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Rainbow [258]
3 years ago
13

What is the volume of a cylinder tgat gas tge sane vase and height as the cone?

Mathematics
1 answer:
natka813 [3]3 years ago
5 0
Aodbsodbdod odbsjepdbdiwlwndm
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The first term of an Ap are x, 2x +1, and 5x+1 Find<br> x and the sum of the<br> l0 terms<br> first
bazaltina [42]

Answer:

145/2

Step-by-step explanation:

d=[2x+1-x] = [5x+1 -(2x+1)]

x+1=3x

x-3x=-1

-2x=-1

x=1/2

therefore first term is 1/2

second term is 2(1/2)+1= 2

common difference d is 2-1/2=3/2

sum of first n terms is n/2 [2a+(n-1)d] where n=10

sum of first 10 terms= 10/2[2×1/2+(10-1)3/2]

=5[1+(9)3/2] =5[1+27/2] = 5[29/2] =145/2

7 0
3 years ago
Match the right side of the equation to the left side<br> cot x sec^4 x=cot x+ 2 tan x+tan^3 x
Natalka [10]

Step-by-step explanation:

cot x + 2 tan x + tan³ x

Write in terms of sine and cosine:

(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)

Find the common denominator:

(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))

Add:

(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)

Factor:

(sin² x + cos² x)² / (sin x cos³ x)

Pythagorean identity:

1 / (sin x cos³ x)

Multiply top and bottom by cos x:

cos x / (sin x cos⁴ x)

Simplify:

cot x sec⁴ x

5 0
3 years ago
Kristin bought eight boxes.A week later half of all her boxes were destroyed in a fire.There are now only 17 boxes left.With how
Dmitriy789 [7]

Answer:

She started with 26 boxes.

Step-by-step explanation:

She started with x boxes. Then she bought 8 more boxes. Now she had x + 8 boxes. Then half the boxes were destroyed, so she has the other half of the boxes. Half of the boxes is (x + 8)/2. She has now 17 boxes, so (x + 8)/2 = 17.

(x + 8)/2 = 17

Multiply both sides by 2.

x + 8 = 34

Subtract 8 from both sides.

x = 26

She started with 26 boxes.

7 0
3 years ago
What values of x and y satisfy the system of equations {3x+2y=14x=4y−2? infinitely many solutions (5011,1811) (1811,5011) no sol
irinina [24]
3x+2y=14x=4y-2

(x,y)=(1/4,11/8)
8 0
3 years ago
The price for 11 ballpoint pens is $11.77. Which of the following represents the same price per pen? A. 4 pens for $4.44 B. 5 pe
Harrizon [31]
First we need to know how much each pen costs.  So we take 11.77 and divide it by 11.  That gives us 1.07 per pen.  So answer choice A has 4 pens for 4.44, so we need to multiply 1.07 x 4.  That gives you 4.28, so we know that isn't the correct answer.  For option B, we need to multiply 1.07 x 5.  That is 5.35, so that also can't be the answer.  For C, we need to do 1.07 x 6, and that gives us 6.42.  So we know the correct answer is option C.
3 0
3 years ago
Read 2 more answers
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