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UNO [17]
2 years ago
5

Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the

cake in frosting, even the bottom of the cake.

Mathematics
1 answer:
nikitadnepr [17]2 years ago
8 0

Answer:

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

<em>Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake. </em>

<em>How much space does Lacey's mom cover in frosting? </em>

My answer:

As we know that the surface area of the the cake is made up of rectangles. The formula for find the area of a rectangle is A = lw

  • The area of rectangle ABCD: 4*2 = 8
  • The area of rectangle ADFE : 12*2 = 24
  • The area of rectangle TJVS : 4*2 = 8
  • The area of rectangle ESFV :9*2 = 18
  • The area of rectangle HTJG: 5*2 = 10
  • The area of rectangle CBHG: 2*8 = 16

The area of CDEVGJ = ABHTFS

= 4*12 + 4*5

= 68

So the total area is: 68 +68  +16+10+18+8+24+8 = 220

Hope it will find you well

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anzhelika [568]
You need to solve for one variable in equation 1 and substitute it in equation 2 to solve.

Equation 1: x+y=24
x= number of 3 pt questions
y= number of 5 pt questions
24= Total number of questions

Equation 2: 3x+5y=100
100= Total point value possible on test
3x= point value of 3 pt questions
5y= point value of 5 pt questions

x+y=24
Subtract y from both sides
x=24-y

Substitute in equation 2:
3x+5y=100
3(24-y) +5y=100
72-3y+5y=100
72+2y=100
Subtract 72 from both sides
2y=28
Divide both sides by 2
y=14

Substitute y=14 back in to solve for x:
3x+5y=100
3x+5(14)=100
3x+70=100
Subtract 70 from both sides
3x=30
Divide both sides by 3
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So there are 10 three point questions
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Hope this helped! :)
6 0
2 years ago
Read 2 more answers
Tape travels through a tape player at a speed 0.048 meters per seconds. How long is tape that can play for 30 minutes
Vadim26 [7]
OK So this is how u do this:- 

0.048*30=1.44

Hope I helped:D 



8 0
2 years ago
Quadrilateral ABCD is inscribed in circle P as shown. Which statement is necessarily true? A. `"m"/_A +"m"/_B = "m"/_C + "m"/_D
pogonyaev

Opposite angles of an inscribed quadrilateral are supplementary, so it is true that ...

... B. m∠A + m∠C = m∠B + m∠D . . . . . = 180°

3 0
2 years ago
Find the value of z such that 0.9722 of the area lies between −z and z. Round your answer to two decimal places.
Amiraneli [1.4K]

Answer:

-2.20 < z < 2.20

Step-by-step explanation:

You are saying the entire area = 0.9722

so    1 - 0.9722 = 0.0278

then  we want it to fit in the middle of the normal curve with center 0

so...

0.0278/2 =0.0139  this corresponds to 2.20  on the z-score chart

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2 years ago
A triangle is such that the largest angle is 7 times the smallest angle. The third angle is 15 less than the largest angle. Find
Tcecarenko [31]

Answer:

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

Step-by-step explanation:

Let's recall that the interior angles of a triangle add up to 180°, therefore we have:

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Largest angle = 7x

Third angle = 7x - 15

Now, we can solve for x, using the following equation:

x + 7x + 7x - 15 = 180

15x = 180 + 15

15x = 195

x = 195/15

x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

8 0
2 years ago
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