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astraxan [27]
2 years ago
12

Find a1 when d= - 1 and a7= -2

Mathematics
1 answer:
Pie2 years ago
5 0

Answer:

  • a₁ = 4

Step-by-step explanation:

<u>Given</u>

  • d = - 1
  • a₇ = - 2

<u>Find</u> a₁

Use the nth term equation of AP

  • aₙ = a₁ + (n - 1)d

Apply to the given case and solve for a₁

  • - 2 = a₁ + 6(- 1)
  • - 2 = a₁ - 6
  • a₁ = 6 - 2
  • a₁ = 4
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A rectangular playground has a perimeter of 180 feet. If the width of the playground is 24 feet less than the length, what is th
Blababa [14]
P = 2(L + W)
P = 180
W = L - 24
now we sub
180 = 2(L + L - 24)
180 = 2(2L - 24)
180 = 4L - 48
180 + 48 = 4L
228 = 4L
228/4 = L
57 = L

W = L - 24
W = 57 - 24
W = 33

so ur length (L) = 57 ft and ur width (W) = 33 ft
3 0
3 years ago
A road is 4 cm long on the map. Find the actual length of the road.
Usimov [2.4K]

The distance between two cities is

75

k

m

s

.

Explanation:

As a road of

4

c

m

.

on road map indicates a road of length equal to

30

k

m

.

Each

c

m

.

on map indicates

30

4

=

7.5

k

m

s

.

Hence a distance of

10

c

m

.

between two cities on the map indicates

7.5

×

10

=

75

k

m

s

7 0
3 years ago
In example 4, the volume of the beach ball is 17,000 cubic inches. Find the radius to the nearest inch. Use 3.14 for pi
blagie [28]

Volume of a sphere formula is: V=4 /3 πr^3

You know v=17000 and pi=3.14

17 000 = 4/3 x 3.14 x r^3

(divide 17 000 by 4/3 x 3.14 ) --> r^3 = 4060.51 (2dp)

(cube root is to get just r) r = 15.95 inches (2dp)

There 15 inches to the nearest inch.

Hope this is correct! :D


7 0
3 years ago
What’s the length of the rectangle if the width is 9?
Vladimir [108]

Answer:

18

Step-by-step explanation:

9+9=18 both sides of the rectangle is 9 so the top is longer which means 18

3 0
3 years ago
PLZ HELP BRAINLIEST
Montano1993 [528]

Answer:

see explanation below

Step-by-step explanation:

You have three pairs of shoes (white, brown, and black), and you have 6 pairs of pants ( brown,  blue, grey, white, sand, and  black)

We use the Fundamental Counting Principle to find the number of possible pant-shoe combinations:

3 * 6 = 18

then we can find the probability of wearing by random selection brown shoes with either blue or grey pants:

prob (brown shoes & blue pants) + prob (brown shoes & grey pants) =

= 1/18 + 1/18 = 2/18 = 1/9

3 0
3 years ago
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