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3 years ago

Find the exact length of the third side. 5 3

Mathematics

2 answers:

kykrilka [37]3 years ago

4 0

Answer

This is a 3,4,5 triangle, so the side is 4

Step-by-step explanation:

Evgesh-ka [11]3 years ago

3 0

Hi there! :)

$\large\boxed{b = 4}$

Use Pythagorean theorem to solve:

a² + b² = c² where "c" is the hypotenuse or the diagonal:

Plug in the given values:

(3)² + b² = (5)²

9 + b² = 25

Subtract 9 from both sides:

b² = 16

Take the square root of both side:

√b² = √16

b = 4.

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The space program has 6 astronauts in outer space and 10 astronauts on Earth. What is the ratio of the number of astronauts in o

natulia [17]

6:16

explanation:
6+10=16
6 is the amount in outer space
ration is 6:16

4 0

2 years ago

If triangle ABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point b’?

mojhsa [17]

Answer:

In the given figure the sides of triangle measures as follows:

AB= 4 units,

BC= 6 units,

Since triangle ABC is right angled triangle, to find AC we will have to use Pythagorean theorem,

AB² + BC² = AC²

Plugging the values of AB and BC to find AC,

4² + 6² = AC²

16+36=AC²

AC = 7.48

Now if the triangle is dilated by a scale factor of 2, each side will be multiplied by 2 to get the new triangle A'B'C'

side A'B' = 2* AB = 2*4= 8 units

side B'C' = 2* BC = 2*6 =12 units

side A'C' = 2*AC = 2*7.48 = 14.96 units

Perimeter of triangle = sum of three sides

Perimeter of triangle A'B'C' = A'B' + B'C' + A'C'= 8+12 + 14.96 = 34.96 units.

Perimeter of triangle ABC = AB+BC + AC = 4+6+7.48 = 17.48 units.

Perimeter of triangle A'B'C' = 2* Perimeter of triangle ABC

The perimeter of new triangle A'B'C' is 34.96 units which is twice that of triangle ABC.

Answer : A) The perimeter of A'B'C' is 2 times the perimeter of ABC.

8 0

3 years ago

A jet moving at constant speed traveled 6,600 km in 3 hours. What was the speed of the jet?

DanielleElmas [232]

Answer:

The speed of the jet is $2,200\frac{km}{h}$

Step-by-step explanation:

The speed traveled by the jet can be found using the relationship between distance and time. Because the problem gives the values for distance and time, they must be replaced in the equation and in this way the requested speed will be found.

1. Write the general equation for the speed:

$Speed=\frac{Distance}{Time}$

2. Replace the values of distance and time on the general equation for the speed and make the mathematical operations:

$Speed=\frac{6,600km}{3hours}$

$Speed=2,200\frac{km}{h}$

Therefore the speed of the jet is $2,200\frac{km}{h}$

3 0

3 years ago

Read 2 more answers

someone is eating a 50 gram chocolate bar which contains 30% cocoa how many grams of cocoa is in the chocolate bar

DIA [1.3K]

Well , 10% is 5 g so if you times those 5 g by 3 it is 15 g there are 15 grams of cocoa in the chocolate bar

3 0

3 years ago

Read 2 more answers

Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your resu

Olenka [21]

Answer:

Option A. (-1, 0)

Step-by-step explanation:

In the figure attached,

Circle O is a unit circle (having radius r = 1 unit)

If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,

x = r.cosθ

x = 1.cosθ = cosθ

and y = r.sinθ

y = 1.sinθ = sinθ

Therefore, coordinates representing the point A will be (cosθ, sinθ).

As per question the given point A is lying at P (a point having central angle θ = 180°)

Coordinates of point P will be

(x', y') → (cos180°, sin180°)

→ (-1, 0)

Therefore, Option A will be the answer.

3 0

3 years ago