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Leni [432]
3 years ago
7

How do I find b and c?

Mathematics
1 answer:
Alja [10]3 years ago
6 0

Answer:

b = 25.03,

c = 32.67   to the nearest hundredth.

Step-by-step explanation:

To find b and c you can use the trigonometry of a right angled triangle.

tan 50 = b / 21

b = 21 tan 50

b =  25.03

cos 50 = 21 / c

c = 21 / cos 50

= 32.67

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400 reduced by twice my age is 210
Pavlova-9 [17]

Answer:

your age is 95

Step-by-step explanation:

so what minus 400 gets you 210? 190 so you took 190 away from 400 or reduced it by 190 and got 210 but you said that it was twice your age so we can do the inverse of times 2 which is divided by 2 and you would get 95.

8 0
3 years ago
Persia make a flower arrangement using the eight longest flowers which is the combined height of flowers Persia uses
andriy [413]

Answer:

Persia should measure the length of each flower that she used in creating this flower arrangement and add up all the values to get the total height (i.e., the combined height) of the eight flowers used. Make sure to keep the units consistent all throughout the calculation to avoid any errors. For example, if centimetres are used to measure height of one flower, use centimetres all throughout and not switch to using inches at any point.

Hope that answers the question, have a great day!

6 0
3 years ago
Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to
andrew-mc [135]

Answer:

a. 0.4

b. 0.6

c. 0.6493

Step-by-step explanation:

p(checking work email) = p(A) = 0.40

p(staying connected with cell phone) = p(B) = 0.30

p(having laptop) = p(c) = 0.35

p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16

p(neither A,B or C) = p(AuBuC)

= 1-42.8%

= 0.572

p(A|C) = 88% = 0.88

p(C|B) = 70% = 0.7

a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?

p(B|A) = p(AnB)/p(A)

= 0.16/0.4

= 0.4

b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?

p(B|C) = P(C|B)p(B)/p(C)

= 0.7x0.3/0.35

= 0.6

c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

p(A|BnC)

= P(BnAnC)/p(AnC)

= p(AnC) = p(A|C).p(C)

= 0.88x0.35

= 0.308

p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)

p(BnC) = 0.7x0.3

= 0.21

p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21

= 0.2

p(A|BnC) = 0.2/0.308

= 0.6493

3 0
3 years ago
Y= -¹⁄₂₀ (x-25)² + 30
Marizza181 [45]

Answer:

y=80.05

Hope this helps

Step-by-step explanation:

7 0
3 years ago
Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min, and its coarseness is such that it forms a pile in the shap
ikadub [295]

The height is increasing at the rate of (6/5π) ft/min.

It is given that Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. Also, its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.

For this, we need to find the volume of a cone. Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

The volume of a cone is - V=1/3hπr²

Learn more about integers here: brainly.com/question/20521181

#SPJ4

4 0
2 years ago
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