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Murljashka [212]
3 years ago
5

Are the given values in the table enough information to show an exponential function instead of a linear function? If not, expla

in why not then write the equations for both an exponential and linear function represented by the table.

Mathematics
1 answer:
baherus [9]3 years ago
3 0

Step-by-step explanation:

Are the given values in the table enough information to show an exponential function instead of a linear function? If not, explain why not then write the equations for both an exponential and linear function represented by the table.

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Please help with p and q<br> maths geometry
baherus [9]

Step-by-step explanation:

p)

in a very similar way, as the sum of all 4 angles in a triangle is always 180°, so is the sum of all angles in a quadrilateral (a polygon with 4 sides) 360°.

just look at rectangles at special representatives of such quadrilaterals.

now that we know this, we can simply say, the sum of all angles in our shape must be 360° :

(8x + 2) + (4x + 2) + (x - 2) + (5x -2) =

= 18x = 360

x = 20

A = 8×20 + 2 = 162°

B = 4×20 + 2 = 82°

C = 5×20 - 2 = 98°

D = 20 - 2 = 18°

a trapezium has the following properties (in the UK):

like other quadrilaterals, the sum of all the four angles of the trapezium is equal to 360°.

a trapezium has two parallel sides and two non-parallel sides.

the diagonals of a regular trapezium bisect each other.

in the USA for example the request for 2 parallel sides does not exist.

we have proven the point with the angle sum.

the other 2 are given by the diagram.

so, yes, it is a trapezium.

q)

the sum of all interior angles of a polygon is

(n - 2) × 180°

n being the number of d sides.

we have here a regular pentagon (5 equal sides).

the size of the angle at any vertex is then

(5 - 2) × 180 / 5 = 3 × 180 / 5 = 3×36 = 108°.

so, theta = 108°.

alpha + beta = 108°

ABE is an isoceles triangle.

so, beta = angle 1

beta + angle 1 + theta = 180

2×beta + 108 = 180

2×beta = 72

beta = 36°

therefore,

alpha = 108 - beta = 108 - 36 = 72°

4 0
1 year ago
Why does one of the ratios in a percent proportion always have a denominator of 100?
zzz [600]

Answer:

Ratios in a percent proportion always have a denominator of 100 because 100 % is the whole

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
-194+4x=76-11x<br><img src="https://tex.z-dn.net/?f=%20-%20194%20%2B%204x%20%3D%2076%20-%2011x" id="TexFormula1" title=" - 194 +
Yuki888 [10]

(x ) = (18)
x=226
x =  \frac{226}{4 - e}
6 0
3 years ago
There are ​$528 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs ​$9 per
andrew-mc [135]

Answer:

  22 ft by 44 ft, with 22 ft parallel to the road

Step-by-step explanation:

Problems in optimizing rectangular area for a given perimeter or perimeter cost all have a similar solution: the length (or cost) of one pair of opposite sides is equal to that of the other pair of opposite sides.

Here, that means that the sides perpendicular to the road will have a total cost of $528/2 = $264, so will have a total length of $264/($3/ft) = 88 ft. Since it is a rectangle, the dimension perpendicular to the road is 44 ft.

Likewise, the sides parallel to the road will have a total cost of $264. If x is the length in that direction, this means ...

  9x +3x = 264

  12x = 264

  264/12 = x = 22

The length of the garden parallel to the road is 22 ft.

_____

If you solve this directly, you get the same result. Let x be the distance parallel to the road. Then the cost of fence for the two sides parallel to the road is (3x +9x) = 12x.

The length of fence perpendicular to the road will use the remaining cost, so that length will be (528 -12x)/(2·3). (Half of the remaining fence is used on each of the two parallel sides.) This expression for length simplifies to (88-2x).

Then the area of the garden will be the product of its length and width:

  area = x(88 -2x)

This is the equation for a downward-opening parabola with zeros at x=0 and x=44. The vertex is located halfway between those zeros, at x = 22.

The dimensions of the largest garden are 22 ft parallel to the road and 44 ft perpendicular to the road.

8 0
2 years ago
Ken went to the store for his mother. He spent $2.37 on groceries. In addition, his mother said he could spend 35¢ on candy. Wha
maks197457 [2]
You can calculate this with just one expression:  $5.00 - ($2.37+$0.35).

This is the amount of change he will take home.

3 0
3 years ago
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