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rusak2 [61]
3 years ago
13

Beginning at 8:30 A.M., tours of the national capitol and the White House begin at a tour agency. Tours for the national capital

leave very 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?
Mathematics
2 answers:
Softa [21]3 years ago
7 0

Answer:  It means the tours leave at the same time after every 1 hour.

Step-by-step explanation:

Since we have given that

Number of every minutes that tours for the national capital leave = 15 minutes

Number of every minutes that tours for the White house leave = 20 minutes

We need to find the number of minutes, the tours leave at the same time.

So, to leave for the same time = L.C.M. of 15 and 20 = 60 minutes

Hence, It means the tours leave at the same time after every 1 hour.

Rashid [163]3 years ago
3 0

When do the tours stop?

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3 years ago
Find, corrrect to the nearest degree, the three angles of the triangle with the given vertices. D(0,1,1), E(-2,4,3), C(1,2,-1)
Sholpan [36]

Answer:

The three angles of the triangle given above are 23, 73 and 84 correct to the nearest degree. The concept of dot product under vectors was applied in solving this problem. The three positions forming the triangle were taken as positions vectors. The Dot product also known as scalar product is a very good way of finding the angle between two vectors. ( in this case the sides of the triangle given above). Below is a picture of the step by step procedure of the solution.

Step-by-step explanation:

The first thing to do is to treat the given positions in space as position vectors which gives us room to perform vector manipulations on them. Next we calculate the magnitude of the position vector which is the square root of the sun of the square of the positions of the vectors along the three respective axes). Then we calculate the dot product. After this is calculated the angle can then be found easily using formula for the dot product.

Thank you for reading this and I hope it is helpful to you.

4 0
4 years ago
Find the slope of the line y= -8/5x + 2
VikaD [51]

Step-by-step explanation:

Given

y = - 8 /5 x + 2

Comparing the given equation with y = mx + c

slope (m) = - 8/5

Hope it will help :)

7 0
3 years ago
Solve pls brainliest
Sphinxa [80]

Answer:

(\frac{2}{3})^{4} written in simplest form is \frac{16}{81}

Step-by-step explanation:

When taking a fraction to a certain power, you can rewrite the expression as the numerator taken to that power over the denominator to that power. In this case, the fraction is \frac{2}{3} and the exponent is 4, so you can write the expression as \frac{2^{4}}{3^{4}}. 2^{4} is 16, and 3^{4} is 81, so the fraction is \frac{16}{81}.

7 0
2 years ago
Here are the dimensions, in cm, of four cuboids.
professor190 [17]

Answer:

C) 2 × 3 × 5

Step-by-step explanation:

Volume of a cuboid = lbh = 30 cm³

A) 1 × 1 × 5 = 5 cm³ ≠ 30 cm³

B) 5 × 10 × 15 = 750 cm³ ≠ 30 cm³

C) 2 × 3 × 5 = 30 cm³ ✔

D) 1 × 2.5 × 4 = 10 cm³ ≠ 30 cm³

=》The correct option is C) 2 × 3 × 5 as it makes 30 cm³, which is the required volume.

Hope it helps ⚜

4 0
2 years ago
Read 2 more answers
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