Answer:
Radius of the cone = 16 m
Step-by-step explanation:
Slant height of the cone 'l' = 5 m
Curved surface area of the cone is represented by the formula,
Curved surface area = πrl
Here r = radius of the circular base of the cone
l = slant height of the cone
By putting the values in the formula,
251 = πrl
251 = πr(5)
r = [tex]\frac{251}{5\pi}[/tex]
r = 15.979
r ≈ 16 m
Therefore, radius of the given cone will be 16 m.
Frank is detoxing and is wanting to drink one gallon of water a day. There are 128 ounces in a gallon. Frank has already drank four 16 ounce cups of water. First, how many ounces of water has Frank drank and second how many more ounces of water does Frank have to drink?
Answer:
frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces
Step-by-step explanation:
since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz
Ratio and Proportion problem
Please help meh
Answer:
hope its helpful to uh.......
In the parallelogram below,
z = [ ?
can someone help me with this question please.
Answer:
a) 280°
b) Ans - (D) P is North East of Q
FUNCTIONS HELP ME ASAP
Hey there! :)
Answer:
f(-2) = 2.
Step-by-step explanation:
To find f(-2), we simply need to look at the y value at x = -2.
At x = -2, the y value is equal to 2.
Therefore:
f(-2) = 2.
Answer: b)2
Step-by-step explanation:
Visually, when x = -2, y = 2
The price of a watch was increased by 7% to £1350. What was the price before the increase? Give your answer to the nearest penny.
Answer:
1261.68
Step-by-step explanation:
1350 = the increased watch price= 107% of the original
1350= 1.07x
1261.68224299
Check:
7% of 1261.68224299 is 88.317757
1261.68224299 + 88.317757 = 1349.9 = 1350
Round:
1261.68224299
To the penny= to the hundreth= 1261.68
Make a copy of this document for yourself. Solve each problem. Remember to combine like terms and use inverse operations when necessary. Get the variable by itself.
Answer:
the answer is 5.
given, 2c-7c+8=-17
or, -5c=-17-5
or, c=-25/-5
therefore the value of c is 5...
Step-by-step explanation:
[tex]2c -7c +8 =-17\\Collect- like- terms\\2c-7c=-17-8\\Simplify\\-5c = -25\\Divide-both-sides-of-the-equation-by -5\\\frac{-5c}{-5} = \frac{-25}{-5} \\\\c = 5[/tex]
Find the equation of the plane passing through the points
(-1,1,-4) and is perpendicular to each of the planes
-2x+y+z+2=0;x+y-3z+1=0
Extract the normal vectors from the given planes:
[tex]-2x+y+z+2=0\implies\vec n_1=(-2,1,1)[/tex]
[tex]x+y-3z+1=0\implies\vec n_2=(1,1,-3)[/tex]
(which are unique up to their signs, meaning either [tex]\vec n_1[/tex] or [tex]-\vec n_1[/tex] are valid choices for the normal vector)
The third plane must be perpendicular to both these given planes, which means it would be parallel to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex], which in turn means its own normal vector [tex]\vec n_3[/tex] should be perpendicular to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex].
Enter the cross product:
[tex]\vec n_3=\vec n_1\times\vec n_2=(-4,-5,-3)[/tex]
or (4, 5, 3), which also works.
The given plane passes through (-1, 1, 4), so its equation is
[tex](x+1,y-1,z-4)\cdot\vec n_3=0[/tex]
Simplify:
[tex](x+1,y-1,z-4)\cdot(4,5,3)=0[/tex]
[tex]4(x+1)+5(y-1)+3(z-4)=0[/tex]
[tex]\boxed{4x+5y+3z=13}[/tex]
Complete the table of values for y = 3x - 2
Table
x: -1, 0, 1, 2
y:
Answer:
y= -5
y= -2
y= 1
y= 4
Step-by-step explanation:
plug in the values of x into the equation
The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.
The given linear equation is
[tex]y = 3x - 2[/tex]
The given values of [tex]x = - 1, 0, 1, 2[/tex].
For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]
For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]
For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]
For [tex]x = 2, y = 3(2) - 2 = 4[/tex]
Therefore, the table will be:
x y
- 1 - 5
0 - 2
1 1
2 4
Learn more about linear equation here: https://brainly.com/question/17034467
#SPJ3
What is "5t + 76" if t = 6?
Answer:
106
Step-by-step explanation:
given: 5t + 76
If t = 6, we substitute t=6 into the equation and solve:
5t + 76
= 5(6) + 76
= 30 + 76
= 106
Hi there! Hopefully this helps!
---------------------------------------------------------------------------------------------------
Answer: 106.
First, we need to evaluate.
(Note: when a letter and a number are close to together [5t] it means to multiply)
So if "t" = 6 we rewrite the problem like this:
5(6) + 76.
5 x 6 = 30.
Now we rewrite the problem again.
30 + 76 = 106.
help i must get this correct i will make u brainllest
plzzz anyone
Answer:
22
Step-by-step explanation:
x-1 is a midsegment.
According to the Triangle midsegment theorem, x-1 is half of the third side (42)
x-1 = 42/2
x-1 = 21
x= 22
or
2x-2=42
2x=44
x=22
Hope this helps!
If you look at the top sides and bottom sides of both figures, this means that they are the same or similar.
In this figure, they are similar because one side is half of the other.
So... divide the longer length in half and solve for x.
42 / 2 = 21
x - 1 = 21
x - 1 + 1 = 21 + 1
x = 22
Therefore, the answer is C.
Best of Luck!
What’s 10 to the power of 10 A.100,000 B.10,000,000 or C.1,000,000,000
Answer:
10,000,000,000
hopefully this helped :3
Answer:
C.10,000,000,000
Step-by-step explanation:
A recipe calls for 3 cups of flour for every 8 ounces of water. How many cups of
flour are needed if the baker uses 96 ounces of water?
Answer:
you need 36cups of flour
Step-by-step explanation:
3 cups of flour = 8 ounces of water
x cups of flour = 96 ounces of water
96*3 =8x
288 =8x
288/8=36
x=36
Please answer it now in two minutes
Answer:
52
Step-by-step explanation:
the total is 180
so u add 61 and 67 which gives u 128
so u subtract 180 and 128 which gives u 52
hope this helps
Answer:the answer is 52
Step-by-step explanation:
First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.
You work as a health inspector and must visit each of the 15 restaurants in town once each week.
a) In how many different orders can you make these inspections?
b) If you were to work 50 weeks a year and use a different order every week, how long would it take you to try all of the different possible orders
Answer:
Step-by-step explanation:
The no of different ways in which these restaurants can be visited
= ¹⁵P₁₅
= 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 1.30 x 10¹²
b ) Each combination takes 1 week and 50 weeks in a year to work
No of years to take to try all the combination
= 1.30 x 10¹² / 50
= 2.615 x 10¹⁰ years .
x = [? ]°
117
124°
107
102
145
Answer:
x = 125°
Step-by-step explanation:
The sum of angles in an n-sided polygon is (180°)(n -2). For a hexagon, the sum of angles is ...
(180°)(6 -2) = 720°
We can use this to find x.
x +117° +124° +102° +145° +107° = 720°
x = 720° -595°
x = 125°
Express your answer as a decimal. 606/15
Answer:
40.4 is the ANSWERSolve the question given below
Answer:
x = 3.9
Step-by-step explanation:
x/1.5 = 2.6
Multiply both sides by 1.5
x/1.5 × 1.5 = 2.6 × 1.5
x = 3.9
Answer: 3.9
Step-by-step explanation:
x= 1.5 x 2.6 x= 3.9what is the point-slop of a line with slope 3/2 that contains the point (-1,2)?
O A. y 2 = 3/2(x-1)
O B. y+2 = 3/2(x-1)
O C. y-2 = 3/2(x + 1)
O D. y + 2 = 3/2(x + 1)
Answer:
The answer is option C.Step-by-step explanation:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
Equation of the line using point ( -1 , 2) and slope 3/2 is
y - 2 = 3/2(x + 1)Hope this helps you
Find the lateral surface area in square kilometers, of the 3-dimensional figure shown below
Answer:
108
Step-by-step explanation:
Add the sides of the triangle
5+3+4 = 12 then look for the height
which is 9
12*9 is 108
Find the complementary angle for 93
Answer:
Complementary means they add up to 90, so you want 2 angles that add up to 90...so what do you mean for 93? Are you talking supplementary,(add to 180), because that would be 87.
