Answers
Answer/Step-by-step explanation:
The two triangles we have in the diagram shar the same vertex. They are both similar triangles. Therefore, their side lengths would be proportional.
This means:
[tex] \frac{9.8}{4.3} = \frac{r}{5.1} = \frac{n}{2.7} [/tex]
Solve for variable r and n respectively.
Thus:
[tex] \frac{9.8}{4.3} = \frac{r}{5.1} [/tex]
Multiply both besides by 5.1
[tex] \frac{9.8}{4.3} \times 5.1 = \frac{r}{5.1} \times 5.1 [/tex]
[tex] \frac{9.8 \times 5.1}{4.3} = r [/tex]
11.6 = r (nearest tenth)
Also,
[tex] \frac{9.8}{4.3} = \frac{n}{2.7} [/tex]
Multiply both besides by 2.7
[tex] \frac{9.8}{4.3} \times 2.7 = \frac{n}{5.1} \times 2.7 [/tex]
[tex] \frac{9.8 \times 2.7}{4.3} = r [/tex]
6.2 = n (nearest tenth)
Related Questions
A bakery sold a total of 380 cupcakes in a day, and 209 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored? 1
Answers
Answer:
1.71% were mocha flavored
Step-by-step explanation:
380-209=171
171* 100=1.71%
Answer:
55%
Step-by-step explanation:
Using a Table of Values to Find a Solution to a System
a) Complete the table below to solve the equation 2.5x-10.5=64(0.5)x.
x f(x)=2.5x-10.5 g(x)=64(0.5)x
2
3
4
5
6
b) Give the solution for the equation:
Answers
Answer:
This problem wants you to substitute the answers from the table into the equation to find the solution, which is when the input gives the same output basically.
f(x) = 2.5x -10.5 g(x) = 64(0.5)^x
when x= 2... when x= 2...
f(2) = 2.5(2) - 10.5 g(2) = 64(0.5)^2
f(2) = 5 - 10.5 = -5.5 g(2) = 64(.25)= 16
when x= 3... when x= 3...
f(3) = 2.5(3) - 10.5 g(3) = 64(0.5)^3
f(3) = 7.5 - 10.5 = -3 g(3) = 64(0.125) =8
when x= 4... when x = 4...
f(4) = 2.5(4) - 10.5 g(4) = 64(0.5)^4
f(4) = 10 - 10.5 = -0.5 g(4) = 64(0.0625) = 4
when x= 5... when x= 5...
f(5) = 2.5(5) - 10.5 g(5) = 64(0.5)^5
f(5) = 12.5 - 10.5 = 2 g(5) = 64(0.03125) = 2
when x= 6... when x = 6...
f(6) = 2.5(6) - 10.5 g(6) = 64(0.5)^6
f(6) = 15 - 10.5 = 4.5 g(6) = 64(0.015625) = 1
Use the figure on the right to find the length of DC.
Answers
Answer:
this is the figure btw
Step-by-step explanation:
What is this what is m
Answers
False regarding Earnest money
Answers
Answer:
?
Step-by-step explanation:
Answer:
Earnest money is typically in the form of a check.
Step-by-step explanation:
Not everyone writes checks. Can be paid in any form.
What is the interest you will pay if you borrowed $900 at 10% interest for 2 years?
Answers
$180
Step-by-step explanation
(900 x 2 x 10) / 100
=18000 / 100 = 180
=$180
The interest need to pay is $180.
What is Simple Interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
Given:
P = $900
R= 10%
T = 2 years
Using Simple Interest
SI = ( PRT)/100
SI = 900 x 10 x 2 /100
SI = 180
Hence, the interest is $180.
Learn more about Simple Interest here:
https://brainly.com/question/25845758
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Every year, the value of a property in singapore appreciates by 15% of its value in the previous year. If the value of the property was $899300 in 2012, find ite value in 2010.
Answers
Answer:
629 510$
Step-by-step explanation:
$899300 - (30% of $899300)
cuz its two years away from 2010 so it will have gone up 30 % so to rewind time, just go back 30%
Answer:
649744.25
Step-by-step explanation:
899300-15%-15%=649744.25
Please help out with this worksheet please i would appreciate it
Answers
Answer:
1. slope: (y2-y1)/(x2-x1)
(6,38), (9,32)
(32-38)/(9-6) = -6/3 = -2
38 = -2(6) + b
38 = -12 +b, b = 50
y = -2x + 50
2a. Slope = -80, the slope means how many cars left per hour after closing. Y- intercept = 600, cars in lot during closing.
