Answers
Answer:
D
Step-by-step explanation:
use the sine or cosine ratio in the right triangle.
using the sine ratio and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 2[tex]\sqrt{2}[/tex]
The value of x is 2√2.
Hence the correct option is D.
Given that a right triangle with acute angles 45° each, and hypotenuse is 4 units,
we need to find the length of the perpendicular,
In a right triangle, the length of the perpendicular (also known as the altitude) can be found using trigonometric ratios.
In this case, since we have an angle of 45°, we can use the sine or cosine function.
Let's use the sine function to find the length of the perpendicular:
sin(45°) = opposite / hypotenuse
sin(45°) = perpendicular / 4
1/√2 = perpendicular / 4
perpendicular = 4/√2
perpendicular = 2√2
Hence the value of x is 2√2.
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Related Questions
Make r the subject of t ＝6r^2 + 12t
Answers
[tex]\sf \dashrightarrow t = 6r^2 + 12t[/tex]
[tex]\sf \dashrightarrow -6r^2 = 12t-t[/tex]
[tex]\sf \dashrightarrow -6r^2 = 11t[/tex]
[tex]\sf \dashrightarrow 6r^2 = -11t[/tex]
[tex]\sf \dashrightarrow r^2 = -\dfrac{11t}{6}[/tex]
[tex]\sf \dashrightarrow r = \pm \sqrt{-\dfrac{11t}{6} }[/tex]
[tex]\dashrightarrow \sf r=\pm i\sqrt{\dfrac{11t}{6}}[/tex]
A simple random sample of 100 8th graders at a large suburban middle school indicated that 83% of them are involved with some type of after school activity. Find the 99% confidence interval that estimates the proportion of them that are involved in an after school activity. a) (0.733, 0.927) b) (0.653, 0.927) c) (0.633, 0.877) d) (0.783, 0.788) e) (0.733, 0.727) f) None of the above
Answers
Using the z-distribution, as we are working with a proportion, the 99% confidence interval is given by:
a) (0.733, 0.927).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The other parameters are p = 0.83, n = 100, hence the bounds of the interval are given as follows.
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.83 - 2.575\sqrt{\frac{0.83(0.17)}{100}} = 0.733[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.83 + 2.575\sqrt{\frac{0.83(0.17)}{100}} = 0.927[/tex]
Hence option a is correct.
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If cos Θ = -0.1, find the value of cos (Θ + 2π) + cos(Θ + 4π).
Answers
Answer:
cos(Θ + 2π) + cos(Θ + 4π) = -0.2
Step-by-step explanation:
The cosine funciton is periodic with period 2π, so we have ...
cos(Θ) = cos(Θ + 2π) = cos(Θ + 4π) = -0.1
__
The sum is ...
cos (Θ + 2π) + cos(Θ + 4π) = -0.1 +(-0.1) = -0.2
find x in the right triangle
Answers
Answer:
C. √147
Step-by-step explanation:
Set the values of the triangle up in the Pythagorean Theorem.
a² + b² = c²
x² + 7² = 14²
Take 7 and 14 to the power of 2.
x² + 49 = 196
Subtract 49 from both sides.
x² = 147
Take the square root of both sides. There will only be one answer since lengths cannot be negative.
x = √147
Answer:
C
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 7² = 14²
x² + 49 = 196 ( subtract 49 from both sides )
x² = 147 ( take square root of both sides )
x = [tex]\sqrt{147}[/tex]
1 Naomi planted 6 rows
of corn plants in her
garden. Each row had 16
plants. A hailstorm
destroyed 9 of the plants.
How many plants were
NOT destroyed by the
hailstorm?
Answers
Answer:
87 plants
Step-by-step explanation:
6 x 16 = 96 - 9 = 87
BE4.5 (LO 2), AP The ledger of Pitt Company contains the following balances: Owner's Capital $30,000, Owner's Drawings $2,000, Service Revenue $58,000, Salaries and Wages Expense $39,000, and Supplies Expense $7,000. Enter the balances in T-accounts, post the closing entries, and underline and balance the accounts. Journalize and post closing entries using the three-column form of account. T-accounts
Answers
Based on the entries given, the balances when posted in T-accounts would be:
Owner's Capital a/c
Drawings $2,000 Balance c/d $30,000
Balance b/f $40,000 Income summary $12,000
$42,000 $42,000
Service revenue a/c
Cash $58,000
Profit and loss account $58,000
$58,000 $58,000
Salaries and Wages
Cash $39,000 Income summary $39,000
$39,000 $39,000
Supplies a/c
Cash $ 7,000 Income summary $7,000
$7,000 $ 7,000
Income summary a/c
Salaries and wages $39,000 Service revenue $58,000
Supplies expense $7,000
Capital a/c $12,000
$58,000 $58,000
Journal entries will be:
Date Account title Debit Credit
Owner's capital $2,000
Drawings $2,000
Date Account title Debit Credit
Income summary $46,000
Salaries and wages expense $39,000
Supplies expense $7,000
Date Account title Debit Credit
Service revenue $58,000
Income summary $58,000
Date Account title Debit Credit
Income summary $12,000
Owner's capital $12,000
What would be the closing balances?The closing balance will close off the temporary accounts which include expense accounts such as salaries and wages, and supplies. They will be sent to the Income summary account.
The owner's capital account will receive the profit for the period and will be debited for any drawings made. Accounts should always balance as shown above.
Find out more on closing account balances at https://brainly.com/question/24914390.
choose the ratio equivalent to 10/9
Answers
30/27, 20/18...
Solution:There are infinitely many ratios equivalent to 10/9.Here are some of them:30/2720/18100/9060/54Hope it helps.
Do comment if you have any query.
PLEASE HELP
An account has $325 and earns 4.5% interest. How much will the account be worth after 5 years using simple interest. Remember, money has 2 decimal
places.
Answers
Answer:
$398.13
Step-by-step explanation:
Please Help!!! . . . .
Answers
Answer:
10) a
11) the second step wound be to solve for -5^2
can someone help me pleace for 10 points
Answers
Answer:6
Step-by-step explanation:
Look at the number 16 on the y side and then go to the dot that is on the 16 line then go all the way down and look at the number of people.
Emily waited in line for the StarCraft video game for 3 hours. If the line was only moving 2 1⁄4 feet per hour, how far did Emily move in the line?
feet
I will give you brainliest if you answer correctly
Answers
Answer:
answer is 3 9/4
Step-by-step explanation:
Trust me I am in 12th grade and make straight A;s
please say the answer step by step
2(10-4)2square+8
Answers
Step-by-step explanation: here are the steps .
2(6)²+8
2×36+8
72 +8=80
So we made 6 to the power of 2 is 36 so 36 times 2 equals 72 so 72 plus 8 equals 80 . Hope this helps buddy. Please mark brainliest
An electronics store reduced the price of a TV from $1100 to $946. What was the percent of decrease?
Answers
Answer:
14%
Step-by-step explanation:
946/1100 = 0.86
1 - 0.86 = 0.14 = 14%
Answer: 14%
Answer:
14% decrease
Step-by-step explanation:
Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100
Percentage Decrease = [ (1100 - 946) / |1100| ] × 100
Percentage Decrease = [ (154) / |1100| ] × 100
Percentage Decrease = [ 0.14] × 100
Percentage Decrease = 14
What is the image point of (-4, 2) after a translationm left 2 units and up 3 units?
Answers
Answer:
(-6,5)
Step-by-step explanation:
left 2 = x-2
up 3= y+3
Put fractions from least to greatest order. 7/16, 1/2, 3/8, 9/32,5/15, 15/32?
Answers
Answer:
9/32 , 5/15 , 3/8 , 7/16 , 15/32 , 1/2
Step-by-step explanation:
Find m RS
I NEED HELP PLS!!!!
Answers
Applying the chord theorem, since chords RS and TU are equal, then the measure of arc RS is: 106°.
What is the Chord Theorem?The chord theorem states that if two chords in a circle are equal in length, then their corresponding minor arcs will also be equal in measure.
Since chords RS = TU, therefore:
m(RS) = m(TU)
Substitute
8x - 14 = 7x + 1
8x - 7x = 14 + 1
x = 15
m(RS) = 8x - 14
Plug in the value of x
m(RS) = 8(15) - 14
m(RS) = 106°
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⭐ Question 2
What is...
three times the sum of seven plus two divided by the square root of four
Hint: Try doing seven plus two first.
Answers
using podmas rule:
P - parenthesisO - OrderD - DivisionM - MultiplicationA - AdditionS - subtraction==============
[tex]\dashrightarrow \sf 3 * (7+2) \ \div \ \sqrt{4}[/tex]
[tex]\dashrightarrow \sf 3 \ * \ 9\ \div \ \sqrt{4}[/tex]
[tex]\dashrightarrow \sf 3 \ * \ 9\ \div \ 2[/tex]
[tex]\dashrightarrow \sf 3 \ * \ 4.5[/tex]
[tex]\dashrightarrow \sf \ 13.5[/tex]
Answer:
13.5
Step-by-step explanation:
[tex]3*(7+2)/\sqrt{4}[/tex]
You use PEDMAS - priority of calculation
1) Paranthesis
2) Exponents
3) Divide or Multiple (whichever comes first, reading left to right)
4) Add or Subtract (whichever comes first, reading left to right)
so,
Parenthesis first:
[tex]7+2=9[/tex]
becomes
[tex]3*9/\sqrt{4}[/tex]
No exponents, so we skip this step
Left to right for multiply or divide: first comes multiply.
[tex]3*9 = 27[/tex]
becomes
[tex]27/\sqrt{4}[/tex]
Now, last one is divide:
[tex]27/\sqrt{4} = 27/2 = 13.5[/tex]
AB = 3(2x + 7), BC = 2x - 3, AC = 6x + 6
Answers
Answer:
^
Step-by-step explanation:
Which equation is correct?
A. cos x = 1/sin x
B. tan x = 1/csc x
C. cot x = 1/sec x
D. sec x = 1/cos x
Answers
Answer: D
Step-by-step explanation:
By definition, sec x = 1/cosx.
Answer:
B
Step-by-step explanation:
A bakery sold 224 chocolate cupcakes in a day, which was 56% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Answers
Hence, 440 cupcakes were sold on that day.
The bakery sold a total of 400 cupcakes that day, with 224 of them being chocolate cupcakes, representing 56 precent of the total.
Use the concept of percentage defined as:
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred.
Given that,
A bakery sold 224 chocolate cupcakes in a day.
The 224 chocolate cupcakes represent 56% of the total number of cupcakes sold that day.
To find the total number of cupcakes sold,
Use the percentage given and some simple math.
If 56% of the cupcakes sold were chocolate cupcakes and that amounts to 224 cupcakes,
Set up the following equation:
0.56 x Total number of cupcakes = 224 cupcakes
To find the total number of cupcakes,
Divide both sides of the equation by 0.56:
Total number of cupcakes = 224 cupcakes / 0.56
Calculating this,
The bakery sold a total of 400 cupcakes that day.
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Callie surveyed 50 people leaving the supermarket about the type of food they like. The table below shows the relative frequency
of the rows.
Does Not
Like Italian
Total
Like Italian
Like Chinese
1.00
Does Not
0.35
1.00
Like Chinese
Total
1.00
0.4
0.6
0.65
0.5
0.5
Based on this information, complete the two-way table below.
Like Italian
Does Not
Like Italian
Total
30
Like Chinese
Does Not
Like Chinese
Total
20
25
25
50
Reset
Submit
O 2022 Edmentum. All rights reserved
Answers
Answer:
left to right
12 18
13 7
Step-by-step explanation:
i got it wrong for the answer
A pair of shoes was originally priced at 100. The store owner gives a discount discount, and the shoes are now priced at 60
Answers
Answer:
i think there was a discount of 40
Step-by-step explanation:
Answer:
The answer is: 40% Off Discount
Step-by-step explanation:
$100 - $60 = 40%
Length (in) of shoe box
Answers
It is possible that a distribution of data may not actually contain one of the measures of central tendency. Which one might that be?
Question 3 options:
Range
Mode
Mean
Median
Answers
Hope this helps
Answer:
Mode
Step-by-step explanation:
PLATO users. There will always be a MEDIAN because there is always a middle number. There will always be a MEAN because you add the numbers. There will always be a RANGE because there is a high and a low number. There will sometime be no MODE if there is no reoccurring numbers.
help 10 points
and Braineist
Answers
Z + 43 = a straight line which needs to equal 180 degrees.
Z = 180 - 43 = 137
answer: z = 137 degrees
Answer:
so we know that 43 and y are congruent so y = 43.
we also know that y + x has to equal 180
so
180 - 43 = 137
so x is 137. We also know that z and x are congruent, so therefore z is 137.
Step-by-step explanation:
IMPORTANT: Jamie says that the expressions 6x-2x+4 and 4(x+1)are not equivalent because one expression has a term that is subtracted and the other does not. Do you agree? Explain.
20 pts and Brainliest!
I need an answer similar to how this answer looks:
Yes, because in the expression 2(2n-1) you will first need to multiply 2 by 2n, your result is 4n, and then you multiply 2 by 1, you get 2, so the answer will be 4n-2, as mentioned up in the problem. So yes, Chris is correct.
Answers
Answer:
The reasoning of Jamie is incorrect
Step-by-step explanation:
No, because in the expression 4(x+1) you will first need to multiply 4 by x, your result is 4x, and then you multiply 4 by 1, you get 4, so the answer will be 4x+4, as mentioned up in the problem.
Also in the expression 6x-2x+4 ,you will first need to subtract 2x from 6x, your result is 4x ,and then you add 4 , so the answer will be 4x + 4
Finally,we obtain
6x-2x+4 = 4x + 4 and 4(x+1) = 4x + 4
Conclusion:
The reasoning of Jamie is NOT correct.
Answer:
Np Jamie is wrong
Step-by-step explanation:
No, because in the phrase 4(x+1), you must first multiply 4 by x, which gives you 4x, and then multiply 4 by 1 to get 4, giving you 4x+4, also, in the phrase 6x-2x+4, you must subtract 2x from 6x to get 4x, and then add 4 to get 4x + 4x.
Our final solution is:
4(x+1) = 4x + 4 and 6x-2x+4 = 4x + 4
Which statements are true about the median? Check all that apply.
Put the values in numerical order before trying to find the median.
Median is a number that is much lower or much higher than the rest of the numbers.
The median is always greatly impacted by outliers.
The median is the number in the middle of an ordered set of values.
The median must be calculated by finding the mean of the two middle points when there is an even number of data points.
Answers
Answer:
the correct answers are: put the values in numerical order before trying to find the median
the median is the number in the middle of an ordered set of values
Step-by-step explanation:
if i am wrong, im sorry but to my knowlage these are correct.
i hope this helped<33
Answer: A D E
Step-by-step explanation:
Pasadena Candle Inc. projected sales of 58,000 candles for January. The estimated January 1 inventory is 2,900 units, and the desired January 31 inventory is 6,000 units.
Prepare a production budget report in units for Pasadena Candle Inc. For those boxes in which you must enter subtracted or negative numbers use a minus sign.
Pasadena Candle Inc.
Production Budget
For the Month Ending January 31
- Select -
- Select -
Total units available fill in the blank 5
- Select -
Total units to be produced in January fill in the blank 8
Answers
The total units that will be produced by Pasadena Candle Inc. based on the projected sales given will be 49100 units
How to calculate the units?Expected unit to be sold = 58000
Desired ending inventory = 6000
Total units available = 52000
Less: Estimated beginning inventory = 2900
Total units to be produced = 49100
In conclusion, the total units will be 49100.
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The set of second coordinates in a relation is called
Answers
What is second set of coordinate called?
The range of the relation is the set of all possible second coordinates.
Answer:
The set of first coordinates of all the ordered pairs in a relation is called the domain of that relation. Similarly the set of the second coordinates(also called as images) of all the ordered pairs in a relation is called the range of that relation.
Step-by-step explanation:
hope:)
Eric and Erica have $5.40 between the two of them. If you double the amount of money Eric has and halve the amount Erica has, then they would have the same amount of money. How much money does Eric have?
Answers
Answer:
$1.08
Step-by-step explanation:
Use a system of equations. Let x represent eric's money and y represent erica's money.
x+y=5.40
2x=1/2y
Let's solve for y in the second equation and substitute it into the first.
Double both sides.
4x=y
Substitute
x+4x=5.40
5x=5.40
Divide by 5
x=$1.08
So eric has $1.08