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ValentinkaMS [17]
3 years ago
11

Find the length of “b”, to the nearest tenth, using the Pythagorean Theorem.

Mathematics
2 answers:
julia-pushkina [17]3 years ago
7 0

Answer:

b = square root of 125

Put into calculator and put to 1dp

Step-by-step explanation:

Pythagorean theorem is

a^2 + b^2 = c^2

The a and b are the two short sides and c is always the hypotenuse

We just put the numbers in

10^2 + b^2 = 15^2

Now we can rearrange so that b^2 is by its self on the left side

b^2 = 15^2 - 10^2

Now just solve by putting into calculator

b^2 = 125

And finally square root to get b^2 down to b

b = square root of 125

Put into calculator and put to 1dp

Tresset [83]3 years ago
3 0

Answer: b= 11.2

10^2 + b^2 = 15^2

100 + b^2 =  225

b^2 = 125

b= \sqrt{125}

b= 11.2

Step-by-step explanation:

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From the above graph we can see that from day 14 to day 35 , it is a straight line.

And equation of a straight line is   y = mx + c  or   y – y1 = m(x – x1)

                               Where, m =slope of the line

                                             c = intercept

the equation can be rewritten as  h – h1  = m(t – t1)                    (1)

So, to find the equation of line , first we will calculate the slope of the line.

To find the slope : m = (h2 – h1 ) / (t2 – t1)                     (2)

From the graph and the table given, the coordinates (t1 , h1 ) and ( t2 , h2 ) are (14 , 36.6) and (35, 131) respectively.

Putting these values in equation (2), we get

                 m = (131 – 36.6)/(35 – 14)

                 m =  94.4/21

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now to find the equation of line we put the values in equation (1), we get

h – 36.6 = 4.5(t – 14)

h – 36.6 = 4.5t – 63

h = 4.5t -63 + 36.6

h = 4.5t -27

Hence the equation of the line is ,   option B) h = 4.5t -27

Learn more about the straight line here : brainly.com/question/6977417

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5 2/7+1 2/7 as a mixed number in simplest form
marusya05 [52]

Answer:

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Step-by-step explanation:

I personally break it down like this:

Is 2 greater than 7? No so that means the whole number would stay 5.

Same for the other number. Then add the whole numbers attached to the fraction. Which is 6. Then go to the fraction. 2/7 + 2/7 is 4/7. This cannot be simplified anyfurther.

5 0
2 years ago
Read 2 more answers
What is V125 in simplest form?
kvv77 [185]

Answer:

5\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab} , then

\sqrt{125}

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= \sqrt{25} × \sqrt{5}

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6 0
3 years ago
Carlos performed a transformation on trapezoid EFGH to create E′F′G′H′, as shown in the figure below:
Nataliya [291]

Answer:

90° clockwise rotation or 270° anticlockwise rotation

Step-by-step explanation:

(x,y)=(y,-x)

<em>E(-6,-4)=E'(-4,6)</em>

<em>F(-4,-4)=F'(-4,4)</em>

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Therefore, E prime is (-4,6), F prime is (-4,4), G prime is (-6,2) and H prime is (-7,7).

4 0
1 year ago
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