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Mariulka [41]
3 years ago
12

Calculate the surface area of the following prism

Mathematics
1 answer:
ioda3 years ago
4 0

Answer:

63sq. meters

Step-by-step explanation:

The Surface area of the pyramid = 2B + ph

Base area B = 1/2 * 2 * 1.5

B = 1 * 1.5

B = 1.5m²

Perimeter of the base = 2 + 1.5 + 2.5

p = 6m

Height of the priscm = 10m

Substitute into the formula;

TSA = 2(1.5) + 6(10)

TSA = 3.0 + 60

TSA = 63sq. meters

Hence the surface area is 63sq. meters

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HELP ASAP thank you SO much in advance (fake and spam responses will be reported) 
valina [46]
1.B -  - original function is y = sqrt(x). If we make sqrt(x+4), we will move the original function to the left 4. If we make sqrt(x+4)+3, additionally the original function will be moved up 3.
 
2.D - original function is y = sqrt(x). If we make sqrt(x-7), we will move the original function to the right 7. If we make 5*sqrt(x-7), additionally the original function will be expanded throw the y-axis.

3.E - original function is y = x^5. If we make -x^5 (multiply x^2 by -1), we will reflect the original function over the x-axis. If we make -x^5 - 4 , we additionally will move the original function down 4.

4.C - original function is y = x^2. If we make (x-3)^2, we will move the original function to the right 3. If we make x^2 - 5 , we will move the original function down 5.

5.A - original function is y = x^2. If we multiply x^2 by 1/3, function will be compressed about the y-axis.
3 0
3 years ago
AABC ~ AXYZ
Virty [35]

<u>Answer:</u>

  • The value of s is 12.

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

<u>We know that:</u>

  • ΔABC ≅ ΔXYZ

<u>Work:</u>

  • [{6 + (1/2 x 6)} + <u>{8 + (1/2 x 8}</u> + {BC + (1/2 x BC) = 9 + <u>s</u> + YZ
  • => s = 8 + (4)
  • => s = 12

Hence, <u>the value of s is 12.</u>

Hoped this helped.

BrainiacUser1357

4 0
2 years ago
2018 copper penny struck at the Philadelphia mint in 1794 was sold for 345000 rate of return
vodomira [7]

Answer:

The rate of return is 8%.

Step-by-step explanation:

The time span from 1794 to 2018 is (2018 - 1794) = 224 years.

Now, a penny i.e. 0.01 pounds of money as a principal gets the final sum of 345000 pounds after 224 years.

Here we have to calculate the rate of return if the interest is compounded yearly.

Using the formula of compound interest of r% APR, we get

345000 = 0.01 (1 + \frac{r}{100})^{224}

⇒ 1 + 0.01r = 1.08

⇒ 0.01r = 0.08

⇒ r = 8% (Answer)

6 0
4 years ago
The length of a violin string varies inversely with the frequency of its vibrations. A violin string 14 inches long vibrates at
lara31 [8.8K]

Answer: 525 cycles per second.

Step-by-step explanation:

The equation for inverse variation between x and y is given by :-

x_1y_1=x_2y_2       (1)

Given : The length of a violin string varies inversely with the frequency of its vibrations.

A violin string 14 inches long vibrates at a frequency of 450 cycles per second.

Let x =  length of a violin

y=  frequency of its vibrations

To find: The frequency of a 12 inch violin string.

Put x_1=14,\ x_2=12\\y_1=450,\ y_2=y in equation (1) , we get

(14)(450)=(12)(y)  

Divide both sides by 12 , we get

y=\dfrac{(14)(450)}{12}=525

Hence, the frequency of a 12 inch violin string = 525 cycles per second.

3 0
3 years ago
| y-5) = 45<br> how you find y ?
frozen [14]

Answer:

y=45+5

=50

Step-by-step explanation:

8 0
4 years ago
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