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3 years ago

A=1/2bh , solve for b

Mathematics

2 answers:

agasfer [191]3 years ago

8 0

A=1/2*b*h
2*A=b*h
2*A/h=b

anygoal [31]3 years ago

6 0

B= the base of the object

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The equation of a circle is x^2+y^2+6x-2y-15=0. find the center and radius of the circle.

Serjik [45]

Answer:

(-3, 1), 5

Step-by-step explanation:

x² + y² + 6x - 2y - 15 = 0

Rearrange:

x² + 6x + y² - 2y = 15

Complete the square:

x² + 6x + 9 + y² - 2y + 1 = 15 + 9 + 1

(x + 3)² + (y - 1)² = 25

Therefore, the center is (-3, 1) and the radius is 5.

7 0

3 years ago

Find the value of annuity if the periodic deposit is $1500 at 8% compounded semiannually for 22 years

Jet001 [13]

Answer:

The value of annuity is $P_v = \$ 32058$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 1500$

The interest rate is $r = 8\% = 0.08$

Frequency at which it occurs in a year is n = 2 (semi-annually )

The number of years is $t = 22 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 1500 * [1 - (1 + \frac{0.08}{2} )^{-22 * 2} ] * [\frac{(1 + \frac{0.08}{2} )}{ \frac{0.08}{2} } ]$

$P_v = 1500 * [1 - (1.04 )^{-44} ] * [\frac{(1.04 )}{0.04} ]$

$P_v = 1500 * [1 - 0.178 ] * [\frac{(1.04 )}{0.04} ]$

$P_v = \$ 32058$

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3 years ago

What number is 33 1/3% of 36

Katen [24]

33.33% = 0.33333
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12 :)

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4 years ago

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storchak [24]

Answer:

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5/7=60/84

⇒66.66%; 5/7; 3/4

Step-by-step explanation:

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3 years ago

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stiks02 [169]

Answer:

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Step-by-step explanation:

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3 years ago