(b) Evaluate (6.3 x 10^6)+ (9 x 10^2).​

Answer:

40m

Step-by-step explanation:

if 20 it the diameter then the daius is 10 which is multiplied by 4

Answer:

100pi m or approximately 314 m^2

Step-by-step explanation:

We need to find the radius to find the area

r = d/2 = 20/2 = 10

The area of a circle is

A = pi r^2

A = pi (10)^2

A = 100 pi  m^2

If we approximate pi by 3.14

A = 100*3.14

A = 314 m^2

Answer:

The relationship or pattern between the month and the daylight hours is that the winter months tend to have fewer daylight hours while the summer months tend to have more daylight hours.

Answer:

There are 8 granola bars in a pack and 12 fruit rolls in a pack.

Step-by-step explanation:

10x+6y=152

5x+3y=76

7x+12y=200

-20x-12y=-304

-13x=-104

x=8

40+3y=76

3y=36

y=12

Answer:

64º and 116º

Step-by-step explanation:

x  + (x - 52) = 1080

2x - 52 = 180

2x = 232

x = 116º

x - 52 = 64º

Answer:

h > 2                   or  h < 1

Step-by-step explanation:

|2h-3| >1

Solve 2 inequalities

2h-3 > 1  or 2h-3 < -1  (remembering to flip the inequality for the negative solution)

2h-3 > 1      or 2h-3 < -1

Add 3 to each side

2h-3+3 > 1+3  or 2h-3+3 < -1+3

2h>4              or    2h < 2

Divide by 2

2h/2>4/2              or    2h/2 < 2/2

h > 2                   or  h < 1

Answer:

tens of thousand vs hundred

Step-by-step explanation:

Given:

Volume of sphere = 1200 cm³

The sphere is dilated by a factor of [tex]\dfrac{3}{5}[/tex].

To find:

The volume of the dilated image.

Solution:

If two figures are similar then their volumes are proportional to cube of their corresponding sides.

We know that all sphere are similar to each other.

The sphere is dilated by a factor of [tex]\dfrac{3}{5}[/tex]. It means the ratio of new figure to original figure is

Let [tex]V_1[/tex] be the volume of original figure and [tex]V_2[/tex] be the volume of dilated figure.

[tex]\dfrac{V_2}{V_1}=\left(k\right)^3[/tex]

Where, k is the scale factor.

[tex]\dfrac{V_2}{1200}=\left(\dfrac{3}{5}\right)^3[/tex]

[tex]\dfrac{V_2}{1200}=\dfrac{27}{125}[/tex]

Multiply both sides by 1200.

[tex]V_2=\dfrac{27}{125}\times 1200[/tex]

[tex]V_2=259.2[/tex]

[tex]V_2\approx 259[/tex]

Therefore, the volume of the dilated image is 259 cubic centimetres.

Answer:

B

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{?}{6}[/tex] = [tex]\frac{18}{12}[/tex] ( cross- multiply )

12 ? = 108 ( divide both sides by 12 )

? = 9 → B

Answer:

Step-by-step explanation:

there are 18 dogs

Answer:

14

Step-by-step explanation:

So the ratio of dogs (2) to cats (5) is 2:5

How did we go from 5 to 35?

Multiply by 7

So multiply 2 with 7 which is 14

So there are 14 dogs

Hope this helps!

Answer:

The answer is 20.

Step-by-step explanation:

4(d) - c

4(7) - c

28 - c

28 - 8

20 is the answer.

I hope this helps, have a nice day.

Answer:

3 5/12

Step-by-step explanation:

Answer:

41/12 gallons

= 3 5/12 gallons

Step-by-step explanation:

Since it can hold 8 1/4 gallons and currently has 4 5/6 gallons, you subtract.

You need to get the common denominator to subtract cleanly so we can turn the fractions into improper fractions.

8 1/4 = 33/4 because 8 is equal to 8 full 4/4ths so multiply 8 by 4 and add 1 for the remaining 1/4.

Then 4 5/6 becomes 29/6 with the same concept earlier.

So we can change the denominator to 12 on both fractions (33/4 and 29/6) so we can subtract.

33/4 becomes 99/12 because they are still equivalent, it's just that you multiplied the top and bottom by the same number.

29/6 becomes 58/12 because we multiplied the fraction by 2/2.

Those two new fractions stated previously are the same as the original because we multiplied them by 1/1, because 3/3 and 2/2 is still equal to 1/1, and the new fractions can be simplified down to the original.

Since we have 99/12 and 58/12, we can subtract cleanly into

99 - 58 = 41

So the answer is 41/12

Answer:

19

Step-by-step explanation:

Cause it’s angle on a straight line which is equals to 180

Answer:

102 mph

Step-by-step explanation:

Eliana travels at an average speed of 50 mph for 60 miles.

