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Ad libitum [116K]
3 years ago
14

Cesar and Jocelyn are planning their trips to three countries next year. There are 7 countries they would like to visit. One tri

p will be one week long, another two days, and the other two weeks.
Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0

Answer:

They need five weeks to make all their travels.

Step-by-step explanation:

Given that Cesar and Jocelyn are planning their trips to three countries next year.

One trip will be one week long, another two days, and the other two weeks.

In conclusion, they need five weeks to make this travel.

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Is a triangle a right angle
muminat
Some triangles can have a right angle, but not all triangles are right angles. If a triangle has a right angle, it has one angle of 90°. Triangles have a total of 180°.

Hope this helps! :)
8 0
3 years ago
Find the exact value, without a
Ghella [55]

Answer:

√(2 + √3)/4

Step-by-step explanation:

Sine 5π/12 = Sine (5π/6)/2

Recall

π = 180°

Thus,

Sine (5π/6)/2 = Sine (5×180 /6)/2

= Sine 150/2

Recall

Sine θ/2 = √(1 – Cos θ)/2

Thus,

Sine 150/2 = √(1 – Cos 150)/2

But, Cosine is negative in the 2nd quadrant. Thus,

Cos 150 = – Cos 30 = –√3/2

Thus,

√(1 – Cos 150)/2 = √(1 – –√3/2 )/2

= √(1 + √3/2 )/2

= √[(2 + √3)/2 ÷ 2]

= √[(2 + √3)/2 × 1/2]

= √(2 + √3)/4

Therefore,

Sine 5π/12 = √(2 + √3)/4

4 0
3 years ago
Leo wants to paint a mural that covers a wall with an area of 300 square feet. The height of the wall is 1/3 of its length. What
andrew-mc [135]

Answer:

Length = 30

Height = 10

Step-by-step explanation:

Formula for the area = height * length. We know that the height of the wall is 1/3 of its length. This gives us another formula which is  h=\frac{1}{3} l

Now substitute this into the formula, while knowing that the area is 300.

So we have 300 = \frac{1}{3}l * l

Solving for l gives us 30 and then substituting it back into the equation

h = \frac{1}{3} l, will give us that the height is 10.

Hope this helps

4 0
3 years ago
Which statement is true? Question 17 options: A) |–3| = 3 and |–4| = –4 B) –|3| = 3 and |4| = 4 C) |–3| = 3 and –|–4| = –4 D) |–
Mkey [24]
The second one because 4d x c is the correct answer
8 0
2 years ago
Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1).
Marina86 [1]

Given:

The given equation is:

y=-4x+3

A line is perpendicular to the given line and passes through the point (4,-1).

To find:

The equation of required line.

Solution:

The slope intercept form of a line is:

y=mx+b

Where, m is slope and b is y-intercept.

We have,

y=-4x+3

Here, the slope of the line is -4 and the y-intercept is 3.

Let the slope of required line be m.

We know that the product of slopes of two perpendicular lines is -1. So,

m\times (-4)=-1

m=\dfrac{-1}{-4}

m=\dfrac{1}{4}

The slope of required line is m=\dfrac{1}{4} and it passes through the point (4,-1). So, the equation of the line is:

y-(-1)=\dfrac{1}{4}(x-4)

y+1=\dfrac{1}{4}(x)-\dfrac{4}{4}

y=\dfrac{1}{4}x-1-1

y=\dfrac{1}{4}x-2

Therefore, the equation of the required line is y=\dfrac{1}{4}x-2.

5 0
2 years ago
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