What is 0.33333333333 as a fraction?

Karen had 15 snicker bars. she gave 7 to her brother. what percent did she give away

Mekhanik [1.2K]

Step-by-step explanation:

The way to get this is that you put them in fraction form 7/15 and then you make it equal to to x/100 and then divide the known part of the fraction which in this case is 100/15 which gives 6.67 (rounded). After you get that you multiply it by 7 which give you 46.69%

6 0

2 years ago

Find the measures of the angles of the triangle whose vertices are A = (-3,0) , B = (1,3) , and C = (1,-3).A.) The measure of ∠A

alekssr [168]

Answer:

$\theta_{CAB}=128.316$

$\theta_{ABC}=25.842$

$\theta_{BCA}=25.842$

Step-by-step explanation:

A = (-3,0) , B = (1,3) , and C = (1,-3)

We're going to use the distance formula to find the length of the sides:

$r= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

$AB= \sqrt{(-3-1)^2+(0-3)^2}=5$

$BC= \sqrt{(1-1)^2+(3-(-3))^2}=9$

$CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5$

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

$BC^2 = AB^2+CA^2-(AB)(CA)\cos{\theta_{CAB}}$

$\dfrac{BC^2-(AB^2+CA^2)}{-2(AB)(CA)} =\cos{\theta_{CAB}}$

$\cos{\theta_{CAB}}=\dfrac{9^2-(5^2+5^2)}{-2(5)(5)}$

$\theta_{CAB}=\arccos{-\dfrac{0.62}}$

$\theta_{CAB}=128.316$

Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!

To find the angle ABC

$\dfrac{\sin{\theta_{ABC}}}{AC}=\dfrac{\sin{CAB}}{BC}$

$\sin{\theta_{ABC}}=AC\left(\dfrac{\sin{CAB}}{BC}\right)$

$\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)$

$\theta_{ABC}=\arcsin{0.4359}\right)$

$\theta_{ABC}=25.842$

finally, we've seen that the triangle has two equal sides, AB = CA, this is an isosceles triangle. hence the angles ABC and BCA would also be the same.

$\theta_{BCA}=25.842$

this can also be checked using the fact the sum of all angles inside a triangle is 180

$\theta_{ABC}+\theta_{BCA}+\theta_{CAB}=180$

$25.842+128.316+25.842$

$180$

6 0

3 years ago

Read 2 more answers

What is 851 divided by 48?

makvit [3.9K]

Answer:

= 17.7 ( rounded off to one decimal place)

STAY SAFE, GOD BLESS YOU :)

Step-by-step explanation:

851 ÷ 48

= 17.7291

= 17.7 ( rounded off to one decimal place)

3 0

3 years ago

Read 2 more answers

In the figure below, the value of x is:<br> who ever show works gets brainlly

blondinia [14]

Answer:

d) x = 72°

Step-by-step explanation:

Corresponding Angles: The pair of angles formed on the same side of traversal which crosses two parallel lines is called a pair of corresponding angles.

These angles are EQUAL to each other.

Now, here in the given figure:

The two below lines are parallel to each other.

Also, the line crossing it on the right side forms a traversal.

So angle x and angle with 72 degrees form a pair of Corresponding Angles.

⇒ x = 72°

Hence the measure of angle x = 72°

7 0

3 years ago

Jay places $3200 in an investment account earning 4.1% interest compounded weekly. How much money would he have in the account a

jasenka [17]

Answer:

A = $3,926.71

Step-by-step explanation:

Given: Principal (P) = $3200, Annual Rate (R) = 4.1%, Time = 5 years

To find: How much money would he have in the account after 5 years, if he made no deposits or withdrawals during that time?

Formula: $A = P(1 + r/n)^nt$

Solution: Compound interest is one of the most important concepts to understand when managing your finances. It can help you earn a higher return on your savings and investments, but it can also work against you when you're paying interest on a loan

First, convert R as a percent to r as a decimal

r = R/100

r = 4.1/100

r = 0.041 rate per year,

Then solve the equation for A

A = P(1 + r/n) $^{nt}$