Answer:
[tex]V=20.85\ m^3[/tex]
Step-by-step explanation:
Given that,
The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.
The diameter of the sphere is 3.5 m.
The height of the cylinder is 2 m
Height of the cylinder = Height of bowl− Radius of hemisphere
= 2 - (3.5/2)
= 0.25 m
The volume of the vessel is given by :
V = volume of hemispherical bowl + volume of cylinder
So,
[tex]V=\dfrac{2}{3}\pi r^3+\pi r^2 h\\\\V=\dfrac{2}{3}\times \dfrac{22}{7}\times (\dfrac{3.5}{2})^3+\dfrac{22}{7}\times (3.5)^2\times 0.25\\\\V=20.85\ m^3[/tex]
So, the volume of the vessel is [tex]20.85\ m^3[/tex].
Please Help. Given trapezoid ABCD, Prove ΔBEC ~ ΔDEA
Answer:
AAA (or AA)
Step-by-step explanation:
Prove ΔBEC ~ ΔDEA
(using three angles is unnecessary because you can just use Angle Angle to prove similarity)
First, m∠BCE = m∠EAD because of alternate interior angles.
Then, m∠ADE = m∠CBE because of alternate interior angles.
m∠BEC = m∠AED because of vertical angles
Thus, ΔBEC ~ ΔDEA because of Angle Angle Angle [AAA] (or AA if you only chose to use 2 angles)
In the adjoining figure, find the values of X and Y.
Answer:
x=5 cm,y=12 cm
Step-by-step explanation:
We are given that
RQ=3 m
PQ=4 cm
RP=x cm
RS=13 cm
SP=y cm
We know that Pythagoras theorem
[tex](Hypotenuse)^3=(base)^2+(perpendicular\;side)^2[/tex]
In right triangle RQP
Using Pythagoras theorem
[tex]RP^2=RQ^2+PQ^2[/tex]
Substitute the values
[tex]x^2=3^2+4^2[/tex]
[tex]x^2=9+16[/tex]
[tex]x^2=25[/tex]
[tex]x=\sqrt{25}=5[/tex]cm
Now,
In triangle RPS
[tex]RS^2=RP^2+SP^2[/tex]
[tex](13)^2=5^2+y^2[/tex]
[tex]169=25+y^2[/tex]
[tex]169-25=y^2[/tex]
[tex]144=y^2[/tex]
[tex]y=\sqrt{144}=12[/tex] cm
Spiral Review A chili cook-off has adult tickets a and child tickets C. A group of visitors buys 3 adult tickets and 2 child tickets and pays a total of $26.
Another group buys 5 adult tickets and 3 child tickets and pays $42. Write and solve a system of equations to find the price of each type of ticket.
Enter the correct answers in the boxes.
Equation 1:?
Equation 2:?
adult: $ 6
child: $ 4
I just need help on making equations
Equation 1 would be: 3a+2C
Equation 2 would be: 5a+3C
The system of equations are solved and the cost of adult ticket and child tickets are $ 6 and $ 4 respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the adult tickets be a
Let the child tickets be c
Group A buys 3 adult tickets and 2 child tickets and pays a total of $26
So , 3a + 2c = 26 be equation (1)
And , Group B buys 5 adult tickets and 3 child tickets and pays $42
So , 5a + 3c = 42 be equation (2)
On simplifying , we get
Multiply equation (1) by 5 and equation (2) by 3 , we get
15a + 10c = 130 be equation (3)
15a + 9c = 126 be equation (4)
Subtracting equation (4) from equation (3) , we get
c = $ 4
Therefore , the cost of child ticket is $ 4
Substituting the value of c in equation (1) , we get
3a + 2 ( 4 ) = 26
3a + 8 = 26
Subtracting 8 on both sides , we get
3a = 18
Divide by 3 on both sides , we get
a = $ 6
Therefore , the cost of adult ticket is $ 6
Hence , the system of equations are solved
To learn more about equations click :
https://brainly.com/question/19297665
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Anyone can help plewse! If you can’t read it please tell
Answer:
Look below! Branliest please!
Step-by-step explanation:
To find the volume, we multiply 12 by the height and then by 3.14. So for 1, we get 1*12 which equals 12, then we multiply that by 3.14 and we get 37.68. So we do that for all of them.
1*12*3.14 = 37.68
3*12*3.14 = 113.04
5*12*3.14 = 118.4
7*12*3.14 = 263.76
What does 3/4 mean in ordered pairs.
Answer:
Basically it is an x and y axis type of equation. The 3 could be how many steps to the right and the 4 could be how many steps forward.
Step-by-step explanation:
Start from the center of the grid which is called the origin and jump 3 times to the left. Then, you move 4 steps forward and then you have your ordered pair
If y varies directly with x, write an equation for the direct variation. Then find each value,
if y = 6 when x =30, find y when x = 15
Which expressions are equivalent to 3(x + 3y + 2x − y )?
3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y
Answer:
3(3x + 2y) and 9x + 6y
Step-by-step explanation:
3(x + 3y + 2x - y)
= 3 (x + 2x) + (3y - y)
= 3 (3x + 2y)
= (3 • 3x) + ( 3 • 2y)
= 9x + 6y
Pleaseeee helpppppppp
Answer:
B
Step-by-step explanation:
don't take my word for it
PLSSSSS
• Demand equation: 0.7x + y = 340
Supply equation: -1.5x + y = 320
1. Solve the system algebraically to determine the balance point between
supply and demand.
Answer:
Step-by-step explanation:
Subtract equation 2 from equation 1
.7x+y-(-1.5x+y)=340-320
.7x+y+1.5x-y=20
2.2x=20
x=100/11, then use this in either original equation to find y.
