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3 years ago

2. Casey says, "I pick a number.

Mathematics

1 answer:

victus00 [196]3 years ago

4 0

Step-by-step explanation:

7,14,21,28,35,42,49,56,63,70

18,36,54,72,90,108,126,144,162,180

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Can a trapezoid be a hexagon

NNADVOKAT [17]

Answer:

No. A trapezoid is a shape with four sides, while a hexagon is a shape with six sides.

Step-by-step explanation:

3 0

3 years ago

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Find cos(2115°) and sin(2115°). Identify the measure of the reference angle.

ivolga24 [154]

Answer:

Cos(2115°) =1/√2

Sin(2115°) = -1/√2

Step-by-step explanation:

We have to find the values of Cos (2115°) and Sin (2115°).

Now, 2115° can be written as (23×90°+ 45°).

Therefore, the angle 2115° lies in the 4th quadrant where Cos values are positive and Sin values are negative.

Hence, Cos (2115°) = Cos(23×90° +45°) =Sin 45° {Since 23 is an odd number, so the CosФ sign will be changed to SinФ} =1/√2 (Answer)

Again, Sin (2115°) = Sin(23×90° +45°) = -Cos 45° {Since 23 is an odd number, so the SinФ sign will be changed to CosФ} = -1/√2 (Answer)

Now, the required reference angle is 45°. (Answer)

8 0

4 years ago

research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impur

Gennadij [26K]

Given that the probability is modeled by the function
$y=3(257,959)^x[tex] where x is the impurity 
concentration and y, given as a percent, is the probability of the fuse 
malfunctioning.\\Then, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is given by [tex]y=3(257,959)^{0.17}=3(8.316941)=24.95$

Therefore, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is 25% to the nearest percent.

7 0

3 years ago

What is the slope of this line of best fit?

Bas_tet [7]

Answer:

The slope of the line of best fit is $\frac{-6}{7}$ ⇒ 2nd option

Step-by-step explanation:

The formula of the slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line

From the attached graph points (1 , 9) and (8 , 3) are the best choice

∵ The line passes through points (1 , 9) and (8 , 3)

∴ $x_{1}$ = 1 and $x_{2}$ = 8

∴ $y_{1}$ = 9 and $y_{2}$ = 3

- Substitute them in the formula of the slope

∴ $m=\frac{3-9}{8-1}=\frac{-6}{7}$

∴ The slope of the line of best fit is $\frac{-6}{7}$

6 0

3 years ago

Given the following triangle, if a = 12 and ∠B = 48°, find b to the nearest whole number.

Keith_Richards [23]

In the figure, the triangle ABC is a right triangle, a is the adjacent leg to the angle B, and b is the opposite side to the same angle.

So, you can use the tangent ratio which relates the angle, the opposite leg and the adjacent leg:

tangent (angle B) = b / a => b = a * tan(B)

=> b = 12 * tan(48°) = 13.33≈ 13

Answer: 13

5 0

3 years ago

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