Answers
Answer:
Angle M = 63
Angle N = 96
Step-by-step explanation:
By exterior angle of triangle:
Angle M + Angle N = 159
(4y+3)+(6y+6)=159
y = 15
Angle M = 4y + 3 = 4(15) + 3 = 63
Angle N = 6y + 6 = 6(15) + 6 = 96
Related Questions
Prove that
sinAtanA/1-cosA
= 1 + SECA
Answers
Answer:
The proof is done in the step-by-step explanation below.
Step-by-step explanation:
We are given the following identity:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}}[/tex]
And we have to show that this is equals to:
[tex]1 + \sec{A}[/tex]
Multiplying numerator and denominator by the conjugate of the denominator:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}} \times \frac{1+\cos{A}}{1+\cos{A}}[/tex]
[tex]\frac{\sin{A}\tan{A}(1+\cos{A})}{1 - \cos^2{A}}[/tex]
We use these following identities:
[tex]\sin^2{A} + \cos^2{A} = 1[/tex]
So
[tex]1 - \cos^2{A} = \sin^2{A}[/tex]
Also:
[tex]\tan{A} = \frac{\sin{A}}{\cos{A}}[/tex]
Then
[tex]\frac{\sin{A}\sin{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{\sin^2{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{1 + \cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + \frac{\cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + 1[/tex]
Since:
[tex]\sec{A} = \frac{1}{\cos{A}}[/tex]
We have that:
[tex]1 + \sec{A}[/tex]
Thus, the proof is done.
Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?
Answers
Answer:
follow me please and give thanks
I need help please...
Answers
Answer:
16^2+32cd+16d^2
Step-by-step explanation:
(4c×4d)(4c+4d)
16c^2+32cd+16d^2 use the foil method
Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x
Answers
Answer:
The constant of proportionality is 7.87.
Step-by-step explanation:
The relation between x and y is given by the equation :
y = 7.87x
y is directly proportional to x i.e.
y ∝ x
To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of proportionality is 7.87.
Graph identify the solution. y =-3/5x-3. y=3
Answers
Answer:
X= -10
Step-by-step explanation:
Adult tickets cost $9 each and student tickets cost $6 each. A total of 29 tickets were sold worth $210. How many adult tickets were sold?
Answers
Answer: 12 adult tickets where sold
Step-by-step explanation:
Elmer is purchasing 2 4/5 pounds of candy that cost $1.85 per pound.
If he pays with $10, how much will he get in change? HELP I WILL MARK BRAINIEST
Answers
Answer:
hi
Step-by-step explanation:
Daniel bought 1 pound of jelly beans and 2 pounds of chocolates for $2.00. ... for $1.50. How much would he have to pay on his next trip to the candy store if he bought 1 pound of each of the 4 kinds ... How many are there? Assign ... Multiply each equation by a factor, so that all equations will have the same total price: 3(1j +.
Hope this helps!
The cost c varies directly as the numbers n of pencils is written as A. c = kn B. k+ cn C. n = k/c D. c =k/n
Answers
Answer:
A. c = kn
Step-by-step explanation:
The cost c varies directly as the numbers n of pencils
This means that c is a multiplication of a constant by n, which is the number of pencils. So the equation for the cost is given by:
[tex]c = kn[/tex]
In which k is the constant of proportionality, that is, the cost of each pencil. So the correct answer is given by option A.
(I SUCK AT MATHS)
If 15 metres of rope costs £22.50, how much would 12 metres cost?
Answers
Take 22.50. Divide by 15
You get 1.5
Then 12 * 1.5 = 18
Answer:
$18
Step-by-step explanation:
22.50×15=1.50
1.50×12=18
3(x + y) (2x - 3y) + (x + y)×2 factorize
Answers
Answer:
(x + y) (6 x - 9 y + 2)
6 x^2 - 3 x y + 2 x - 9 y^2 + 2 y
1\/24 (12 x - 3 y + 2)^2 + 1\/24 (-225 y^2 + 60 y - 4)
Step-by-step explanation:
its one of these 3 answers
Diana spent $5 on lunch. She purchased a sandwich and a drink. The drink cost $2. The
equation s + 2 = 5 can be used to find the cost s of the sandwich. Which model shows the
equation?
Answers
subtract 2 from 5 and you get 3
Explain the difference between (-5)squared and -5squared.
Answers
Answer:
The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.
All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.
A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the bubbles is about 0.3 mm. According to the formula below, what would be the volume of one of these bubbles? r = root(3, (3V)/(4s))
Answers
V = 4(3.14) (0.3)³ / 3
V = 0.11 mm³
Option A
Describe the characteristics of metal in which metal converts into sheet.
