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jonny [76]
3 years ago
12

What is the value of X

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

x ≈ 23.31

Step-by-step explanation:

We can use the law of cosines because we know 2 sides and 1 angle.

The general formula  for the law of cosines if the triangle sides are a, b,c and α is the angle between sides a and b. c is the missing side.

c = \sqrt{a^{2} +b^{2} -2*a*b* cos \alpha }

In our problem the law of cosines is

x = \sqrt{21^{2} +13^{2} - 2*21*13 *cos 83}

x ≈ 23.31

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When it is born a kitten weighs 110g when it is two months old it weighs 550g calculate the percentage increase in its mass
torisob [31]

Given:

Initial weight of kitten = 110g

Present weight of kitten = 550g

To find:

The percentage increase in its mass.

Solution:

To get the percentage increase in its mass, we need to find the percentage increase in its weight.

\%Increase=\dfrac{\text{Present value - Initial value}}{\text{Initial value}}\times 100

\%Increase=\dfrac{550-110}{110}\times 100

\%Increase=\dfrac{440}{110}\times 100

\%Increase=4\times 100

\%Increase=400

Therefore, the percentage increase in kitten's mass is 400%.

3 0
3 years ago
A triangle has one leg measuring 10 inches and the hypotenuse measuring 20 inches. the other leg measures 10\sqrt[]{3} 10 3 inch
stiv31 [10]
From the description given for the triangle above, I think the type of triangle that is represented would be a right triangle. This type of triangle contains a right angle and two acute angles. In order to say or prove that it is a right triangle, it should be able to satisfy the Pythagorean Theorem which relates the sides of the triangle. It is expressed as follows:

c^2 = a^2 + b^2

 where c is the hypotenuse or the longest side and a, b are the two shorter sides.

To prove that the triangle is indeed a right triangle, we use the equation above.

c^2 = a^2 + b^2
c^2 = 20^2 = 10^2 + (10sqrt(3))^2
400 = 100 + (100(3))
400 = 400
5 0
4 years ago
Use substitution to solve each system of equations. y = 4x + 22 4x – 6y = –32
bija089 [108]

Answer:

The answer is (-5,2)

Step-by-step explanation:

So we have 2 equations and we need to solve them by substitution.

1) y = 4x + 22

2) 4x – 6y = –32

Since we already have y isolated in equation #1, we'll use that value in equation #2:

4x - 6(4x + 22) = -32

4x - 24x - 132 = -32

-20x = 100

x = -5

Then we put that value of x in the first equation:

y = 4 (-5) + 22 = -20 + 22 = 2

The answer is then (-5,2)

8 0
3 years ago
Read 2 more answers
14
Leokris [45]

Step-by-step explanation:

total surface area of a cube = side × 6

25=side since all the sides of a cube are equal

25×6=

150cm

3 0
3 years ago
I need help please this not something I'm good at this is not my strong boat
aleksandrvk [35]
Intercepts are when one value is 0...like when x is 0, the point would be the y intercept....
x intercept is 4 
y intercept is 5

slope:  y2 - y1/x2 - x1
slope = 0 - 5/4 - 0
slope = -5/4

the for the equation plug in any points from the line.

y = mx + b
5 = -5/4(0) + b
5 = B

y = -5/4x + 5 is the equationh to the line
4 0
4 years ago
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