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3 years ago

Use the Pythagorean Theorem to find the missing length and then round the

Mathematics

1 answer:

babymother [125]3 years ago

6 0

3^2 + 4^2 = c^2

9 + 16 = 25

square root of 25 = 5

c = 5

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$5,000 is invested at 3% interest.

adell [148]

5000*0.03+0.05x=275
Solve for x
X=2500
The answer is b

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3 years ago

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In 1970, the average length of a major league baseball game was 150 minutes compared to 180 minutes in 2018. Calculate the absol

Pavlova-9 [17]

Answer:

30 min
20%

Step-by-step explanation:

The absolute change in game length is ...

(180 min) -(150 min) = 30 min . . . . change in game length

The relative change is expressed as a fraction of the original game length:

(30 min)/(150 min) × 100% = 20% . . . . relative change in game length

6 0

3 years ago

Is -1.125 a real number?

pochemuha

$-1.125=-1\frac{125}{1000}=-1\frac{1}{8}\ is\ real\ number$

7 0

3 years ago

Read 2 more answers

Plot the vertex and the axis of symmetry of this function on the provided graph. f(x) = (x + 2)2 − 6

Nookie1986 [14]

Answer:

See attached image

Step-by-step explanation:

This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.

The vertex coordinates are therefore: (-2,-6)

The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.

See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.

3 0

2 years ago

Find the perimeter of a polygon with vertices at A(0, 1), B(4, 4), C(7, 0), D(3, -3), E(-4, -4). Round your answer to the neares

wlad13 [49]

It's interesting that areas from coordinates are much simpler than perimeters from coordinates. It's almost like math is telling us area is more fundamental than length.

p = AB+BC+CD+DE+EA

We use the Pythagorean theorem, square root form, on all the sides. We can skip a lot of the square roots because most of these are the hypotenuse of a 3/4/5 right triangle.

B-A=(4-0, 4-1)=(4,3) so length AB=5

C-B=(7-4,0-4)=(3,-4), so again BC=5

D-C=(3-7, -3-0)=(-4,-3) so again CD=5

E-D=(-4-3, -4 - -3) = (-7, -1). Ends our streak. DE=√(7²+1²)=√50=5√2.

A-E=(0 - -4,1 - -4)=(4,5) so EA=√(4²+5²)=√41.

Three of five were 3/4/5.

p = 5+5+5+5√2+√41 = 15+5√2+√41

I hate to ruin a nice exact answer with an approximation.

p ≈ 28.474192049298324

Answer: 28.47, last choice

8 0

3 years ago