Which set of values could be the side lengths of a 30 60 90 triangle

Answer:

The answer is (x + 5)(x - 5).

Step-by-step explanation:

Assuming that 25 is a perfect square so you can apply :

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

Test :

[tex](x+5)(x-5) = {x}^{2} - 5x + 5x - 25 [/tex]

[tex](x+5)(x-5) = {x}^{2} - 25 [/tex]

Answer:

[tex]\boxed{(x-5)(x+5)}[/tex]

Step-by-step explanation:

x² - 25

Factor out square.

(x)² - (5)²

Apply difference of two squares formula.

a² - b² = (a-b)(a+b)

a = x

b = 5

x² - 25 = (x-5)(x+5)

Answer:

The second choice.

Step-by-step explanation:

Open the compass to the width of the line and draw two arcs.

These arcs should be on the same side of the original line.

You can then draw the parallel line with the straight edge just touching the top of each arc.

Parallel lines can be drawn using compass and straightedge using the concept of corresponding angle.

Two lines are called parallel when they never meet each other if they are increased on the either side of them.

When constructing parallel lines with a compass and straightedge we can follow the below mentioned steps.

1. At first we need to draw a straight line. Then take a random point on it.

2. After that, we need to take a random point above the line that is drawn. Then, we need to connect two points.

3. After that, draw two arcs using the compass. First arc is on the angle formed by two lines drawn. The next arc is on the line that connects two points.

4. Now using the compass, we can copy the angle formed on the first line on the point above the first line.

5. Now, complete the angle on the point above the first line. These two lines are parallel lines.

Learn more about parallel lines here: https://brainly.com/question/1418314

#SPJ2

Answer:

11.67

Step-by-step explanation:

Data given in the question

∠ADC = 42°

∠BAC = 68°

Let us assume that AC be Y

Now

In ΔACD

tan 42° = AC ÷ CD = Y ÷ x ...............................(i)

In ΔACB  

tan 68° = BC ÷ AC = 26 ÷ Y ..........................(ii)

Now take the value of Y from the equation (ii)

Y = 26 ÷ Tan 68° ...................... (iii)

Now place the value of Y in equation (i)

So,

Tan 42° = 26 ÷ tan 68° × X

X = 26 ÷  tan 68° × Tan 42° ......................(iv)

Now placing the values of tan 42° and tan 68° in equation (iv)

So,

X = 26 ÷ 0.900 × 2.475

= 11.67

The tan 42° = 0.900

And, the tan 68° = 2.475

Answer:

Step-by-step explanation:

The question is not correctly written, here is the correct question.

If h(x) = 5 + x and k(x) = 5, which expression is equivalent to (koh)(x)?

(koh)(x) can be rewritten as k{h(x)}

Since h(x) = 5+x then,  k{h(x)} = k(5+x)

Note that k(x) can be written as 5x°

k(5+x) = 5(5+x)°

Since any value raise to the power of zero is 1, then;

k(5+x) = 5(1)

k(5+x) = 5

(koh)(x) =  k{h(x)}  = 5

For (hok)x;

(hok)x = h{k(x)}

= h(5)

= h(5x°)

Since h(x) = 5+x

h(5x°) = 5+5x°

h(5x°)= 5+5 = 10

(hok)x = h(k(x)) = 10

Answer:

Im pretty sure that the answer is 32.

Step-by-step explanation:

Hope this helps

Answer:

A. 4 2/3 hours

B. (i) 9 4/5 hours

(ii) 1 19/30

Step-by-step explanation:

Firstly, to find the number of hours he used in visiting old folks, what we have to do is to multiply the fraction of hours he used by the total number of hours.

Mathematically, that would be;

4/7 * 8 1/6

8 1/6 is same as 49/6

So the number of hours he spent visiting old folks would be ;

49/6 * 4/7 = 14/3 = 4 2/3 hours

B. What we do here is simply multiply the fraction now by what he spent last year.

That would be 1 1/5 * 8 1/6 hours

= 6/5 * 49/6 = 49/5 = 9 4/5 hours

ii) Now we want to know how much more time will be spent this year than last year.

