Answer:
312.5
Step-by-step explanation:
Is means equals and of means multiply
75 = 24% * n
Change to percent form
75 = .24 n
Divide each side by .24
75/ .24 = .24n/.24
312.5 = n
If a circle has a radius of 16, and an arc length of 12, what is the angle measure of the central angle that matches that arc?
Answer:
135°
Step-by-step explanation:
The arc length is calculated as
EF = circumference of circle × fraction of circle
= 2πr × [tex]\frac{?}{360}[/tex]
Given EF = 12π , then
2π × 16 × [tex]\frac{?}{360}[/tex] = 12π ( divide both sides by 2π )
16 × [tex]\frac{?}{360}[/tex] = 6 ( multiply both sides by 360 to clear the fraction )
16 ? = 2160 ( divide both sides by 16 )
? = 135°
2. ABCD is a parallelogram. If AD = 3x+15 and BC = 21, find AD
Answer:
2
Step-by-step explanation:
3x+15=21 (the opposite side of parallelogram is equal)
3x=21-15
3x=6
x=6/3
so x=2
AD=2
x + (3x - 4) = 5 - (-7 - 3x)
Answer:
x = 16
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
x + (3x - 4) = 5 - (-7 - 3x)
Step 2: Solve for x
[Distributive Property] Distribute negative: x + 3x - 4 = 5 + 7 + 3x[Addition] Combine like terms: 4x - 4 = 12 + 3x[Subtraction Property of Equality] Subtract 3x on both sides: x - 4 = 12[Addition Property of Equality] Add 4 on both sides: x = 16Match the formula to the correct figure.
We got- cylinder, cube, cone, and pyramid.
1. πxr^2xh
2. 1/3Bxh
3. 1/3 πxr^2xh
4. Lxwxh
No bit links plz. 15 points.
Given:
The figures cylinder, cube, cone, and pyramid.
To find:
The formula of volume for the given figures.
Solution:
Volume of a cylinder is:
[tex]V_1=\pi r^2h[/tex]
Where r is the radius and h is the height.
Volume of a cube is:
[tex]V_2=a^3[/tex]
Where a is side length of cube.
It is also written as:
[tex]V_2=l\times w\times h[/tex]
Where l is length, w is width, h is height and [tex]l=w=h[/tex].
Volume of a cone is:
[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]
Where r is the radius and h is the height.
Volume of a pyramid is:
[tex]V_4=\dfrac{1}{3}Bh[/tex]
Where B is the base area and h is the height.
Therefore the table of formulae is shown below:
Figure Volume formula
Cylinder [tex]\pi r^2h[/tex]
Cube [tex]l\times w\times h[/tex]
Cone [tex]\dfrac{1}{3}\pi r^2h[/tex]
Pyramid [tex]\dfrac{1}{3}Bh[/tex]
Question
Scientific notation is commonly used in science, technology, engineering, and math, which are known as
STEM fields. Assume there are approximately 2.6 million engineers in a country. If engineers make an
average salary of about $70,000 per year, how much income does this group generate collectively?
Write the answer in both scientific and standard notation.
Answer:
$182000000000
1.82 * 10^11
Step-by-step explanation:
Given that :
Number of engineers = 2.6 million
Average salary = $70,000
Collective income generated by group of engineers yearly :
This will be on average :
2,600,000 * 70,000 = $182000000000
In scientific notation :
$182000000000 = 182 * 1000000000
182 * 1000000000 = 182 * 10^9
182 = 1.82 * 100 = 1. 82 * 10^2
Hence,
$182000000000 = 1.82 * (10^2 * 10^9)
$182000000000 = 1.82 * 10^11
In 1945, a microwave cost $435. Today, a microwave costs $130. What is the percent of change?
Answer:
29.89%
Step-by-step explanation:
Step 1: We assume that 435 is 100% since it is our output value.
Step 2: We next represent the value we seek with [tex]$x$[/tex].
Step 3: From step 1, it follows that [tex]$100\%=435$[/tex].
