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guapka [62]
3 years ago
13

Find A. Round to the nearest tenth.

Mathematics
1 answer:
Marianna [84]3 years ago
3 0

Answer:

27.8 degrees

Step-by-step explanation:

Wasn't it 'a,' not 'A,' that you wanted?

The ratio a/ 30 is the cosine of the angle 22 degrees, which in turn is 0.927:

                          a

Then 0.927 = -------    which yields a = 30(0.927) = 27.8 degrees

                         30

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The value of a rare comic book is expected to follow a geometric sequence from year to year. It is presently worth $800 and is e
makvit [3.9K]
You add 1/4 each year:
800 to 1000 in one year
1000 to 1250 in 2
1250 to around 1812.5
6 0
2 years ago
Un carpintero quiere cortar una plancha de triple y de 1m de largo y 60 cm de ancho, en cuadrados lo más grandes posibles. El ca
Ugo [173]

Answer: 20\ cm

Step-by-step explanation:

The first step to solve the exercise is to make the conversion from meters to centimeters.

Since 1\ m=100\ cm, then the dimensions of the wood board in centimeters are:

Lenght=100\ cm\\\\Width=60\ cm

Now, you must find the Greatest Common Factor (GCF). The steps are:

- Descompose 100 and 60 into their prime factors:

100=2*2*5*5=2^2*5^2\\60=2*2*3*5=2^2*3*5

- Multiply the commons with the lowest exponents:

GCF=2^2*5\\\\GCF=4*5\\\\GCF=20

Therefore, the side lenght of each square must be:

s=20\ cm

7 0
3 years ago
Write a sentence that<br> represents the equation,<br> 5x + 3=28.
cupoosta [38]

Answer:

five times a number of pencils plus three pencils =twenty-eight pencils.

Step-by-step explanation:

x = 5, Have a great day!  

3 0
2 years ago
Can someone explain or help me out
Akimi4 [234]

Answer:

The bird has to fly 7.5 m

Step-by-step explanation:

Please see diagram in attached image.

Notice that there is a right angle triangle that defines the situation, and you know two elements of such triangle;

1) one acute angle (15^o), and

2) the side opposite to that angle.

What you need to find is the side adjacent to the angle, which is what the bird needs to fly horizontally to be above the fish. We named that "x".

The trig function that relates such triangle elements is the tangent:

tan(\theta)=\frac{opposite}{adjacent} \\tan(15^o)=\frac{2\,m}{x} \\x=\frac{2\,m}{tan(15^o)} \\x=7.46 \,\,m

which rounded to the nearest tenth is: 7.5 m

8 0
3 years ago
A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine
ASHA 777 [7]

Answer:

The radius of the scoop is r = 3.1 cm

Step-by-step explanation:

Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.

3 gallons = 3 × 3785 cm³ =  11355 cm³

So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.

Since 90 scoops = 11355 cm³, then

1 scoop = 11355 cm³/90 = 126.2 cm³

Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have

r = ∛(3V/4π)

Substituting V = 126.2 cm³, we have

r = ∛(3× 126.2 cm³/4π)

= ∛(378.6 cm³/12.57)

= ∛30.13 cm³

= 3.1 cm

So, the radius of the scoop is r = 3.1 cm

5 0
3 years ago
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