Answer:
83,749 bottles
Step-by-step explanation:
Each bottle contain = 355ml
Total water need to pack = 29,730,895 ml
So, we can calculate the number of bottles by using following formula,
Number of bottles required = Total water ÷ Each bottle contain
by putting the value, we get
Number of bottles required = 29,730,895 ÷ 355
= 83,749
Hence, total number of bottles required is 83,749.
The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway map of the city. The team hotel is at point (3, 4) and the stadium is at point (7, 1). The map shows a rest stop halfway between the hotel and the stadium. What are the coordinates of the rest stop? What is the approximate distance between the hotel and the stadium? (One unit is approximately equal to 6.4 miles.)
Answer:
The coordinate of the rest stop is: [tex](5,2.5)[/tex]
The distance between the hotel and the stadium is 32 miles
Step-by-step explanation:
Given
[tex](x_1,y_1) = (3,4)[/tex] --- Team hotel
[tex](x_2,y_2) = (7,1)[/tex] --- Stadium
Solving (a): The coordinates of the rest stop
The rest stop is at half way;
So, the coordinate is:
[tex](x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]
This gives:
[tex](x,y) = \frac{1}{2}(3+7,4+1)[/tex]
[tex](x,y) = \frac{1}{2}(10,5)[/tex]
Open bracket
[tex](x,y) = (5,2.5)[/tex]
Solving (b): Distance between the hotel and the stadium
We have:
[tex](x_1,y_1) = (3,4)[/tex] --- Team hotel
[tex](x_2,y_2) = (7,1)[/tex] --- Stadium
The distance (d) is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]d = \sqrt{(3 - 7)^2 + (4 - 1)^2}[/tex]
[tex]d = \sqrt{(-4)^2 + 3^2}[/tex]
[tex]d = \sqrt{16 + 9}[/tex]
[tex]d = \sqrt{25}[/tex]
[tex]d =5[/tex]
From the question, we have:
[tex]1\ unit = 6.4\ miles[/tex]
So:
[tex]d =5 * 6.4\ miles[/tex]
[tex]d =32\ miles[/tex]
if 9x × 3x+1 = 2187, what is the value of x
Answer:
1093/6
Step-by-step explanation:
9x + 3x + 1 = 2187
12x + 1 = 2187
12x = 2187 - 1 = 2186
12x = 2186
x = 2186/12 = 1093/6
Hope u understand
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Imani is a scientist working with a cylindrical beaker. The base of the right cylinder has a diameter of 19 cm. She fills the
beaker with 2256.254 Cms of an acid. Approximately how high did the acid fill up the beaker?
Answer:
7.96 cm
Step-by-step explanation:
radius of bottom: 19/2 = 9.5
area of bottom = pi * r^2 = 283.53
height * base area = volume
A swimmer covers 180m in 20 seconds. How many metres does she swim in one second?
Answer:
She swims 9m in one second
Step-by-step explanation:
how is 2/5 + 3/5 = 1
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
= 2/5 + 3/5 = 5/5 = 1(When you simplify both numbers, you get 1)
Hope it helps!
Brainliest pls!
Follow me! :)
Imagine cutting up a pizza into 5 slices
If you take 2 slices, then you take 2 out of the 5, so the fractional amount you took is 2/5 of the full pizza.
If your friend takes 3 slices, then she or he takes 3/5 of the full pizza
Adding the two fractional amounts should get us back to 1 full pizza, which is why 2/5+3/5 = 1.
-----------
We could say this:
2/5 + 3/5 = (2+3)/5 = 5/5 = 1
Dividing any number over itself, as long it's not zero, always leads to 1.
So that's why 5/5 = 1.
ASAP NEED HELP PLEASE
Answer:
B
line n has slope equal to zero
Help me with this please
The solution to the quadratic equation x² - 4x + 1 = 0 is x = ( 4 ±√12 ) / 2
What is the solution to the quadratic equation?A quadratic equation in its standard form is expressed as;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given the quadratic equation in the question;
x² - 4x + 1 = 0
a = 1b = -4c = 1We substitute this values into the quadratic formula above and solve for x.
x = (-b±√(b² - 4ac)) / (2a)
x = ( -(-4) ±√( (-4)² - ( 4 × 1 × 1)) / (2 × 1)
x = ( 4 ±√( 16 - 4) ) / (2)
x = ( 4 ±√12 ) / 2
Therefore, ( 4 ±√12 ) / 2 is the solution to the equation.
Option C) ( 4 ±√12 ) / 2 is the correct answer.
