Answers
Answer:
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
Step-by-step explanation:
A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:
Angle E
[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]
[tex]E \approx 34.093^{\circ}[/tex]
Angle F
[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]
[tex]F \approx 106.068^{\circ}[/tex]
Angle G
[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]
[tex]G \approx 39.838^{\circ}[/tex]
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
Related Questions
a cylindrical jar of jam has a diameter of 6cm and a height of 8 cm. if the jar is 70% full of jam how many cubic centimeters of jam are in the jar? Please answer correctly
Answers
Answer: 158.26cm³
Step-by-step explanation:
First, we.need to calculate the volume of the cylinder and this will be:
Volume = πr²h
Volume = 3.14 × 3² × 8
Volume = 3.14 × 9 × 8
Volume = 226.08cm³
Since the jar is 70% full, the volume will be:
= 70% × 226.08cm³
= 0.7 × 226.08cm³
= 158.26cm³
Note:
Radius = Diameter/2 = 6cm/2 = 3cm
Find an expression which represents the difference when (6x + 3) is subtracted
from (8x+ 6) in simplest terms.
Answers
Answer:
14x - 9x = 5x
Step-by-step explanation:
8x + 6 = 14x
6x + 3 = 9x
A square piece of sheet metal is to be used to make a stop sign. each side of the sheet metal is 50cm long. A triangle will be cut off each corner, leaving a regular octagon. which pair of equations can be used to calculate the length of each side of the octagon
Answers
Answer:
L = a √( 4 + 2√2)
Step-by-step explanation:
L = a √( 4 + 2√2) is the equation which can be used to calculate the length of each side of the octagon. In the equation i.e. L = a √( 4 + 2√2), in which ''a'' is the length of each side of the octagon. So by putting of ''a'' we get the length of each side of the octagon. The octagon is regular means all of its sides and angles are congruent or similar to each other. Each angle in the octagon has a measure of 135 degrees.
which statement best compares the volumes of the two rectangular prisms
Answers
Answer:
The volume of prism A is the same as the volume of prism B.
Step-by-step explanation:
Given
See attachment for prisms
Required
Compare the volume of both
First, we calculate the volume of both prisms.
Prism A is a rectangular prism.
So, its volume is:
[tex]V_A = Length * Base * Height[/tex]
Where
[tex]Length \to a[/tex]
[tex]Base \to b[/tex]
[tex]Height \to h[/tex]
So:
[tex]V_A = abh[/tex]
For Prism B, we have:
[tex]Volume = Base\ Area * Height[/tex]
Where
[tex]Base\ Area = Length * Base[/tex]
and
[tex]Length = a[/tex]
[tex]Base = b[/tex]
So:
[tex]Base\ Area = a * b[/tex]
[tex]Base\ Area = a b[/tex]
The volume is then calculated as:
[tex]Volume = Base\ Area * Height[/tex]
[tex]V_B = ab * Height[/tex]
Where
[tex]Height \to h[/tex]
So:
[tex]V_B = ab * h[/tex]
[tex]V_B = abh[/tex]
By comparison:
[tex]V_A = V_B = abh[/tex]
Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to an auto repair shop and paid $455, which included parts that cost $310 and 2.5 hours of labor. Which correctly compares the cost of the labor?
Answers
Answer:
Option A, Shannon paid $ 7 per hour to labor than Joni
Step-by-step explanation:
Total amount paid by Shannon = $339.50
Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)
Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5
Total cost of 1 hours of labor paid by Shannon $65 per hour
Total amount paid by Joni = $455
Total cost of 2.5 hours of labor paid by Joni = $455- $$310
Total cost of 1 hours of labor paid by Joni = $145/2.5
Total cost of 1 hours of labor paid by Joni = $ 58
Hence, Shannon paid $ 7 per hour to labor than Joni
Option A is correct
Which angles are supplementary angles?
Answers
Answer:
<RSQ and <WVX
Step-by-step explanation:
suplementary angles are 2 angles who's measures add to 180
Sue has 18 sweets
Tony also has 18 sweets.
Sue gives Tony x sweets
Sue eats 5 of her sweets.
Tony eats half of his sweets.
Writ expressions of sweets Tony and sue now have
Answers
Answer:Find out the expressions for the number of sweets sue and tony have now .
To proof
As given
Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets
thus
sue sweets = 18 - x
Tony sweets = 18 + x
As given
Sue then eats 5 sweets. Tony then eats half of his sweets
sue sweets becomes = 18 -5 -x
= 13 - x
Hence proved
Step-by-step explanation:
Who can help me with this
Answers
Answer:
Vertical
Step-by-step explanation:
Hope it helps you in your learning process
Pls solve I will give the barinliest answer plssss
Answers
well we know the line will be equal to 180 degrees so we will have an equation like this
x+100+3x=120
we subtract 100 from 180 to get 80.
180-100=80
however x cannot be 80 bc we still have the 3x.
when you do the math, you will see that 20 times 3 is 60.
