Answer:
The architect will disagree because the given side lengths cannot form a triangle shape
Step-by-step explanation:
Here, we want to state why the architect will not agree
from the question, we need to form a triangular shaped flower garden
the side lengths of the supposed triangle are 40 ft, 24 ft and 15 ft
However, it is mathematically impossible for these three side lengths to form a triangle
This is because for three side lengths to be able to form a triangle, then the sum of any two of the side lengths must be greater than the third
For example, if the side lengths are a, b and c
Then for us to have a triangle;
a + b > c
b + c > a
and
a + c > b
But, since;
24 + 15 is less than 40
It means we cannot have a triangle formed
Consider a student loan of $20,000 at a fixed fixed APR of 9% for 15 years. A. Claculate the monthly payment. B. Determine The total amount paid over the term of the loan. C. Of the total amount paid what percentage is paid toward the principal and what percentage is paid for interest.
Answer:
A. The monthly payment is $202.85.
B. The total amount paid over the term of the loan is $36,513.60.
C. The percentage paid toward the principal is 54.77%, while the percentage paid for interest is 45.23%.
Step-by-step explanation:
A. Calculate the monthly payment.
This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or principal or student loan = $20,000
P = Monthly payment = ?
r = Monthly rate = APR /12 = 9% / 12 = 0.09 / 12 = 0.0075
n = number of months = 15 * 12 = 180
Substituting the values into equation (1) and solve for P, we have:
$20,000 = P * ((1 - (1 / (1 + 0.0075))^180) / 0.0075)
$20,000 = P * 98.5934088350577
P = $20,000 / 98.5934088350577 = $202.85
Therefore, the monthly payment is $202.85.
B. Determine the total amount paid over the term of the loan.
Total amount paid = Monthly payment * Number of months = $202.85 * 180 = $36,513.60
Therefore, the total amount paid over the term of the loan is $36,513.60.
C. Of the total amount paid what percentage is paid toward the principal and what percentage is paid for interest.
Percentage paid toward the principal = Principal / Total amount paid = $20,000 / $36,513.60 = 0.5477, or 54.77%
Percentage paid for interest = 100% - Percentage paid toward the principal = 100% - 54.77% = 45.23%
Therefore, the percentage paid toward the principal is 54.77%, while the percentage paid for interest is 45.23%.
Can someone please help me!!!
Answer:
Option C
Step-by-step explanation:
same logic as in 2D problems. if C wasn't true, then the two planes couldn't be parallel
What is the solution to the inequality
|2n + 5| > 1?
Answer:
The solution to the inequality would be n < -3 or n > -2 . Isolate the variable be diving each side by the factors that don’t contain the variable.
Step-by-step explanation:
The number line diagram shows the distance between each number in a set of ata and the data's mean of 12. Which is the mean absolute deviation? 5 6 H HHH 6 7 8 9 10 11 12 13 14 15 16 17 18 mean
Answer:4
Step-by-step explanation:
The Mean Absolute Deviation is 4 from the data given
what is the circumference of a circle when the diameter is 34
Answer:
the circumference is C = 34π units.
Step-by-step explanation:
The circumference of a circle of diameter d is C = πd.
Here the diameter is 34 units. Thus, the circumference is C = 34π units.
Jeffrey made lasagna for dinner. He put the lasagna into the oven at 6:21 P.M. And took it out at 6:54 P.M. How long was the lasagna in the oven?
the lasagna was in for 33 minutes
Square ABCD has an area of 1600. E is the midpoint of AC and F is the midpoint of AB.
What is the area of the trapezoid BCEF?
O 300 square units
O 1,200 square units
600 square units
O 109 square units
the sum of 25 and x is 48 find x. . Solve.
Answer:
x = 23
Step-by-step explanation:
Sum of 25 and x = 48
25 + x = 48
Subtract 25 from both sides
25 - 25 cancels out
48 - 25 = 23
We would be left with x = 23
Answer:
[tex]x =23[/tex]
Step-by-step explanation:
Sum of 25 and x
[tex]25 + x[/tex]
Sum of 25 and x is 48
[tex]25 + x = 48[/tex]
Now lets simply Solve the equation
[tex]25 + x = 48 \\ x = 48 - 25 \\ x =23[/tex]
Hope this helps you.
Have a nice day!
A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 25% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?
- PLEASE HELP im in the middle of an exam
Answer:
1695.6 cubic feet
Step-by-step explanation:
Given that,
The corn fills 25% of the height of the silo.
The diameter of silo, d = 12 feet
Radius, r = 6 feet
Height, h = 60 feet
The volume of the part of the silo that is filled with corn is given by :
[tex]V=25\%\ of\ \pi r^2 h\\\\=\dfrac{25}{100}\times 3.14\times 6^2\times 60\\\\V= $$1695.6\ feet^3[/tex]
So, the required volume is equal to 1695.6 cubic feet.
please tell me answers
Answer:
×=50,×+09+673-23
×=(33)+(2×)
i need help, an answer or how to- will be fine, thank you. (i’ll mark brainliest if i can)
by solving the first equation you'll get x= -24/13
if you solve the second option (B) then you'll the same result i.e x=-24/13
so option C is correct
what is the measure of x
Answer:
56.25°
Step-by-step explanation:
cos x° = b/h = 15/27 = 5/9
x° = cos^(-1) (5/9) = 56.25°
On Saturday morning, Owen earned $27. By the end of the afternoon he had earned a total of $62. Enter an equation, using x as your variable, to determine whether Owen earned $35 or $33 on Saturday afternoon.
Answer:just hart me n I will help
Step-by-step explanation:
What is the quotient?
-4/5 divided by 2
Answer:
-0.4
fraction form: -4/10 or -2/5
The electricity to run a refrigerator for a week costs $6.30. How much does it cost to run the refrigerator for 365 days?
Answer: 327.60 dollars
Explanation:
There are about 52 weeks in a year (note that 365/7 = 52.14)
So that means it costs a total of 52*6.30 = 327.60 dollars to run the fridge for a full year.
Answer:
It costs $328.50 to run the refrigerator for 365 days
Step-by-step explanation:
Recall that there are seven days in a week and 52 weeks in a year
The given rate is
$6.30
-----------
7 days
To find the cost of running the refrigerator for 365 days, multiply this given rate by 365 days:
$6.30
----------- * 365 days = $328.50
7 days
It costs $328.50 to run the refrigerator for 365 days (1 year, 52 weeks).
A trapezoid has height 20 inches. Its bases have sum 30 inches, and one base is 6 inches longer than the other. What is the area of this trapezoid?
Answer:
300 square inches
Step-by-step explanation:
Area of a Trapezoid = 1/2 (b1 + b2 ) × h
h = height 20 inches
b1 = First base = ?
b2 = Second base = ?
From the Question
b1 + b2 = 30 Inches
Hence,
Area of the Trapezoid = 1/2 (30) × 20
= 1/2 × 30 inches × 20 inches
= 300 square inches
The Area of the Trapezoid = 300 Square inches
Help me please i will give brainliest.
Answer:
1) 13 Students were surveyed
2) 3 students
3) 7 Students
4) 10 Books
Pls mark brainliest
Answer:
13 students were surveyed
3 students read 5 fiction books
7 students read more than 5 fiction books
The maximum number was 10
Step-by-step explanation:
Hope this helps
-Unbrand-
Sadly even though I answered first I didn't get any credit. Quite sickening.
3^-6x(3^3 divide 3^0)^2
Answer:
[tex] {3}^{2} [/tex]
Step-by-step explanation:
[tex]3^{ - 6} \times (3^4 \div 3^0)^2[/tex]
[tex] \frac{1}{ {3}^{6} } \times ( {3}^{4} \div {3}^{0} {)}^{2} [/tex]
[tex] \frac{1}{729} \times ( {3}^{4} \div {3}^{0} {)}^{2} [/tex]
[tex] \frac{1}{729} \times ( {3}^{4} {)}^{2} [/tex]
[tex] \frac{1}{729} \times 6561[/tex]
[tex] \frac{1}{729} \times (729(9))[/tex]
[tex]9[/tex]
[tex] {3}^{2} [/tex]
Hope it is helpful...Help me please, i need this answer I don't know what it is.
HELP ASAP NEED HELP. WILL GIVE BRAINIEST AND 100 POINTS.
Use the function f(x) = 4x^2 - 7x - 15 to answer the questions.
Part a: completely factor f(x).
Part b: what are the x-intercepts of the graph of f(x)? Show your work.
Part C: describe the end behavior of the graph of f(x). Explain.
Part D: what are the steps you would use to graph f(x)? Justify that you can use the answers obtained in part B and part C to draw the graph.
9514 1404 393
Answer:
a. f(x) = (4x +5)(x -3)
b. x-intercepts: {-1.25, +3}
c. f(x) goes to +infinity as x goes to ±infinity
d. plot the x-intercepts, the vertex, and a few other points; draw a smooth curve through them
Step-by-step explanation:
a. Here, you're looking for factors of (4)(-15) = -60 that have a sum of -7. Those factors will be -12 and +5, so we can factor the function as ...
f(x) = (4x -12)(4x +5)/4
f(x) = (x -3)(4x +5)
__
b. The x-intercepts are the values of x that make the factors zero:
x -3 = 0 ⇒ x = 3 . . . . (add 3)
4x +5 = 0 ⇒ x = -5/4 . . . . (add -5, divide by 4)
__
c. As with all even-degree polynomials with positive leading coefficients, the end behavior of f(x) matches that of |x|:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → ∞
__
d. The vertex of the function will be located halfway between the x-intercepts, at x = (3-5/4)/2 = (7/4)/2 = 7/8. The value of f(x) there is ...
f(7/8) = (4(7/8) +5)(7/8 -3) = -289/16 = -18.0625
Since the leading coefficient is 4, the normal x^2 function behavior is stretched vertically by a factor of 4. So, additional points would be
x = 7/8 ±1, f(x) = -18.0625 +4·1 = -14.0625
x = 7/8 ±2, f(x) = -18.0625 +4·2^2 = -2.0625
The answers of part B locate two points on the graph, and help find the vertex. The answer of part C confirms the graph as opening upward.
__
Additional comment
I find a graphing calculator to be very helpful finding the roots and making the graph.
What is the volume of the prism shown?
A) 149.9 cubic inches
B) 268.2 cubic inches
C) 173.9 cubic inches
D) 291.8 cubic inches
Answer:
145.9 cubic inches
Step-by-step explanation:
The volume of a triangular prism is:
1/2 x length x width x height
Use the formula with the given dimensions:
1/2 x 5.27 x 8.13 x 6.81 = 145.8875655
Round it up to the nearest tenths:
145.8875655 —> 145.9
I hope this helps!
Answer:
145.9 cubic inches
Step-by-step explanation:
Find the area of the shape
A.67 km
B.21 km
C.41 km
D. 37 km
Answer:
41km²
Step-by-step explanation:
sum up two sections
4*(7+1) + 9*1
Brainliest to the best answer
Answer:
1
7
Is your answer dear .
Hope it helps you:)
Answer: 1/7
Step by step:
First divide the 1/49 to get 0.02040816326530612244897959183673 then take the square root of that number to get 0.14285714285714285714285714285714. Then plug in the numbers which after that your answer 0.14285714285714285714285714285714 or 1/7.
Hope this helps...
Have a great day.
Based on the information marked in the diagram triangle PQR and triangle STU must be congruent
answer this pleasesssssss
eeeeeeeeeeeeeeeeee
Answer:
C is true.
Step-by-step explanation:
If you look at the model, the middle line in the box means the median and it is 7 so yeah! Hope this helped! Good Luck! :)
Answer:
I say the correct answer is "b" the minimum quiz score is 5.
Step-by-step explanation:
The correct answer I am choosing "b".
Find the area of the parallelogram 25 m 20 m
Answer:
500
Step-by-step explanation:
in triangle PQR, m angle R = 32, p = 21, and q = 21. what is side lenth r? explain each step
Answer:
11.577 = r
Step-by-step explanation:
Comment
When you draw a sketch of this, <R is between p and q - - both of which are lines. The Cos law is the one you use.
Equation
r^2 = p^2 + q^2 - 2pq * Cos(R)
Givens
p = 21
q = 21
R = 32
r = ?
Solution
r^2 = 21^2 + 21^1 - 2*21*21 * Cos(32) Substitute givens into the equation
r^2 = 441 +441 - 882 * 0.8480 Add the first two terms.
r^2 = 882 - 747.98 Multiply Cos(32) by 2 * 21 * 21
r^2 = 134.02 Subtract 747.98 from 882
sqrt(r^2) = sqrt(134.02) Take the square root of both sides.
r = 11.577
Find x. Round your answer to the nearest tenth of a degree.
16
х
12
Answer:
1.3
Step-by-step explanation:
tan(x) =16/12
=4/3
=1.33
=1.3
x=tan-1(1.3)
=52.4
{4x+2y=10
y=2x-1
What is the value of x+y
A.3.125
B.2
C.4.5
D.3.5
Answer:
D.3.5
Step-by-step explanation:
4x+2y=10(given)
2x+y=5
y=5-2x-----(1)
y=2x-1------(2)(given)
Since the left side of the equations are the the same,
5-2x=2x-1
4x=6
x=1.5
Sub x=1.5 into eq(1),
y = 5-2(1.5) = 5-3 = 2
so, x+y = 1.5+2 = 3.5
Answer:
4x+2y=10
y=2x-1
4x+2(2x-1)=10
4x+4x-2=10
8x=10+2
8x=12
8x÷8=10÷8
x=1,25
&
y=2x-1
=2(1.25)-1
=1.5
x+y=1.25+1.5
=2,75
Some one please help me at this point I am so tireddd thankyou
Answer:
4b+8 is 12b I'm pre sure
dont know about the rest sorry