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?
Mathmerica Bank offers 2.1% interest compounded yearly
if you open a savings account with them and invest a
minimum of $2,500 dollars.
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
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
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
If fx) and f^-1(x) and inverse functions of each other and f(x) =2x+5, what is f^-1(8)?
PLZ HELP
Answer:
b. 3/2
Step-by-step explanation:
its literally not fair...
Answer:
I thought you were quoting danganronpa for a second ...
I hope you feel better!!
Step-by-step explanation:
Find the difference of the
two expressions.
(4/5x- 2) – (1/5x + 7)
Answer:
solution in attachment
hope it helps
what's -8x is less than or equal to 56
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
I have no idea what the problem was with
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:)
Find the surface area. Show ALL your work!
Someone please help me I’ll give out brainliest please dont answer if you don’t know
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!
Solve the equation. 3/4(x-12)=3 –12 9 16 20
Answer:
x = 16Step-by-step explanation:
³/₄(x - 12) = 3 {multiply both sides by ⁴/₃}
x - 12 = 4 {add 12 to both sides}
x = 16
Find the perimeter of the squash
Answer:
5x^2-18x -8
Step-by-step explanation:
Find the volume of the rectangular pyramid please help me guys
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
Please help only correct answers.
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
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 this relation a function?
In the similar quadrilaterals below, what is the length of ?
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
Express the height of the tower in terms of trigonometric ratios. A) 35(cos95°) B) 95(tan35°) C) 95(cot35°) D) 95(sin35°)
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°
if the mean of 12,16,22,X 28 is 19.6 find X
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 .Is 5 to the 10th power divided by 5 to the 5th power equal to 5 to the 2nd power?
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]
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.
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.
John sold 11 tickets Frank sold 50 Acres than twice the number that John sold how many tickets did Frank cell
Answer:
50
Step-by-step explanation:
only that answer please correct✌️
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
Two of the angles in a triangle measure 57° and 73°. What is the measure of the third angle?
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°
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?
Answer:
96/4= $24 dollars per person
Step-by-step explanation:
i keep getting 10.0 but its incorrect.. can someone help?
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
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
Answer:
a. Minimum: 2
b. Q1: 9/2 = 2 1/2
c. Median: 10
d. Q3: 27/2 = 13 1/2
e. Maximum: 20
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
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
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.
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.
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?
Answer:
16
Step-by-step explanation:
b2=a2-c2 (squared)
20 2 - 12 2= 16
Answer:
16
Step-by-step explanation:
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
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