In this 3-dimensional figure, all angles are right angles. Plane ABF and plane FHG are _________

What is the slope of the line on the graph

ella [17]

Answer:

The slope is 6

Step-by-step explanation:

The rise is 6 and the run is 1. 6/1

4 0

2 years ago

Read 2 more answers

Find square root of the following numbers by long division method<br> 1).2025

erik [133]

Answer:

Hope this helps. Good luck

Step-by-step explanation:

6 0

3 years ago

Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200 square units. She places a circle in th

Katarina [22]

Answer:

D

Step-by-step explanation:

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula;

⇒ $d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$

⇒ $r = \sqrt{(6.3 - 0)^{2} + (1.6 - 0)^{2}}$

⇒ $r = 6.5$

Now we calculate the area;

⇒ $A = \pi r^{2}$

⇒ $A = \pi (6.5)^{2}$

⇒ $A = \frac{169}{4}\pi$

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

⇒ $Percentage = \frac{42.25\pi }{200} * 100$

⇒ $Percentage = 66 (2sf)$

5 0

2 years ago

A. Is the sum of two polynomials always a polynomial? Explain

IgorLugansk [536]

Answer: The answers for both (a) and (b) is YES.

Step-by-step explanation: A polynomial is an algebraic expression containing two or more algebraic terms, i.e., the sum of several terms that contain different powers of the same variable or variables with real coefficients.

For example, p(x) = 4x²+x+2 is a polynomial in variable 'x'.

(a) Yes, the sum of two polynomials is again a polynomial. For example,

if p(x) = ax² + bx + c and q(x) = dx² + ex + f, where, a, b, c, d, e and f are real numbers, then their sum will be

p(x) + q(x) = (a+d)x²+(b+e)x+(c+f), which is again a polynomial in 'x' with real coefficients.

(b) Yes, the difference of two polynomials is again a polynomial. For example,

p(x) - q(x) = (a-d)x²+(b-e)x+(c-f), which is again a polynomial in 'x' with real coefficients.

Thus, the answer is YES.

6 0

2 years ago

pH measurements of a chemical solutions have mean 6.8 with standard deviation 0.02. Assuming all pH measurements of this solutio

aalyn [17]

Answer: 2.14 %

Step-by-step explanation:

Given : pH measurements of a chemical solutions have

Mean : $\mu=6.8$

Standard deviation : $\sigma=0.02$

Let X be the pH reading of a randomly selected customer chemical solution.

We assume pH measurements of this solution have a nearly symmetric/bell-curve distribution (i.e. normal distribution).

The z-score for the normal distribution is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 6.74

$z=\dfrac{6.74-6.8}{0.02}=-3$

For x = 6.76

$z=\dfrac{6.76-6.8}{0.02}=-2$

The p-value = $P(6.74$

$P(z$

In percent, $0.0214\times=2.14\%$

Hence, the percent of pH measurements reading below 6.74 OR above 6.76 = 2.14%

6 0

3 years ago

In this 3-dimensional figure, all angles are right angles. Plane ABF and plane FHG are __________