Which equations are you referring to?
Please respond.
Eyjafjallajökull is a volcano in Iceland. Ina research reuption a projectile is ejected with an initial velcony of 304 feet per second. The height H, in feet is given the equation H=16t^2 + 304t
Answer:
t = 9.5 seconds
Step-by-step explanation:
Given that,
The initial velocity of the projectile is 304 ft/s
The height of the projectile is given by :
[tex]H=16t^2 + 304t[/tex]
For maximum height,
Put h' = 0
[tex]h'=-32t+304[/tex]
or
[tex]-32t+304=0\\\\t=\dfrac{304}{32}\\\\t=9.5 \ s[/tex]
So, the time taken to reach the maximum height is 9.5 seconds.
If the total surface area of hemispher is 7392 square cm. Them find its radius.
Answer: The radius of the hemisphere is (R) = 28 cm
which function is the inverse of f(x)=2x+3?
f^1(x)=-1/2x-3/2
f^-1(x)=1/2x-3/2
f^-1(x)=-2x+3
f^-1(x)=2x+3.
What is the x-intercept of f (x) = x^2– 10x + 25? ?
Step-by-step explanation:
The X- intercept : (5,0)
Answer:
x = 5 , as coordinates (5,0)
Step-by-step explanation:
We have to solve the associated equation
x^2 - 10x + 25 = 0
(x-5)^2 = 0
x = 5 (double solution)
Use mapping notation to describe a translation up 8 units.
A. (x,y) → (x 8, y-8)
B. (x,y) → (x,y+8)
C. (x,y) = (x+8, y+8)
D. (x,y) → (x+8, y)
7. The points P(2, -3), Q(3, -2) and R(8, z) are
collinear, i.e. they lie on a straight line. Find the
value of z.
Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m = [tex]\frac{-2+3}{3-2}[/tex] = 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m = [tex]\frac{z+2}{8-3}[/tex] = [tex]\frac{z+2}{5}[/tex] , then
[tex]\frac{z+2}{5}[/tex] = 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
Can anyone help !! Please
Answer:
the first question is x=68/3 in standard from it is 3x=68
the second question is x= - 11/10
Step-by-step explanation:
for the second question the negative is beside the fraction.
m/
Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark
teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2.5 cm base diameter, what is the maximum height each tooth can be?
Assume that the students use all the clay.
A.
1.25 cm
Св.
2.27 cm
c.
2.47 cm
D
3.57 cm
E. 4.50 cm
=====================================================
Explanation:
We have 81 cm^3 of clay. Divide this among the 20 students and each gets 81/20 = 4.05 cm^3 of clay
--------------
The volume of a cone is
V = (1/3)*pi*r^2*h
Solving for h gets us
3V = pi*r^2*h
(3V)/(pi*r^2) = h
h = (3V)/(pi*r^2)
--------------
The diameter is 2.5 cm which cuts in half to 1.25 cm, so this is the radius.
We'll plug this radius in, along with V = 4.05 and pi = 3.14
h = (3V)/(pi*r^2)
h = (3*4.05)/(3.14*(1.25)^2)
h = 2.4764
This value is approximate. Rounding down to the nearest hundredth gets us 2.47
We round down because rounding up to 2.48 will lead to a volume larger than 4.05
The maximum height of each tooth is 2.47 cm and this can be determined by using the formula of the volume of the cone.
Given :
Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2.5 cm base diameter.The following steps can be used in order to determine the maximum height of each tooth:
Step 1 - The formula of the volume of the cone can be used in order to determine the maximum height of each tooth.
Step 2 - The formula of the volume of the cone is given below:
[tex]\rm V = \dfrac{1}{3}\pi r^2h[/tex]
where r is the radius and h is the height of the cone.
Step 3 - Substitute the values of the known terms in the above expression.
[tex]\rm \dfrac{81}{20}= \dfrac{1}{3}\times \pi \times (1.25)^2\times h[/tex]
Step 4 - Simplify the above expression.
h = 2.47 cm
For more information, refer to the link given below:
https://brainly.com/question/1578538
PLS ANSWER THIS PLS PLS
Answer:
the picture can't clean. so I can't solve the problem
Answer:
I will go with (C)
Step-by-step explanation:
So the interior angle of a 9 -sided polygon is 140 °. We can see that x and one interior angle lie on the same side of a straight line, so their sum must be 180 °. So x = 180 ° − 140 °, or x = 40 °. The correct answer is 40 °. Hope this helps!
