Answer:
22155.84 in
Step-by-step explanation:
r = 84 in
π = 3.14
then area if circle = r² × π
… A = 84² × π = 22155.84 = ( 22.15584 min )
Solve for z:−8(z+4)=−7(z+−4)+−3
Let's solve your equation step-by-step.
−8(z+4)=−7(z+−4)+−3
Step 1: Simplify both sides of the equation.
-8z-32=-7z+25
Step 2: Add 7z to both sides.
-z-32=25
Step 3: Add 32 to both sides.
-z=57
Answer:-57
Step-by-step explanation:
-8(z+4) = -7(z+-4)+-3
-8z-32= -7z+28-3
-8z-32=-7z+25
-57=z
Type the correct answer in the box. Use numerals instead of words. Consider the logarithmic function f(x)=log^10(x) The values of f(50) rounded to the nearest hundredth is____
Answer:
1.70
Step-by-step explanation:
Logarithmic functions are the inverses of exponential functions. Hence, exponential functions can be expressed in logarithmic form whereas logarithmic function can be expressed in exponential form. Since log is a function, it is most correctly written as log.
Given that f(x) = log₁₀(x)
To find the value of f(50), we substitute x to be 50 in the logarithm function and solve:
f(50) = log₁₀(50)
f(50) = log₁₀(5 * 10) = log₁₀(5) + log₁₀(10)
f(50) = 1 + log₁₀(5) = 1 + 0.70
f(50) = 1.70
Brian earns 53 dollars per week working part-time at a book store. He makes one dollar more for each book that he sells. The amount, A (in dollars), that Brian
earns in a week if he sells b books is given by the following function.
4(6) - 53 + b
How much does Brian earn in a week if he sells 34 books?
Um terreno retangular possui o comprimento cinco vezes maior que a largura. Sabendo que o perímetro desse terreno é igual a 180 metros, a largura e o comprimento medem, respectivamente: * 30 m e 150 m 75 m e 15 m 15 m e 75 m 150 m e 30 m 90 m e 90 m
Responder:
15 m e 75 m
Explicação passo a passo:
Deixar :
Largura = x
Comprimento = 5x
Perímetro = 180
Já o terreno tem uma forma retangular; usamos a relação;
Perímetro = 2 (comprimento + largura)
180 = 2 (5x + x)
180 = 2 (6x)
180 = 12x
180/12 = x
15 = x
Largura = x = 15 metros
Comprimento = 5x = 15 * 5 = 75 metros
Medida de largura e comprimento, respectivamente:
15 m e 75 m
PLEASE HELP MEE!!
Shawntae has 21 coins, a combination of nickels and dimes. The total value of her coins is $1.70.
How many of each coin does Shawntae have?
a. Define the variables and then write a system of equations that represent the situation.
(2 points)
b. Solve the system using either the substitution or elimination method. Show your work.
2 points)
C. In a complete sentence, how many nickels and how many dimes does Shawntae have?
(2 points)
Answer:b im not sure
Step-by-step explanation:
ur welcome .
By using substitution method, the number of nickels is 8 and the number of dimes is 13.
What is substitution method?The substitution method is one of the algebraic methods to solve simultaneous linear equations. It involves substituting the value of any one of the variables from one equation into the other equation.
Representing the nickels as n and the dimes as d, and knowing that a nickel is 5 cents and a dime is 10 cents, we can write two equations from the given data.
n + d = 21
5n + 10d = 170
We use the first equation to derive a value for n.
n + d = 21
Subtract d from each side.
n + d - d = 21 - d
n = 21 - d.........................(1)
We now simplify the second equation by dividing all terms by 5.
5n + 10d = 170
[tex]\frac{5n}{5} +\frac{10d}{5} =\frac{170}{5}[/tex]
n + 2d = 24
substitute n = 21 - d in above equation
(21 - d) + 2d = 24
21 -d +2d = 24
21 + d = 24
d = 24 - 21
d = 13
n = 21 - d
n = 21 - 13
n = 8
Thus, the number of nickels is 8 and the number of dimes is 13.
Find out more information about substitution method here:
https://brainly.com/question/14619835
#SPJ2
Which expression is equivalent to √900f^6/100g^4
Answer:
A
Step-by-step explanation:
c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²
and not 30f something.
the best answer I see is correct is a.
The banquet room is being carpeted. A floor plan of the room is shown below. Each unit represents 1 yard. The carpet costs $23.50 per square yard. How much will it cost to carpet the room?
Answer:
144.84
Step-by-step explanation:
Answer:
No solution is possible from the information provided.
Step-by-step explanation:
"A floor plan of the room is shown below. "
You failed to provide the floor plan so it is not possible to answer your question.
The surface areas of the two solids shown above are equal.
A. True
B. False
Answer:
True.
Step-by-step explanation:
first solid
A=72
second solid
A= 72
Answer:
True
Step-by-step explanation:
Both the surface areas = 72.
Please help me ASAP!!!
Answer:
x = 25
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
2x+10 + 4x+20 = 180
Combine like terms
6x+30 = 180
Subtract 30 from each side
6x+30-30 = 180-30
6x = 150
Divide by 6
6x/6 = 150/6
x=25
log3 x+log3 (x+30)=log3 64
Answer:
x = 2
Step-by-step explanation:
[tex] log_{3}x(x+ 30) = log_{3}64 \\ x(x + 30) = 64 \\ {x}^{2} + 30x - 64 = 0 \\ x = 2 \: or \: x = - 32[/tex]
-32 is rejected because in logarithms you cannot use negative value so x=2
the mass of an adult north pacific right whale is about 70,000 kg, or 7 x 10 4 kg. the mass of a male polar bear is about 700 kg, or 7 x 10 2 kg. about how many times more massive is the right whale than the polar bear?
please help!! I'm super confused
===================================================
Explanation:
Check out the diagram below. I've drawn a horizontal line to split the orange region into two parts: a triangle on top and a rectangle down below.
The triangle has base 11 cm and height 7 cm. The area is base*height/2 = 11*7/2 = 77/2 = 38.5 sq cm.
The rectangle has area 11*8 = 88 sq cm.
The total area of the entire orange figure is 38.5+88 = 126.5 square cm
What is the solution to the equation -5p = 24-p?
Op= -6
O p= - 27
Op
O p= 4
O p=
24
25
Answer:
p = -6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality 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
-5p = 24 - p
Step 2: Solve for p
[Addition Property of Equality] Add p on both sides: -4p = 24[Division Property of Equality] Divide -4 on both sides: p = -6howdy!!
yr answer is A. -6!!!!
goodluck!!! <33
Can someone please help me out ~ASAP~.
Suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60degrees. What is the length of the third side of the triangle?
Answer:
A) 2
Step-by-step explanation:
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
sin(A)/a=sin(B)/b=sin(C)/c
Substitute the known values into the law of sines to find a.
sin(60)/a=sin(60)/2
I need help with this one
Answer:
8
Step-by-step explanation:
7779.949783~7779.94978
Answer:
The missing digit is 8
Step-by-step explanation:
An educated guess, but i'm pretty sure it's right
In circle F with m \angle EFG= 122m∠EFG=122 and EF=16EF=16 units, find the length of arc EG. Round to the nearest hundredth.
Given:
In circle F, [tex]m\angle EFG=122^\circ,\ EF=16[/tex] units.
To find:
The length of arc EG.
Solution:
It is given that, [tex]m\angle EFG=122^\circ,\ EF=16[/tex] units. It means the central angle of arc EG is 122 degrees and the radius of the circle F is 16 units.
Formula for arc length is:
[tex]s=2\pi r\times \dfrac{\theta}{360^\circ }[/tex]
Where, r is the radius and [tex]\theta [/tex] is the central angle in degrees.
Putting [tex]r=16,\ \theta=122^\circ,\ \pi=3.14[/tex], we get
[tex]s=2(3.14)(16)\times \dfrac{122^\circ}{360^\circ }[/tex]
[tex]s=100.48\times \dfrac{61}{180}[/tex]
[tex]s=34.0515556[/tex]
[tex]s\approx 34.05[/tex]
Therefore, the length of arc EG is 34.05 units.
What is the centimeters?
4. Let g(x) = 2x and h(x) = x2 + 4.
Evaluate (hg)(-2).
20
-16
16
-12
Step-by-step explanation:
everything can be found in the picture
Please help me with this question I will give 20 points
Answer:
Step-by-step explanation:
What is the simplified expression for 2(x-5)?
2x
-10x
2x-10
2x+5
Answer:
2x-10
Step-by-step explanation:
2(x) - 2(5) = 2x - 10
According to Home Water Works, the average American shower uses 17.2 gallons and lasts about 8.2 minutes. To the nearest tenth of a gallon, how many gallons will Louise use when taking a 15-minute shower? Answer in complete sentences.
ALL GIVE BRAINLY!!!
Answer:
Home Water Works says that in most homes, showers are the third-largest user of water after toilets and clothes washers. The average American shower water usage is 17.2 gallons with the average shower length being 8.2 minutes. The average flow rate is 2.1 gallons per minute.
Answer:
90.2 gallons
Step-by-step explanation:
This is because if we take 8.8 * 8.2=72.16
then we do 72.16*5 =360.8
360.8 / 4 = 90.2 gallons.
Give brainlest and have a great day
Solve the triangle. Round your answers to the nearest tenth. Law of sines 6 A. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=16 c = 16 B. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=17 c = 17 C. M∠C=34 m ∠ C = 34 , b=22 b = 22 , c=17 c = 17 D. M∠C=34 m ∠ C = 34 , b=27.9 b = 27.9 , c=16 c = 16
Answer:
[tex]A = 43.0^o[/tex]
[tex]B = 55.0^o[/tex]
[tex]BC = 20.0[/tex]
Step-by-step explanation:
I will solve this question with the attached triangle
From the attachment, we have:
[tex]\angle C =82^o[/tex]
[tex]AB = 29[/tex]
[tex]AC = 24[/tex]
Required
Solve the triangle
First, we calculate [tex]\angle B[/tex] using sine law:
[tex]\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}[/tex]
This gives:
[tex]\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}[/tex]
[tex]\frac{24}{\sin(B)} = \frac{29}{0.9903}[/tex]
Cross multiply
[tex]\sin(B) * 29 = 24 * 0.9903[/tex]
[tex]\sin(B) * 29 = 23.7672[/tex]
Divide both sides by 29
[tex]\sin(B) = 0.8196[/tex]
Take arcsin of both sides
[tex]B = \sin^{-1}(0.8196)[/tex]
[tex]B = 55.0^o[/tex]
Next, calculate [tex]\angle A[/tex] using:
[tex]A + B + C = 180^o[/tex] --- angles in a triangle
[tex]A + 55^o + 82^o = 180^o[/tex]
Collect like terms
[tex]A = 180^o-55.0^o - 82^o[/tex]
[tex]A = 43.0^o[/tex]
Next, calculate BC using sine laws
[tex]\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}[/tex]
This gives:
[tex]\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}[/tex]
[tex]\frac{BC}{0.6820} = \frac{29}{0.9903}[/tex]
Make BC the subject
[tex]BC = \frac{29*0.6820}{0.9903}[/tex]
[tex]BC = 20.0[/tex]
Write the equation of a line passing through (4,1) and parallel to y = 3/2x + 3.
Answer:
y = 3/2x - 5
Step-by-step explanation:
y = 3/2x + b
1 = 3/2(4) + b
1 = 6 + b
-5 = b
Find the measurements of ZBOC.
A
5xº
A
B
(2x+20)°
C
O ZBOC= 40
O ZBOC = 10
O ZBOC= 50°
O ZBOC= 90°
Answer:
∠ BOC = 40°
Step-by-step explanation:
∠ AOC = 90° , then
5x + 2x + 20 = 90
7x + 20 = 90 ( subtract 20 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Then
∠ BOC = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°
amelia is going to invest in an account paying on interest rate of 6.5% compounded daily? help me plz someone
Answer:
$9,763
Step-by-step explanation:
Using the compund interest formula;
A = P(1+r)^t
A is the amount = $10,200
rate r = 6.5%= 0.065
time t = years
n = 1/365 ((daily compounding)
Substitute into the formula and get Pincipal P
10,200 = P(1+0.065(365))^5/365
10200 = P(1+23.725)^0.01369
10200 = P(24.725)^0.01369
10200 = P(1.0448)
P = 10200/1.0448
P = 9,762.6
Hence the amount invested is $9,763 to nearest dollars
Which of the following values of t will result in a true statement when substituted into the given equation?
1/2 t - 4 (2 + t) = 20
A. t = 8
B. t = -8
C. t = 11
D. t = -12
Answer: t=-8
Step-by-step explanation:
1/2t-4(2+t)=20 then multiplied by two so t-16-8t=40 -7t=56 then divide -7 by 56 and you will get your answer t=-8
x²+y²=2
xy=1
x+y= ?
Answer:
2 or -2
Step-by-step explanation:
x²+y²=2
(x+y)²-2xy=2
(x+y)²=4
x+y=±2
can someone explain and answer this for me??
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer: you're screwed dude. i had trouble with that two. you should pack up your stuff and run away before your mom finds out that you failed.
Step-by-step explanation:
Answer:
[tex]\frac{3}{4}[/tex] liter
Step-by-step explanation:
Initial amount of milk = 2 litersUsed in the morning = [tex]\frac{1}{2}[/tex] literMilk left = 2 liters - [tex]\frac{1}{2}[/tex] liter = [tex]1\frac{1}{2}[/tex] liters[tex]1\frac{1}{2}[/tex] liters used in half: [tex]1\frac{1}{2}[/tex] : 2= 3/2 :2 = 3/4 liter
Arwen has half as many pens as Adrienne. Adrienne gives Arwen 3 pens, but still has 6 more than
Arwen. How many pens did Arwen have originally?