A teacher has two large containers, A and B, filled with blue, red, and green beads. She wants her students to

A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance, x, from

allochka39001 [22]

Answer:

183.6 miles

Step-by-step explanation:

Kindly check the picture attached for the solution diagram

Using the cosine formula (Diagram has two sides and an included angle)

x² = y² + z² - 2zy * cosX

x² = 150² + 60² - 2(150*60) * cos115

x² = 22500 + 3600 - 18000 * −0.422618

x² = 22500 + 3600 + 7607.1287

x² = 33707.128 miles

x = √33707.128

x = 183.59501

x = 183.6 miles

3 0

3 years ago

Read 2 more answers

Creating a function machine can be time consuming and awkward. The

IrinaK [193]

The ordered pairs for :

(a) Y = 9-4x are (-2,17), (5,-11) ,(2/3,19/3) and (0.75,6).

(b) Y = 1/x are (-2.-1/2), (5,1/5), (2/3,3/2) and (0.75,1.33)

We are given two functions for which corresponding y-values need to be found for the given x-values so that ordered pairs of the form (x, y) can be formed.

Consider the function Y = 9-4x.

When x = -2, y = 9-(4 x -2) = 17

When x = 5, y = 9-(4 x 5) = -11

When x = 2/3, y = 9-(4 x 2/3) = 9-(8/3) = 19/3

When x = 0.75, y = 9-(4 x 0.75) = 6

So the ordered pairs are: (-2,17), (5,-11) ,(2/3,19/3) and (0.75,6).

Consider the function Y = 1/x

When x = -2, y = 1/-2 = -1/2

When x = 5, y = 1/5

When x = 2/3, y = 1/(2/3) = 3/2

When x = 0.75, y = 1/0.75 = 1.33

So the ordered pairs are: (-2.-1/2), (5,1/5), (2/3,3/2) and (0.75,1.33)

Learn more about ordered pairs at brainly.com/question/20348140

#SPJ9

6 0

1 year ago

Simplify by combining like terms. 11y+ 7y 3y² – 4y²

Mrac [35]

Answer:

$21y^{3} - 4y^{2} + 11y$

Step-by-step explanation:

$11y + 7y(3)y^{2} - 4y^{2}$

=11y + 21y^3 +-4y^2

$=21y^{3}-4y^{2}+11y$

8 0

3 years ago

If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°? A) 3 7 π inches B) 6 7 π inche

AURORKA [14]

Option D

The length of arc is $\frac{7}{6} \pi$ inches

Solution:

Given that diameter of a circle is 6 inches

To find: length of arc subtended by an angle measuring $70^\circ$

The length of arc when angle is measured in degrees is given as:

$\text {arc length }=\frac{\theta}{360} \times 2 \pi r$

Where,

$\theta$ is the central angle in degrees

"r" is the radius of circle

Given that diameter = 6 inches

$Radius = \frac{diameter}{2}$

$radius = \frac{6}{2} = 3 inches$

Substitiute r = 3 inches and $\theta = 70 degrees$ in arc length formula

$\begin{array}{l}{\text { arc length }=\frac{70}{360} \times 2 \pi(3)} \\\\ {\text { arc length }=\frac{7}{36} \times 6 \pi=\frac{7}{6} \pi}\end{array}$

Thus length of arc is $\frac{7}{6} \pi$ inches So option D is correct

3 0

3 years ago

Simplify this radical.Which ordered pair makes both inequalities true? y > –3x + 3 y > 2x – 2 (1,0) (–1,1) (2,2) (0,3)

MAXImum [283]

First, split this inequality then try each answer.

y>-3x+3y>2x-2
split this into two and simplify each,
y > -3x + 3y -3x+3y > 2x - 2
y - 3y > -3x 3y>2x+3x - 2
-2y > -3x 3y>5x -2
2y<3x

Substituting all the 3 ordered pairs, none of them makes the inequalities true.

6 0

3 years ago