In ΔJKL, j = 10 in., k = 7 in., and l = 6.58 in. Find m∠J.
A. 38º
B. 95º
C. 44º
D. 25º
Answers
Answer:
B. 95°
Step-by-step explanation:
Given the three sides of a triangle, the Law of Cosines can be used to find any of the angles.
__
j² = k² +l² -2kl·cos(J) . . . . . law of cosines applied to this triangle
J = arccos((k² +l² -k²)/(2kl)) . . . . . solve for angle J
J = arccos((7² +6.58² -10²)/(2·7·6.58)) = arccos(-7.7036/92.12)
J ≈ 94.797° ≈ 95°
The measure of angle J is about 95°.
_____
Additional comment
Angle J is opposite side j, which is the longest side. That means angle J is the largest angle in the triangle. The largest angle of the triangle can never be less than 60°. Only one answer choice qualifies. (No computation is necessary.)
Related Questions
If f (x) = startroot one-half x minus 10 endroot 3, which inequality can be used to find the domain of f(x)?
Answers
Because it is a cubic root, the argument can be positive and negative, so the domain is the set of all real numbers.
How to find the domain of our function?
Here we have the function:
[tex]f(x) = \sqrt[3]{\frac{1}{2}*x - 10}[/tex]
Now, if this is a cubic root (as I understand what you wrote) then we can use any value of x inside of that function, because the degree is odd.
Is not the case of the square root, where the argument must only be positive.
With that in mind, we conclude that the domain is the set of all real numbers.
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Answer: C
Step-by-step explanation:
Edge 2023
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION !!
3 √5 + 15 √5
Answers
Answer:
18√5 or Decimal Form: 40.24922359…
Step-by-step explanation:
The circumference of the target above is 6,575.16 mm. What is the diameter of the target? Use = 3.14.
Answers
So, 6,575.16/3.14 exactly is 2094.
d=2094
Find the area of a circular sector in cm² with angle 15° if the length of the intercepted arc is pi/2 cm
Answers
Answer:
0.52cm2
Step-by-step explanation:
l of Arc =tita/360×2πr
15/360×2×22/7×2
diring the repair the mechanics will need to connect a cable between chairs b and j, and then continue that cable to chair g. what is the anhle formed by the cable
Answers
The angle that will be formed by the cable based on the information given will be 15°.
How to calculate the angle?From the complete information, it's important to divide the total angle by 12. This will be:
= 360°/12 = 30°
Then, the relations that will be used will be:
= 1/2(60° - 30°)
= 1/2 × 30°
= 15°
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A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation 23 + 6,2 - 27x= 140 can be used to find x. Height: (x+9) in. Width: (2 - 3) in Length: xin. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer. O The length is 7 inches, the width is 4 inches, and the height is 16 inches. O The length is 5 inches, the width is 2 inches, and the height is 14 inches. O The length is 4 inches, the width is 1 inch, and the height is 13 inches. O The length is 3 inches, the width is O inches, and the height is 12 inches.
Answers
For this case we have the following equation for the volume:
[tex]x^3+6x^2-27x=140 < br/ >[/tex]
Rewriting the equation we have:
[tex]x^3+6x^2-27x=140=0 < br/ >[/tex]
We factor the equation to find the roots of the polynomial.
We have then:
[tex](x-5)(x+4)(x+7)=0 < br/ >[/tex]
Then, we discard the negative roots, because the dimensions of the figure must be positive.
We have then that the length is:
[tex]x=5 < br/ >[/tex]
The height is:
[tex]x+9=5+9=14 < br/ >[/tex]
The width is:
[tex]x-3=5-3=2 < br/ >[/tex]
Thus, the dimensions are:
[tex]5*14*2 < br/ >[/tex]
Answer:
The length is 5 inches, the width is 2 inches, and the height is 14 inches.
1. The first bus stop on a bus route is 4 miles from school. How
many yards is the first bus stop from school?
2040 yards
Answers
Please help me out! Need this done ASAP!
Answers
Answer:
a. power of a point
b. CE = 4.6
Step-by-step explanation:
a. the power of a point theorem states that BE*BC = BA*BD
b. using the equation above, find CE:
BE * 10 = 3 * 18
BE = 5.4
CE = BC - BE = 10-5.4 = 4.6
Can you please help me at
a=3/5 b=4/5 c=?
Answers
Answer:
a=3/5 , b=4/5. ,.
c=5/5
c=5/5
=1
James is given the diagram below and asked to prove that ZD ZF. What
would be the missing step of the proof?
Given: DE = FE, and Eo forms the angle bisector of ZDEF.
Prove: ZD ZF
E
D
o
Reasons
Given
Statements
1. DEFE, EO forms the angle
bisctor of ZDEF
2.
3. EO EO
4. ADEO AFEO
5. ZD ZF
Definition of an angle bisector
Reflexive Property of Equality
SAS Congruency Theorem
Corresponding parts of congruent
triangles are congruent
O A. ZEDO ZEDO
O B. ZEDO: ZEFO
O C. ZDEO = ZFEO
O D. ZEOF ZEOD
Answers
Answer:
C, ∠DEO ≅ ∠FEO
Step-by-step explanation:
The bisector EO bisects the angle ∠DEF, an interior angle of ΔDEF.
This means the angle is divided into 2 equal angles.
⇒ ∠DEO ≅ ∠FEO
What is the percentage of 20 from 400?
Answers
(20/400)×100
5%
hope it helps...!!!
Answer:5%
Step-by-step explanation:
40 is 10% so then you half that which is 20=5%
7. algebra sara allen is interested in buying a notebook
computer. if she buys the computer this week, she will
save $150.00 while it is marked down 16%. if she buys the
computer next week, she will pay the regular selling price.
what is the regular selling price?
Answers
A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the selling price of the computer notebook be represented by x.
Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.
Also, the saving she made by buying this week will be $150, therefore, we can write,
x-0.84x = $150
0.16x = $150
x = 937.5
Hence, the regular selling price of the computer notebook will be $937.5.
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The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
Answers
The true statement about the right rectangular prisms include:
The angles in the smaller prism measure 90 degrees.The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.How to illustrate the prism?It should be noted that a prism simply means a shape that has two identical shapes that face each other.
Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.
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the number of ducks living at the pond increased by 40%
Answers
I need help with part 2 on this question (Screenshot)
Answers
Hope this helps.
Determine the period.
Acellus
Answers
Explanation:
One root (aka x intercept) is at x = 0
The next root over isn't clear, but luckily we can skip over it and see the next root after that is x = 5
After this point, the curve repeats itself. This means the period is 5 units.
The graph repeats itself every 5 units, aka the cycle is 5 time units long.
X=-3
A. 64
B. 8
C. 4
D. 16
Answers
Answer:
The answer is A.
Step-by-step explanation:
I took the test
Which one of these numbers is a composite number a.17 b.51 c.97 d.89
Answers
Step-by-step explanation:
The correct answer here is 51
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Which one of these numbers is a composite number: 17, 51, 97, or 89?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Composite numbers are divisible by 3 or more numbers.
17 is divisible by 1 and 17 only, so it's not composite.
51 is divisible by 1, 51, 3, and 17, so it's composite.
97 and 89 are divisible by two numbers only, so they are not composite.
So we conclude that the answer is
51
Good luck with your studies.[tex]\rule{300}{1}[/tex]
A survey asked 200 Grade 4 students about their reading preferences. Based on Graph #1, about how many of them would you expect prefer comic books?
I aded the graph
Answers
Answer:
D. 80
Step-by-step explanation:
The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.
200 × .375 = 75
75 rounded to the nearest tens value is 80
Find the volume of the pyramid to the nearest cubic unit. Use a calculator.
64 m^3
96 m^3
192 m^3
256 m^3
Answers
Answer: 64 m^3
Step-by-step explanation:
V=1/3*a^2*h
V = 1/3*64*3
V=64 m^3
Answer:
64 m³
Step-by-step explanation:
Formula
[tex]\textsf{Volume of a square based pyramid}=\dfrac{1}{3}a^2h[/tex]
where:
a = side lengthh = perpendicular heightGiven:
a = 8 mh = 3 mSubstituting the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Volume}& =\dfrac{1}{3} \cdot 8^2 \cdot 3\\\\& = \dfrac{3}{3} \cdot 64\\\\& = 1 \cdot 64\\\\& = 64\:\sf m^3\end{aligned}[/tex]
The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?
Answers
At a park, the logging trail is a circle with a radius of 200 meters. how far is it around the trail? use 3.14 or pi. show your work
Answers
Answer:
400π
Decimal Form:
1256.63706143
Explanation: To find the around the trail, you'll use the circumference formula.
2πr
2 x 3.14 x 200
Which fraction is equal to 0.370 (with the line over 370)
A. 37/100
B. 370/999
C. 37/99
D. 37/9
Answers
This is the answer 37/99 = 0.37
=========================================================
Explanation:
Let x = 0.370370370...
The "370" block repeats forever, due to the horizontal bar up top.
Multiply both sides by 1000 so that the decimal point moves three spots to the right.
x = 0.370370370...
1000x = 1000*0.370370370...
1000x = 370.370370370...
Then notice both x and 1000x involve the *exact* same decimal string of "370" repeating forever. This perfect match lets us cancel the decimal portions out when we subtract, and allows us to isolate x to get some fraction of integers.
1000x - x = 370.370370370... - 0.370370370...
999x = 370
x = 370/999
You can use your calculator to confirm that 370/999 = 0.370370370...
----------------
In fact, you can use your calculator to determine the following:
A) 37/100 = 0.37
B) 370/999 = 0.370370370...
C) 37/99 = 0.373737...
D) 37/9 = 4.1111111....
This allows us to see fairly quickly that choice B is the final answer and that we can rule out the others.
----------------
Side note: your calculator may round the last digit by mistake.
Given that P(A or B) = 13, P(A)= 14, and P(A and B) = 18…. find P(B)
struggling with this could use some help + work explination, i havent been to class in weeks!
Answers
The value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Here is the formula for the probability of an exclusive event:-
[tex]P(AUB)=P(A)+P(B)-P(A\cap B)[/tex]
[tex]13=14+P(B)-18[/tex]
[tex]P(B)=17[/tex]
hence the value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.
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It takes 10 people 15 hours to prepare the gym for the school dance. How many hours would it take 12 people to prepare the gym?
Answers
Answer
18 hours
Step-by-step explanation:
if 10 people spend 15 hours
one person spend 15/10=1.5
so 1.5 × 12=18hours
Tickets to the play cost $5.00 for adults and $3.00 for kids. The play sold 20 tickets for a total of $76. How many kids and adults attended the play?
Answers
The number of adults =16 and the number of kids =4
Is it possible to draw a triangle with side
lengths 6, 3, and 5?
Answers
Yes..
Add 2 sides together and if it’s larger than the 3rd side it’s possible
6 + 3 = 9, which is larger than 5
3 + 5 =8 which is larger than 6
6 + 5 = 11 which is larger than 3
Answer:
YESStep-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
so
6+3=9
6+5=11
3+5=8
yes it is possible
6a-2y>4
Solve inequality for y
Answers
y < -2 +3a
Isolate the variable by dividing each side by factors that don't contain the variable.
PLEASE HELP! 20 POINTS!! PIC ATTACHED :)
Answers
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
Which statements can be used to compare the characteristics of the functions? select two options. f(x) has an all negative domain. g(x) has the greatest maximum value. all three functions share the same range. h(x) has a range of all negative numbers. all three functions share the same domain.
Answers
The statements that can be used to compare the characteristics of the functions are:
g(x) has the maximum greatest value.h(x) has a range of all negative numbers.How to interpret the functions?From the table of values (see attachment), we have the following highlights:
f(x) has a range of all positive numbers.h(x) has a range of all negative numbers.g(x) has the maximum greatest value.The above highlights mean that, the true statements are b and d
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Answer:Its B,D
Step-by-step explanation: Yes
