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3 years ago

A paperweight has the shape of a regular triangular Pyramid find the area of the paperweight

Mathematics

1 answer:

s2008m [1.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

area of a triangular pyramid = base area + 3(triangular sides area)

= 1/2 (5) 4.3 + 3 (1/2 x 5 x 8)

= 10.75 + 3(20)

= 70.75 in²

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Points D, E, and F are on circle C and EF ≅ DF. Circle C is shown. Line segments D C and E C are radii. Point F is on the opposi

8090 [49]

Answer:

Letter C: 26

Step-by-step explanation:

Just took the test e2020

4 0

3 years ago

Read 2 more answers

Determine the recursive function that defines the sequence.

Strike441 [17]

<h2>Answer:</h2>

Option: C is the correct answer.

C. $f(1)=4\\\\f(n)=5\cdot f(n-1)\ ;\ n\geq 2$

<h2>Step-by-step explanation:</h2>

Recursive Formula--

It is the formula which is used to represent the nth term of a sequence in terms of (n-1)th term of the sequence.

Here we are given a table of values by:

n f(n)

1 4

2 20

3 100

i.e. when n=1 we have:

$f(1)=4$

Also,

$f(2)=20\\\\i.e.\\\\f(2)=5\cdot 4\\\\i.e.\\\\f(2)=5\cdot f(1)$

Also,

$f(3)=100\\\\i.e.\\\\f(3)=5\cdot 20\\\\i.e.\\\\f(3)=5\cdot f(2)$

Hence, the recursive formula is:

$f(n)=5\cdot f(n-1)\ for\ n\geq 2$

5 0

4 years ago

The surface area of a cube is represented by the expression below, where s is the side length of the cube. Find the surface area

Dmitry [639]

Answer:

486 centimeters³

Step-by-step explanation:

Surface area of a cube = 6s²

Where,

s = side length

Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.

s = 9 centimeters

Surface area of a cube = 6s²

= 6 × 9²

= 6 × 81

= 486 centimeters³

Surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters 486 centimeters³

8 0

3 years ago

3. Alice took out a simple interest loan to purchase carpet for her house. The interest on the loan

hjlf

Answer:

The price of the carpet was $\$3,697.20$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Price of the carpet

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=3\ years\\ P=\$?\\ I=\$1,081.43\\r=0.0975$

substitute in the formula above

$1,081.43=P(0.0975*3)$

$1,081.43=P(0.2925)$

Solve for P

$P=1,081.43/(0.2925)$

$P=\$3,697.20$

4 0

3 years ago

What is the simplest form of the expression sqrt3-sqrt6<br> ------------------ <br> sqrt3+sqrt6

Solnce55 [7]

Multiply numerator and denominator by
$\frac{ \sqrt{3} -\sqrt{6} }{ \sqrt{3} = \sqrt{6} } 
$

Things should simplify pretty nicely.

6 0

4 years ago