What is the slope of the line through (-4, 2) and (3,-3)?

In triangle OPQ, p = 38 cm, q = 29 cm and Angle O=39º. Find the length of o, to the nearest

Lisa [10]

Answer:

The length of o is 24 centimeters

Step-by-step explanation:

In Δ OPQ

∵ Side p is opposite to ∠P

∵ Side q is opposite to ∠Q

∵ Side o is opposite to ∠O

→ To find side o we must use the cosine rule

∴ o = $\sqrt{p^{2}+q^{2}-2(p)(q).cos(O) }$

∵ p = 38 cm

∵ q = 29 cm

∵ m∠O = 39°

→ Substitute them in the rule to find o

∴ o = $\sqrt{(38)^{2}+(29)^{2}-2(38)(29).cos(39)}$

∴ o = 23.92008154

→ Round it to the nearest centimeter (whole number)

∴ o = 24 centimeters

∴ The length of o is 24 centimeters

6 0

3 years ago

What is the period of the function?

blsea [12.9K]

Answer:

2pi

Step-by-step explanation:

4 0

3 years ago

Fifty-five and one-half percent of the shareholders in a fast food chain are under the age of 40 if the corporation is owned by

sp2606 [1]

Answer:

38,270

Step-by-step explanation:

1. find the % of investors over age 40: 100-55.5% = 44.5%

2. multipliy the total number of investors by the % over age 40:

86,000 X 44.5% = 38,270

5 0

4 years ago

solve the x:(pls help with explanation) 1. 2x/3=18 2. 1.6= x/1.5 3. 14y-8=13 4. 17+6p=9 5. x/3+1= 7/15

Darina [25.2K]

Answer:

1. X=27

2. X=2.4

3. y= 1.5

4. p=-1.33

5. X=-1.6

solution,

$1. \: \: \frac{2x}{3} = 18 \\ \: \: or \: 2x = 18 \times 3(cross \: multiplication) \\ \: \: or \: 2x = 54 \\ \: \: \: or \: x = \frac{54}{2} \\ \: \: \: x = 27$

$2. \: \: 1.6 = \frac{x}{1.5} \\ \: \: or \: x = 1.6 \times 1.5( \: cross \: multiplication) \\ \: \: \: \: x = 2.4$

$3. \: \: 14y - 8 = 13 \\ \: \: \: or \: 14y = 13 + 8 \\ \: \: or \: 14 \: y = 21 \\ \: \: or \: 14 \times y = 21 \\ \: \: \: or \: y = \frac{21}{14} \\ \: divide \: 21 \: and \: 14 \: by \: 7 \: you \: will \: get \\ \:or \: y = \frac{3}{2} \\ y = 1.5$

$4. \: \: 17 + 6p = 9 \\ \: \: or \: 6p = 9 - 17 \\ \: \: or \: 6p = - 8 \\ \: \: or \: p = \frac{ - 8}{6} \\ \: \: or \: p = \frac{ - 4}{3} \\ \: \: p = - 1.33 \\$

$5. \: \: \frac{x}{3} + 1 = \frac{7}{15} \\ \: or \: \frac{x + 1 \times 3}{3} = \frac{7}{15} \\ \: \: or \: \frac{x + 3}{3} = \frac{7}{15} \\ \: or \: 15(x + 3) = 7 \times 3( \: cross \: multiplication) \\ \: \: or \: 15x + 45 = 21 \\ \: \: or \: 15x = 21 - 45 \\ \: \: or \: 15x = - 24 \\ \: \: or \: x = \frac{ - 24}{15} \\ \: divide \: - 24 \: and \: 15 \: by \: 3 \\ \: or \: x = \frac{ - 8}{5} \\ x = - 1.6$

Hope this helps ...

Good luck on your assignment..

3 0

4 years ago

Hey, I'm bo.red anyone wanna pl.ay Fort.nite with me? :,)

Karo-lina-s [1.5K]

Answer:

hi

Step-by-step explanation:

yes how you doing tonight

6 0

3 years ago

Read 2 more answers