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2 years ago

Number of diagonals in a 10 sided figure are

Mathematics

1 answer:

Alex2 years ago

8 0

Answer:

35 diagonals in decagon

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F(X) = (x + 5)(x - 1)

marusya05 [52]

Answer:

X=-5 or X=1

Step-by-step explanation:

f(x)=(x+5)(x-1)

(x+5)(x-1)=0

x=-5 orx=1

4 0

2 years ago

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

$V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3$

rounding to the nearest cubic inch: $V=196in^3$

4 0

3 years ago

Two objects are moving along separate linear paths where each path is described by position, d, and time, t. The variable d is m

Leni [432]

Answer:

it would start at 2.2 on the y axis and go up 2.5 and over 1

Step-by-step explanation:

4 0

2 years ago

A triangular prism has a volume of 2500 cubic feet. What is the length of the prism if its triangular bases are right triangles,

seraphim [82]

Answer:

25 ft

Step-by-step explanation:

V = AH, where A = area of the base, and H = height (length) of the prism

A = bh/2 for a triangle

V = bh/2 × H

2500 = (10)(20)/2 × H

2500 = 100H

H = 25

Answer: 25 ft

5 0

1 year ago

9+4+3+5+1+0+1+0+0 divided by 8

Lana71 [14]

Answer:

3.875

Step-by-step explanation:

Add all of them then divide.

5 0

3 years ago

Read 2 more answers