12
Activity 2
1. Express each as a unit rate.
a) A car travelled 150 km in 3 hour. Show your work.​

Answer:

D 5.4

Step-by-step explanation:

The pythagoras theorem states that a² + b² = c²

2² + 5² = ?²

4 + 25 = ?²

29=?²

? =

[tex] \sqrt{29} [/tex]

? = 5.4 rounded 2 sig fig one decimal place

Answer:

a) x=18

b) 36 (2*18)

c) 54 (3*18)

d) I'm not exactly sure what it's asking for, so I don't know

Step-by-step explanation:

triangle sum theorem means the sum of every triangle is 180 degrees

so we can make this equation: 180 = 90 + 2x + 3x

solve and you get 18.

Answer:

20.4

Step-by-step explanation:

use trig relations with the angle 74˚

the sides we know are the hyp (74) and the adj side to 74˚ (x).

the trig function associated with hyp and adj is cos.

cos = adj/hyp.

cos 74˚ = x/74

0.27 = x/74

x = 20.39

x = 20.4

Answer:

20.4

Step-by-step explanation:

1. c = b · sin(C) / sin(B) = 20.39716

This is the equation to find x.

c = x

b = 74

C = ?

B = 90

2. C must be found. We know that A is 90 and B is 74.

3. 180 = 90 + 74 + C

According to the triangle sum theorem, the angles of every triangle would add up to equal to 180. This means we should add 90 and 74 first.

4. 180 = 164 + C

You must do 180 - 164 which equals 16.

5. C = 16

This means that 16 is what C equals. You can finally plug in the equation with all the gathered information

c = x

b = 74

C = 16

B = 90

4.  x = 74 · sin(16) / sin(90) =

You could use a calculator to find the answer.

5. The answer you would get is 20.39716, but you need to round to the nearest tenth. The 3 behind the decimal is the tenth place but there is a 9 behind it meaning the 3 must be rounded up to a 4. This means that your answer to this problem is 20.4 when rounded to the nearest tenth.

Step-by-step explanation:

A geometric sequence is when we multiply one number by a set rate to obtain the next number.

For the first one, we multiply 5 by 2 to get 10, 10 by 2 to get 20, and so on. This is geometric

Next, we multiply 3 by 4 to get 12, 12 by 4 to get 48, and so on. This is geometric

Next, we multiply 3 by 5 to get 15, 15 by 5 to get 75, and so on. This is geometric

Next, we multiply 8 by 15/8 to get 15, and 15 by 5 to get 75. 15/8 and 5 are not the same so this is not geometric

Next, we multiply 14 by 21/14 to get 21, and 21 by 28/21 to get 28. 21/14 and 28/21 are not the same so this is not geometric

Next, we multiply 17 by 20/17 to get 20, and 20 by 23/20 to get 23. 20/17 and 23/20 are not the same so this is not geometric.

Finally, we multiply 2 by 5 to get 10, 10 by 5 to get 50, and so on. This is geometric

Answer:

-16

Step-by-step explanation:

-16... using d = b²-4ac

Answer:

the discriminant is –16

hope this helps!

Answer:

B.

Step-by-step explanation:

The ratio of Claire's songs to her mother's songs = 3 : 2

A.

3 : 2 = 3/2

9 : 6 = 9/6 = 3/2

12 : 10 = 12/10 = 6/5

B.

3 : 2 = 3/2

6 : 4 = 6/4 = 3/2

15 : 10 = 15/10 = 3/2

C.

3 : 2 = 3/2

4 : 3 = 4/3

5 : 4 = 5/4

D.

3 : 2 = 3/2

4 : 6 = 4/6 = 2/3

20 : 30 = 20/30 = 2/3

The table which shows the correct ratio and two equivalent ratios is B

Answer:

Step-by-step explanation:

4 days 9 hours 40 minutes

The Answer is:

B) -3/2

Answer:

7/10 > 17/25

Step-by-step explanation:

17/25  and 7/10

The common denominator is 50

17/25 *2/2 =34/50

7/10 *5/5 = 35/50

35 > 34 so

35/50 > 34/50

7/10 > 17/25

Answer:

A ( 3 , 4 )

B ( -3 , 2 )

C ( -2 , -4 )

D ( 6 , -3 )

E ( 0 , 0 )

Step-by-step explanation:

remember that x values go first and then y values ( x , y )

Answer:

if im not mistaken is d hope you get it right

Answer:

75.36 mi

Step-by-step explanation:

Given :-

We know :-

→ Circumference = 2 π r

→ C = 2 * 3.14 * 12 mi

→ C = 75.36 mi

Answer:

Step-by-step explanation:

circumference of a circle=2πr

=2*3.14*12

=24*3.14

=75.36 mi

Answer:

15.73 %

Step-by-step explanation:

Given :-

For finding% :-

→ 14/89 * 100

→ 15.73 %

Answer:

15.73% to the nearest hundredth.

