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3 years ago

What is the height of the beach umbrella? Using your knowledge of sine, cosine, and tangent.

Mathematics

1 answer:

omeli [17]3 years ago

4 0

Answer: 8 ft

<u>Step-by-step explanation:</u>

$sin\ 45^o=\dfrac{opposite \angle 45^o}{adjacent \angle 45^o}\\\\\\sin\ 45^o=\dfrac{8}{height}\\\\\\1=\dfrac{8}{height}\\\\\\height=8$

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How do you solve this???

ddd [48]

Plug all the numbers/answers given to find out which one is true while the others are false

7 0

3 years ago

Manuel bought a balloon (that is a perfect sphere) with a radius of 2 \text{ cm}2 cm2, start text, space, c, m, end text. He wan

mote1985 [20]

Answer:

<h2>The required ratio is 8</h2>

Step-by-step explanation:

Volume of a sphere = $\frac{4}{3}\pi r^{3}$ where r is the radius of the sphere.

If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;

Vo = $\frac{4}{3}\pi (2)^{3}$

$Vo = \frac{4}{3}\pi *8\\Vo = \frac{32 \pi}{3}$

If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.

radius of current sphere = 2cm+(1cm+1cm) = 4cm

Volume of the current sphere Vc = $\frac{4}{3}\pi (4)^{3}$

$Vc = \frac{4}{3}\pi *64\\Vc = \frac{256 \pi}{3} \\$

The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;

Vc/Vo = $\frac{\frac{256\pi}{3} }{\frac{32\pi}{3} }$

$\frac{Vc}{Vo}=\frac{256\pi}{3}*\frac{3}{32\pi} \\\frac{Vc}{Vo}=\frac{256}{32}\\\frac{Vc}{Vo}= 8$

The required ratio is 8

3 0

2 years ago

Anya is saving her allowance to purchase a bike. Anya started her savings with $10 and is saving $5 per week. Let y represent th

maria [59]

Answer:

(0,10) and (1,15)

Step-by-step explanation:

5 0

2 years ago

Evaluate tan(sin^-1(-4/5)). Enter your answer as a fraction using the slash bar (/).

Anvisha [2.4K]

Answer:

-1333/1000

Step-by-step explanation:

Evaluate tan(sin^-1(-4/5)).

First we need to evaluate the expression in parenthesis

sin^-1(-4/5)

= sin^-1(-0.8)

= -53.13

SUbstitute the given value into the original expression as shown;

tan(sin^-1(-4/5))

= tan(-53.13)

= -1.333

= -1333/1000

Hence the required answer is -1333/1000

8 0

2 years ago

Read 2 more answers

A water tank is box shaped with a square base of side length 5 ft. The tank is fed by a pipe above and drains from its base. In

adell [148]

Answer:

dy/dt = - (1/5) ft/s = - 0.2 ft/s

Step-by-step explanation:

Given

L = 5 ft

Qin = 25 ft³/s

Qout = 30 ft³/s

h = 10 ft

dy/dt = ?

We can apply the relation

ΔQ = Qint - Qout = 25 ft³/s - 30 ft³/s

⇒ ΔQ = - 5 ft³/s

Then we use the formula

Q = v*A

where Q = ΔQ, A = L² is the area of square base and v = dy/dt is the rate of change in the depth of the solution in the tank

⇒ ΔQ = (dy/dt)*L²

⇒ dy/dt = ΔQ/L²

⇒ dy/dt = (- 5 ft³/s)/(5 ft)²

⇒ dy/dt = - (1/5) ft/s = - 0.2 ft/s

6 0

3 years ago