Answer:
[tex]2\ cm[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224= \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h[/tex]
[tex]As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel[/tex]
[tex]Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm[/tex]
Larissa plans to bake at most 10 loaves of bread. She makes x loaves of banana bread that sell for $1.25 each and y loaves of nut bread that sell for $1.50 each. She hopes to make at least $24 in sales. Write and graph a system of inequalities for this situation. What does the graph show?
Answer:
1) The system of inequalities are;
x × 1.25 + y × 1.5 ≥ 24
x + y ≤ 10
Please find attached the required graph of the two inequalities ,created with Microsoft Excel
2) The graph of inequality shows that Larissa cannot to make less than 10 loafs of bread and sell them for over $24 at the given prices of each loaf of bread
Step-by-step explanation:
1) The maximum number of loaves Larissa plans to make = 10
The price at which she sells each of x loaves of banana bread = $1.25
The price at which she sells each of y loaves of nut bread = $1.50
The total amount she hopes to make = $24
The system of inequalities are;
x × 1.25 + y × 1.5 ≥ 24
x + y ≤ 10
Making y the subject of both inequalities gives;
For the first inequality, we have,
y ≥ 24/1.5 - 1.25/1.5·x which gives;
y ≥ 16 - 5/6·x
For the second inequality, we have,
y ≤ 10 - x
Please find attached the required graph of the two inequalities
2) From the attached graph of inequality, created with Microsoft Excel, it shows that it is not possible for Larissa to make less than 10 loafs of bread and at the same time sell them for over $24 if the price of each banana bread is $1.25 and the price of each nut bread is $1.50.
Should be pretty easy to answer, I just need a refresher. I forgot how to solve for triangles...
Answer:
25.734
Step of explanation:
tanjent =opposite/adjacent
cosine =adjacent /hypotenuse
sine =opposite /hypotenuse
this use tangent because the opposite number is there and we want to find adjacent
so t =opposite /adjacent
tan25 °=12/ a
a=12/tan25
=25.734
modeled by the expression –2 • 4.
Answer:
-8
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Step-by-step explanation:
The sum of all angles in a triangle is always 180.
So we can set up an equation
3/2x+1/2x+x= 180
3/2+1/2x+2/2x=180
3x+1x+2x=360
6x=360
x=60
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
11,60,62
Hope this helps
Solve the equation for x and find the restrictions on the variable. Ax + bx = c
Answer:
x = c/(A + b)
A + b ≠ 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
FactoringStep-by-step explanation:
Step 1: Define
Ax + bx = c
Step 1: Solve for x
Factor: x(A + b) = cIsolate x: x = c/(A + b)We know that we cannot divide by 0, so A + b cannot equal 0.
2 of 6
Evaluate
(-32)°
Answer:
Step-by-step explanation:
Any number to the power of 0 (zero) is 1, so the answer is 1
To meet peak energy demand, an electric power cooperative buys back electricity generated locally. They pay #0.07 per solar-powered kWh (kilowatt-hour). How much money does a school make when it sells back 956 kWh to the cooperative?
Answer: #66.92
Step-by-step explanation:
Since the cooperative pays pay #0.07 per solar-powered kWh (kilowatt-hour), the amount that the school would make when it sells back 956 kWh to the cooperative would be calculated as:
= #0.07 × 956 kWh
= #66.92
Find the range of the data set represented by this box plot.
80 ,90 ,95 ,100 ,105 ,120 125 ,130 ,135 ,140 ,145 ,150 ,155,160
A. 80
B. 76
C. 40
D. 56
Answer fast plz!!
Answer: OK SooooOOooOOOoooo The answer is: Either 80, 76, 40, or 56
Step-by-step explanation:
plz answer!!! only if correct.
Answer:
90°Step-by-step explanation:
Sum of angles in triangle equals to 180°
∠R = 180° - (∠S + ∠T)∠R = 180° - (29° + 61°) = 180° - 90° = 90°how are angles of an equilateral triangle related?
Answer:
If the triangle is equilateral, then the triangle is also equiangular.
Step-by-step explanation:
Analyze the weather map in 2 to 3 complete sentences. Describe what the weather will be in Olympia, Washington, where a black arrow is pointing.
Please use these Key terms to explain why: weather front and pressure system.
Answer:
rainy
Step-by-step explanation:
because of the rain cloud is problye going to rain.
The temperature is 2 ∘F and drops to −15 ∘F overnight. Write and then evaluate a subtraction expression to determine the change in temperature.
