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3 years ago

Find the erea of the trapezoid.

Mathematics

2 answers:

Yuri [45]3 years ago

7 0

Answer:

36 m²

Step-by-step explanation:

A = 1/2h × (sum of bases)

A = 1/2(4)(6 + 12)

A = 2·(18)

A = 36 sq m

Naily [24]3 years ago

4 0

Answer:

288

Step-by-step explanation:

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Kyle bought a DVD that cost $19.23, including tax. She gave the sales clerk a $20 bill. How much change should Kyle receive?

maxonik [38]

Answer: Kyle received $0.77

Step-by-step explanation:

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4 years ago

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Add and simplify (-4+n-2n^2)+(2-5n-6n^2)

Lelechka [254]

Your answer is - 2 - 4n - 8n² after you combine like terms.

7 0

3 years ago

A new building is being constructed at UT Austin. It is 200 feet tall, and has a

Mariana [72]

Answer:

Walkway is 3 feet wide.

Step-by-step explanation:

Given:

Length of the building is 150 ft

width of the building is 100 ft

walkway is x ft wide.

Total area(around and including the building) = 16536 square feet

Solution:

Length of the total area will be = length of the building + width of walkway from 2 sides = $150 +2x$

Width of the total area will be = width of the building + width of walkway from 2 sides = $100 +2x$

Now Total area(around and including the building) = Length of the total area $\times$ Width of the total area

$(150+2x)\times(100+2x)=16536\\15000+300x+200x+4x^2=16536\\500x+4x^2=16536-15000\\4(125x+x^2)=1536\\125x+x^2= \frac{1536}{4}=384\\$

$x^2+125x-384=0\\x^2-3x+128x-384=0\\x(x-3)+128(x-3)=0\\(x-3)(x+128)=0\\$

Now solving for both equation we get.

$x+128=0\\x=-128\\x-3=0\\x=3$

Now, We get 2 values for x which -128 and 3 but the width of the building can't be in negative value hence we will consider value of x be 3.

∴ Width of the walkway is 3 ft.

4 0

3 years ago

Read 2 more answers

You have 9 pieces of wood of different lengths that you are attempting to glue together that will have a length of exactly 10 in

Sauron [17]

The possible combinations are:
1,9
2,8
3,7
4,6
9,1
8,2
7,3
6,4

Total straws: 9
Probability of first being 1: 1/9
Probability of second being 9: 1/8
Probability of both: 1/9 x 1/8 = 1/72

This will be multiplied by 8 as there are 8 possible combinations:
8 x 1/72
= 8/72
= 1/9

8 0

3 years ago

If ∠R is given and the values of r and q are given, then explain whether the Law of Sines or the Law of Cosines should be used t

JulijaS [17]

Answer:

Law of Sines, two sides and an opposite angle are known

Step-by-step explanation:

We are given <R, which is an opposite angle to side r.

Side q is also given, which has an unknown opposite angle, <Q, of which we are required to find.

Since two sides and an opposite angle are known, The Law of Sines would be applied in solving for <Q.

Thus, the following would be used:

$\frac{sin(Q)}{q} = \frac{sin(R)}{r}$

3 0

3 years ago