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3 years ago

Please help me with these....or one and explain how to put into calculator please.....

Mathematics

1 answer:

ololo11 [35]3 years ago

5 0

Answer:

1. x= -20

2. x= 6.33

Step-by-step explanation:

Question 1:

10=7

x=x+6

(Cross multiply)

10(x+6)=7x

10x+60=7x

10x-7x=-60

3x=-60

x=-60/3= -20

Question 2:

6=4

8=x-1

(Cross multiply)

6(x-1)=4×8

6x-6=32

6x=32+6

6x=38

x= 6.33

hope it helps! please mark me brainliest

thank you! have a good day ahead

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Answer:

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Step-by-step explanation:

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2 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 $\csc{\theta} = \dfrac{1}{\sin{\theta}}$

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

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3 years ago

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AlladinOne [14]

Answer:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Zigmanuir [339]

Answer:

the answer is x = 0

Step-by-step explanation:

Cancel equal terms on both sides of the equation:

$5x = 0$