Answer:
781.25
Step-by-step explanation:
Regular pay = 40*12.50 = 500.00
Overtime = 15*12.5*1.5 = 281.25
Gross pay = 500.00 + 281.25 = 781.25
A person standing 213 feet from the base of a church observed the angle of elevation to the church's steeple to be 33 ∘ .
Complete Question
A person standing 213 feet from the base of a church observed the angle of elevation to the church's steeple to be 33 ∘. Find the height of the church
Answer:
138.3 ft
Step-by-step explanation:
We solve this question above using using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent
Where:
Opposite = Height of the church = x
Adjacent = Distance for the base of the church = 213ft
Angle of elevation θ = 33°
Hence:
tan 33 = x /213 ft
Cross Multiply
x = tan 33 × 213 ft
x = 138.32381735 ft
x = Opposite Approximately = 138.3 ft
Therefore, the height of the church = 138.3 ft
The length of a rectangle is 3 yd longer than its width.
If the perimeter of the rectangle is 66 yd, find its length and width.
length = 3 + w (width)
perimeter: 66
2(3 + w + w) = 66
6 + 2w + 2w = 66
6 + 4w = 66
4w = 60
w = 15
length = 15 + 3 = 18
final answer:
length = 15 yards
width = 18 yards
Perry has already taken 8 pages of notes on his own, and he will take 1 page during each
hour of class. After attending 33 hours of class, how many total pages of notes will Perry
have in his notebook?
Answer:
41 pages of notes
Step-by-step explanation:
Since he took 1 page of notes for each hour, and attended 33 hours of class, this will add 33 pages of notes to his notebook.
To find the total, add 8 to this, because he already had 8 pages on his own.
33 + 8
= 41
So, he will have 41 pages of notes in his notebook
Answer:
He will have 41 pages of notes in his notebook.
Step-by-step explanation:
(33*1)+8
30*1=30
3*1=3
30+3=33
33+8
41
Henry is planning to create two rectangular gardens.
Part A
Henry has 96 feet of fencing to enclose the first rectangular garden. The garden will be x feet wide.
Which function, f(x), can Henry use to determine the area, in square feet, of the first garden?
a f(x) = 48x
f(x) = 48 - x
f(x) = 48 – x²
f(x) = 48x - x2
Answer:
Step-by-step explanation:
THANKS 4 POINTS!!!!!!!
Sarah worked to eam $502.90. If she worked for 94 hours, how much money does Sarah earn per hour? $
Blank 1:
Answer:
5.58
Step-by-step explanation:
Answer:
I believe the answer is 5.35
6- 3/4 x + 1/3 = 1/2x + 5
Answer:
I think it would be 16/15.
Step-by-step explanation:
6- 3/4x + 1/3 = 1/2x +5
6+ 1/3 - 5 = 1/2x + 3/4x
18/3 + 1/3 - 15/3 = 2/4x + 3/4x
18 + 1 - 15 / 3 = 2x + 3x / 4
4 / 3 = 5x / 4
4 × 4 / 3 = 5x
16/ 3 = 5x
16 / 3 ×5 = x
16 / 15 = x
Therefore, x = 16/ 15
And you want another way to solve it i will give you the link of website.
You owe $300 on your credit card. For every month that you fail to make a payment, your balance increases by 1%. Find a formula for the balance B owed after t months with no payment.
Answer:
[tex]B(t) = 300(1.01)^{t}[/tex]
Step-by-step explanation:
The balance owed after t months can be given by an exponential function in the following format:
[tex]B(t) = B(0)(1+r)^{t}[/tex]
In which B(0) is the initial balance owed and r is the growth rate, as a decimal.
You owe $300 on your credit card. For every month that you fail to make a payment, your balance increases by 1%.
This means, respectively, that [tex]B(0) = 300, r = 0.01[/tex]
So
[tex]B(t) = 300(1+0.01)^{t}[/tex]
[tex]B(t) = 300(1.01)^{t}[/tex]
Please help to solve thos question..
Twenty-percent (20%) of Americans have no health insurance. Randomly sample n = 15 Americans. Let X denote the number in the sample with no health insurance. What is the probability that 3 of them have insurance?
Answer:
0% probability that 3 of them have insurance
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they have insurance, or they do not. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Twenty-percent (20%) of Americans have no health insurance.
This means that 80% have insurance, so [tex]p = 0.8[/tex]
Randomly sample n = 15 Americans.
