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irina1246 [14]
2 years ago
9

(c+ d4)2 – (c + d), if c= -1 and d = 2

Mathematics
1 answer:
Citrus2011 [14]2 years ago
8 0

Answer:

224

Step-by-step explanation:

If c = 1 and d = 2:

(-1³ + 2⁴)² - (-1 + 2)³

(-1 + 16)² -(1)³

(15)² -1

225 -1

224

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A sector of a circle has a central angle of 45 . Find the area of the sector if the radius of the circle is 15 cm.
prohojiy [21]

Answer:

A = 28.125 * pi cm^2

A = 88.357  cm^2


Step-by-step explanation:

Area of a sector is 1/2 r^2 theta  where theta is in radians

convert 45 degrees to radians

theta = 45 * pi/180 = pi/4

A = 1/2 * 15^2 * pi/4

A =1/2 * 225 * pi/4

A = 28.125 * pi cm^2

A = 88.357  cm^2


6 0
3 years ago
2(x+2) - 3(x-3)=x+7​
babunello [35]

Step-by-step explanation:

Let's solve your equation step-by-step.

2(x+2)−3(x−3)=x+7

Step 1: Simplify both sides of the equation.

2(x+2)−3(x−3)=x+7

(2)(x)+(2)(2)+(−3)(x)+(−3)(−3)=x+7(Distribute)

2x+4+−3x+9=x+7

(2x+−3x)+(4+9)=x+7(Combine Like Terms)

−x+13=x+7

−x+13=x+7

Step 2: Subtract x from both sides.

−x+13−x=x+7−x

−2x+13=7

Step 3: Subtract 13 from both sides.

−2x+13−13=7−13

−2x=−6

Step 4: Divide both sides by -2.

−2x

−2

=

−6

−2

x=3

Answer:

x=3

8 0
2 years ago
LaVelle is making a pitcher of caffe mocha. For each ounce of chocolate syrup, she uses five ounces of coffee. How many ounces o
ipn [44]

Answer:

40 ounces of coffee

Step-by-step explanation:

we know that

To make caffe mocha, LaVelle uses one ounce of chocolate syrup,and five ounces of coffee

so

To make 6  ounces of caffe mocha (one ounce of chocolate syrup plus 5 ounces of coffe), LaVelle uses one ounce of chocolate syrup,and five ounces of coffee

using proportion

Find out how many ounces of coffee does she need to make 48 ounces of caffe mocha

Let

x ---> ounces of coffee needed to make 48 ounces of caffe mocha

\frac{6}{5}\ \frac{oz\ caffe\ mocha}{oz\ coffee} =\frac{48}{x}\ \frac{oz\ caffe\ mocha}{oz\ coffee}\\\\x=48(5)/6\\\\x=40\ oz\ coffee

3 0
3 years ago
What is the theoretical probability of rolling a 1 or a 2 on the 6-sided die? answer as a fraction
Neko [114]

Answer:

1/3

Step-by-step explanation:

as 1/6 for a one and 1/6 for a 2 and 1/6 + 1/6 is 2/6 or 1/3

4 0
2 years ago
Jackson has a credit card with a balance of $6,999. What will his minimum payment be if it is 3.5% of the balance?
Deffense [45]

Answer:

244.965

Step-by-step explanation:

it is what it is

6 0
3 years ago
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