Decomposition, find f(x) and g(x) so that the function can be

6. An ostrich cannot fly, but it is able to run fast. Suppose an ostrich runs east for 7.95 s and then runs 161 m south, so that

Liula [17]

Answer:

159 m

Step-by-step explanation:

From the information given:

It was stated that if the ostrich ran towards the east direction in 7.95 s, let say the distance from the starting point is O towards the east side E, let called the distance towards the east side to be OE.

Again, the ostrich then runs in the south direction for 161 m, let the distance be OS.

Also, let the magnitude of the resultant displacement between the east direction to the south direction be ES = 226m.

We are to find, the magnitude of the ostrich's eastward component.

i.e. The distance traveled from the center to the east direction within the time frame of 7.95 s.

Using the Pythagoras rule:

ES² = OE² + OS²

226² = OE² + 161²

226² - 161² = OE²

OE² = 226² - 161²

OE² = 51076 - 25921

OE² = 25155

$OE = \sqrt{25155}$

OE = 158.60 m

OE ≅ 159 m

Thus, the magnitude of the ostrich's towards the eastward component. = 159 m.

4 0

3 years ago

Find the value of each variable. If you give the decimal value, round to the nearest tenth.

DiKsa [7]

u = 10.4 and v = 12

Solution:

In the given 2 sides of a triangle are 60°, 60°.

Sum of all the angles of a triangle = 180°

60° + 60° + third angle = 180°

⇒ third angle = 180° – 60° – 60°

⇒ third angle = 60°

All angles are equal, therefore the given triangle is an equilateral triangle.

⇒ All sides are equal in length.

⇒ v = 12

The line drawn from the top angle divides the triangle into two equal parts

and the line is perpendicular.

12 ÷ 2 = 6

Using Pythagoras theorem,

$\text{Base}^2+\text{Opposite}^2=\text{Hypotenuse}^2$

⇒ $6^2+\text{opposite}^2=12^2$

⇒ $36+\text{opposite}^2=144$

⇒ $\text{opposite}^2=108$

⇒ $\text{opposite}=6\sqrt3=10.4$

⇒ u = 10.4

Hence, u = 10.4 and v = 12.

7 0

3 years ago

HELP Find the measure of angle z in the following figure,

Tema [17]

Answer:

B) ∠z = 40°

Step-by-step explanation:

All three angles of a triangle add up to 180°. In this image, you can see that the angle ∠ACD is 130°. Because ∠ACB and ∠ACD are supplementary angles it means that their angles equal 180° when added together.

If ∠ADC = 130° then:

180° - 130° = 50°

Since we now know that ∠ACB is 50°, we can subtract our two angles from 180° to get the measurement for angle z.

180° - 50° - 90° =

180° - 140° = 40°

~Hope this helps!~

4 0

3 years ago

Read 2 more answers

ILL Give you brainlist if you answer it’s really URGENT PLS

forsale [732]

Answer:

A (3/2, 9/2)

Step-by-step explanation:

Let's take the first solution which is (3/2 , 9/2). If we substitute 3/2 into x we get the equation (3/2)^2 we get y as 9/4 not 9/2, therefore (3/2 , 9/2) does not lie on the curve y = x^2

6 0

3 years ago

Read 2 more answers

I need help ASAP 10 Points!!!

swat32

Purple color figure is similar to the original figure.

Solution:

Property of similar polygon:

Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.

(1) Compare original figure with green color figure:

Angles of the original figure:

37°, 53° and 90°.

Angles of the green color figure:

67°, 23° and 90°

These two angles of the triangles not congruent angles.

Hence these shapes are not similar.

(2) Compare original figure with yellow color figure:

Angles of the original figure:

37°, 53° and 90°.

Angles of the yellow color figure:

67°, 23° and 90°

These two angles of the triangles are not congruent angles.

Hence these shapes are not similar.

(3) Compare original figure with purple color figure:

Angles of the original figure:

37°, 53° and 90°

Angles of the purple color figure:

37°, 53° and 90°

These two triangles have same shape and congruent angles.

Ratio of the sides:

$$\frac{3}{6}=\frac{1}{2} , \ \frac{4}{8}=\frac{1}{2} , \ \frac{5}{10}=\frac{1}{2}$

These two triangles have same ratio.

Hence these shapes are similar.

Hence purple color figure is similar to the original figure.

4 0

3 years ago