Please help quickly!!!

Find the value of x. Write your answer in simplest form.

Hey there!

The length of the hypotenuse is about 11 centimeters.

To solve this, we use the formula [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse leg and [tex]a[/tex] and [tex]b[/tex] are the other sides. So we can plug the numbers in to the formula:

[tex]5^2 + 10^2 = c^2[/tex]

Now we get the squares of 5 and 10:

[tex]25 + 100 = c^2[/tex]

Add 25 and 100:

[tex]125 = c^2[/tex]

Take the square root from both sides:

[tex]11.18033... = c[/tex]

The length of the hypotenuse is about 11 centimeters.

Hope it helps and have an amazing day!

The length of Hypotenuse = 11.18 cm

In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

Given,

In right angle ΔABC

AB = 5 cm

BC = 10 cm

AC = ?

By the Pythagoras theorem,

AC² = AB² + BC²

AC² = 5² + 10²

AC² = 25 + 125

AC = √125 = 11.18

Hence, 11.18 cm is the length of Hypotenuse AC .

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Answer:

Step-by-step explanation:

Glacier National park has the area in year 2007 = 142 acres

It's shrinking at a rate = 4.4% per year

a). Since, shrink in the size of the glacier is an exponential process,  

    Therefore, formula for the size of the glacier in 'n' years,

    A = 142(1 - 0.044)ⁿ

    A = 142(0.956)ⁿ

b). Difference between year 2007 and 2020 = 13 years

    By substituting n = 13 years in the formula,

    A = 142(0.956)¹³

        = 79.11 acres

    Therefore, size of the glacier in year 2020 = 79.11 acres

c). Difference between year 2007 and 2010 = 3 years

    By substituting n = 3 years in the formula,

    A = 142(0.956)³

    A = 124.07 acres

    Loss of the ice from the glacier = 142 - 124.07

                                                         = 17.93 acres

    Therefore, loss of the ice from the glacier in 3 years = 17.93 acres

Answer:

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

plug in both values into the equations, and whichever one works for both is the right answer

the required equation is, D. y= x+6

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-2,4) and, (2,8)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y-4)/(x+2)=(8-4)/(2+2)

=>y-4=x+2

=>y=x+6

Hence, the required equation is, D. y= x+6

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Answer:

46

Step-by-step explanation:

First you need to solve.. So put 3x - 10 and 2x + 1 together as one equation.

It should look like this:

3x - 10 = 2x + 1

Now you just need to solve it.

1) First you add 10 on both sides.

3x - 10 = 2x + 1

   + 10 =    + 10

------------------------

     3x = 2x + 11

2) Then you subtract 2x on both sides.

     3x = 2x + 11

   - 2x =- 2x + 11

-------------------------

      x = 11

3) Now you plug in 11 for x.

3x - 10 = 2x + 1

Like this:

3(11) - 10 = 2(11) + 1

33 - 10 = 22 + 1

23 =23

So C to E and E to A = 23

To get from C to A just add 23 + 23 which is 46. And that is ur answer.

Answer:

it is 46

Step-by-step explanation:

First you need to solve.. So put 3x - 10 and 2x + 1 together as one equation.

It should look like this:

3x - 10 = 2x + 1

Now you just need to solve it.

1) First you add 10 on both sides.

3x - 10 = 2x + 1

  + 10 =    + 10

------------------------

    3x = 2x + 11

2) Then you subtract 2x on both sides.

    3x = 2x + 11

  - 2x =- 2x + 11

-------------------------

     x = 11

3) Now you plug in 11 for x.

3x - 10 = 2x + 1

Like this:

3(11) - 10 = 2(11) + 1

33 - 10 = 22 + 1

23 =23

So C to E and E to A = 23

To get from C to A just add 23 + 23 which is 46. And that is ur answer.

you can slove this in this way if want more explansion ask me

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

UT is shorter than WT, therefore you cannot use it on this triangle.

I am joyous to assist you at any time.

Answer:

(-1,1)

Step-by-step explanation:

4x+2x+3=-3

6x+3=-3

6x=-6

x=-1

y=2(-1)+3

y=-2+3

y=1

Answer:

y = -4x - 3

Step-by-step explanation:

The b in the slope-intercept equation represents the y-intercept.

The line crosses the y-axis at (0,-3). Therefore, b = -3.

Since the line is decreasing from left to right, the slope will be negative.

From (0,-3) to the next point on the line is down 4 units and to the right 1 unit.

The slope will be -4/1 or -4.

Therefore, the equation of the line will be y = -4x - 3.

Hope that helps.

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Step-by-step explanation:

the answer would be

4

2

1

3

5

Answer: 4.5 cups

Step-by-step explanation:

2:10

4:20

half of a cup would be 5 pancakes

so, 4.5 cups of flour will make 25 pancakes.

