Answer:$54 per week
Step-by-step explanation:
$9/hour. 6 hours/week. 6 x $9 = $54/week
Solve for x in the following:
Answer:
[tex] \boxed{\boxed{ \red{\: x = \begin{cases} \frac{\pi}{8} + 7 + \frac{k\pi}{2} \\ - 6 + \frac{\pi}{12} + \frac{k\pi}{3} \end{cases}}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometry equationPEMDAStips and formulas:[tex] \cos(t) = \sin( \frac{\pi}{2} - t ) [/tex][tex] \sin(t) - \sin(s) = 2 \cos( \frac{t + s}{2} ) \sin( \frac{t - s}{2} ) [/tex]let's solve:[tex] \sf use \: first \: formula : \\ \sin(5x + 4) = \sin( \frac{\pi}{2} - (5 x + 4) )\\ \sin(5x + 4) = \sin( \frac{\pi}{2} - 5 x - 4) \\ [/tex][tex] \sf move \: the \: expresson \: to \: left \: side \: and \: change \: the \: sign : \\ \sin(5x + 4) - \sin( \frac{\pi}{2} - 5 x - 4) = 0\\ [/tex][tex] \sf use \: 2nd \: formula : \\ 2 \cos( \frac{8x - 56 + \pi}{4} ) \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex][tex] \sf divide \: both \: sides \: by \: 2 : \\ \cos( \frac{8x - 56 + \pi}{4} ) \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex][tex] \sf separate \: the \: equation: \\ \cos( \frac{8x - 56 + \pi}{4} ) = 0 \\ \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex]therefore
[tex] \therefore \: x = \begin{cases} \frac{\pi}{8} + 7 + \frac{k\pi}{2} \\ - 6 + \frac{\pi}{12} + \frac{k\pi}{3} \end{cases}[/tex]
Guided Practice
Find the distance you can see to the horizon from a height of 100 feet. Use the formula d = 1.5h⎯⎯⎯⎯⎯⎯⎯√ to approximate the distance d in miles to a horizon when h is the height in feet of the viewer's eyes above the ground. Round your answer to the nearest mile.
A.
12 mi
B.
10√1.5 mi
C.
13 mi
Answer:
A. 12 mi
Step-by-step explanation:
A.
12 mi
d===≈≈1.5h⎯⎯⎯⎯⎯⎯⎯√1.5•100⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√150⎯⎯⎯⎯⎯⎯√12.24712
The distance to the horizon is about 12 miles.
Tell which term you would add or subtract on both sides side of the equation so that the variable is only on one side.
7X – 1 = 2x + 5
Answer:
x=6/5
Step-by-step explanation:
A population of bacteria is increasing by 10% each hour.
Find the percentage increase in the population every 3 hours.
please help and thank you
Answer:
Step-by-step explanation:
2)
x + 14 [tex]\frac{13}{25}[/tex] = -0.87
x + [tex]\frac{363}{25}[/tex] = - [tex]\frac{87}{100}[/tex]
x + [tex]\frac{1452}{100}[/tex] = - [tex]\frac{87}{100}[/tex]
x = - [tex]\frac{87}{100}[/tex] - [tex]\frac{1452}{100}[/tex]
x = - [tex]\frac{1539}{100}[/tex]
3)
x -8 [tex]\frac{5}{6}[/tex] = 1.5
x - [tex]\frac{53}{6}[/tex] = [tex]\frac{9}{6}[/tex]
x = [tex]\frac{9}{6}[/tex] + [tex]\frac{53}{6}[/tex]
x = [tex]\frac{62}{6}[/tex]
x = [tex]\frac{31}{3}[/tex]
4)
x - [tex]\frac{7}{12}[/tex] = - 7 [tex]\frac{7}{16}[/tex]
x - [tex]\frac{28}{48}[/tex] = - [tex]\frac{119}{16}[/tex]
x = - [tex]\frac{357}{48}[/tex] + [tex]\frac{28}{48}[/tex]
x = - [tex]\frac{329}{48}[/tex]
5)
[tex]\frac{8}{9}[/tex] - x = 6 [tex]\frac{1}{15}[/tex]
[tex]\frac{8}{9}[/tex] = [tex]\frac{91}{15}[/tex] + x
[tex]\frac{40}{45}[/tex] - [tex]\frac{273}{45}[/tex] = x
- [tex]\frac{233}{45}[/tex] = x
x = - [tex]\frac{233}{45}[/tex]
6)
-33.754 - x = 28.05
-33.754 - 28.05 = x
- 61.804 = x
x = - 61.804
A motion detector at the corner of a building can detect motion outside within a radius of 20 feet. Within what area can it detect motion? The building takes up ¼ of the circle
What is the answer?, help me.
