sin F = bc a/b c/a a/c
[tex]\\ \rm\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sinF=\dfrac{GE}{FG}[/tex]
[tex]\\ \rm\Rrightarrow sinF=\dfrac{a}{c}[/tex]
Step-by-step explanation:
[tex]thank \: you[/tex]
5x + 1/3(3x + 6) >14
Answer:
[tex]5x + \frac{1}{3} (3x + 6) > 14 \\ lcm = 3 \\ \\ (3 \times 5x) + 3 \times \frac{1}{3} (3x + 6) > 14 \times 3 \\ \\ 15x + 3x + 6 > 42 \\ 18x + 6 > 42 \\ 18x > 42 - 6 \\ 18x > 36 \\ x > 2[/tex]
Answer is below
x > 2
How I did it
What I first did was divide 3x + 6 by 3 because when you multiply by 1/3 it's basically just dividing by 3.
5x+x+2>14
Simplify
6x+2>14
Subtract 2 on both sides
6x>12
Since you want to get x by itself you divide both sides by 6, singling out x
x>2
Hope this helps!
Beverly just filled up her gas tank, which has enough gas to last her, at her usual driving rate, about 45 days. However, Beverly becomes extra busy and begins driving 66.6% more than she usually does. How many days does the tank of gas last Beverly at her new rate?
Answer:
27 Days
Step-by-step explanation
The rate of her gas consumption is inverse to the time she is driving. This means that if her time spent driving is increased by 66.66% (5/3 of the original rate), then it would inverse to create her decreased gas consumption by 3/5.
3/5 of 45 = 27
27 days
hope this helps :)
PLEASE HELP
Simplify the following expression into a fraction with no exponents. Write your answer in the form a/b. 6^-2
Answer:
1/36
Step-by-step explanation:
6^-2
~Use negative exponent rule [ a^-b = 1/a^b ]
1/6^2
1/36
Best of Luck!
Answer:
[tex]\huge\boxed{\sf \frac{1}{36}}[/tex]
Step-by-step explanation:
[tex]\displaystyle = 6^{-2}\\\\We \ know \ that\ a^{-b} = \frac{1}{a^b} \\\\= \frac{1}{6^2} \\\\= \frac{1}{36} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!1. Write each of these products as a quadratic
expression of the form x2+bx+c. That is, write
each product in standard form.
a. (x+3)(x + 5)
b. (x – 4)(x + 7)
C. (x-6)(x - 2)
Step-by-step explanation:
maybe I am wrong sorry for that but try to understand it
have a great day
d = 6 and e = 2
4e + d + 12 - 2e
Answer:22
Step-by-step explanation:
4*(2) + (6) +12 - 2*(2)=
8 +6 +12 -4=
14 +8= 22
Answer: 22
Step-by-step explanation:
A Cheetah running at 61 miles per hour is chasing an American Antelope that is running
at a rate of 1583 meters per minute.
Which animal is running at a faster rate?
Answer:
Cheetah
Step-by-step explanation:
American Antelope's speed = 94980 meters per hour
= 59 miles per hour
The Cheetah is faster than the American Antelope
Gina answered 42 out of 50 items correctly on a math test. What percent of the
items were correct? (Hint: Set up a ratio: 42/50=?/100=__%. Cross-multiply and divide the product by 50.)
Answer:
84%
Step-by-step explanation:
you cross multiply 42/50 by 2 and then u get 84/100
What is the y-intercept of the function f(x) = 2 • 3x?
A.
(0, 2)
B.
(0, 3)
C.
(0, 6)
D.
(2, 0)
Answer:
(0,2)
Step-by-step explanation:
Hi there!
[tex]f(x) = 2*3^x[/tex]
The y-intercept of any function occurs when x=0.
To find the y-intercept, solve for f(0):
[tex]f(0) = 2*3^0\\f(0) = 2*1\\f(0) = 2[/tex]
Therefore, the y-intercept is 2 and occurs at (0,2).
I hope this helps!
17) There are 250 people at the mall and 148
have brown hair, approximately what percent
of the people have brown hair?
a) 20%
b) 60%
c) 70%
d) 100%
Graph each set of integers on a number line
(-5, -1, 10, -9
Answer:
65÷5(18-5)
=65÷5×13
=13×13
=169
PLS HELP IF DONE CORRECTLY I WILL MARK AS BRAINLIEST!!! In ΔJKL, solve for x
Answer:
x = 74.89
Step-by-step explanation:
Because this is a right triangle we can use trigonometric ratios to solve for x
Remember the three main trig ratios are sine, cosine and tangent
Where
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
and Tangent = Opposite over Adjacent
In order to use trig ratios we must have a known angle that is not a right angle.
We are given ∠J which has a measure of 27°
We are also given ∠J's opposite side length. ( has a length of 34 )
and "x" is the hypotenuse.
When dealing with opposite and hypotenuse we use Sine
SineФ = Opposite over Hypotenuse
Ф = 27, opposite = 34 and hypotenuse = x
Sin(27) = 34/x
solve for x
Multiply both side by x
sin(27) x = 34
divide both sides by sin (27)
x = 34 / sin (27)
simplify
x = 74.89 ( rounded to the nearest hundredth )
and we are done!
Answer:
The answer is 74.89
Step-by-step explanation:
Well it gives you 2 angles and one side length using the formula Called SAS you can find the missing lengths and side x = 74.891 while the other side equals 66.729. Hope this helps
What is the point-slope form of the linear equation y= 4/3x +2?