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Find (a) the circumference and (b) the area of the circle. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest hundredth, if necessary.
A circle with radius of 1 meter.
(a) circumference: about
m
(b) area: about
m²
Answer:
[tex]circumference = 2 \pi r = 2 \times 3.14 \ times 1 = 6.28m\\\\Area = \pi r^2 = 3.14 \times 1 \times 1 = 3.14m^2[/tex]
The circumference of the circle is, 6.28 meter.
And, The area of circle is, 3.14 meters²
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A circle with radius of 1 meter.
Now, We know that;
The circumference of the circle = 2πr
Hence, We get;
The circumference of the circle is,
⇒ 2 × 3.14 × 1
⇒ 6.28 meter
And, The area of circle is,
⇒ Area = πr²
⇒ Area = 3.14 × 1²
⇒ Area = 3.14 meters²
Thus, The circumference of the circle is, 6.28 meter.
And, The area of circle is, 3.14 meters²
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William discovers that the number of nuts in a bag of cashews is normally distributed with mean 42 and standard deviation 4. If he buys 200 bags, how many of them can he expect to contain fewer than 34 nuts?
Answer:
4.56, so he should expect between 4 and 5 of them to contain fewer than 34 nuts.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 42 and standard deviation 4.
This means that [tex]\mu = 42, \sigma = 4[/tex]
Proportion with fewer than 34 nuts:
p-value of Z when X = 34. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{34 - 42}{4}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
Out of 200 bags:
0.0228*200 = 4.56.
4.56, so he should expect between 4 and 5 of them to contain fewer than 34 nuts.
This is kind of far fetched but does anyone have an idea of how to find elevation using cos tan and sin ?
Answer:
Step-by-step explanation:
Use right triangle trig and SohCahToa. Elevation could either mean the height of something or it could refer to an angle of elevation. Either way, these ratios can help you. Do you have an actual question?
HURRY WILL GIVE BRAINLIEST (if correct)
How many edges does the figure have?
A. 3
B. 4
C. 5
D. 6
Answer:
I think 6 I don't see it being anything other than that I can't even think right now that's crazy
Answer:
4
One at the ap-ex, and 3 on the side. A regular triangle has 3 sides, and since this is a third dimension shape, there is one at the top.
Use the diagram of the right triangle above and round your answer to the nearest hundredth.
If Measure of angle B = 60 degreesº and a = 10 meters, find b.
Answer:
awnser c
Step-by-step explanation:
Pls show your work to answer the question.
Answer:
∠ EDC = 55°
Step-by-step explanation:
Since Δ ADE is isosceles then the 2 base angles are congruent , then
∠ EDA = [tex]\frac{180-20}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80°
Similarly for Δ BCD
∠ CDB = [tex]\frac{180-90}{2}[/tex] = [tex]\frac{90}{2}[/tex] = 45°
The 3 angles on AB sum to 180° , that is
80° + ∠ EDC + 45° = 180°
∠ EDC + 125° = 180° ( subtract 125° from both sides )
∠ EDC = 55°
PLEASE I NEEED HELP!!! YOU DONT HAVE TO AWNSER NUMBER 6
Answer:
6942-8.7 or 26/3-3.5 or -7/2 What is 5.88 divided by -4
Answer:
-1.47
Step-by-step explanation:
5.88/-4= -1.47
(free point) hey guys i have everything caught up but in science i have a 96 but a missing project. projects a worth 80 percent of your grade will i still pass? today’s the last day
Answer:
Just do it to your best ability
Step-by-step explanation:
You should just do it because it could still make your grade look poor so it should be good for future you as youll be looked upon as a better student
boy i suck at geometry fr can someone help me
Answer:
The measure of Angle G is 41
Step-by-step explanation:
We know that in a parallelogram, opposite angles are congruent, therefore let's solve for x-value first;
3x + 11 = 5x - 9
11 = 5x - 3x - 9
11 = 2x - 9
11 + 9 = 2x
20 = 2x
20/2 = x
10 = x
Now that we have x-value, we can substitute it in the equation for Angle G to find it's angle measure;
5(10) - 9 = ∠G
50 - 9 = ∠G
41 = ∠G
So the final answer = The measure of Angle G is 41
Hope this helps!
i give u brainliest if u answer
Answer: B & D
Step-by-step explanation:
find the value of X. Round to the nearest tenth. Show or explain your answer.Please I need this answered ASAP.
Answer:
c=21.6
Step-by-step explanation:
First, find the last angle of the triangle.
The sum of all the angles in a triangle is 180 degrees.
