A number that can be written in the form , where a and b are integers and b 0, is known as which of the following?

(SOMEONE PLEASE HELP ME ) A central angle in a circle has a measure of 1 radian. The length of the arc it intercepts is 3.07 in.

Naddika [18.5K]

The total circle has a measure of 2π radian, so this portion is 1/(2π) of the whole circle
the circumference of the whole circle is 2πr
1/(2π) of 2πr=3.07
r=3.07

7 0

4 years ago

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Someone please help me answer this!1

Arada [10]

Answer:

16 km is the answer

Step-by-step explanation:

a (Colton to parents' house) = 12 km

b = ?

c (parents' house to grandparents' house) = 20 km

According to the Pythagoras theorem,

a² + b² = c²

12² + b² = 20²

144 + b² = 400

b² = 400 - 144

b² = 256

b = 16

∴ Colton is 16 km away from his grandparents' house.

6 0

3 years ago

Assume that 11 people, including the husband and wife pair, apply for 5 sales positions. People are hired at random. (1) what is

Andrew [12]

The probability that both the husband and wife are hired is $\frac{2}{11}$

Explanation

Total number of people = 11 and total number of sales positions = 5

So, the total possible number of ways for selecting 5 people from 11 people will be: $^1^1C_{5}$

Now if both the husband and wife are hired, then it means the remaining (5-2)= 3 positions are filled from the remaining (11 -2) = 9 people.

So, the possible number of ways for selecting 3 people from 9 people will be: $^9C_{3}$

Thus, the probability $= \frac{^9C_{3}}{^1^1C_{5}}=\frac{84}{462}=\frac{2}{11}$

4 0

3 years ago

Mary has taxable income of $40,000, with short-term capital gains of $2,500. What will be her capital gains tax rate and tax owe

hram777 [196]

Answer:

The correct option is B,15% tax rate with $375 in taxes owed

Step-by-step explanation:

Mary has a taxable income of $40,000 which implies that Mary falls into tax bracket of capital gains tax of 15% for taxable income between $38,601 and $425,800.

The amount capital gains tax payable is however the capital gains itself multiplied by the percentage applicable of 15% not the entire taxable income since that consisted of other income from other sources aside from capital gains

capital gains tax=$2500*15%=$375

5 0

3 years ago

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Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.

ikadub [295]

The vertex-form of a quadratic equation is $f(x)=a(x-h)^{2}+k$ , where (h, k) is the vertex of the parabola.

To complete the square of a quadratic expression in standard form, we write the coefficient of x as 2*b, then add and subtract $b^{2}$ .

$f(x)= x^{2} -8x+3$

$f(x)= x^{2} -2*4x+3$

so b=4, now add and subtract $4^{2}$ .

$f(x)= x^{2} -2*4x+ 4^{2}- 4^{2}+3$

$f(x)=( x^{2} -2*4x+ 4^{2})- 16+3$

$f(x)=(x-4)^{2}-13$

3 0

4 years ago