All categories

2 years ago

Happy Tuesday! Looking for some help with my geometry.

Mathematics

1 answer:

svetlana [45]2 years ago

5 0

Answer:

cos 59° = x/16
x = 16 cos 59°
x = 8.24

BC is given 23 mi

<u>Maybe AB is needed</u>

AB = √34² + 23² = 41 (rounded)

BC² = AB² - AC²
BC = √(37² - 12²) = 35

Let the angle is x

cos x = 19/20
x = arccos (19/20)
x = 18.2° (rounded)

See attached

Added point D and segments AD and DC to help with calculation

BC² = BD² + DC² = (AB + AD)² + DC²

<u>Find the length of added red segments</u>

AD = AC cos 65° = 14 cos 65° = 5.9
DC = AC sin 65° = 14 sin 65° = 12.7

<u>Now we can find the value of BC</u>

BC² = (19 + 5.9)² + 12.7²
BC = √781.3
BC = 28.0 yd

<em>All calculations are rounded</em>

You might be interested in

Store A

MArishka [77]

<h3>Answer: Choice C) $1,444.50</h3>

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

There are two methods to get the answer.

The slightly longer method is to take 7% of the original price to get

7% of 1350 = (7/100)*1350 = 0.07*1350 = 94.50

The sales tax is $94.50

Add this onto the original price to get 1,350+94.50 = 1,444.50

----------------------------

A shortcut is to multiply the original price by 1.07

The multiplier 1.07 represents a 7% increase since

1 = 100%
0.07 = 7%
1.07 = 1 + 0.7 = 100% + 7%

So we will have 1.07*1350 = 1,444.50

4 0

3 years ago

On average, there are 10 customers arrives a local bank per hour. Bob is the only bank teller on duty at the bank currently and

I am Lyosha [343]

Answer:

the probability that no customer will arrive in the next 6 minutes = 0.36788 = 0.368

Step-by-step explanation:

If there are 10 customers per hour, this translates to 1 customer per 6 minutes

So, if there's a mean of 1 customer per 6 minutes, to obtain the probability that no customer will come in a 6 minute interval, this becomes a Poisson distribution problem.

The Poisson distribution formula is given by

P(X = x) = (e^-λ)(λˣ)/x!

where λ = mean = 1 customer per 6 minutes

x = 0 customer per 6 minutes

P(X=0) = (e⁻¹)(1⁰)/0! = 0.36788 = 0.368

7 0

3 years ago

Solve this step by step

Kaylis [27]

Step-by-step explanation:

the formula to calculate a circumference is

$x \times \pi$

(consider x as the diameter)

so I'll be noting the circumference as C alongside the circle's ranking

$ca = 6 \times 22 \div 7 \\ = 44 \div 7$

$cb = 7 \times 22 \div 7 \\ = 154 \div 7 \\ = 22$

$cc \: = 4 \times 22 \div 7 \\ = 88 \div 7$

hope I helped

8 0

3 years ago

Find the surface area of the cylinder.

Ronch [10]

Answer:

exact: 48pi cm^2

approximate: 150.8 cm^2

Step-by-step explanation:

SA = 2 * (pi)r^2 + 2(pi)rh

SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm

SA = pi(18 cm^2 + 30 cm^2)

SA = 48pi cm^2

SA = 150.8 cm^2

4 0

3 years ago

Read 2 more answers

In (circle)A, m∠BAD = 110. Find mDE.

Veseljchak [2.6K]

Answer:

Line BE = 180 degrees

Therefore, angle BAD + angle DAE = 180 degrees

Angle DAE = 180 -110 = 70 degrees

Step-by-step explanation:

7 0

2 years ago