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2 years ago

Given regular pentagon ABCDE, what are the coordinates of vertex C?

Mathematics

1 answer:

nata0808 [166]2 years ago

6 0

Answer: a

Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)

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Ria can paint a room in 4 hours. Destiny can paint the same room in 6 hours. How long would it take Ria and Destiny to paint the

Lerok [7]

Time taken by Ria to paint a room = 4 hours

Time taken by Destiny to paint a room = 6 hours

If they work together, they complete 1 job. So,

$\frac{1x}{4}+\frac{1x}{6}=1$

The LCD of 4 and 6 is 12

$\frac{3x+2x}{12}=1$

$\frac{5x}{12}=1$

$5x=12$

$x=\frac{12}{5}$

Hence, both of them can paint the room in $\frac{12}{5}$ hours or 2.4 hours.

4 0

2 years ago

Read 2 more answers

ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

n = 10

r= 2

Substitute the values in the formula

$^{10}C_{2}=\frac{10!}{2!(10-2)!}$

$^{10}C_{2}=\frac{10!}{2!(8)!}$

$^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}$

$^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}$

$^{10}C_{2}=45$

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0

2 years ago

Tyler drew a figure that has two pairs of equal sides, four angles formed by perpendicular lines, and two pairs of parallel side

nexus9112 [7]

Answer:

A shape with two pairs of parallel lines, perpendicular lines, and two pairs of equal sides can be best described as a rectangle.

8 0

2 years ago

Josiah, the manager of a pet store, bought 72 oz of water conditioner to use in his fish tanks. His small tanks would require 2

Aleksandr [31]

Given that the x-axis represented the number of small tanks and the y-axis represented the number of large tanks.

Given that his small tanks would require 2 oz of conditioner and his large tanks would require 6 oz of conditioner and there are a total of 72 oz of water conditioners available.

The line representing the various combinations of tanks he could put the water conditioner into is given by 2x + 6y = 72.

Since, the manager labeled only the intercepts.

The x-intercept is the value of x when y = 0 and is given by

2x + 6(0) = 72

x = 72 / 2 = 36

Thus, the x-intercept is (36, 0)


The y-intercept is the value of y when x = 0 and is given by

2(0) + 6y = 72

y = 72 / 6 = 12

Thus, the x-intercept is (0, 12)

Therefore, the points labeled by the manager are: (0, 12) and (36, 0)

4 0

2 years ago

A park district is building an outdoor tennis court based on a scale drawing that measures 30cm long by 13.75 cm and uses the sc

Yuliya22 [10]

The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

1 cm : 0.8m

30 cm in the drawing would be:

= 0.8 x 30

= 24 m outside

13.75cm in the drawing would be:

= 0.8 x 13.75

= 11 m outside

Area of a rectangle (which is what the dimensions resemble):

= Length x width

= 24 x 11

= 264 m²

In conclusion, the area of the tennis court is 264 m²

Find out more at brainly.com/question/12581267.

3 0

1 year ago