All categories

2 years ago

HELP!! I desperately need help!! I would appreciate if you could show work please!!!

Mathematics

1 answer:

zzz [600]2 years ago

7 0

Answer:

a) 137.9°

b) 12.2° (please refer to explanation because I didn't know what to round to)

Step-by-step explanation:

1a) A supplementary angle will equal 180°, so you must subtract 42.1 from 180

180-42.1 = 137.9

1b) A complementary angle will equal 90°, so you need to use the expression given and add an x for the other part of 90°

8x-20+x = 90

9x-20=90

9x=110

x=12.2

You might be interested in

The farmer's market sells fruit baskets. Each basket contains 12 apples and 4 pears. Use a to represent the cost of each apple a

romanna [79]

Answer:

a) a x 12

b) p x 4

c) (a x 12) + (p x 4)

Step-by-step explanation:

These are the answers because:

1) Since a is representing the cost of each apple, we have to multiply the a with 12.

2) Since p is representing the cost of each pear, we have to multiply the p with 4.

3) Finally, for c, each basket contains 12 apples and 4 pears. Therefore, we just use our eautions from before and add them which will give you the total cost of one basket.

Hope this helps! :D

7 0

2 years ago

What is the value of X to the nearest tenth?

Dennis_Churaev [7]

The answer to your question is 21.5

8 0

3 years ago

A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?

Sladkaya [172]

Answer:

36 tiles

Step-by-step explanation:

Because the room is square, the numbers of tiles along the edge of the room were multiplied by the same number, meaning that:

81 = x²

So to find x, we must square root both sides of the equation:

$\sqrt{81} = \sqrt{x^2}$

x = 9

So the length of one side is 9 tiles. Now to calculate the circumference, as each side of a square is the same length, we can multiply this number by 4:

9 * 4 = 36

So there are 36 tiles along the edge of the room.

Hope this helps!

4 0

2 years ago

Solve the exponential equation. 8x = 1/4 -2 -2/3 2/3

Karolina [17]

Answer:

$\large\boxed{x=-\dfrac{2}{3}}$

Step-by-step explanation:

$8^x=\dfrac{1}{4}\\==============\\\\8=2^3\\\\\dfrac{1}{4}=\dfrac{1}{2^2}=2^{-2}\\\\===============\\\\(2^3)^x=2^{-2}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3x}=2^{-2}\iff3x=-2\qquad\text{divide both sides by 3}\\\\x=-\dfrac{2}{3}$

5 0

2 years ago

Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3). Find the coordinates of G.

Olin [163]

Answer:

Coordinates of G = $(2,0)$

Step-by-step explanation:

Given: Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3).

To find: coordinates of G

Solution:

Midpoints of a side joining points $(a,b),\,(c,d)$ are given by $(\frac{a+c}{2},\frac{b+d}{2})$

Diagonals of a parallelogram bisect each other.

So,

Midpoint of DF = Midpoint of EG

Midpoint of DF = $(\frac{-4+3}{2},\frac{-2+3}{2})=(\frac{-1}{2},\frac{1}{2})$

Midpoint of EG = $(\frac{-3+x}{2},\frac{1+y}{2})$

Let coordinates of G be $(x,y)$

Therefore,

$(\frac{-1}{2},\frac{1}{2}) =(\frac{-3+x}{2},\frac{1+y}{2})\\\\\frac{-1}{2}=\frac{-3+x}{2},\,\frac{1}{2}=\frac{1+y}{2}\\\\-1=-3+x,\,1=1+y\\\\x=-1+3,\,y=1-1\\x=2,\,y=0$

So,

Coordinates of G = $(2,0)$

8 0

2 years ago