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weqwewe [10]
2 years ago
9

Find four consecutive odd integers such that 5 times the sum of the first and the third is 15 more than 5 times the fourth.​

Mathematics
1 answer:
Dvinal [7]2 years ago
7 0

Answer:

The required numbers are :

\boxed{ \boxed{ 5,7,9 \: and \: 11}}

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Find the diameter of the circle. Assume the leg of the triangle is tangent to the circle. Round any decimals to the nearest tent
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Answer:

8.7 units

Step-by-step explanation:

Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)

Let the length of the diameter be d units

By Pythagoras Theorem:

d =   \sqrt{ {10}^{2} -  {5}^{2}  }  \\  =  \sqrt{100 - 25}  \\  =  \sqrt{75} \\  =  8.66025404 \\  = 8.7 \: units

3 0
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Len [333]

Answer:

In the operation, simplify

9-a² = (3-a)(3+a)

Factorize

4a²-4a-24-------------------divide each term by 4

a²-a-6-------------------------factorize

a²-3a+2a-6

a(a-3)+2(a-3)

(a+2)(a-3)

Factorize

a²-6a+9

a²-3a-3a+9

a(a-3)-3(a-3)

(a-3)(a-3)

Rewrite operation as

\frac{8}{(3-a)(3+a)} /\frac{(a+2)(a-3)}{(a-3)(a-3)}

Multiply by the recipricol

\frac{8}{(3-a)(3+a)} *\frac{(a-3)(a-3)}{(a+2)(a-3)}

cancel the similar terms

\frac{8}{(3-a)(3+a)} *\frac{(a-3)}{(a+2)}

6 0
3 years ago
The volume of a box is found by multiplying its length, width, and height. The three sides are 0.5 foot, 0.75 foot, and 0.4 foot
just olya [345]
(1/2)×(3/4)×(2/5)=5/40=1/8

as a decimal, this is .125
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1.25×10^-1 ft^3
4 0
3 years ago
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NemiM [27]
I believe the product of the equation is 439.43
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3 years ago
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Write in slope-intercept form an equation of the line that passes through the points (−6,−3) and (18,1).
Brilliant_brown [7]

6x-y+33=0

Step-by-step explanation:

m=y2-y1/x1-x2

m=1-(-3)/18-(-6)

m=4/24m=6

m=y-y1/x-x1

6=y-y1/x-x1

6x-y+33=0

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