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3 years ago

2. Solve for x. Round answer to the nearest tenth. *

Mathematics

1 answer:

slavikrds [6]3 years ago

4 0

Answer:

x ≈ 7.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos22° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{8}$

Multiply both sides by 8

8 × cos22° = x, thus

x ≈ 7.4 ( to the nearest tenth )

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What is the exact volume of the cone with a radius of 7in and a height of 4in use 3.14 for π

vfiekz [6]

Answer:

The exact volume of the cone is $\frac{196}{3}\pi\ in^{3}$

Step-by-step explanation:

we know that

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=7\ in$

$h=4\ in$

substitute the values

$V=\frac{1}{3}\pi (7^{2})(4)=\frac{196}{3}\pi\ in^{3}$

8 0

3 years ago

Read 2 more answers

5. Write down the nth term of each of the following G.Ps

yawa3891 [41]

Answer:

1i) nth term = 12(-b/4)^(n-1)

ii) nth term = 3(-1/9)^(n-1)

2i) Sixth term= (-3b^5)/256

ii) Eight term = -1/1594323

Question:

The complete question as found on brainly (question-10746111):

Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.

i) 12,-3b,......sixth term

ii) 3,-1/3,..........;8th term?

Step-by-step explanation:

1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.

i) 12,-3b,......;sixth term

1st term = a= 12

r = common ratio = 2nd term /1st term

r = -3b/12 = -b/4

Then we would find the nth term

See attachment for details

ii) 3,-1/3,..........;8th term

1st term = a= 3

r = common ratio = 2nd term /1st term

r = (-⅓)/3 = (-⅓)(⅓) = -1/9

Then we would find the nth term

See attachment for details

2) we are to determine the sixth term in (i) and eight term in (ii)

See attachment for details

Sixth term= (-3b^5)/256

Eight term = -1/1594323

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3 years ago

– 42 – 54 + 96 = what is the answer

mart [117]

Answer:

Answer:the answer is zero 

Answer:the answer is zero Step-by-step explanation:

Answer:the answer is zero Step-by-step explanation:when we add -42 and -54 the answer we get is -96. -96and +96 cut each other and then the answer is zero 

 $- 42 - 54 + 96 = 0$ 

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1 year ago

Trigonometry word problems

astraxan [27]

From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35º. Find the height of the tree to the nearest foot.

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2 years ago

5. Each pair of polygons below are similar. Show your work! Solve for x:

Stella [2.4K]

Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).

If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.

18 is the length of the top of the trapezoid.

You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.

14=2x
Divide by 2 and x=7

(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)

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3 years ago