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Paul [167]
3 years ago
5

Find the value of x using the diagram below. Round to the nearest whole number. Picture Attached.

Mathematics
2 answers:
Kryger [21]3 years ago
6 0
So
remember pythagorean therem
if the legs are length a and b and the hyptonuse is c then
a²+b²=c²

also, special right triangle
in 45-45-90 triangle (the inside angle measures are 45 deg, 45 deg, 90 deg, )
if the 2 legs are x then the hytponuse is x√2



so


see the 45 45 90 triangle first
it is a leg of 14
so the hytponuse is 14√2
which is the leg of the larger right triangle


so
te larger one
one leg is 25
the other is 14√2
the hytponuse is x
so

25²+(14√2)²=x²
625+392=x²
1017=x²
sqrt both sides
31.890437438203948223997365744788=x
round
32=x
so 2nd option
VashaNatasha [74]3 years ago
4 0
Both triangles are right triangles. x is the hypotenuse of the upper one. ThePythagorean formula  will give the value of x. One side is known, The other side we will find using the fact that the lower right triangle is isosceles. The hypotenuse of an isosceles right triangle has a length of \sqrt{2} times the length of one of the legs. In this case 14. So the hypotenuse of the lower triangle is also the short side of the upper triangle. Using Pythagoras

25^{2} +  (14 \sqrt{2}) ^{2} = x^{2}

625 + 392 =  x^{2}

 1017 =  x^{2}

32 = x

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Let f(x)= lxl-3 Write a function g whose graph is a translation 5 units down of the graph of f.
soldier1979 [14.2K]

If the function "f(x) = lxl-3" were translated five units down the graph, g(x) would be lxl-8.

We must be familiar with function transformation and different forms of transformation in order to properly understand the question. When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects" to create a new function. For instance, by simply pushing the graph of the function g(x) = x2 up by 7 units, the graph of the function f(x) = x2 + 7 is generated. It is advantageous to convert a function since it saves us from having to create a new function from begin. Function transformations typically fall into one of three categories: 1. 2nd translation 3. dilation Reflection

The given query is about Translation of Function. To create a new function, translation moves the curve up or down and modifies its position. Translation comes in two flavours. Vertical and horizontal translation.

When the curve changes, "the function" shifts upward or downward. By doing this, a function of the form y = f(x) is transformed into f(x) ± k, where k stands for the vertical translation. In this case, the function moves up by k units if k > 0.

The function goes down by 'k' units if k < 0.

The curve in the given problem goes down by 5 units, so k = 5. Which is a vertical translation scenario. Consequently, y = f(x) becomes f(x) - k = g(x) and g(x) = f(x) - k = lxl-3 -5 = lxl - 8.

Therefore the new function after translation is g(x) =  lxl - 8.

Learn more about function and types of transformation such as translation, dilation etc here

brainly.com/question/26092237

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4 0
1 year ago
A vat of milk has spilled on a tile floor. The milk flow can be expressed with the function r(t) = 4t, where t represents time i
Likurg_2 [28]
R(t) = 4t
A(r) = π(r^2)

a) A(t) = A[r(t)] = π[r(t)]^2 = π[4t]^2 = 16π(t^2)

b) t = 4,

A(4) = 16*3.14*(16)^2 = 12,861.44
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For each value of y, determine whether it is a solution to 12 = 2y +8.<br> Is it a solution
grin007 [14]

Answer: 2(0) + 8 does not equal 12, not a solution.

2(2) +8 = 12 yes it is a solution

2(-3) + 8 does not equal 12, not a solution

2(5) + 8 does not equal 12, not a solution.

Step-by-step explanation:

Looks like you need to plug in each y value given and multiplied by 2 and add 8

2(0) + 8 does not equal 12, not a solution.

2(2) +8 = 12 yes it is a solution

2(-3) + 8 does not equal 12, not a solution

2(5) + 8 does not equal 12, not a solution.

3 0
4 years ago
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erik [133]

Answer:

the relationship between fractions, decimals and percents is that they are just different numerical expressions of the same value.

Step-by-step explanation:

For example, 50% = \frac{50}{100} = 0.50

5 0
4 years ago
What Are Some Great Algebra 1 Math source i can use for 9th grade math​
stepan [7]

Answer:

Khan Academy is a great website for Algebra l math

If you have the time and money Kumon is a good in-person learning assistance (I-H level is about algebra I)

Step-by-step explanation:

4 0
3 years ago
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