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2 years ago

Solve for (2/5)^8x=25/4

Mathematics

1 answer:

Levart [38]2 years ago

5 0

Answer:

X=-1/4

Step-by-step explanation:

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number 3 says,"If u and v are the measures of complementary angles such that sin u =2/5 and tan v =(square root of 21) 21/2, lab

vodomira [7]

Answer and Explanation:

Using trig ratios, we can express the given values of sin u and tan v as shown below

$\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}$

So we can go ahead and label the sides of the triangle as shown below;

We can find the value of u as shown below;

$\begin{gathered} \sin u=\frac{2}{5} \\ u=\sin ^{-1}(\frac{2}{5}) \\ u=23.6^{\circ} \end{gathered}$

We can find v as shown below;

$\begin{gathered} u+v+90=180\text{ (sum of angles in a triangle)} \\ v+23.6+90=180 \\ v=180-113.6 \\ v=66.4^{\circ} \end{gathered}$

5 0

1 year ago

Which of the following is the graph of y==(x-2) 0 - 5?

nevsk [136]

Answer: is -5
Explanation:

8 0

2 years ago

Questions below. Please show work. 40pt and brainiest. Thanks!

Sever21 [200]

Answer:

Step-by-step explanation:

The transformation of f(x) to g(x) = a·f(x-b)+c does vertical scaling by a factor of "a", right shift by the amount "b" and shift upward by the amount "c".

1. The function is ...

scaled vertically by a factor of 3,
shifted right 2 units, and
shifted up 5 units.

The general shape is that of the square root function, but enlarged vertically and translated upward and to the right. The first attachment shows a graph.

2. The function is ...

scaled vertically by a factor of -1 (reflected across the x-axis), and
shifted down 8 units.

The function is an odd function, so is symmetrical about the origin. A reflection across the x-axis (top/bottom) has the same appearance as a reflection across the y-axis (left/right). This function retains its size, but is moved downward. The second attachment shows a graph.

4 0

3 years ago

A group of kids do a car wash. They charge $4.50 for each small car they wash and eight dollars for each large car or SUV in the

Basile [38]

Answer:

Step-by-step explanation:

Let x and y represent the numbers of small and large cars washed, respectively.

We know that:

$4.50x + $8y = $420

But we don't know the relationship between x and y. We need more information (e.g., they washed twice as many small cars and large). Otherwise we have one equation and two unknowns. Since there are two unknowns, we can't determine a "slope" of the line. With all the water and soap, the most we could possibly say it will be a slippery slope.

6 0

2 years ago

If an object is propelled upward from a height of 72 feet at an initial velocity of 90 feet per second, then its height h after

kifflom [539]

Answer:

6.34 seconds.

Step-by-step explanation:

The object will hit the ground when h = 0.

-16t^2 + 90t + 72 = 0

8t^2 - 45t - 36 = 0

We can then use the quadratic formula to solve.

[please ignore the A-hat; that is a bug]