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Nadusha1986 [10]
3 years ago
13

Martin builds a right square pyramid using straws. A diagram of the pyramid and its net are shown.

Mathematics
2 answers:
Vlad [161]3 years ago
6 0
Maybe 45 but get someone else to check
Rom4ik [11]3 years ago
4 0

Answer:

39\text{ inch}^2  

Step-by-step explanation:

We have been given diagrams of a pyramid and its net are shown.  We are asked to find the surface area of our given pyramid.

The surface area of our pyramid would be equal to the area of all faces of the given net of pyramid.

We can see that our given net consists 4 triangles ans one base square.

\text{Area of triangle}=\frac{1}{2}\times b\times h, where,

b = Base of triangle,

h = Height of triangle.

\text{Area of 4 triangles}=4\times \frac{1}{2}\times 3\text { in} \times 5\text { in}

\text{Area of 4 triangles}=2\times 3\text { in}\times 5\text { in}

\text{Area of 4 triangles}=30\text { in}^2

\text{Area of square}=a^2, where,  

a = Each side of square.

\text{Area of square}=(3\text { in})^2

\text{Area of square}=9\text { in}^2

\text{Total surface area of pyramid}=30\text{ inch}^2+9\text{ inch}^2

\text{Total surface area of pyramid}=39\text{ inch}^2

Therefore, the total surface area of the given pyramid would be 39 square inches.

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Brittany is asked about her age. She answers as follows. "My age is 10 more than twice the age of my younger brother." How old i
blagie [28]

Answer:

12

Step-by-step explanation:

x will be the age of her younger brother

 34 = 2x + 10

She is ten more than twice his age

 34 = 2x + 10

- 10         - 10

Then she twice his age

24 = 2x

÷2   ÷2

So his age is 12

x = 12

6 0
3 years ago
(-4,-6) and (3,-7) find the distance between each pair of points
Vlad [161]

Answer:

5\sqrt{2}

Step-by-step explanation:

distance between two points:

d = \sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}}

we have:

(-4, -6), (3, -7)

x_{1} = -4

y_{1} =-6

x_{2} = 3

y_{2} =-7

so we have:

d =\sqrt{(3-(-4))^{2}+ (-7-(-6))^{2}}\\\\d =\sqrt{(7)^{2}+ (-1)^{2}}\\\\d = \sqrt{49+ 1}\\\\d=\sqrt{50}\\\\d=5\sqrt{2}

4 0
3 years ago
Read 2 more answers
The height h(n) of a bouncing ball is an exponential function of the number n of bounces.
Digiron [165]

Answer:

The height of a bouncing ball is defined by h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}.

Step-by-step explanation:

According to this statement, we need to derive the expression of the height of a bouncing ball, that is, a function of the number of bounces. The exponential expression of the bouncing ball is of the form:

h = h_{o}\cdot r^{n-1}, n \in \mathbb{N}, 0 < r < 1 (1)

Where:

h_{o} - Height reached by the ball on the first bounce, measured in feet.

r - Decrease rate, no unit.

n - Number of bounces, no unit.

h - Height reached by the ball on the n-th bounce, measured in feet.

The decrease rate is the ratio between heights of two consecutive bounces, that is:

r = \frac{h_{1}}{h_{o}} (2)

Where h_{1} is the height reached by the ball on the second bounce, measured in feet.

If we know that h_{o} = 6\,ft and h_{1} = 4\,ft, then the expression for the height of the bouncing ball is:

h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}

The height of a bouncing ball is defined by h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}.

5 0
3 years ago
Read 2 more answers
The equation, y = (1/4)x, is an example of what kind of variation?
lakkis [162]

Answer:

I would stay direct vartation

Step-by-step explanation:

For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

3 0
3 years ago
How do you round 699 to the nearest tenth.
Nadusha1986 [10]
700 because the 9 in the tenth place is larger than 5
6 0
3 years ago
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