Answer:
x = [tex]\frac{-1 ±\sqrt{5} }{2}[/tex]
Step-by-step explanation:
Ignore the A that doesn't belong in the answer
A fish-tank has a length of 27 centimeters, a width of 21 centimeters and a depth of 16 centimeters. Find the volume of the fish-tank.
Answer:
To find the volume of the fish tank, we will need to multiply the height, the length, and the width of the fish tank. So, 21 x 27 x 16 = 9072 cm
Answer:
9027 cm^3
Step-by-step explanation:
V= L*W*H
V=27cm*21cm*16cm
V=567*16
V=9072 cm^3
The cm is cubed because you are also multiplying cm*cm*cm So, it would be cm cubed or cm^3
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Step-by-step explanation:
The area of a square is given by :
A = a²
Where
a is the side of the square
For square A, Area = 64 sq units
64 = a²
a = 8 units
For square B, Area = 30 sq units
30 = a²
a = [tex]\sqrt{30}[/tex] units
For square C, Side length = 14 units
A = 14²
A = 196 sq units
For square D, Side length = [tex]\sqrt{30}[/tex] units
A = [tex](\sqrt{30})^2[/tex]²
A = 30 sq units
Hence, this is the required solution.
what are the zeros of the function f(x)=x^2-3x?
What is the simple interest on $7430 invested for 3 years at 5% per annum simple interest?
Step-by-step explanation:
Simple interest=principal× time× rate/100
=7430×3×5/100
=1114.5
Answer:
114.5
Step-by-step explanation:
A bag contains 60 marbles of different colours. The probability of randomly selecting a red marble is 5/12. How many red marbles does the bag contain?
Answer:
25 red marbles
I really need help please
Answer:
-2/3
Step-by-step explanation:
The slope would be negative 2 over 3
help with these 3 I did all the other questions of the assignment, these are confusing ASAP
Answers:
Problem 7) 25.2 feetProblem 8) Angle = 52 degrees; Distance = 14.3 feetProblem 9) DE = 22, EC = 10, BC = 20=====================================================
Explanation:
The diagrams for problems 7 and 8 are shown below.
------------------------------------
Problem 7
Apply the tangent ratio to find that...
tan(angle) = opposite/adjacent
tan(42) = x/28
28*tan(42) = x
x = 28*tan(42)
x = 25.2113132403396
x = 25.2
Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1 as a result.
------------------------------------
Problem 8, part 1
To find the angle y, we must use the sine ratio
sin(angle) = opposite/hypotenuse
sin(y) = 18/23
y = arcsin(18/23)
y = 51.5000495907521
y = 52 degrees approximately
------------------------------------
Problem 8, part 2
We can use the pythagorean theorem to find the missing side x
a^2+b^2 = c^2
18^2+x^2 = 23^2
324+x^2 = 529
x^2 = 529-324
x^2 = 205
x = sqrt(205)
x = 14.3178210632763
x = 14.3
Or alternatively, we can apply the tangent ratio on the angle y we found earlier to help find x
tan(angle) = opposite/adjacent
tan(y) = 18/x
tan(51.50004959) = 18/x
x*tan(51.50004959) = 18
x = 18/tan(51.50004959)
x = 14.3178210636621
x = 14.3
------------------------------------
Problem 9
The double tickmarks show that BE = EC = 10. That means BC = BE+EC = 10+10 = 20.
Since we have similar triangles, we can solve for x like so
DE/AC = BE/BC
x/44 = 10/20
20x = 44*10
20x = 440
x = 440/20
x = 22
So DE is 22 units long. Note how this is half as long as the side AC = 44.
if a recipe calls for 0.8 cups of water per cup of water per 5/8 cups of milk. What is the unit rate per cup of milk ( with correct labels )
Answer: 1.28 cups of water per cup of milk
Step-by-step explanation:
0.8 divided by 5/8 equals 1.28
verified by my teacher :)
7
Mr Johns needs four different lengths of pipe.
2.8 m
4.1 m
0.4 m
The pipe costs £1.34 per metre.
Work out the total cost of the pipes Mr Johns needs to buy.
Round your answer to the nearest penny.
Ict
ance is
Answer:
something.....................
plsss helppp i have 1hr left
What is the value of x in the equation *x - y = 30, when y = 15?
O 4
8
O 80
O 200
Answer:
Is there an option of 45
Step-by-step explanation:
x-15=30
so +15
x=45
helppppppp pllzzzzzzzzzzzz
Answer:
D 1/25
Step-by-step explanation:
5 multiplied by the negative second power is .04, .04 times 25 equals 1.
Find the value of x.
Answer:
Step-by-step explanation:
Vertically opposite angles are equal
8x + 2 = 7x + 11
Subtract 2 from both sides
8x = 7x + 11 - 2
8x = 7x + 9
Subtract 7x from both sides
8x - 7x = 9
x = 9
A mobile set is sold for Rs 6,630 after a discount of 15%. Find the marked price of the mobile set.
Answer:
MP = RS 7,800
Step-by-step explanation:
Let
Marked price = MP
MP x (100 – 15) / 100 = Rs 6,630
MP × (85)/100 = Rs 6,630
MP = Rs 6,630 ÷ 85/100
MP = 6,630 × 100/85
MP = 663,000/85
MP = 7,800
MP = RS 7,800
Can someone help me with these problems and explain them as well please
Answer:
b=112°
Step-by-step explanation:
two complementary angles
b=180°-68°=112°
sum of 2 angles is
x= 35°+25°=60°
Answer:
3. b=112
4. x = 60
Step-by-step explanation:
3.
b is equal to 112 since 68+b will be equal to a supplementary angle; an angle that adds up to 180. 180-68 is equal to 112.
