Angles (4x + 4°) and (6x - 4°) are supplementary.
That is :
[tex](4x + 4°) + (6x - 4°) = 180°[/tex]Solution :[tex]\hookrightarrow \: 4x + 4 \degree + 6x -4 \degree = 180 \degree[/tex]
[tex]\hookrightarrow10x = 180 \degree[/tex]
[tex]\hookrightarrow x = 18 \degree[/tex]
__________________________
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
A roof is supported o 7 rafter each 6 1/2 feet long at 70 cents running foot how much did those rafters cost
Answer:
$31.85
Step-by-step explanation:
total cost of the rafters = total length of rafters used x cost per foot
total length of rafters used = number of rafters used x length of rafters
7 x [tex]6\frac{1}{2}[/tex]
to solve, convert [tex]6\frac{1}{2}[/tex] to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
7 x [tex]\frac{13}{2}[/tex] = [tex]\frac{91}{2}[/tex]
cost per foot = 70 cents
100 cents = 1 dollar
70 cents = $0.70
total cost of rafters = $0.70 x [tex]\frac{91}{2}[/tex] = $31.85
The selected accounts from the Blue Door Corporation's accounting records are presented below for the year ended December 31, 2015: Advertising expense $ 55,000 Interest revenue $ 30,000 Common stock 250,000 Inventory 67,000 Cost of goods sold 1,085,000 Rent revenue 24,000 Depreciation expense 125,000 Retained earnings 535,000 Dividends 150,000 Salaries and wages expense 675,000 Freight-out 25,000 Sales discounts 8,500 Income tax expense 70,000 Sales returns and allowances 41,000 Insurance expense 15,000 Sales revenue 2,400,000 Interest expense 70,000 Prepare a multiple-step income statement.
Solution :
Sales Revenue
Sales $ 2,400,000
Less:
Sales discount $ 8,500
Sales returns and allowances $ 41,000
$ 48,500
Net Sales $ 2,350,500
Cost of goods sold $ 1,085,000
Gross profit $ 1,265,500
Operating expense :
Salaries expenses $ 675,000
Advertising expenses $ 55,000
Depreciation expense $ 125,000
Freight expense $ 25000
Insurance expense $ 15,000
Total operating expenses $ 895,000
Operating income $ 370,500
Non operating income
Interest revenue $ 30,000
Rent revenue $ 24,000
$ 54,000
Non Operating expenses :
Interest expense $ 70,000
Income before income tax $ 354,500
Income tax expense $ 70,000
Net income $ 284,500
find the value of Y
.....
Answer:
[tex] y = 6 \sqrt{3} \: units[/tex]
Step-by-step explanation:
In order to find the value of y, first we need to find the length of the perpendicular dropped from one of the vertices of the triangle to its opposite side.
By geometric mean theorem:
Length of the perpendicular
[tex] =\sqrt{9\times 3}[/tex]
[tex] =\sqrt{27}\: units [/tex]
Next, by Pythagoras theorem:
[tex] {y}^{2} = {9}^{2} + {( \sqrt{27} )}^{2} \\ \\ {y}^{2} = 81 + 27 \\ \\ {y}^{2} = 108 \\ \\ y = \sqrt{108} \\ \\ y = \sqrt{36 \times 3} \\ \\ y = \sqrt{ {6}^{2} \times 3} \\ \\ y = 6 \sqrt{3} \: units[/tex]
Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.
please help meeeeeeee
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channel name sabrina clodia
Answer:
x + y = 60
Step-by-step explanation:
[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]
f(x)=2x^2−3x+5 Identify the quadratic term in the function.
Answer:
2×2-3×-5=0
Step-by-step explanation:
(2×2-3×)- 5=0
Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?
On a coordinate plane, point A is (negative 3, 4) and point B is (4, 3).
Point B is the result of a 180° rotation.
Point A and B have the same x-coordinate.
Point B is the result of a 90° counterclockwise rotation.
Point A and point B are the same distance from the origin.
