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3 years ago

Which expression can be used to find the surface area of the following square pyramid?

Mathematics

1 answer:

pantera1 [17]3 years ago

4 0

Answer:

4[1/2(5 x 6)] + 6x6

Step-by-step explanation:

The first part of the expression is 4[1/2(5 x 6)]. This is the formula to find the surface area of the triangles. A regular triangle's area is 1/2(l*w). Since there are four trinagles, you have to multiply the whole expression by 4.

The second part of the equation is finding the surface area of the base which is a square. Since squares have four equal sides, its safe to say that you can use 6 * 6.

Hope that helped!

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Which point on the graph shows the amount of water in the bucket after 1 second? Hint: Type your answer in the form (x coordinat

Taya2010 [7]

Answer:

$\displaystyle \left(1,\frac{5}{12}\right)$

Step-by-step explanation:

Graphs

The graph shows the amount of water in gallons as a function of time in seconds.

We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.

Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

$w=mt+b$

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.

Using the point (0,0):

$0=m(0)+b$

It follows that b=0

The equation now takes the form:

$w=mt$

Using the point (12,5):

$5=m(12)$

We find m:

$\displaystyle m=\frac{5}{12}$

The final equation is:

$\displaystyle w=\frac{5}{12}\cdot t$

Substituting t=1:

$\displaystyle w(1)=\frac{5}{12}\cdot (1)=\frac{5}{12}$

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:

$\boxed{\displaystyle \left(1,\frac{5}{12}\right)}$

6 0

3 years ago

PLEASE HURRY Which equation of a line passes through the points (3, -1) and (6, 1)?

LenKa [72]

To write the equation of line in y = mx + b form, we need

to identify the slope of the line and the y-intercept.

I would start by setting up a coordinate

system and plotting both points.

I have shown this below.

Let's start with our first point, (3, -1) which we call point A.

Now our second point, (6, 1) which we call point B.

To get from point A to point B, we rise 2 units and run 3 units.

So we know that our slope is 2/3.

However, we need the y-intercept.

Remember, this is the point where the line crosses the y-axis.

Since point B is farther from y-axis,

we need to go in the other direction.

So starting at point A, we go down 2 and to the left 3.

Remember, -2/-3 is 2/3 since a negative/negative = positive.

Now plot point C.

Notice that point C is on the y-axis.

It has the coordinates (0,-3).

Now we know our slope and y-intercept.

So our equation reads 2/3x - 3.

The slope is positive since the line is going up.

7 0

3 years ago

Please Help me I am struggling a lot and I would be very grateful!!!

yKpoI14uk [10]

The answer would be iii: 10-15%
the way to find this is to divide 43 by 381 to get 11.2% which falls in the rage of 10-15%

5 0

3 years ago

The difference between a and b is 10. The number a is 4 more than 3 times the number b. Which of the following pairs of equation

k0ka [10]

Answer:

D. a−b=10 a=3b+4

Step-by-step explanation:

Difference between a and b means to subtract b from a

We have,

a-b=10

a is 4 more than 3 times b

4 more than means to add 4

3 times b means to multiply b by 3

Therefore, a=3 times b + 4

a=3b+4

a - b=10; a=3b+4

4 0

4 years ago

If two halves of two whole 1/2 are added to two whole 1/2 the result is

jekas [21]

1 is the answer hope this helps

8 0

4 years ago

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