Answer:
4.92
Step-by-step explanation:
Answer: 4.92
Step-by-step explanation:
To round a three decimal integer like 4.922, you look at the trailing digit or last decimal (2) in this case.
Then determine if greater or less than 5. If greater or equal to 5, remove last digit 2 and then add 1 to the number before (2) or 2nd decimals place.
So we have 4.922 with last decimals being 2.
Therefore, we do not add and keep last decimals before the same.
Answer is 4.92
Find the area of ΔABC.
A)21.93
B) 37.20
C) 29.77
D) 18.6
Answer:
Option D is correct
Step-by-step explanation:
First, let's find side BC by using Pythagoras theorem.
Given:
Hypotenuse = 9 unitsSide 1: 7.8 unitsSide 2: BC=> 9² = 7.8² + x²
=> 81 = 60.84 + BC²
=> BC² = 20.16
=> √BC² = √20.16
=> BC = √20.16
=> BC = 4.48998886413 (Using calculator)
=> BC ≈ 4.49 (Estimated)
Therefore, side BC ≈ 4.49 units. Now, let's find the area by using hero's formula.
=> 1/2(Perimeter) = S
=> Perimeter: Hypotenuse + Side 1 + Side 2
=> 7.8 + 9 + 4.49
=> 21.29 = Perimeter
=> 1/2(21.29) = S
=> 10.645 = S
=> √s(s - a)(s - b)(s - c) = Area of triangle
=> √10.645(10.645 - 9)(10.645 - 4.49)(10.645 - 7.8)
=> √10.645(1.645)(6.155)(2.845)
=> √10.645 x 1.645 x 6.155 x 2.845
=> √306.635120999 (Using calculator)
=> √306.64 (Estimated)
=> 17.5111393119 (Using Calculator)
=> 17.51 units² (Estimated)
We can see that option D is the closest option. Therefore, Option D is correct.
If Option D was incorrect, then my second opinion is A.
If both are wrong, I deeply apologize for the inconvenience caused by me. Hoped this helped.
Answer:
answer is d) 18.6
Step-by-step explanation:
area = 1/2ab sin ∅
a= 9
b = 7.8
so it's
1/2 ×7.8 × 9 sin 32
use your calculator to get 18.600 unit squared
*we can also use the heroes formula*...
Barbara has some dimes and quarters. If she has 16 coins worth a total of $2.50, how many of each type of coin does she have?
Answer:
10 dimes and 6 quarters.
Step-by-step explanation:
2.50-25-25=2.00-10 dimes = 1.00-4 0.25=0
so
10 dimes and 6 quarters.
Answer:
10 Dimes and 6 Quarters.
Step-by-step explanation:
Important info:
16 Coins
Total = $2.50
Note:
Dimes = 0.10 Cents
Quarters = 0.25 Cents
Question to answer:
How many of each type of coin does she have?
Solution:
10 Dimes = $1.00
6 Quarters = $1.50
$1.00+$1.50 = $2.50
Therefore 10 Dimes and 6 Quarters = $2.50 and = 16 Coin.
HELP IVE BEEN STUCK ON THE SAME QUESTION NOBODY WILL HELP ME I CANT CALM DOWN HELP ME
Hello! :p
[tex]\sqrt{-8}[/tex] = [tex]2i\sqrt{2}[/tex]
[tex]\sqrt{-36}[/tex] = [tex]6i[/tex]
[tex]\sqrt{-5}[/tex] = [tex]i\sqrt{5}[/tex]
I hope you do well on your assignment! I also hope this helps! :)
Mackenzie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75. Write and solve an equation which can be used to determine x, the cost of the labor per hour.
Answer:
x=65
Step-by-step explanation:
Based on the given conditions, formulate: 157+3.75 X x=400.75
Rearrange unknown terms and Calculate the sum:
3.75x = 400.75 - 157
3.75x = 243.75
x=243.75 / 3.75
x=65
The cost of labour per hour is $65.
Given that, the technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75.
We need to write and solve an equation which can be used to determine x, the cost of the labour per hour.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Now, according to question 157+3.75×x=400.75
⇒3.75x=400.75-157
⇒3.75x=243.75
⇒x=243.75/3.75
⇒x=65
Therefore, the cost of labour per hour is $65.
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Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below. 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7 What is the mean of the data set rounded to the nearest tenth? 4. 0 shirts 4. 1 shirts 4. 5 shirts 4. 9 shirts.
Using it's formula, it is found that the mean of the data set is of 4.1 shirts.
The mean of a data-set is the sum of all observations divided by the number of observations.In this problem, the 12 observations are: 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7
Hence:
[tex]M = \frac{3 + 4 + 8 + 5 + 2 + 5 + 0 + 5 + 3 + 4 + 3 + 7}{12} = 4.1[/tex]
The mean of the data set is of 4.1 shirts.
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How much money is saved by buying a baker’s dozen instead of 13 individual rolls?
Number of rolls
6
8
Baker’s dozen
Price ($)
$3.60
$4.80
$7.20
Answer:
0.60
Step-by-step explanation:
If you purchase 6 rolls, you pay $3.60
Each roll is $0.60.
If you purchase 13 individual rolls, you pay
13 x 0.6 = $7.80
But if you purchase the Baker's dozen, you pay only $7.20, so you save $0.60
7.80 - 7.20 = 0.60
Answer: 0.60
Step-by-step explanation:
If you purchase 6 rolls, you pay $3.60
Each roll is $0.60.
If you purchase 13 individual rolls, you pay
13 x 0.6 = $7.80
But if you purchase the Baker's dozen, you pay only $7.20, so you save $0.60
7.80 - 7.20 = 0.60
Please I really need help
15 POINTS..15 POINTS
ONLY ONE QUESTION
ANSWER IT WITH EXPLANATION
PLEASE I NEED IT NOW
NEW ANSWER
Lupita is correct because when there is a constant of proportiantilly the line will start at the origin and it will be straight all the way. No curves, bends, etc. Another way you can tell is because when the line gets to "2" it lines up with 300 when the line gets to "4" it lines up with 600. That shows that the line is equal all the way through.
thanks for brainly (:
glad I could help!
Maria walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes. If she continues to alternate walking and running at the same paces, how many laps will she complete in 16 minutes?
Answer:
8 laps
Step-by-step explanation:
every 8mins 4 laps are run
Maria completed a total of 8 laps in 16 minutes.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Maria who walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes.
Assume that she completes [x] laps in 16 minutes.
x = L[walking] + L[Running]
x = (2 + 2) + (2 + 2)
x = 8
Therefore, Maria completed a total of 8 laps in 16 minutes.
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estimate the area please.
Answer: You need to count how many squares are shaded (at least half of it), therefore the area is 32 square units.
cos^-1(cos 43°)
PLEASE HELP ME
[tex] \: \: \: \: \: [/tex]
[tex] = \cos(1) \cos(43°) \\ \\ in \: \: alternate \: \: form \: \\ \\ = 0.395152[/tex]
Step-by-step explanation:
[tex] \cos( - 1) ( \cos(43°)) [/tex]
simplify the expression usiNg the symmetry of trigonometry[tex]= \cos(1) \cos(43°) \\ \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ = 0.395152[/tex]
hope it helps[tex]\cos^{-1}(\cos 43^{\circ})=43^{\circ}\\\\\\\text{In radians,}~~ \dfrac{43\pi}{180}[/tex]
You are trying to show that two triangles are similar. Which of the following statements can help you establish similarity?
A) The sum of the side lengths of every triangle is always the same.
B) Dilating a triangle does not change the measurements of the triangle's angles.
C) Applying a rigid transformation to a triangle changes the triangle's angle measures.
D) Triangles with at least one set of congruent angles must be similar.
The answer is B) Dilating a triangle does not change the measurements of the triangle's angles.
