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astraxan [27]
4 years ago
12

How do I find the sum of this series?Question D

Mathematics
1 answer:
raketka [301]4 years ago
8 0
Sum of an infinite geometric sequence with the common ratio r, and the first term a1 is \frac{a_1}{1-r}

we notice
-2 times -1/4=1/2,
1/2 times -1/4=-1/8
so a1=-2
r=-1/4 or -0.25

so the sum is
\frac{-2}{1-(-0.25)}=
\frac{-2}{1+0.25}=
\frac{-2}{1.25}=
\frac{-8}{5}=
the sum is -8/5 or -1.6
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Express the height of the following rectangular prism in meters. (Note: 1 m = 100 cm)
3241004551 [841]

Answer:I did this one and its 0.75

Step-by-step explanation:

4 0
3 years ago
A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 27 subs today. How many of each kind did they sell?
eduard
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Find the area of an isosceles triangle with perimeter of 40 feet and a base of 12 feet. Round to the nearest whole number.
Aleksandr [31]

Answer: 76 ft2

Step-by-step explanation:

Perimeter = 2 side length +base length

40 = 2s +12

Solving for s:

40-12 =2s

28 =2s

28/2=s

14ft =side

Since the line which bisects and isosceles triangles is at a right angle to the base we can use the Pythagorean Theorem to find the height (see attachment)  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case 14) and a and b are the other sides. (Base divided by 2 is one side, the other side is the height)

Replacing with the values given:  

14^2= 6^2 + x^2

196 = 36 + x^2

196-36 = x^2

160 = x^2

√160 = x

x = 12.64 (height)

Area of an isosceles triangle = 1/2 x base x height  

A = 1/2 x 12 x 12.64 = 76 ft2

5 0
3 years ago
Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​).
Fantom [35]

Answer:  y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form:  y = (5/9)x+(8/9).  [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5).  The y-intercept would also change, but we don't know the value, yet.  For now, we'll use "b" for the y-intercept.  This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​) is

y = -(9/5)x - 1

7 0
3 years ago
Divide 128 chairs among 3 rooms in the ratio of 1 : 3 : 4.​
Alex_Xolod [135]

Answer:

Step-by-step explanation:

1x+3x+4x= 128

8x=128

x=128/8

x=16

therefore,

room 1 = 1x

           = 1*16=16

room 2 = 3x

            =3*16=48

room 3 = 4x

            =4*16=64

PLS MARK BRAINLIEST, THNX

6 0
3 years ago
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