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Law Incorporation [45]
3 years ago
11

Please help now ill put you brainlest!? ​

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
7 0

Answer:

24 degrees

Step-by-step explanation:

it is a right angle

42+2x=90

2x=48

x=24

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Evgen [1.6K]
Yeah.. baby, do the SOH CAH TOA with the hula hoop

\bf 
sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}


so.. hmmm we have in the picture, an angle, and two sides,
actually, is the "adjacent" side, and the "opposite"

so.. which  of those ratios give us only
the angle
the adjacent side
the opposite side?

ahhha!, is Ms tangent
so  \bf tan(\theta)=\cfrac{opposite}{adjacent}\implies tan(42^o)=\cfrac{h}{100}

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3 years ago
If two angles have the same measure, then they are right angles true or false
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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
At the start of his race, 86-kg Olympic 100m champion Usain Bolt pushes against the starting block, exerting an average force of
Leviafan [203]
1) Determine the horizontal force, Fx, exerted by the block on Usain

cos(20°) = Fx / F => Fx = F*cos(20) = 1700N*cos(20) = 1597.48 N

2) Determine the Impulse of that force on Usain.

I = F*t = 1597.48N * 0.32s = 511.19 N*s

3) Determine change in momentum of Usain, Δp

Δp = I = 511.19 N*s

4) Find change if velocity

Δp = Δ(mV) = mΔV => ΔV = Δp / m = 511.19 N*s / 86 kg = 5.94 m/s

Given the Usain started from rest, the velocity is ΔV - 0 = 5.94 m/s

Answer: 5.94 m/s
3 0
3 years ago
Use the following information for questions 1 through 6. The dietitian at a camp is planning breakfast for the first day of camp
Dima020 [189]

Answer:

Let x and y be the pieces of toast and sausage required.

Then the objective function is

Min Z=0.04x+0.08y

Constraints:

Vitamin A, 2x+4y≥20

Vitamin B, 3x+1.5y≥15

Iron, 2x+2y≥16

Sausage, y≤4

The non-negative constraints are x≥0, y≥0

Thus, the linear programming model is

Min Z=0.04x+0.08y

Subject to,

2x+4y≥20

3x+1.5y≥15

2x+2y≥16

y≤4

x≥0, y≥0

1) There are two variables in the LP model. So, option (B) is correct.

2) The LP model contains four constraints (excluding the non negative constraints). So, option (D) is correct.

3) Solving the LP model using a software, we get the solution as

z=0.4, at x=6 and y=2

So, The cost of the breakfast is $ 0.4. Option (B) is correct.

4) The breakfast should contains 6 toasts.

5) The amount of Vitamin B in the breakfast = 3(6)+1.5(2)=18+3=21 milligrams. So, option (C) is correct.

6) The amount of Iron in the breakfast= 2(6)+2(2)=12+4=16 milligrams. So, option (B) is correct.

Step-by-step explanation:

4 0
3 years ago
Five years from now, the sum of the ages of a women and her daughter will be 40 years. The difference in their present age is 24
Tomtit [17]

Answer:

Daughter age = 3 years

Step-by-step explanation:

Let x be the age of the women and y be the age of the daughter.

Given:

After five year the sum of the women and daughter age = 40

(x+5)+(y+5)=40

At present the sum of the women and daughter age

x+5+y+5=40

x+y+10=40

x+y=40-10

x+y=30--------------(1)

So the sum of the present age is x+y=30

The difference in their present age is 24 years.

x-y=24

x=24+y

Now we substitute x value in equation 1.

(24+y)+y=30

24+2y=30

2y=30-24

2y=6

y=\frac{6}{2}

y=3\ years

Therefore, the daughter age is 3 years.

7 0
4 years ago
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