Answer:
Step-by-step explanation:
Q9) Surface Area of a cylinder
= 2πr(r + h)
Diameter = 12cm , Radius = Diameter/2 = 12 cm/2
r = radius = 6cm
h = height = 10 cm
Surface area = 2 × π × 6(6 + 10)
= 603.18579 cm²
Approximately = 603.2 cm²
Q11) Volume of a rectangular prism
Length × Width × Height
Length = 6.5cm
Width = 8.5 cm
Height = 4 cm
Volume = 6.5 cm × 8.5 cm × 4 cm
Volume = 221 cm³
Q12) Volume of the cylinder = πr²h
r = radius = 1.7m
h = height = 9 m
Volume = π × 1.7 × 9
= 81.71 m³
Approximately = 81.7 m³
Q13) Volume of the cylinder = πr²h
Diameter = 0.8m, Radius = Diameter/2 = 0.8m/2
r = radius = 0.4m
h = height = 1.5 m
Volume = π × 0.4 × 1.5
= 0.75 m²
Approximately = 0.8 m³
N + 6 < -1 what is the solution to the inequality
Answer:
N<-7 or (-∞,-7) hope this helps
A central angle of a circle that measures 2 radians intercepts an arc of length 10 cm. What is the length of the radius?
5 cm
10 cm
15 cm
20 cm
Answer:
5 cm
Step-by-step explanation:
Arc length (S) = 10 cm
Central angle [tex] (\theta) [/tex] = 2 radians
We need to find: radius of the circle (r)
[tex] \because S = r \theta [/tex]
[tex] \therefore 10 = r(2) [/tex]
[tex] \therefore r= \frac{10}{2} [/tex]
[tex] \therefore r= 5\: cm [/tex]
Marina picked X apples in Orchard she and her friends 86 then leaving 36 Apples The number of apples can be represented by the equation X -6 equals 36 plot a point on the number line to represent X
Answer:
[tex]x = 42[/tex]
See attachment for number line (see that the dot is on 42)
Step-by-step explanation:
Given
[tex]x - 6 = 36[/tex]
Required
Plot x on a number line
First, we solve for x
[tex]x - 6 = 36[/tex]
Add 6 to both sides
[tex]x - 6 +6= 36+6[/tex]
[tex]x = 42[/tex]
See attachment for number line
Ms. Trevino has 7 1/2 yards of string, She needs to cut them into strips, and each strip needs to be 1 1/2 yards in length. How many strips of string can she cut with 7 1/2 yards?
Answer:
[tex]N_t=6.455\ yards[/tex]
Step-by-step explanation:
From the question we are told that:
Total String [tex]N=71/2[/tex]
Strip size [tex]N_s=11/2[/tex]
Generally the equation for Total Number of strip cut [tex]N_t[/tex] is mathematically given by
[tex]N_t=\frac{N}{N_s}[/tex]
Therefore the strips of string can she cut with 7 1/2 yards is Given as
[tex]N_t=\frac{71/2}{11/2}[/tex]
[tex]N_t=\frac{71}{2}*\frac{2}{11}[/tex]
[tex]N_t=\frac{71}{11}[/tex]
[tex]N_t=6.455\ yards[/tex]
how many ways can 5 friends sit together at the movies in 5 seats?
Answer:
120
Step-by-step explanation:
The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,
[tex]\implies ^n P_r = \dfrac{n! }{(n-r)!} [/tex]
⇒ 5! / (5-5)!
⇒ 5! / 1!
⇒ 5!
⇒ 5 × 4 × 3 × 2 × 1
⇒ 120
Hence there are 120 ways by which 5 friends sit together at the movies in 5 seats.El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el área se triplica
Answer:
el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
width is 8 meters and length is 3*8= 24 meters
Step-by-step explanation:
Spanish
Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.
