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Rufina [12.5K]
3 years ago
10

pls help the question is in the pic !!!

Mathematics
2 answers:
LiRa [457]3 years ago
6 0
The answer is 45! A triangle measures 180 in total so add all those three angles to get 180.
garri49 [273]3 years ago
6 0
^^ the answer is 45
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Convert y + 1 = 3/4 (x - 16) to standard form.
Archy [21]
3x/4-y=13 or choice B
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3 years ago
Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10
damaskus [11]

Answer:

4

Step-by-step explanation:

set

f(x,y)=x+y\\

constrain:

g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10

Partial derivatives:

f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2

Lagrange multiplier:

grad(f)=a*grad(g)+b*grad(h)\\

\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]

4 equations:

1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10

By solving:

a=4/9\\b=-2/27\\x+y=4

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4

The maximum is 4

6 0
3 years ago
Amita's kitchen is rectangular with an area of 3 and 3/4 square meters the width of the kitchen is 1 and 1/2 m what is the lengt
shtirl [24]

Answer:

2 1 ÷ 2

Step-by-step explanation:

Given that

The kitchen of Amita would be a rectangular area contains 3 and 3 ÷ 4 square meters

And, the width of her kitchen is 1 and 1 ÷ 2 meter

So based on the above information, the length of Amita kitchen is

Here you divide the rectangular area by the width

= (3 and 3 ÷ 4) ÷ (1 and 1 ÷ 2)

= 2 and 1 ÷ 2

Hence, the  length in meters of Anita's kitchen is  2 and  1 ÷ 2  

6 0
3 years ago
Measures of Center and Variability
pickupchik [31]
1. The mean of all the numbers is 41.
5. Median : 52
3 0
3 years ago
Read 2 more answers
A ship at sea, the Gladstone, spots two other ships, the Norman and the Voyager, and measures the angle between them to be 48°.
ratelena [41]

Answer:

=3501 yards.

Step-by-step explanation:

The three ships form a triangle.  From the Voyager the angle between the Norman and the Gladstone=180-(55+48)=77°

Let the position of the Voyager be V that of Norman be N and that of the Gladstone be G

Then, the distance between Norman and voyager is g

g/sin G=v/ Sin V

4590/Sin 77=g/Sin 48

g=(4590 Sin 48)/Sin 77

=3500.8 yards

The distance between the Norman and the voyager= 3501 yards.

3 0
3 years ago
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