Answer:
1. x² - 6x + 9 = 55 + 9
x²-6x+9 = 64
2. (x-3)² = 64
x- 3 =+-8
x= 3+8 or 3 -8
x = 11 or 5
image below look at it and please help
Answer:
AB = 5.6 cm
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 62°
Hypothenus = BC = 12 cm
Adjacent = AB =?
The lenght of side AB can be obtained by using Cos θ ratio. This is illustrated:
Cos θ = Adjacent / Hypothenus
Cos 62 = AB / 12
0.4695 = AB / 12
Cross multiply
AB = 0.4695 × 12
AB = 5.6 cm
Thus, length AB is 5.6 cm
Mona has a bag containing 4 red marbles, 12 green marbles, and 8 black marbles. Without looking, she pulls out one marble from the bag and places it in an empty jar. She then pulls a second marble from the bag and places it in the jar. WHat is the probability that she will have 2 green marbles in the jar?
A. 12/24 x 11/23
B. 12/24 x 12/24
C. 1/12 x 1/11
D. 12/24 x 12/23
PLSSSSSSSSSSS ASAP!!!!! Find the area of the figure shown below.
Answer:
54 square ft
Step-by-step explanation:
Find missing sides:
8+6 = 14
9-6 = 3
Find area of full rectangle:
9×8 = 72
Find the area of the missing part of the full rectangle
3×6 = 18
Find the area of the actual shape:
72-18 = 54
Area = 54 square ft
Find the area of the shape shown below.
Answer:
8 units²
Step-by-step explanation:
What you have is a square with two triangles. We will break them apart, calculate the area and then add them together.
Square: A = l · w
2 · 2 = 4 un²
Triangle: A = (b · h) ÷ 2
(2 · 2) ÷ 2 = 2 un²
4 un² + 2 un² + 2 un²
8 un²
Identify a second of transformations that maps triangle ABC onto triangle A"B"C in the image below.
Answer: The answer is B because the triangle rotated a 90 degrees counterclockwise then got a reduction.
Step-by-step explanation:
If $917 earned $45 in 9 months, what was the simple interest rate of the investment
Example 2. Simple interest on $5000 over 4 years is $1800, what is the interest rate? Example 3. If you borrow $1200 at a 5% annual interest rate, how long will it take for the total amount owed to reach $1300? Example 4. Find the principal if the simple interest in 14 days at 25% per annum is 100.
The sum of two integers is 2. Their difference is 10.
What are the two integers?
-14 and -4
B
4 and 14
-2 and 4
D
-4 and 6
A curve passes through a point P(0, 3) and has the property that slope of curve at every point P is twice the y-coordinate of point P. Use the concept of exponential growth function to find the equation of curve.
Answer:
The equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].
Step-by-step explanation:
The exponential growth function is represented by the expression described below:
[tex]y = a\cdot b^{x}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a[/tex] - Initial value of [tex]y[/tex].
[tex]b[/tex] - Base.
By deriving (1), we obtain an expression for the slope of the curve:
[tex]y' = a\cdot b^{x} \cdot \ln b[/tex] (2)
If we know that [tex]x = 0[/tex], [tex]y = 3[/tex] and [tex]y' = 6[/tex], then we have the following system of equations:
[tex]a = 3[/tex] (3)
[tex]a\cdot \ln b = 6[/tex] (4)
By (3) in (4):
[tex]3\cdot \ln b = 6[/tex]
[tex]\ln b = 2[/tex]
[tex]b = e^{2}[/tex]
[tex]b = 7.389[/tex]
Therefore, the equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].
21. A Figure is shown below.
What is the area of the figure, in square inches?
Answer:
[tex]36+27\pi\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The figure consists of a square and a sector. We can add the areas of the square and sector to get the total area of the figure.
The area of a sector with measure [tex]\theta[/tex] in a circle of radius [tex]r[/tex] is equal to [tex]\frac{\theta}{360}\cdot r^2\pi[/tex]. Since there are 360 degrees in a circle and 90 degrees in each corner of a square, the measure of the sector is [tex]270^{\circ}[/tex].
Thus, its area is:
[tex]\frac{270}{360}\cdot6^2\cdot pi=\frac{3}{4}\cdot 6^2\cdot \pi=27\pi[/tex].
The area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex]. Therefore, the area of the circle is [tex]6^2=36[/tex] and the total area of the figure is [tex]\boxed{36+27\pi\:\mathrm{in^2}}[/tex]
Answer: 36+27in2
Step-by-step explanation:
Which of the following pairs of coordinates represents the same point in polar coordinates? Check all that apply.
(r,theta) and (r,theta+2pi)
(r,theta) and (-r,theta)
(r,theta) and (-r,theta+ 2pi)
(r,theta) and (-r,theta+pi)
A point that has the polar coordinate [tex](r,\theta)[/tex] can also be represented by [tex](r, \theta+2n\pi)[/tex] and [tex](-r, \theta+(2n+1)\pi)[/tex].
From the list of given options, [tex](r,\theta)[/tex] and [tex](-r, \theta+\pi)[/tex] are represents the same point
Recall that:
[tex](r, \theta+2n\pi)[/tex] and [tex](-r, \theta+(2n+1)\pi)[/tex] represents the same point
Where n is an integer
Assume [tex]n = 0[/tex]
[tex](r, \theta+2n\pi)[/tex] becomes
[tex](r, \theta+2n\pi) = (r, \theta+2\times 0 \times \pi)[/tex]
[tex](r, \theta+2n\pi) = (r, \theta+0)[/tex]
[tex](r, \theta+2n\pi) = (r, \theta)[/tex]
Similarly,
[tex](-r, \theta+(2n+1)\pi)[/tex] becomes
[tex](-r, \theta+(2n+1)\pi)=(-r, \theta+(2\times 0+1)\pi)[/tex]
[tex](-r, \theta+(2n+1)\pi)=(-r, \theta+(0+1)\pi)[/tex]
[tex](-r, \theta+(2n+1)\pi)=(-r, \theta+(1)\pi)[/tex]
[tex](-r, \theta+(2n+1)\pi)=(-r, \theta+\pi)[/tex]
This means that: [tex](r,\theta)[/tex] and [tex](-r, \theta+\pi)[/tex] represent the same point.
Hence, (d) is correct.
Read more about polar coordinates at:
https://brainly.com/question/13206882
Which statement tells how to graph the point (3, 2) on a coordinate plane? A. LIVE From the origin, move 2 units up and 3 units to the left. B. LIVE From the origin, move 3 units to the right and 2 units up. C. LIVE From the origin, move 3 units up and 2 units to the right. D. LIVE From the origin, move 2 units to the right and 3 units down
Answer:
Step-by-step explanation:
²³
I need this please help me
Answer:
A. Right 6, Down 5
Step-by-step explanation:
I don't know how to explain this
What formula could you use to calculate 0.9m circumference of the circle
Answer:
The formula for circumference of a circle is 2πr
Mark me brainliest teehee :)
What is the volume of a sphere with a radius of 3.1 cm, rounded to the nearest tenth
of a cubic centimeter?
Can Someone Please Help Asap!!
Answer:
y = 54
x = 36
Step-by-step explanation:
Using tan x or y = opp/adj
Ten divided by the quantity of y increased by 5.
Answer: what I need to know is what is y
Step-by-step explanation: I cant solve the problem if I dont know what y is, so can you plz tell me what y is!
Answer:
10
------
y + 5
Hope this helped!
0.125,0.25,0.5,1 sequence
Answer:
1,2,4,8,16,32
Step-by-step explanation:
power of two sequence
can someone help me :(
Answer:
A is the correct answer
.......................
Answer:
A. y+116+30=180
Step-by-step explanation:
A straight angle is 180°.
all the given angles make up a straight angle, so they add to 180°.
What is the expanded form of 8,609?
A 8,000+600+ 90
8,000+60+9
8,000 +900+ 6
8,000+600 +9
The last one 8,000 + 600 + 9
Calculate the volume of this can of baked beans:
Choices:
120.95cm3
38.5cm3
77cm3
423.32cm3
Answer:
423.32cm³
Step-by-step explanation:
Volume of a cylinder = [tex]V=\pi r^2h[/tex]
where r = radius and h = height
Given height = 11 cm
Given radius = 3.5 cm
* plug in these values into the formula *
[tex]V=\pi 3.5^211\\3.5^2=12.25 \\12.25\pi =38.48\\34.48*11=423.32\\V=423.32[/tex]
So we can conclude that the answer would be D
Which choice is equivalent to the product below when x > 0
Answer:
c
Step-by-step explanation:
[tex] \sqrt{ \frac{1}{ {x}^{2} } } \times \sqrt{ \frac{ {x}^{2} }{81} } = \frac{1}{x} \times \frac{x}{9 } = \frac{1}{9} [/tex]
The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below,
⇒ [√(1 / x²)] · [√(x² / 81)]
Simplify the equation, then we have
⇒ [√(1 / x²)] · [√(x² / 81)]
⇒ [1/x] · [x/9]
⇒ 1/9
The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ7
pls help me loves :((
Answer:
609 m²
Step-by-step explanation:
Area of unshaded:
(6 x 18) + ((13-6) x 7) = 157
Area of overall rectangle:
36 x 28 = 1008
Area of the chunck of rectangle not included:
11 x 22 = 242
Area of shaded:
1008 - 157 - 242 = 609
3360832553 ____ pass___ wZE2XQ
Answer:nice
Step-by-step explanation:
Answer:was this
Step-by-step explanation:
Not sure how to do this.
Answer:
200π
Step-by-step explanation:
Surface area is abbreviated to SA
TOTAL SA of cone = Base area + πrl
Base area = πr² = π x 8² = 64π
Curved SA = πrl = π x 8 x l
to work out l, use pythagoras theorem: √(15)² + (8)² = 17
so, curved SA = π x 8 x 17 = 136π
Total SA of cone = 64π + 136π = 200π
1+1 why does my dog not love me?
Answer:
2
Step-by-step explanation:
your dog doesn't love you because it saw what you did. it knows. be cautious around your dog from now on. it knows more than you think and sees all. I'm warning you
What is the least common multiple of 4, 5, and 12 ?
Answer:
60
Step-by-step explanation:
which expression is equivalent to (4^-5 * 4^4) + (2^6/ 2^3)
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
3. Solve the following problem using PEMDAS, 3x +3 (9x
2) – 4 =?
a. 48
b. 125
c. 2
Answer:
a
Step-by-step explanatio
Please help soon- The weight of oranges growing in an orchard is normally distributed with a mean
weight of 6 oz. and a standard deviation of 1 oz. From a batch of 2500 oranges, how
many would be expected to weight less than 4 oz., to the nearest whole number?
Find the quotient: 2 2/3 ÷ 3 1/4
Answer:
2/9
Step-by-step explanation:
convert mixed number to improper fraction
8/3÷3 1/4
dividing is equivalent to multiplying by the reciprocal
8/3×1/3×1/4
reduce the numbers with the greatest common factor 4
2/3×1/3
multiply the fraction
2/3×1/3=2/9
2/9 is your answer