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3 years ago

Help a little friend out? :)

Mathematics

1 answer:

frez [133]3 years ago

7 0

ok first off ur not my little friend lol and ur answer should be 996.31 sorry if its wrong i tried <3

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What is 845 rounded to the nearest ten

a_sh-v [17]

850.................

3 0

3 years ago

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Complete the

nydimaria [60]

Answer:

8th: 23

11th: 32

15th: 44

22nd: 65

18th: 53

Step-by-step explanation:

The pattern is adding 3 each time:

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65

Hope it helps!

4 0

3 years ago

Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).

insens350 [35]

Answer:

$\cos{\theta} = \dfrac{1}{52}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

$\sec{\theta} = \dfrac{1}{\cos{\theta}}$

we can substitute the value of sec(θ) in this equation:

$52 = \dfrac{1}{\cos{\theta}}$

and solve for for cos(θ)

$\cos{\theta} = \dfrac{1}{52}$

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by $\theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ$

b) since right triangle is mentioned in the question. We can use:

$\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}$

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

length of the adjacent side = 1
length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

$(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2$

$(52)^2=(1)^2+(\text{opp})^2$

$\text{opp}=\sqrt{(52)^2-1}$

$\text{opp}=\sqrt{2703}$

length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

$\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}$

$\sin{\theta} = \dfrac{\sqrt{2703}}{52}}$

and since $\csc{\theta} = \dfrac{1}{\sin{\theta}}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

4 0

3 years ago

If one-sixth of a number plus one-third returns two-thirds of that number What is the number

Solnce55 [7]

Answer:

$x= \frac{2}{3}$

Step-by-step explanation:

Let the number be x

Given

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Required

Find x

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Collect Like Terms

$\frac{1}{6}x - \frac{2}{3}x = - \frac{1}{3}$

Take LCM

$\frac{1 - 4}{6}x = \frac{-1}{3}$

$\frac{- 3}{6}x = \frac{-1}{3}$

Multiply both sides by 6

$6 * \frac{- 3}{6}x = \frac{-1}{3} * 6$

$-3x= -2$

Divide both sides by -3

$\frac{-3x}{-3}= \frac{-2}{-3}$

$x= \frac{2}{3}$

Hence, the number is $\frac{2}{3}$

7 0

3 years ago

Can anyone help with this, it’s my worst subject.

Zina [86]

Answer:

Yes

Step-by-step explanation:

They are congruent because they gave the same dimensions.

5 0

3 years ago

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