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Crazy boy [7]
3 years ago
14

Find the missing lengths and leave answers as radicals in simplest form?

Mathematics
2 answers:
ElenaW [278]3 years ago
5 0

Answer:

x=6

y=3

Step-by-step explanation:

y(side)= x

x(side)=2x

3rd side (3\sqrt{3}) = x\sqrt{3}

x=3;

x= 2(3)=6

y=(3)=3

Daniel [21]3 years ago
4 0

Answer:

<em>x = 6 ; y = 3 </em>

Step-by-step explanation:

x = 2y

4y² = y² + 27

3y² = 27

y² = 9

<em>y = 3</em> and <em>x = 6</em>

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A factory makes light fixtures with right regular hexagonal prisms where the edge of a hexagonal base measures 4 cm and the leng
chubhunter [2.5K]

The maximum length of the prism is highest length of the hexagonal prism

The maximum length of each prism is 8.0 cm

<h3>How to determine the maximum length of each prism?</h3>

The surface area of the hexagonal prism is calculated using:

A = 6al + 3\sqrt3 a^2

Where:

a represents the edge length; a = 4 cm

l represents the length (or height) of the prism

The surface area costs $0.04 per square centimeter.

So, we have:

C = 0.04 * [6al + 3\sqrt3 a^2]

The maximum cost is $11.

So, the equation becomes

11 = 0.04 * [6al + 3\sqrt3 a^2]

Substitute 4 for a

11 = 0.04 * [6 * 4l + 3\sqrt3 * 4^2]

Evaluate the products and exponents

11 = 0.04 * [24l + 48\sqrt3]

Divide both sides by 0.04

275 = 24l + 48\sqrt3

Subtract 48\sqrt3 from both sides

24l = 275 - 48\sqrt3

Evaluate the difference

24l = 191.9

Divide both sides by 24

l = 8.0

Hence, the maximum length of each prism is 8.0 cm

Read more about surface areas at:

brainly.com/question/6613758

6 0
2 years ago
Teresa sold t-shirts at a festival and made a profit of $75. She made $4 for each t-shirt she sold. Her total expenses were $25.
Paha777 [63]
She sold 25 t-shirts cuz she made $75 and spent $25 which means she sold $100 worth of shirts which divided by $4 a piece is 25 t-shirts.

4 0
3 years ago
Factorise the following expressions 5x^2-25xy​
Natali [406]

Answer: 5x ( x - 5y )

Step-by-step explanation:

3 0
3 years ago
write and solve an equation to show thw average number of calendars her 3rd period class sold peer week during the four week cha
kari74 [83]
If they sold 89 calendars over 4 weeks, the 'equation' would look like (x = average calendars sold over 4 weeks):
x =  \frac{89}{4}

If you solve it, you get:
22 \frac{1}{4}

Which is equal to 22.25. Hope this helps!
5 0
3 years ago
¿Alguien sabe como realizarlo?
sashaice [31]
Hola! Intente resolverlo pero solo hice la primera por mi tiempo ahorita mismo y era:
f(0)=1
Toda la ecuación

7 0
2 years ago
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