What to do here simply is to subtract the time taken last year from what we have this year

That would be;

49/5 - 49/6 = 49/30 = 1 19/30

Answer:

Substitute -3,-2,-1,0,1,2,3 in d equation given to u at first to complete the table

Answer:

C

Step-by-step explanation:

so

a≤b

b≤c

definitely a can't be more of c

at last, equal

so a≤c

Answer:

The answer is C. 16x² - 56xy + 49y²

Step-by-step explanation:

A perfect square trinomial is the result of a squared binomial, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.

Answer:

Step-by-step explanation:

The mode is 24 so we know that at least 2 of the 5 numbers are 24.

The mean is 20 so we know that the 5 numbers add up to 100.

The median is 21 so the third number is 21.

100-(24+24+21)= 31

Now, I am pretty certain that the last 2 numbers can be anything as long as they add up to 31 AND they are not also 21 because 24 then would no longer be the mode.

E.g. 24, 24, 21, 11 & 20

Answer:

B and D

Step-by-step explanation:

=> All of the sides are unequal so it's a scalene triangle.

=> It have a 90 degrees angle, so it is a Right Angled Triangle.

Answer:

B. Scalene

D. Right

Step-by-step explanation:

The triangle is a scalene triangle, because all the three sides have different lengths.

The triangle is a right triangle, because it has an angle of 90 degrees.

Answer:

[tex]10i[/tex]

Step-by-step explanation:

√(-100)

Use the imaginary number rule  [tex]i=\sqrt{-1}[/tex]

√(-1) × √(100)

i × √(10²)

i × 10

= 10i

Answer:

It does not have a square root because it is a minus digit.

Step-by-step explanation:

The square root of one number is the number which is multiplied by itself to form the square number.

But, no negative number has a square root, because

- x - = +

+ x + = +

As you can see, no two same signs multiply together to form a negative.

Hope this helps.

Good Luck

Answer:

15

Step-by-step explanation:

Prime factors of 3375 are 3, 3, 3, 5, 5, 5.

Since you need the ∛ of 3375, ∛3375=15

Answer:

15

Step-by-step explanation:

15x15x15=3375

Step-by-step explanation:

For one course:

6+8+5=

Two courses with appetizers and main meals (* means times)

6*8

Two courses with appetizers and dessert

6*5

Two courses with main meals and dessert

8*5

Answer:

18 units^2

Step-by-step explanation:

Formula for Area of trapezoid:    ( base 1 + base 2 / 2) * height

(3 + 9 / 2) * 3 = (12 / 2) * 3 = 6 * 3 = 18 units^2

I hope this helps

Answer:

18²

Step-by-step explanation:

Formula for a trapezium:

Area = base1 + base2/2 × height

3 + 9/2 × 3

= 12/2 × 3

18²

Answer:

Step-by-step explanation:

(27)^2/3=∛27²=∛3³*3³=3*3=9

√36³=√36*36*36=√6²*6²*6²=6*6*6=216

(-243)^3/5=5√2-42³=-27

Answer:

86 B

Step-by-step explanation:

32+62=94

180-94=86

The sum of the interior angles of a triangle always add up to 180 degrees.

Answer:

The third angle is 86

Step-by-step explanation:

The sum of the angles of a triangle add to 180

32+62+x = 180

94+x = 180

Subtract 94 from each side

x = 180-94

x =86

Answer:

p(x) = 8x - 20

Step-by-step explanation:

revenue from selling x shirts is f(x) = 15x

The cost of buying x shirts is c(x) = 7x + 20

p(x) = f(x) - c(x)

To solve this, we need to substitute value of f(x) and c(x) in formula for p(x)

p(x) = f(x) - c(x)

p(x) = 15x -( 7x + 20)

=>  p(x) = 15x - 7x -20

=>  p(x) = 8x -20

Thus, profit is p(x) = 8x - 20.

