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
Helpppp chile. I’m stuck sidnfifnfig vkfniffnf
Answers
Step-by-step explanation:
12*4 - 2*2
48 - 4
44 ft of carpet.
What is missing from the graph?
HELP I WILL GIVE BRAINIEST
Answers
Answer:
I think the title is missing from the graph
Answer:
Y-intercept maybe? since the given function doesn't have a point where x = 0
Or it could also be the x and y-axis are not labeled
I'm so sorry if this is wrong but i hope this helps!
pls answer i need the answer
1 ticket
2 tickets
3 tickets
4 tickets
Answers
Answer:
3
Step-by-step explanation:
Answer:
2 tickets
Step-by-step explanation:
a + c = 5
9a + 4c = 30
let a = 5-c
substitute:
9(5-c) + 4c = 30
45 - 9c + 4c = 30
45 - 5c = 30
-5c = -15
c = 3
a = 2
In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.
Answers
Answer:
19.7°
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.
We make use of sine rule
TU/sin V = UV/sin U
9.8/sin 90 = 3.3/sin U
Cross Multiply
sin 90 × 3.3 = 9.8 × sin U
sin U = sin 90 × 3.3 /9.8
U = arc sin ( sin 90 × 3.3/9.8)
U = 19.7°
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
Answers
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.
Answers
Answer:
1.73 units
Step-by-step explanation:
The area of a triangle with sides a, b, c and angles A, B, C is given as
Area = 1/2 bc sin A
Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area
= 1/2 * 4 * 1 * sin 120
= 2 sin 120
= 2 * √3/2
= √3
= 1.732
To the nearest hundredth = 1.73
Q12.
Which relation is a function?
A
{(-1, 3), (-2, 6), (0, 0), (-2, -2)}
B
{(-2, -2), (0, 0), (1, 1), (2, -2)}
C
{(7, 4), (8, 8), (10, 8), (10, 10)}
D
{(4, 0), (4, 1), (4, 2), (4, 3)}
Answers
Solve -17 = for x. x =
Answers
Answer:
-17
Step-by-step explanation:
The volume of a triangular prism is 42 cubic centimeters. What is
the volume of a similar prism that is twice as large as the first
prism?
A. 21 cm
C. 168 cm
B. 84 cm
D. 336 cm
Answers
Answer:
B
Step-by-step explanation:
It's needing to be doubled in size. That should be it hope it helps
Work out the area of this circle. Take pi to be 3.142 and give your answer to 1 decimal place radius is 4cm
Answers
Given pi = 3.142 and r = 4
Plug in the values
Area = 3.142 * 4^2
Area = 3.142 * 16 = 50.272
Round to nearest 1 decimal place
Solution: 50.3 cm^2
Find the value of x.l
Answers
Answer:
The value of x is 28°
Step-by-step explanation:
2x + 1 and 33° together forms 90° angle.
So, we need to find the angle at the 2x + 1.
--> 90° - 33°
= 57°
So, 2x + 1 gives 57°.
So, to find x :-
2x + 1 = 57°
2x = 57 - 1
2x = 56
x = [tex]\frac{56}{2}[/tex]
x = 28
PLEASE HELP WITH THIS
Answers
Answer:
a.2b.area of one triangular faces =9m²
2×9m²18m²PLZ HELP I MAKE YOU BRAINILY!!!!!
Answers
Answer:
755.3
Step-by-step explanation:
The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.
The rectangle's volume is length*width*height. The length is 6, the width is 14, and the height is 6. Therefore, the volume is 6*6*14, which is 504 in.
Now all you have to do is add the two volumes together. 80pi is around 251.3, so 251.3 + 504 = 755.3.
Answer:
I think the answer is B: 755.3^3.
Step-by-step explanation:
Don't hate me if I'm wrong please!!!
To find the volume of multiple figures, just find the volume of each of them and add them together.
Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504
Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2
504 + 251.2 = 755.2
Since this is the closest answer, the answer is B: 755.3^3.
Please mark me as brainliest!!!!!
Evaluate f(-2): SHOW ALL WORK
f(x) = x - 4
Answers
Answer:
-6
Step-by-step explanation:
substitute x=-2
f(-2)=(-2)-4=-6
Answer:
- 6
Step-by-step explanation:
f(x) = x - 4
f( - 2) = - 2 - 4 = - 6
solve the equation for y
1/2y - 21/4 = -35/4
Answers
Answer:
[tex]1/2y - 21/4 = -35/4[/tex]
[tex]1/2y = 21/4 -35/4[/tex]
[tex]1/2y = - 7/4[/tex]
[tex]y = - \frac{7}{2} [/tex]
What is the end behavior of the function f(x)=8x^5-3x^3 +8x+5
Answers
Answer:
x → +∞, y → +∞
x → -∞, y → -∞
Step-by-step explanation:
The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.
Negative coefficient and odd degree (x → +∞, y → -∞) (x → -∞, y → +∞).Negative coefficient and even degree (x → +∞, y → -∞) (x → -∞, y → -∞).Positive coefficient and odd degree (x → +∞, y → +∞) (x → -∞, y → -∞).Positive coefficient and even degree (x → +∞, y → +∞) (x → -∞, y → +∞).One experiment had 10 players spinning, another experiment had 100 players spinning. Which experiment is more likely to come closer to matching its theoretical probability.
Answers
Answer: Experiment with 100 players sprinting
Step-by-step explanation:
When it comes to experiments using samples to find out the effect of a variable on an entire population by finding out the representative effect on the sample, the larger the size of the sample, the better.
A larger sample comes closer to being the actual size of the population so when this larger sample is experimented upon, the results it gives will be closer to the results that would be gotten if we experimented on the entire population. The 100 player sprinting experiment would therefore come closer to matching its theoretical probability.
Use cosine law to find the value of x. Show working. use ^ for power and sqrt for square root
Answers
Answer:
x ≈ 11.89
Step-by-step explanation:
Using the cosine rule
x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )
= 16 + 81 - 72cos128°
= 97 - (- 44.33 )
= 141.33 ( take the square root of both sides )
x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )
PLEASE HELP THANK YOU BRANLIEST IS PROVIDED
Answers
Answer:
Solution given;
area of semi circle=½πr²=1/2×3.14×4²=25.12in²
area of rectangle ABCD=l×b=8×13=104in²
area of rectangle CEFI=l×b=3×6=18in²
Total area =25.12+104+18=147.12in²
Area of circle
πr²π(7+6-5/2)²π(8/2)²16π25.12in²Area of centre rectangle
8(13)104in²Area of right rectangle
3(6)18in²Total
18+104+25.12122+25.12147.12in²ello i need help -^-
Answers
Answer:
d =90 e=52 f=52
Step-by-step explanation:
The angle that are crosppsinding have equal angle.
like f=e.
in which of the expression below does n=3 ? select all that apply.
Answers
Answer:
B and C
if n=3 then 5ⁿ=5³=5×5×5=125
n³=3³=3×3×3=27
hope it helps :)
What is the perimeter of triangle PQR.
5 units
10 units
√5+3 √2units
2 √5 + √10 units
Answers
Answer:
Opps i am really sorry i donot know it
Answer:
Step-by-step explanation:
It's 5 units
Find the area of the trapezoid shown below
Answers
Answer:
A=a+b
2h
Step-by-step explanation:
Please help
Extra hundred points and brainleist
Answers
Answer:
A
Step-by-step explanation:
It is A. The problem asks for the interval when the marlin's height is always increasing. Therefore, you want to look at the left half of the parabola, as the line is going into the peak. The right half is declining. The peak is at around 2 (on the x-axis), so you know that the ending interval number has to be 2. The marlin's height begins to go up starting at 0, so the interval is 0 <= x <= 2. Any number past two is a declining height, and the increase starts at 0.
Classify the following polynomials by degree and number of terms.
1. 4p3 + 2p2 + 19p - 5
Answers
Given:
The polynomial is:
[tex]4p^3+2p^2+19p-5[/tex]
To find:
The degree and number of terms.
Solution:
Degree of a polynomial: It is the highest power of the variable.
Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".
We have,
[tex]4p^3+2p^2+19p-5[/tex]
In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.
The given polynomial can be written as:
[tex]4p^3+2p^2+19p+(-5)[/tex]
So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].
Therefore, the degree of the given polynomial is 3 and the number of terms is 4.
The classification by degree and number of terms of degree 3 and 4 terms
Degree of polynomialGiven the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.
The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3Also, the given polynomial contains 4 terms.
In conclusion, the classification by degree and number of terms of degree 3 and 4 terms
Learn more on degree of polynomial here: https://brainly.com/question/25538519
Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2
Answers
I don’t understand it help and add a explanation for me pls :}
Answers
cuantos kilometros tiene tokyo
Answers
Answer:
90 km
Step-by-step explanation:
Please help me with my work
Answers
Answer:
If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
Step-by-step explanation:
Answer:
Down below is the answer.
Step-by-step explanation:
So, lets remember that the pythagreon theorm is only useable in right traingles.
The formula for the pythagreons theorm is A^2+B^2=C^2
So basically, if this is not a right triangle, the two sides(4ft^2 and 3ft^2) will be equivelent to 5ft^2.
Lets solve the pythagroens theorm and plug in our values:
4^2+3^2=5^2
Now lets use the square roots:
16+9=25
COmbine the two numbers:
25=25
This is correct!
So yes, this is a right triangle.
HOpe this helps! :)
The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6
Answers
============================================================
Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
*Use the distributive property.
(3m^4)^2 = 3^2 * (m^4 * m^2) = 9m^8