Angle a and angle b are supplementary angles. if measure angle A=(2x-14)degree and m angle B= (3x-6) degree, then find measure of angle A
we have: ∠A + ∠B = 90°
<=> (2x-14) + (3x-6) = 90° <=> 2x - 14 + 3x - 6 = 90°
<=> 5x + 20 = 90°
<=> 5x = 70°
<=> x = 14°
So: ∠A = 2x - 14 = 2.14 - 14 = 14°
Ok done. Thank to me :>
Determine the decimal equivalent of 5 over 8
Answer:
3.125
Step-by-step explanation:
We know that
258
is the same as
25÷8
Then using
Long Division for 25 divided by 8
and rounding to a Max of 3 Decimal Places gives us
=3.125
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.Which expressions both calculate the number of hours Demetrius works in a 5-day work week?
The expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]
If Latisha works [tex]x[/tex] hours each day
Demetrius works one more hour than Latisha each day. Algebraically, Demetrius works [tex](x+1)[/tex] hours each day
So for a [tex]5[/tex]-day working week, Demetrius will work
[tex](x+1)+(x+1)+(x+1)+(x+1)+(x+1)\\=5\times (x+1)\\=5(x+1)hours[/tex]
If we remove the brackets, we have the equivalent expression
[tex]5(x+1)=5x+5[/tex]
So the expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]
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write slope - intercept form equation that has initial value of -100 and rate of change of 25
Answer: The slope intercept form equation is y = 25x - 100.
The information is on the image
what does x equals to if 3( x + 7 ) =57
3(x + 7) = 57 |÷3
x + 7 = 57/3
x + 7 = 19 |-7
x = 19 - 7
x = 12
HELLO CAN SOME ONE WHO IS GOOD AT MATH ANSWER THIS PLEASE
Its the first equation, y < -1/3x +2
In a week, Tracy earns $12.45 less than twice the amount Kayla earns. Tracy earns $102.45. How much does Kayla earn?
Answer:
$57.45
Step-by-step explanation:
102.45=2x-12.45
2x= 102.45+12.45
2x=114.90
x= 114.90/2
x=$57.45
-9y + 4x - 20 = 0
-7y + 16 - 80
Answer:
Step-by-step explanation:
what is the perimeter of PRT?
Give your answer as just a number.
Step-by-step explanation:
PT=2QS = 2×8 = 16m
therefore perimeter of ∆PRT = 6+16+14 = 36m
hope this helps you.
What is the mass of a litter of 9 baby opossums?
Answer:
It is approximately 0.13 grams.
Your friend has prepared his monthly budget and asks you if he has overlooked anything in this planning. Which of the following questions points out his most serious omission? A 2-column spreadsheet showing Cash Inflows and Cash Outflows. Cash inflows are Disposable income 4,165 dollars, interest on savings 0 dollars, income from stocks 50 dollars, with total cash inflow 4,215 dollars. Cash outflows are mortgage 1,000 dollars, homeowner's insurance 60 dollars, car payment 373 dollars, car insurance 125 dollars, stock purchases 200 dollars, life and health insurance 150 dollars, retirement plan 500 dollars, utilities 235 dollars, cable/phone 160 dollars, groceries 600 dollars, recreation 550 dollars, with total cash outflow 3,953 dollars. a. What if your income from stocks is lost? b. What if you need to go to the doctor? c. What if the electric bill increases? d. What if you need to replace the furnace? Please select the best answer from the choices provided A B C D
Answer:
Yes its D
Step-by-step explanation:
Correct on edg. 2021
The question that points out his most serious omission from the monthly budget preparation is d. What if you need to replace the furnace?
What is a monthly budget?A monthly budget is an outline of the cash inflows and cash outflows from a person's or firm's account during a month's period. It tracks cash inflows based on income and the outflows in expenses.
The preparation of a monthly budget helps in financial planning and control by tracking expenses and income.
Thus, the most relevant question that deals with a budget overlook is not about losing stock income, going to the doctor, increased electric bill but Option D.
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The time it takes to distribute pamphlets varies inversely with the number of people distributing them. If it takes 40 min for 3 people to distribute the pamphlets, how long would it take if there were 5 people distributing the pamphlets?
Using proportions, it is found that it would take 24 minutes if there were 5 people distributing the pamphlets.
