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True [87]
2 years ago
14

Need help ASAP!

Mathematics
1 answer:
Tems11 [23]2 years ago
8 0
The answer is 432 mm
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A painting set is shipped in the box shown. The surface area is printed with advertisements.
Shkiper50 [21]

Answer:

528in

Step-by-step explanation:

SA formula: 2Lw + 2Lh + 2hw

for this box: 2(4×10)+2(10×16)+2(4×16)

2(40)+2(160)+2(64)

80+320+128

80+448

<u>528in</u>

3 0
3 years ago
What is 0.5, three sixteenths, 0.75, and five and forty eighths in order from least to greatest
butalik [34]
I'm just estimating here, 
5/48,3/16,0.5,0.75
8 0
3 years ago
Use triangle ABC drawn below &amp; only the sides labeled. Find the side of length AB in terms of side a, side b &amp; angle C o
Brrunno [24]

Answer:

AB = \sqrt{a^2 + b^2-2abCos\ C}

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

Sin\ C = \frac{h}{a}

Make h the subject:

h = aSin\ C

Also, in BOC (Using Pythagoras)

a^2 = h^2 + x^2

Make x^2 the subject

x^2 = a^2 - h^2

Substitute aSin\ C for h

x^2 = a^2 - h^2 becomes

x^2 = a^2 - (aSin\ C)^2

x^2 = a^2 - a^2Sin^2\ C

Factorize

x^2 = a^2 (1 - Sin^2\ C)

In trigonometry:

Cos^2C = 1-Sin^2C

So, we have that:

x^2 = a^2 Cos^2\ C

Take square roots of both sides

x= aCos\ C

In triangle BOA, applying Pythagoras theorem, we have that:

AB^2 = h^2 + (b-x)^2

Open bracket

AB^2 = h^2 + b^2-2bx+x^2

Substitute x= aCos\ C and h = aSin\ C in AB^2 = h^2 + b^2-2bx+x^2

AB^2 = h^2 + b^2-2bx+x^2

AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2

Open Bracket

AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C

Reorder

AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C

Factorize:

AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C

In trigonometry:

Sin^2C + Cos^2 = 1

So, we have that:

AB^2 = a^2 * 1 + b^2-2abCos\ C

AB^2 = a^2 + b^2-2abCos\ C

Take square roots of both sides

AB = \sqrt{a^2 + b^2-2abCos\ C}

6 0
3 years ago
A line has a slope of -
Afina-wow [57]

Answer:

(-8, 8) and (2, 2)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
You and your friend drive toward each other. The equation 50h=190−45h represents the number h of hours until you and your friend
Gala2k [10]

Answer:

The answer is 2 hours later.

Step-by-step explanation:

In order to find how many hours you and your friend meet, you have to solve the equation to find h :

50h = 190 - 45h

50h + 45h = 190

95h = 190

h = 190 \div 95

h = 2

5 0
3 years ago
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