Answer:

I hope it will help you.......

Answer:

Step-by-step explanation:

2340 miles

Given

1 inch represents 10 miles

thus,

1 inch on map = 10 miles in real

given the two cities are 234 inches apart on map

1 inch on map = 10 miles in real

multiplying both side by 234

1 inch*234 on map = 10 miles*234 in real

234 inch on map = 2340 miles in real.

Thus, two cities are 2340 miles apart.

Answer:

27.5 miles

Step-by-step explanation:

You need to multiply 2 3/4 by 10, because it says every inch represents 10 miles.

2 3/4 * 10

11/4 * 10/1 = 55/2

27 1/2 or, 27.5

Answer:

440,816 miles per day

Step-by-step explanation:

Answer:

The answer is P - Q and Q - R are true statements, the P - R is a true statment

Answer:

32 years old

Step-by-step explanation:

Please see attached picture for full solution.

Let Sunil's present age be 4x and his wife's present age be 3x.

Answer:

one is correct.

Step-by-step explanation:

because it have one solution when you graph it

Answer:

One solution (2.25,1.75)

Step-by-step explanation:

Well first we need to graph the following

[tex]y=3x-5[/tex]

[tex]y=-x+4[/tex]

So look at the image below.

So looking at the image below we can tell that the system only has one solution (2.25,1.75).

Answer:

d.tigers have a great IQR because they were some very heavy tigers.(high outliers)

This question is incomplete.

Find attached to this question the diagram of the cube.

Reference for the attached image: This diagram was obtained from Education Quality and Accountability Office (EQAO) PDF

Answer:

128cm³

Step-by-step explanation:

The diagram of the box shows it has a side length of 9.2cm

Volume of a cube =( Length)³

Volume of a cube =( 9.2cm)³

= 778.688cm³

We are told in the question that the decoration packed in the cube has a volume of 651 cm³.

The amount of empty space remaining in the box is calculated as:

778.688cm³ - 651cm³

= 127.688cm³

Approximately to the nearest whole number = 128cm³

Answer:

The answer is 3x(x - 3)(x + 2)

Step-by-step explanation:

3x³ - 3x² - 18x

Factor out 3x from the expression

We have

3x ( x² - x - 6)

Solve the terms in the bracket

We have

3x ( x² + 2x - 3x - 6)

Factor out x the expression in the bracket

We have

3x ( x ( x + 2) - 3( x + 2) )

Factor out x + 2 from the expression in the bracket

We have the final answer as

Hope this helps you.

Answer:

Step-by-step explanation:

You have the following hyperbola:

[tex]\frac{x^2}{32}-\frac{y^2}{82}=1[/tex]              (1)

The general for of a hyperbola:

[tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]

To construct the graph you take into account the rectangle formed by the lines x=±a and y=±b, and the asymptotes of the diagonals of the rectangles.

Furthermore, you take into account the foci of the hyperbola, which are

(0,±a).

Then, you have the lines

x = ± √32

y = ± √82

And the foci:

(0, ± √32)

The graph is shown in the attached image.

Answer:

D

Step-by-step explanation:

On edg

Answer:

x = 1, y = -2

Step-by-step explanation:

- 2x + 10y = -22 _______(1)

-2x - 4y = 6 _______(2)

From (1),

10y + 22 = 2x

x = (10y + 22) / 2

x = 5y + 11 .______(3)

Substitute (3) into (2),

-2 ( 5y + 11) -4y = 6

-10y - 22 - 4y = 6

-14y = 6 + 22

-14y = 28

y = 28/ -14

y =-2

Substitute y = -2 into (3).

x = 5y + 11

x = 5(-2) + 11

x = -10 + 11

x = 1

Therefore, the solution is x = 1, y = -2.