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zhannawk [14.2K]
2 years ago
11

John's checkbook had a balance of $432.05 on June 10th On June 12th he wrote a check

Mathematics
1 answer:
Anna71 [15]2 years ago
6 0

Answer:

John's currenct account balance after the deposit is $357.43.

Step-by-step explanation:

Current balance: $432.05

-$123.87

Current balance: $308.18

-$250.75

Current balance: $57.43

+$300.00

Current balance: $357.43

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Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.
Paul [167]

Answer:

5 rad

Step-by-step explanation:

Recall that the length of an arc of circumference is given by the formula:

Arc\,Length=\theta\,*\,radius, where \theta is the subtended angle [in radians] from the circumference's center.

Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle \theta using the above equation as shown below:

Arc\,Length=\theta\,*\,radius\\81.5\,cm = \theta\,*\,16.3\,cm\\\frac{81.5}{16.3} = \theta\\\theta=5\,rad

6 0
3 years ago
A game involves correctly choosing the 5 correct numbers from 1 through 18 that are randomly drawn. What is the probability that
bazaltina [42]

Answer:

=\frac{1}{8568}\ = .00011\\\ =\frac{7}{8568}  = .00081

Step-by-step explanation:

5/18\cdot \:4/17\cdot \:3/16\cdot \:2/15\cdot \:1/14=\frac{1}{8568}

4 0
2 years ago
Identify the terminal point for a 30° angle in a unit circle.
Afina-wow [57]

Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

4 0
3 years ago
What is the product of the polynomials shown below?
Sindrei [870]

Answer:

B. 14x^3+39x^2+18x+20

Step-by-step explanation:

Given polynomials are:

(7x^2+2x+4)(2x+5)\\For\ product\\(2x+5)(7x^2+2x+4)\\= 2x(7x^2+2x+4)+5(7x^2+2x+4)\\= 14x^3+4x^2+8x+35x^2+10x+20\\Combining\ alike\ terms\\= 14x^3+4x^2+35x^2+8x+10x+20\\=14x^3+39x^2+18x+20

The product of given polynomials is:

14x^3+39x^2+18x+20

Hence, Option B is correct ..

8 0
3 years ago
Read 2 more answers
Paulo uses an instrument called a densitometer to check that he has the correct ink colour.
tia_tia [17]
If it is said that the range of the answer should be +/- 10% of the particular value, we have to find out the percentage of that particular value. Therefore 10% of 1.8 is,

1.8 * 10/100 = 0.18

If we add this value to the original value,
1.8+0.18 = 1.98

If we subtract this value from the original value,
<span>1.8-0.18 = 1.62
</span>
therefore the range will be,
from 1.62 to 1.98
6 0
3 years ago
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