Please help me no links!!
Answer:
Slope = 1
Y-intercept = 4
equation = 1x + 4
Hope this helps!
Аними виг виринт от главнини вина и
Four times the summ plus 10" is 34, What is the
value of n?
Multiply (n + 10) bym,
49 * 10) = 34
? nie
? = 34
DOWE
Answer:
6
Step-by-step explanation:
Из 34 вы вычитаете 10, потому что это значение уже известно, осталось 24, вы делите его на 4, потому что это количество значений (или чисел), которые у вас есть, и это 6, я надеюсь, что это поможет вам с приветствием из Мексики
What is the measure of the smallest interior angle of the hexagon shown?
=========================================================
Explanation:
We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees
Lets add up the angles, set the sum equal to 720 and solve for x
x+2x+115+2x+115+2x = 720
7x+230 = 720
7x = 720-230
7x = 490
x = 490/7
x = 70
This makes angle 2x = 2*70 = 140 degrees
We see that x = 70 is the smallest angle, so that's why C is the answer.
Need help pls. Kind of struggling to get an answer
Answer:
c. 216 m squared
do 6×6 to find the missing area then do 12×21 to fine whole area then subtract 252 and 36. hope this helps
Find the measure of angle 'y'. 49° A. 60 degrees B. 70 degrees C. 80 degrees D. 110 degrees
Answer:
70°
Step-by-step explanation:
61° + 49° + y = 180° (sum of angles of a triangle is always 180°)
so,
y= 180° - 61° - 49° = 70°
Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of the columns.He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
b)How many chairs can he remove to arrange in a way that he wants? Justify your answer.
Answer:
84
59
Step-by-step explanation:
In other to have the same number of chayes in both rows and columns ;
If the Number of chairs per row = x ; then number of chairs per column = x
Then the total number of chairs needed = x * x = x²
Hence, if there are 5100 chairs ;
Number of chairs needed more ;
Take the square root of 5100 ;the round to the next whole number :
B.) For number of chairs to be removed ;
Take the square root of 5100 and round down to the whole number.
Hence,
A.) = √5100 = 71.414 = 72
72² - 5100 = 84
B.) 5100 = 71.414 = 71
5100 - 71² =
Find each missing length to the nearest tenth.
9514 1404 393
Answer:
6.7
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
x^2 = 6^2 +3^2 = 45
x = √45 ≈ 6.7
The missing side length is about 6.7 units.
Answer:
The missing side length s 6.7 units.
Step-by-step explanation:
hope it helps
Find the value of x.
Answer:
9 sqrt(2) /2 = x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = x /9
9 sin 45 = x
9 sqrt(2) /2 = x
If v = 35 , a = 4 , t = 5 and v = u + a t , evaluate u .
v = u + at
=> 35 = u + (4×5)
=> 35 = u + 20
=> 35 - 20 = u
=> 15 = u
Step-by-step explanation:
v = u + a t
35=u+ 4(5)
35-20=u
u=15
Find the missing side or angle. Round to the nearest tenth. C=53° B= 80° a=2 b=[ ? ]
9514 1404 393
Answer:
b ≈ 2.7
Step-by-step explanation:
The missing angle A is ...
A = 180° -53° -80° = 47°
The law of sines tells you ...
b/sin(B) = a/sin(A)
b = sin(80°)×2/sin(47°) ≈ 2.6931
Side b is about 2.7 units.
Answer:
b~ 2.7Step-by-step explanation:
hope it helps much
Which product is positive?
(1) (1943)-3)
(13)04-1)-4)
O
5
3
Answer:
El 5 y el 3
Step-by-step explanation:
La primera y la segunda saldrá un negativo ya que hay un negativo y con eso nunca saldrá positivo.
La tercera es 0, no es positivo ni negativo
La cuarta y quinta es positivo
Solve the equation 4x^2 - 5x -33 = -29 to the nearest tenth.
9514 1404 393
Answer:
x = {-0.6, 1.8}
Step-by-step explanation:
Adding 33 we have ...
4x^2 -5x = 4
Dividing by 4, we get ...
x^2 -5/4x = 1
We can complete the square by adding the square of half the x-coefficient:
x^2 -5/4x +25/64 = 89/64
(x -5/8)^2 = 89/64
x = (5 ±√89)/8 = {-0.5542, 1.8042}
The solution rounded to the nearest tenth is ...
x = {-0.6, 1.8}
1 torr is equal to (1 Point)
Answer:
1 torr = 760 atm
1 torr = 1 mmHg
In parallelogram DEFG if m FGD=125 find m GDE
9514 1404 393
Answer:
55°
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
m∠GDE = 180° -m∠FGD = 180° -125°
m∠GDE = 55°
WILL MARK BRAINLIEST!!!
PLEASE HELP!!!
Solve for X.
Multiple choice!
Thank you!
Answer:
-8
Step-by-step explanation:
1) Total sum of all angles on a traingle is 180.
2) 65+40=105
3)180-105=75
4) -8+83=75
Answer:
x=-8 degree
Step-by-step explanation:
65 + 40 + x + 83 = 180 degree (sum of interior angles of a triangle)
188 + x = 180
x= 180 - 188
x=-8 degree
Anna needed to let everyone in the music club know the time of its next meeting. She called two people and asked each of them to call two other people, and so on. if it takes one minute to call two people, how many phone calls were made during the fifth minute?
Answer:
62
Step-by-step explanation:
In one minute Anna called 2 people
the next minute the 2 people each called 2 people making it 4 so I'll draw something like a branch chain to calculate so it will look like the fig above
I'm not too sure but I tried my best.
What is the value of cos C?
Answer:
15/17
Step-by-step explanation:
cos=opp/adj
cos C=15/17
Three more than the product of six and a number, increased by nine in the simplest form
Answer: 12+6x
Step-by-step explanation:
three more means addition +3
the product of 6 and a number means multiplying 6 by a variable 6x
increased by 9 means addition +9
put it together and we have 3+6x+9
now we combine like terms
3+9+6x
12+6x
1)The base of a triangular prism is a right triangle with a base of 20 feet and a height of 120 inches. The height of the prism is 5 feet. What is the volume of the prism, in cubic feet?
2)Jake has a shipping box with the following dimensions.
Answer:
?
Step-by-step explanation:
i font know what to say to arrange
40 people were sunbathing on a beach. 28 people were wearing a hat, 20 people were wearing a hat and sunscreen, and 3 people were wearing neither a hat or sunscreen
1. place this information on a venn diagram
Answer:
Kindly check attached picture
Step-by-step explanation:
The total Number of people = 40
Number wearing hat only = number wearing Number wearing hat - (sunscreen and hat)
28 - 20 = 8
Number wearing sunscreen only :
40 - (8 + 20 + 3)
40 - 31
= 9
Kindly find completed venn diagram below.
8x - (2x - 13) = 42
solve and check the equation
Answer:
x = 29/6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
8x - (2x - 13) = 42
Step 2: Solve for x
[Distributive Property] Distribute negative: 8x - 2x + 13 = 42[Subtraction] Combine like terms: 6x + 13 = 42[Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29[Division Property of Equality] Divide 6 on both sides: x = 29/6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 8(29/6) - [2(29/6) - 13] = 42Multiply: 116/3 - [29/3 - 13] = 42[Brackets] Subtract: 116/3 - -10/3 = 42Subtract: 42 = 42Here we see 42 does indeed equal 42.
∴ x = 29/6 is the solution.
Answer:
x = 29/6
Step-by-step explanation:
solve for x.
8x - ( 2x - 13 ) = 42
distribute minus sign
8x - 2x + 13 = 42
combine like terms
6x + 13 = 42
subtract 13 from both sides
6x + 13 - 13 = 42 - 13
6x = 29
Divide each side by 6
6x / 6 = 29 / 6
x = 29 / 6
Check the equation :
8x - ( 2x - 13 ) = 42
substitute the value of x in equation
8 ( 29/6) - ( 2(29/6) - 13) = 42
reduce the number with the greatest common factor 2
4 × 29 /3 - ( (29/3) - 13) = 42
calculate the product
116/3 - ( 29/3 - 13 )= 42
calculate the difference
116/3 -( -10/3 )= 42
change the sign
116/3 + 10/3 = 42
add the fractions to get 42.
42 = 42
Hence, verified.
