PLEASE HELP!
What is the first step in drawing a 40° angle?

A.Line up the ray with the baseline and origin on the protractor
B. Draw a mark on the paper at 40°
C. Draw a ray
D. Draw a ray connecting the vertex and the mark

Answer:

c. [tex] \dfrac{2}{3} [/tex]

Step-by-step explanation:

Let the common ratio be r.

[tex] a_2 = \dfrac{2}{5} [/tex]

[tex] a_3 = \dfrac{2}{5}r [/tex]

[tex] a_4 = \dfrac{2}{5}r^2 [/tex]

[tex] a_5 = \dfrac{2}{5}r^3 [/tex]

We are told that [tex] a_5 = \dfrac{16}{135} [/tex].

[tex] \dfrac{2}{5}r^3 = \dfrac{16}{135}[/tex]

[tex] \dfrac{5}{2} \times \dfrac{2}{5}r^3 = \dfrac{5}{2} \times \dfrac{16}{135}[/tex]

[tex] r^3 = \dfrac{8}{27} [/tex]

[tex] r = \sqrt[3]{\dfrac{8}{27}} [/tex]

[tex] r = \dfrac{2}{3} [/tex]

Answer: c. [tex] \dfrac{2}{3} [/tex]

So the right answer is 42.5

look at the attached picture

Hope it will help you

Good luck on your assignment

So the value of j is -14.2

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

C

Step-by-step explanation:

A only gives one answer.(5.972 × 10^24 kg to be precise)

B It is only one thing so it has one mass, not providing a range of answers

C= There are many asteroids so a range of answers are made

Answer:

4444.63

Step-by-step explanation:

after 1st year money will be 3000 + 0.14 *3000 =3420

after 2nd year 3420 + 0.14*3420 =3898.80

after 3rd yeaar 3898.80 + 0.14*3898.80 = 4444.632

Answer:

16

Step-by-step explanation:

4 coins 2 out comes each

2 X 2 X 2 X 2 = 16

2^4 = 16

Hope i helped you

Answer:

16

Step-by-step explanation:

Answer:

[tex]6\sqrt{3}[/tex]

Step-by-step explanation:

so we are going to create a factor tree which is the .The factor tree is any two numbers that equal to 108.

next we are going to pull out our pairs.so there are one pair of two's and one pair of threes

[tex]\sqrt[2]{108} =2*3\sqrt{3} =6\sqrt{3}[/tex]

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Answer:

D

Step-by-step explanation:

There are 2 triangles on the sides. On the bottom we have one rectangle, than we have the tilted rectangle, and the straight rectangle.

Answer:

y > 10

Step-by-step explanation:

1/2y>5​

Multiply each side by 2

2* 1/2y>5​*2

y > 10

Answer:

y > 10

Step-by-step explanation:

Inequality:

1/2y>5​

We need to isolate the variable y.

Since it is being multiplied by 1/2, we need to multiply by the reciprocal, or opposite, on both sides. The reciprocal of 1/2 is 2. (Check by multiplying both numbers and making sure the product is 1.)

Multiply:

1/2y>5​

x2     x2

y > 10

Therefore, the simplified inequality is y > 10.

Answer:

6y people are in the boats

Step-by-step explanation:

Here, we are interested in writing an expression for the total number of people in the boats.

We have 6 people in each of the boats and there are a total of y boats.

The total number of people in the boats is thus y * 6 = 6y people

Answer:

1/2

Step-by-step explanation:

As they are mutually exclusive P(A and B) = 0 therefore the probability of P(A or B)= P(A) + P(B). Just do 4/5-3/10= 5/10=1/2

The value for P(B) is 1/2.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

P(A) = 3/10, P(B) = ?, P(A or B) = 4/5.

As they are mutually exclusive P(A and B) = 0

So, P( A or B)

4/5 = P(A) + P(B)

4/5 = 3/10 + P(B)

P(B) = 4/5 - 3/10

P(B) = 5/10

P(B) = 1/2.

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Answer:

X = 1.09

Step-by-step explanation:

6 to the 1.09th power is 7.04993094301076 so when it is rounded it is 7.

Answer:

the answer is 7

Step-by-step explanation:

log10(6x)=log10(7)

x•log10(6)=log10(7)

x = log10(7)/log10(6)

this works because of

logb(x y) = y ∙ logb(x)

I figured this out from the internet!!

source:TigerAlegbra

Answer:

Figure 2 and 3 are correct

Step-by-step explanation:

This question is incomplete, the figures are attached.

Number of cans of beans bought by Emery = 3

Total weight of cans = 2.4 pounds

Therefore the weight of each can = 2.4/4 = 0.8 pounds

The can be represented by the equation:

y = 0.8x,   where x is the number of cans and y represents the total weight

From the graph of figure 1, weight of each can =  20/16 = 1.25 pounds. This is not correct

From the graph of figure 2, weight of each can =  8/10 = 0.8 pounds. This is correct

From the table of figure 3, weight of each can =  4/5 = 0.8 pounds. This is  correct

From the table of figure 4, weight of each can =  5/4 = 1.25 pounds. This is not correct

Answer:

Daniel is charged $900

Step-by-step explanation:

This is because 9 percent of 5000 is 450. Multiply 450x2 and get 900.