Answer: no complement
Explanation: To find the complement of a 93 degree angle, we take 90 minus the measure of the angle which in this case is 90° - 93°.
Notice that this gives us a negative angle measure
and since we can't have a negative angle,
we say that the given angle has no complement.
Watch out for negative answers to geometry problems.
Since we're usually talking about angle measures
or segment lengths, negatives will not work.
someone help me asap please
Step-by-step explanation:
1, vertical- axis intercept is the water at the beginning
3, she should have included the y-intercept and x-intercept of the linear function
HELP ASAP!!!!
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the
new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
Answer:
A, C, E, G
Step-by-step explanation:
mo
1.
[tex] \frac{5}{10} \div \frac{3}{2} [/tex]
Answer:
The answer is 1/3.
Step-by-step explanation:
This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.
What are the answers for each?
Answer:
7% of 33= 2.1
2% of 640= 12.8
15% of 470=70.5
7/9 of 51= 119/3
.52 of 62= 32.24
Answer:
1) 2.31
2) 12.8
3) 72
4) 44.625
5) 32.24
Step-by-step explanation:
7% of a number is simply 0.07*the number.
7/8 is just .875*the number
Hope it helps <3
Each ferry in the Sydney Harbour has a capacity of 230 people. If there are 9 ferries in operation today, how many people could travel using this service today?
Answer:
2070
Step-by-step explanation:
Multiply 230 people by 9 ferries, if each ferry is used once.
Need hep with this question
Answer:
V= -2000t + 20000
Step-by-step explanation:
Let m be the slope of our function :
m=(20000-16000)/(0-2)= -2000so our function is V= -2000t + b b is the intitial price so b = 20000then : V= -2000t + 20000Let's check :
take the second year : V= -2000*2 +20000 = 16000 that's true !Find the value of this expression if x = 3.
x2 + 3
Express your answer as a fraction or integer.
Enter the correct answer.
Answer:
9
Step-by-step explanation:
x2 + 3
(3)2 + 3
6 + 3
9
Answer:
12.
Step-by-step explanation:
x = 3; x^2 + 3.
(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12
Hope this helps!
a vertical flag pole TAD is supported by two wires AB and AC, given that angle ABD=67°,AB =2 m and AC =2.5m . find the length of AD
Answer:
a) 1.84m
b) 42.53°
Step-by-step explanation:
First, look though the diagram provided by the question.
And use the formula: [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]
Based on Additional Mathematics Form 4 (Dual Language Programme) KSSM from Malaysia
To find the length of AD
[tex]\frac{AD}{sin 67}=\frac{2}{sin 90}[/tex]
[tex]AD=\frac{2}{sin 90} * sin 67[/tex]
AD= 1.84 m
Find the angle C
[tex]\frac{sin 90}{2.5}=\frac{sin C}{1.84}[/tex]
sin C=[tex]\frac{sin 90}{2.5} * 1.84[/tex]
= 0.736
[tex]sin^{-1} (0.736)=47.39[/tex] degree
So, we have the value of AD and the value of angle C. Now , we can solve the the angle of CAD.
Same as the first question use the formula of sine rule and you will get the answer.
[tex]\frac{sin 90}{2.5}=\frac{sin ACD}{1.69}[/tex]
[tex]sinA = \frac{sin90}{2.5} * 1.69[/tex]
=0.676
=42.53°
So, the answer of the angle of CAD is 42.53°
Check the answer:
90°+47.39°+42.53°
=179.92°
=180°(rounded off)(Proved)
That is all from me. I hope you will understand my solution.
The triangles below are similar. What is the length of ? A. 17 cm C. 19 cm B. 18 cm D. 20 cm
Answer:
B. 18 cm.
Step-by-step explanation:
Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.
[tex]\frac{16}{24} =\frac{12}{x}[/tex]
[tex]\frac{2}{3} =\frac{12}{x}[/tex]
2 * x = 12 * 3
2x = 36
x = 18
So, the length of ED is B. 18 cm.
Hope this helps!