4.
35+25 = 60, therefore x = 60.
Help me find the answer for this Acellus question! Find CD.
Answer:
DE = AE - AD
=> DE = 18.5 - 15.5 = 3
CD = CE - DE = 8 - 3 = 5
Help ASAP. I will give brainliest
Answer:
Step-by-step explanation:
Hope this helps u !!
x/3 + 1/1
pls answer if you know
Answer:
[tex]\frac{x}{3} + \frac{1}{1} = \frac{x+3}{3}[/tex]
Step-by-step explanation:
[tex]\frac{x}{3} + \frac{1}{1} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ LCM \ of \ 1 , 3 = 3 \ ]\\\\= \frac{x}{3} + \frac{1 \times 3}{1 \times 3} \\\\= \frac{x}{3} + \frac{3}{3}\\\\=\frac{x+ 3}{3} \\\\[/tex]
Answer:
[tex] \frac{x + 3}{3} [/tex]Step-by-step explanation:
[tex] \frac{x}{3} + \frac{1}{1} \times \frac{3}{3}[/tex][tex] \frac{x }{3} + \frac{3}{3} [/tex][tex] \frac{x + 3}{3} [/tex]Hope it is helpful....PLEASE HELP ME- i don't know what to do
Answer:
5x-20=3x(alternate angle)
5x-3x=20
2x=20
x=20/2
x=10
now ,
2y +4y+5x-20=180(sum of angles of a triangle)
6y+50-20=180
6y+30=180
6y=180-30=150
y=150/6
y=25
hope this will help
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
Answer:
What are the statements?
Step-by-step explanation:
You have to list the statements.
Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the. m=-16. What is the value of b?
Answer:
You wrote the question wrong...
m is not -16 it is -1/6 (that is a big difference)
y=mx+b
y=-1/6x+b
3 = -1/6(12) + b
3 = -2 + b
b=5
Step-by-step explanation:
I need help with 16-25 please
Simplify using only positive exponents
Answer:
16. 8/x
17. 8x
18. 4x⁴/y³ (not clear)
19. 16x^8
20. 256 R⁴
21. 64x^6
22. 81x^8
23. 1/ 3x
24. 5x
25. 1
20 BRLAIFAST
NELS
PURCHASE
BAUNE OF
CUT CARD IN
COUPS
50
Jimmy was given a gift card to
his favorite breakfast restaurant.
What equation represents the
balance of the gift card in
dollars, y, when x amount of
breakfast meals are purchased?
35
20
6
5
The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 23 students last week.
Answer:
[tex](a)\ y = -0.75x + 26[/tex]
[tex](b)\ y = 14.75[/tex]
Step-by-step explanation:
Given
See attachment for scatter plot
Required
Equation of the line of best fit
Pick any two points on the line
[tex](x_1,y_1) = (24,8)[/tex]
[tex](x_2,y_2) = (8,20)[/tex]
Calculate the slope (m)
[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
[tex]m =\frac{20-8}{8-24}[/tex]
[tex]m =\frac{12}{-16}[/tex]
[tex]m =-0.75[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = -0.75(x - 24) + 8[/tex]
[tex]y = -0.75x + 18 + 8[/tex]
[tex]y = -0.75x + 26[/tex]
Solving (b): y, when [tex]x = 15[/tex]
[tex]y = -0.75x + 26[/tex] becomes
[tex]y = -0.75*15 + 26[/tex]
[tex]y = -11.25 + 26[/tex]
[tex]y = 14.75[/tex]
Your purchase a T-shirt with a label pre-tax price of $17 the local sale price rate is 5% what is your final cost including tax
Answer: $17.85
Step-by-step explanation:
The tax on the T-shirt is 5% and the price is $17.
To find the after-tax cost, first find the tax amount:
= 5% * 17
= $0.85
Then add this tax amount to the price to find the after-tax amount:
= 17 + 0.85
= $17.85
Write this percentage as a fraction in its simplest form.
30%
Answer:
30/100
Step-by-step explanation:
30% as a fraction is 3/10; In simplest form is 30% = 30/100.
After a congruence transformation, how would the perimeter of the triangle be?
round to the nearest whole number than add 4.208 + 2.482
4.208 + 2.482= 6.69 so rounding that would be 7
4.208 + 2.482 = 6.69
When we round it to the nearest, it becomes 7.
Hope it helps you..
Please help I put 74 points there is an image
Answer:
x = 37 y = 27
Step-by-step explanation:
x = y + 10
x + y = 64
y + 10 + y = 64
y = 27
64 - 27 = 37
Answer:
What coatside dad said
Step-by-step explanation:
Les is measuring the border of her bulletin board. She measures around the entire outside of the bulletin board and finds the distance is 32 units.
Which measurement does 322 units represent?
Mirror the speed of 16.8 m/s Olympian ran the 100 m dash in 9.6 seconds how much faster was Sarah the cheetah speed to the nearest 10th of a meter per second
Answer:
6.4 meters per second
Step-by-step explanation:
Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second?
0.9 meters per second
1.6 meters per second
6.4 meters per second
10.4 meters per second
Speed = distance / time
Olympian's speed = 100 / 9.6 = 10.4 meters per second
Sarah's speed = 16.8 meters per second.
Difference in speed = 16.8 - 10.4 = 6.4
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero