Answer:
The height of the storage tank would be approximately 1.2 m.
Step-by-step explanation:
The cattle drink 3 cubic meters of water each day.
For 5 days,
the cattle would drink = 3 cubic meters x 5
= 15 cubic meters of water
Thus,
The volume of the storage tank = 15 cubic meters
But,
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h the height.
So that,
15 = [tex]\frac{22}{7}[/tex] x [tex]2^{2}[/tex] x h
15 = [tex]\frac{22}{7}[/tex] x 4 x h
15 = 12.57h
h = [tex]\frac{15}{12.57}[/tex]
= 1.1933
h = 1.2 m
The height of the storage tank would be approximately 1.2 m.
Sac had a rope that was 15 feet long. He cut it into three pieces. The first piece was 3.57 feet longer than the second piece. The third piece was 2.97 feet longer than the second piece. How long was the third piece of rope?
Answer:
5.79 feet
Step-by-step explanation:
Let us represent
First piece = x
Second piece = y
Third piece = z
Sac had a rope that was 15 feet long.
x + y + z = 15
He cut it into three pieces.
The first piece was 3.57 feet longer than the second piece.
x = 3.57 + y
The third piece was 2.97 feet longer than the second piece.
z = 2.97 + y
How long was the third piece of rope?
x + y + z = 15
3.57 + y + y + 2.97 + y = 15
3y + 6.54 = 15
3y = 15 - 6.54
3y = 8.46
y = 8.46/3
y = 2.82 feet
Therefore, the length of the third piece z = 2.97 + y
z = 2.82 + 2.97
z = 5.79 feet
convert (-5√3,0) into polar form in radians in terms of π over the interval 0≤theta<2π
Answer:
z = 5√3(cos 0 + isin0)
Step-by-step explanation:
Convert (-5√3,0) into polar form in radians in terms of π over the interval 0≤theta<2π
The rectangular form is expressed as z = -5√3 + 0i
z = √(-5√3)² + 0²
z = √(25(3))
z = √75
z = 5√3
Get the argument
theta = tan^-1 0/-5√3
theta = tan^-10
theta = 0 degrees
Hence the polar form is expressed as z = r(cos theta + i sintheta)
z = 5√3(cos 0 + isin0)
15x^2 + 41x + 28
STEP BY STEP ANSWER PLSSS
Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2 +41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).
(15x^2 +20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
Answer:
253+41x
Step-by-step explanation:
first evaluate the power of 15
then add the number 225+28
then the answer will be 253+41x
The volume of a cone is 300 cubic
centimeters. A cylinder has the same radius
and height as the cone. What is the volume
of the cylinder?
x – 18 = 96
x = [a]
Uhh plz help
Which unit of mesurement is used to express distance on a map in Spanish speaking countries
x + 3y = 2
-x + 2y = 3
Can somebody help me?
On Sunday morning, 4 1/2 crates of grapes are delivered to thee grocery store. 2/5 of the grapes in each crates are green grapes. How many crates would it take to deliver only the green grapes?
Answer: 1 4/5 crates
Step-by-step explanation:
From the question, we are informed that 4 1/2 crates of grapes are delivered to a grocery store and that 2/5 of the grapes in each crates are green grapes.
The number of crates that it would take to deliver only the green grapes would be:
= 2/5 × 4 1/2
= 2/5 × 9/2
= 9/5
= 1 4/5 crates
Evaluate 8+3e8+3e8, plus, 3, e when e=2e=2e, equals, 2.
Answer:
yes that is right
Step-by-step explanation:
Find the area of the figure.
22;
yd
21 syd
The area of the figure is
lyd?
Answer:
area = 462
Step-by-step explanation:
Mike is mixing paint for his walls. He mixes 1/6 gallon blue paint and 5/9 gallon green paint in a large container. What fraction represents the total amount of paint Mike mixes? The total amount of paint Mike mixes is gallon(s).
Answer:
13/18
Step-by-step explanation:
Mike is mixing paints for his walls
He mixes 1/6 gallons of blue paint
He also mixes 5/9 gallons of green paint
Therefore the total amount of paint mixed can be calculated as follows
1/6 + 5/9
= 39/54
= 13/18
-12s - 48 = -48
Solve for s
Answer:
s = 0
Step-by-step explanation:
-12s - 48 = -48
-12s = 0
s = 0
A blank is a fraction with a denominator of one
Answer:
Whole Number
Step-by-step explanation:
Answer:
A whole is a fraction with the denominator of one.
Step-by-step explanation:
Sam has a mass of 80 kg. His body contains 0.36 kg of potassium. What percent of Sam’s
body is potassium?
Answer:
0.45 percent
Step-by-step explanation:
0.36 divided by 80 and then move decimal 2 places to the right
Answer:
0.45
Step-by-step explanation:
what is 28/10 as a proper fraction
Answer:
Step-by-step explanation:
28/10 as a proper fraction.
28/10 is an improper fraction so you have to turn it into a proper fraction.
To do this divide the numerator (top figure) by 10 (the denominator) which equals 2.8 so to put it as a proper fraction you look at the whole number in 2.8 which is the 2 and keep the number after the decimal point as a fraction over the 10.
The answer would be 2 8/10
Lisa purchased a $30.00 gift for a birthday party. She uses a coupon that offers 30% off.
How much will Lisa spend on the gift after using the coupon?
A. $15.00 B. $21.00
C. $58.50
Answer:
B. $21.00
Step-by-step explanation:
The difference is $9.
the answer is B.21.00 :)
A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees. How far is the corner pocket from where the cue initially struck the ball?
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm
I need help part d of this question
Answer:
D is 50,230,000,000
Step-by-step explanation:
explanation
510,000,000
9,600,000,000
244,000
50,230,000,000
what is the measure of angle DEF.
Answer:
DEF = 31.8
Step-by-step explanation:
90 - 58.2 = 31.8
Answer:
Angle DEF = 31.8°
Step-by-step explanation:
The complete angle is a right angle, or 90° angle. To find DEF, you can just do 90° - 58.2° = 31.8°
What is the slope between the two points (8, -2) and (-7, 10)?
Answer:
slope ={10--2}/(-7-8)=12/-15=-4/5
The mean of 6, 8, x + 2, 10, 2x - 1, and 2 is 9. Find the value of x and also the value of the observation in the data.
Answer:
x = 9
Number of observations = 6
Sum of observations = 54
Step-by-step explanation:
Number of observations, n = 6
Mean = ΣX / n
(6 + 8 + x + 2 + 10 + 2x - 1 + 2) / 6 = 9
(27 + 3x) / 6 = 9
27 + 3x = 6 * 9
27 + 3x = 54
3x = 54 - 27
3x = 27
x = 27 / 3
x = 9
BRAINLIST!! Look at the inequality graphed on the number line below.
This inequality has
One solution at x = 3
Seven solutions
Three solutions
Eight Solutions
Infinity Solutions
Answer:
I think infinite since it goes on past these numbers.
Step-by-step explanation:
Answer:
Infinity solutions
Step-by-step explanation:
This inequality has infinite solutions because the number line goes from 3 to infinity. this means that there is an uncountable number of solution which means the answer to this question is E.
please help i will make brainleist if your correct also pls show answer
Answer:
Step-by-step explanation:
1.
6 * 6 = 36
6 * 6 / 2 = 18
4(18) = 72 (4 triangles)
SA = 36 + 72 = 108 in^2
2.
11 * 4.5 = 49.5
2(49.5) = 99 (2 flaps)
7 * 4.5 = 31.5
2(31.5) = 63 (2 flaps)
11 * 7 = 77
2(77) = 154 (2 flaps)
SA = 99 + 63 + 154 = 316 in^2
3.
25 * 25 = 625
6(625) = 3750 (6 squares)
SA = 3750 ft^2
4.
40 * 60 = 2400
3(2400) = 7200 (3 flaps)
25 * 40 /2 = 500
2(500) = 1000 (2 flaps)
SA = 7200 + 1000 = 8200 cm^2
5.
15 * 9 = 135
3(135) = 405 (3 flaps)
8 * 9 /2 = 36
2(36) = 72 (2 flaps)
SA = 405 + 72 = 477 in^2
6.
9 * 12 = 108
10 * 9 /2 = 45
2(45) = 90 (2 flaps)
12 * 10 /2 = 60
2(60) = 120 (2 flaps)
SA = 108 + 90 + 120 = 318 mm^2
How many atoms of element X with one valence electron will combine with one oxygen atom?
A.) 2
B.) 1
C.) 3
D.) 5
Herman buys a mountain bike priced at $525.90 If the sales tax is 10%,what will be the total cost including tax?
Answer:
$578.49
Step-by-step explanation:
$525.90×0.1=$52.59
$525.90+$52.59=$578.49
The perimeter of the shape is 25.71cm
Calculate the value of the radius A take pi to be 3.142
Answer:
Step-by-step explanation:
2 [tex]\pi[/tex] r=25.71
6.284r= 25.71 (divide by 8.284 on both sides)
r=4.09cm
solve for x
(3x-1)
71
Answer:
3x+1=71
3x=71+1
3x=72
x=24
Solve the compound inequality
3t-8/5 and 4-t<-7
Answer: -2.8
Step-by-step explanation:
3t-(8/5) * 4-t < -7
(15t-8)/5 * 4-t < -7
((15t-8)(4-t))/5 < -7
(15t^2)-28t-32< -7
(15t^2)-28t-32-7< 0
(15t^2)-28t-39< 0
Using the quadratic/almighty formula
t= (-b +- ((b^2)-4ac)^(1/2)/2a)
a=15, b=-28, c=-39
t= (-(28) +- (((-28)^2)-4(15)(-39))^(1/2))/2(15))
t= -2.8 or t= 0.9
Since
t<0, then t= -2.8
Its not a quiz/test its homework thats due in a bit :)
Just to clear any misunderstandings that might arise
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}} }: [/tex]
Coordinates of E = ( -3 , 2 )Coordinates of H = ( 1 , -1 )[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Midpoint of EHLet E ( -3 , 2 ) be ( x₁ , y₁ ) & H ( 1 , -1 ) be ( x₂ , y₂ )
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \sf{Midpoint = ( \frac{x_{1} + x_{2}}{2} \: , \frac{ y_{1} + y_{2}}{2} )}[/tex]
⟶ [tex] \sf{( \frac{-3 + 1}{2} \: , \frac{2 + ( - 1)}{2} )}[/tex]
⟶ [tex] \sf{( \frac{-2}{2} \:, \frac{2 - 1}{2} )}[/tex]
⟶ [tex] \sf{( -1 \: ,\frac{1}{2} )}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{(-1 \: , \: \frac{1}{2} )}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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IF m power n is equal to 32 wher m and n are natural numbers then find the value of n power m
Answer:
[tex]n^m = 5^2[/tex]
Step-by-step explanation:
Given
[tex]m^n = 32[/tex]
Required
Find [tex]n^m[/tex]
[tex]m^n = 32[/tex]
Express 32 as an exponent
[tex]m^n = 2^5[/tex]
By comparison:
[tex]m = 2[/tex]
[tex]n = 5[/tex]
So:
[tex]n^m = 5^2[/tex]