Answer:
[tex]x =13.7[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
The relationship between x, 47 and [tex]17^{\circ}[/tex] is:
[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]
i.e.
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
Solving further:
[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]
Make x the subject
[tex]x = 47 * sin(17^{\circ})[/tex]
[tex]x = 47 * 0.2924[/tex]
[tex]x =13.7428[/tex]
[tex]x =13.7[/tex] --- approximated
Mila bought a computer with a price tag of $1,200.
After tax the total was $1,284. What was the rate of the
tax?
Answer: 7%
Step-by-step explanation:
At a local print shop, 14 copies can be made for $4. At this rate, how much would it
cost to make 63 copies?
Fill out the table of equivalent ratios until you have found the value of x.
Copies Dollars
14
4
63
2
Answer:
18 dollars
Step-by-step explanation:
63 divied by 14 = 4.5 x 4 = 18
ten to the power of 8
Answer:
000000000
Step-by-step explanation:
. At 9 am on a regular school day, there are 35 students in the library. If for every 30 minutes,
5 students will leave, but 2 students will come, at what time will there be no more students in
the library?
Answer:
360 minutes or In 6 hours.
Step-by-step explanation:
When you go swimming the pressure in your ears varies directly with the depth at which you swim. At 10 feet, the pressure is about 4.3 pounds per square inch (psi). a) Write the variation function. b) Predict the pressure at 50 feet. c) It is unsafe for amateur divers to swim where the pressure is more than 65 psi. How deep can an amateur swimmer safely swim (round to the nearest thousandth)
Answer:
(a) [tex]p = 0.43d[/tex]
(b) [tex]p = 21.5[/tex]
(c) [tex]d = 151.163[/tex]
Step-by-step explanation:
Given
Variation: Direct
Represent ear pressure with p and depth with d.
So, we have:
[tex]p\ \alpha\ d[/tex]
[tex]d =10[/tex] when [tex]p =4.3[/tex]
Solving (a): Write a variation
We have:
[tex]p\ \alpha\ d[/tex]
Write as an equation
[tex]p = kd[/tex]
Where: k is the constant of variation
[tex]d =10[/tex] when [tex]p =4.3[/tex]
So, we have:
[tex]4.3 = k * 10[/tex]
Make k the subject
[tex]k = \frac{4.3}{10}[/tex]
[tex]k = 0.43[/tex]
Substitute 0.43 for k in [tex]p = kd[/tex]
[tex]p = 0.43d[/tex]
Solving (b): Pressure at 50 feet
Substitute 50 for d in [tex]p = 0.43d[/tex]
[tex]p = 0.43 * 50[/tex]
[tex]p = 21.5[/tex]
The pressure is 21.5 pounds per square
Solving (c): The safe depth
The safe depth stops at a pressure of 65psi.
Substitute 65 for p in [tex]p = 0.43d[/tex]
[tex]65 = 0.43 * d[/tex]
Make d the subject
[tex]d = \frac{65}{0.43}[/tex]
[tex]d = 151.162790698[/tex]
[tex]d = 151.163[/tex] -- approximated
The safe distance for an amateur is 151.163ft
In which of the following triangles are AB || DE?
The photos are the options to choose from! <3
Answer:
1st triangle and 4th triangle
A line with a slope of -4 passes through the point (-6,2). Which of the following is the equation of the line?
1) y = -6x - 4
2) y = 2x - 4
3) y = 4x + 2
4) y = -4x - 22
Find the area of the octagon.
The area is _
A (3,2) y b (2,-1) pasa por los puntos
=================================
Answer:In the images is the graph of the line that passes through points A (3,2) and B (2, -1)
Also the equation of the line is y = 3x-7
Use two different applications Geogebra and Desmos
================================
RespuestaEn las imágenes está la gráfica de la recta que pasa por los puntos A(3,2) y B(2,-1)
Además, la ecuación de esa recta es y=3x-7
Use dos aplicaciones distintas Geogebra y Desmos
================================
Don’t understand how to do this can somebody explain and answer, need badly
HELP ASAP!! I need help thanks!!
Answer:
vertices
Step-by-step explanation:
I looked at stuff at it says vertices
Answer:
I think option 3rd is correct the vertices.
Step-by-step explanation:
B is joining the D and C together.
PLEASEEEEEEEEEEEE HELPPPPPPPPPP :(
will give brainliest
32,300 is 85% of what
Answer:
27455
Step-by-step explanation:
32300per of 85
is 27455
Jon has $4.68 more than his brother, Amos.
If Jon has $79.32, how much money does Amos
have?
Answer:
74.8
Step-by-step explanation:
79.32-4.68= 74.8
Answer: The answer is 74.64. Amos has $74.64. Hope I helped :)
Step-by-step explanation:
NEED THIS ASAP Solve each inequality and graph its solution
Answer:
x>22
Step-by-step explanation:
hope this helps
!!!!15 EASY POINTS!!!!
What is 8x times x?
Answer:
8x²
Step-by-step explanation:
Whenever it's multiplication, you would count how many x's there are and raise the x to the power of the number of x's.
The multiplication of 8x and x is 8x^2.
When we have to do multiplication,
We have given 8x and x.
What is the meaning of multiplication?Multiplication is defined as calculating the result of repeated additions of two numbers.
you would count how many x's there are and
Raise the x to the power of the number of x's.
and that is
[tex]=8\times x\times x[/tex]
There are two x therefore we have
[tex]=8x^2[/tex]
Therefore the multiplication of 8x and x is 8x^2.
To learn more about the multiplication visit:
https://brainly.com/question/10873737
Amy bought some shirts and skirts for $168. Each shirt cost $17, and each skirt cost $22. She
bought a total of 9 items. How many shirts did Amy buy
Answer:
3 shirts and 6 skirts
Step-by-step explanation:
lets call number of shirts x and number of skirts y
so x+y=9
17x+22y=168
multiplying the first equation by 17 we get
17x+17y=153
17x+22y=168
subtracting we get
5x= 15
x=3
and we know x+y=9 so y=6
so 3 shirts and 6 skirts
if my answer helps please mark as brainliest.
23 out of 5 of the students in my class have dark hair.
What percentage does not have dark hair?
Answer:
460%
Step-by-step explanation:
Which statement is the best definition of an angle
Answer:
In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.
Step-by-step explanation:
hurray
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by - 7x + 2y = 14?
Answer:
18
Step-by-step explanation:
to be 18 7 bitween one is the complet the neme of soit and can be instracttion
Answer:
d
Step-by-step explanation:
y+5=-2/7(x-4)
What is the equation?
Answer:
y - 4 = (1/3)(x - 9) or x - 3y = -3
Step-by-step explanation:
Here we're told that the slope is 1/3 and that (9, 4) is a point on the line. Use the point-slope formula y - k = m(x - h). Substitute 4 for k, 9 for h and 1/3 for m:
y - 4 = (1/3)(x - 9) (point-slope formula)
3y - 12 = x - 9 (standard form of the same equation) = >
-12 + 9 = x - 3y, or x - 3y = -3 (standard form)
1. Find the measure of <2
Answer:
Step-by-step explanation:
If quadrilateral is rhombus, then m∠2 = 60°
Suppose two angles of one triangle are congruent to two angles of another triangle. Using
the Triangle Sum Theorem, what could you conclude about the third angles in each
triangle? Justify your answer.
Answer:
عربيععربيعربيع ربيعربيعربيعربي
Step-by-step explanation:
When 2/3 tons of coal cost $13.50, what will in ton cost?
Answer:
20.25
Step-by-step explanation:
Divide 13.50 by 2 and then multiply by 3.
Please help will do anything thank you
Answer:
Step-by-step explanation:
a). Stock price arranged as arithmetic sequence will be,
5, 8, 11, 14
b). Since, explicit formula of an arithmetic sequence is given by,
[tex]a_n=a+(n-1)d[/tex]
Here, [tex]T_n[/tex] = nth term of the sequence
a = first term
n = number of term
d = common difference
From the table attached,
First term of the sequence 'a' = 5
Common difference 'd' = 8 - 5 = 3
Therefore, explicit formula for the given sequence will be,
[tex]a_n=5+3(n-1)[/tex]
[tex]a_n=2+3n[/tex]
c). Slope intercept form of the equation will be,
y = 3x + 2
d). Input out values for the graph of the given equation,
x 0 1 2 3
y 2 5 8 11
By using this data we can graph the line.
A restaurant gets extremely busy during lunch (11:00 A.M. to 2:00 P.M.) and is trying to decide whether it should increase the number of waitresses from two to three. What considerations would you look at to determine whether simulation should be used to make this decision?
Answer:
Step-by-step explanation:
The two main considerations that you should take into account would be each employee's wage and the number of tables that they can handle simultaneously and efficiently. This would allow you to create a simulation in order to determine if adding an extra waitress would be the best option. Adding an extra waitress would be a worthwhile decision if it divides the workload evenly so that all the waitresses have sufficient tables to handle while also not being too much, and if the extra labor is bringing in more money than it costs.
Solve the system of equations:
y=5x+3
2x+6y=50
PLSS HELP NEEDED ASAP
Please Help 15 points and brainliest for best answer thank you it's on the picture provided
Answer:
NO PICTURE
Step-by-step explanation:
Which of the following is equal to 4.8 ÷ 2?
Let's divide:
4.8 ÷ 2 = 2.4
Another option:
Shift the decimal point one space for both:
4.8 → 48
2.0 → 20
Now we can divide easily:
48 ÷ 20 = 2.4
It will give the same result.
Answer. 2.4The sum of two numbers is twenty-one. One number is nineteen less than four times the other. Find the numbers.
9514 1404 393
Answer:
8, 13
Step-by-step explanation:
The given relationships can be put into two equations. Let x and y represent the numbers.
x + y = 21 . . . . . their sum is 21
y = 4x -19 . . . . .one is 19 less than 4 times the other
__
Substituting for y in the first equation, we get ...
x + (4x -19) = 21
5x = 40 . . . . . . . . . add 19
x = 8 . . . . . . . . . . . divide by 5
y = 4(8) -19 = 13
The two numbers are 8 and 13.