.7(100/11)+y=340
y=3670/11, so the balance point is
(100/11, 3670/11)
5
Which expressions are equivalent? Select all that apply.
A 3(x + 2) + 4x and 7x + 6
<
B 2(x + 3) + 2x and 4x + 3
C -2 + 4(x + 3) and 4x + 10
D 3x + 5(x-1) and 8x-5
E
5x - 2(x + 4) and 3x + 8
F
4 - 5(x + 2) and 5x-6
Answer:
A
Step-by-step explanation:
3(x+2)+4x=3x+6+4x=7x+6
The store price of an electronic gadget is $100. If the markup percent set by the store is 45%. Calculate the markup price set by the store on the electronic gadget.
Answer:
145$ is the markup price i think
Step-by-step explanation:
100$+ 45%=x
100/100%=1
45%*1=45
100$+45$= 145$
29
2
Solve the inequality
- +3>
W
a.
c.
W <3 or w > 6
w <3 or w > 9
W <0 or w > 6
W <0 or w > 9
b.
d.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2
w
+3>
29
w
3w+2
w
>
29
w
Let's find the critical points of the inequality.
3w+2
w
=
29
w
3w+2=29(Multiply both sides by w)
3w2+2w=29w(Multiply both sides by w)
3w2+2w−29w=29w−29w(Subtract 29w from both sides)3w2−27w=0
3w(w−9)=0(Factor left side of equation)
3w=0 or w−9=0(Set factors equal to 0)
w=0 or w=9
Check possible critical points.
w=0(Doesn't work in original equation)
w=9(Works in original equation)Answer:
w<0 or w>9
I need help with this problem-1 1/5 + (-3/5)
Answer:
-1 4/5
Step-by-step explanation:
HELPPPP!!! ITS DUE TODAY!!
Answer:
Step-by-step explanation:
2x+4y=82
x=41
y=20.5
hope this helps!
GYMNASTICSLOVE
PRONOUNS (SHE/THEY)
For every car you sell, you get a 6% commission. If your total sales for the month are $125, 650 , what is your commission ?
Answer:
=> 125,650 x 6% = $7,539
Step-by-step explanation:
What is y=2/3x + 4 writen in standard form ? Write using integer coefficients
Answer:
2/3x-y=-4
Step-by-step explanation:
Which expression is equivalent to (7^3)^-2 Please help
40 divided by 28 but I need the answer in decimal form thx and I need it asap
Answer:
1.429
Step-by-step explanation:
1.429
.............
PLEASE HELP ME PLEASE !!!!!
Answer:
y = 1.25x + 6
m = 1.25
b = 6
Step-by-step explanation:
pleas ehelp me with math aa
Answer:
D.
Step-by-step explanation:
If the triangle has one angle that is equal to 90 then it is a right triangle.
What is the value of x?
(2x + 5) = 27
Answer:
x=11
Step-by-step explanation:
2x+5-27
step 1 subtract 5 from each side
2x=22
step 2 divide each side by 2
x=11
Answer:
2x=27-5
2x=22
2x/2=22/2
x=11
6x1/4= ? (fractions)
3x2/3 = ?
Answer:
6*1/4 = 1 2/4 or 6/4
3*2/3 = 2 or 6/3
Step-by-step explanation:
0.77 m = how many cm
Answer:
77 cm
Step-by-step explanation:
Answer:
0.77 meters=77 centimeters.
Step-by-step explanation:
you have to multiply the length value by 100
i hope this helps. :)
About 80% of e-waste is shipped outside of the US. Which of the following statements about e-waste is false? A) E-waste is routinely shipped to China. B) Shipments are received by unprotected workers who break the shipments down, retrieve valuable materials, and reuse the materials. C) E-waste is shipped to countries under trade agreements. D) The cost of exporting e-waste is covered by the country accepting the waste.
Answer:
D)
Step-by-step explanation:
Right on Edge 2021
Answer:
D) The cost of exporting e-waste is covered by the country accepting the waste.
Step-by-step explanation:
edge :D
In a class, the ratio of girls : boys is 5:3.
What fraction of the class are boys?
please answer urgent , high points up for grabs , please give good explanation
Help please, Ill try to give branliest if it is right :)
Answer:
3x3= 9
9-3=6
3+3=6
Step-by-step explanation:
Jerry is saving his money. He started with $15.00. If he adds $10.00 to his savings
each month, how much will he have saved after 2.5 months?
Answer:
$40
Step-by-step explanation:
use y = mx + b
y = amount saved = ?
m = amount saved per week = $10
x = time (in months) saving = 2.5
b = money jerry started with = $15
plug in:
y = (10)(2.5)+15
y = $40
✨ Easy points for those who are good at finding slope ✨
( The question is “Which Graph Matches the Following Equation” )
Answer:
2nd one
Step-by-step explanation:
y=2x-1 meaning start off at -1 rise 2 run 1. not sure if that makes sense but yea the answer is the second one.
Jackson’s car was making a rumbling noise for two weeks. He decided to take it to the mechanic to get it checked out. To diagnose the problem, the mechanic tells Jackson that he charges a flat fee of $60 and $35 for each hour he spends trying to identify the problem.
A. Write a linear equation in y = mx+b form to represent the cost of getting Jackson’s car diagnosed.
B. Identify the slope and y-intercept, and what they mean in the context of the story.
C. Does this situation represent a proportional relationship? Why or why not?
Answer:
y=35x+60
slope-35 y intercept-60
proportional relationship
Step-by-step explanation:
Answer:
Step-by-step explanation:
y = 35x + 60
Slobe 35
y-intercept 60
The y-intercept is the start cost and the slope is how much it will go up per hour.
It is proportional because it is going up by 35 every hour
I need help on these ASAP