Answer:

9.4

Step-by-step explanation:

pi = 3.1415...

3.1415*3 = 9.4

Answer:

independent

Step-by-step explanation:

Answer:

F(x) = x-7,H(x)= 2x+3,F(H(x)) = (2x + 3) -7 = 2x - 4

Step-by-step explanation:

f(x)is a function so is the others so pair all then solve :)

Answer:

add the diagram

Step-by-step explanation:

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

[tex]Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455[/tex]

[tex]Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4[/tex]

Total number of possible results:

[tex]results = 4*455\\results = 1820[/tex]

Answer:

(0,5)

Step-by-step explanation:

Answer:

f(7) = -5/2

Step-by-step explanation:

Substituting 7 for x in f(x) = 3/x+2 - √x-3, we get:

f(7) = 3/(7+2) - √(7-3)

Note:  the parentheses are required / mandatory

We get   f(7) = 3/9 - 2, or 1/3 - 2, or  f(7) = -5/2

Answer:

My best guess is 24

Step-by-step explanation:

idk if this is right or not, but the triangle could be a 3 4 5 right triangle.

3 x 2 = 6

4 x 2 = 8

5 x 2 = 10.

6 + 8 + 10 = 24

this is the best answer i got. Don't know if it's going to help...

Answer:

There are three prime numbers and 3 even numbers on a number cube, so the probability of each is 3/6 = 1/2

Step-by-step explanation:

Probability of rolling a prime number on a standard number cube is  [tex]\frac{1}{2}[/tex] or 0.5.

The theoretical probability is defined as the ratio of the number of favorable outcomes to the number of possible outcomes.

Numbers on a cube are {1, 2, 3, 4, 5, 6}

Total number of favorable outcomes = 6

Number of prime numbers in {1, 2, 3, 4, 5, 6} are {2, 3, 5}.

Number of favorable outcomes = 3

Probability of rolling a prime number on a standard number cube

P = [tex]\frac{Number of favorable outcomes}{Total number of favorable outcomes }[/tex]

P = [tex]\frac{3}{6}[/tex]

P = [tex]\frac{1}{2}[/tex]

Hence, probability of rolling a prime number on a standard number cube is  [tex]\frac{1}{2}[/tex] or 0.5.

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Answer:

see below

Step-by-step explanation:

2 1/2+ 3 3/16 + 7/8

Get a common denominator of 16

2 8/16 + 3 3/16 + 14/16

5 25/16

5 + 16/16 + 9/16

6 9/16

Subtract this from 8 ft

8 - 6 9/16

Borrow 1 from 8 in the form of 16/16

7 16/16 - 6 9/16

1 7/16

b  1 7/16 - 1 1/3

The common denominator is 48

1 21/48    - 1 16/48

5/48

Answer:

(-6,-2)

Step-by-step explanation:

Since they intersect at (negative 6, negative 2) and the solution to the two equations is their point of intersection, then you just need to convert the words to numbers in the form (-6,-2). Hope this helps!

Answer:

It is A

Step-by-step explanation:

I just took the test and got 100 eny answer ask me :D

Answer:

A) 2 units

Step-by-step explanation:

Given;

x² + y² - 4x - 4y + 4 = 0

Consider general circle equation;

(x - h)² + (y - k)² = r²

where;

(h , k ) is the center of the circle

r is the radius of the circle

x² + y² - 4x - 4y + 4 = 0

subtract 4 from both sides of the equation

x² + y² - 4x - 4y  =  - 4

square half of coefficient of x and y, and add them to both sides of the equation

x² +  - 4x + (-2)² +  y² - 4y + (-2)² = - 4 +  (-2)² +  (-2)²

factorize x and y

(x - 2)² + (y - 2)² = - 4 + 4 + 4

(x - 2)² + (y - 2)² = 4

(x - 2)² + (y - 2)² = 2²

Compare this final equation to general equation of a circle

(x - 2)² + (y - 2)² = 2²  

(x - h)² + (y - k)² = r²

r = 2

Thus, the length of a radius of the circle is 2 units

Answer:

126m

Step-by-step explanation:

The circumference of the circle would be the amount of fencing required for the circular garden.

Circumference, C = 2πr

π = [tex]\frac{22}{7}[/tex]

C = 2*20*[tex]\frac{22}{7}[/tex]

C = 125.71 m

We need 125.71 meters to fence the garden.

Answer:

618.4 unit^2.

Step-by-step explanation:

We have 6 surfaces  ( 3 pairs of equal area) so it is:

2 * 8.6*10 + 2 * 8.6*12 + 2 * 10*12

=  2 * 86 + 24*8.6 + 2 * 120

= 618.4.

Answer:

Option C; 3x - y = -27 and x + 2y = 16

Step-by-step explanation:

1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.

2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.

3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ Answer: Option C