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3 years ago

6

A salsa recipe uses green pepper, onion, and tomato in the extended ratio 2:5:9. How many cups of onion are needed to make 96 cu

ps of salsa

1 answer:

son4ous [18]3 years ago

3 0

2x+5x+9x=96
16x=96
X=6

Green peppers =2*6=12
Onions=5*6=30
Tomato =9*6=64

Onions are 30

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Mamont248 [21]

Answer: see proof below

<u>Step-by-step explanation:</u>

Use the Sum & Difference Identity: cos (A + B) = cos A · cos B - sin A · sin B

Recall the following from Unit Circle: cos (π/2) = 0, sin (π/2) = 1

cos (π) = -1, sin (π) = 0

Use the Quotient Identity: $\tan A=\dfrac{\sin A}{\cos A}$

<u>Proof LHS → RHS:</u>

$\text{LHS:}\qquad \qquad \dfrac{\cos \bigg(\dfrac{\pi}{2}+x\bigg)}{\cos \bigg(\pi +x\bigg)}$

$\text{Sum Difference:}\qquad \dfrac{\cos \dfrac{\pi}{2}\cdot \cos x-\sin \dfrac{\pi}{2}\cdot \sin x}{\cos \pi \cdot \cos x-\sin \pi \cdot \sin x}$

$\text{Unit Circle:}\qquad \qquad \dfrac{0\cdot \cos x-1\cdot \sin x}{-1\cdot \cos x-0\cdot \sin x}$

$=\dfrac{-\sin x}{-\cos x}$

Quotient: tan x

LHS = RHS $\checkmark$

7 0

3 years ago

Read 2 more answers

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.

likoan [24]

Weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an apple=weight of an orange -10% weight of an orange

a.<span>By what percentage is the grapefruit heavier than the apple?
We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.
</span>
weight of an grapefruit=weight of an <span>orange+8% weight of an orange
</span>weight of an orange=weight of an apple<span> +10% weight of an apple
</span>
-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8%(weight of an apple+10% weight of an apple)= weight of an apple + 18% weight of an apple + 2% weight of an apple= <span>weight of an apple + 20% weight of an apple

</span><span>b.By what percentage is the apple lighter than the grapefruit?
</span>weight of an grapefruit=weight of an apple + 20% weight of an apple<span>
</span>
-> The apple ts 20% lighter than the grapefruit.

8 0

3 years ago

Read 2 more answers

Given: ABCD trapezoid BC=1.2m, AD=1.8m AB=1.5m, CD=1.2m AB ∩ CD =K Find: BK and CK

tekilochka [14]

Answer:

BK=3

CK=2.4

Step-by-step explanation:

Hope it works

8 0

3 years ago

PLEASE HELP ME WITH THIS PROBLEM!!! I NEED TO TURN IT IN TODAY

Murrr4er [49]

Answer:

U=19

A=8

B=5

Step-by-step explanation:

Cardinality refers to the number of elements in a set.

8 0

3 years ago

What is the area of the figure shown below?

german

Área of rectangle= 18 x 14 = 252

Area or triangle=
30-18= 12
12 is the base of the triangle
14 is the height of the triangle
Area of a Triangle= 1/2bh
1/2(12)(14)=84
Área of Triangle= 84

252+84= 336

Answer= 336

4 0

2 years ago