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Sati [7]
3 years ago
8

You are taking a multiple-choice test that has eight questions. each of the questions has three answer choices, with one correct

answer per question. if you select one of these three choices for each question and leave nothing blank, in how many ways can you answer the question?
Mathematics
1 answer:
sukhopar [10]3 years ago
5 0
Alright, so there are three answers. Start with 3, and for each question you answer, you can select three more, so it's 3*3 for two questions and so on, resulting in 3^8= 6561

This is assuming you mean <span>how many ways can you answer the test, not the question</span>
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Please help! Will give brainliest
Nina [5.8K]

Answer:

d=1/2

b=1/25

b(row 2)=1/5

e=7/100

explanation: think about them as numbers out of 100 then simplify :)

7 0
3 years ago
Read 2 more answers
1. tan a = cot(a + 10°)
Temka [501]

Answer:

a=40+90n

Step-by-step explanation:

Use a cofunction identity on the right hand side or left hand side...

So \tan(a)=\cot(90-a).

We have the equation:

\tan(a)=\cot(a+10)

Make the above replacement:

\cot(90-a)=\cot(a+10)

Since cotangent has period 180 degrees, we can also write this as:

\cot(90-a+180n)=\cot(a+10)

So solving the following will give us a set of solutions for a:

90-a+180n=a+10

Add a on both sides:

90+180n=2a+10

Subtract 10 on both sides:

80+180n=2a

Divide both sides by 2:

40+90n=a

Symmetric property:

a=40+90n

7 0
2 years ago
Find two numbers whose product is 21 and whose sum is 10
Alex Ar [27]
The two numbers you are looking for are 7 and 3.
3 0
3 years ago
farmer ryan has corn field that is nearly a rectangle. the length is five meters more than the width. the perimeter is about 210
Tcecarenko [31]

Farmer ryan has a corn feild that is in the shape of a rectangle. The length is five meters more than the width. The perimeter is 210 meters.  

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Question 1123428: A bucket is in the shape of a truncated cone.The height of the bucket is 45 cm,and the diameters of the top and the bottom surfaces are 56 cm and 14 cm respectively.Find the the quantity (in litres) of the water the bucket can hold.

Answer by Boreal(9049) About Me  (Show Source):

You can put this solution on YOUR website!

V=(1/3)(r1^2+r1r2+r2^2)h*pi

=(1/3)*45*(28^2+196+49)*pi

=15(1029)*pi


A piece of paper is in the shape of a sector of a circle whose radius is 12 cm and the central angle of the sector is 120 degree.

It is rolled to form a cone of the biggest possible capacity.

Find the capacity of cone.

:

Find the total area of the sector

A = 120%2F360*pi%2A12%5E2

A = 150.8 sq/cm, this is surface area of the cone

:

Surface area (SA) of a cone without the end formula

The slant length (s) = the radius of the paper; 12 cm

pi%2Ar%2As+=+SA

pi%2Ar%2A12+=+150.8 , find r, the radius of the cone

r = 150.8%2F%2812%2Api%29

r = 4 cm is the radius

find the height of the cone

h = sqrt%28s%5E2-r%5E2%29

h = sqrt%2812%5E2-4%5E2%29

h = 11.3 cm is the height of the cone

Find the capacity (volume)

V+=+1%2F3*+pi%2Ar%5E2%2Ah

V = 1%2F3*pi%2A4%5E2%2A11.3

V = 189.33 cu/cm


6 0
3 years ago
Jess is building a skateboarding ramp in the shape of a triangular prism with the dimensions shown. If Jess wants to cover all f
vredina [299]

The image showing the dimensions is missing, so i have attached it.

Answer:

A = 156 square feet

Step-by-step explanation:

To find how much plywood Jesse will need to cover all the surface simply means we are to find the surface area.

The surface area of the triangular prism is given by;

A = (2 * (Area of the base)) + (Perimeter of base x height)

Now, area of the base=bh/2

b = 3 ft

h = 4 ft

area of the base = 3*4/2 = 6 ft²

perimeter of the base = L + b + h = 4 + 3 + 5 = 12 ft

height of the prism;h = 12 ft

Thus;

surface area of the triangular prism;

A = (2 * 6) + (12*12)

A = 12 + 144

A = 156 ft²

8 0
3 years ago
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