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tamaranim1 [39]
2 years ago
14

Find the missing angle

Mathematics
2 answers:
trapecia [35]2 years ago
5 0
It’s 100
because to find missing angles you add together the known angles then subtract that from 180
69+11 = 80
180- 80 = 100
labwork [276]2 years ago
3 0

Answer:

x=21

Step-by-step explanation:

69+90= 159

180-159=21

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What is the probability of landing on a multiple of 3 in a twenty-sided die?
scoray [572]

Answer:

1by 20

Step-by-step explanation:

no of digit by no of sides

5 0
2 years ago
Use Lagrange multipliers to find the dimensions of the box with volume 1728 cm3 that has minimal surface area. (Enter the dimens
Dima020 [189]

Answer:

(x,y,z) = (12,12,12) cm

Step-by-step explanation:

The box is assumed to be a closed box.

The surface area of a box of dimension x, y and z is given by

S = 2xy + 2xz + 2yz

We're to minimize this function subject to the constraint that

xyz = 1728

The constraint can be rewritten as

xyz - 1728 = 0

Using Lagrange multiplier, we then write the equation in Lagrange form

Lagrange function = Function - λ(constraint)

where λ = Lagrange factor, which can be a function of x, y and z

L(x,y,z) = 2xy + 2xz + 2yz - λ(xyz - 1728)

We then take the partial derivatives of the Lagrange function with respect to x, y, z and λ. Because these are turning points, each of the partial derivatives is equal to 0.

(∂L/∂x) = 2y + 2z - λyz = 0

λ = (2y + 2z)/yz = (2/z) + (2/y)

(∂L/∂y) = 2x + 2z - λxz = 0

λ = (2x + 2z)/xz = (2/z) + (2/x)

(∂L/∂z) = 2x + 2y - λxy = 0

λ = (2x + 2y)/xy = (2/y) + (2/x)

(∂L/∂λ) = xyz - 1728 = 0

We can then equate the values of λ from the first 3 partial derivatives and solve for the values of x, y and z

(2/z) + (2/y) = (2/z) + (2/x)

(2/y) = (2/x)

y = x

Also,

(2/z) + (2/x) = (2/y) + (2/x)

(2/z) = (2/y)

z = y

Hence, at the point where the box has minimal area,

x = y = z

Putting these into the constraint equation or the solution of the fourth partial derivative,

xyz - 1728 = 0

x³ = 1728

x = 12 cm

x = y = z = 12 cm.

7 0
3 years ago
What is the value of the following expression?2 x [(12 + 2) x 5] + 32 divided by 2 number on top right 3
a_sh-v [17]

The value of the expression is 141.5

Explanation:

The expression is $2 \times[(12+2) \times 5]+\frac{3}{2}$

The value of the expression can be determined using the rule PEMDAS.

According to the PEMDAS rule, first we need to perform the operation which is within the parenthesis.

Thus, the expression becomes,

$2 \times(14 \times 5)+\frac{3}{2}$

Multiplying the values within parenthesis, we have,

$2 \times70+\frac{3}{2}$

Using PEMDAS, we need to multiply the numbers.

$140+\frac{3}{2}$

Again using PEMDAS rule, divide the number,

140+1.5

Finally, using PEMDAS, let us add the values, we have,

141.5

Thus, the value of the expression is 141.5

7 0
3 years ago
How to solve 3x+7+2=33
Dima020 [189]
3x+7+2=33 \\ 3x+9=33 \\ 3x=24 \\ x= \frac{24}{3} \\ \boxed{x=8}
6 0
3 years ago
Read 2 more answers
What is the solution of ?
Tanya [424]

Answer:

of what???????..???..

5 0
3 years ago
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