Entonces el área = largo * ancho
área = 3x * x = 3x²
3 multiplicado por área = 9x²
9x² = (3x + 40) (x + 1)
9x² = 3x² + 3x + 40x +40
9x² = 3x² + 43x +40
0 = -6x² + 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40 = 0
Usando ecuación cuadrática
a = 6, b = -43, c- = -40
x = - b ± √b²- 4ac / 2a
x = 43 ± √1849- 4 (6) (- 40) / 12
x = 43 ± √1849 + 960/12
x = 43 ± 53/12
x = 43+ 53/12 y x = 43-53 / 12
x = 96/12 y x = -10/12
x = 8 y x = - 5/6
Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
English
The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled
If the width of the house of the house is x then the length of the house is 3x.
Then the area = length * breadth
area= 3x*x= 3x²
3 times area= 9x²
9x²= (3x+40 )(x+1)
9x²= 3x²+ 3x +40x +40
9x²= 3x²+ 43x +40
0 = -6x²+ 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40= 0
Using quadratic equation
a= 6 , b= -43 , c-= -40
x= - b±√b²- 4ac/ 2a
x= 43±√1849- 4(6)(-40)/ 12
x= 43±√1849+960/ 12
x= 43± 53/ 12
x= 43+ 53/ 12 and x= 43- 53/ 12
x= 96/ 12 and x= -10/ 12
x= 8 and x= - 5/6
Ignoring the negative value x= 8 width is 8 meters and length is 3*8= 24 meters
(1, 1/4), (0, 1), (-1,4), (-2, 16)
linear or exponential or neither
Answer:
exponential
Step-by-step explanation:
Answer:
Exponential
Step-by-step explanation:
You can look at the values and see that they multiply by 1/4 each time. You can also plug the value into a graphing calculator.
please help if you can!
Answer:
y = (2/3)x + 3
Step-by-step explanation:
Notice that if we start at any x value shown in the table and increase x by 3, y will increase by 2. Thus, the slope of the line is 2/3.
From the entry (0, 3), we know that the y-intercept is b = 3.
Thus, y = mx + b becomes:
y = (2/3)x + 3
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
7, 12, 17
Find the 34th term
The 34th term of the sequence is 172
Arithmetic sequenceThis is a type of sequence which have a common difference (d) between each term
How to determine the 34th term of the sequenceFrom the question given above, the following data were:
Sequence => 7, 12, 17First term (a) = 7Common difference (d) = 12 – 7 = 534th term (T₃₄) =?T₃₄ = a + 33d
T₃₄ = 7 + (33×5)
T₃₄ = 7 + 165
T₃₄ = 172
Learn more about arithmetic sequence:
https://brainly.com/question/24873057
The 34th term of the sequence is 172
Sequence and seriesGiven the sequence 7, 12, 17...
The nth term of the sequence is expressed as;
Tn = a + (n-1)dGiven the following
a = 7
d = 12 - 7 = 5
n = 34
Substitute the given parameters
T34 = 7 + (34 - 1)*5
T34 = 7 + (33)*5
T34 = 172
Hence the 34th term of the sequence is 172
Learn more on sequence here: https://brainly.com/question/6561461
Question 4 of 10
Which of the following is equal to 9•4 ?
O A.
O B. V.4
O C. 36
O D. 18
Answer:
36
Step-by-step explanation:
9x4=36
Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
please help, thank you!
Answer:
Triangle OBA is a right angled triangle since a radius meets a tangent at an angle of 90°..So use pythogrus theorem to find the radius.
PLEASE HELP!!!!!!!!!!!!
Answer:
1. 10√3
2. -√5
3. 21√3 -9√5
4. 12√7-√11
5. 8√5-3(√5*√4) = 8√5- (3*2)√5= 2√5
6. √5*√4 -√5= 2√5-√5= √5
7. 3√5*√9 +√5*√4 -√49*√5 = 15√5+2√5-7√5= 10√5
8. √6*√4 - √6*√9 + √16*√6= 2√6-3√6+4√6= 3√6
Hope it helps you :)
does anyone know the surface area of this pyramid?
