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3 years ago

Determine which choice best shows the distributive property of multiplication.

Mathematics

1 answer:

WITCHER [35]3 years ago

4 0

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

Distributive property of multiplication

The distributive property of multiplication

a(b+c) = a b + a c

(a+b)c = ac + bc

6× (9+8) = (6× 9) + (6×8)

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How do I solve this question? Rayne sold 3 desks at a local trade show. he payed $4.00 to rent the booth. he gave half of his re

ra1l [238]

Answer:

$125

Step-by-step explanation:

I suspect there's an error in the problem statement. Revenue is the money made from selling the desks. Profit is the revenue from the desks minus the cost of the booth rental.

If Rayne gives half of his profit to the carpenter, and x is the price per desk, then:

185.50 = ½ (3x − 4)

371 = 3x − 4

375 = 3x

x = 125

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4 years ago

Please answer this question fast in two minutes

ahrayia [7]

Answer:

(7, 8)

Step-by-step explanation:

Midpoint Formula: $(\frac{x1+x2}{2}, \frac{y1+y2}{2})$

Simply set our midpoint and given point equal into a formula to find the other endpoint:

4 = (1 + x)/2

8 = 1 + x

x = 7

6 = (4 + y)/2

12 = 4 + y

y = 8

4 0

4 years ago

Use the figure to answer the question. What is the area of the triangle on the left?

Anna11 [10]

Answer: 15

Step-by-step explanation:

Area of a triangle = base * height.

Since the inside figure is a square, the base of the triangle must be 5.

To find the height: The length of the entire figure is 17; subtract 5 to account for the square, and you know that the remaining 12 must be divided easily on the right and left side; this shows that the height of the triangle on the left must be 6.

Plug these numbers into the formula: 5 * 6 / 2 = 15 :)

6 0

3 years ago

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Find the coefficient of x^8 in the expansion of (x^2-2/x)^7

Nady [450]

Answer:

So, the coefficient of x8 in the given expansion will be 210.

Step-by-step explanation:

We know,

General term in (x+a)n is given by,

Tr+1=C(n,r)xn−rar

∴ General term in (x2−1x)10 ,

Tr+1=C(10,r)(x2)10−r(−1x)r

⇒Tr+1=(−1)rC(10,r)x20−2rx−r

Now, we have to find the term having coefficient x8.

∴20−2r−r=8⇒r=4

So, T5 will have coefficient x8.

∴T5=(−1)4C(10,4)x8

⇒T5=10⋅9⋅8⋅74⋅3⋅2⋅1x8

⇒T5=210x8

5 0

3 years ago

Part 5. Use the laws of sines. Please show work. Round to the nearest tenth.

vlabodo [156]

Answer: 17) 41.0° 18) 60.8° 19) 36.0° 20) 19.7°

Step-by-step explanation:

Law of Cosines: a² = b² + c² - 2bc · cos A

b² = a² + c² - 2ac · cos B

c² = a² + b² - 2ab · cos C

17) a = 29, b = 13, c = 21, C = ???

c² = a² + b² - 2ab · cos C

21² = 29² + 13² - 2(29)(13) · cos C

441 = 841 + 169 - 754 cos C

441 = 1010 - 754 cos C

-569 = -754 cos C

$\dfrac{569}{754}=\cos C\\\\\cos^{-1}\bigg(\dfrac{569}{754}\bigg)=C$

41.0° = C

18) a = 29.3, b = 25.7, c = 16.8, B = ???

b² = a² + c² - 2ac · cos B

25.7² = 29.3² + 16.8² - 2(29.3)(16.8) · cos B

660.49 = 858.49 + 282.24 - 984.48 cos B

660.49 = 1140.73 - 984.48 cos B

-480.24 = -984.48 cos B

$\dfrac{480.24}{984.48}=\cos B\\\\\cos^{-1}\bigg(\dfrac{480.24}{984.48}\bigg)=B$

60.8° = B

19) a = 12, b = 19, c = 11, A = ???

a² = b² + c² - 2bc · cos A

12² = 19² + 11² - 2(19)(11) · cos A

144 = 361 + 121 - 418 cos A

144 = 482 - 418 cos A

-338 = -418 cos A

$\dfrac{338}{418}=\cos A\\\\\cos^{-1}\bigg(\dfrac{338}{418}\bigg)=A$

36.0° = A

20) a = 10, b = 9, c = 18, A = ???

a² = b² + c² - 2bc · cos A

100² = 9² + 18² - 2(9)(18) · cos A

100 = 81 + 324 - 324 cos A

100 = 405 - 324 cos A

-305 = -324 cos A

$\dfrac{305}{324}=\cos A\\\\\cos^{-1}\bigg(\dfrac{305}{324}\bigg)=A$

19.7° = A

3 0

3 years ago

Read 2 more answers