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Vedmedyk [2.9K]
3 years ago
9

A local garden contains 1/12 lettuce, 3/12 carrots, 4/12 of corn and the rest red radishes. How much of the garden is radishes?

How much of the garden is either corn or lettuce?
Mathematics
1 answer:
melamori03 [73]3 years ago
3 0

Answer:

The answer to your question is a) 4/12    b) 5/12

Step-by-step explanation:

Data

Lettuce = 1/12

Carrots = 3/12

Corn = 4/12

Red radishes = ?

a)

The total of the garden is 12/12

Red radishes = 12/12 - 1/12 - 3/12 - 4/12

                      = 12/12 - 8/12

                      = 4/12

4/12 of the garden are red radishes.

b)

Corn of lettuce = 1/12 + 4/12

                         = 5/12

5/12 of the garden are corn or lettuce.

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Find the values for θ that make each statement true. <br> a. sinθ=cos32 <br> b. cosθ=sin(θ+20).
faltersainse [42]

Answer:

a. 58

b. 35

Step-by-step explanation:

a. Given,

sinθ = cos 32

We know that cos x = sin (90 - x)

⇒ sin θ = sin (90 - 32)

⇒ sin θ = sin 58

⇒ θ = 58

Thus, the value of θ would be 58.

b. Given,

cosθ = sin(θ+20),

sin (90 - θ) = sin (θ + 20)

⇒ 90 - θ = θ + 20

⇒ 90 - 20 = θ + θ

⇒ 70 = 2θ

⇒ θ = 35

Thus, the value of θ would be 35.

8 0
3 years ago
Where does the line y=3x-5 cross the y axis?
makkiz [27]

Answer:

At (0, -5)

Step-by-step explanation:

The y-intercept (b) is -5 (<em>slope intercept form: y = mx + b</em>) the line will thus cross the y axis at the point (0, -5).

7 0
3 years ago
Compute the flux H F of F(x,y) = hxy, x − yi across the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1.
Softa [21]

Answer:

4i.

Step-by-step explanation:

To find the flux through the square, we use the divergence theorem for the flux. So Flux of F(x,y) = ∫∫divF(x,y).dA

F(x,y) = hxy,x - yi

div(F(x,y)) = dF(x,y)/dx + dF(x,y)dy = dhxy/dx + d(x - yi)/dy = hy - i

So, ∫∫divF(x,y).dA = ∫∫(hy - i).dA

= ∫∫(hy - i).dxdy

= ∫∫hydxdy - ∫∫idxdy

Since we are integrating along the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1, then

∫∫divF(x,y).dA = ∫₋₁¹∫₋₁¹hydxdy - ∫₋₁¹∫₋₁¹idxdy

= h∫₋₁¹{y²/2}¹₋₁dx - i∫₋₁¹[y]₋₁¹dx

= h∫₋₁¹{1²/2 - (-1)/2²}dx - i∫₋₁¹[1 - (-1)]dx

= h∫₋₁¹{1/2 - 1)/2}dx - i∫₋₁¹[1 + 1)]dx

= 0 - i∫₋₁¹2dx

= - 2i[x]₋₁¹

= 2i[1 - (-1)]

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7 0
3 years ago
What percent of 80 is 90
Serhud [2]

\text{What percent of 80 is 90?}\\\\\text{Calculate what fraction of the number 90 is 80}\\\\\dfrac{80}{90}=\dfrac{8}{9}\\\\\text{Convert it to percent}\\\\\dfrac{8}{9}\cdot100\%=\dfrac{800}{9}\%=88\dfrac{8}{9}\%\\\\Answer:\ \boxed{80\ is\ 88\dfrac{8}{9}\%\ of\ 90}

8 0
3 years ago
Please answer correctly !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Sergeeva-Olga [200]

Answer:

q = 14

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Equality Properties
  • Complementary Angles: Angles that add up to 90°

Step-by-step explanation:

<u>Step 1: Set up equation</u>

<em>The 2 angles must add up to 90°.</em>

(4q - 5)° + 39° = 90°

<u>Step 2: Solve for </u><u><em>q</em></u>

  1. Combine like terms:                    4q + 34 = 90
  2. Subtract 34 on both sides:          4q = 56
  3. Divide both sides by 4:                q = 14
6 0
3 years ago
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