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3 years ago

Find the total surface area of the following square pyramid: 6 cm 8 cm

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

Answer:

Surface area of square pyramid = $160cm^{2}$

Step-by-step explanation:

Let, b is the length of the base and s is the slant height

According to given condition:

b = 8 cm

s = 6 cm

Find out:

Surface area of square pyramid = ?

Formula:

Surface area of square pyramid = $b^{2} + 2bs$

Solution:

Surface area of square pyramid = $b^{2} + 2bs$

Surface area of square pyramid = $8^{2} + 2(8)(6)$

Surface area of square pyramid = $(64+ 96 ) cm^{2}$

Surface area of square pyramid = $160cm^{2}$

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Which expression represents the cost of the mulch based on the radius of the circle

Ann [662]

Answer:

This area is represented by the function m (x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay $1.50 per square foot of mulch. This cost is represented by the function g (m), where m is the area requiring mulch.

Step-by-step explanation:

4 0

3 years ago

This is another one yet do i not get? help!

andreyandreev [35.5K]

Answer:

Rate of Interest is $20\%$

Step-by-step explanation:

Given that

$I=\$ 300, P=\$3000$

and T=0.5 years

To find rate of interest

We have I=PRT

Therefore

$R=\frac{I}{PT}\times 100$

$R=\frac{300}{(3000)(0.5)}\times 100$

$=\frac{1}{10(0.5)}\times 100$

$=20\%$

Therefore $R=20\%$

Rate of Interest is $20\%$

8 0

3 years ago

16 m, 21 m, 39 m in geometry tryna find out how to measure the side length that could form a triangle

Lera25 [3.4K]

Step-by-step explanation:

The given measurements are:

16 m, 21 m, 39 m

We know that, it is only possible to form a triangle if sum of the measures of any two lengths is always grater than the measure of third length.

$\therefore \: 39 + 21 = 60 > 16 \\ \\ \: \: \: \: \: \: 16 + 39 = 55 > 21 \\ \\ \: \: \: \: \: \: 16 + 21 = 37 \ngtr39 \\ \\ \because \: last \: mathematical\: statement \: is \:\\ defying \: the \: above \: law \\$

Therefore, it is not possible to form a triangle with given measurements.

8 0

3 years ago

A force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching it

-BARSIC- [3]

Answer:

The work done in stretching it from its natural length to 14 in. beyond its natural length is W=8.17 ft-lb.

Step-by-step explanation:

We know that a force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length.

This let us calculate the spring constant k as:

$F=kx\\\\k=F/x=(8 \;lb)/(8\;in)=1\;lb/in$

We know that work is, in an scalar form, the product of force and distance.

The force F is equal to the spring constant multiplied by the distance from the natural length.

Then, as the force changes with the distance from the natural length, we have to calculate integrating:

$W=\int_0^{14}F\,dx=\int_0^{14}kx\,dx\\\\\\W=\dfrac{1}{2}kx^2\left|^{14}_0=\dfrac{1}{2}(1\,lb/in)(14 \,in)^2-\dfrac{1}{2}(1\,lb/in)(0 \,in)^2$

$W=98lb\cdot in-0lb-in\\\\W=98(lb\cdot in)\cdot \dfrac{1 \,ft}{12\,in}=8.17\;lb\cdot ft$

5 0

3 years ago

Create2 ratios that are equivalent to the ratios below6:10 answer

Andrews [41]

Answer:

3:5, 12:20

Step-by-step explanation:

A ratio is basically just a fraction. Therefore, 6:10 is just 6/10, or 3/5, or 3:5. It's the same thing as a fraction, just with a colon.

Thus, all you need is two equivalent fractions to 6/10. Examples are 3/5, 12/20, 30/50, etc. After you find the fractions, you just need to put them back into ratio form, so 3:5, 12:20, 30:50, etc.

4 0

3 years ago