Answers
Using Cos formula of a triangle
let BA be x
x² = a² + b² -2abCos(90°)
x² = 64 + 196
x = √260
To find <B using Cos again
b² = a² + c² - 2acCos(B)
196 = 64 + 260 - 2 * 8 * √260 * cosB
196=324 - 16√260 *cosB
324-196=16√260CosB
8 = √260CosB
CosB = 8/√260
B = cos-¹(8/(√260))
I don't have a calculator so complete it by yourself, the calculation aspect.
Related Questions
"You have performed increasingly well this past year and you are earning a 6% pay increase to your current $62,900 annual salary."
Supervisor: "Thanks, I look forward to the additional __________ per month."
Answers
Answer:
$3,774
Step-by-step explanation:
Function A(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e + 6h. What is the average rate of change in surface area of a cube as the edge length increases from 3 inches to 5 inches?
48 square inches per inch
54 square inches per inch
66 square inches per inch
96 square inches per inch
Answers
Answer: 48 square inches per inch
Step-by-step explanation:
The surface area of a cube of sidelength e is:
A(e) = 6*e^2.
The rate of change is:
A'(e) = 2*6*e
The average rate of change between 3 in and 5 in is:
r = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in
Now, the options are given in:
"squere inches per inch"
This is written as:
in^2/in = in.
Then we can write our above rate as:
r = 48in = 48in^2/in = 48 square inches per inch.
Answer:
Just did the test, 48 square inches is correct on edge
Step-by-step explanation:
Give credit to the other person.
Paula needs to make b batches of blueberry scones this weekend for her family's brunch party. She needs 2 cartons of blueberries for each batch, and each carton costs $4. Pick all the expressions that represent how much Paula will spend on blueberries.
Answers
Answer: $8
Step-by-step explanation: each cartoon is 4 dollars
and she need 2
2•4=8
Answer:
4(2b) and 8b
Step-by-step explanation:
4(2b) = 4x2b= 8b
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 18 cards in all. What is the probability of drawing at least 6 diamonds
Answers
Answer:
Step-by-step explanation:
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you place the card back in the deck, shuffle the deck, and draw another card. You repeat this process until you have drawn 20 cards in all. What is the probability of drawing at least 8 hearts?
For the experiment above, let X denote the number of hearts that are drawn. For this random variable, find its expected value and standard deviation.
E(X)=
?=
Davis hit a baseball from a height of 3 feet above the ground at an angle of 24 degrees with the horizontal at an initial velocity of 110 feet per second. How far will the ball travel before it hits the ground?
8. Write a parametric equation for the flight of the ball.
9. Find the maximum height of the ball.
10. How many feet did the ball travel horizontally before it hit the ground?
Answers
Answer:
The ball travel horizontally before it hit the ground is 34.22 feet.
Step-by-step explanation:
Given that,
Height = 3 feet
Angle = 24 °
Initial velocity = 110 feet/s
We need to write a parametric equation for the flight of the ball
Using given data
[tex]r(t)=u\cos\theta\times t\hat{i}+(h+(u\sin\theta)t-\dfrac{1}{2}gt^2)\hat{j}[/tex]
Put the value into the formula
[tex]r(t)=110\cos24\times t\ i+(3+110\sin24\times t-\dfrac{1}{2}32t^2)j[/tex]
[tex]r(t)=100.4t(i)+(3+44.7t-16t^2)j[/tex]
Now, on differentiating w.r.to t
[tex]v(t)=100.4i+(44.7-32t)j[/tex]....(I)
We need to calculate the time
Using equation (I)
If y'(t)=0, then the ball will be at maximum height
So, [tex]y'(t)=44.7-32t[/tex]
Put the value of y'(t)
[tex]44.7-32t=0[/tex]
[tex]t=\dfrac{44.7}{32}[/tex]
[tex]t=1.4\ sec[/tex]
We need to calculate the maximum height
Using equation of motion
[tex]y(t)=h+ut-\dfrac{1}{2}gt^2[/tex]
Put the value into the formula
[tex]y(1.4)=3+44.7\times1.4-16\times(1.4)^2[/tex]
[tex]y(1.4)=34.22\ feet[/tex]
Hence, The ball travel horizontally before it hit the ground is 34.22 feet.
by rounding to one significant figure 615 x 38
Answers
Answer:
20000
Step-by-step explanation:
Which expression is equivalent to this polynomial? x2 + 8
Answers
Answer:
D
Step-by-step explanation:
got it right on plato
May can do 936 jumping jacks in
6 minutes. Heather can do 616
jumping jacks in 4 minutes. Who
can do the most jumping jacks
per minute?
please help meeee !