Answers
Answer:
a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)
Step-by-step explanation:
1. The nominal rate on Sandra's loan is 7.125%. If the interest is compounded monthly, what rate of
interest is Sandra actually paying? (use the formula)
Answers
Answer:
She is actually paying a rate of 7.36% of interest.
Step-by-step explanation:
The real interest rate, as a decimal, is given by:
[tex]I = (1 + \frac{r}{n})^{n}[/tex]
In which r is the interest rate and n is the number of compoundings during an year.
The nominal rate on Sandra's loan is 7.125%, compounded monthly:
This means that [tex]r = 0.07125, n = 12[/tex]
So
[tex]I = (1 + \frac{0.07125}{12})^{12} = 1.0736[/tex]
As a percentage: 1.0736*100 = 107.36% - 100% = 7.36%
She is actually paying a rate of 7.36% of interest.
What is the percent of decrease from 1,000 to 90?
Answers
Answer:
91%
Step-by-step explanation:
Hope I helped:)
For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2+5
Answers
Answer:
honestly I don't know the answer
Which investment would make you the most interest? Explain.
A: $450 at 7% for 10 years
B: $1,300 at 5% for 6 years
Answers
I need to find the x of the triangle.
Answers
Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13
Answers
Answer:
i dont know
Step-by-step explanation:
Question 11
A rectangle with a perimeter of 12 inches is enlarged by a scale factor of 3. What is the perimeter of the enlarged
rectangle?
Answers
Answer:
The perimeter of the enlarged rectangle is 36 inches.
Step-by-step explanation:
Perimeter of an enlarged figure:
To find the perimeter of an enlarged figure, we multiply the perimeter of the original figure by the scale factor.
In this question:
Perimeter of the original rectangle: 12 inches
Scale factor: 3
Perimeter of the enlarged rectange:
12*3 = 36 inches
2) 1) A 6 ft tall lawn ornament standing next to a baby elephant casts a 18 ft shadow. If the baby elephant casts a shadow that is 12 ft long, then how tall is it?
Answers
Answer: 4 feet.
Step-by-step explanation:
Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3
Proportion from baby elephant to its shadow = x : 12ft
These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.
In order to solve this problem, we need to cross multiply. (Attached image)
So, 3x = 12.
By solving this equation, we find that x = 4
The height of the baby elephant is 4 feet.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
help me out please :(?
Answers
Answer:
3x2+15x=18
Step 1: Subtract 18 from both sides.
3x2+15x−18=18−18
3x2+15x−18=0
Step 2: Factor left side of equation.
3(x−1)(x+6)=0
Step 3: Set factors equal to 0.
x−1=0 or x+6=0
x=1 or x=−6
Answer:
A
I worked them out myself so if their wrong uh please don't get mad I tried my best.
Step-by-step explanation:
3x (2) + 15x = 18 3x (2) + 15x = 18
6x + 15x = 18 6x + 15x = 18
-6x + -6x = 18 -18 -18
-------------------------- ------------------------
0 + 9x = 18 6x + -3 = 0
------ ------- -3 + -3
18 18 --------------------
x = 2 -3 + 0
X = -3
Which graph represents the function?
f(x)=x+2‾‾‾‾‾√3
Answers
Answer:
the correct answer is the last one to the right side
Answer:
Equation :
f(x) = ³√x+2
The fourth option.See image.
I hope the image helps.
3 is less than w, and 8 is greater than w
Answers
Answer:
Whats the question?
Step-by-step explanation:
Srry i couldnt help
Answer: 3 < w < 8
Step-by-step explanation:
If 3 is less than w you would write that as 3 < w.
Now you have 8, which is greater than w and that is written as 8 > w or w < 8.
Therefore, 3 < w < 8
A spinner has five equal portions colored orange, red, blue, yellow, and green. What are the odds against spinning a red or an orange?
Answers
Answer:
2/5
the denominator is five because it says that there is five equal portions of the spinner. The numerator is too because you are trying to find the odds of getting two colors
help me pls i need help
Answers
Answer:
B
Step-by-step explanation:
:-)
Answer:
B
Step-by-step explanation:
This problem is to compare the value of the two numbers. Obviously, 0.21>0.012
A circle has a central angle of 6 radians that intersects an arc of length 14in
Answers
arclength/circumference=centralangle/2piradians
14/2pir=6/2pi
7/pir=3/pi
times pir both sides
7=3r
divide by 3 both sides
7/3=r
well,
um
the answer is B
What is 56x1
Just a regular normal question from me
Your welcome in advance
Answers
Answer:
56
Step-by-step explanation:
Hope this helps
Answer:
56
Step-by-step explanation:
56×1=56
Please help me with this question
Answers
Answer:
An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2
Step-by-step explanation:
plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2