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MrMuchimi
3 years ago
14

Use the distributive property to simplify the expression 6(9+x)

Mathematics
2 answers:
lyudmila [28]3 years ago
6 0

Answer:

54(6x)

Step-by-step explanation:

6 times 9

6 times x

the two lines above multiplied by each other

Gnesinka [82]3 years ago
4 0

Answer:

54+6x

Step-by-step explanation:

6(9+x)

Distribute the 6 to each term inside the parentheses

6*9 + 6*x

54+6x

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3 years ago
HELP ME ASAP.. MY TEACHER IS ASKING FOR THE ANSWER ​
Solnce55 [7]

Answer:

a) 10.7 cm

b) 11.6 cm

c) 29.9 cm²

Step-by-step explanation:

a) sin(α)/a = sin(β)/b

sin(∠BCD)/BD = sin(DBC)/DC

sin(41°)/BD = sin(55°)/13.4

BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm

b) From ΔBCD , ∠BDC = 180-(41+55) = 84°

∠ABD and ∠BDC are alternate interior angles, so they are congruent, and

∠ABD = ∠BDC  = 84°

AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =

= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²

AD =√(133.93) ≈11.6 cm

c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²

5 0
3 years ago
The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be 4\,in\,:\,5\,ft and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (r), measured in inches per feet, is equivalent to the following rational number:

r = \frac{4\,in}{5\,ft}

We can convert each length by dividing it by scale factor. That is:

Length

l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }

l' = 20\,ft

Width

w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }

w' = 31.25\,ft

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

8 0
3 years ago
Which animal shelter has the dog that weighs the greatest?
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Do you have a picture?
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3 years ago
Solve for x.<br> 2x2 + x = 10
Stells [14]

Answer:

x = 2, x = -5/2

Step-by-step explanation:

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(2x + 5)(x - 2) = 0

2x + 5 = 0

2x = -5

x = -5/2

x - 2 = 0

x = 2

8 0
3 years ago
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