Answer:
D
Step-by-step explanation:
I took Edgy 2021 test
Answer:
D
Step-by-step explanation:
Helppp me pleaseee ASAP
Answer:
$856.91 after 7 years
Step-by-step explanation:
Initial investment, P = 500
Interest rate, i = 8% (compounded once a year, i.e. annually)
Number of years, t = 7
Substitute in compound interest formula
Future value,
A = P (1 + 0.08/1) ^(1*7)
= 500 (1.08)^7
= 856.91 (to the nearest cent)
Find y.
Round to the nearest tenth:
29°
500 ft
у
X
y = [? ]ft
Y’all please help :,,,)
Answer:
Step-by-step explanation:
sin A = [tex]\frac{opposite side}{Hypotenuse}[/tex]
Sin 29 = [tex]\frac{y}{500}[/tex]
0.4848 * 500 = y
y = 242.4 ft
Answer:
Y=242.4
Step-by-step explanation:
due to the association property the angle at the bottom left is 29 degrees
since sine property is oposite over hypothesis we get
sine(29)=y/500
500sin(29)=y
Y=242.4
2x10+3a=59 What is a?
answer is :59/3-2x^10/3
Step-by-step explanation:
A rectangular dog pen is constructed using a barn wall as one side and 63 m of fencing for the other three sides what is the maximum area of the dog pen
If using the method of completing the square to solve the quadratic equation
x2 + 7x + 10 = 0, which number would have to be added to "complete the
square"?
Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
4. At a convenience store, juice costs $3.25 and magazines cost $8.50. What is an algebraic expression for
the total income received by the convenience store for the sale of juice and magazines?
b) 3.25W + 8.57 c) 3.25j + 8.5m d) none of the above
Answer:
the answer is c
Step-by-step explanation:
juice would be 1 variable and magazines would be another. u would put each variable next the things that they represent, so j for juice would be put with 3.25 because that's how much 1 bottle costs. The variable m would be with 8.5 because that's how much the magazines cost.
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
C = 32π
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 16 = 32π units
A garden table and a bench cost 816 combined. The garden table costs 84 less than the bench. What is the cost of the bench?
Answer:
366
Step-by-step explanation:
A garden table and bench cost 816 when combined together
The garden table cost 84 less than the bench
Therefore the price of the bench can be calculated as follows
x + (x+84)= 816
2x+84= 816
2x= 816-84
2x= 732
Divide both sides by 2
x= 732/2
= 366
Hence the price of the bench is 366
standard form, degree, leading coefficient of 2x(2)-7x(4)+5x
How do you write an equivalent logarithmic equation for e^4=x
Answer:
4 = ln x
Step-by-step explanation:
e^4=x
Take the natural log of each side
ln(e^4)=ln(x)
We know ln a^b = b ln a
4 ln e = ln x
ln (e) =1
4 = ln x
what is the result when this equation is solved for y?
Answer:
Ans:C
Step-by-step explanation:
4x^2+10x-2=6
4x^2+10x=6+2y
4x^2+10x-6=2y
(4x^2+10x-6)÷2=y
y=2x^2+5-3
Hope this is useful :)
A(n) _____ is a statement that you conclude to be true based on logical reasoning. argument proof conclusion conjecture
Answer: conjecture
Step-by-step explanation:
A conjecture is a statement or an opinion based on logical reasoning or trivial facts that are always true. It does not require any proof.
Thus, A conjecture is a statement that you conclude to be true based on logical reasoning.
Note:
Conclusion = Result made after a generalized study.Argument = A series of reasons that leads to a conclusion.proof = An argument that uses written justification in the form of definitions, properties, postulates, and previously proved theorems.Find The Volume & Show Work pls
Answer:
288 pi yds^3
Step-by-step explanation:
First find the volume of the cylinder
V = pi r^2 h = pi (6^2) * 24 = pi (36)*24 =864 pi
Then find the volume of one sphere
V = 4/3 pi r^3 = 4/3 pi (6)^3 = /43 pi (216) =288 pi
There are 2 sphere so multiply by 2
288 pi *2 =576 pi
Subtract the spheres from the cylinder
864 pi - 576 pi =288 pi
prove that 9^3/2 -3 *5^0 -(1/81)^-1/2 = 15
Pls help, correct answer, I’ll mark as brainliest
Answer:
[tex]9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15[/tex]
Step-by-step explanation:
The given expression is :
[tex]9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15[/tex]
We need to prove that LHS is equal to RHS.