Step-by-step explanation:

14/89 = 0.157303

Now multiply  by 100

This gives 15.7303 %

Answer:

[tex]circumference = \pi \: d \\ = 3.14 \times 3.2 \\ = 10.05 \: m[/tex]

Answer:

circumference=10.05 m

Step-by-step explanation:

radius =diameter/2

=3.2/2

=1.6 m

circumference=2πr

=2*3.14*1.6

=10.048 m

=10.05 m

Answer:

A. 3x+2=14. 3×+2-2=14-2. 3×=12

B. 12(×+10)=24. (12)(×)+(12)(10)=24. 12+120=24. 12×+120-120=24-120

C. 12×= -96. 12×/12. -95/12 x= -8

Answer:

1.2

Step-by-step explanation:

9/5*2/3=1.2

Answer: I think E

Step-by-step explanation:

Answer:

(1,-8)

Step-by-step explanation:

this is be because a rectangle is parralel so opposite ends will have equal sides,  if you were to graph this, there would be a missing point in the spot (1,-8).  

Answer:

(1,-8)

Step-by-step explanation:

Each of the set of points; (-7,8) and (-7,-8) is reflecting over either the x or y-axis. So therefore the second set of points would be (1,8) and (1,-8).

Answer:

Option A is correct

Step-by-step explanation:

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Answer:

A converse is the result of reversing its two constituent statements.

Example, P-Q. Converse would be Q-P

Answer: 625 miles

Step-by-step explanation:

100-40=60

so she has 60% for her distance so lets munis 40 from it and add 250 to 250

250+250=500

60-40=20

20 is half of 40 so whats half of 250? its 125

so she drove 625 miles for her road trip 2 and 1/2 a day

Answer:

0.6 cm

Step-by-step explanation:

she divided the the height of the tree 500, so the same factor has to be applied to everything else

3m * 1/500 = 0.6cm

Answer:

120

Step-by-step explanation:

we solve this question by using permutation because the order matters

nPr

5P4 = 120

Answer:

20a

Step-by-step explanation:

26a+4a-10a=30a-10a=20a

Answer:

20a

Step-by-step explanation:

26a+4a-10a

since they are like terms u can add and subtract them

=30a-10a

=20a

Answer:

The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.

Step-by-step explanation:

The line [tex]y = x + 1[/tex] has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:

[tex]m_{\perp} = -\frac{1}{m}[/tex] (1)

Where:

[tex]m[/tex] - Slope of the original line.

[tex]m_{\perp}[/tex] - Slope of the line perpendicular to the original line.

If we know that [tex]m = 1[/tex], then the new slope is:

[tex]m_{\perp} = -\frac{1}{1}[/tex]

[tex]m_{\perp} = -1[/tex]

A line is defined by the following expression:

[tex]y = m\cdot x + b[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m[/tex] - Slope.

[tex]b[/tex] - Intercept.

If we know that [tex](x,y) = (4,1)[/tex] and [tex]m = -1[/tex], then the intercept of the line perpendicular to the original line:

[tex]b = y - m\cdot x[/tex]

[tex]b = 1+4[/tex]

[tex]b = 5[/tex]

The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.

Answer:

-9y⁹ + 6

Step-by-step explanation:

Subtracting a negative makes it positive

-13y⁹ + 6 + 4y⁹

combine like terms

-9y⁹ + 6

Answer:

1000

Step-by-step explanation:

2x²(x - 5) ÷ 10x

x = 10

2(10)²(10 - 5) ÷ 10(10)

20²(5) ÷ 100

100² ÷ 100

100000 ÷ 100

1000

Answer:

D.5/4r+6p

Step-by-step explanation:

hula kong hahha