MATHEMATICS HIGH SCHOOL

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Answer 1

Answer:

c1) adjacent

c2) not adjacent

c3) adjacent

c4) not adjacent

c5) adjacent

c6) not adjacent

d1) 20°

Complement: 90° - 20° = 80°

Supplement: 180° - 20° = 160°

d2) 77°

Complement: 90° - 77° = 13°

Supplement: 180° - 77° = 103°

d3) 101°

Complement: doesn't have a complement.

Supplement: 180° - 101° = 79°

d4) 90°

Complement: 90° - 90° = 0°

Supplement: 180° - 90° = 90°

d5) 96°

Complement: doesn't have a complement

Supplement: 180° - 96° = 84°

d6) x

Complement: 90° - x

Supplement: 180° - x

d7) y

Complement: 90° - y

Supplement: 180° - y

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Find the value of x that makes the equation true.9x = –54 A.6 B.–9 C.–6 D.–54
if the perimeter of the rectangle is 96 feet, what are the length and width of the rectangular section?
Graph x2 + y2 = 9. What are its lines of symmetry?
Find the mean of the numbers 10, 11, 12, 14, 12, 11, 13, 12, 14, and 11.

Find b, given that a = 18.2, B = 62°, and C = 48°. Round answers to the nearest whole number. Do not use a decimal point or extra spaces in the answer or it will be marked incorrect.

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Answer:

Step-by-step explanation:

We have been given that in triangle ABC, measure of angle B is 62 degrees and measure of angle C is 48 degrees. The length of side opposite to angle a is 18.2. We are asked to find length of side b.

We will use law of sines to solve for side b.

$\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}$

$m\angle A+m\angle B+m\angle C=180^(\circ)\n\nm\angle A+62^(\circ)+48^(\circ)=180^(\circ)$

$m\angle A+110^(\circ)=180^(\circ)$

$m\angle A+110^(\circ)-110^(\circ)=180^(\circ)-110^(\circ)$

$m\angle A=70^(\circ)$

Upon substituting our given values, we will get:

$\frac{18.2}{\text{sin}(70^(\circ))}=\frac{b}{\text{sin}(62^(\circ))}$

$\frac{18.2}{\text{sin}(70^(\circ))}*\text{sin}(62^(\circ))=\frac{b}{\text{sin}(62^(\circ))}*\text{sin}(62^(\circ))$

$\frac{18.2}{\text{sin}(70^(\circ))}*\text{sin}(62^(\circ))=b$

$b=\frac{18.2}{\text{sin}(70^(\circ))}*\text{sin}(62^(\circ))$

$b=(18.2)/(0.939692620786)*0.882947592859$

$b=19.1551999*0.882947592859$

$b=16.9130376$

$b\approx 17$

Therefore, the length of side b is 17 units.

The sum of two numbers is 42. one number is 2 times as large as the other. what are the numbers?

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$x-the\ number\ \#2\n2x-the\ number\ \#1\n\nx+2x=42\n3x=42\ \ \ \ |divide\ both\ sides\ by\ 3\nx=14\n\nAnswer:\nthe\ number\ \#1:2\cdot14=\boxed{28}\nthe\ number\ \#2:\boxed{14}$

Luke and Joshua work at a dry cleaners ironing shirts. Luke can iron 35 shirts per hour, and Joshua can iron 25 shirts per hour. Luke worked 3 more hours than Joshua and they ironed 345 shirts between them. Determine the number of hours Luke worked and the number of hours Joshua worked.

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It’s 48 because I worked it out on paper and got it right

Answer:

Step-by-step explanation:

I solved the problem step by step on paper and got it right

3. 11x-7y=-14. X-2y=-4

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11x -7y= -14 (1)
x -2y= -4 (2)

Multiply (2) by 11, we have:
11x -22y= -44 (3)

Take (1)-(3), we have:
(11x-11x)+ (-7y-(-22y))= -14-(-44)
⇒ -7y+22y= -14+44
⇒ 15y= 30
⇒ y= 30/15
⇒ y= 2

x= -4+ 2y= -4+ 2*2= 0

The final answer is x=0, y=2~

The two given equations are
11x - 7y = - 14
x - 2y = -4
Now let us take the second equation for finding the value of x first
x - 2y = -4
x = 2y - 4
Now we have to put the value of x in the first equation
11x - 7y = - 14
11(2y - 4) - 7y = -14
22y - 44 - 7y = -14
15y = 44 - 14
15y = 30
y = 30/15
= 2
Now let us put the value of y in the second equation
x - 2y = -4
x - 2(2) = -4
x - 4 = -4
x = -4 + 4
= 0
So the value of x is 0 and the value of y is 2.

abby owns a square plot of land. she knows that the area of the plot is between 2200 and 2400 square meters. which of the following answers is a possible value for the side length of the plot of land?

Answers

Answer:

Step-by-step explanation:

The formula for the area of a square is A = s². Plug in each value and see if is in between 2200 and 2400.

A = s²

A = (46)²

A = 2116

A = s²

A = (48)²

A = 2304

A = s²

A = (50)²

A = 2500

A = s²

A = (44)²

A = 1936

The only value that fits in between 220 and 2400 is 48.

A snorkeler dives for a shell on a reef. After entering the water, the diver descends 11/3 feet in one second. Write an equation that models the diver's position with respect to time.

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Answer:

f(t)=t²-12t+11

Step-by-step explanation:

1) Having an attentive reading, we can see from the picture two coordinate points (1,0) and (11,0).

These points, has coordinates for x and y. Since those y-coordinates are zero, we have x-intercepts. Or the zeros of a function, in a quadratic function. Those intercepts minus x values equals zero. These x-intercepts we'll rename it as t, for time.

2) Plugging it in and writing it as groups:

f(t) = returns in feet

t= for time

f(t) =(t-1)(t-11)

Distributing the factors multiplying (t-1) times (t-11), goes:

f(t) =t²-12t+11

x^2 -12x +11

We have the x intercepts so we can create the equation (x-1)(x-11). Multiply it and you get your answer

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