Without stopping, Eliana then travels 130 miles in 2.5 hours.

We calculate the speed here

Speed = Distance in miles /Time in hours

Speed = 130 miles/2.5 hours

= 52 miles per hour

Hence, her average speed for the entire journey is calculated as:

50 mph + 52 mph

= 102 mph

Answer:

2(5)+3y<40

yes that what I know

Answer:

No

Step-by-step explanation:

In order to form a right triangle, you would need one of the angles to be 90 degrees. Plus all the angles don't equal 180 degrees (the angles of a triangle should add up to 180)

Answer:

V(9, -2)

Step-by-step explanation:

U (3,8); M(6,3); V(?,?)

To go from point U to point M we went down 8-3=5 units, and to the right from 3 to 6 so 6-3=3 units. Here we got half way of the line UV so continue 5 units down and 3units right to get to V(9, -2)

U (3, 8); M(3+3= 6, 8-5= 3); V(6+3 =9, 3-5= -2)

Given:

The figure of two triangle XYZ and UWV.

To find:

The theorem that is used to verify [tex]\Delta XYZ\sim \Delta UWV[/tex].

Solution:

In triangle XYZ,

[tex]m\angle X+m\angle Y+m\angle Z=180^\circ[/tex]        (Angle sum property)

[tex]70^\circ+90^\circ+m\angle Z=180^\circ[/tex]

[tex]160^\circ+m\angle Z=180^\circ[/tex]

[tex]m\angle Z=180^\circ-160^\circ[/tex]

[tex]m\angle Z=20^\circ[/tex]

In triangle XYZ and triangle UWV,

[tex]m\angle Y\cong m\angle W[/tex]                  (Right angles)

[tex]m\angle Z\cong m\angle V[/tex]                  (Equal measures)

Two angles of one triangle are congruent to corresponding angles of another triangle. So, the triangles are similar by AA property of similarity.

[tex]\Delta XYZ\sim \Delta UWV[/tex]           (AA similarity theorem)

Therefore, the correct option is B.

Solve for q

-----------------

[tex](8q-5)^o+81=180^o[/tex]

[tex]8q-5+81=180[/tex]

[tex]8q+76=180[/tex]

[tex]8q=180-76[/tex]

[tex]8y=104[/tex]

[tex]q=13[/tex]

---------------

Answer:

(B) M - J = 6

Step-by-step explanation:

Here we have the variables:

M = number of games that Mike won.

J = number of games that Jeanie won.

And we know that there is a total of 38 games played, then if a game can not end in a draw, we have the equation:

M + J = 38

Now we want to find the other equation needed to solve this problem:

We also know that Mike won 6 more games than Jeanie, this is written as:

M = J + 6

We can subtract J in both sides to get:

M - J = 6

This is the equation from option B, so we can conclude that the correct option is B.

Answer:

48

Step-by-step explanation:

1 feet = 12 inches

4 feet = 48 inches

Why?

4 x 12 = 48

I believe it's A, C and D.

Answer:

Both of your answers are correct

Step-by-step explanation:

Answer:

d

e

Step-by-step explanation:

2x ≤ 5x - 15

step 1 subtract 5x from each side

2x - 5x = -3x

5x - 5x cancels out

we now have -3x ≤ -15

step 2 divide each side by -3

-3x / -3 = x

-15 / -3 = 5

IMPORTANT NOTE ( when you divide by a negative number you must flip the sign )

We would be left with x ≥ 5

now let's Plug in 10

2(10) ≤ 5(10) - 15

2(10) = 20

20 ≤ 5(10) - 15

5(10) = 50

20 ≤ 50 - 15

50 - 15 = 35

20 ≤ 35 ✓

Answer:

18 ft

1500 pounds

Step-by-step explanation:

6 x 3 = 1 8

500 x 3 = 1500

Answer:

x<2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 2 x < 2

Interval Notation:

( − ∞, 2)

Step-by-step explanation:

distance walked by him = 1/ 3 miles

time taken in doing so = 3/ 4 hrs.

[tex]speed \: acquired \: by \: him \: = \frac{distance}{time} [/tex]

[tex] = \frac{ \frac{1}{3} }{ \frac{3}{4} } \\ = \frac{ 1}{3} \times \frac{4}{3} \\ = \frac{4}{9} \: miles \: hr^{ - 1} [/tex]

Answer:

4/9 miles an hour

Step-by-step explanation:

You have to do 1/3 ÷ 3/4 = 4/9

Step-by-step explanation:

it's a right angled triangle

it's also a scalene triangle because not all sides are equal