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3 years ago

The diagram shows the net of a square pyramid.

Mathematics

1 answer:

fenix001 [56]3 years ago

4 0

Answer:

Given,

Base (b) = 16 cm

slant Height (h) = 15 cm

a= 8 cm {a is the half of base}

x = ?

Using Pythagoras Theorem

p^2 = h^2 - b^2

x^2= 15 - 8

x^2 = 7

x = 2.64 cm

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Amanda makes colored paper cone cups to serve nuts at a charity event. The height of each paper cone is 15 centimeters, and the

allsm [11]

Answer:

$V=261.80 \ cm^3$

Step-by-step explanation:

-The volume of a cone is given by the formula:

$V=\pi r^2 \frac{h}{3}$

Where:

r is the cone's radius.
h is the cone's height.

#We substitute for r and h in the formula to solve for V:

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi \times 5^2\times 10\\\\=261.80\ cm^3$

Hence, the each cone's volume is $261.80 \ cm^3$

8 0

3 years ago

Can anyone help I have tried finish for days

devlian [24]

Answer:

34 degrees.

Step-by-step explanation:

First of all, the sum of a triangle's degree is 180.

The angle next to the 101 is 79 degree due to the rule of supplementary angle. The angle vertical to 28 is also 28. (Vertical angles are equal).

Now we now the two side, we can figure out the last side.

180-28-79= 73

The last angle is 73 degrees. However, we are looking for x.

x+39=73

All we have to do now is subtract 39 from 73, and that leaves us with 34.

8 0

2 years ago

Quick!!

Ira Lisetskai [31]

Answer:

c) three

-----------------------------------------------------------------------------------------------------------------

Step-by-step:

The tetrahedron is a triangular pyramid with equilateral triangles on each face.

3 0

2 years ago

Read 2 more answers

A club puts its members into 5 groups for an activity. After 7 students have to leave early, there are only 3 students left to f

soldier1979 [14.2K]

Answer:

I think that there were 12 students in each group fam.

Step-by-step explanation:

I dont really know so dont get mad at me if i am wrong dude

6 0

3 years ago

Find the equation of the line with slope −5 and that contains the point (−9,−5). Write the equation in the form y=mx+b and ident

Elina [12.6K]

Answer & Step-by-step explanation:

Slope-intercept form:

$y=mx+b$

m is the slope and b is the y-intercept. Insert the given slope:

$y=-5x+b$

To find the y-intercept, take the given coordinate point and insert:

$(-9_{x},-5_{y})\\\\-5=-5(-9)+b$

Solve for b:

Simplify multiplication:

$-5=45+b$

Subtract 45 from both sides:

$-50=b\\\\b=-50$

The y-intercept is -50. Insert:

$y=-5x-50$

$m=-5\\b=-50$

Use the slope formula for when you have two points:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}$

The slope is the change in the y-axis over the change in the x-axis, or rise over run. Insert the points:

$(2_{x1},4_{y1})\\(10_{x2},2_{y2})$

$\frac{2-4}{10-2}=\frac{-2}{8}=-\frac{2}{8}=-\frac{1}{4}$

The slope is $-\frac{1}{4}$ . Insert:

$y=-\frac{1}{4}x+b$

Now follow the steps from the last problem to find the y-intercept. Choose a point and insert into the equation:

$(2_{x},4_{y})\\\\4=-\frac{1}{4}(2)+b$

Solve for b:

Simplify multiplication:

$-\frac{1}{4}*\frac{2}{1}=-\frac{2}{4}=-\frac{1}{2}$

Re-insert:

$4=-\frac{1}{2} +b$

Subtract b from both sides:

$4-b=-\frac{1}{2} +b-b\\\\4-b=-\frac{1}{2}$

Subtract 4 from both sides:

$4-4-b=-\frac{1}{2}-4\\\\-b=-\frac{1}{2}-4$

Simplify subtraction:

$-\frac{1}{2}-4=-\frac{1}{2} -\frac{4}{1} =-\frac{1}{2} -\frac{8}{2} \\\\-\frac{1}{2} -\frac{8}{2}=-\frac{9}{2}$

Re-insert:

$-b=-\frac{9}{2}$

Divide both sides by -1 to make the variable positive (can be seen as -1b):

$b=\frac{9}{2}$

The y-intercept is $\frac{9}{2}$ .

Write the equation:

$y=-\frac{1}{4}x+\frac{9}{2}$

:Done

7 0

3 years ago