Answer:
1100 mm = 1.1 m, and 900 mm = 0.9 m.
So the area is 1.1 x 0.9 = 0.99 m^2
The area of the rectangular board is 0.99 square meters.
Given that a rectangular board is 1100 millimeters long and 900 millimeters wide.
We need to find the area of the board,
To find the area of the rectangular board in square meters, we need to convert the given dimensions from millimeters to meters and then calculate the area.
Given:
Length of the board = 1100 millimeters
Width of the board = 900 millimeters
To convert millimeters to meters, we divide the given values by 1000:
Length in meters = 1100 mm / 1000 = 1.1 meters
Width in meters = 900 mm / 1000 = 0.9 meters
The formula to calculate the area of a rectangle is:
Area = Length × Width
Substituting the values, we get:
Area = 1.1 meters × 0.9 meters
Area = 0.99 square meters
Therefore, the area of the rectangular board is 0.99 square meters.
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Find the value of x. Pythagorean theorem and its converse
are z^3 and 3z equivalent expressions? explain.
Answer:
no, they are not.
Step-by-step explanation:
3z means a number multiplied by 3
so if z is 2, 3(2) = 6
but z^3 means z multiplied by z, and then multiplied by z again.
so if z is 2, it's 2x 2 = 4 x 2 = 8
let me know if you have questions
The two expressions are not equivalent to each other.
What are equivalent expressions?Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.
From the expressions given:
z^33zThe first expression is a variable (z) raised to a power of 3. The power is also called an exponent.The second expression is a variable(z) that has a coefficient of 3Let us assume that:
z^3 = 3z
Now, let's replace 2 for the value of z on both sides, we have:
(2)^3 = 3(2)
8 ≠ 6
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Pleaseeee help I'll give Brainliest urgent!!!!!!!!!!!!!!!!!
Answer:
The answer is
'The range of the data for girls is less than the range of the data for boys'
I'm don't know dfhgh fhfghfg hgf hgfh
The 3rd term of an arithinetic progression is-9
and the 7th term is -29. Find the 10th term of the
progression.
Answer:
-64
Step-by-step explanation:
The computation of the 10th term of the progression is shown below:
The 3rd term is -9
A_n = a + (n - 1)d
-9 = a + (3 - 1)d
-9 = a + 2d
-9 - 2d = a
Now the 7th term is -29
A_n = a + (n - 1)d
-29 = a + (7 - 1)d
-29 = a + 6d
Put the a value to the above equation
-29 = -9 - 2d + 6d
-29 + 9 = 4d
-20 = 4d
d = -5
Now
-9 - 2d = a
-9 - 2(-5) = a
-9 - 10 = a
a = -19
Now finally the 10th term of the progression is
= a + (n - 1)d
= -19 + (10- 1)-5
= -19 -45
= -64
how did you get 24/10?
Step-by-step explanation:
[tex] \tt{} \frac{24}{10} [/tex]
[tex] \tt{} \frac{24 \div 2}{10 \div 2} [/tex]
[tex]\tt{} \frac{12}{5} [/tex]
[tex]\tt{}2 \frac{2}{5} \: \: \: \: \: = 2.4[/tex]
40÷ 1/25
1/3÷15
Change this mixed number into a improper fraction 3 5/9
11/15×3/44
1/8×32
54 1/2-42 3/4
3/4-1/2
15/16-7/16
Find the common denominator 3/5 and 7/9
Find the common denominator 3/9 and 1/4
Help please!!!
WILL MARK BRAINLIEST! Solve for x and each angles measure. Only asking for #5. Thank you!
Answer:
Step-by-step explanation:
2x + 3x + 135 = 180 Every triangle has 180 degrees
5x + 135 = 180 Subtract 135 from both sides.
5x = 45 Divide by 5
x = 9
2x = 18
3x = 27
Other angle 135
Total 280
4. The teacher recommends that students read for 20
minutes each night. How many pages will the
student complete?
proportional relationships
please help me please help me please help
Answer:
a) September; b)October
Step-by-step explanation:
Just do the calculations, for example: 71+(-293). You will see September has a drop less 210 dollars and October has the biggest change of sales.
Is this table linear or not?
Pls awnser the question I'm stuck
Can someone help me with the vertex of the parabola
Answer:
The vertex is (-1.5, 11.25)
Step-by-step explanation:
Can someone please help meeeee
Answer:
45°
Step-by-step explanation:
The angle with measure of 9x and the angle with measure of 3x are supplementary
9x + 3x = 180°
12x = 180 divide both sides by 12
x = 15
The angle with measure of 9x and angle a are supplementary as well
9x + a = 180
9×15 + a = 180
135 + a = 180 subtract 135 ftom both sides
a = 45°
builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. What is the average size of the lots?
Answer:
I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more
Please help me I wanna go to sleep :(
Answer:
a. -2
b. 48, -96, 192
Step-by-step explanation:
The function .... is symmetric with respect to what ?
Answer:
Reflection symmetry, lines of symmetry, mirror symmetry, mirror-image symmetry, are symmetry with respect to reflection. That is, a figure that does not change after undergoing reflection has re-symmetry
Look at point w,x,y,and z on the number line
Answer:
u need toADD THE PITRUE
Step-by-step explanation:
Graph the function.
h(x)=1/3x^2 + 2x - 4
Answer:
this should be right
Step-by-step explanation:
‼️DIMENSIONAL ANALYSIS‼️
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!
Marco bounces a basketball 45 times in 60 seconds.at the rate approximately how many times will Marco bounce the ball 150 seconds?
