Answer:
D
[tex]x = \frac{11}{ \tan(30 \degree) } \\ x = 11 \sqrt{3} [/tex]
[tex]y = \frac{11}{ \sin(30 \degree) } \\ y = 22[/tex]
desperate for help lol
Hi there! See the Identity below in the box:
[tex] \large \boxed{(f - g)(x) = f(x) - g(x)}[/tex]
We are also given that:
f(x) = 0g(x) = 7x+9Substitute both values in the equation.
[tex] \large{(f - g)(x) = 0 - (7x + 9)} \\ \large{(f - g)(x) = - (7x + 9)}[/tex]
Recall the property:
(-)(-) = +(+)(+) = +(-)(+) = -(+)(-) = -Same sign multiplying the same sign = + while opposite = -
Using the distribution property, distribute the negative sign in 7x+9. Since 7x+9 are positive for both terms - distributing in would turn the expression in negative form.
[tex] \large{(f - g)(x) = - 7x - 9}[/tex]
Hence, the answer is -7x-9.
Questions about the problem and my answer or explanation can be asked through comment.
Furthermore, (f-g)(x) is like a factored form of f(x)-g(x).
Hope this helps, and Happy Learning! :)
Joe can weed the garden twice as fast as his sister Janet. Together they can weed the garden in 2 hours. How long would it take each of them working alone?
A:[tex]\frac{1}{x}[/tex]
Answer:
Joe: 3 hrs
Janet: 6hrs
Step-by-step explanation:
joe takes x hours
so in 1 hr he does 1/x of the garden
janet takes 2x hours
so in 1 hr she does 1/(2x) of the garden
In one hour together they do 1/2 of the garden
1/x + 1/(2x) = 1/2
2/(2x) + 1/(2x) = 1/2
3/(2x) = 1/2
Cross multiply
6 = 2x
x = 3
Joe: 3 hrs
Janet: 6hrs
?????????????!!!!!!!!!
Answer:
B
Step-by-step explanation:
An isosceles triangular prism has a triangular end with a base
of 8 inches, an altitude of 3 inches, and a side length 5 inches.
The height of the prism is 9 inches. What is the surface area of
the prism?
Answer:
180
Step-by-step explanation:
Of the first 52 contestants, exactly 12 contestants win the game. How does the actual number of winners compare to the expected number of winners? What needs to happen for the experimental probability to approach the theoretical probability? Explain
pls help me
Answer:
Expected number of winners with 52 contestants:52*5/13 = 20.The experiment result is almost twice less (12 vs 20).In order to change the results of experimental probability some of the letters may need swapped, (probably the letters are in alphabet order) but for this we need more data.
Step-by-step explanation:
Experimental probability is probability that is determined on the basis of the results of an experiment repeated many times. Theoretical probability is probability that is determined on the basis of reasoning. Probability is a value between (and including) zero and one.
also whats your discord
l
Use 3 for T.
6cm
V = Ten
V ~ [?]cm
3
5cm
Enter your answer in decimal form.
Helppp
Answer:
150cm^3
Step-by-step explanation:
The problem says to use 3 for pi so then you just plug everything into the equation as 6=height and 5=radius
3*5^2*6=450
450/3=150
Answer:
...... The answer is 37.5cm³ , please ignore the handwriting...
How to measure an angle
Answer:
You can use Protector' but dint have use this method:
Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.
Someone help please I need this Answer Immediately!!!!!!
Answer:
y = -1/2x - 4
Step-by-step explanation:
A) 350 – 180 B) 468 – 257 C) 2,456 – 2,388 D) 986 – 799 E) 687 – 623A) 350 – 180 B) 468 – 257 C) 2,456 – 2,388 D) 986 – 799 E) 687 – 623v
Answer:
Whats ur quetsion?
Circle G has center (-4,2) and a radius of 6.
Circle H has center (-3,5) and a radius of 2.
Drag the options to complete the transformations that will show that circle G is similar to circle H.
and
unit(s)
1. Translate circle G
units)
2. Dilate circle G by a scale factor of
4
를
1
3
4
down
left
right
up
Answer:
1. Translate circle G T₍₁, ₃₎, 1 right, 3 up
2. Dilate circle 'G' by a scale factor of 1/3 ro
Step-by-step explanation:
The parameters of the two circles are;
The center of circle G = (-4, 2)
The radius of circle G, r₁ = 6
The center of circle H = (-3, 5)
The radius of circle H, r₂ = 2
The transformations that will show that circle G is similar to circle H are;
1. Translate circle G 1 unit right and 3 units up to locate the center of circle 'G' at the center of circle 'H'
Therefore the translation of circle 'G' to circle 'H' = T₍₁, ₃₎
2. The scale factor required to dilate circle 'G' to circle 'H', S.F. = r₂/r₁
Therefore;
S.F. = 2/6 = 1/3
The scale factor required to dilate circle 'G' to circle 'H' = 1/3
Therefore;
The radius of circle 'H' with a radius of 2 and center at (-3, 5) can be obtained from circle 'H', by a translation of T₍₋₁, ₋₃₎, and a dilation with a scale factor of 1/3
Write the equation of a circle with radius 9 and center (6, –4) in standard form.
The answer:
(x–6)²+(y+4)²=81
Matthew has 30 Starbursts. Twelve are yellow and the rest are red. What is the ratio of yellow starbursts to red?
Answer is 2:3.
~Refer to the attachment for the solution.
Find the length of the hypotenuse
Answer:
the answer is b
h^2= a^2+ b^2
h=√a^2+b^2
h=√5^2+3^2
h=√25+9
h=√34
An experiment observing the growth of two germ strand populations finds these patterns.
• The population of the first germ is represented by the function A(t) = (1-3)*+8.
• The population of the second germ is represented by the function B(x) = (1.3)+2+1.
Which function best represents function R, the ratio of the population of the second germ to the population of the first germ?
OB. R(5)
OA. R(3) = (1.3)65 +10
(2.6)85-8
oc R(x) = (1.3)31–0
OD. R() = (2.6)4+2+
Answer:
[tex]R(x) = (1.3)^{3x-8}[/tex]
Step-by-step explanation:
Given
[tex]A(x) = (1.3)^{x + 9}[/tex]
[tex]B(x) = (1.3)^{4x + 1}[/tex]
Required
Ratio B(x) to A(x)
This is calculated as:
[tex]R(x) = B(x) : A(x)[/tex]
Express as fraction
[tex]R(x) = \frac{B(x) }{A(x)}[/tex]
Substitute: [tex]A(x) = (1.3)^{x + 9}[/tex] and [tex]B(x) = (1.3)^{4x + 1}[/tex]
[tex]R(x) = \frac{(1.3)^{4x+1}}{(1.3)^{x+9}}[/tex]
Apply law of indices
[tex]R(x) = (1.3)^{4x-x+1-9}[/tex]
[tex]R(x) = (1.3)^{3x-8}[/tex]
Here is a diagram and its corresponding equation. Find the solution to the equation.
4+17=23
Step-by-step explanation:
4x+17=23
4x=23-17
4x=6
x=6/4
Tim wants to buy a new sound system for $145. He has already saved $65. He gets $20 for each lawn that he mows.
Answer:
4 Lawns
Step-by-step explanation:
Tim need to mow four lawns.
145 - 65 = 80
80 / 20 = 4
Find the composite area
Answer:
Area of the composite figure = 42 in²
Step-by-step explanation:
Composite area of the given figure = Area of the rectangle + Area of the right triangle
Area of the rectangle = Length × Width
= 6 × 5
= 30 in²
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(4)(6)[/tex]
= 12 in²
Area of the composite figure = 30 + 12
= 42 in²
28Million rouned to the nearst 10
Answer:
Exactly 28million
Step-by-step explanation:
HELP DUE IN 15 MINS!
x = ?? degrees
Answer:
VWU and FWT are vertical angles.
Their measure is same and:
VWU = 1/2(mVU + mFT)x = 1/2(174° + 52°)x = 113°Find h.
11 in.
h = [?] in
in.
14 in.
PLEASE OH PLEASE HELP ME IM DESPERATE
11^2 = h^2 + ( 14/2)^2
11^2 = h^2 + 7^2
121 = h^2 + 49
h^2 = 121 - 49
h^2 = 72
h = √72
MIC UP YOU SCARED TO GET PACKED!!!!!!
Answer:
lol huh...
Step-by-step explanation:
What’s the equation of the line in slope intercept form
Answer:
y = 1/7x + 3
Step-by-step explanation:
Graph
P1(-7,2)
P2(0,3)
m = y2-y1/x2-x1
m = (3-2)/(0-(-7))
m = 1/0+7
m = 1/7
y - y1 = m(x-x1)
y - 2 = 1/7*(x -(-7))
y-2 = 1/7*(x+7)
y = 1/7x+7*1/7+2
y = 1/7x+1+2
y = 1/7x+3
Badwater Basin, California, has the lowest elevation in North America. It is 279 feet below sea level. New Orleans, Louisiana, is 7 feet below sea level.
Answer:
272 feets
Step-by-step explanation:
Badwater Basin = 279 feets below sea level = - 279 feets (relative to sea level)
New Orleans = 7 feets below sea level = - 7 feets (relative to sea level)
Hence,
New Orleans is higher Than Badwater Basin by :
279 feets - 7 feets
= 272 feets
Find the volume of a pyramid with a square base, where the side length of the base is 17 in and the height of the pyramid is 9 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
The volume of the pyramid is 867 inch^3
Step-by-step explanation:
Here in this question, we are interested in calculating the volume of a square based pyramid.
Mathematically, we can use the formula below to calculate the volume V of a square based pyramid.
V = a^2h/3
where a represents the length of the side of the square and h is the height of the pyramid
From the question, the length of the side of the square is 17 in while the height is 9 in
Plugging these values, we have ;
V = (17^2 * 9)/3 = 17^2 * 3 = 867 cubic inch
please help me out !! i rlly need it!
Which could be a graph which represents a quadratic that is a perfect square trinomial?
Answer:
D/#4 represents a quadratic that is a perfect square trinominal. :-D
Using the figure, find the missing values. Round each value to the nearest whole number.
Answer:
44
14
19
47
Step-by-step explanation:
using trig functions
Kendall makes candles and sells them online. To make an Essential Elegance candle, she adds
3 drops of lavender and 6 drops of vanilla to a bowl of unscented wax. To make a Garden
Glory candle, she adds 4 drops of lavender and 10 drops of vanilla to the bowl instead. Which
candle has a greater ratio of lavender to vanilla?
Answer:
Essential Elegance Candle
Step-by-step explanation:
Ratios are Lavender:Vanilla
For the Essential elegance candle the ratio is 3:6 which can be simplified to 1:2 whereas the Glory Candle is 4:10 which can be simplified to 2:5 on either one the vanilla is the bigger number but in terms of ratio it would be the essential elegance since 1/2>2/5
a ball to a string and swing it in a horizontal circle. The tension of the string
points inward toward your hand as you spin it. Describe the path of the ball if the string
breaks.
Answer:
The Ball will fall towrds its digram just like pendulum
Step-by-step explanation:
How does a credit card company calculate finance charges on a credit card?