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Marat540 [252]
3 years ago
11

The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence?

Mathematics
1 answer:
Marina86 [1]3 years ago
6 0
The answer is 29 

let n be the first of the consecutive odd numbers
⇒ n, n+2, n+4 n+6, n+5
represent 5 consecutive odd numbers
sum = n+ (n+2) + (n+4) + (n+6) + (n+8) = 5n+20
⇒ 5n +20=145 
Solve for n = 25

25, 27, 29, 31, 33

25+27+29+31+33=145
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Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes. ​
Mazyrski [523]

There are 3 girls & 4 boys.

Each student makes 8 paper airplanes.

Amount of paper airplanes created by girls: 3 x 8 = 24

Amount of paper airplanes created by boys: 4 x 8 = 32

Amount of paper airplanes created in all: 3(8) + 4(8) = 24 + 32 = 56

~

3 0
2 years ago
The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of π? A cone with a right triangle formed
Lady bird [3.3K]

Answer:

142.1π in³

Step-by-step explanation:

Given that:

The radius (r) =  7 in

The slant height (y) = 25 in

Then the height (x) can be determined by using the Pythagoras rule:

y² = x² + r²

25² = x² + 7²

125 = x² + 49

125 - 49 = x²

x² = 76

x = √76

x = 8.7

The formula for the volume of a cone is;

= 1/3 πr²h

where;

height(h) is calculated as "x" from above = 8.7

Then;

= 1/3 × π × (7 in)² × 8.7 in

= 142.1π in³

5 0
2 years ago
Read 2 more answers
Solve for x round to the nearest tenth
lidiya [134]

Answer:

47.0

Step-by-step explanation:

In this right angle triangle, we are faced with a challenge of two sides. The opposite side and the adjacent side, hence the tangent is used.

Where it is the opposite side and hypothenus side, the sine is used and when it is the hypothenus side and adjacent side, the cosine is used.

Hence, we have tan62°=x/25

We cross multiply, to have

25(tan 62°)= x

x = 47.01816

In rounding up numbers, number 1 to 4 will be rounded up to zero, while numbers 5 to 9 will be rounded up to 1.

Rounding up 47.01816 to the nearest tenth. The tenth value is the figure is 0, before it we have 1, which is to hundredth. 1 will be rounded up to zero.

So we have 47.0

3 0
2 years ago
This rectangle has side lengths r and s.
quester [9]
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7 0
2 years ago
What is the area of the figure shown below?
german
Área of rectangle= 18 x 14 = 252

Area or triangle=
30-18= 12
12 is the base of the triangle
14 is the height of the triangle
Area of a Triangle= 1/2bh
1/2(12)(14)=84
Área of Triangle= 84

252+84= 336

Answer= 336
4 0
2 years ago
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