Answer:
128
Step-by-step explanation:
length*depth*height=Volume
8 * 4 * 4 =V
8*4*4=V
8*16=V
128=V
A cylinder has a volume of 48π
cm3 and height h. Complete this table for volume of cylinders with the same radius but different heights. Simplify fractions and write in the form a/b, if necessary.
Answer:
fddddisjsjjsjenejucudjjeennfjciicf
Answer:
for 2h the volume is 96π
for 5h the volume is 240π
for h/2 the volume is 24π
for h/5 the volume is 9.6π
Step-by-step explanation:
I hope this helps! if not i don't know what to say..
Valerie took a quiz with 10 questions. If she answered 2/5 of the questions correctly, how many did she get wrong?
Answer:
3/5; 6 questions
Step-by-step explanation:
She got 3/5 of the questions wrong
So,
3/5 of 10 = 3 * 2 = 6 questions
Answer:
3/5 = 6/10
Step-by-step explanation:
Valerie only got 4 questions correct meaning she got 6 questions incorrect.
2/5 = 4/10
which means
3/5 = 6/10.
Meaning she only got 6 wrong.
help me please for points
Answer:
the answer is c
Step-by-step explanation:
2/5=.4
4/8=.8
.4 is smaller than .8
Answer:
C
Step-by-step explanation:
2/5= 0.4
1/10= 0.1
4/5= 0.8
Given isosceles right triangle CDE with m∠D = 90, sin C = sin D
Answer:True
Step-by-step explanation:
Given
[tex]\angle D=90^{\circ}[/tex]
For isosceles triangle , CD=DE (x=y)
from figure,
[tex]\sin C=\dfrac{y}{H}\\\\\sin D=\dfrac{x}{H}\\\\\text{CD=DE}\\\\\therefore \sin C=\sin D=\dfrac{x}{H}=\dfrac{y}{H}[/tex]
Thus, the given statement is true
Brianna babysits on the weekend. She charges $7 per hour. Last weekend she made $63. How many hours did she babysit?
a. 7/h = 63
b. h/7 = 63
c. 7h = 63
d. 7 + h = 63
Answer:
I think its C but I think you have another response as another possibility!
Answer:
C
Step-by-step explanation:
HELPPPPP!
Seven more than the product of 7 and Craig's score
Answer:
14
Step-by-step explanation:
7+7
What is the value of p?
p-4=2p-14
Step-by-step explanation:
p-4=2p-14
p-2p=-14+4
-p=-10
p=10
5(2v - 9) = 7v + 36
Help please!
Answer:
= 2 7
Step-by-step explanation:
Answer:
v=27 easy
Step-by-step explanation:
What is the missing polynomial ?-(20-4x5x^2)=20-7x^2
Answer: [tex]-2x^2-4x+40[/tex]
Step-by-step explanation:
Suppose the missing polynomial be f(x)
So, we can write
[tex]\Rightarrow f(x)-(20-4x+5x^2)=20-7x^2\\\Rightarrow f(x)=20-7x^2+(20-4x+5x^2)\\\Rightarrow f(x)=-2x^2-4x+40[/tex]
A plane travels 3400 miles in 8 hours. How far would it travel in 6 hours at this rate? What is the Unit Rate: Write the equation: How far will the plane travel in 6 hours: (disance in miles)
Answer:
Unit rate 425 miles/hr, equation: m = 425h, in 6 hours plane will travel 2550 miles
Step-by-step explanation:
Set up a proportion, so 3400/8 = x/6 so x = 2550
Miranda le debe $120.00 a max .Le paga 30% de lo que le debe ¿cuanto le falta pagarle?