This means that [tex]n = 15[/tex]
What is the probability that 3 of them have insurance?
This is [tex]P(X = 3)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{15,3}.(0.8)^{3}.(0.2)^{12} = 0[/tex]
0% probability that 3 of them have insurance
Which expression represents the fourth term in the binomial expansion of (e + 2f)10?
10C3(e7)(2f)3
10C3(e7)(f)3
10C4(e6)(2f)4
10C4(e6)(f)4
Answer:
first one
Step-by-step explanation:
Answer:
a on edge
Step-by-step explanation:
please help 30 points!
Answer:
its A=4,20, B=8,40
Step-by-step explanation:
you are supposed to do the Y first then the X
Answer:
B. every 4 miles you run it will have been 20 min
C. put 4 over 20 like a fraction then next to that put a 1 over x then cross multiply and divide giving you the answer wich is " for every mile you run you spend 5 min
D. 1/5 for every mile you spend 5 minutes
E. same thing as above
Step-by-step explanation:
Help me please I hate Math
Answer:
112°
Step-by-step explanation:
Each of the interior angles that measure 34° and mentioned there are two of them will add up to 68°. A triangle must equal 180°. Subtract 68 from 180 to get 112° as your final answer.
Answer:
112
Step-by-step explanation:
180-(34+34)
180-68
112
Write the fraction in lowest terms.
2/19
Answer:
It's already in simplest form
Step-by-step explanation:
You can't simplify 2/19 anymore than 2/19
Determine if the pair of lines are parallel, perpendicular, or intersecting.
y=2/3x +4
y=2/3x -1
Answer:
They are parallel
Step-by-step explanation:
They both start with y=2/3x so you know the slope is the same. The +4 and -1 are just the intercepts
2.
The PE teacher is ordering equipment for the next school year. There are 156 students. She needs enough basketballs so that there is 1 basketball for every 12 students. How many basketballs does she need to order?
a.
312 basketballs
c. HELP PLSSSS
13 basketballs
b.
12 basketballs
d.
11
Answer:
13 basketballs
Step-by-step explanation:
Let c = 10. Drag the expression into the box that makes the comparison true. H HIS C + 25 < De 30 - 3 4c-10 c2-63 10please help
Answer:
c2-63
Step-by-step explanation:
can someone help me i will mark you has brainlist
Answer:
A
Step-by-step explanation:
If there are two distinct zeros, enter them separated by a comma. If there is a single zero, enter it. If there
are no zeros, enter the word none.
Find the zeros of the quadratic function from its graph.
y = x2 + 9x + 20
1 2
الفا
4
G
-10
-9
-8
-6
5
-2
- 1
0
1
Given that,
An equation : [tex]y=x^2+9x+20[/tex]
To find,
The zeros of the above function.
Solution,
To find zero, put y = 0
[tex]x^2+9x+20=0\\\\x^2+5x+4x+20=0\\\\x(x+5)+4(x+5)=0\\\\(x+4)=0\ \text{and}(x+5)=0\\\\x=-4\ \text{and}\ x=-5[/tex]
So, the zeros of the above quadratic equation is -4 and -5.
4 and 9/10 minus 2 and 2/5 = (in fractions)
5 and 1/2 minus 2 and 2/5 = (answer in fractions)
5 and 1/2 plus 2 and 3/5 =
4 and 5/6 minus 2 and 1/4 =
Answer:
3 mark me brainlest
Step-by-step explanation:
Answer:
It is the 3rd one I think
Step-by-step explanation:
Hope this helps have an amazing day!
The range of a function
y =2/3x + 1 is {3, 5, 17/3, 23/3
Identify the domain.
{1, 8, 15, 12)
{2, 5, 8, 12)
{3, 6, 7, 10)
{10, 16, 18, 22)
Answer:
{3,6,7,10}
Step-by-step explanation:
2/3(3)+1=3
2/3(6)+1=5
2/3(7)+1=17/3
2/3(10)+1=23/3
What is the answer to 34/6?
Answer:
I don't Know if this is division or fraction
Step-by-step explanation:
But I divided
and my answer was 5r4
what is different of the four shapes?
Answer:
It has only 1 pair of parallel sides.
Step-by-step explanation:
Answer:
It has only 1 pair of parallel sides
Step-by-step explanation:
Solve the equation X-4/2=10
X=24
X=22
X=29
X=39
What best determines whether a borrower's interest rate on an adjustable rate loan goes up or down?
a fixed interest rate
O a bank's finances
a market's condition
O a person's finances
Nark this and retum
Save and Exit
Next
Submit
What best determines whether a borrower's interest rate on an adjustable rate loan goes up or down is: A market's condition.
Market conditionMarket condition tend to have impact interest rate or determining whether borrower's interest rate on an adjustable rate loan goes up or down.
Reason being that market condition help to determine the current state of an economy at a specific period of time.
In order to determine if the interest rate will either increase or decrease the current market condition has to be put into consideration because it have great influence on interest rate.
Inconclusion What best determines whether a borrower's interest rate on an adjustable rate loan goes up or down is: A market's condition.
Learn more about market's condition here:https://brainly.com/question/15176320
Answer:
Option C: Markets Condition
This is here for the people who are too busy to read the other persons long answer :) So give him brainliest!
What is the value of y?
a 15 kg mass
moves with a
speed of 10
m/s. Calculate
the kinetic
energy.
Answer:
[tex]\boxed {\boxed {\sf 750 \ Joules}}[/tex]
Step-by-step explanation:
Kinetic energy can be found using the following formula.
[tex]E_k=\frac{1}{2}mv^2[/tex]
where m is the mass and v is the speed.
We know this is a15 kilogram mass moving with a speed of 10 meters per second. Therefore:
[tex]m= 15 \ kg \\v= 10 \ m/s[/tex]
Substitute the values into the formula.
[tex]E_k=\frac{1}{2}(15 \ kg)(10 \ m/s)^2[/tex]
Solve the exponent first.
(10 m/s)²= 10 m/s* 10 m/s= 100 m²/s²[tex]E_k=\frac{1}{2}(15 \ kg)(100 \ m^2/s^2)[/tex]
Multiply 100 m²/s²and 15 kg.
[tex]E_k=\frac{1}{2}(1500 \ kg*m^2/s^2)[/tex]
Multiply by 1/2 or divide by 2.
[tex]E_k= 750 \ kg*m^2/s^2[/tex]
1 kilogram square meter per square second is equal to 1 Joule. Our answer of 750 kg*m²/s² is equal to 750 J[tex]E_k= 750 \ J[/tex]
The kinetic energy is 750 Joules.
Ana has 31 1/2 cups of oat in a container. She used 4 1/2 of oats to make a loaf of bread. How much oats does Ana have left in the container?
A. 24 cups
B. 27 cups
C. 25 cups
D. 26 cups
Answer:
b
Step-by-step explanation:
Take 1/2 off of the 31 1/12 to make it easier. That gives you 31 and 4. Then take one away from both numbers to get to 30 and 3. 30 minus 3 is 27.
simplify (7^6)^2 .....................................
Answer:
13,841,287,201
Step-by-step explanation:
simply the parenthesis:
7^6 or 7 times itself 6 times: 7x7x7x7x7x7
which equals 117,649 and then multiply that number by itself
117,649x117,649 and you should get 13,841,287,201
The simplification of (7^6)^2 is 13,841,287,201
What is power?power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and exponent denotes the number of times the same base number is multiplied.
Given: (7^6)^2
Firstly,
7 times itself 6 times
= 7x7x7x7x7x7
= 117,649
Now, 2 times of 117,649.
= 117,649x117,649
=13,841,287,201
Hence, the solution to this expression is: 13,841,287,201
Learn more about power here:
https://brainly.com/question/9648446
#SPJ2
Spencer has a bank account with a balance of $75.00. Spencer owes $30.00 to her credit card and she owes $50.00 for a LCD TV. What would Spencer’s bank balance be, if both debits were paid?
Answer:
-5.00 dollars
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
75-50-30=-5
Find a. Round your answer to the nearest hundredth
Step-by-step explanation:
[tex]c = 40 \\ b = 180 - 90 - 40 = 50[/tex]
[tex] \cos(40) = \frac{a}{12} \\ 0.766 = \frac{a}{12 } \\ a = 9.19[/tex]
Describe all the x-values at a distance of 25 or less from the number 12. Enter your answer in interval notation.
Answer: [-13, 37]
======================================================
Explanation:
The smallest x value possible is 12-25 = -13
The largest x value possible is 12+25 = 37
It might help to draw out a number line to see this.
x is between -13 and 37, including both endpoints. We can write [tex]-13 \le x \le 37[/tex]
This converts to the interval notation [-13, 37] which is the answer.
The use of square brackets is to indicate "include this endpoint".