Answer:
217
Step-by-step explanation:
1/2 * 12 * 7 = 42 this is one side of the pyramid
4x for all sides = 168
add the bottom which is just a square 7*7 = 49
168 + 49 = 217
Sarah is going on a trip. She drives for 1 hours and 40 minutes, rests for 25 minutes and drives for another 1 hours 45 minutes. What is her total travel time in hours and minutes
Answer:
3 hours and 50 minutes
Step-by-step explanation:
Given that
Sarah drives for 1 hours and 40 minutes
And, rest for 25 minutes
And, then drive for another 1 hour & 45 minutes
We need to find out the total travel time in hours and minutes
First we convert into minutes i.e.
= 1 hour + 40 minutes + 25 minutes + 1 hours + 45 minutes
= 60 minutes + 40 minutes + 25 minutes + 60 minutes + 45 minutes
= 230 minutes
i.e.
3 hours and 50 minutes
How much simple interest would Alexis earn if he deposits $2450 in a savings account with a simple interest rate of 12% for 15 years.
Answer:
4410
Step-by-step explanation:
Which factors of -24 are used to factor x^{2}+2x-24
Answer:
Step-by-step explanation:
6 , -4
Reason:
If you add 6 and (-4) , you will get 2 & if you multiply 6 and -4, you will get -24
In October Sally drove 560 miles in her car.
The car travelled 34.5 miles for each gallon of petrol used.
Petrol cost £1.08 per litre.
1 gallon = 4.55 litres.
Work out the cost of the petrol the car used in October
Answer: £80
Step-by-step explanation:
First, we need to calculate the number of gallons used by Sally. This will be:
= 560 / 34.5
= 16.23 gallons
Since 1 gallon = 4.55 litres, we calculate the number of liters and this will be:
= 16.23 × 4.55
= 73.85 liters
Since Petrol cost £1.08 per litre, the cost of the petrol will be:
= £1.08 × 73.85
= ££79.758
= £80 approximately
8. Mystery Number: a number is multiplied by 5. The product is then added to 11. The square root of that sum is equal to 9. Find the number. Show your work or steps.
Answer:
14
Step-by-step explanation:
14x5=70
70+11=81
√81=9
HELP ME PLEASE ............................
Classify this triangle by its sides and angles.
Answer:
right and scalene
Step-by-step explanation:
all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.
Please help me please I really need help
Answer:
See below
Step-by-step explanation:
The answer is attached
What is the volume of this prism?
Answer:24
Step-by-step explanation:
LxWxH = 4x2x3
4x2 = 8
8 x 3 = 24
Write an equivalent expression for 3(2x + 4y).
Answer:
6x+12y
Step-by-step explanation:
I hope this helps, and STAYYY!!!!!! Fresh!
can someone helppp!! i will guy brainlist if it’s right!
Answer: 12.75
Step-by-step explanation:
10.25+ .50(5)=12.75
-x^2+6x-5=f(x)
find the vertex and x/y intercepts
Can anybody help me with this problem?
Answer:
$830
Step-by-step explanation:
x/2=200+215
x/2=415 multiply by two on both sides to get x alone
x=830
please help! i have a certain amount of time. i'll give brainliest
Answer:
86ft²
Step-by-step explanation:
3x2/2=3
3x2/6=3
10x2.5=25
10x2.5=25
3x10=30
30+25+25+3+3=86
Kameron’s unicycle wheel has a spoke length of 16 inches. Approximately how many inches of ground does Kameron cover in 3 full rotations of the unicycle wheel? (Use 3.14 as an approximation of pi.) 100.48 inches 100 point 4 8 inches 150.72 inches 150 point 7 2 inches 200.96 inches 200 point 9 6 inches 301.44 inches
Answer:jj
Step-by-step explanation:
iuin
Carolyn lives near two parks. Centennial Park is 2 km away and Canatara Park is 2,548 meters away. Canatara Park is located closer to Carolyn. Is this true or false?
Answer:
False
Kilometer
Step-by-step explanation:
First Question:
1 km = 1000 m
2 km = 2 * 1 km = 2 * 1000 m = 2000 m
Centennial Park is 2 km = 2,000 m away.
Canatara Park is 2,548 meters away.
Since 2,548 > 2,000, Canatara Park is farther away than Centennial Park.
Answer: False
Second Question:
A distance from a home to a store is usually measured in kilometers.
Answer: it’s false
Step-by-step explanation: