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3 years ago

Adele has 3 64-ounce cartons of orange juice and 3 48-ounce cans of apple juice. How much juice does she have altogether?

Mathematics

2 answers:

ale4655 [162]3 years ago

4 0

I think if u add 364+348 you will get 712

NNADVOKAT [17]3 years ago

3 0

Answer: 336 is the answer.

Step-by-step explanation:

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Evaluate the expression under the given conditions. tan(2); cos() = 5 13 , in quadrant i

Nataliya [291]

The solution to given expression tan(2θ) is 22.615°

For given question,

We have been given an expression tan(2θ)

Given that cos(θ) = 5/13, and θ is in quadrant 1.

We know that the trigonometric identity

sin²θ + cos²θ = 1

⇒ cos²θ = (5/13)²

⇒ sin²θ = 1 - 25/169

⇒ sin²θ = 169 - (25/169)

⇒ sin²θ = 144/169

⇒ sin(θ) = 12/13

We know that the identity cos(2x) = cos²x - sin²x

⇒ cos(2θ) = cos²θ - sin²θ

⇒ cos(2θ) = 25/169 - 144/169

⇒ cos(2θ) = -119/169

And sin(2x) = 2sin(x)cos(x)

⇒ sin(2θ) = 2sin(θ)cos(θ)

⇒ sin(2θ) = 2 × 12/13 × 5/13

⇒ sin(2θ) = 120/169

We know that, tan(x) = sin(x)/cos(x)

⇒ tan(2θ) = sin(2θ)/cos(2θ)

⇒ tan(2θ) = (120/169) / (-119/169)

⇒ tan(2θ) = 120 / (-119)

⇒ tan(2θ) = -1.008

Since θ is in quadrant 1, tan(2θ) = 1.008

⇒ 2θ = arctan(1.008)

⇒ 2θ = 45.23

⇒ θ = 22.615°

Therefore, the solution to given expression tan(2θ) is 22.615°

Learn more about the expression here:

brainly.com/question/14961928

#SPJ4

7 0

2 years ago

If a loan of 1,500 at 4% is paid off in 90 days what is the interest

slega [8]

Answer:

Compound interest =$14.58

Simple Interest=$14.79

Step-by-step explanation:

Let's assume the interest rate charged on the loan was simple in nature.

-Simple interest is calculated using the formula:

$I=PRT,\\\\=1500\times 0.04\times \frac{90}{365}\\\\=14.79$

Hence, the simple interest on the loan was $14.79

#If the interest is compound in nature with just one compounding per year:

$A=P(1+i)^n\\\\I=A-P\\\\I=1500(1.04)^{90/365}-1500\\\\=14.58$

Hence, the compound interest charged on the loan is $14.58

3 0

3 years ago

PLEASEE HELPP ME DO THISS

Komok [63]

Click on the photo to view full solution

5 0

3 years ago

It says i got it wrong. What is 360 divide by 10 times 2?

Rufina [12.5K]

The answer is 72 hope that helped love :)<3

8 0

3 years ago

Read 2 more answers

Please help me find surface area for each. Round to the nearest tenth if needed.

Degger [83]

Answer:

168 in², 94.25 yd²

Step-by-step explanation:

I couldn't find a formula for the SA of a triangular prism so I just found the area of each surface.

The formula for SA of a cylinder is $2\pi rh+2\pi r^{2}$

All work for triangular prism is in the image

3 0

3 years ago