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MAXImum [283]
3 years ago
14

there are a total of 122 countries in Africa, Europe, and North America. Europe has twice as many countries as North America, an

d Africa has seven more than Europe. How many countries are in each continent? write an equation and solve it to answer the question
Mathematics
1 answer:
lana66690 [7]3 years ago
8 0
E = 2N

A = E +  7 = 2n + 7

n + 2n + 2n +7 = 122
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A child is flying a kite 145ft above the ground. The string makes an angle of 57 degrees from the child's hands. How much has be
Arturiano [62]

Answer: the length of string that been let out to fly the kite this high is 172.89 ft

Step-by-step explanation:

The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.

With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.

The height of the kite above the ground represents the opposite side of the triangle

To determine h, the length of the string that has been let out to fly the kite this high, we would apply the

Sine trigonometric ratio which is expressed as

Sine θ = opposite side/hypotenuse

Sin 57 = 145/h

h = 145/Sin57 = 145/0.8387

h = 172.89

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3 years ago
What is -12x-5(-8)=40​
ololo11 [35]

Answer: 0

Step-by-step explanation:

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2 years ago
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Help please! I’m giving brainliest to however gets this question right.
Arisa [49]

Answer:

They both have area 4

Step-by-step explanation:

Area of the square:

base*height = 2 * 2 = 4

Area of the triangle:

Using the left-side of the triangle as the base, and the height from the left-side to the bottom-right corner:

\frac{1}{2}base*height

\frac{1}{2}4\sqrt2*\sqrt2=4

We know the length of the diagonal is \sqrt2 as we are using a centimetre grid, so we can create an isosceles triangle with side lengths 1 and our unknown length, we can then use Pythagorean Theorem to work out our unknown side length.

a^2+b^2=c^2

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3 years ago
Find an equation of the plane orthogonal to the line
jolli1 [7]

The given line is orthogonal to the plane you want to find, so the tangent vector of this line can be used as the normal vector for the plane.

The tangent vector for the line is

d/d<em>t</em> (⟨0, 9, 6⟩ + ⟨7, -7, -6⟩<em>t </em>) = ⟨7, -7, -6⟩

Then the plane that passes through the origin with this as its normal vector has equation

⟨<em>x</em>, <em>y</em>, <em>z</em>⟩ • ⟨7, -7, -6⟩ = 0

We want the plane to pass through the point (9, 6, 0), so we just translate every vector pointing to the plane itself by adding ⟨9, 6, 0⟩,

(⟨<em>x</em>, <em>y</em>, <em>z</em>⟩ - ⟨9, 6, 0⟩) • ⟨7, -7, -6⟩ = 0

Simplifying this expression and writing it standard form gives

⟨<em>x</em> - 9, <em>y</em> - 6, <em>z</em>⟩ • ⟨7, -7, -6⟩ = 0

7 (<em>x</em> - 9) - 7 (<em>y</em> - 6) - 6<em>z</em> = 0

7<em>x</em> - 63 - 7<em>y</em> + 42 - 6<em>z</em> = 0

7<em>x</em> - 7<em>y</em> - 6<em>z</em> = 21

so that

<em>a</em> = 7, <em>b</em> = -7, <em>c</em> = -6, and <em>d</em> = 21

4 0
3 years ago
Pls help i dont understand this question​
nikitadnepr [17]

Answer:

The difference is subtracting 6.5

19.5, 25, 31.5

Step-by-step explanation:

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3 years ago
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