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djverab [1.8K]
3 years ago
6

Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0

Answer:

x = 6

y = 45 degrees

Step-by-step explanation:

Here, we want to get the measure of x and y

For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees

This mean y is 45

To get x, we know we have an isosceles triangle

So the length of the third ungiven leg is x too

Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides

(6 √2)^2 = x^2 + x^2

72 = 2x^2

x^2 = 72/2

x^2 = 36

x = √36

x = 6

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Suppose that an object whose is 10th weighs 50 N find the weight of an object whose is 6 kg
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Weight is another term for the force from mass multiplied by acceleration due to gravity, the equation being expressed as f = ma, being force, mass, and acceleration respectively.

We already have 2 parts of the equation,50 = 10a 

Acceleration due to gravity on the planet is 5 m/s^2

Plug it into the equation f = ma

f=6kg x 5m/s^2

Weight or force from gravity is 60N.

8 0
3 years ago
Someone pls help me I turn this in today the answer is there I just need to show work pls help me​
dolphi86 [110]

Hello and Good Morning/Afternoon

<u>Let's tale this problem step-by-step</u>:

<u>What does the problem want:</u>

 \hookrightarrow \text{the unemployment compensation}

<u>Employment compensation</u> =55% of the average of the last 26-week salary

  \hookrightarrow \text{Average of Natalia's salary} = (\text{all the salaries added up}) / (\text{number of weeks})\\\hookrightarrow \text{Average of Natalia's salary} = 18940 / 26 = 728.46 \text{ (Rounded down)}

         ⇒ 55% of that average

                \hookrightarrow \frac{55}{100} *728.46 = 400.65

<u>Answer: $400.65</u>

Hope that helps!

#LearnwithBrainly

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2 years ago
Maths equation need help please
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Answer:

I FIGURED IT OUT!

Step-by-step explanation:

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How to calculate slope?
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3 years ago
In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the<br> function with its graph
MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

f(x)=(x-2)^{2}+1

45)

The function g(x) is given by:

g(x)=f(x-1)

using f(x) we can find f(x-1)

g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

g(x)'=2(x-3)

2(x-3)=0

x=3

Puting it on g(x) we will get y value.

y=g(3)=(3-3)^{2}+1

y=g(3)=1

<u>Then, the minimum point of this function is (3,1) and it corresponds to (A)</u>

46)

Let's use the same method here.

g(x)=f(x+2)

g(x)=((x+2)-2)^{2}+1

g(x)=(x)^{2}+1

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2x

0=2x

x=0

Evaluatinf g(x) at this value of x we have:

g(0)=(x)^{2}+1

g(0)=1

<u>Then, the minimum point of this function is (0,1) and it corresponds to (C)</u>

47)

Let's use the same method here.

g(x)=f(x)+2

g(x)=(x-2)^{2}+1+2

g(x)=(x-2)^{2}+3

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2(x-2)

0=2(x-2)

x=2

Evaluatinf g(x) at this value of x we have:

g(2)=(2-2)^{2}+3

g(2)=3

<u>Then, the minimum point of this function is (2,3) and it corresponds to (B)</u>

48)

Let's use the same method here.

g(x)=f(x)-3

g(x)=(x-2)^{2}+1-3

g(x)=(x-2)^{2}-2

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2(x-2)

0=2(x-2)

x=2

Evaluatinf g(x) at this value of x we have:

g(2)=(2-2)^{2}-2

g(2)=-2

<u>Then, the minimum point of this function is (2,-2) and it corresponds to (D)</u>

<u />

I hope it helps you!

<u />

8 0
3 years ago
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