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mariarad [96]
4 years ago
11

A tabletop is in the shape of a trapezoid. The lengths of the trapezoid's parallel sides are 48 inches and 40 inches. The height

of the trapezoid is 24 inches.
What is the area of this tabletop?

112 in²
1056 in²
2112 in²
23,040 in²
Mathematics
2 answers:
goldenfox [79]4 years ago
4 0
The equation is
area =  \frac{1}{2} (a + b)h
If you put in the numbers you get
area =  \frac{1}{2} (48 + 40) \times 24
This comes to 1056. So the answer is 1056 in^2

maw [93]4 years ago
3 0
The answer would be 1056 <span>in²</span>

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What expression should replace A,B,C
ser-zykov [4K]

Answer:

A = 5x + 3y

B = 8x + 5y

C = 15x + 11y

Step-by-step explanation:

B = 6x + 2y + 2x + 3y

= 6x + 2x + 2y + 3y

= 8x + 5y

C = 8x + 5y + 7x + 6y

= 8x + 7x + 5y + 6y

= 15x + 11y

A = 7x + 6y - 2x - 3y

= 7x - 2x + 6y - 3y

= 5x + 3y

3 0
3 years ago
Write an equation for the statement. Then, solve the equation:
Diano4ka-milaya [45]

Answer:

V = 125.6 in³

Step-by-step explanation:

let V be volume, h the height and r the radius, then the equation relating the quantities is

V = khr² ← k is the constant of variation

To find k use the condition V = 402.12, h = 8, r = 4

402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )

3.14 = k [ note 3.14 is π )

V = 3.14hr² ← equation of variation [ V = πr²h ]

Given r = 2 and h = 10, then

V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6

4 0
3 years ago
For any two documents x and z, define k(x; z) to equal the number of unique words that occur in both x and z (i.e., the size of
liq [111]

Answer:

Yes, the function is a kernel

Step-by-step explanation:

Given

Document x an z

Function definition! k(x:z)

We want to show that the above is a kernel.

To do this, we'll explicitly construct feature vectors φ(x) and φ(z)

This gives;

K(x,z) =φ(x)·φ(z).

Given than any document; say x and z

A vocabulary V can be constructed.

Vocabulary V must have a finite size of words in the document set..

The feature mapping is constructed as φ(x) for x by the following:

For the kth word wk in V, if wk appears in document x, assign φ(x) k(the kth element ofφ(x)) to be 1; else φ(x)k to 0.

Then the number of unique words common in x and z is φ(x)·φ(z), giving us the kernel

.

7 0
3 years ago
A college student earned $7200 during summer vacation working as a waiter in a restaurant on the boardwalk at the beach. The stu
Agata [3.3K]

Answer: The amount invested at 10% was $3200.

Step-by-step explanation:

Since we have given that

Principal amount = $7200

Rate of interest are 10% and 9%.

Total interest = $680

Let the amount invested on 10% be 'x'.

Let the amount invested on 9% be '7200-x'.

According to question, we get that

\dfrac{x\times 10}{100}+\dfrac{(7200-x)\times 9}{100}=680\\\\10x+64800-9x=680\times 100\\\\x+64800=68000\\\\x=68000-64800\\\\x=\$3200

Hence, the amount invested at 10% was $3200.

3 0
4 years ago
Factor 3r6 – 11r5 – 20r1 completely. 3r6 – 11r) – 20r! - =​
BabaBlast [244]

Answer:

-57

Step-by-step explanation:

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multiply calculate

18r-55r-20r

collect like terms

-57

5 0
3 years ago
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