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prohojiy [21]
3 years ago
9

Find the number of terms common to the two A.P.'s 3,7,11,......,407 and 2,9,16,......,709

Mathematics
1 answer:
melomori [17]3 years ago
5 0

Answer: 14 terms

Step-by-step explanation:

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Plz help me with this. It is a test
Tatiana [17]

Answer:

5 divided by 20= 1/4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Ralph is painting the barn below, including the sides and roof.  He wants to know how much paint to purchase. 
grandymaker [24]
PART A

The barn is constructed by the following 2D shapes

Two triangles of height = 4' and base = 20'
Area = 2 × (0.5×4×20) = 80

Two rectangles of length = 20' and width = 15'
Area = 2 × 20 × 15 = 600

Two rectangles of length = 45' and width = 15'
Area = 2 × 45' × 15' = 1350

One base of length = 45' and width = 15'
Area = 45 × 15 = 675

Two rectangles on each on one side of the roof. We have the length = 45'  but not the width. We can work out the width by using Pythagoras theorem

w² = 4² + 10²
w² = 16 + 100
w² = 116
w = √116 = 10.77

Area of the two rectangles on the roof part is = 2 ×10.77 × 45 = 969.33

Total area to paint = 969.33+675+1350+600+80 = 3674.33 ≈ 3700 (to the nearest hundreth)


PART B

Numbers of paint cans needed = 3700 ÷ 57 = 64.9 ≈ 65 cans

PART C

Total cost of paint = 65 × 23.50 = $1527.50

PART D

The barn is constructed by a cuboid and a rectangular prism

V of cuboid = length × width × height
V of cuboid = 20 × 45 × 15
V of cuboid = 13500

V of triangular prism = Area of cross section × depth
V = [0.5×4×20] × 45
V = 1800

Total volume = 1800 + 13500 = 15300


7 0
3 years ago
Suppose you mark n points on a circle, where n is a whole number greater than 1. The number of segments you can draw that connec
dezoksy [38]
Just subsitute 8 for n
1/2(8)^2-1/2(8)
1/2(64)-4
32-4
28
D
7 0
3 years ago
To make a sports drink for the football team, Jaylen filled \dfrac9{10}
Scilla [17]

The total gallons of sports drink Jaylen made using 9/10 of a large cooler with water and 6 cups of sports drink concentrate is 3.75 gallons

<h3>Total gallons</h3>

  • Water in the large cooler = 9/10

Space remaining = 1 - 9/10

= 10-9 / 10

= 1/10

1/10 = 6 cups

  • Total gallons of sport drink = x

6 cups / total = 1/10

6 × 10 = total × 1

60 cups = total

Cups to gallons:

16 cups = 1 gallon

Total gallons of sport drink, x = 60 cups / 16

= 3.75 gallons

Complete question:

To make a sports drink for the football team, Jaylen filled 9/10 of a large cooler with water. Then, he filled the remaining space with 6 cups of sports drink concentrate. How many gallons of sports drink did Jaylen make?

Learn more about total gallons:

brainly.com/question/26007201

#SPJ1

3 0
2 years ago
I need help with this please
sergeinik [125]
46. They are corresponding angles. if you get rid of the line in between 46 and C then youll see that they are on 1 line and corresponding angles are always equal
3 0
3 years ago
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