Answers
Answer:
126.5 cm
Step-by-step explanation:
First, find the area of the rectangular shape at the bottom.(think of this as 2 separate shapes then add their areas together to find the final area)
11x8=88 cm
Next, find the area of the triangle.
Area of triangle = base x height /2
11x7=77
77/2=38.5
88+38.5=126.5 cm
Related Questions
10 girls and 15 boys sit a test.
The mean mark for the boys is 70. The mean mark for the girls is 82.
Work out the mean mark for the whole class.
Answers
Answer:Mean mark of whole class= 74.8
Step-by-step explanation:
Mean = Total marks of student / Number of students
Total marks of boys = Number of boys x Mean mark for boys
=15 x 70=1,050
Total marks of girls = Number of girls x Mean mark for girls
=10 x 82=820
Mean of whole students = Total marks of student / Number of students
= (1,050 + 820)/ (10+15)
=1870/25
=74.8
2. Adam borrows $6,000 from his parents today for university fees and he promises
to pay a lump sum of $6,900 in 3 years' time. Calculate the following quantities
for the repayment arrangement:
(a) the effective annual interest rate.
(b) the equivalent simple annual interest rate.
Answers
Answer:
A) 4.77%.
B) 5%.
Step-by-step explanation:
Given that Adam borrows $ 6,000 from his parents today for university fees and he promises to pay a lump sum of $ 6,900 in 3 years' time, to calculate the effective annual interest rate and the equivalent simple annual interest rate the following calculations must be performed:
A)
6,900 = 6,000 x (1 + X / 1) ^ 3x1
6,900 = 6,000 x 1X ^ 3
6,900 = 6,000 x 1 x 4.77 ^ 3
Thus, the interest rate of said investment is 4.77% per year.
B)
(6,900 - 6,000) / 3 = 300
6,000 = 100
300 = X
300 x 100 / 6,000 = X
30000 / 6,000 = X
5 = X
Thus, the simple interest rate would be 5% per year.
which of these numbers is irrational?
Answers
A earned wages of $34400, received $2300 in interest from a savings account, and contributed $2900 to a tax-deferred retirement plan. was entitled to a personal exemption of $3800 and had deductions totaling $6090. Find gross income, adjusted gross income, and taxable income.
Answers
Answer:
53,320 gross income
50,120 adjusted gross income
39,370 taxable income
Step-by-step explanation:
A tiger weighs 600 pounds. It
loses 4 pounds each year.
Write the equation for the
tiger's weight.
Answers
600 for the weight subtract 4 and x is the year
I need help getting the answer!
Answers
Answer:
The two are NOT THE SAME function.
Step-by-step explanation:
The linear function that is expressed as the equation y = -x + 3, is given in the slope-intercept form, y = mx + b, where
m = slope = -1
b = y-intercept = 3
To know if this function is the same with function expressed in the table of values, let's find the slope (m) and y-intercept (b) of the function represented as a table.
✔️Slope = change in y / change in x = ∆y/∆x
Using two pairs of values form the table, say, (-4, 1) and (-2, -1):
Slope (m) = (-1 - 1) / (-2 - (-4)) = -2/2 = -1
slope (m) = -1
To find b, substitute (x, y) = (-4, 1) and m = -1 into y = mx + b,
Thus:
1 = (-1)(-4) + b
1 = 4 + b
1 - 4 = b
-3 = b
b = -3
Write the equation for the table of values by substituting b = -3 and m = -1 into y = mx + b
Thus:
y = (-1)x + (-3)
y = -x - 3
As you can see, the equation of the function of the table of values is different from the equation of the function that was stated earlier.
Therefore, we can conclude that the two functions are not the same function expressed in different ways.
last one for today......
Answers
Answer:
A. 4,200,000 should be your answer
Step-by-step explanation:
hope this helps you
Answer:
A 4,200,000
Step-by-step explanation:
take 4.2 and move the decimal point to the right 6 times. Then fill in the blank spaces with zeros to get the final answer
What is five times less than the toyal cost of 69 dollars.
Answers
a number has exactly 8 factors. Two of the factors are 10 and 14. What is the number and what are all the factors
Answers
Answer:
2,5 and 2,7 I believe
Step-by-step explanation:
It should be 2,5 and 2,7
can a three set problem has negative intersection?
Answers
Answer:
yes
Step-by-step explanation:
yes but not a postitive one
Answer:
i think so yeah
Step-by-step explanation:
A crate is shaped like a rectangular prism. The crate is 1.2 feet wide, 3 feet long and 4.5 feet tall. What is the volume of the crate in cubic feet?
Answers
Including an 18% tip, Ms. Guy and her friends spent $74.93 on dinner. What was the cost of the dinner excluding the tip?
Answers
Answer:
61.45
Step-by-step explanation:
Answer:
$61.40
Step-by-step explanation:
I solved this question by using the O.P.N if you don't know what the O.P.N Chart is here is what it means.
The O represents the original price.
The P represents the percent
and Finally the N represents the New cost.
Use the image below to see how to use the O.P.N Chart and how I solved this question.
If you have any other questions call me using my phone number "551 - 263 - 6579" or "+ 551 - 263 - 6579"
combine like terms y+3+4(y+4)
please show your work
Answers
Answer:
y+3+4y+16 : Apply the distributve property
5y+19 : Add the like terms
Hope this was helpful!
what is 2+2? tell me please
Answers
Use the Distributive Property to expand the expression.
0.4(50m - 20n)
The simplified expression is
Answers
=20m - 8n
Answer:
20m-8n
Step-by-step explanation:
0.4*50m=20m
20+_
0.4*-20n=-8n
20m+-8n
20m-8n
does a debit card use a pin or a credit card, or do both?
Answers
Your salary is 2500 and you will be receiving a 2.5% pay increase this year. What will your new salary be?
Answers
Answer:
2562.50
Step-by-step explanation:
2.5=0.025
0.025*2500=62.50
2500+62.50=2562.50
the actual length of a Corvette is 15 feet. Using the scale factor 1:3, determine the length of the model Corvette in inches
Answers
15/3=5
If 5b = 6a + 16 and 9a = 7b - 20, then what are the values of a and b?
Answers
9514 1404 393
Answer:
(a, b) = (4, 8)
Step-by-step explanation:
Writing both equations in general form, we have ...
6a -5b +16 = 0
9a -7b +20 = 0
__
We can make a little array of the numbers in the equations:
[tex]\left[\begin{array}{cccc}6&-5&16&6\\9&-7&20&9\end{array}\right][/tex]
Note that the first column is repeated at the end.
Now, we can "cross multiply" and form the differences of products in adjacent columns:
d1 = (6)(-7) -(9)(-5) = 3 . . . . . . left 2 columns
d2 = (-5)(20) -(-7)(16) = 12 . . . . . middle 2 columns
d3 = (16)(9) -(20)(6) = 24 . . . . . right 2 columns
Then the solutions to these equations are the solutions to ...
1/d1 = a/d2 = b/d3
a = d2/d1 = 12/3 = 4
b = d3/d1 = 24/3 = 8
The values of a and b are 4 and 8, respectively.
_____
Additional Comment
There are a number of ways to solve linear equations. This is similar to what you would get by doing "elimination". It is also similar to Cramer's Rule and Vedic math techniques. The number of math operations is about the same*. Once you learn the technique, it is fairly fast and requires no decision-making. My other favorite method is using a graphing calculator.
__
* This method uses 6 multiplications, 3 subtractions, 2 divisions. In the general case of "elimination", where the coefficients are not "nice" (as here), you would perform 7 multiplications, 4 subtractions and 2 divisions. This method is less work when the coefficients don't cancel easily.
Help!!!!!!!!!find the equation of the linear function q(16)=1 that is parralel to f(x)=1/3x+39
It wants it in slope intercept form
Answers
Answer:
[tex]q(x)= \frac{1}{3} x -\frac{13}{3}[/tex]
Step-by-step explanation:
So you have (16, 1)
When two linear functions are parallel, they have the same slope.
So function q also has a slope of 1/3x. You have a set of points so you can plug them in a slope intercept equation to find b.
y= mx+b
m= slope
y= y-intercept
1= 1/3(16) +b
1 - (16/3) = b
b= -13/3
so then, [tex]y= \frac{1}{3} x -\frac{13}{3}[/tex]
can someone help please
Consider the triangle below. One of the side lengths is unknown.
Find the length of the unknown side in this triangle, rounding your answer to two decimal places (if necessary).
Answers
The other side would be 15 meters.
Answer:
b = 13.27
Step-by-step explanation:
b^2 + 7^2 = 15^2
b^2 + 49 = 225
b^2 = 176
b = sqrt(176)
b = sqrt(16 * 11)
b = 4sqrt(11)
b = 13.27
Make 8 10 times as much
Answers
Convert the following angle from degrees to radians. Express your answer in simplest form. 435^
Answers
Answer:
29π/12.
Step-by-step explanation:
Multiply by π/180
= 435π/180
= 29π/12 radians.
What are the possible values for m and n
Answers
Answer:
m=4
n=-6
The above is just a possible value you can come up with your own :D.
See below for an explanation.
Step-by-step explanation:
Here you are going to really know the exponent rules. But in jest, you basically need to know that m+n=-2 due to exponent rules.
So?
An example would be
m=4
n=-6
Why?
Because 4-6=-2!
PLEASE HELP WITH #4 and #5 (Gina Wilson) Rectangles All Things Algebra
Answers
Solve the equation: 25-3x=40
A. -15
B. -5
C. -2
D. -4
Answers
25-3x=40
-3x=15
x=-5
Isolate the variable by dividing each side by factors that don't contain the variable.
-5
12 divided by 0.03 please show how im suppost to do it this was due at 8:00 am
Answers
Answer:
400
Step-by-step explanation:
12 / 0.03
Divide 12 by 3 = 4.
Move the decimal place over 2 to the right.
400.
What is the value of y in this diagram?
A. 61
B. 58
C. 21
D. 138
Answers
Answer:
BRAINLIEST
Step-by-step explanation:
What is 4 1/6 as a mixed number
Answers
Answer:
25/6
Step-by-step explanation:
You first multiply the denominator by the whole number and add the numerator.
6×4+1=25/6
I hope this helps you:)
Help please what is the area in square units
Answers
Answer:
I think it might be 23. sorry if it is wrong :(
23 cubes
My answer is assuming the question uses the squares as units.
There are 20 whole squares
Two half squares= 1 square
There are 2 sets of 2 square spaces split from one corner to the opposite. They look to be split the same way, and to also be opposite halves of each other, like the two half squares mentioned before. However, this equals two squares, because 4 in total are split equally.