Step 4: In the same vein, [tex]$x\%=130$[/tex].
Step 5: This gives us a pair of simple equations:
[tex]100\%=435(1)\\\\x\%=130(2)[/tex]
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the same unit (%); we have
[tex]$\frac{100\%}{x\%}=\frac{435}{130}$[/tex]
Step 7: Taking the inverse (or reciprocal) of both sides yields
[tex]\frac{x\%}{100\%}=\frac{130}{435}\\\\\Rightarrow x=29.89\%[/tex]
Therefore, [tex]$130$[/tex] is [tex]$29.89\%$[/tex] of [tex]$435$[/tex].
two Friends have agreed to do a job with pace $2,000 total together there receive apart payment Of 0.25 Of the total amount How much of part payment should reach friend receive ,if they split it equally?
A.$250
B.500
C.$1000
D.1500
In a school of 3200 total students 3/8
are boys &
rest girls, then,
i) Find the number of boys and girls.
ii) Find the percentages of boys and girls
Answer:
ii) Find the percentage of boys/girls
Step-by-step explanation:
If im incorrect please comment here ------------》
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, R 58 is mph when T is 7 seconds. Find the speed of a car that travels the given distance in 9 seconds.
Answer: [tex]45.11\ mph[/tex]
Step-by-step explanation:
Given
Speed R varies inversely with time T i.e.
[tex]R\propto \dfrac{1}{T}\\\\R=\dfrac{C}{T}\quad [\text{C=constant}][/tex]
when R=58 mph, T=7 s i.e.
[tex]58=\dfrac{C}{7}\quad \ldots(i)[/tex]
when T=9 s
[tex]R=\dfrac{C}{7}\quad \ldots(ii)[/tex]
Divide (i) and (ii)
[tex]\Rightarrow \dfrac{58}{R}=\dfrac{9}{7}\\\\\Rightarrow R=\dfrac{7}{9}\times 58\\\\\Rightarrow R=45.11\ mph[/tex]
If there were 199 million American adults in 1996, how many of them were obese? Round to the nearest million adults.
Hari's weekly allowance varies depending on the number of chores he does. He received $24 in allowance the week he did 16 chores, and $18 in allowance the week he did 4 chores. Write an equation for his allowance in slope-intercept form.
i need help!
Answer:
y = (1/2)x + 16
Step-by-step explanation:
General point/slope form is
y = mx +b (the two points given are (4,18) and (16,24))
slope = rise/run = (24-18)/(16-4) = 6/12 = 1/2
y = (1/2)x + b
pick one point (4,18) and plug in
18 = (1/2)4 + b
18 = 2 + b
b = 16 (he still gets $16 for zero chores)
So
y = (1/2)x + 16
PROBABLY THE LAST THING IMA ASK FOR NOW BUT UH HELP
Answer:
3520 Yards
Step-by-step explanation:
1 Mile = 1760 Yards
Answer: 3520 yards
Step-by-step explanation:
1 mile = 5280 x 2 = 10,560
2miles = 10,560
in yards = 3520 yards
Find the product of 403 and 89.
[tex]35,867[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]403 \times 89 \\ = 35,867[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Answer:
35867 is the product of 409 and 89. At least I think so.
Step-by-step explanation:
When graphing the coordinates (2,1) you would....
A. first move two spaces on the x-axis and then up 1 space on the y-axis
B. first move two spaces up on the y-axis and then 1 space over on the x-axis
Answer:
The answer is A :)) hehe.
There are 11 teachers and 132 students at a middle
school. What is the ratio of teachers to students?
Answer:
[tex]\frac{1}{12}[/tex] or 1:12
Step-by-step explanation:
There are 11 teachers : 132 students
Because ratios are just another way of writing fractions, by putting this into a fraction we get:
[tex]\frac{11}{132}[/tex]
Dividing both the numerator and denominator (top and bottom) by 11, we get:
[tex]\frac{1}{12}[/tex]
Thus, the ratio is [tex]\frac{1}{12}[/tex], or 1:12
which expression is equivalent to 5+5t+3t+?
Answer:
10t+3
Step-by-step explanation:
Answer:
10t+3
Step-by-step explanation:
Find the exact value of csc theta if tan theta = sqrt3 and the terminal side of theta is in Quadrant III.
Answer:
3rd option
Step-by-step explanation:
Using the identities
cot x = [tex]\frac{1}{tanx}[/tex]
csc² x = 1 + cot² x
Given
tanθ = [tex]\sqrt{3}[/tex] , then cotθ = [tex]\frac{1}{\sqrt{3} }[/tex]
csc²θ = 1 + ([tex]\frac{1}{\sqrt{3} }[/tex] )² = 1 + [tex]\frac{1}{3}[/tex] = [tex]\frac{4}{3}[/tex]
cscθ = ± [tex]\sqrt{\frac{4}{3} }[/tex] = ± [tex]\frac{2}{\sqrt{3} }[/tex]
Since θ is in 3rd quadrant, then cscθ < 0
cscθ = - [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = - [tex]\frac{2\sqrt{3} }{3}[/tex]
Find Value Of X. PLEASEEE HELP
2^( 2x - 3 ) = 128
2^( 2x - 3 ) = 2^7
2x - 3 = 7
2x = 10
x = 5
Answer:
x = 5
Step-by-step explanation:
[tex]x^{2x-3} +52 = 180\\x^{2x-3} = 180 -52\\x^{2x-3} = 128\\x^{2x-3} = 2^{7} \\2x-3=7\\2x=10\\x=10/5\\x=5[/tex]
Azlyn can ride her horse 15.2 miles per hour. She is in an endurance race that is 76 miles
long! How long should this race take her to complete?
Step-by-step explanation:
Remember, math is a language
when you see per think fractions
15.2 miles per hour = 15.2 miles / 1 hour
since this is a fraction, Units can cancel just like numbers
To cancel miles and be left with hours rearrange the fraction
1 hour / 15.2 miles
then multiply by 72 miles
[tex] \frac{1hour}{15.2miles} \times 72miles[/tex]
the miles cancel and youre left with hours!
so youd write and solve 72 / 15.2
Given the cosine equation y = 2cos(4x) - 1, What is the midline?
Answer:
[tex]y = 2 \cos(4x) - 1 \\ when \: y = 0 \\ \cos(4x) = \frac{1}{2} \\ 4x = 60 \\ x = 15 \\ when \: x = 0 \\ y = 2 - 1 = 1 \\ intercepts = > (15, \: 0) \: and \: (0, \: 1) \\ midpoints : ( \frac{15 + 0}{2} , \: \frac{0 + 1}{2} ) \\ = (7.5, \: 0.5) \\ gradient = \frac{1 - 0}{0 - 15} \\ = - \frac{1}{15} \\ y = mx + c \\ at \: (7.5, \: 0.5) \\ 0.5 = - \frac{1}{15} \times 7.5 + c \\ 0.5 = - 0.5 + c \\ c = 1 \\ \therefore \: y = - \frac{1}{15} x + 1 \\ = > 15y = - x + 15[/tex]
I REALLY NEED TO PASS THIS! PLEASE EXPLAIN UR ANSWER, THANK YOU!
Question 8 options:
A full can of vegetable broth is 17 cm tall and has a radius of 5 cm. Morgan uses some of the broth to make curry and now the broth left in the can is 12 cm high.
Morgan used approximately___ cubic centimeters of broth.
Use 3.14 for pi. Do not round your answer.
Answer:
Step-by-step explanation:bjgnjfvnifcb
Answer:
392.5cm³
Step-by-step explanation:
height of broth in can used= 17-12
= 5cm
Amt. of broth used= πr²h
= 3.14×5²×5
= 392.5cm³
formula of simple interest
Answer:
I = PRT where I is the interest, P is the principal deposited/borrowed, R is the rate as a decimal (take the number & divide by 100), and T is time in years.
PLEASEEEE HELPPPP PLEASEEEEEE HELPPPPPPPPPPPPPP IM BEGGING SOMEONE
Answer:
1.) Adjacent and form a linear pair
2.) Adjacent and form a linear pair
3.) Adjacent
4.) Not adjacent
Hope this helps!
Answer:
1.) Adjacent and form a linear pair
2.) Adjacent and form a linear pair
3.) Adjacent
4.) Not adjacent
HELP QUICK PLS USIFHKDJGS
Answer:
4 x 3 = 12
2 x 3 = 6
12 + 6 = 18 cubic cm
Answer:b
Step-by-step explanation:
I NEED HELP WITH THIS ONE TOO!
4 × ( 4 + 9 ) = 2 × ( 2 + x )
4 × 13 = 2 × ( 2 + x )
2 × 2 × 13 = 2 × ( 2 + x )
2 × 26 = 2 × ( 2 + x )
Divide both sides by 2
2 × 26 ÷ 2 = 2 × ( 2 + x ) ÷ 2
26 = 2 + x
Subtract both sides 2
26 - 2 = 2 - 2 + x
x = 24
Find the number of x-interpects of y=-x^2+4x-12
Answer:
x = -2 + 2√2 i and -2 - 2√2 i
Step-by-step explanation:
Given the function, y=-x^2+4x-12
x intercept occurs at y = 0
Substitute y = 0
0=-x^2+4x-12
x^2 - 4x + 12 = 0
Factorize
x = -4±√4²-4(12)/2
x = -4±√16-48/2
x = -4±√-32/2
x = -4 ± √32 i/2
x = -4+4√2 i/2 and x =-4-4√2 i/2
x = -2 + 2√2 i and -2 - 2√2 i
What is the value of the expression 99 – 7a2 when a a = 3?
Answer:
36
Step-by-step explanation:
plug in a=3 for a
I belive you meant 99- 7 * a^2
so 99- 7 * (3)^2 = 36
The value of the expression 99 - 7a² for a = 3 is 36.
What is an algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
The given expression is 99 - 7a².
Substitute a = 3 into the given expression:
99 - 7 (3)²
= 99 - 7×9
= 99 - 63
= 36
Hence, the value of the expression 99 - 7a² for a = 3 is 36.
Learn more about algebraic expressions here:
https://brainly.com/question/953809
#SPJ6
please help!!! its due soon :)))
Answer:
C
Step-by-step explanation:
Answer:
The answer my friend is B.
A sociologist reviews randomly selected surveillance videos from a public park over a period of several years and records the amount of time people spent on a smartphone. The statistical procedure the sociologist used is called...
Answer:
an observational study.
Step-by-step explanation:
An observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).
In this scenario, a sociologist reviews and analyzes a public park surveillance videos that were randomly selected over a period of several years. From the data obtained, he records the amount of time people spent on a smartphone. Thus, the statistical procedure the sociologist used is called an observational study because he doesn't interfere or manipulate the surveillance video containing information about the amount of time people in the public park spent on their smartphone.
Additionally, an unobtrusive data collection is a data collection technique used mainly in the social sciences to obtain or gather data without the researcher directly interfering or interfacing with the subject being studied. Thus, it doesn't influence the behavior, action or response of the subjects under study.
Carolina y Juan fueron a la tienda y entre los dos se gastaron Q15.00. Carolina gastó Q3.20 más que Juan. ¿Cuánto gastó Juan? Grupo de opciones de respuesta
Answer:
Q 5.9
Step-by-step explanation:
Que el dinero gastado por Juan sea x
Deja que el dinero gastado por Carolina sea y
Si el dinero total gastado es Q 15
Luego;
x + y = 15 ------- (1)
De la segunda oración;
y = x + 3,2 -------- (2)
Sustituyendo (2) en (1)
x + x + 3,2 = 15
2x + 3,2 = 15
2x = 15 - 3,2
2x = 11,8
x = 5,9
x = Q 5.9
Por lo tanto Juan gastó Q 5.9