Answer:
[tex]t = k \frac{1}{s} \\ 2 = k. \frac{1}{60} \\ k = 120 \\ k \: \: is \: constant \: of \: variation \\ relationship \: is \\ t = \frac{120}{s} . \\ when \: s \: = 90 \\ t = \frac{120}{90} \\ t = \frac{4}{3} \\ when \: t = 2 \frac{1}{2} \\ s = \frac{120}{2 \frac{1}{2} } \\ s = 48[/tex]
18.6 in
Which is the best approximation for the measure of angle
EGF?
32.8°
40.2
OOO
49.8°
57.2
Answer:
The answer is "[tex]40.2^{\circ}[/tex]"
Step-by-step explanation:
Please find the graph file.
Let
[tex]\angle EGF = x\\\\\sin x = \frac{12}{18.6}\\\\\sin x = 0.6452 \\\\x = \sin^{-1} (0.64516129) \\\\x = 40.1777695^{\circ} \approx 40.2^{\circ}[/tex]
Solve the algebraic expression , is it equivalent?
Answer:
No
Step-by-step explanation:
When you distribute the -2 you get 6x -2x+2. When you simplify it you get 4x+2 which is different than 4x-2.
Find the area of the SHADED region.
Round to the nearest TENTH if necessary.
Answer:
112
Step-by-step explanation:
18×8= 144 for the area of the entire rectangle.
4×4= 16/2=8 for the area of the triangle.
8×4=32 because there are 4 triangles.
144-32=112 because you don't want the area of the triangles only the shaded area
We have a population of 200 people with a growth rate of 2%. Which equation do we use to calculate how long it will take for the population to double to 400 people? 70/.2 200/,2 200x2 400/2 70/2 70/.02 200/.02 200x.02 200/2
Answer:
70/2
Step-by-step explanation:
We have a population of 200 people
Growth rate = 2%
How long it will take for the population to double
Double the population = 2× 200 = 400
The formula for Exponential growth =
y = a(1 + r)^t
y = Value at time t = 400
a = Initial value = 200
r = 2% = 0.02
t = ?
Hence:
400 = 200 ( 1 + 0.02)^t
Divide both sides by 200
400/200 = 200 ( 1 + 0.02)^t/200
2 = (1.02)^t
Take logarithm of both sides
log 2 = log(1.02)^t
log 2 = t log 1.02
t = log 2/log 1.02
t = 35.003417942
Approximately t = 35
We have so many formula to calculate doubling time
t = 70/Growth rate
From the above question
Growth rate = 70/2%
= 35
Therefore, the equation that we use to calculate how long it will take for the population to double to 400 people is 70/2
A cylinder with height of 4 meters has a volume of 2,827.43 cubic meters. Find the length of the diameter.
Answer: 30 meters
Step-by-step explanation:
Volume of a cylinder = πr^2h
2,827.43 = πr^2(4)
2,827.43 = 3.14(4)r^2
2,827.43 = 12.56*r^2
2,827.43/12.56 = (12.56*r^2)/12.56
225.11 = r^2, find square root of both sides
r = 15
diameter = 30
GUYS SINCE YOU ARE SMART AND IM NOT HELP PLEASE
If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of
getting exactly 2 threes?
Answer:
The probability of rolling the die once to get a four is 1/6
Step-by-step explanation:
So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities
Brainliest?
Pls help I’ll give brainliest
Answer:
5
Step-by-step explanation:
Question 2 options:
A pile of sand is in the shape of a cone. The diameter of the sand pile is 22 feet and the height is 12 feet.
The volume of the sand pile is approximately___ cubic feet.
Use 3.14 for pi. Do not round your answer.
Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2
A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4
9514 1404 393
Answer:
B. x^4/4
Step-by-step explanation:
[tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]
_____
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
Please help me ASAP!!!
Answer:
the third one (2,-18)
Step-by-step explanation:
What is the standard form of a trinomial?
Answer:
ax2 + bx + c
Step-by-step explanation:
the 2 is the square
I know this is in german but i really really need help...
Answer:
i would have helped u
Step-by-step explanation:
but i have forgotten the steps in solving this question
Answer:
is this Afrikaans laguage I don't understand your questions please comment it in English for me
Mary made 12 bracelets. 9 of those bracelets are the color blue.
What percent of bracelets are blue?
Answer:
75%
Step-by-step explanation:
We know that Mary made twelve bracelets and also that nine of them are blue, we are then asked to find the percentage of the bracelets that are blue.
To solve, first get a fraction of how many of the bracelets are blue. Since there are twelve in total, 12 will be our denominator, and since 9 are blue, 9 will be our numerator.
[tex]\frac{9}{12}[/tex]
Now to turn this into a percentage, we need to reduce this fraction to the lowest we can. Both numerator and denominator are divisible by 3, so do as followed :
[tex]\frac{9/3}{12/3}[/tex]
[tex]\frac{3}{4}[/tex]
Divide 3 by 4 :
[tex]3/4 = 0.75[/tex]
Multiply 0.75 by 100 to get our percentage :
[tex]0.75 * 100 = 75[/tex]%
Help please I’ll mark you brainliest!!
Answer:
35 ft
Step-by-step explanation:
Sorry this took me so long, I am 99% sure it is right though
I hope this helps :)
The volume of a cylinder is 325 pi cubic centimeters and its radius is 5 centimeters.
What is the height of the cylinder?
__cm
Answer:
13 cm
Step-by-step explanation:
just took the test
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
see explanation
Step-by-step explanation:
j - 4 ≤ 0 ( add 4 to both sides )
j ≤ 4
The graph has a closed circle at 4 on the number line with the arrow pointing left
A floor mat for gymnastics is a square with a side length of 14m. What is the area of the floor mat in square metres? Explain?
Answer:
196 square meters
Step-by-step explanation:
If the floor mat is square and one side is 14m then all sides are 14m. Given this you would find area by multiplying length by width.
L=14 W=14
14x14=196
There are 196 square meters
Two angles which are on opposite sides of the transversal and between the parallel lines and do not share the same vertex. They are congruent.
Answer:
Interior angles are congruent.
Step-by-step explanation:
We see that angles 3,4,5,6 are between the two parallel lines . These angles are called interior angles.
Angles 3,6 are opposite and do not share the same vertex.
Similarly angles 4 and 5 do not share the same vertex.
They are congruent.
If we look closely we see that angles 3 &4 and angles 5&6 are supplementary angles.
i.e they together make up the 180 degrees on the straight line.
On the outer sides of the parallel lines angles 1&2 and angles 7 & 8 are exterior angles
which also make supplementary angles on the parallel lines.
From the diagram we see that
∠ 5= ∠7
and
∠6 = ∠ 8
as the corresponding angles are equal
∠8=∠3
∠7=∠4
As they are opposite angles
Similarly
∠1=∠6
∠2=∠5 ( opposite angles)
From above
∠5=∠7
but ∠7= ∠4
therefore
∠ 5= ∠4-----------------A
Also
∠6 = ∠ 8
but ∠8=∠3
therefore
∠6=∠8----------------------B
From An and B we conclude interior angles are congruent
How many significant figures are in 609.80
There are 5 significant figures.
6.8 x + 9.3 6.8 x + 9.3 equals -9.4 + 3.4 (2 minus 5x)
Answer:
x=-0.5
Step-by-step explanation:
6.8x + 9.3= -9.4 + 3.4 (2-5x)
6.8x + 9.3 = -9.4 + 6.8 - 17x
6.8x + 9.3 = -2.6 - 17x
22.8x = -11.9
x = -0.5
what is 4 1/2 plus 6 2/5
Answer:
10.9
Step-by-step explanation:
4 1/2 plus 6 2/5=10.9
Answer: 10.9
Step-by-step explanation:
A cylindrical soup can has a diameter of 3.8 in. and is 5.4 in. tall. Find the volume of the can.
Answer:
the volume of the can is 61.21 cubic inches
Step-by-step explanation:
Given that
The diameter is 3.8 inches so the radius would be = 3.8 ÷ 2 = 1.9 inches
And, the height of the cylindrical soup is 5.4 inches
We need to find out the volume of the can
As we know that
The volume of the can is
[tex]Volume = \pi r^2h\\\\Volume = 3.14 \times 1.9^2 \times 5.4[/tex]
Volume = 61.21 cubic inches
Hence, the volume of the can is 61.21 cubic inches
x2 + 4
Select all that apply
Answer:
The first three depending on what the first one says. 2 and three are definitely correct though. If the first one says x to the second power added by 4 then it is correct.
Step-by-step explanation:
select the compound inequality shown on the graph.
Multiply and simplify. y^3 . y^5 . y^-2 .y
A. y^-4
B. 1/y^4
C. y^-5
D. 1/ y^3
Answer:
y^7
Step-by-step explanation:
y^3 . y^5 . y^-2 . y
= y^3 . y^5 . y^-2 . y^1
= y^( 3 + 5 - 2 + 1 )
= y^( 3 + 5 + 1 - 2 )
= y^( 9 - 2 )
= y^7
i need help asap please
Answer:
1. 1570
2. can't see properly
3. can't see properly
4. 392.5
5. 615.4
6. 6049
7. not clear can't see
8. 1589
9.:1570
Please answer ☻
Convert the following number to a percentage find the value that belongs in the box.
333 = __%
Answer:
3 (or 3.33)
Step-by-step explanation:
333 as a percent is 3.33
this rounds down to 3, so 3 is your answer
Solve these equations: tan^2x-3tanx+2=0
Find the area of the given triangles. please and thank you
Answer:
6cm squared
Step-by-step explanation:
to find the area of a triangle, it is base x height divided by 2
4 x 3 = 12
12 divided by 2 = 6