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3 years ago

Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a

Mathematics

1 answer:

AlekseyPX3 years ago

6 0

Answer:

45 square inches

Step-by-step explanation:

Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom

Total surface = surface area of the base square + area of 4 triangles

Calculate the surface area of the base square

surface area of the square = s^2

where s= side length

s=3 in

The surface area of the base =s^2

=3^2

= 9 square inches

The surface area of the side triangles

The area of the triangle = (1/2)* side length* slant height

Side length=3 in

Slant height=6 in

substituting the values,

The area of the triangle =1/2*3*6

= 18/2

= 9 square inches

There are 4 triangles

The area of 4 triangles = 4 x 9

= 36 square inches

Therefore,

Total surface = surface area of the base square + area of 4 triangles

= 9 + 36

= 45 square inches

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3q+4+9=-14 <br> what is Q

BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

$\huge{3q+4+9=-14}$

We can add 4 and 9 together.

$\huge{3q+13=-14}$

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

$\huge{3q+13-13=-14-13}\\\huge{3q=-27}$

We are reaching to the final step where we divide the whole equation by 3.

$\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}$

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

$\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}$

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

5 0

3 years ago

At the movie theatre, child admission is $6.50 and adult admission is $9.70 . On Tuesday, four times as many adult tickets as ch

Rasek [7]

6.5c + 9.7a = 1721.4
a = 4c

6.5c + 9.7(4c) = 1721.4
6.5c + 38.8c = 1721.4
45.3c = 1721.4
c = 1721.4 / 45.3
c = 38...so there were 38 childrens' tickets <==
and 152 adult tickets

4 0

3 years ago

1/7 ÷ 2 =

e-lub [12.9K]

Hey there!

1/7 ÷ 2

= 1/7 ÷ 2/1

1/7 ÷ 2/1

Revert 2/1 to 1/2

1 × 1 / 7 × 2

1 × 1 = 1 ⬅ your NUMERATOR (top number)

7 × 2 = 14 ⬅ your DENOMINATOR (bottom number)

1(1) / 7(2) = 1/14

Answer: 1/14 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

5 0

3 years ago

What are the square roots of 81? I

ipn [44]

The square root of 81 is 9

7 0

3 years ago

Read 2 more answers

Answer fast its sue by end of class

shtirl [24]

Step-by-step explanation:

question 1. Solve the equation 8-7/10 c = 6 - 1/5c for c

8 - 7/10c = 6 - 1/5c

subtract 8 from both sides:

8 - 7/10c - 8 = 6 - 1/5c - 8

- 7/10c = -2 - 1/5c

add 1/5c to both sides:

- 7/10c + 1/5c = -2 - 1/5c + 1/5c

- 7/10c + 1/5c = -2

change to common denominator:

- 7/10c+ 2/10c = -2

- 5/10c = -2

-1/2c = -2

multiply both sides by -2:

- 1/2c(-2) = -2(-2)

c = 4

___________________________________

question 2. 75 - 3.5y - 4y = 4y + 6 for y

75 - 3.5y - 4y = 4y + 6

75 - 7.5y = 4y + 6

add 7.5y to both sides:

75 - 7.5y + 7.5y = 4y + 6 + 7.5y

75 = 11.5y + 6

subtract 6 from both sides:

75 - 6 = 11.5y + 6 - 6

69 = 11.5y

divide both sides by 11.5:

69/11.5 = 11.5y/11.5

y = 6

___________________________________

Question 3. Solve the equation 16.5 + 2.75h = 9h + 7.5 − 4.25h for h.

16.5 + 2.75h = 9h + 7.5 − 4.25h

16.5 + 2.75h = 4.75h + 7.5

subtract 7.5 from both sides:

16.5 + 2.75h - 7.5 = 4.75h + 7.5 - 7.5

9 + 2.75h = 4.75h

subtract 2.75h from both sides:

9 + 2.75h - 2.75h = 4.75h - 2.75h

9 = 2h

divide both sides by 2:

9/2 = 2h/2

h = 9/2

6 0

1 year ago