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2 years ago

__ x 5 > 5 3/3 2/3 5/3

Mathematics

2 answers:

mariarad [96]2 years ago

8 0

3/3 x 5=5
3/3=1
1x5=5

Citrus2011 [14]2 years ago

7 0

_ * 5 > 5

3/3 is equal to 1 which would make them equal to each other.
2/3 is less than one which means it would make the number on the left less than 5, not greater than.
the answer is 5/3 because it is bigger than the other answer choices and will result in a greater number than that on the right.

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Rectangle ABCD has vertices at (-7,-2); (1, -2); (1, -8); and (-7, -8) respectively. If GHJK is a similar rectangle where G(2, 5

Gennadij [26K]

Answer:

Points J and K could be located at:

J(2,2)

K(6,2)

Step-by-step explanation:

Consider the vertices have a x and y coordinate:

A: x coordinate=-7 y coordinate=-2

B: x coordinate=1 y coordinate=-2

C: x coordinate=1 y coordinate=-8

D: x coordinate=-7 y coordinate=-8

G: x coordinate=2 y coordinate=5

H: x coordinate=6 y coordinate=5

Then it is possible to calculate the distance between the x and y coordinates:

x coordinate of Vertices AB:

x coordinate of B- x coordinate of A=1-(-7)=8

The distance between A and B is 8

y coordinate of Vertices AC:

y coordinate of A- y coordinate of C=-2-(-8)=6

The distance between A and C is 6

Then we know that the side AB of Rectangle ABCD measures 8 and the side AC, measures 6.

Repeat the analysis with Rectangle GHJK. In this case, is only possible to calculate the distance with x coordinate.

x coordinate of Vertices GH:

x coordinate of H- x coordinate of G=6-(2)=4

The distance between G and H is 4

We can see that the distance in x of the Rectangle ABCD is 8, and the distance in x of the Rectangle GHJK is 4, it means that the measure of ABCD is twice GHJK.

Then, if the distance in y coordinate of Vertices AC is 6, we could say that the distance in y coordinate of Vertices GJ is 3.

Points J and K could be located at:

J(2,2)

K(6,2)

3 0

3 years ago

Law of sines: How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3? No triangles can be formed. One t

Vinvika [58]

We have been given angle A as 75 degrees and sides a = 2 and b = 3.

Using Sine rule, we can set up:

$\frac{Sin(A)}{a}=\frac{Sin(B)}{b}$

Upon substituting the given values of angle A, and sides a and b, we get:

$\frac{Sin(75)}{2}=\frac{Sin(B)}{3}$

Upon solving this equation for B, we get:

$\Rightarrow 3Sin(75)=2Sin(B)\\ \Rightarrow Sin(B)=\frac{3Sin(75)}{2}\\ \Rightarrow Sin(B)=1.4488\\$

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.

Hence, the triangle is not possible. Therefore, first choice is correct.

7 0

2 years ago

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A wheel with a circumference of 3 inches is rotating at 5 rotations per minute. I is the distance the wheel travels in one minut

Andreas93 [3]

So circumference is the distance around the wheel
that is the part that is actually touching the ground
so therefor the wheele travels 3 inches per rotations
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3 years ago

Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t

Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles