Answer:
sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 45 = x/2
2 sin 45 =x
2 ( sqrt(2)/2) =x
sqrt(2) =x
X – 10x = 100
Use a trial and improvement method to find this solution.
Give your answer correct to 1 decimal place.
You must show all your working.
On the same line as your final answer you must write "to 1 decimal place".
Answer:
-11.01 or -11
Step-by-step explanation:
x-10x=100
1x-10x=100
-9x = 100
-9x/-9 =100/-9
x = -11.01
No calculator used
Tiana would like to buy ice cream cones for her birthday party, but since she
does not have very much ice cream, she wants cones with the smallest
volume. Which of the following brands of ice cream cones should she buy?
Brand A:
height of cone = 15 cm
radius of cone base = 4 cm
Brand B:
height of cone = 12 cm
radius of cone base = 5 cm
A. Brand A
B. Brand B
C. Either - the cones have equal volumes
The smallest volume of ice cream in Brand A.
How to estimate the volume of cone?
Given:
Brand A:
height of cone = 15 cm
radius of cone base = 4 cm
Brand B:
height of cone = 12 cm
radius of cone base = 5 cm
Volume of cone = 1/3πr² h
Volume of ice cream A = ( π [tex]4^2[/tex] (15) ) /3 = 240 π/3 = 80 π
Volume of ice cream B = ( π [tex]5^2[/tex] (12) ) /3 = 300 π/3 = 100 π
In comparison, you can figure out which one would give her more volume of ice cream in Brand A.
Therefore, the correct answer is option A. Brand A.
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A researcher asked 36 tourists which Caribbean island was their favourite The results showed that 9 tourists said Tobago. The researcher wants to draw a pie chart to show this information What should the angle for the Tobago segment measure?
A. 9 degree
B. 14 degree
C.25 degree
D. 90 degree
Z -7, when z=6 PLS HELP MY I AM NOT SURE IF I DID IT RIGHT I HAVE TO TURN THIS IN TOMORROW
Answer:
Z-7
6-7
-1
Step-by-step explanation:
we have to replace the value of Z and then subtract by seven.
[tex]\sf \: z = 6 \\ \\\sf z - 7 \\ \sf = (6) - 7 \\ \sf = 6 - 7 \\ = \underline{\bf - 1}[/tex]
-> Just substitute the value of z in the equation & you'll get the required solution.
Find the missing side of the right triangle
Work Shown:
a^2 + b^2 = c^2
x^2 + 10^2 = 15^2
x^2 + 100 = 225
x^2 = 225 - 100
x^2 = 125
x = sqrt( 125 )
Please help..If you know the correct answer
Answer:
AC is the longest side
AB is the shortest side
Step-by-step explanation:
We can find the third angle
A+B+C = 180
55+80+C = 180
135+C = 180
C = 180-135
C =45
The longest side is opposite the largest angle
B is the largest angle so AC is the longest side
C is the the smallest angle so AB is the shortest side
Where should you place the needle of your compass in the first step of an angle bisection?
Answer:
Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.
An expression is shown below:
4m3 + 12xm2 − 8m2 − 24xm
Rewrite the expression by factoring out the greatest common factor. (5 points)
Answer:
Step-by-step explanation:
4m³ + 12xm² - 8m² - 24xm = (4m³ - 8m²) + (12xm² - 24xm) {Group terms}
=4m²(m - 2) + 12xm(m - 2) {Factor terms}
= (m - 2)(4m² + 12xm)
=(m -2) 4m(m + 3x).
Answer:
4m(m+3x)(m-2)
Step-by-step explanation:
4m^3 + 12xm^2 - 8m^2 - 24xm
= 4m(m^2 + 3xm - 2m - 6x)
= 4m(m(m+3x) - 2(m+3x))
= 4m(m+3x)(m-2)
Currently, Mike is 8 years more than twice Tom's age. In 3 years from now,
Mike's age
will be three times Tom's age. What are their current ages?
