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2 years ago

PLZZZZ HELPPP ASAPPP!!!!

Mathematics

1 answer:

zvonat [6]2 years ago

3 0

Answer: A is the answer or C

Step-by-step explanation: The hypotenuse is always the longest or biggest angle

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What are the steps for solving a absolute value equation.

Mamont248 [21]

Step 1: Isolate the absolute value

Step 2: Is the number on the other side of the equation negative?

Step 3: Write two equations without absolute value bars

Step 4: Solve both equations

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2 years ago

How much did jennie earn if she got $40 for babysitting plus a 15% tip

vazorg [7]

Answer:

$46

Step-by-step explanation:

100% of 40 is 40. 10 percent of 40 is 4. 5% of 40 is 2. 40+4+2=46.

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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

The coordinates of △ABC are A(12,8), B(10,18), C(4,16) . After a dilation, the coordinates are A'(6,4), B'(5,9), C'(2,8) A′(6,4)

gogolik [260]

Take note of that every single coordinate had their values divided by 2 after the dilation. Therefore, the scaling factor is 1/2, or .5

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2 years ago

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tony is taking a 5 year loan in the amount of $15,000. The interest is continuously compounded at an annual rate of 7%. How much

kobusy [5.1K]

Answer:

$21,038.28

Step-by-step explanation:

Use the equation 15000(1.07)^5 since 1.07 equals to 7% and you are loaning more money to Tony's account for 5 years. You should get $21,038.28 as your result.

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2 years ago

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