Answer:
Expression: 2 - (-15)
17 degree change in temperature
Step-by-step explanation:
2 - (-15)
2 + 15
17
Find the sale price of the item. Round to two decimal places if necessary. Original price: $238.13 Markdown: 70% The sale price is $
pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due very soon!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$71.44
Step-by-step explanation:
what is 5x + 3y = 12 written in slope intercept form
Answer:
y=4-5/3x
Step-by-step explanation:
Rearrange and simplify.
can someone help me please serious people only
Answer:
Don't let people bring you down you got this
Step-by-step explanation:
8. 1/6 + (-7/9)
9. 11 5/7 + 8 1/7
10. 3/12 x 4/21
Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16+, where t is time in seconds. The height of a certain tower is 1092 feet. How long would it
take an object to fall to the ground from the top of the building?
seconds
(Round to two decimal places as needed.)
Answer:
I don't really know it but good luck!
ASAP plsss help quick
Answer:
1
Step-by-step explanation:
"18 less than the quotient of a number and -5 is at most -2"
Answer:
so......... what's the question?
Step-by-step explanation:
What is
[tex] 6 \frac{1}{3} \div \frac{1}{6} [/tex]
equal to?
options:
A. 6
B. 9
C. 12
D. 19
E. 38
Answer:
The answer is E, 38.
Step-by-step explanation:
6×1/3 can be written as 19/3.
Use the reciprocal of 1/6, which is 6, and multiply 19/3 and 6.
6 and 3 can be simplified with 2.
So: 19 × 2, which is 38.
Step-by-step explanation:
please it my steps to work on paper whorksheet
The test scores for 15 students are 72, 74, 74, 79, 82, 82, 82, 82, 86, 86, 86, 87, 87, 89, and 92. Find the mean of the data. Round your answer to two decimal places.
Answer:
82.67
Step-by-step explanation:
1240 divided by 15 = 82.66667
Plz if u would mark me as brainlest!
Use Pascal's triangle to find the coefficient of the third term in the expansion of (a + b)2.
Question 10 options:
A)
3
B)
1
C)
4
D)
2
Answer:
B
Step-by-step explanation:
(a+b)^2
using Pascal triangle
1 1
1 2 1
1 3 3 1
so the third term in the expansion of (a+b)^2
we use
1 2 1
a^2 + 2ab+b
hence the coefficient of third term is 1
option B is collect
Audrey and chase are 22.5 miles apart on a path when they start moving towards each other. Chase friends and a constant speed of 6 mph, in Audrey works at a constant speed of 3 mph. How long does it take onto chase and Audrey meet?
Answer:
4 is a great place to be your
Step-by-step explanation:
I am not it 4455rrfrt9999999999 forver rip juice wrld
Which values of a a,b, and c correctly complete the division?
1/4 divided by 5/6 = 1/a x b/c
Answer:
a=4, b=6 c=5
Step-by-step explanation:
Radius algebra question!
Answer:
1 inch
Step-by-step explanation:
[tex]r = \bigg(\frac{3V}{ \pi \: h} \bigg)^{ \frac{1}{2} } \\ \\ plug \: V = 5 \: and \: h \: = 4 \\ \\ r = \bigg(\frac{3 \times 5}{ 3.14 \times 4} \bigg)^{ \frac{1}{2} } \\ \\r = \bigg(\frac{15}{12.56} \bigg)^{ \frac{1}{2} } \\ \\r = \bigg(\frac{1500}{1256} \bigg)^{ \frac{1}{2} } \\ \\r = \bigg(1.19426752 \bigg)^{ \frac{1}{2} } \\ \\r = 1.09282547 \\ \\ r \approx 1 \: in[/tex]
7/4 rounded to the nearest hundredth.
Answer: 7.40
Step-by-step explanation:
since there is no number after 7 you gotta go backwards, so you have to turn it into a decimal
What is it will mark Brainliest
Answer: i don't really know this but i think it´s (3,4)
Step-by-step explanation:
Ashley had a summer lemonade stand where she sold small cups of lemonade f
or $1.25 and large
cups for $2.50. If Ashley sold a total of
155 cups of lemonade for $265, how ma
ny cups of each
type did she sell?
Answer:
$267.7
Step-by-step explanation:
If you have 5000 per 125 mcg and need 7140 how many mcg do you need?
Answer:
178.5mcg
Step-by-step explanation:
If you need 5000 per 125mcg, we can express it as;
5000 = 125mcg
To get the amount of mcg needed for 7140, we will say;
7140 = x mcg
Divide both expression
5000/7140 = 125/x
Cross multiply
5000x x= 7140 * 125
5000x = 892,500
x = 892,500/5000
x = 178.5
Hence the amount og mcg needed is 178.5mcg