Taking LHS,
[tex]=9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}[/tex]
[tex]=(3)^{2\times\dfrac{3}{2}}-3-(\dfrac{1}{9})^{2\times \dfrac{-1}{2}}\\\\=27-3-9\\\\=15\\\\=RHS[/tex]
Hence, LHS = RHS.
Choose the function whose graph is given by:
+1
2
x
+-1
- -2
-4
O
A. y= 4sin(x+1) - 2
B.y= 6sin(x+1) - 2
c. y= 4cos(x- 1) +2
D. y= 4sin(x-1) - 2
Your answer would be y=4sin(x+1)-2. That would be A.
The required function is y = 3 sin (x -2) + 1.
What is Function?A relation between a collection of inputs and outputs is known as a function.
A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).
From the graph that is provided to us we observe that,
when x=2
then f(x)=1
Here, from the function y = 3 sin (x -2) + 1
So, when x=2
we get: y=1
Also, all the other points are satisfied.
Learn more about Function here:
https://brainly.com/question/12801690
#SPJ7
A number cube is rolled once. What is the probability of rolling a three
Answer:
1/6
Step-by-step explanation:
A dies has six sides
1,2,3,4,5,6
There is 1 three
P(3) = number of threes/ total numbers
= 1 / 6
Here are the equations of two different graphs: y = x-7 and y = 3x - 7 Are the gradients of the graphs the same or different? Explain how you know.
help please
Answer:
this two graph is not same because they have different slopes for this they are not same
If the scale factor of a figure is 6, what is the new length of the enlarged figure matched to the length of the orginal?
Original: 1 cm
Enlarged: 6 cm
Original: 7 cm
Enlarged: 42 cm
Original: 2.5 cm
Enlarged: 15 cm
Original: 5 cm
Enlarged: 30 cm
Answers:
Original = 1 ----> Enlarged = 6Original = 7 ----> Enlarged = 42Original = 2.5 ----> Enlarged = 15Original = 6 ----> Enlarged = 30It looks like you have the correct order. To get those answers above, we simply multiply the original length by the scale factor 6.
Example: 7*6 = 42
Find the circumference of each circle from the given radius or diameter
can you please find the range of these numbers? 18, 16, 19, 15, 17. I will give 16 points
Answer: Hi the Range is 4
Step-by-step explanation: The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator. Using the same example:
18, 16, 19, 15, 17
19,18,17,16,15
19-15= 4
ssignment-make sure I can open it.
Factor
6
2) Using SYNTHETIC Division, is “X = 2” a
solution of the polynomial 2x² + 3x2 - 11X – 6
*Show all work just below
help me pls...............
Answer:
2.58
Step-by-step explanation:
3 1/3% = 0.03333
2.5 x 1 + 0.33333 gets us 2.5833
Simplify to 2.58
We add the 1 to 0.33333 to get us the original number.
Hope this Helps!
Question 10 of 10 To find the inverse of f(x) = 2x - 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step? A. Replace y with f-1(x). B. Subtract 1 from both sides of the equation. C. Solve the equation for y. O D. Solve the equation for x. SUBMIT
Answer:
f⁻¹(x) = (x+1)/2
Step-by-step explanation:
Given the function f(x) = 2x - 1, we are to find its inverse;
Let y = f(x)
y = 2x - 1
Replace y with x
x = 2y - 1
Make y the subject of the formula
2y = x + 1
Divide both sides by 2
2y/2 = (x+1)/2
y = (x+1)/2
Replace y with f⁻¹(x)
f⁻¹(x) = (x+1)/2
Hence the required inverse is (x+1)/2