20×3=60
going even further we see that 60 plus 20 is 80
60+20=80
so to check our work, lets solve this equation
20+100+3×20=180
20+100=120
3×20=60
120+60=180
so your answer is x=20
what is the answer?
1/4
7/20
5/11
1/2
Answers
Step-by-step explanation:
it's a 1/4 sjjsjsjsjsjsj
how do you do this please
Answers
Answer:
Step-by-step explanation:
3). Adjacent
B). Cosine
What is the image point of (8, 4) after a translation left 2 units and down 4 units?
Answers
Answer:
(6, 0 )
Step-by-step explanation:
A translation to the left means subtract 2 from the x- coordinate
A translation down means subtract 4 from the y- coordinate
Then
(8, 4 ) → (8 - 2, 4 - 4 ) → (6, 0 )
1) A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip
back took 16 hours. What is the speed of the boat in still water? What is the speed of the
current?
A) boat: 13 mph, current: 4 mph B) boat: 30 mph, current: 2 mph
C) boat: 45 mph, current: 1 mph D) boat: 20 mph, current: 4 mph
Answers
Answer:B
I think we are in the same class lol
Step-by-step explanation:448 divided by 14= 32
448 divided by 16= 28
B=speed of boat in water
Y= Speed of current
B+y=32
B-y=28
32 + 28 =60
60 divided by 2 = 30
32 -30 =2
B=30
Y=2
Add my discord if you need more help Snapple#0141
A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.
How to find the speed of an object?If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units time, then that object's speed is
[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
A boat traveled 448 miles downstream and back.
The trip downstream took 14 hours. The trip back took 16 hours.
[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
Speed of downstream
448/ 14= 32
Speed of back stream
448 / 16= 28
B = Speed of boat in the water
Y = Speed of current
The system of equation
B + y = 32
B - y = 28
32 + 28 =60
60 / 2 = 30
So,
32 - 30 =2
B = 30
Y = 2
Learn more about motion in stream here:
https://brainly.com/question/14297576
#SPJ2
Elli painted two fourths of the fence. Nolan painted three eighths of the fence. How much of the fence did they paint
Answers
Answer:
7/8.
Step-by-step explanation:
What you need to do, is that you need to add 2/4 to 3/8. And then you get, 7/8!
Answer: 7/8
Step-by-step explanation:
This makes no sense some please help
Answers
Answer:
3x
Step-by-step explanation:
What you know
This is an equilateral triangle
the x's are all the same
you could write x + x + x = 3x = 16
Multiplying is just adding repeatedly
Answer:16 = 3x
Step-by-step explanation:
Perimeter = Sides surrounding a figure
The triangle has 3 sides, each named "x".
Thus, because the perimeter is equivalent to 16 inches, 3x = 16.
4x-3 + 3x2 + 2x + 1
what’s the answer and is it a polynomial
Answers
using substitution
x+3y=3
3y-2x=12
Answers
Step-by-step explanation:
Given :-
x + 3y = 3 3y - 2x = 12And we need to solve the equation using Substituting method . So on taking the first equation ,
[tex]\rm\implies x + 3y = 3 \\\\\rm\implies x = 3 - 3y [/tex]
Put this value in (ii) :-
[tex]\rm\implies 3y - 2x = 12 \\\\\rm\implies 3y - 2(3-3y)=12\\\\\rm\implies 3y -6-6y = 12 \\\\\rm\implies -3y = 18 \\\\\rm\implies y = -6 [/tex]
Put this Value in (I) :-
[tex]\\\\\rm\implies x = 3-3*-6 \\\\\rm\implies x = 3+18 \\\\\rm\implies x = 21 [/tex]
Hence the Value of x is 21 and y is (-6) .
Answer:
x = -3
y = 2
Step-by-step explanation:
Ok this is a long one but bear with me lol, i promise i will make it easy to understand, performing one step at a time.
So we are given 2 equations right? We can take any of these one equation and isolate any one variable, either x or y, I will take the first equation and isolate x from it cuz it's the easiest way;
=> x + 3y = 3
=> x = -3y + 3 (Let's pretend this is not an equation for x but a "value")
Now that we have the x isolated from first equation, we can substitute x "value" in for the x in second equation. To solve for y;
=> 3y - 2 (-3y + 3) = 12
=> 3y + 6y - 6 = 12
=> 9y - 6 = 12
=> 9y = 12 + 6
=> 9y = 18
=> y = 18/9
=> y = 2
At this point we are almost done with the question! So since we got a real value for one of our variable (which in this case is y-value), we can substitute that in any of the given equation, We can also use the equation where in we isolated "x", so I'll use that cuz it's gonna require less steps, to find the real x-value:
=> The equation we found out up there is: x = -3y + 3
=> Now just simply substitute the y-value we figured in the equation above:
=> x = -3y + 3
=> x = -3(2) + 3
=> x = -6 + 3
=> x = -3
Ayee we did it lol so the final answer would be:
x = -3
y = 2
I really hope this made sense, and that it helps!
solve for the value of w
Answers
Answer:
w= 8
Step-by-step explanation:
180-90= 90
(5w + 1) + (7w- 7) = 90
solve
w= 8
Find the area of each sector. Round your answers to the nearest tenth.
A) 8.9 in
C) 4.7 in
B) 117.3 in
D) 7.1 in
Answers
Solve: Jackson earns $16 per hour. His expenses are $532 per month. Which
expression shows how much money he has left after his expenses? *
532x - 6
532x + 16
16x - 532
16x + 532
Answers
Answer:He works 40 hours each week at a rate of $16 per hour.
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
C
Step-by-step explanation:
Answer:
It is weak
Step-by-step explanation:
It is weak, so that means the answer is C. It is weak because it is
Please help me! DO NOT SEND LINK!
Answers
To find this, just multiply 8 and 5.
Area: length times width
Area: 8 times 5
Area: 40 cm
The perimeter of the rectangle is 26 cm.
Perimeter: 2L + 2W
Perimeter: 2(8) + 2(5)
Perimeter: 16 + 10
Perimeter: 26
Hope this helps!
Answer:
Area is 40
perimeter is 26
Step-by-step explanation:
area = l×w
[tex]8 \times 5 = 40[/tex]
Perimeter = 2L +2W
[tex]2 \times 8 + 2 \times 5 \\ 16 + 10 \\ 26[/tex]
PLEASE HELP!!! WILL GIVE BRAINLIEST!!
Which of these numbers is expressed properly in scientific notation?
Answers
Answer:
A
Step-by-step explanation:
Answer:
[tex]A. \ \ 1.3527 \times10^6[/tex]
Step-by-step explanation:
A square has a side length of 5 cm. What is the perimeter of the square?
A. 10 cm
B. 15 cm
C. 20 cm
D. 25 cm
Answers
The perimeter of the square of side 5 cm is 20 cm
What is the perimeter of square of side 5 cm?The perimeter of a square is calculated with the formula:
Perimeter = 4 * length of side
length of the side = 5 cm
Perimeter = 4 * 5 cm
Perimeter = 20 cm
Therefore, the perimeter of the square is 20 cm
Learn more about perimeter of a square at: https://brainly.com/question/1385742
By definition of perimeter, the correct answer is option C. the perimeter of the square is 20 cm.
Definition of perimeterThe perimeter of a two-dimensional figure is the distance around the figure. That is, the perimeter of a flat geometric figure is called the length of its contour.
So, the perimeter is the measurement obtained as a result of the sum of the sides of a flat geometric figure. So to calculate the perimeter of a figure it is necessary to know two basic variables:
The number of sides of the figure.The length of each of those sides.Perimeter of a squareA square is a flat geometric figure that has four equal sides, so the expression to calculate the perimeter of a square is:
Perimeter= 4× length of the sides
This caseIn this case, a square has a side length of 5 cm. So, the perimeter of the square is calculated as:
Perimeter= 4× 5 cm
Solving:
Perimeter= 20 cm
Finally, the correct answer is option C. the perimeter of the square is 20 cm.
Learn more about the perimeter:
https://brainly.com/question/15267339
https://brainly.com/question/660488
https://brainly.com/question/25092270
https://brainly.com/question/11957651
https://brainly.com/question/16500964
PLEASE ANSWER IN SCIENTIFIC NOTATION WITH STEPS PLEASE DUE BY 10:15 AM
Answers
Answer:
[tex]a) 3.6011*10^4 \ \\ b) 8.289786223^-11[/tex]
Step-by-step explanation:
Well, I hope it helps you heh
PLEASE NO FILES OR LINKS
Answers
Answer: 16
Step-by-step explanation:
Answer:
It should be 16
Step-by-step explanation:at the you would take the 8 because that tells you half the length of the side then at the bottom there is also the other half of the line
Which function is represented by the graph below?
graph begins in the second quadrant near the x-axis and increases slowly while crossing the ordered pair 3, 1. Then the graph begins to increase quickly throughout the graph
(5 points)
f(x) = 3x
f(x) = 3x − 3
f(x) = 3x + 3
f(x) = 3(x − 3)
Answers
What is the value of 2 cubed plus 5 squared
Answers
Answer:
33 is the answer
NEED HELP ASAP
THIS IS DUE TODAY
Answers
En la tienda de electrónica Se vende un televisor en 15480 pesos pero tendrá un descuento del 35% de su precio entonces cuánto costará el televisor y con el descuento
Answers
Respuesta:
Monto descontado = 5,418pesos
Nuevo precio de la televisión = 10.062 pesos
Explicación paso a paso:
Costo inicial de televisión = 15,480 pesos
Porcentaje de descuento = 35%
Cantidad descontada = 35% de 15,480
Cantidad descontada = 0.35 * 15,480
Monto descontado = 5,418pesos
Nuevo precio de la televisión = 15.480 - 5.418
Nuevo precio de la televisión = 10.062 pesos