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3 years ago

Find the value of x if your answer is not an integer

SAT

1 answer:

kotykmax [81]3 years ago

7 0

Answer: To solve such problems we need to know about Trigonometry.

Trigonometric functions

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The value of x is 5√3.

Explanation: Given to us,

the base for the triangle, AB = 5 units,

Hypotenuse for the triangle, BC = 10 units,

∠B = 60°,

Solution

The question can be solved in two ways,

1. Using the Pythagoras theorem,

According to Pythagoras theorem,

substituting the values,

2. using the trigonometric function for ∠B,

for ∠B in ΔABC,

substituting the values,

we know that value of tan(60°) is √3,

Hence, the value of x is 5√3.

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Read 2 more answers

Which of these is not a characteristic of science?.

Degger [83]

Science is not testable is not a characteristic of science.

The omitted options include :

science is a process.
science is a body of knowledge.
science must follow the scientific method.
science is not testable.

<h3>What is a Scientific method? </h3>

A scientific method refers to the step by step process that scientists must follow in order to give scientific explanation of a phenomena or invention of an idea that is testable.

The scientific method includes:

Observation
Constructing a hypothesis/ testable explanation
Conducting experiments to test the hpothesis
Formulation of theories based on experiments
Conducting further experiments and research
Making conclusions/Formulation of laws.
Reporting, and evaluating.

Thus, the characteristics of science include:

science is a process.
science is a body of knowledge.
science must follow the scientific method.

Therefore it is wrong to say that science is not testable.

Read more on scientific methods here: brainly.com/question/26174465

6 0

3 years ago

Consider the following line integral. C xy dx + x2y3 dy, c is counterclockwise around the triangle with vertices (0, 0), (1, 0),

Sedaia [141]

It looks like the integral is

$\displaystyle \int_C xy \, dx + x^2y^3 \, dy$

Let's close the loop by adding a line integral over the line segment joining (1, 4) to (0, 0). Then the closed loop is the triangular region

T = {(x, y) : 0 ≤ x ≤ 1 and 0 ≤ y ≤ 4x}

Since the integrand has no singularities over or on the boundary of T, we have by Green's theorem

$\displaystyle \int_C xy \, dx + x^2y^3 \, dy = \iint_T \left(\frac{\partial(x^2y^3)}{\partial x} - \frac{\partial(xy)}{\partial y}\right) \, dx \, dy = \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx$

Compute the double integral:

$\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \int_0^1 \int_0^{4x} \left(128x^5 - 4x^2\right) \, dx = \frac{60}3$

From this result, we subtract the line integral over the extra line segment we added. Parameterize this path by

C' : {(1 - t, 4 - 4t) : 0 ≤ t ≤ 1}

The line integral over C' is

$\displaystyle \int_{C'} xy \, dx + x^2y^3 \, dy = \int_0^1 (1-t)(4-4t)(-dt) + (1-t)^2(4-4t)^3(-4\,dt)$

$\displaystyle \int_{C'} xy \, dx + x^2y^3 \, dy = \int_0^1 \left(256 t^5-1280 t^4+2560 t^3-2564 t^2+1288 t-260 \right) \, dt = -44$

so that the line integral over C alone is 60/3 - (-44) = 64.

3 0

3 years ago

A three inch line segment is dilated by a scale factor of 6 and centered at its midpoint. What is the lenght of its image?

ruslelena [56]

The correct answer for this question is this one: "D. 18 inches"

In order to solve this question, you just multiple the 3-inch line by the scale factor, which is 6.

There exists the same question from other source that has the following choices:
A. 3 inches
B. 6 inches
C. 9 inches
D. 18 inches

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3 years ago