Answer:
The current age of Mike is 12 years old while that of Tom is 2 years old.
Step-by-step explanation:
Let the current age of Mike be m years old and that of Tom be t years old.
Currently
m= 2t +8
3 years from now
Tom's age= t +3
Mike's age
= m +3
= 2t +8 +3
= 2t +11
Given that in three years, Mike's age is 3 times Tom's age,
2t +11= 3(t +3)
Expand:
2t +11= 3t +9
3t -2t= 11 -9
t= 2
Current age of Mike
= 2t +8
= 2(2) +8
= 4 +8
= 12
Help Please Math!!!
Find The Surface Area Of The Prism
Answer:
Surface Area=208 cm²
Step-by-step explanation:
Surface Area= 2×l×w+2×l×h+2×h×w
SA= 2×11×4+2×4×4+2×11×4=208
Bella has joined a new gym in town. The cost of membership is $25 per month. The after-hours policy at the gym allows her to work out late at night for an extra fee of $4 per visit. If Bella's first monthly bill totaled $53, which equation can be used to determine how many times Bella worked out after hours?
Answer:
So, we get
$25+4n = $53 is the required equation.
Therefore, $25+4n = $53 equation can be used to determine how many times Bella worked out after hours.
Step-by-step explanation:
The total monthly bill of the gym = $53
The cost of membership of a month = $25
Let 'n' be extra the number of hours Bella worked on.
The cost for working on extra hours = $4
So, we have to determine the equation, Bella worked out after hours.
We will determine the equation by:
(Monthly cost of membership) + ( cost for extra hours number of hours extra worked on ) = Total monthly bill received
2x^2-3x+2=x√(3x^2-2)
If Sunil earns $3672 per month, what is his annual salary?
Answer:
$44064
Step-by-step explanation:
Sunil earns $3672 every month. To find out his annual salary, we will need to multiply this monthly salary by the number of months in a year; 12.
3672 * 12 = $44064
find the difference between of the greatest and smallest 5 digit number
Answer:
Step-by-step explanation:
The largest 5-digit number is 99999 and the smallest 5-digit number is 10000. If it was mentioned that the largest unique 5-digit number then it would have been 98765 and the smallest 5-digit number would have been 10234.
Hope this answer helps you :)
Have a great day
Mark brainliest
A taxi travels for 126 km from Seremban taxi station at 9:15 morning and reach the Shah Alam taxi station at 10:45 morning. Calculate the average speed, in km h, of the whole journey of the taxi.
Given:
Taxi travels for 126 km.
Starting time = 9:15
Reaching time = 10:45
To find:
The average speed, in km/h.
Solution:
We have,
Distance = 126 km
Time = 9:15 to 10:45
= 1 hour 30 minutes
= 1.5 hour [1 hour = 60 minutes]
We know that,
[tex]Speed=\dfrac{Distance}{Time}[/tex]
[tex]Speed=\dfrac{126}{1.5}[/tex]
[tex]Speed=84[/tex]
Therefore, the average speed to the taxi is 84 km/h.
Help anyone can help me do this question,I will mark brainlest.
Answer:
34 pi
Step-by-step explanation:
Use formula for circumference, 2 pi r
Find the circumference for both circles because both circles circumference are included in the shaded region
I need answers asappppp plz
Answer:
Step-by-step explanation:
Find KJ given gene base?
Answer:
KJ = 6
Step-by-step explanation:
KJ = 1/2 * EG
=1/2 * 12
=6
Instructions: Find the missing side. Round your answer to the nearest tenth.
53 and 10
Answer:
8
Step-by-step explanation:
10sin(53) = 7.986... = 8.0
Lucy rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 10.
Answer:
10÷5 = 2, 2+2 =4, answer is 4
Please hurry I will mark you the brainliest
Answer:
1 9/16 metres
Step-by-step explanation:
h = 25 ( 1/2)^n where n is the number of bounces
let n = 4 bounces
h = 25 ( 1/2)^4
h = 25 ( 1/16)
h = 25/16
h = 1 9/16 metres
Now we have to,
find the height of the ball after 4 bounces.
