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3 years ago

These two triangles have the same perimeter. solve for x.

Mathematics

1 answer:

sweet [91]3 years ago

5 0

Answer: x=9

Step-by-step explanation:

I made an equation by putting both shapes equal each other since they have the same perimeter and I simplified the equation to end up with 9 as the value of x.

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Find the seventh term of the

jekas [21]

Answer:

$T_7 = \frac{64}{729}$

Step-by-step explanation:

Given

$a =1$

$r = \frac{2}{3}$

Required

Determine the 7th term

The nth term of a gp is:

$T_n = a * r^{n-1$

So, we have:

$T_7 = 1 * \frac{2}{3}^{7-1$

$T_7 = 1 * \frac{2}{3}^{6$

$T_7 = 1 * \frac{2^6}{3^6}$

$T_7 = 1 * \frac{64}{729}$

$T_7 = \frac{64}{729}$

6 0

3 years ago

(a) If cos² (34°) - sin² (34°) = cos(A°),then A = degree’s

krok68 [10]

$~~~~~~~\cos^2 \left(34^{\circ}\right) - \sin^2 \left( 34^{\circ} \right)=\cos A\\\\\implies \cos \left( 2 \cdot 34^{\circ} \right) = \cos A~~~~~~~~~~~~~;[\cos 2x = \cos^2 x -\sin^2 x]\\\\\implies \cos \left(68^{\circ}\right) = \cos A\\\\\implies A = 68^{\circ}$

3 0

2 years ago

Evaluate the following integrals: 1. Z x 4 ln x dx 2. Z arcsin y dy 3. Z e −θ cos(3θ) dθ 4. Z 1 0 x 3 √ 4 + x 2 dx 5. Z π/8 0 co

Zigmanuir [339]

Answer:

The integrals was calculated.

Step-by-step explanation:

We calculate integrals, and we get:

1) ∫ x^4 ln(x) dx=\frac{x^5 · ln(x)}{5} - \frac{x^5}{25}

2) ∫ arcsin(y) dy= y arcsin(y)+\sqrt{1-y²}

3) ∫ e^{-θ} cos(3θ) dθ = \frac{e^{-θ} ( 3sin(3θ)-cos(3θ) )}{10}

4) \int\limits^1_0 {x^3 · \sqrt{4+x^2} } \, dx = \frac{x²(x²+4)^{3/2}}{5} - \frac{8(x²+4)^{3/2}}{15} = \frac{64}{15} - \frac{5^{3/2}}{3}

5) \int\limits^{π/8}_0 {cos^4 (2x) } \, dx =\frac{sin(8x} + 8sin(4x)+24x}{6}=

=\frac{3π+8}{64}

6) ∫ sin^3 (x) dx = \frac{cos^3 (x)}{3} - cos x

7) ∫ sec^4 (x) tan^3 (x) dx = \frac{tan^6(x)}{6} + \frac{tan^4(x)}{4}

8) ∫ tan^5 (x) sec(x) dx = \frac{sec^5 (x)}{5} -\frac{2sec^3 (x)}{3}+ sec x

6 0

4 years ago

How to calculate radius

Artist 52 [7]

Understanding π You can find the radius of a circle from either its area or its circumference -- the distance around the edge of the circle. To do either of these calculations, you will need to use the number π. π, or pi, is equal to the circumference of a circle divided by its diameter.

hope this helps

4 0

3 years ago

2. Correlation basics Which of the following statements about correlation are true? Check all that apply. If the correlation bet

cluponka [151]

Answer:

The correct statements are: 1, 2, 3, 4 and 5.

Step-by-step explanation:

A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables.

It is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

Positive correlation is an association amid two variables in which both variables change in the same direction.

A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.

In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.

The correlation coefficient is scaleless. This implies that the value of the correlation coefficient does not changes if the scale of one or both the variables are altered.

Thus, the correct statements are: 1, 2, 3, 4 and 5.

5 0

3 years ago