Answers
Answer:
learn how to do it
Step-by-step explanation:
lol
Answer:
<J = 60.26
<L = 28.84
JL = [tex]2\sqrt{65}[/tex]
Step-by-step explanation:
One is given that triangle (JKL) is a right triangle. The measurements for the legs (JK) and (KL) are given; (8) and (14) respectively. One can use the Pythagorean theorem to solve for the unknown side, the hypotenuse. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs or sides adjacent to the right angle of the right triangle. (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute in the given values and solve for the unknown,
[tex]a^2+b^2=c^2\\\\8^2+14^2=c^2\\\\64+196=c^2\\\\260=c^2\\\\2\sqrt{65}=c[/tex]
Now one has to find the unknown angles. This can be done using the right triangle trigonometric ratios. These ratios are used to describe the relationship between the sides and an angle of a triangle. These ratios are as follows,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adajcent}[/tex]
Bear in mind that the sides are named relative to the angle one is describing it from. Thus, the name of the (opposite) and (adjacent) sides change relative to the angle of description. However, the hypotenuse is the side opposite the right angle, this side never changes its name.
Solve for (<J)
Since one has the measures of all of the sides, one can use any ratio. In this case, let's use the ratio of tangent (tan).
[tex]tan(\theta)=\frac{opposite}{adjacent}\\\\\tan(\theta)=\frac{14}{8}\\\\\theta=tan^-1(\frac{14}{8})\\\\\theta=60.256[/tex]
Solve for (<L)
The sum of angles in any triangle is (180) degrees. One can use this property here. Form an equation by adding up all of the angle measures, and solve for (<L)
(<L) + (<J) + (<K) = 180
(<L) + 60.26 + 90 = 180
(<L) + 151.16 = 180
(<L) = 28.84
Related Questions
Which expression is equivalent to (x^1/2 y^-1/4 z)^-2 ?
Answers
Answer:
[tex] {( {x}^{ \frac{1}{2} }. {y}^{ - \frac{1}{4} } .z) }^{ - 2} \\ = (x. {y}^{ - \frac{1}{2} } . {z}^{ - 2} )[/tex]
\Suppose that a person has an average heart rate of 88.6 beats/min. (Express your answers to problems in this section to the correct number of significant figures and proper units.) (a) How many beats does he or she have in 5.0 y
Answers
Answer:
He or she has 232,840,800 beats in five minutes.
Step-by-step explanation:
This question is solved by proportions.
In this question:
A year has 365 days.
Each day has 24 hours.
Each hour has 60 minutes.
Minutes in five years:
5*365*24*60 = 2,628,000 minutes.
How many beats in five minutes?
88.6 beats/min, 2,628,000 minutes. So the number of bears is:
88.6*2628000 = 232,840,800
He or she has 232,840,800 beats in five minutes.
Find the measurement of angle b.
Answers
Answer:
b = 55
Step-by-step explanation:
The two angles add to 90 degrees
b+35 = 90
Subtract 35 from each side
b +35-35 = 90-35
b = 55
Answer:
90-35=55
Answer is D
Step-by-step explanation:
As evident, the line is bisecting the right angle. One side of the bisection is given as 35. Thus by deduction:
90-35=b
90-35=55
55=b
3. TELEPHONE NUMBERS What is the probability that a 7-digit telephone number with the digits 5, 1, 6, 5, 2, 1 , and 5 is the number 550 - 5211 ?
Answers
Write about a time when you had an unexpected expense. How did you deal with the unexpected expense? What are some unexpected expenses you might face in the next five years?
Answers
Answer:
Some unexpected expenses I have had were Pet Emergencies with my dog
or Major Auto Repairs if my car gets in an accident or home repairs if my child writes on the wall or breaks a whole in it. I dealt with them by selling stuff that I dont use to pay it off. Some expenses I might face in the next 5 years would be Medical emergencies for my family just incase anything were to happen to them
Find the equation of the line with slope m=1/4 that contains the point (4,5).
Answers
Answer: x - 4y = -16
Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.
y - y₁ = m(x - x₁)The given point, (4, 5), represents (x₁, y₁).
So if we plug all our given information into the formula,
including our slope of 1/4, we get y - 5 = 1/4(x - 4).
To put our equation in standard form, first, distribute
the 1/4 through the parentheses.
So we get y - 5 = 1/4x - 1.
Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.
That gives us 4y - 20 = x - 4.
Now moves the -20 to the right side by adding 20 to both sides.
So we get 4y = x + 16.
Now subtract x from both sides to get -x + 4y = 16.
Finally, our coefficient on our x term must be positive so we
divide both sides by -1 to get x - 4y = -16.
Let V1=(1,2,-5)^T v2=((2,5,6)^T and b=(7,4,-3)^T cn be expressed as a linear combination of V1 and V2?
Answers
I assume the question is whether the vector b is a linear combination of v₁ and v₂. If it is, then that means there are scalars c₁ and c₂ such that
b = c₁ v₁ + c₂ v₂ ==> (7, 4, -3) = c₁ (1, 2, -5) + c₂ (2, 5, 6)
This gives the system of equations,
c₁ + 2c₂ = 7
2c₁ + 5c₂ = 4
-5c₁ + 6c₂ = -3
which has no solution, since
-2 (c₁ + 2c₂) + (2c₁ + 5c₂) = -2(7) + 4 ==> c₂ = -10
but substituting this into any two equations in the system gives contradictory results. For instance,
c₁ + 2c₂ = c₁ - 20 = 7 ==> c₁ = 27
2c₁ + 5c₂ = 2c₁ - 50 = 4 ==> c₁ = 27
-5c₁ + 6c₂ = -5c₁ - 60 = -3 ==> c₁ = -57/5
This means that b is not a linear combination of v₁ and v₂.
A car travels 32 km due north and
then 46 km in a direction 40° west of
north. Find the DIRECTION of the car's
resultant vector.
Answers
Answer:
Ifa,bandcare the
sides opposite to anglesA,B,&C.
By Cosine Rule,
b
2
=32
2
+46
2
−(2×32×46cos140°)
b
2
=1024+2116−2944cos140°
b
2
=3140−2944cos140°
b
2
=3140+2255.234841
b
2
=5395.234841
b=73.45
By Sine Rule,
sinC
32
=
sin140°
73.45
sinC=
73.45
32sin140°
sinC=0.2800
C=16.26°
The direction of the resultant
vector is measured from0°east
to the resultant, this angle isθ−90°,
90°is the total angle in
the first quadrant.
∴θ−90°=C+ϕ
ϕ=50°{Alternate angles are equal}
∴The direction of the car’s
resultant vector is50°+16.26°=66.26°south of east
Step-by-step explanation:
what digit could be in the ten millions place of a number that is greater than 70,000,000 but less than 100,000,000
Answers
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiii bro
My car payment is 312.67. My water bill is 12percent of the car payment. How much is the water bill
Answers
Answer:
275.15
Step-by-step explanation:
312.67 * 12% = 37.52
312.67 - 37.52 = $275.15
|-2 + 5 | - |3 - 12| - 13=
Answers
Answer:
-19
3 - 9 - 13 = -19
Step-by-step explanation:
Which calculation correctly uses prime factorization to write V48 in simplest form?
A. 48 = V2 -2 -2 -2 - 3 = 2V12
B. 48 = 14 - 12 = 2/12
C. 48 = V2 -2 -2 -2 - 3 = 4V3
D. V48 = 16 - 3 = 4V3
Answers
Answer:
C
[tex] \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} [/tex]
The prime factorization to write [tex]\sqrt{48}[/tex] in the simplest form as
48 = V2 -2 -2 -2 - 3 = 4V3
What is Prime Factorization in Math?Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.
We require to express 48 as the product of its prime factors as 48.
= 2 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 2.
Therefore, [tex]$\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}[/tex]
[tex]$=4 \sqrt{3}$[/tex]
[tex]$4 \sqrt{3}$[/tex] exists in the lowest radical form.
Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.
To learn more about Prime Factorization
https://brainly.com/question/24612438
#SPJ2
Choose the graphs that indicate equations with no solution
Answers
Answer:
A and E
Step-by-step explanation:
Given
Graphs A to E
Required
Which do not have solutions
When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.
Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.
The Pythagorean Theorem (image below)
Answers
Helpppp quiccckkkkkm
Answers
Answer:
a) G
b) C
Step-by-step explanation:
Triangle A is congruent to triangle G
Triangle D is congruent to Triangle C
Terri wants to know the value of n in the equation 7.638xn=763.8 what value for n makes the equation true?
Answers
Answer: 100
Step-by-step explanation:
Since we are given the equation 7.638 × n = 763.8 and told that Terri wants to know the value of n in the equation that will make it true. To do this goes thus:
7.638 × n = 763.8
7.638n = 763.8
Divide both side by 7.638
7.638n/7.638 = 763.8/7.638
n = 100
Therefore, n = 100 will make the equation true.
If tickets for a concert cost $9 each, how many tickets can you buy if you have $135?
Write an equation and solve by guess-and-check.
9
c. 9x = 135; 15 tickets
135, 15 tickets
a
X
b. 9 + x = 135; 15 tickets
d. 9 - x = 135: 15 tickets
Answers
Answer:
15
Step-by-step explanation:
135 divided by 9 = 15
what's nine plus ten
Answers
Answer:
21Step-by-step explanation:
2Kewl4U!but the actual answer is 19Answer:
Hi, it's 19
Step-by-step explanation:
9+10=19 or 10+9=19
Marsha deposited $10,000 into a savings account 5 years ago. The simple interest rate is 3%.
much money did Marsha earn in interest
Answers
Answer:
She earned 1500 in interest
Step-by-step explanation:
10,000 × 0.03 × 5 = 1500
Your welcome :)
In 1992, the moose population in a park was measured to be 4600. By 1998, the population was measured again to be 4240. If the population continues to change linearly
1.Find a formula for the moose population, P , in terms of t, the years since 1990.
2.What does your model predict the moose population to be in 2009?
Answers
Answer:
P(t) = - 60t + 4720
3580
Step-by-step explanation:
Given :
m = (y2 - y1)/(x2 - x1)
m = (4250 - 4600) / (8 - 2)
m = - 360 / 6
m = - 60
Using the point slope relation :
y - y1 = m(x - x1)
y - 4600 = - 60(x - 2)
y - 4600 = - 60x + 120
y - 4600 + 4600 = - 60x + 120 + 4600
y = - 60x + 4720
P(t) = - 60t + 4720
To predict population in 2009 :
2009 - 1990 = 19 years
Put t = 19
P(19) = - 60(19) + 4720
P(19) = - 1140 + 4720
P(19) = 3580
Determine whether the following statement is always, sometimes, or never true.
If two pairs of corresponding sides of two right triangles are congruent, then the triangles are
congruent.
Answers
Answer:
this statement is true because then the triangles will be congruent by rhs axiom
Anne can pack 84 boxes in 6 minutes. How many boxes can she pack per minute?
Answers
Answer:14 boxes per minute.
Step-by-step explanation:
This is a simple equation.
84/6 = 14 boxes per minute.
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
How many foreign stamps does Malik have?
Answers
Answer:
answer in picture
c, b, d
Step-by-step explanation:
Find the balance of the account earning interest compound annually.
$7000 at 4% for 2 years
Answers
9514 1404 393
Answer:
$7571.20
Step-by-step explanation:
Each year, the balance is multiplied by 1+4% = 1.04. After 2 years, the balance is ...
$7000 × 1.04 × 1.04 = $7571.20
_____
Additional comment
The repeated multiplication is usually indicated with an exponent:
$7000×1.04²
write the first ten prime numbers in the line. delete 6 digits to get the largest possible number
Answers
9514 1404 393
Answer:
7317192329
Step-by-step explanation:
The first 10 primes are ...
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
The number of interest will keep getting larger as long as the first (or next needed) digit keeps getting larger. That is, we want to delete any digit that is not greater than the one previous. Following this rule until we have deleted 6 digits, we find the largest number to be ...
7317192329
_____
The digits deleted are those in bold in the list of primes.
Answer:
7317192329Step-by-step explanation:
hope it helps
The mass of a dime is about 0.002268 kg. Which is the best estimate of the mass?
A 2 x 10-3
B 2 x 10-2
C 2 x 102
D 2 x 103
Answers
Answer:
A.
[tex] = > \: 2 \times {10}^{ - 3} [/tex]
if f(x)=3x-2 and g(x)=2x+1, find (f-g)(x)
A. x-3
B. 5x-3
C. 5x-1
D. 3-x
Answers
Answer:
A. x-3
Step-by-step explanation:
f(x)=3x-2 and g(x)=2x+1
(f-g)(x) = 3x-2 - (2x+1)
Distribute the minus sign
(f-g)(x) = 3x-2 - 2x-1
Combine like terms
= x -3
Cual es la tercera parte de la mitad de 3/4
Answers
Answer:
traducir mi respuesta al español si es necesario
1/8
Step-by-step explanation:
lets start with the basics 1/2 of 3/4 to do it we multiply the fractions
1 3 3
x
2 4 8
the answer to that problem was 3/8 if u still dont understand multiplying fractions you can look it up and put on spanish subtitles
now to find 1/3 of 3/8 we do the same thing
1 3
x
3 8
we get 3/24 we can make the number smaller by reducing it. you can look up a video on reducing
jada makes sparkiling juice by mixing 2 cups of sparkiling water with every 3 cups of aplle juice.
how much sparkiling water does jada need if she uses 15 cups of apple juice?
solve the answer with a full explanation
Answers
Answer:
10 cups
Step-by-step explanation:
we can set up a proportion of cups of water over cups of apple juice
2/3 = w/15
if you cross-multiply you will get:
3w = 30
w = 30/3
w = 10
COS I = sin 34°
What is the value of x?
Please help me or I will fail this class