Answer:
84
Step-by-step explanation:
el 10% de 120= 12. 120-12= 108
el 20% de 120=24. 120-24=96
el 30% de 120=36. 120-36=84
el 40% de 120=48. 120-48=72
el 50% de 120=60. 120-60=60
A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and height as the cylinder?
The volume of the cylinder is 395.64 cubic cm
This recipe makes 24 shortbread fingers. Rose follows this recipe, but only wants to make 8 fingers. How much of each ingredient does she need?
Recipe: makes 24
120 g butter
60 g sugar
180 g flour
please help me
Answer:
Butter: 40g Sugar: 20g Flour: 60g
Step-by-step explanation:
Divide everything by 3
120/3= 40g
60/3= 20g
180/3= 60g
Answer:
she needs 40 g of butter 20 g of sugar and 60g of flour
Step-by-step explanation:
24 divided by 3 = 8 you need to cut the recipie to one third
120 divided by 3= 40 60 divied by 3 = 20 and 180 divided by 3 = 80
Artaud noticed that if he takes the opposite of his age and adds 38 he gets the number 22. How old is Artaud?
Answer:
16 years old
Step-by-step explanation:
22-38 = -16
The inverse of -16 = 16
what's is m when u are looking for x or y intercept
Answer:
Slope.
Step-by-step explanation:
mx+b
Answer:
Slope
Step-by-step explanation:
The equation of lines are normally formatted in "slope-intercept form"
(y = mx + b)
The b in the equation would be the y-intercept of the line.
The m represents the slope.
The x and y can be replaced with any x and y value from the line (if necessary)
A random sample of students were asked whether they prefer milk juice or water is it results are summarized in the table.
Answer:
C
Step-by-step explanation:
The probability of students response is milk is 0.311.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
The table shows the students preference of milk, juice or water.
Total number of students preferred milk = 14
Total number of students = 45
Thus the probability that the students response is milk is
[tex]P(e)=\frac{14}{45}[/tex]
⇒ [tex]P(e)= 0.311[/tex]
Hence we can conclude that the probability of students response is milk is 0.311.
Learn more about probability here
https://brainly.com/question/24091416
#SPJ2
What congruence criterion shows that
A ACE A BCD
?
E
B
A
D
AAS
SAS
HL
O ASA
Answer:
SAS
Step-by-step explanation:
It shows that triangle ACE and BCD are congruent by
SAS axiom
HOPE IT HELPS :)
by sas
EC=CD[GIVEN]
AC=CB(GIVEN)
<ECA=<BCD()VERTICAL OPPOSITE ANGLE
help!
i’ll give a brainiest to the correct answer:D
Answer:
104.4
tell me if you need solution
Ana marked 15% of the e-mails in her Inbox as Important. If she has 180 e-mails in her Inbox, how many did she mark as Important?
A n=0.15/180
B 180n = 0.15
C 0.15n = 180
D n=0.15(180)
math question please help
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Hello There!
First things first, we should find the rate of change / slope
given two points we can find the slope by using the slope formula which is
(let m be slope)
[tex]m = \frac{y_2-y_2}{x_2-x_2}[/tex]
To find the slope all we have to do is plug in the points
(1,5),(2,10)
remember the first numbers in an ordered pair are the x values and the second numbers are the y values
we also plug in the points of the second ordered pair first so
[tex]m=\frac{10-5}{2-1} \\10-5=5\\2-1=1\\m=\frac{5}{1} or5[/tex]
Knowing the slope we can create an equation to find the x value (a)
y=5x
given the y value we plug in y and solve for x
15=5x
divide each side by 5
15/5=3
5x/5=x
we're left with
x=3
so we can conclude when y =15 x = 3 therefore 3 is your answer
Find the area of this shape
Answer:
14
Step-by-step explanation:
HELP PLEASE DUE IN 3 MINUTES
The median is the number in the middle, which is 123.
When trying to find the median, you first have to put all the numbers in numerical order-- 110, 123, 123, 145, 256-- then find the number in the middle. The number in the middle is 123.
If this is incorrect, please, don't refrain to tell me. Thank you.
please please help i need a better grade
Answer:
The first one is (-3,2)
The second one is (3,4)
The third one is (1,-1)
The last one is (-4,-4)
I HOPE THIS BRINGS UP YOUR GRADE! :)