What is the length of JK, to the nearest tenth of a millimeter?

Answers

Answer 1

5 = side a
3 = side c
angle B = 62 degrees
JK is side b
Use the Law of Cosines to find the length of side b.
b^2 = a^2 + c^2 − 2ac cos(B)
b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)
b^2 = (25 + 9) − 30 x 0.469
b^2 = 34 - 30 x 0.469
b^2 = 34 - 14.084
b^2 = 19.916
b = √19.916
b = 4.463
Rounded to the nearest tenth is 4.5 mm.

Hope this helps!

Answer 2

The length of JK to the nearest tenth is; 4.5 mm

What is the Length of a side of the triangle?

From the given triangle, we see the following parameters;

JL = 3 mm

KL = 5 mm

angle JLK = 62 °

Use the Law of Cosines, we can find the length of JK as;

|JK| = √(3² + 5² − 2(3 * 5) cos62°)

|JK| = √(34 - 14.084)

|JK| = 19.916

|JK| = √19.916

|JK| = 4.463

Approximating to the nearest tenth; JK = 4.5 mm

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Related Questions

Michelle works at a store that sells clothing accessories. The supply function for baseball caps is P=Q-6, where P is the price and Q is the quantity of baseball caps. If Michelle sells the baseball caps for $19 apiece, how many baseball caps will the store make?
A. 31 baseball caps
B. 6 baseball caps
C. 19 baseball caps
D. 25 baseball caps

Answers

All you have to do is substitute the price with P because P is the price.

19 = Q - 6

You'll add 6 on both sides.

25 = Q

So the answer choice D is the right answer.

Answer:

Step-by-step explanation:

Given : The supply function for baseball caps is P=Q-6, where P is the price and Q is the quantity of baseball caps.

To Find: If Michelle sells the baseball caps for $19 apiece, how many baseball caps will the store make?

Solution:

The supply function for baseball caps is P=Q-6

where P is the price

Q is the quantity of baseball caps.

Now we are given that Michelle sells the baseball caps for $19 a piece.

So, P = 19

Substitute the value in the function:

19=Q-6

19+6=Q

25 =Q

Thus If Michelle sells the baseball caps for $19 apiece, the store make will make 25 baseball caps .

Olivia just graduated with an Associates degree and is working as a secretary in a firm earning 9.75 an hour.Her contract stipulates that she will get an annual rasie of 6% until she reaches the rate of $15.50 an hour. sheshow long would it take for Olivia to earn $15.50 an hour? math

Answers

Answer: In about 8 years, she will reach the rate of $15.50

This is an exponential equation. We could write and solve the equation below to find the answer.

9.75(1.06)^x = 15.5

(1.06)^x = 15.5/9.75 Divide both sides by 9.75

x (log(1.06)) = log(15.5/9.75) Take the log of both sides and bring down the x.

x = log(15.5/9.75) / log(1.06) Divide both sides by log(1.06)

x = 7.956

Therefore, we can round it up to 8 years.

Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip?

A. $3.42
B. $25.08
C. $28.50
D. $31.92

Answers

D because all of the other answers are less than or equal to the bill so $31.92 is the only logical one.

the total cost of food plus the tip is 31.92

What is the length of each edge of a cube if its surface area is 486 square units?

81 units
18 units
9 units
3 units

Answers

Answer:

the correct answer is 18 i hope this helps you

The length of each edge of a cube with a total surface area of 486 square units is 9 units, obtained by dividing the total surface area by 6 to get the area of one face and then taking the square root.

To find the length of each edge of a cube when you have the total surface area, you need to understand that a cube has 6 faces that are all squares of the same size. Since the total surface area of the cube is given as 486 square units, we can find the area of one face by dividing the total surface area by 6. Once we have the area of one face, we can find the length of one edge by taking the square root of that area because the area of a square is equal to the length of one side squared (Area = side x side).

Let's calculate:

Total surface area of the cube = 486 square unitsArea of one face = 486 / 6 = 81 square unitsLength of one edge = [tex]\\(\sqrt{81})[/tex] = 9 units

Therefore, the length of each edge of the cube is 9 units.

A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.

Answers

3.14 x 9^2 x 14/3 = 1186.92

4/3 x 3.14 x 9^3 = 1526.04

1186.92 + 1526.04 = 2712.96 = 2713 cubic inches

Answer: V = 2712.94 cubic inches.

