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.

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°

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°

Answer:

5x^2-18x -8

Step-by-step explanation:

Answer:

b. 3/2

Step-by-step explanation:

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.

Answer:

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

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.

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

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

Answer: 6

Step-by-step explanation:

The area of the triangle EDF is 6 in².

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

Answer:

96/4= $24 dollars per person

Step-by-step explanation:

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

Answer:

50

Step-by-step explanation:

only that answer please correct✌️

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

Answer:

16

Step-by-step explanation:

b2=a2-c2 (squared)

20 2 - 12 2= 16

Answer:

16

Step-by-step explanation:

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

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

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!

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

Answer:

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

I hope you feel better!!

Step-by-step explanation:

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:)

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.

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

Answer:

a. Minimum: 2

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

c. Median: 10

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

e. Maximum: 20

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]

Answer:

solution in attachment

hope it helps