→ h = 25 (1/2)^n
→ n is the number of bounces
Then keep n as 4 bounces,
→ 25 (1/2)^n
→ 25 (1/2)^4
→ 25 (1/16)
→ 25/16 m {or} 1 9/16 m
Thus, height of the ball is 25/16 m.
10 million= ___ million
Answer:
10
Step-by-step explanation:
There were 5 seats on the bus. In how many ways could the seats be occupied if there were four children?
Answer:
5 choose 4
[tex]=\frac{5!}{4!\left(5-4\right)!}[/tex] = 5
Step-by-step explanation:
first answer gets marked brainliest!!!
Answer:
A
Step-by-step explanation:
plz give brainliest
How do u find the area of a kite using coordinates?
Answer:
What is the area of a kite equal to? The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.
Find z, the total impedance, of each circuit. Express your answer in standard form
Answer:
a. 7 Ω
b. 5 Ω
c. 4.472 Ω
Step-by-step explanation:
a. Since we have two resistors in with resistances R = 4Ω and R' = 3 Ω in series, the total impedance z of the circuit is the sum of the individual resistances.
So, z = R + R' = 4 Ω + 3Ω = 7 Ω
b. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, the total impedance is z = √(R² + X²)
z = √((4 Ω)² + (3 Ω)²)
z = √(16 Ω² + 9 Ω²)
z = √(25 Ω²)
z = 5 Ω
c. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, and a capacitor of reactance, X' = 1 Ω the total impedance is z = √[R² + (X - X')²]
z = √((4 Ω)² + (3 Ω - 1 Ω)²)
z = √(16 Ω² + (2 Ω)²)
z = √(16 Ω² + 4 Ω²)
z = √(20 Ω²)
z = √(4 × 5) Ω
z = √4 × √5 Ω
z = 2√5 Ω
z = 4.472 Ω
mA = (4x - 2) and mzB = (11x + 17)°. Find x if the angles are
supplementary
A.) 165
B.) 180
C.) 15
D.) 11
The Raptors are scheduled to play 85 games this season.
a. Create a table of values that will show some of the possible amounts Stretch might eam
throughout the first season. Number of games played is represented by n and money
earned by E.
b. Graph the information to show his earnings for the season. Use a suitable scale. Change
the money values in your table to millions of dollars before starting.
C. D) Write an equation relating Stretch's earnings to the number of games he plays.
ii) Define your variables, including units.
II) Explain what the numbers in your equation represent for Stretch.
d. How much money will Stretch make if he plays 44 games this season? Show your work.
e. Stretch's twin brother, Rory, has been offered a different contract. The following equation
defines the offer. E = 95 000n + 450 000
E represents Rory's total earnings in dollars and n represents the number of games Rory
plays. Is this a better offer than Stretch's? Give reasons for your answer by comparing the
two offers, reporting mathematical details about the comparison.
Answer:
How do you expect me to do all of that lol
Step-by-step explanation:
What is the remainder when (x^3 + 1) is divided by (x^2 – x + 1)?
O x +1
Ο x
O 2
Ο 0
Answer:
The answer is 0 .... solution is X+1 the REMAINDER IS 0
Step-by-step explanation:
The remainder when (x³ + 1) is divided by (x² - x + 1) is 0.
The correct option is D.
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
We can use polynomial long division to find the remainder of (x³ + 1) divided by (x² - x + 1):
x + 1
-------------
x² - x + 1 | x³ + 0x² + 0x + 1
- (x³ - x² + x)
---------------
x² - x + 1
- (x² - x + 1)
-------------
0
Therefore, the remainder when (x³ + 1) is divided by (x² - x + 1) is 0.
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Explain how to know when to use mean, median, or mode as a measure of
central tendency. For each measure, give an example of a situation where the
center should be used.
Answer:
Step-by-step explanation:
Mean
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Median
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2.
Mode
To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.