $(545 + 1975 + 675) = $3195

Amount of check brought = $4645

Which is in excess of the total:

$(4645 - 3195) = $1450

Cost of home = $145,000

The percentage of the excess paid with respect to the cost of home will give the number of points Jose purchased. They are used to lower the monthly cost of a mortgage.

(Excess amount / cost of home) × 100%

(1450 / 145000) × 100

0.01 × 100% = 1%

The number of points 1 percentage point.

6 0
2 years ago
Read 2 more answers
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