Which is the circumference of the circle? (Use = 3.14)
A. 376.8 cm
B. 188.4 cm
c. 113.04 cm
D. 37.68 cm
E 18.84 cm
Answer:
D 37.64
Step-by-step explanation:
C=2πr
so 2✘3.14 ✘6
The sum of 6 and -10, decreased by 4.
Numerical expression
Answer:
6+10×4=40+6=46 number
find the coordinates for the center of a circle with a diameter having endpoints at (0,2) and (-9,-2)
Answer:
(x−2)2+(y+1)2=100
Explanation:
the standard form of the equation of a circle is
2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2 where ( a , b ) are the coordinates of the center and r is the radius to find the center we require the midpoint of the 2 given points center = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ] center = ( 2 , − 1 ) the radius is the distance from the center to either of the 2 given points calculate the radius using the distance formula ∙ d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2 let ( x 1 , y 1) = ( 2 , -1 ) and ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ← equation of circle
Which interval notation represents the set of all numbers from -3 to 0, inclusive?
Answer:
{ - 3, 0 ]
Step-by-step explanation:
parenthesis ( ) is used when the interval does not include the end values
brackets [ ] are used when the interval includes the end values
The end values here are - 3 and 0 so brackets are used, that is
[ - 3, 0 ]
I need help ASAP
Please someone help
Answer:
Step-by-step explanation:
Please Upload clear image
HELP ME PLS
Write the ratio
3/8 with a numerator of 9.
Answer:
24
Step-by-step explanation:
3 9
8
9 times 8
divided by 3 = denominator
9x8÷3=24
Answer:
[tex]\frac{9}{24}[/tex]
Step-by-step explanation:
Skills needed: Identify numerator, Multiplying to change fraction
1) First, we need to know what the numerator is. The numerator is the upper number of the fraction, which is separated by the fraction bar FROM the denominator (the bottom part of the fraction).
In this fraction, 3 would be the numerator as it is the top number.2) What we need to do here is rewrite the fraction [tex]\frac{3}{8}[/tex] so that the numerator is 9. Let's look at it in another way:
[tex]\frac{3}{8} * \frac{x}{x} = \frac{9}{z}[/tex] (The reason it is [tex]\frac{x}{x}[/tex] is because we want to multiply the original fraction/ratio by 1 so that we do not change it).
3) Now we know that [tex]3 * x=9[/tex], and if we divide both sides by 3, we get:
[tex]x=3[/tex].
This means it would be:
[tex]\frac{3}{8} * \frac{3}{3} = \frac{9}{z}[/tex]
Now we need to find [tex]z[/tex]. [tex]z=8*3 = 24[/tex]. [tex]z=24[/tex].
The numerator of our fraction would be 9, and the denominator is 24, making our answer: [tex]\frac{9}{24}[/tex].
Hope you understood and have a nice day!! :D (If you have any questions, please comment, and I can try to help!)
cosA_1+sin1 + 1+sinA_cosA=2secA
Step-by-step explanation:
all steps are done in the picture
cb-b; use b = - 3, c = - 1
Answer:
6Step-by-step explanation:
Let b= - 3, c= - 1cb - b = ?(-1)(-3) - (-3) = ?3 - (-3) = 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
Answer:
TR = 23
Step-by-step explanation:
first we have to find TS, so we subtract 16 from 4 to get 12. then we can add 12 and 11 to get TR
please do help - this is my TENTH TRY DOING THIS
Answer: Box A is the first 2
Box C is the 3 option
Step-by-step explanation:
Find f (2b^2) for (x)=x^2-4x
Answer choice is
A. 4b^4 -8b^2
B. 2b^4-8b^2
C. -4b^2
D. 4b^2 - 8b^8
Answer:
A
Step-by-step explanation:
We are given the function:
[tex]f(x) = x^2 - 4x[/tex]
And we want to find:
[tex]\displaystyle f(2b^2)[/tex]
Substitute:
[tex]\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned} f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}[/tex]
In conclusion, our answer is A.
What fraction does point A represent on the number line?
0 A
If zt ⋅ z5 = z15 , what is the value of t ?
Answer:
t = 10
Step-by-step explanation:
z^t ⋅ z^5 = z^15
We know that a^b*a^c = a^(b+c)
z^(t+5) = z^15
Since the bases are the same, the exponents are the same
t+5 = 15
t = 15-5
t = 10
Pls help me guys!
Which of the four pairs shown below are INVERSELY proportional? Select ALL of the correct answers.
1 : The number of lights switched on and the amount of energy used
2 : The number of people painting a fence and the time taken
3 : The number of animals on a farm and the age of the farmer
4 : The amount of rainfall and the number of storms
Answer:
2
Step-by-step explanation:
The example of speed and time is a basic and appropriate example of inversely proportional. As the speed increases, the time to complete your trip will decrease
PLEASE HELP 25points!
Answer:
2×10⁵ is the same as 200,000 and 3×10⁴ is the same as 30000 so this simply means you have to multiply the 2 figures and give the answer in standard form
200,000×30000
6000000000
which will be written as
6×10⁹
I hope this helps
Select the correct answer. Consider this absolute value function. f(x)= |x-5| How can function f be written as a piecewise function?
(multiple choice)
Answer:
Option A.
Step-by-step explanation:
An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.
[tex]|x-5|=x-5[/tex]
or
[tex]|x-5|=-(x-5)=-x+5[/tex]
The only options with these equations are A. and D.
D. can be eliminated as the inequalities given for the piecewise function do not match f(x)
To see it visually, you can try graphing it on a calculator or internet graphing service.
Help plz? Confusion :( mark brainiest if right
Answer:
The answer is C
Step-by-step explanation:
since the left side reads k times a, the only way to get a by itself is by dividing both sides by k