All categories

3 years ago

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

You might be interested in

Suppose that an object whose is 10th weighs 50 N find the weight of an object whose is 6 kg

Nady [450]

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

Let's tale this problem step-by-step:

What does the problem want:

$\hookrightarrow \text{the unemployment compensation}$

Employment compensation =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

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

Answer: $400.65

Hope that helps!

#LearnwithBrainly

5 0

2 years ago

Maths equation need help please

Olin [163]

Answer:

I FIGURED IT OUT!

Step-by-step explanation:

a = 3

b = 3

c = 5

d = 2

give me brainliest

7 0

2 years ago

How to calculate slope?

LUCKY_DIMON [66]

Answer:

Rise/run rise over run

Step-by-step explanation:

y2-y1/x2-x1

7 0

3 years ago

In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the 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.

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

$y=g(3)=1$

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

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:

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

$g(0)=1$

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

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:

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

$g(2)=3$

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

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:

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

$g(2)=-2$

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

I hope it helps you!

8 0

3 years ago