All categories

3 years ago

Find the surface area of the regular pyramid.

Mathematics

1 answer:

a_sh-v [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Base perimeter = side x 5 = 4 x 5 = 20 in

LA = (base perimeter x slant height)/2 = (20 x 8)/2 = 80 in^2

SA = base area + LA = 27.5 + 80 = 107.5 in^2

You might be interested in

Sam applies a force at 30° to the horizontal to move a football tackling dummy 10 m horizontally.

Basile [38]

Answer:

$F=\frac{32\sqrt{3}}{3}\text{\:or\:} \approx 18.48\:\text{N}$

Step-by-step explanation:

We can find the horizontal component of force he applied by using the formula for work:

$W=F\Delta x$

Solving for force, we have:

$160=F\cdot 10,\\F=16\:\text{N}$

However he applied the original force at an angle of $30^{\circ}$ to the horizontal. This force of 16 newtons is only the horizontal component of that force. To find the magnitude of the original force, we can use basic trigonometry:

$\cos 30^{\circ}=\frac{16}{x},\\x=\frac{16}{\cos 30^{\circ}},\\\\x=\frac{16}{\frac{\sqrt{3}}{2}},\\\\x=16\cdot\frac{2}{\sqrt{3}}=\frac{32}{\sqrt{3}}=\boxed{\frac{32\sqrt{3}}{3}}$

7 0

3 years ago

I need help and explain please

Otrada [13]

Answer:

Step-by-step explanation:

8 0

3 years ago

The district surveyed 780 sixth graders about their favorite movie of 2021. The results showed that 273 students named Tom and J

kumpel [21]

Answer:

Step-by-step explanation:

7 0

3 years ago

Jack Matthew bought a new diamond ring for $20,000. Sales tax is 5% with a 10% excise tax. The total price including taxes that

Blizzard [7]

Jack paid $ 23000 for the ring.

Solution:

Given that, Jack Matthew bought a new diamond ring for $20,000

Sales tax is 5% with a 10% excise tax

To find: total price including taxes

Given that sales tax is 5% of 20,000

$\begin{array}{l}{\text { Sales tax }=5 \% \times \text { cost price }} \\\\ {\text { Sales tax }=\frac{5}{100} \times 20000=5 \times 200=1000}\end{array}$

Also given that excise tax is 10%

$\begin{array}{l}{\text { Excise tax }=10 \% \times \text {cost price }} \\\\ {\text { Excise tax }=\frac{10}{100} \times 20000=10 \times 200=2000}\end{array}$

Total price = cost price + sales tax + excise tax

Total price = 20,000 + 1000 + 2000

Total price = 23000

Hence, jack paid $ 23000 for the ring.

5 0

4 years ago

Enny is a financial planner and wants to sell fixed-income investments. For this purpose, she requires a(n) certificate.

tatiyna

Answer: FINRA Series 7 certificate

Step-by-step explanation:

The best certificate for her to get is the Series 7 certificate that is issued by the Financial Industry Regulatory Authority (FINRA). This certificate allows the holder to trade in every type of security there is except commodities and futures.

This includes fixed-income investments which are what Enny would like to trade in. Enny will have to write an exam to prove that she has the basic knowledge required to trade.

8 0

3 years ago