60 yd
63 yd
What is the length of the hypotenuse?

We know that,

In a right-angled triangle,

Hypotenuse ² = Base ² + Height ²

1 – 10 ² = 6 ² + X ²

Or, X ² = 10 ² – 6 ²

Or, X ² = 100 – 36

Or, X ² = 64

Or, X = √ 64

Or, X = 8 Units

2– X² = 7² + 3²

Or, X² = 49 + 9

Or, X² = 58

Or, X = √58

Or, X = 7.61 Units ( Approx )

3 – 15 ² = EF ² + 9

Or, EF² = 15 ² – 9 ²

Or, EF ² = 225 – 91

Or, EF ² = 134

Or, EF = √ 134

Or, EF = 11.6 Inches ( Approx)

.II} 1 – Here the length of the ladder will be the hypotenuse.

Hence, Hypotenuse = 13 Metre

.Now, The vertical wall will be the height.

Hence, Height = 12 Metre

Distance of the foot of the ladder to the wall will be the base.

Let base be B.

Now, Hypotenuse ² = Base ² + Height ²

Or, 13² = B² + 12²

Or, B² = 13² – 12²

Or, B² = 169 – 144

Or, B² = 25

Or, B = √25

Or, B = 5 Metre

Hence, the distance of the foot of the ladder from the wall is 5 metre apart.

Answer:

6.21 is the radius I believe

Step-by-step explanation:

Answer:

It would be 11.

Step-by-step explanation:

The equation for the surface area of a sphere is 4πr^2, so lets reduce the answer to get the value of r, the radius.

484π = 4πr^2

Divide by π

484 = 4r^2

Divide by 4

121 = r^2

Lastly, square root each side

11 = r

r is 11.

Answer: here’s your answer

Step-by-step explanation:

Answer:

f(x)+ g(x) = [tex]-2x^{4} + 6x^{3} +8x^{2} -8x+3[/tex]

Step-by-step explanation:

You just have to add the like terms separately,

5-7 in [tex]x^{4}[/tex]

only 6 in [tex]x^{3}[/tex]

10-2 in[tex]x^{2}[/tex]

-8 in x

and 3 as the constant

Answer:

160 unit^2.

Step-by-step explanation:

Area = xy/2 where x and y are the length of the diagonals, so here:

Area = (16*20)/2

= 320/2

= 160.

Answer:

+ or - 0.044

Step-by-step explanation:

The margin of error is 0.044.

A Margin of Error is defined as the results will vary from the actual population value by how many percentage points, as indicated by the margin of error.

The margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

To determine a margin of error for a sample proportion,

Where n is the sample size and is the sample proportion, these assumptions must be true.

n t ≥ 10

n(1 - t) ≥ 10

Write the proportion of lead to significant as a decimal number first,

42%

= 0.42

Now substitute the sample proportion and the sample size, 479, the assumptions are inserted into the equations to see if they are satisfied.

⇒(479X0.42) 201.18

⇒ (479)(1 − 0.42)

⇒  277.82

Both values are greater than 10, so the assumptions are satisfied, and the margin of error can be calculated.

Determine the margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

For a 95% confidence level, z = 1.96.

Substitute the values of z, n, and T into the formula for margin of error and evaluate.

[tex]ME = 1.96\sqrt{\dfrac{0.42(1 - (10.42)}{479} }[/tex]

ME ≈ 0.044

Hence, the margin of error is 0.044.

Learn more about margin of error here:

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Answer:

Dimitri's will have 3547.8 more than Briana

Step-by-step explanation:

but If your asking how much more she will have she won't but if you have to put something out -3547.8 hope this helps

The answer is D. 20 units

Answer:

20 units

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i have had this before

Answer:

th answer would be 20.8 :)

Step-by-step explanation:

lmk if this helps <33

Answer:

(6,-3)

or

x=6 y= -3

Step-by-step explanation:

Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable

What we can do is mulitply an equation to make the above true

let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)

So our new first equation is

1.5(3x+2y)=12*1.5

which simplifies to

4.5x+3y=18

We then add the two equatiosn

(4.5x+3y)+(2x-3y)=18+21

6.5x=39

x=6

Now that we know x we can plug that in and solve for y

3(6)+2y=12

18+2y=12

-6=2y

y= -3

Answer:

4^8.

Step-by-step explanation:

4^6 ÷ 4^-2     when dividing we subtract exponents , so we have:

4^(6- (-2))

= 4^8.

Answer:

i couldn't atatch it onto here but you can down load it here

Step-by-step explanation:  

Answer:

4 and 5/29

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

You add the marbles up and you get 24, now divide by 8 and you get 3. Which is equal to a 1/3 chance of getting the green marble.

Answer:

96

Step-by-step explanation:

Total area = area of cube + area of triangle

A = 8² +  = 64 + 32 = 96 in

Answer:

13 chairs in each row

Step-by-step explanation:

divide 65 by 5 to get 13

Answer: 13

Step-by-step explanation: 65 divided by 5

Answer:

46.1 in

Step-by-step explanation:

Given data

Width= 30in

Height= 35in

To find the diagonal, we have to use the Pythagoras theorem

z^2= x^2+y^2

z^2= 30^2+ 35^2

z^2= 900+1225

z^2= 2125

z= √2125

z= 46.09

Hence the diagonal of the TV is 46.1 in

The volume of a cone is three times the volume of a cylinder with the same base and height.

Step-by-step explanation:

the volume of a cone is equal toone-third of the volume of a cylinderhaving the same base radius and height

Answer:

1/6

Step-by-step explanation:

Firstly, Pr(e) = n(e)/Total outcome

Pr(2) = 1/3

Pr(1) = 1/2

Pr(1 and 2) = 1/3 * 1/2 = 1/6

Answer:

A. 2 cm long

Step-by-step explanation:

The there would be more squares cut out, the squares are smaller and its all even

Answer:

Step-by-step explanation:

A)  4+15=19 total 2cm squares

B) 4 + 3 = 7 total 3cm squares

C) 1 + 2 = 3 total 4cm squares

Answer:

4

4in

Step-by-step explanation:

what grade lvl is this???

Have a nice day! :-)

Answer:

(-4,3)

Step-by-step explanation:

I used photo math

Answer:

Option G: 27 inches.

Step-by-step explanation:

When we have a trapezoid with bases:

B₁ and B₂, the median of the trapezoid can be calculated as:

M = (B₁ + B₂)/2

In this case, we know that the bases are:

B₁ = 30 in

B₂ = 24 in

Then the median is:

M = (30in + 24in)/2 = 54in/2 = 27in

The correct option is G.

Answer:

-5 Faces

-10 Edges

-6 Vertices

Step-by-step explanation:

Folded out there are 3 rectangles and 2 triangles, 5 faces

Count the straight lines, no dotted, it's 10 edges

Count the corners only and the top of the triangles 6 vertices

Answer:

Step-by-step explanation:

tan 45=1/1=1

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle, the value of tan45 is 1.

The 45-45-90 triangle is also an isosceles triangle, which means its two legs are equal in length.

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle.

The side lengths of a 45-45-90 triangle are in the ratio 1: 1: [tex]\sqrt{2}[/tex].

The value of tan45 is given by the following formula;

[tex]\rm Tan 45 = \dfrac{Perpendicular}{Base}\\\\Tan45=\dfrac{1}{1}\\\\Tan45=1[/tex]

Hence, the value of tan45 is 1.

Learn more about trigonometry here;

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