Step-by-step explanation: The prop is formed with two objects: cone and half of a sphere. To calculate the volume, find the volume of the cone and the half-sphere and add them together.

Volume of Cone:

V₁ = [tex]\frac{1}{3}.B.h[/tex]

B is area of the base

h is height

Since the cone has its base as a circle, the volume will be:

V₁ = [tex]\frac{1}{3}[/tex].π.[tex]r^{2}[/tex].h

V₁ = [tex]\frac{1}{3}[/tex] . 3.14 . [tex]9^{2}[/tex] . 14

V₁ = 1186.9 cubic inches

Volume of Half-Sphere:

V₂ = [tex]\frac{2}{3}[/tex].π.[tex]r^{3}[/tex]

V₂ = [tex]\frac{2}{3}[/tex] . 3.14 . [tex]9^{3}[/tex]

V₂ = 1526.04 cubic inches

Total Volume:

V = V₁ + V₂

V = 1186.9 + 1526.04

V = 2712.94 cubic inches

The volume of the prop is V = 2712.94 cubic inches

Does the point (3,7) lie on inside or outside the circle

Answers

IM GUESSING OUTSIDE THE CIRCLE

if there was a picture or something it would help a lot but I'm gonna wing it and say inside the circle

You invest 1000 in an account at 2.5% per year simple interest how much will you hav in your account at the beginning of the 4th year round your answer to the nearest whole dollar

Answers

notice, that, at the beginning of the 4th year, you're only getting interest for the previous 3 years, since the fourth year is just starting and hasn't accumulated any interest yet,

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$1000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\to &0.025\\ t=years\to &3 \end{cases} \\\\\\ A=1000(1+0.025\cdot 3)\implies A=1000(1.075)[/tex]

Find the average value gave of the function g on the given interval. g(x) = 6 3 x , [1, 8]

Answers

g(×)=63×,[1,8]

9×9=81×63×5,103×[1,8]=9,[18]54

The average rate of change of the function over the interval is 3

Finding the average rate of change

From the question, we have the following parameters that can be used in our computation:

f(x) = 6 + 3x

The interval is given as

From x = 1 to x = 8

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(1) = 6 + 3(1) = 9

f(8) = 6 + 3(8) = 30

Next, we have

Rate = (30 - 9)/(8 - 1)

Evaluate

Rate = 3

Hence, the rate is 3

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Question

Find the average value gave of the function g on the given interval. g(x) = 6 + 3x , [1, 8]

1. Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?

2. Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?

3. Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?

Answers

1) The opposite angles of a inscribed quadrilateral are supplementary.

3x - 12 + x = 180
4x - 12 = 180
4x = 192
x = 48

Now we know the value of x we can substitute it for x in the expression of angle B.

3(48) - 12 = 132

Angle B is 132°

2) The opposite angle of an inscribed quadrilateral are supplementary. So first we will find the value of x.

28 + x = 180
x = 152

The value of x is 152 so we can substitute this in for x in the expression of angle A.

152 - 36 = 116

So angle A is 116°

3) To find the measure of angle C we will first find the value of x.

3x + 9 + 2x - 4 = 180
5x + 5 = 180
5x = 175
x = 35

Now we can find the value of angle A an then subtract it by 180 for angle C.

2(35) + 3 = 73

180 - 73 = Angle C
107 = Angle C

Which of the following are independent pairs of events? Check all that apply.
A.Flipping two coins and having one show a head and the other show a head
B.Being sneezed on and catching a cold
C.When rolling a pair of dice, getting a total of 6 and having one die show a 3
D.Rolling a 4 on one die and rolling a 2 on another die
E.Seeing clouds and winning the lottery,

Answers

The best answer for these question would be:

A. Flipping two coins and having one show a head and the other show a head

D. Rolling a 4 on one die and rolling a 2 on another die

E. Seeing clouds and winning the lottery

Independent events in math means that the first situation does not affect the other variable. It is generally the individual probability that will happen to the solution. Which means that you have to determine whether the first situation will be affected on the second events that will happen. While the dependent events, have the opposite effect.

The sum of three consecutive integers is -96. What is the larger integer

Answers

Let the first integer be x. Since the three integers are consecutive, the next two integers will be x + 1 and x + 2, respectively. Collectively the integers add to equal -96. That means you can set our expressions for the integers to -96, like so:

-96 = x + (x + 1) + (x + 2)

Now we can solve algebraically for x.

-96 = x + (x + 1) + (x + 2)
-96 = x + x + 1 + x + 2
-96 = 3x + 3
-99 = 3x
-33 = x

The first integer is x, so the first integer is -33.
The second integer is x + 1, so the second integer is -32.
The third integer is x + 2, so the third integer is -31.

Let's quickly add these integers to see if their sum is -96.

-33 + (-32) + (-31)
-33 - 32 - 31 = -96

These three consecutive integers add to equal -96. The question asks for the larger integer. Recall that the higher the number in front of a negative sign, the smaller the number. -2 is smaller than -1. That means the order of the integers from largest to smallest is -31, -32, -33.

Answer:
The largest integer is -31.

helpppppppppppppppppppp

Answers

For this case we evaluate the function when x = 0
We then have to evaluate:
y = 3cosx + 3
y = 3cos0 + 3
y = 3 + 3
y = 6
Then, for x = pi
y = 3cosx + 3
y = 3cospi + 3
y = -3 + 3
y = 0
Answer:
y = 3cosx + 3
option 2

The sum of 555 consecutive integers is 505505505.
What is the third number in this sequence?

Answers

the correct question is
The sum of 5 consecutive integers is 505. What is the third number in this sequence?
Let
x-----------> first integer
x+1-----------> second integer
x+2-----------> third integer
x+3-----------> fourth integer
x+4-----------> fifth integer
we know that
x+(x+1)+(x+2)+(x+3)+(x+4)=505
then
5x+10=505----------> x=(505-10)/5---------> x=99
therefore
the third integer is (x+2)------> 99+2=101

the answer is 101

when using the binomial formula which of the following is the correct step in the expansion of (x+y)^4

Answers

Final answer:

The correct step in the expansion of (x+y)^4 is to determine the coefficients for each term using the binomial formula.

Explanation:

The correct step in the expansion of (x+y)^4 using the binomial formula is to determine the coefficients for each term.

In this case, the coefficients can be found using the formula n choose k, where n is the exponent (4) and k is the power of either x or y in each term.

For example, the term with x^3*y would have a coefficient of 4 choose 3, which is equal to 4.

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A cookie recipie states for every 3 cups of flour, 1 1/2 teaspoons of vanilla are needed.How many teaspoons are needed for 5 cups of flour?

Answers

[tex]\text {3 cups of flour : } 1\dfrac{1}{2} \text{ teaspoons of vanilla}[/tex]

----------------------------------------------------------
Find 1 cup
----------------------------------------------------------
[tex]\text {1 cups of flour : } 1\dfrac{1}{2} \div 3 \text{ teaspoons of vanilla}[/tex]

[tex]\text {1 cups of flour : } \dfrac{3}{2} \times \dfrac{1}{3} \text{ teaspoons of vanilla}[/tex]

[tex]\text {1 cups of flour : } \dfrac{1}{2} \text{ teaspoons of vanilla}[/tex]

----------------------------------------------------------
Find 5 cups
----------------------------------------------------------
[tex]\text {1 cups of flour : } \dfrac{1}{2} \text{ teaspoons of vanilla}[/tex]

[tex]\text {5 cups of flour : } \dfrac{1}{2} \times 5 \text{ teaspoons of vanilla}[/tex]

[tex]\text {5 cups of flour : } \dfrac{5}{2} \text{ teaspoons of vanilla}[/tex]

[tex]\text {5 cups of flour : } 2\dfrac{1}{2} \text{ teaspoons of vanilla}[/tex]

----------------------------------------------------------
[tex]\bf \text {Answer : } 2\dfrac{1}{2} \text{ teaspoons of vanilla}[/tex]
----------------------------------------------------------

The true conditional statement, "If 5x+7=2x-1 then 3x+7=-1," illustrates which property of equality?
A.Addition
B.Subtraction
C.Multiplication
D.Division
Will Give Medal And Be Fan For Answer!,

Answers

The difference between the two inequalities involves subtracting the value of 2x from both sides, so this illustrates the subtraction property of equality.

The square of nine less than a number is three less than the number. What is the number ?

Answers

Let n represent the number.
.. (n -9)^2 = n -3 . . . . . the square of 9 less than the number is 3 less than the number
.. n^2 -18n +81 = n -3
.. n^2 -19n +84 = 0
.. (n -7)(n -12) = 0
.. n = 7 or 12

The number could be 7 or 12.

_____
Check:
.. (7 -9)^2 = (-2)^2 = 4 = 7 -3 . . . . answer checks OK
.. (12 -9)^2 = 3^2 = 9 = 12 -3 . . . . answer checks OK

Final answer:

The original problem is translated into a quadratic equation. By following the process of expanding, moving all terms to one side and solving the resulting equation yield the overall possible solutions x = 4 or x = 1.

Explanation:

The question is asking to solve for a number based on a given condition. In this case, let's symbolize this unknown number with x. The problem can be written as an algebraic equation which is (x-9)^2 = x-3. You solve it first by expanding the equation, then move all terms to one side of the equation, to get a quadratic equation. Then, solve the quadratic equation to get the possible values of x. If you follow these steps, you will find that the possible solutions for this equation are x = 4 or x = 1.

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PLEASE HELP ASAP!!
means a lot!!

Answers

The correct answer is:
[tex]B) \: y + 1 = \frac{4}{3} (x - 9)[/tex]

The solution to 5 times 1 will be what kind of number

Answers

That would be a prime number

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers

It would be a Prime number

The dimensions in inches of a shipping box can be expressed as width x, length x+1, and height x-4. The volume is 84ft sq. Find the dimensions of the box in feet.

1,1,4
2,2,21
2,6,7
3,4,7

Answers

The volume of a box is (width)(length)(height).
V = W*L*H
Plug in all the information we have:
84 ft^3 (incorrectly written as ft sq in the question)
84 ft^3 = (x)(x+1)(x-4) = (x)(x^2-3x-4) = x^3 - 3x^2 - 4x.
Next, think of the factors of 84. 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
The value is x = 6.
(6)(6+1)(6-4) = (6)(7)(2) = 84

Answer:

(1 pt) ~2,6,7~

Step-by-step explanation:

Find the area and thhe circumference of a circle round your anser to the nearest hundredth if the diameter is 6

Answers

----------------------------------------------------------------------------------------------
Find Radius
----------------------------------------------------------------------------------------------
Radius = Diameter ÷ 2
Radius = 6 ÷ 2
Radius = 3 units

----------------------------------------------------------------------------------------------
Find Area
----------------------------------------------------------------------------------------------
Area = πr²
Area = π (3)²
Area = 28.27 units² (Nearest hundredth)

----------------------------------------------------------------------------------------------
Find Circumference
----------------------------------------------------------------------------------------------
Circumference = πD
Circumference = π(6)
Circumference = 18.85 units (Nearest hundredth)

----------------------------------------------------------------------------------------------
Answer: Area = 28.27 units² ; Circumference = 18.85 units
----------------------------------------------------------------------------------------------

A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and select a second sock at random. What is the probability that the first sock is blue and the second sock is red?

Answers

The probability that the first sock is blue and the second sock is red is:
(3/10) * (4/10)=3/25.

Answer:

[tex]\texttt{Probability}=\frac{3}{25} [/tex]

Step-by-step explanation:

Probability is the ratio of number of favorable outcome to total number of outcomes.

Total number of socks = 4 + 3 + 3 = 10

Number of blue socks = 3

Number of red sock = 4

[tex]\texttt{Probability of selecting blue sock}=\frac{3}{10} \\ [/tex]

[tex]\texttt{Probability of selecting red sock}=\frac{4}{10} \\ [/tex]

For finding the combined probability we need to multiply both the values

[tex]\texttt{Probability that the first sock is blue and the second sock is red}=\frac{3}{10}\times \frac{4}{10}=\frac{12}{100}=\frac{3}{25} \\ [/tex]

[tex]\texttt{Probability}=\frac{3}{25} [/tex]

a company invest 15000 in an account that compounds interest annually after 2 years the account is worth 160099.44. use the function which R is the annual interest rate p is the principal and A is the amount of money after T years ...what is the interest rate of the account

Answers

Hey there :)

We all know the formula of simple interest
I = prt { You can take a look at the picture attached to see what each stands for }