Answers
Answer:
May
Step-by-step explanation:
936 ÷ 6 = 156
616 ÷ 4 = 154
Answer: May
May can do 936 jumping jacks in
6 minutes. Heather can do 616
jumping jacks in 4 minutes. Who
can do the most jumping jacks
per minute?
If you were to divide 936 by 6, you would get 156. Then, divide 616 by 4, and you would get 154. This gives you how many jumping jacks each of them do in one minute. The answer to May’s equation was more than Hather’s equation, so May can do more jumping jacks than Heather.
Which expression is equivalent to 5y^3/(5y)^-2?
a. y^5
b. y^6
c. 125y^3
d. 125y^5
Answers
Answer:
I think the answer is D.
Step-by-step explanation:
[tex] \frac{ {5y}^{3} }{ {(5y)}^{ - 2} } \\ = \frac{ {5y}^{3} }{ {(\frac{1}{5y})}^{2} } \\ = {5y}^{3} \times {25y}^{2} \\ = 125 {y}^{5} [/tex]
The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 160 centimeters in 20 seconds.
What is the time in seconds the ant crawls when the total distance is 216 centimeters?
8 s
11 s
25 s
27 s
Answers
Answer:
27
Step-by-step explanation:
I did the math ;-;
Phil walks around a field 4 times.
The field is 2.1 miles.
About how many miles does Phil walk in all?
Answers
Answer:
8.4
Step-by-step explanation:
You multiply 2.1 and 4
Write the addition equation as a multiplication equation. 8 x 8 x 8 = 24
Answers
Answer:
8+8+8=24
Step-by-step explanation:
The answer is 8+8+8 because 8×3=24 and you would have to write 8 , 3 times. If you get what I mean.
The ratio of yes votes to no votes was 4 to 7. If there were 3824 yes votes, what was the total number of votes?
Answers
Answer:
10,516
Step-by-step explanation:
you can do it different ways but I found the scale factor by dividing 4 into 7 which gives you 1.75 you then multiply that by the amount of yes votes (3824x1.75) which gives you 6692 and then you add that to the amount of yes votes which gives you the answer, 10516 - the total number of votes!
Divide total yes votes by the ratio for yes then multiply by the ratio for no:
3824 /4 = 956
956 x 7 = 6692 total number of no votes
total number of votes = 6692 + 3824 = 10,516
pls help with this im being timed once again
Answers
Sharon has two liabilities: a credit card balance of $1300 and a car loan balance of $4800. Sharon car has a market value of $9000 she also has a balance of $1450 in her saving account and has stocks that are currently worth $1050. What is Sharon’s net worth?
Answers
Given:
Sharon has two liabilities: a credit card balance of $1300 and a car loan balance of $4800.
Car = $9000
Balance in her saving account = $1450
Stocks = $1050.
To find:
Sharon’s net worth.
Solution:
Total liabilities = Credit card balance + Car loan balance
= $1300 + $4800
= $6100
Total Assets = Car + Balance in her saving account + Stocks
= $9000 + $1450 + $1050
= $11500
Now,
Net worth = Total assets - Total liabilities
= $11500 - $6100
= $5400
Therefore, Sharon’s net worth is $5400.
Sharon's net worth, based on her assets and liabilities, is $5,400.
What is the net worth?Net worth refers to the difference between an individual's assets and liabilities.
Assets are the properties owned by the individual. Liabilities are the sources of funding for the assets. They are financial obligations owed to outsiders (creditors).
In business, the net worth of an entity is known as equity.
Data and Calculations:Liabilities:Credit card balance of $1300
Car loan balance of $4800
Total liabilities = $6,100
Assets:Sharon's car with a market value of $9000
Savings account balance of $1450
Stocks that are currently worth $1050
Total assets = $11,500
Net worth = $5,400 ($11,500 - $6,100)
Thus, Sharon's net worth is $5,400.
Learn more about net worth at https://brainly.com/question/27218751
#SPJ1
A home decrease in value from $520,000 to $475,000. What is the percent decrease for the house
Answers
Answer:
5467547
Step-by-step explanation:
I need help with this problem ASAP!
