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3 years ago

8

Find the reference angle of

=" \frac{ - \pi}{7} " alt=" \frac{ - \pi}{7} " align="absmiddle" class="latex-formula">

1 answer:

Semenov [28]3 years ago

3 0

Answer:

π7

Step-by-step explanation:

since is in the first quadrant, the reference angle is π7

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Solve the inequality 5(2h+8)<60

Bezzdna [24]

Answer and Step-by-step explanation:

$Greetings!$

$Let's~answer~your~question!$

$First, ~let's~ work~ on ~the~ left~ hand ~side~ of ~your ~inequality,~ the~ 5(2h+8)~This\\ means,~ for~ instance, ~to ~see ~if ~it ~can~ be ~simplified ~at~ all.~Multiply~ h ~and~ 2$

$The~ answer~ is~ h$

$2\times h~ evaluates~ to~ 2h$

$2\times h+8 ~evaluates~ to~ 2h+8$

$Multiply ~5~ by~ 2h+8$

$we ~multiply~ 5~ by~ each ~term ~in~ 2h+8 ~term ~by~ term~and~we~use~distributive~\\property.$

$Multiply ~5 ~and~ 2h$

$5\times2h=10h$

$Multiply~ 5 ~and ~8$

$5 \times 8 = 40$

3 0

2 years ago

Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)

IceJOKER [234]

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

$\displaystyle y = -x^2 + 2x + 1$

Recall that the vertex is given by the formulas:

$\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)$

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

$\displaystyle x = -\frac{(2)}{2(-1)} = 1$

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

$\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}$

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

3 0

2 years ago

Find the area of the figure round to the nearest tenth

disa [49]

Answer:

72.0

Step-by-step explanation:

7 0

2 years ago

Geometry grade 10 how do we see the adjecent side

RideAnS [48]

Answer: These sides are labeled in relation to an angle. The opposite side is across from a given angle. The adjacent side is the non-hypotenuse side that is next to a given angle.

Step-by-step explanation:

8 0

1 year ago

Rowan reads at a constant rate of 1.5 pages per minute and has already

saul85 [17]

Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.

What is a linear function?

A linear function is modeled by:

$y = ax + b$

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

For Rowan, we have that:

He has already read 20 pages, hence the y-intercept is $b = 20$ .

He reads 1.5 pages per minute, hence the slope is $a = 1.5$

Then:

$y_R = 1.5x + 20$

For Kennedy, we have that:

He has already read 25 pages, hence the y-intercept is $b = 25$ .

He reads 1 page per minute, hence the slope is $a = 1$

Then:

$y_K = x + 25$

They will have read the same number of pages after x minutes, for which:

$y_R = y_K$

Then:

$1.5x + 20 = x + 25$

$0.5x = 5$

$x = \frac{5}{0.5}$

$x = 10$

To learn more about linear function, you can take a look at brainly.com/question/25823744

3 0

2 years ago