A+90+37=180
A=53
Now find x
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(B)=adj/hyp
rewrite as
c=a/cos(B)
c=17.3/cos(37)
c=21.66194688
Please help!!! Will give brainliest!
Answer:
im pretty sure its a but i could be wrong ✋
In triangle ABC, a=31 , b=22 , c=18. Identify m∠A rounded to the nearest degree.
Answer:
101
Step-by-step explanation:
According to the Law of Cosines, for any △ABC with side lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2accosB; and c2=a2+b2−2abcosC
.
The Law of Cosines can be used because all three side lentghs are known.
Set up the equation for the Law of Cosines:
a2=b2+c2−2bccosA
Substitute the known values into the Law of Cosines:
312=222+182−2(22)(18)cosA
Square the values and multiply:
961=484+324−792cosA
Add:
961=808−792cosA
Subtract 808
from both sides:
153=−792cosA
Divide both sides by −792
:
153−792=cosA
According to this equation m∠A
is equal to the inverse cosine function of −153792
. Write this:
m∠A=cos−1(−153792)
Calculate the value of the inverse cosine −153792
on a calculator:
m∠A≈101°
Therefore, m∠A≈101°
.
Answer:
101
Step-by-step explanation:
calculate using the law of cosines
hope that helps!
.Answer only the second question and show steps
Answer:
Step-by-step explanation:
Perimeter is found by adding all the sides of a figure together. We have 2 lengths that are 10.5 long, and 2 widths that are 8.75 wide. Adding these together:
10.5 + 10.5 + 8.75 + 8.75 = 38.5 cm
this answer for # 2 question
The side lengths of a 45-45-90 triangle are in the ratio 1 : 1: V2. What is tan 45°?
A. V2/2
B. 1/2
C. V2
D. 1
Answer:
B. 1/2
Step-by-step explanation:
divide/
The value of measure of tan 45 is B. 1/2
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We are given that side lengths of a 45-45-90 triangle are in the ratio 1 : 1: √2
A 45-45-90 triangle is a special case of a right triangle in which both legs we have the same value and the hypothenuse is h.
By the Pythagorean Theorem:
Tan 45 = pythagoras/ base
Tan 45 = 1/2
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At a lunch shop, a hamburger costs $2.99 and a hot dog costs $2.50.
How much more does a hamburger cost than a hot dog?
To find the difference subtract the price of the hot dog from the price of the hamburger:
2.99 - 2.50 = 0.49
The hamburger cost $0.49 more than the hot dog.
Can someone please help me with my hw.
Answer:
The answer is 1,440
Step-by-step explanation:
Answer:
1, 440Step-by-step explanation:
god bless
from philippines
A test was given to 120 students, and the scores approximated a normal distribution If
the mean score was 72 with a standard deviation of 7, approximately what percent of the
scores were 65 or higher?
Answer:
84.13% aka. 101/120 students
Step-by-step explanation:
P(X>65) = normalcdf(65,100,72,7) = 0.8413130544 ≈ 0.8413 ≈ 84.13%
Therefore, about 84.13% of the scores were 65 or higher, meaning that about 101 students got a score of 65 or higher.
84% of students have a score of 65 or higher.
What is Normal Distribution?'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'
According to the given problem,
For this sum, the mean and standard deviation are mentioned.
Mean = 72
S.D = 7
We will be using the bell curve of normal distribution for solving this sum.
Area under the curve that represents more than 65:
= 34% + 34% + 13.50% + 2.35% + 0.15%
= 84%
Hence, we can conclude that 84% of the scores were 65 or higher.
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Oscar is buying soil for his plants. He needs to fill one pot with 8 cups of soil and another pot
with 3 gallons of soil. If the price of soil is $2.50 per quart, how much, in dollars, will he pay in
all? You may use the conversions to help you answer the question.
Answer:
10
Step-by-step explanation:
2.50 4 times
Answer: 10
Step-by-step explanation:
What is the range of the function graphed below?
Answer:
C.
[tex] - \infty < y < \infty [/tex]
Parallelogram
15 in
18 in
Area:
Answer:
270
Step-by-step explanation:
brianliest?
Poor jocelyn! She was running a race and at the 9 1/4 marker, she stumbled and twisted her ankle. If she was only 3/8 of the way, how long was the race?
Answer: 24 2/3
Step-by-step explanation:
Let the total distance of the race be represented by x.
Therefore, based on the information given, we can form an equation which will be:
3/8 of x = 9 1/4
3/8x = 9 1/4
0.375x = 9.25
x = 9.25/0.375
x = 24.67
The distance of the race is 24 2/3