Answer:
[tex]\sqrt{420}=\sqrt{2\times2\times3\times5\times7} =2\sqrt{105}[/tex]
Step-by-step explanation:
We need to write prime factorisation to solve [tex]\sqrt{420}[/tex]
Prime factorisation: We need to find only those prime factors that are divisible
So, Prime factors of 420 are: 2x2x3x5x7
Now replacing 420 with its prime factors
[tex]\sqrt{420}\\=\sqrt{2\times2\times3\times5\times7} \\=\sqrt{2^2\times3\times5\times7} \\=\sqrt{2^2}\sqrt{3\times5\times7}\\=2 \sqrt{105}[/tex]
Since the options are incomplete, kindly verify the options.
So, [tex]\sqrt{420}=\sqrt{2\times2\times3\times5\times7} =2\sqrt{105}[/tex]
HELP HELP HELP HELP I NEED HELP THIS IS THE LAST QUESTION PLZ HELP
Which equation represents the nth term of the sequence {2,1,-4,-7...}.
a n =2n-5
a n=3n-1
a n=-3n-10
a n=-3n+5
Answer:
n=-3n+5
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I can only answer this if the second term is -1
a = 2
d = -3
t_n = a + (n - 1)*-3
t_n = 2 + -3n + 3
t_n = 5 - 3n or
t_n = - 3n + 5
That's D
Solve for Y
ABC = DEF
Answer:
12
Step-by-step explanation:
△ABC ≅ △DEF means that these two triangles are congruent to each other. Congruent triangles also have corresponding sides and angles that are equal to each other!
This means that angle A corresponds to angle D; and thus, we can set up in equation for these two to solve for y.
First, let's try to decipher what exactly we are solving. Y is what we are multiplying by five to get 60°, or angle A (congruent angle).
Now, we just solve it!
[tex]60=5y[/tex]
y=12
50 POINTS PLEASE HELP
What is the equation of this line?
y= -1/2x
y=2x
y=2
y= 1/2x
Answer:
y=2x
Step-by-step explanation:
Take 2 points
(0,0)(1,2)Slope:-
m=2/1=2Equation in point slope form
y=2x17. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find
the radius of the base of the cone
Answer:
[tex]r = 3.74cm[/tex]
Step-by-step explanation:
Given
Hemisphere
[tex]Radius = 7cm[/tex]
Cone
[tex]Height = 49m[/tex]
Required
Determine the radius of the cone
First, we calculate the volume (V1) of the hemisphere.
[tex]V_1 = \frac{2}{3}\pi r^3[/tex]
Substitute 7 for r
[tex]V_1 = \frac{2}{3}\pi * 7^3[/tex]
[tex]V_1 = \frac{2}{3}\pi * 343[/tex]
[tex]V_1 = \frac{686}{3}\pi[/tex]
Volume (V2) of a cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Because the lead is cast into a cone, then they have the same volume.
So, we have:
[tex]\frac{686}{3}\pi = \frac{1}{3}\pi r^2h[/tex]
[tex]686 = r^2h[/tex]
Substitute 49 for h
[tex]686 = r^2 * 49[/tex]
Divide both sides by 49
[tex]r^2 = \frac{686}{49}[/tex]
[tex]r^2 = 14[/tex]
[tex]r = \sqrt{14[/tex]
[tex]r = 3.74cm[/tex]
Hence, the radius of the cone is 3.74cm
given that log 8=0.931,log9=0.9542.fimd the value of log60
9514 1404 393
Answer:
log(60) = 1.7781
Step-by-step explanation:
60 = 3·2·10 = (√9)(∛8)(10)
log(60) = (1/2)log(9) +(1/3)log(8) +1 = 0.9542/2 +0.9031/3 +1
log(60) ≈ 1.7781 . . . . accurate in all digits shown
_____
It appears that the problem statement has a missing digit in the log of 8. It is actually about 0.9031, so that is the value we used above.
Given the drawing as shown below and that p || q, which of the following cannot be supported by the evidence shown?
A -
B -
C -
D -
Answer:
D
Step-by-step explanation:
The angle of B is not near angle D at all. They're supplementary, not the same.
A party of 5 wants to add a tip of 20% to their total $175 bill
Answer:
Hi, I think your question is incomplete. But I'll assume you're asking a party of 5 wants to add a tip of 20% to their total 175 dollars bill, how much do each person needs to pay?
Step-by-step explanation:
Firstly, calculate the percentage: 175 x 20% is 35, so 35 + 175 is 210.
210 ÷ 5 (Num. Of people in party)
Is 42 dollars. Therefore each people need to pay 42 dollars.
The polynomial equation x3 - 4x²+2x+10 - 42 -5x-3 has complex roots 3 + 21. What is the other root? Use a graphing
calculator and a system of equations.
O-3
O-1
O 3
O 10
9514 1404 393
Answer:
B. -1
Step-by-step explanation:
The graphing calculator shows the left-side function intersects the right-side function at x = -1.
Ethan plots points showing equivalent ratios on the coordinate plane below. 40 30 20 10 He makes this table to show the equivalent ratios. 2. 4 2 у 10 20 35 40
Answer:
The answer would be 6
Step-by-step explanation:
i am taking the test and got 6 as the correct answer.
Answer:
6
Step-by-step explanation:
The price of apples at a farm is $3.85 per pound. Which equation can be used to determine c, the total price of n pounds of apples? (5 points)
a
\large c=\frac{3.85}{n}
b
c = 3.85n
c
c = 3.85 + n
d
c = 3.85 − n
Answer:
c = 3.85n
Step-by-step explanation:
I GOT IT RIGHT ON THE TEST ON GOD NO CAP RANGE ROVER SPORTS TRUCK
) During the first year Sherry worked as a lifeguard, she was paid at a rate of $12.75 per hour. At the beginning of her second year, she received a 5 percent raise. Which of the following strategies gives the amount of Sherry’s raise?
A) Divide $12.75 by 5 to find the number of cents in Sherry’s raise.
B) Divide $12.75 by 2 to find the number of cents in Sherry’s raise.
C) Divide by 10 by moving the decimal point in $12.75 one place to the left, then divide the result by 5 to find the number of dollars in Sherry’s raise.
D) Divide by 10 by moving the decimal point in $12.75 one place to the left, then divide the result by 2 to find the number of dollars in Sherry’s raise
Answer:
A
Step-by-step explanation:
I need help on some math questions be ready.
Here’s 1 and 2.
1. A) Y=3x+7
2. B) y=5 x
Plz plz plz plz help me out
Answer: 60
Step-by-step explanation:
you can see here that 1 van can hold 12 people. so, if you just multiply that number by 5, then you can see how many fit into 5 vans.
Answer:
60 passengers.
Step-by-step explanation:
From the table, you'ld realise that it is in a sequence of (12), that is 1×12=12, 2×12=24, therefore, the number of passengers that can be transported in 5 vans are 5×12= 60 passengers.
find the quotient 6 2/7 ÷ 2 3/4
Answer:
Find the quotient.
6 2/7 divided by 2 3/4.
2 2/7. (MY ANSWER)
17 2/7.
2 6/11.
7/16.
Step-by-step explanation:
I hope this helps you!!
The value of the equation is A = 2 2/7
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 first number be P = 6 2/7
The value of P = 44/7
Let the second number be Q = 2 3/4
The value of Q = 11/4
A = ( 6 2/7 ) / ( 2 3/4 )
On simplifying the equation , we get
A = ( 44/7 ) / 11/4
A = ( 44/7 ) x ( 4/11 )
A = 16/7
Therefore , the value of A is 2 2/7
Hence , the equation is A = 2 2/7
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
How do you find the Area of a pentagon
Answer:
Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don't know the perimeter, calculate it from the side length: p = 5s, where s is the side length.
Step-by-step explanation:
Answer:
I think base times hight
The projected value of an investment is modeled by the exponential function V(t) = 30,000(1.125) where V(t) is the total value
after t years. What does 1.125 represent in the function?
The growth factor of the investment
The initial value of the investment
The projected value of the investment
D)
The value of the investment after t years:
Exponential function is given by [tex]A(t)=A_0(1+r)^t[/tex].
Option (1) will be the correct option.
An exponential function given in the form of [tex]A(t)=A_0(1+r)^t[/tex]represents the growth/decay function.
Here, [tex]A(t)=[/tex] Final value
[tex]A_0=[/tex] Initial value
[tex]t=[/tex] Duration or time
[tex]r=[/tex] Rate of growth or decay
(1 + r) = Growth factor
By comparing this function with the exponential function given for the investment,
[tex]V(t)=30000(1.125)^t[/tex]
[tex](1+r)=(1+0.125)[/tex]
Therefore, 1.125 is the growth factor of the investment.
Learn more about the growth factor,
https://brainly.com/question/4098905
9x+16y=72 slope intercept form
was it warmer at 3:00 p.m. or 9:00 p.m.
Answer:
3:00pm
Step-by-step explanation:
Cause the sun is out
3 p.m.
This is the answer
When voting for Homecoming Queen, 3 out of 5 students voted for Nancy. If there are 270 students who voted, how many of them voted for Nancy?
Answer:
162
Step-by-step explanation:
If 3 out of 5 students voted for Nancy, then 3/5ths of the voters voted for Nancy. If we multiply 270×3/5, we get 162. Hope this answer helps.
pls help me i am stuck and it would help alot:)
Answer:
The fourth choice
Aline's
y -intercept
is7,anditsslopeis
–1
3
. What
isitsequationin
slope -intercept
form?
Answer:
y = -1/3 + 7
Step-by-step explanation:
How do you factor the sum of cubes of 216s³+ 27t³?
You can not make the sum of two unalike terms.
F(2)=?
Find it please
Answer:
- 2
Step-by-step explanation:
f(2) = - 2
Could Someone help me, thank you so much!
Answer: Answer choice A
Step-by-step explanation:
Because 2 has 20 copies 4 has 40 so we can only assume that 6 will follow the pattern and be 60.
Hope it helps!
Answer:
approximately 60 pages
Step-by-step explanation:
because based on the scatter plot it's slowly going up each chapter it would make no sense for it to be 10 that's too little 170 and 100 are definitely to far away, therefore 60 is the best option
Hope this helps dude
Rectangle ABCD is reflected over the y axis. what rule show input and output of the reflection, and what is the new coordinate?
answers are in pic
Answer:
C. (x,y) → (-x,y); A' is at (5,1)
Help on this one please
what s the distance between e and a
Answer:
4 letters XD
Step-by-step explanation:
you didn't attach a picture.
Evaluate the function f(x) = {1 - 3x} for f (-2).
A: 5
B: 7
C: 6
D: 4
Answer:
f(-2)=(1-3×-2)
f(-2)=1+6
f(-2)=7 ans
PLEASE HELP I NEED THIS ASAP!!!!!
Answer:
last one
Step-by-step explanation:
ik dis promise I think
plz have me as brainiest