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3 years ago

Solve and graph and give the final answers that would make the equation true. Need the answer ASAP is for turn it in tomorrow

Mathematics

1 answer:

svet-max [94.6K]3 years ago

3 0

Draw a line from the left and make an open circle at -2. Then draw an open circle at 2 and draw a line from it to the right.
Hope this helped!

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If the sum of the interior angle of a polygon is 1800 how many sides does it have

Verdich [7]

Answer: 12 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is 180(n-2), where n is the number of sides

$180(n-2)=1800\\\\n-2=10\\\\n=12$

6 0

2 years ago

When a square number is written as a product of prime numbers what can you say about the factors?

Nana76 [90]

Answer:

The square of a prime number is prime

5 0

3 years ago

The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b

bazaltina [42]

Answer:

$75.1^{\circ}$

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

$H' = H-h = 452-1.75=450.25 m$

Now we notice that $d$ and $H'$ are the two sides of a right triangle, in which the angle of elevation is $\theta$ . Therefore, we can write the following relationship:

$tan \theta = \frac{H'}{d}$

since

H' represents the side of the triangle opposite to $\theta$

d represents the side of the triangle adjacent to $\theta$

Solving the equation for $\theta$ , we find the angle of elevation:

$\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}$

3 0

3 years ago

Lee has $1.75 in dimes and nickels. The number of nickels is 11 more than the number of dimes. How many of each coin does he hav

Schach [20]

Answer:

Lee has 19 nickels and 8 dimes

Step-by-step explanation:

hello, I think I can help you with this

Step 1

Let

value of a nickel=$0.05

value of a dime=$0.10

number of nickels=N

number of nickels=D

According to the question data Lee has $1.75 in dimes and nickels.

0.05N+0.1D=1.75,equation(1)

also, the number of nickels is 11 more than the number of dimes.mathematical speaking

N=11+D,equation(2)

Step 2

replace N from equation (2) into equation (1)

0.05N+0.1D=1.75

0.05(11+D)+0.1D=1.75

Now, solve for D

0.55+0.05D+0.1D=1.75

0.15D=1.75-0.55

D=1.2/0.15

D=8

Step 3

replace the value of D into equation(2) to obtain N

N=11+8

N=19

Hence, Lee has 19 nickels and 8 dimes

Have a great day.

5 0

3 years ago

A couple just had twin boys, but they can’t decide between the names Mike, Mark, Peter, Paul, Sam, and Sonny. If the couple rand

Virty [35]

Answer:

The probability is 1/30 or 0.0333

Step-by-step explanation:

For calculating the probability we need to make a division between the number of ways in which the first boy born is named Sam and the second boy born is named Mark and the total number of ways in which the couple can name their children.

To calculate the total number of ways in which the couple can name their children, we can use the rule of multiplication as:

<u> 6 </u> * <u> 5 </u> = 30

First boy Born 2nd Boy Born

Because we have 6 options for the name of the first boy and 5 options for the name of the second boy.

Additionally, In just one option from this 30, the first boy is named Sam and the second is named Mark.

So, the probability is calculate as the division between 1 and 30 as:

$P=\frac{1}{30} = 0.0333$

3 0

3 years ago