2b. use the equation: y = -80x + 600
Plug in 3 into the equation
y = -80(3) + 600, y = -240 + 600, y = 360 cars
2c. For it to have 0 cars, plug in 0 for y
0 = -80x + 600
-600 = -80x, solve for x
x = 7.5 hours
Find the quotient
2/3 divided by 3 = _
Answers
Answer:
2/9 should be the answer.
Step-by-step explanation:
In this example, the first thing we have to do is convert 3 to a fraction so that we can work with it, so 3 with turn into 3/1. Now we set up the problem using the keep change flip method. You 2/3 as it is, and you change the sign to multiplication. Then you flip the second fraction which is 3/1 to get 1/3. Now you have 2/3 x 1/3. Now multiply them and simplify if possible.
Find the percent increase from the first number to the second in the following pairs.
A. 100, 140
B. 80, 125
C. 60, 80
D. 9,1
Answers
B. 56.25%
C. 33.3333%
D. -88.8888%
Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b
Answers
Answer:
a = b = 1
Step-by-step explanation:
x² - 2x + 2 = ( x - a )² + b
x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1
a = b = 1
Question 1 The number of books Annie reads in a month increased from 8 books to 16 books. By what percentage did the number of books she reads increase ?
Answers
Answer:
Very easy Bud
Step-by-step explanation:
Nope
4x-3y≤27 solve for y
Answers
Answer:
y≥−9+4x/3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
PLEASEEE HELPPP. 20 points
In a certain company a salesman is paid a fixed salary for $3140 per month plus an annual commision of 2% on the TOTAL value of cars sold for the year. If the salesman sold cars valued at $720000 in 2009 calculate:
(i) his fixed salary for the year
(ii) the amount he recieved in commision for the year
(iii) his TOTAL income for the year
Answers
Answer:
i. $ 37,560
ii. $14,400
iii. $51,960
Step-by-step explanation:
3130 x 12 = 37,560
2% of 720,000 = 14,400
14,400 + 37,560 = $51,960
Answer:
(i) 3 140 × 12 = 37 680
(ii) 720 000 × 2% = 720 000 × 0.02 = 14 400
(iii) 37 680 + 14 400 = 52 080
Two pieces of molding 2 1/8 inches and 2 1/8 inches long are placed end to end. What is the total length of the two pieces of molding together?
Answers
Answer:
1 hole 2 1/8 and 2 1/ 8 you add them together and it equal 1 hole
For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4013 of supporting the claim that 6 hours of sloep when the actual population
mean is 4.5 hours of sleep. Interpret this value of the power, then identify the value of B and interpret that value
Interpret this value of the powers
Answers
Answer:
b
Step-by-step explanation:
Mattie Evan's drove 100 miles in the same amount of time that it took a turbo turbopropeller plane to travel 500 miles. The speed of the plane was 200 mph faster than the speed of the car. Find the speed of the plane.
Answers
Answer:250
Step-by-step explanation:Answer:
100/r=500/r+200=50
50+200 =250
which expression is equivalent to mn+z
Answers
Write in slope-intercept form an equation of the line that passes through
the given points. (0, 1) (2, 4 )
Answers
Step-by-step explanation:
m= (4-0)/(2-1)
=4
y-int=1
y=mx+c
y=4x+1
first to answer correct gets brainliest
Answers
Answer:
64-6=x
Step-by-step explanation:
How can you tell if an element has been oxidized?
A. Its oxidation state has not changed in the reaction.
B. Its oxidation state is higher in the product than in the reactant
C. Its oxidation state is lower in the product than in the reactant.
D. It has a negative oxidation state in the product.
Answers
Step-by-step explanation:
B. Its oxidation state is higher in the product than in the reactant
A turtle walks 12 feet in one hour. How many inches does the turtle walk in one hour?
Answers
12 inches per feet
12feet x 12 inches per foot= 144 inches
Yesterday, there were 90 problems assigned for math homework. Ken got 27 out of 90
problems correct. What percentage did Ken get correct?
Answers
Answer:
yo mama
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
27/90=0.3
0.3=30%
A company has a manufacturing plant that is producing quality jackets. They find that in order to produce 150 jackets in a month, it will cost $5500. Also , to produce 370 jackets in a month , it will cost $8580 . Find an equation in the form y = mx + b , where is the number of jackets produced in a month and y is the monthly cost to do so.