Answer:

if it's out of 100 it would be 55

Step-by-step explanation:

Answer:

D 55%

Step-by-step explanation:

I am assuming that the "45" is 45$ so then we do 100%-45$=55% But, if the "45" is 1 in 45, then the answer is 1-1/45=44/45 which rounds to 98%. That isn't any of the answers, so should be 55%

Answer:

b.12

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    [tex]S = (n - 2)180[/tex]

S is the sum of all interior angle measures

n is the number of sides of the polygon

2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> [tex]S = (7-2)180[/tex]

---> (7-2) is 5 since 7 - 2 = 5 so --> [tex]S = 5(180)[/tex]

---> 5(180) is the same as 5 x 180 which is 900 so --> [tex]S = 900[/tex]

This means that the sum of all interior angles is 900 degrees.

3) Now, we have to find out the sum of all the angles that they gave us so:

---> [tex]10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 900[/tex]

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

4) We have to combine all like terms on the left side:

---> [tex]10x + 10x + 9x + 12x + 10x = 51x[/tex]

---> [tex]9 + 133 + 14 -9+5+136 = 288[/tex]    

5) This means that ---> [tex]51x + 288 = 900[/tex]

Subtract 288 from both sides  and get:

---> [tex]51x = 612[/tex]    (900-288 = 612)

Then divide by 51 from both sides and get:

---> [tex]x = 12[/tex]     (612 ÷ 51 = 12)

Therefore b.12 is your answer.

Hope you understood and have a nice day!! :D

Answer:

y-intercept = 1

Slope = 4

Step-by-step explanation:

First, we know that the point-slope equation of a line is given as y = mx + b. Where,

m is the slope, and

b is the y-intercept.

Now let's use this knowledge to solve the given problem.

✔️y-intercept of the equation, y = -2x + 1, would be what? What does b (y-intercept) represented by in the equation?

Our answer is "1".

y-intercept = 1

✔️Slope of y = 4x - 3:

The slope (m) in this equation is 4.

Answer:

It is 4/5

Step-by-step explanation:

hope it helps ^^

Answer:

$98.07

Step-by-step explanation:

Divide 237 by 290 to get the unit price of each meatball

237 / 290 = 0.8172413793

Multiply 0.8172413793 by 120 to get the total cost to make the meatballs

0.8172413793 * 120 = 98.068965516

Round that number to the nearest hundredth

Answer: $98.07

Answer: Brazil produces 9,428,400 sugar.

Step-by-step explanation:

That is the answer because 9.7% of 97,200,000 is 9,428,400.

Answer:

D

Step-by-step explanation:

The distribution is approximately normal, and the mean is 0.46.

Answer:

³/2 (1.5)

Step-by-step explanation:

∆DEF was enlarged to get ∆ABC. The scale factor would be:

The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.

Thus,

BC:EF = 12:8

= 12/8

= 3/2 = 1.5

Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5

Answer:

c. 12x

Step-by-step explanation:

Answer:

daaaaaaaaaa

Step-by-step explanation:

ssdddsss

Answer:

That is, two objects are congruent if we can move one of the objects, without changing its shape or size, in such a way that it fits exactly over the other image, and we call these movements congruence transformations.

Answer:

19. w * 32

20. p / 41

Step-by-step explanation:

Product is multiplication, divided by is division.

Make sure you pay attention to what the problem says, because multiplication terms can be moved around, but division has to go a certain way.

p / 41

is not the same as

41 / p

however

w * 32

is the same thing as

32 * w

Answer:

the volume will be doubled if the height is doubled

hope it helps you

Answer: 63

Step-by-step explanation:

Add the two numbers you have then subtract from 180 because a triangle is 180 degrees

Answer:22.2%

thank me later

Answer:

x ∈ [-0.369, 0.678]

Step-by-step explanation:

To prove - [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x

As given , f(x) = [tex]\sqrt[4]{1 + 2x}[/tex]

As we know that the linear approximation can be defined as :

L(x) = f(a) + f'(a)(x-a)             .........(1)

Now,

We have to show that at a = 0 , equation (1) satisfies

Now,

f(0) = [tex]\sqrt[4]{1 + 0}[/tex] = 1

Also,

f'(x) =

[tex]\frac{d}{dx} (\sqrt[4]{1 + 2x} ) = \frac{1}{4}(1 + 2x)^{\frac{1}{4} - 1}\frac{d}{dx}(1 + 2x) ) \\ = \frac{1}{4}(1 + 2x)^{\frac{-3}{4} } (2)\\ = \frac{1}{2}(1 + 2x)^{\frac{-3}{4} }\\[/tex]

∴ we get

f'(x) = [tex]\frac{1}{2}(1 + 2x)^{-\frac{3}{4} }[/tex]

⇒f'(0) = [tex]\frac{1}{2}[/tex]

Now, equation (1) becomes

L(x) = f(0) + f'(0)(x-0)

     = 1 + [tex]\frac{1}{2}[/tex] (x)

⇒ [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x

Hence verified.

Now,

|[tex]\sqrt[4]{1 + 2x}[/tex] - (1 + [tex]\frac{1}{2}[/tex] x ) | ≤ 0.1

⇒ -0.36893 ≤ x ≤ 0.67766

⇒x ∈ [-0.369, 0.678]