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murzikaleks [220]
2 years ago
11

Perimeter of triangle:20

Mathematics
1 answer:
goblinko [34]2 years ago
4 0

Answer:

perimeter of rectangle= 2(4+X)

32=8+2x

32-8=2x

26=2x

26/2=X

14=X

perimeter of triangle=3×sides

20=3x

20/3=X

6.66=x

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Find the sum of the first six terms of the sequence.<br><br><br> S6 = ⇒ 84
k0ka [10]

Answer:

Explained below.

Step-by-step explanation:

Consider the series is a set of first 6 natural numbers.

Sum of first <em>n</em> terms is:

\text{Sum of n terms}=\frac{n(n+1)}{2}

\text{Sum of first 6 terms}=\frac{6(6+1)}{2}

                               =3\times7\\=21

Consider the series is an arithmetic sequence.

Sum of first <em>n</em> terms is:

S_{n}=\frac{n}{2} [2a+(n-1)d]

Here<em>,</em>

<em>a</em> = first term

<em>d</em> = common difference

Consider the series is an geometric sequence.

Sum of first <em>n</em> terms is:

S_{n}=\frac{a_{1}\cdot(1-r^{n})}{(1-r)}

Here<em>,</em>

<em>a₁</em> = first term

<em>r</em> = common ratio

7 0
3 years ago
Help&amp;EXPLAIN <br> •••••••••••••••••••<br> Help plz
Stolb23 [73]

Answer:

diameter = 2.5 feet

Step-by-step explanation:

Circumference of a circle is given as C = πd

Circumference of the tree trunk = 7.85 ft

π = 3.14

Diameter of the tree trunk = d

Thus:

7.85 = 3.14*d

Divide both sides by 3.14

7.85/3.14 = 3.14*d/3.14

2.5 = d

d = 2.5 ft

3 0
3 years ago
You have $30 to spend on gas for your vehicle this week. If gas costs $2.42 per gallon, how many gallons of gas can you buy? Rou
BartSMP [9]

Answer:

you can get 12 gallons on gas

Step-by-step explanation:

x/30=1/2.42

step 1) cross multiply

x * 2.42 = 1 * 30

2.42x=30

step 2) divide both sides by 2.42

2.42x/2.42 = 30/2.42

= 12.396694

round to the nearest gallon

≈12 gallons

5 0
3 years ago
a cylinder and a cone start with the same radius and height the radius of the cone is then trippled and the height of the cone i
Fittoniya [83]

Answer:

Therefore the cone is the greatest relative increase in volume.

Step-by-step explanation:

Cone:

Original cone = (1/3)π(h)r^2

Changed cone = (1/3)π(h/2)(3r)^2

= (1/2)(1/3)π(h)9r^2

= (9/2) * Original cone

=4.5 * Original cone

Cylinder:

Original cylinder = π(h)r^2

Changed cylinder = π(2h)r^2

=2 * Original cylinder

Therefore the cone is the greatest relative increase in volume.

3 0
3 years ago
Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets p after t minutes of printing
BARSIC [14]

Answer:

0=-8t + 100

8t=100

t=12.5 minutes

Step-by-step explanation:

Hope this helped! Im sorry if it didn't. Here is the link:

brainly.com/question/5881676

7 0
3 years ago
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