Answers
Answer:
[tex]y = 14x + 3400[/tex]
Step-by-step explanation:
Represent
- number of jackets with x
- costs of jackets with y
So, we have:
[tex](x_1,y_1) = (150,5500)[/tex]
[tex](x_2,y_2) = (370,8580)[/tex]
Required
Write an equation in form of y = mx + b
First, we need to determine the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8580 - 5500}{370 - 150}[/tex]
[tex]m = \frac{3080}{220}[/tex]
[tex]m = 14\\[/tex]
The equation is calculated using:
[tex]y-y_1 = m(x - x_1)[/tex]
Where
[tex]m = 14\\[/tex]
[tex](x_1,y_1) = (150,5500)[/tex]
So, we have:
[tex]y - 5500 = 14(x - 150)[/tex]
[tex]y - 5500 = 14x - 2100[/tex]
Make y the subject
[tex]y = 14x - 2100 + 5500[/tex]
[tex]y = 14x + 3400[/tex]
In quadrilateral ABCD, \angle A=5x+20,\angle B=3x-30,\angle C=2x+10,and\angle D=8x.∠A=5x+20,∠B=3x−30,∠C=2x+10,and∠D=8x. Find the value of Angle B.
Equation:
x=
angle b=
Answers
Answer:
Equation: (5x + 20) + (3x - 30) + (2x + 10) + 8x = 360
x = 20
Angle B = 30°
Step-by-step explanation:
Given:
<A = 5x + 20
<B = 3x - 30
<C = 2x + 10
<D = 8x
Sum of interior angles of a quadrilateral = 360°
Therefore:
<A + <B + <C + <D = 360°
(5x + 20) + (3x - 30) + (2x + 10) + 8x = 360
Solve for x
5x + 20 + 3x - 30 + 2x + 10 + 8x = 360
Collect like terms
5x + 3x + 2x + 8x + 20 - 30 + 10 = 360
18x = 360
Divide both sides by 18
x = 360/18
x = 20
<B = 3x - 30
Plug in the value of x
<B = 3(20) - 30 = 60 - 30
<B = 30°
30/90 del número de plantas en un cultivo de caña está contaminada. De estas, el 1/2 ha sido tratada. ¿Cual es la fracción del número de plantas del cultivo que no ha sido tratada?
Answers
Answer:
1/6
Step-by-step explanation:
De la pregunta, sabemos:
30/90 del número de plantas de un cultivo de caña está contaminado.
30/90, simplificamos aún más
30/90 => 3/9 => 1/3
De estos, la mitad han sido tratados.
La fracción de los cultivos tratados son:
1/2 de 3/9 = 1/2 × 1/3
= 1/6
La fracción del número de plantas del cultivo que no ha sido tratada se calcula como:
1/3 - 1/6
El mínimo común denominador es 6
= (2 × 1) - (1 × 1) / 6
= 2 - 1/6
= 1/6
Usando proporciones, se encuentra que la fracción del número de plantas del cultivo que no ha sido tratada es [tex]\mathbf{\frac{5}{6}}[/tex]
Las plantas que no han sido tratadas son:
Las que non estan contamidas(6/9 de el total).1/2 de las contaminadas(1/2 de 3/9).Por eso, la proporción total es dada por:
[tex]\frac{6}{9} + \frac{1}{2}\frac{3}{9} = \frac{6}{9} + \frac{3}{18} = \frac{12}{18} + \frac{3}{18} = \frac{15}{18} = \frac{5}{6}[/tex]
La fracción del número de plantas del cultivo que no ha sido tratada es [tex]\mathbf{\frac{5}{6}}[/tex]
Un problema similar es dado en https://brainly.com/question/25377229
Plzzz answer thank you :))
Answers
Answer:
booger
Step-by-step explanation:
bc
cruise ship wave 176 miles in 8 hours
18 miles per how
Answers
Answer:
22 mph
Step-by-step explanation:
blablablablablablablabla
Answer:
22 miles
Step-by-step explanation:
please have and great day and btw you are loved ok have a great day byee!!
i need help with math
Answers
The cost for new carpet is $8.55 per square yard, plus an installation fee. If 700 square yards of carpet cost $6164, write and solve a linear equation to find the cost of 1000 square yards.
Answers
Answer:
1. 6164 × 10 = 61640
2. 61640 ÷ 7 = 8845.71
Answer = $8845.71