Answers
Answer:
aye down load the app Socratic
Step-by-step explanation:
just take a picture and it will show you the answers
find the mode of the following data 1,2,1,1,3,2,2,2
Answers
Answer:
2
Step-by-step explanation:
the mode is the on that appears the most, most common one
The perimeter of a trianglular pool is 36
yards the length of two sides or 10 yards and 15 yards how long is the third side
Answers
Answer:
11 yard
Step-by-step explanation:
Let the 3rd side be 'a'.
Perimeter = 36
=> sum of sides = 36
=> 10 + 15 + a = 36
=> 25 + a = 36
=> a = 36 - 25
=> a = 11
Obtain two numbers such their HCF is 20 and their LCM is 300....... By steps...
Answers
Answer:
60 and 100
Step-by-step explanation:
Look for 2 multiples of 20 which are also factors of 300.
No need to go all Mathematician.
It's simple, no long explanation needed
E = {m, a, t, h}
The possible subsets of set S are;
Four
Three
Elements Elements
{m, a, t, h} {m, a, t}
{m, a, h}
{m, t, h
{a, t, h
Zero
Element
{ } or Ø
Two
Elements
{m, a}
{m, t}
{m, h}
{at}
{a, h)
{t, h
One
Element
{m}
{a}
{t}
{h}
Answers
Answer:
Step-by-step explanation:
dcfrbfirpfbrpifurghfpirfuh
HELP PLZZZ. In an indirect proof, you prove an if- then statement is true by assuming the statement is false then disproving the false statement. You want to prove the statement below in an indirect proof. What statement should you prove false.
Statement to prove true: if a figure has exactly three sides,then it is a triangle.
Statment to prove false:???
Answers
Answer:
If a figure is a triangle, then it has three sides.
Step-by-step explanation:
You just flip the if then statement around.
What is the slope of a line parallel to the line 9x+3y = 2?
Answers
Answer:
-9 :)
Step-by-step explanation:
At a birthday party, 5 boys and 3 girls are seated in a row. How many different arrangements are possible if there are no restrictions?
Answers
Answer:
40320Step-by-step explanation:
There are 5 boys and 3 girls
With no restrictions, 8 people can seat in 8! ways
8! = 40320 arrangementsAnswer:
40320
There are 5 boys and 3 girls
With no restrictions, 8 people can seat in 8! ways
8! = 40320 arrangements
Use the compound interest formula to compute the total amount accumulated .
$1060 for 5 years at 7% compounded annually
Answers
Answer:
1486.7
Step-by-step explanation:
1060*(1+0.07)^5 = 1486.705
JUST #4 PLS Eazy, Adding fraction
Answers
Answer:
-1 5/6
Step-by-step explanation:
-1 2/3 turn it into mixed fraction
-10/6
then -10/6 + -1/6 = -11/6 and simplify and get -1 5/6
Hope this helps dude ! ^-^
A collector has 50 movie posters and 40 band posters. She wants to sell 25 movie
posters but still have her poster collection maintain the same ratio of 50:40. If she
sells 25 movie posters, how many band posters should she sell? Complete the
explanation to find out how many band posters she should sell.
Answers
You spend 15 minutes . You then spend two hours reading email. Write the ratio of the amount of time spent watching television to the amount of time spent reading email as a fraction in simplest form.
Answers
Answer:
1:8
Step-by-step explanation:
The ratio for watching tv, to reading email is 15:120 (because two hours equals 120 min.).I then divided both sides by three to get 5:40. I then divided that ratio by 5 to get 1:8, which is the simplest form.
Often we need to use exponents to correctly model the variation in situations:
The volume of a cylinder varies jointly with the square of its radius and its height. Its
general equation looks like V = kr’h where k= some constant number for all cylinders
and V, rand h are variables representing volume, radius and height, respectively. When
the radius is 3 cm and height is 5 cm, the cylinder has a volume of 141.3 cm. Find the
volume when the radius is 6 cm and the height is 10 cm.
Answers
Answer:
V = 1130.4 cm³
Step-by-step explanation:
Given that V varies jointly with r² and h then the equation relating them is
V = kr²h ← k is the constant of variation
To find k use the condition when r = 3 and h = 5 then V = 141.3 , then
141.3 = k × 3² × 5 = 45k ( divide both sides by 45 )
k = 3.14 ← note approximation for π
V = 3.14r²h ← equation of variation
When r = 6 and h = 10, then
V = 3.14 × 6² × 10 = 3.14 × 36 × 10 = 1130.4 cm³
Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 40 mph.
The distance from Raj's house to the airport is 20 miles.
If Raj's taxi actually travels at an average speed of 30 mph, how many more minutes does the journey take than expected
Answers
Answer:
40
Step-by-step explanation: