In ΔIJK, the measure of ∠K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find the measure of ∠I to the nearest tenth of a degree.

Answers

Answer 1

Answer:

m∠I = 58.4°

Step-by-step explanation:

cos = adjacent side/hypotenuse

It is always helpful to have a picture.   In your case KI is adjacent to ∠I and IJ is the hypotenuse.

So cos I = KI/IJ = 4.5/8.6

     arccos (4.5/8.6) = m∠I

m∠I = 58.4°

It is necessary for you to memorize the definitions of the trig functions in order to do these types of problems.  OK?


Related Questions

what's -8x is less than or equal to 56

Answers

Answer:

x ≥ - 7

Step-by-step explanation:

Given

- 8x ≤ 56

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x ≥ - 7

2. Three states of matter exist - solid, liquid, and gas. Which of the following are the common properties of liquid?
А It has no definite shape or volume
В. It has definite shape and no definite volume,
С. It has a definite shape and has definite volume
D It has a definite volume but take the shape of the container

Answers

Answer:

I am gonna say D for this one

Answer:

A

Step-by-step explanation:

water has yet to be formed. its molecules move around like crazy so it stays a liquid.

Is 5 to the 10th power divided by 5 to the 5th power equal to 5 to the 2nd power?

Answers

Answer:

No.It is [tex]5^{5}[/tex]

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\frac{5^{10}}{5^{5}}=5^{10-5} = 5^{5}[/tex]

Express the height of the tower in terms of trigonometric ratios. A) 35(cos95°) B) 95(tan35°) C) 95(cot35°) D) 95(sin35°)

Answers

Answer:

95tan35°

Step-by-step explanation:

Find the diagram attached

Given the following

Adjacent = 95m

Opposite = height of the tower

Angle of elevation  = 35degrees

Using SOH CAH TOA

tan theta = opp/adj

Tan 35 = h/95

Cross multiply

95 * tan 35 = h

95tan35 = h

Swap

h = 95tan35

Hence then the height of the tower in terms of trigonometric ratios is 95tan35°

The Foley Products Company has designed a new blend of concrete they believe will be twice as strong as their current high quality concrete. This new blend of concrete is believed to produce batches with a population mean strength of 15,000 psi and a population standard deviation of 2,000 psi. To validate this belief, they collect a random sample of 49 concrete batches out of all the batches produced at their plant in a particular week. The mean strength of the random sample of 49 concrete batches is measured to be 14,731 psi. Select the correct description of the population in this study.

Answers

Answer:

All of the batches of the new blend of concrete made at their plant in a particular week.

Step-by-step explanation:

The population refers to all the subjects or data which which meets the condition or requirement of a certain experiment or research. This means that all the set of similar items or subjects which is of interest in a certain study is the population. In the scenario above, the population will be the set of all the new blend concrete which are made in the plant within a certain week. Thereafter, if a sample is required it will be drawn from these set of data or observation.

If fx) and f^-1(x) and inverse functions of each other and f(x) =2x+5, what is f^-1(8)?


PLZ HELP

Answers

4+5x3^2-3*tfnsnciscjsn

Answer:

b. 3/2

Step-by-step explanation:

   

In an election the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes by what margin did the successful candidate win the election.

Answers

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

Find the difference of the
two expressions.
(4/5x- 2) – (1/5x + 7)

Answers

Answer:

solution in attachment

hope it helps

i keep getting 10.0 but its incorrect.. can someone help?

Answers

Answer:

C) 2.0 cm

Step-by-step explanation:

Area of a circle is [tex]\pi[/tex] x r²

[tex]\pi[/tex] x r² = 3.14    ----> r² = 1    ----> r = 1

1 + 1 = 2

Find the volume of the rectangular pyramid please help me guys

Answers

Answer:

160 ft^3

Step-by-step explanation:

The volume formula is the same as a rectangular prism, lwh

So if we plug in the numbers, it'd be 12*4*10

Which equals 160 :))

Answer:

160

Step-by-step explanation:

v = L * W * H / 3

Find the perimeter of the squash

Answers

Answer:

5x^2-18x -8

Step-by-step explanation:

Please help only correct answers.

Answers

True
False
True
Brainliest?

I have no idea what the problem was with

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,

Answer:

120in

Step-by-step explanation:

Okay, this is going to be a long one so hang onto your hats let's go

So, we first have to find the length that each of the frogs jumped so:

We're going to start with froggy #1, the 2-inch frog:

2 x 20 = 40

So froggy #1 can jump up to 40 inches so we're going to assume that each time our froggies jump, they jump to their full extent:

40 x 3 = 120

So froggy #1 jumped 120 inches

Now, we do the same with froggy #2, the 4-inch frog:

4 x 20 = 80

80 x 3 = 240

So froggy #2 jumped 240 inches

Now, we have to figure out how far ahead froggy #2 is from froggy #1:

240 - 120 = 120

So, the two froggies will end up 120 inches apart

hope this helps:)

John sold 11 tickets Frank sold 50 Acres than twice the number that John sold how many tickets did Frank cell​

Answers

Answer:

50

Step-by-step explanation:

only that answer please correct✌️

In this diagram, ABAC – AEDF. If the area of ABAC = 24 in2, what is the area of AEDF? D À E 2 in F В 4 in С Area AEDF = [?] in2 please I need help

Answers

Answer: 6

Step-by-step explanation:

The area of the triangle EDF is 6 in².

What are similar triangles?

Two triangles are said to be similar if their corresponding angles are congruent, and their corresponding sides are in equal ratios.

Given that, two triangles are similar, ABC and EDF,

We know that, the area of two similar triangles implies that if two triangles are similar to each other, the ratio of their areas will be proportional to the square of their corresponding side ratios.

Therefore,

ar(ΔABC)/ar(ΔEDF) = (2/4)²

24/ar(ΔEDF) = 1/4

ar(ΔEDF) = 6

Hence, the area of the triangle EDF is 6 in².

Learn more about similar triangles, click;

https://brainly.com/question/14926756

#SPJ7

Ava and her three friends went out for lunch. Their total bill was $96. If each person paid the same amount, how much would each person pay?

Answers

Answer:

96/4= $24 dollars per person

Step-by-step explanation:

Which of the following identifying information is contained in a credit report?

A. Height and weight
B. Driver’s license number
C. Employment history
D. All of the above

Answers

C. Employment History
I believe all of the above or b. hope this helps!

if the mean of 12,16,22,X 28 is 19.6 find X

Answers

Answer:

20

Step-by-step explanation:

A data is given and the mean of data is 19.6 .The data is ,

12 , 16 , 22 , x , 28 .

We know that the mean is sum of observations divided by Total number of observations . So that ,

⇒ 12 + 16 + 22 + x + 28/ 5 = 19.6

⇒ 78+x/5 = 19.6

⇒ 19.6 × 5 = 78 + x

⇒ 78 + x = 98

⇒ x = 98 - 78

⇒ x = 20

Hence the value of x is 20 .

Mathmerica Bank offers 2.1% interest compounded yearly
if you open a savings account with them and invest a
minimum of $2,500 dollars.

Answers

Answer:

Total = 2,500 (1.021)^t

Step-by-step explanation:

There is no question but the formula for compound interest is

Total = amount (1 + rate)^time

Total = 2,500 (1.021)^t

Two of the angles in a triangle measure 57° and 73°. What is the measure of the third angle?

Answers

Answer:

The third angle is 50°

Step-by-step explanation:

In a triangle, all the angles must add up to 180° such that:

[tex]180= a+b+c[/tex]  where a , b, and c are all angles

Since we know that two of the angles are 57° and 73°, we can subtract them from 180° to find the third angle.

Using the above equation, we can rearrange it to solve for the missing value:

180°= a + b + c

180°=57°+ 73° +c                          Substitute the angles in for any 2 variables

180°- 57°-73°= c                    Rearrange the equation to solve for last variable

50°= c

The third angle is 50°


its literally not fair...

Answers

Answer:

I thought you were quoting danganronpa for a second ...

I hope you feel better!!

Step-by-step explanation:

This is really funny joke!

What is the equation of the line containing the points (3, 1), (9,3), and (27, 9)?
A. y = x3
B. y= 3x
C. y = 1/3x

Answers

Answer:

C = 1/3(x)

Step-by-step explanation:

Here, we want to get the equation of the line that contains the given points

From what we have , we can see that when the x-values are divided by 3, we get the y-values

thus, the equation that links the two variables is that;

y = 1/3x

The length of the diagonal of a television screen is 20 inches and the height of the screen is 12
inches.
Which of the following is the width of the television screen?

Answers

Answer:

16

Step-by-step explanation:

b2=a2-c2 (squared)

20 2 - 12 2= 16

Answer:

16

Step-by-step explanation:

Find the surface area. Show ALL your work!

Answers

Just do the formula for area and you’ll get it :)

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer=0.4
Explanation

Answer:

Step-by-step explanation:

Ok, so remember your order of operations here.

Also, Remember that what we do to one side, we must do to the other side.

We cant solve whats in the parentheses, so that wont come first. The next best thing is the multipication of 0.8 in front of it:

0.8x(2x-4)

=

1.6x-3.2

Now lets rewrite the equation as:

1.6x-3.2=16

Now lets simply solve the rest:

1.6x=19.2

All I did is add 3.2 to both sides so I could get 1.6x on its own.

What is left is just dividing 1.6x to get 1x:

1.6x/1.6=19.2/1.6

This gets us:

x=12

This is because we divided 1.6 from both sides so that 1.6x became just x.

Answer:

12

Hope this helps!

Is this relation a function?

Answers

Yes the relation is a function

In the similar quadrilaterals below, what is the length of ?

Answers

Answer:

10 cm

Step-by-step explanation:

In the first quad, AD is 8 cm and in the second, it is 4 cm

4 x 2 = 8

so do 5 x 2 to get AB

10

PLEASE HELP! WILL GIVE BRAINEST!! FOR MY MATH EXAM. please answer the whole question. only a few sentences are needed thanks.
Jordan asked some of his classmates their favorite numbers from 1-20. The numbers he found are below.
6, 10, 4, 12, 20, 5, 3, 12, 10, 2, 18, 15
Find the:
a. Minimum

b. Q1

c. Median

d. Q3

e. Maximum

Answers

Answer:

a. Minimum: 2

b. Q1: 9/2 = 2 1/2

c. Median: 10

d. Q3: 27/2 = 13 1/2

e. Maximum: 20

Solve the equation. 3/4(x-12)=3 –12 9 16 20

Answers

Answer:

         x = 16

Step-by-step explanation:

³/₄(x - 12) = 3        {multiply both sides by ⁴/₃}

x - 12 = 4             {add 12 to both sides}

 x = 16

There are five loaves of bread shared among a group of teachers each teacher has 1/5 of his or her share how many teachers had an equal amount of share

Answers

Answer:

25

Step-by-step explanation:

number of teachers that got an equal amount = total loves of bread ÷ fraction the bread is shared

5 ÷ 1/5

5 x 5 = 25

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