Given are initial amount invested → $15000
period of time → 2 years
Amount after 2 years → $16099.44

I = Amount as final - Initial
= $1099.44

We need to find the interest
1099.44 = 15000( 2 ) r
1099.44 = 30000r
[tex] \frac{1099.44}{30000}= \frac{30000r}{30000} [/tex]
r = 0.036648

Rate as percentage = 0.036648 x 100 = 3.6648%

The interest rate of the account is 3.6648%

Which composition of transformations would map LMNO to L''M'N''O''? RM,90° ◦ RN',180° RM,180° ◦ RN',90° rw ◦ RM,180° RM,180° ◦ rw

please help i really need it!
will mark brainliest and if good with geometry please add me and help ! :) Thanks!

Answers

the answer is c since the problem given is not multiple choice - hope this helps

Answer:

The answer is C: rw ◦ RM,180°

Step-by-step explanation:

I had this question on edge

Name at least one advantage of credit cards

Answers

You can pay back stores later (or the bank)

Which ordered pair could be removed so that the resulting graph represents a function

Answers

The relation is double-valued for x=1. Removing either of those values will make the relation a function.
.. (1, -2)
or
.. (1, 3)

Answer:

One of this ordered pairs: [tex]\left ( 1,3 \right )\,,\,\left (1 ,-2 \right )[/tex] should be removed

Step-by-step explanation:

A relation f is said to be a function if for each and every element of it's domain there exists a unique image in it's codomain.

As per the graph, ordered pairs are [tex]\left ( 1,3 \right )\,,\,\left ( 2,1 \right )\,,\,\left ( -2,2 \right )\,,\,\left (1 ,-2 \right )\,,\,\left ( 5,-4 \right )\,,\,\left ( -4,-4 \right )\,,\,\left ( -5,-3 \right )[/tex]

Here, all the ordered pairs have unique image except [tex]\left ( 1,3 \right )\,,\,\left (1 ,-2 \right )[/tex]

Here , element 1 of domain has two images 3 and - 2 .

We know that as per definition for each and every element of the domain there should be a unique image in the codomain.

So, one of this ordered pairs: [tex]\left ( 1,3 \right )\,,\,\left (1 ,-2 \right )[/tex] should be removed in order to make it a function.

please anyone help me

A show is on friday,saturday and sunday
2/5 of the total ticlets are for the saturday show.
240 tickets are sold for the saturday show.
three times as many tickets are sold for the sunday show as for the friday show
How many tickets are sold for the sunday show?

Answers

Hey There!!!!

The Answer Is > 240 x 3 = 720 so 720 is your answer!!

Please Mark Me Brainliest :) :) Annierosehodge (: (:

720 tickets would be you’re answer

can anyone help?....

Answers

The answer two this question is C.

You can get this answer by multiplying the two polynomials and then simplifying. See the steps below:
(4x^2 - 5)(x + 3) ---> Now multiply the two parenthesis.
4x^3 - 5x + 12x^2 - 15 ---> Arrange the numbers by decreasing exponents.
4x^3 + 12x^2 - 5x - 15

No simplifying can be done since there are no like terms.

Answer: [tex] fg(x)=4x^3+12x^2-5x-15[/tex]

Step-by-step explanation:

Given: [tex]f(x)=4x^2-5\text{ and } g(x)=x+3[/tex]

We know that for any function f(x) and g(x), the multiplication function (fg) (x) is given by :-

[tex]fg(x)=f(x)g(x)[/tex]

Now, for the given functions, we have

[tex]fg(x)=(4x^2-5)(x+3)\\\\\Rightarrow\ fg(x)=4x^2(x+3)-5(x+3)\\\\\Rightarrow\ fg(x)=4x^3+12x^2-5x-15[/tex]

given that cos 42° ~0.743 what is the sine of the complementary angle

Answers

check the picture below, notice that is just an example relating the cosine and sine values in a right-triangle of the complementary angles.

so if the cos(42°) is "whatever", the sin(90° - 42°) is then, well, you know already.

1) What is the solution to x - 5 = 27?

Answers

x - 5 = 27

Isolate the x, add 5 to both sides (because of equal sign)

x - 5 = 27
x - 5 (+5) = 27 (+5)
x = 27 + 5
x = 32

x = 32 is your answer

hope this helps

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