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3 years ago

Draw an angle with the given measure in standard position.

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

4 0

Answer: see graphs

<u>Step-by-step explanation:</u>

start at the origin and draw an arrow...

2) 60° counterclockwise = 60°

3) 135° clockwise (360 - 135) = 225°

4) one full ring counterclockwise plus (450 - 360) = 90°

5) three full rings clockwise plus (360(4) - 1125) = 315°

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Harshdeep was playing basketball with his friends with seconds left before the game ended he attempted a 3 point shot the follow

vitfil [10]

Answer:

<h2>After two seconds, the ball reached 9 units up.</h2>

Step-by-step explanation:

The given function is

$y=-x^{2} +4x+5$

The given function models the path of the ball.

The maxium height the ball reached is given by the vertex of this function, which has coordinates $V(h,k)$ , where $h=-\frac{b}{2a}$ and $k=f(h)$ .

From the equation, we know that $a=-1$ , $b=4$ and $c=5$ . Replacing these values, we have

$h=-\frac{4}{2(-1)}=2$

$k=f(2)=-(2)^{2} +4(2)+5=-4+8+5=9$

Where $k$ determines the height and $h$ the time when the maximum height was reached by the ball.

The maximum height is 9 units.

Therefore, after two seconds, the ball reached 9 units up.

7 0

4 years ago

Giovanni has been hired by a local clothing accessory store to make decorative belts that have green and blue beads carefully gl

Len [333]

The system of inequalities that model the number and types green (g)

and blue (b) beads in a belt are as follows;

<u>70 < g + b < 74</u>

<u>10 < g < 14</u>

<u>56 < b < 63</u>

$\underline{\dfrac{1}{4} \leq \dfrac{b}{g} \leq \dfrac{1}{6}}$

<h3>How can s system of inequalities be written?</h3>

The waist size for the belt = ±28 inches

The <em>x</em> represent the number of beads on each belt, we have;

Number of beads per belt 70 < x < 74

Minimum ratio of blue to green beads = 1 : 4

Maximum ratio of blue to green beads = 1 : 6

Therefore;

Minimum number of blue beads = $\frac{70}{1 + 6}$ = 10

Maximum number of blue beads = $\frac{74}{1 + 4}$ ≈ 14

The number of blue beads, <em>b</em>, in a belt is therefore;

<u>10 < g < 14</u>

<u />

Minimum number of green beads = $\frac{4}{1 + 4}$ × 70 = 56

Maximum number of green beads = $\frac{6}{1 + 6}$ × 74 ≈ 63

The number of green beads, <em>g</em>, in a belt is therefore;

<u>56 < b < 63</u>

The sum of the beads on each belt = g + b = x

Therefore;

<u />

<u>70 < g + b < 74</u>

From the given maximum and minimum ratios, we have;

$\underline{\dfrac{1}{4} \leq \dfrac{b}{g} \leq \dfrac{1}{6}}$

Learn more about inequalities here:

brainly.com/question/371134

6 0

3 years ago

The shape has no right angles all the sides are congruent the total of its angle is less than 360°

amm1812

Answer:

equilateral triangle

5 0

4 years ago

18x-12=<br> 24x+48=<br> 45x_81=<br> 8x+15=

dlinn [17]

Answer:

1) 6(3x-2)

2) 24(x+2)

3) 9(5x−9) or 9(5x+9) if you meant to put addition.

4)8x+15

3 0

3 years ago

It’s a review please HELP ASAP I’ve been stuck on it for awhile now

AlladinOne [14]

<h3>Answer: 7 goes in the blank space</h3>

The range of values for x is 2 < x < 7

========================================

Explanation:

The hinge theorem says that the larger the opposite side is, the larger the angle will be.

AD = 11, DC = 8

Since AD > DC, this means angle ABD > angle DBC.

--------

angle ABD > angle DBC

20 > 4x-8

20+8 > 4x-8+8 ... add 8 to both sides

28 > 4x

4x < 28 ... flip both sides and the inequality sign

4x/4 < 28/4 ... divide both sides by 4

x < 7

--------

At the same time, the angle 4x-8 cannot be 0 or negative.

So we say 4x-8 > 0. Let's solve this for x.

4x-8 > 0

4x-8+8 > 0+8 ... add 8 to both sides

4x > 8

4x/4 > 8/4 ... divide both sides by 4

x > 2

2 < x ... flip both sides and the inequality sign

--------

We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7

We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.

6 0

3 years ago