Answer:
Approximately : 135
Step-by-step explanation:
60sec x 3 = 180sec
45 x 3 = 135
Please help solve this!
Find the unknown number 10% of what number is 300
Answer:3,000
Step-by-step explanation:
Answer:
3000
Step-by-step explanation:
300 x
10 100
300x100
30,000
30,000/10
3000
DROP DOWN AND GIMMIE TEN !
Answer:
Roger, Roger!
Answer: *drops. 1
Step-by-step explanation: that's all I can do
Function A and Function B are linear functions. Compare the two functions and choose all that are correct. Can someone help?
Answer:
(b) and (c) are true
Step-by-step explanation:
Given
Function A and B
First, calculate the slope of A
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{24 - -21}{8- -7}[/tex]
[tex]m = \frac{45}{15}[/tex]
[tex]m =3[/tex]
The equation of function A is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 3(x - 8) + 24[/tex]
[tex]y = 3x - 24 + 24[/tex]
[tex]y = 3x[/tex]
The general form of a function is:
[tex]y = mx + b[/tex]
Where [tex]m = slope[/tex] and [tex]b = y\ intercept.[/tex]
This implies that:
[tex]Slope = 3[/tex]
[tex]Y\ intercept = 0[/tex]
For function B:
[tex]y = 4x - 3[/tex]
[tex]Slope = 4[/tex]
[tex]Y\ intercept = -3[/tex]
By comparison:
(b) and (c) are true
A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bucket is filled with 38 lb of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done in pulling the bucket to the top of the well. Show how to approximate the required work by a Riemann sum. (Let x be the height in feet above the bottom of the well. Enter xi* as xi.)
Answer:
Part A
The work done in pulling the bucket to the top of the well is 1,775 ft.·lb
Part B
By Reimann approximation, the work done is 2,130 ft.·lb
Step-by-step explanation:
Part A
The parameters of the filled bucket of water being pulled upwards are;
The mass of the bucket = 5 lb
The mass of the rope = Negligible
The mass of water that fills the bucket = 38 lb
The rate at which the bucket is pulled up = 1.5 ft./s
The rate at which the bucket leaks, l = 0.15 lb/s
The height in feet above the bottom of the well = x
Therefore, we have;
Height of the bucket, x = 1.5·t
The weight of the bucket after a given time, t, W = 38 - 0.15·t
The time it takes to pull the bucket to the top of the well, t = d/v = 50/1.5 = 100/3 s. = [tex]33.\overline3[/tex] s
We have;
[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {F} \, dx[/tex]
x = 1.5·t, F = Weight of the bucket, W = 38 - 0.15·t
[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {(38-0.15\cdot t)} \, \cdot 1.5\cdot dt = \int\limits^{t = 33.\overline 3}_{t = 0} {(57-0.225\cdot t)} \, dt[/tex]
[tex]W = [57\cdot t - 0.225 \cdot t^2]_0^{33.\overline 3}[/tex]
Therefore, we have;
W = (57 × [tex]33.\overline3[/tex] - (0.225/2) × [tex]33.\overline3[/tex]²) - 0 = 1,775 ft.·lb
The work done in pulling the bucket to the top of the well, W = 1,775 ft.·lb
Part B
By summing the areas of the rectangular areas on the graph, we have
W = 10 × 38 + 10 × (38 - 0.1×10) + 10 × (38 - 0.1 × 20) + 10 × (38 - 0.1 × 30) + 10 × (38 - 0.1 × 40) + 10 × (38 - 0.1 × 50) = 2,130
Therefore, by left Reimann approximation, the work done, W = 2,130 ft.·lb
(More precisely, we have;
The weight at the bottom, F₁ = 38 lb.
The weight at the top of the well, F₂ = 38 - 0.15 × 100/3 = 33
∴ F₂ = 33 lb.
The average weight, [tex]F_{average}[/tex] = (F₁ + F₂)/2 = (38 lb. + 33 lb.)/2 = 35.5 lb.
Therefore, the work done, [tex]F_{average}[/tex] × d = 35.5 lb × 50 ft. = 1,775 ft.lb
The work done, W = 1,775 ft.lb)
if p and q are two different prime numbers then L.C.M is,
pls someone answer this...
Answer:
p=10
Step-by-step explanation:
3p+10+5p=90
8p+10=90
8p=80
p=10
Answer:
p = 5
Step-by-step explanation:
Th angles are complimentary, meaning that they equal 90° if put together. This mean that you can set them equal to eachother.
3p + 10 = 5p
Subtract 3p from both sides.
10 = 2p
Divide both sides by 2.
p = 5
You can check you work by plugging in 5 for p.
3(5) + 10 = 5(5)
15 + 10 = 25
25 = 25
Therefore, p = 5.
Sorry if I'm wrong, but I hoped this helped. Have a great day/night!
When 2 dice are rolled, find the probability of getting a sum greater than 8.
Answer: 10/36
When a pair of fair dice are rolled , the total possible cases are (6 × 6) = 36. Out of these 36 cases the following 10 cases are favors(giving the sum > 8) for the happening of the event . These 10 cases are (3, 6), (4, 5), (4, 6),(5, 4), (5, 5), (5, 6) , (6, 3), (6, 4), (6, 5), & (6, 6)
Step-by-step explanation:
6×6=36 possible outcomes and only 15 possible outcomes summing 8 or more than 8.
Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.
Without performing the calculations, which expression equals the greatest value?
A)
2x (3-5)
B)
3x (
3-5)
)
5x (3-5)
D)
7x (3-5)
Graph x + 4y = 8.
identify the x intercept
step by step explanation
Answer:
(8,0)
Step-by-step explanation: