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3 years ago

Suppose that the functions p and q are defined as follows. HELP PLEASE

Mathematics

1 answer:

nadezda [96]3 years ago

3 0

Answer:

25, 9

Step-by-step explanation:

(p . q)(8) means do q first to 8 then do p to that, which is the same as writing p(q(8)). Then just plug the numbers in.

q(8)=√8+8=√16=4

p(4)=4^2+9=16+9=25

The second one is the opposite order but same reasoning.

p(8)=8^2+9=64+9=73

q(73)=√73+8=√81=9

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A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two air

Lemur [1.5K]

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

$\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ$

Next, we determine the value of Angle B.

$\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ$

Finally, we find b.

$\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)$

The distance between the small plane and the observation tower is 7.9km.

8 0

4 years ago

Tbh I just want to get this assignment done with. Assist me and I'll try to help you.

Katarina [22]

Answer: 3, it is equal to 2x^2+11x+12

Step-by-step explanation:

5 0

3 years ago

Write and solve the equation: Bill spent $23 on 4 drinks at $2 each and some hotdogs at $3 each.

Phantasy [73]

Answer:

5 hotdogs

Step-by-step explanation:

23 (4 drinks and some hotdogs )

hotdogs is $3 each

drinks is $2 each

$2×4 drink=$8

$23-$8=$15

$15÷3=5

8 0

3 years ago

Read 2 more answers

Louis and Max are contestants in a jellybean-eating contest. Louis eats 18 jellybeans

Nezavi [6.7K]

Answer: They ate at the same pace.

Step-by-step explanation: assuming you want to know who ate more faster you can do 18 / 30 and 24 / 4 to find out who ate more in 10 seconds each.

18 / 3 = 6 and 24 / 4 = 6. So they ate at the same speed / pace.

Hope this helps! Brainliest and / or a rating out of 5 stars would be appreciated :)

8 0

3 years ago

Translate the sentence into an equation.

Dvinal [7]

Answer:

X=2

Step-by-step explanation:

8-x=6

there the answer is 2

6 0

3 years ago