This question is solved by proportions, using a rule of three.The more people that are there distributing the pamphlets, the less time it takes, hence the measures are inverse proportional, which means that line multiplication is applied instead of cross multiplication.3 people take 40 minutes. How many minutes 5 people take?The rule of three is:
3 people - 40 minutes
5 people - x minutes
Applying line multiplication:
[tex]5x = 120[/tex]
[tex]x = \frac{120}{5}[/tex]
[tex]x = 24[/tex]
It would take 24 minutes if there were 5 people distributing the pamphlets.
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As an incoming college freshman, Tina received a 10-year $9,900 Federal Direct
Unsubsidized Loan with an interest rate of 4.29%. She knows that she can begin making
loan payments 6 months after graduation but interest will accrue from the moment the funds
are credited to his account. How much interest will accrue while she is still in school and
over the 6-month grace period for this freshman year loan?
The amount charged on the loan which is the loan interest rate, increases as the time after the initial amount is credited into the account increases.
The interest on the Federal Direct Unsubsidized Loan after 4 years 6 months is $1,911.195Reasons:
The given parameter are;
Loan amount, the principal, P = $9,900
Duration of the loan = 10 years
Loan interest rate, R = 4.29%
Required:
The amount of interest that will accrue while she is still in school and over the 6-months grace period for the freshman loan.
Solution:
Based on a similar question on an online source, we have;
Interest, I = P × R × T
Where;
T = The time = The time the freshman is in school + 6 months
Therefore, normally, we have;
T = 4 years + 6 months = 4.5 years
R = 4.29% = 0.0429
Therefore;
Interest, I = 9,900 × 0.0429 × 4.5 = 1911.195
The interest that will accrue while she is still in school and over the 6-months grace period for the loan, I = $1,911.195
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Rewrite 4/8 : 1/4 as a unit rate pls help
the denominator has to be one so you multiply 1/4 by 4, and 4/8 by 4 also
2:1
help was i correct please help for brainlist!!!!!!!!!!!!!!
You're correct! we can see the population is not going down by half each time, so that eliminated b and c. Since we start with 5000, this makes c the right answer.
Hope this helps :)
Answer: c
Step-by-step explanation:
Consider the number. -|-34.5| what is the distance from this number to zero on a standard number line??
Answer:
34.5
Step-by-step explanation:
The absolute value of -|-34.5| is -34.5. So, -34.5 is 34.5 away from 0.
Answer:
34.5 units.
Step-by-step explanation:
When we simplify -|-34.5|, we get -34.5, which is basically 34.5 units away from 0.
Hoped this helped.
What are the lengths of the major and minor axes of the ellipse?
(x−3)^2/18 + (y+4)^2/32=1
[tex] \: \: \: \: [/tex]
[tex]elipse \: \: \: with \: \: the \: \: center (3, - 4)[/tex]
refer to the attachmenthope it helpsThe length of major axis of the ellipse 2√32.
The length of minor axis of the ellipse 2√18.
What is an ellipse?
The standard form of the ellipse is defined as;
x² / a² + y² / b² = 1
Where, a < b
Minor axis of the ellipse = 2a
And, Major axis of the ellipse = 2b
Given that;
The equation of the ellipse is,
(x−3)² / 18 + (y+4)² /32 = 1
Now,
We can compare with the standards form of an equation of ellipse, we get;
a² = 18
a = √18
And, b² = 32
b = √32
Clearly, √18 < √32
That is; a < b
So, The minor axis of the ellipse = 2a
= 2√18
And, The major axis of the ellipse = 2b
= 2√32
Therefore,
The length of major axis of the ellipse 2√32.
The length of minor axis of the ellipse 2√18.
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The wallaby is essentially a small kangaroo that is native to Australia. To monitor the wallaby population, scientists catch 88 and tag them. A month later, they capture 600 wallabies and notice that 44 have tags. To the nearest viole number, what is the best estimate for the TOTAL wallaby population using ratios?
The best estimate for the total wallaby population is 1200.
Since to monitor the wallaby population, scientists catched 88 and tag them, already a month later, they captured 600 wallabies and noticed that 44 had tags, to determine what is the best estimate for the total wallaby population using ratios, the following calculation must be done:
44 = 600 88 = X 88 x 600/44 = X 1200 = X
Therefore, the best estimate for the total wallaby population is 1200.
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