Answer:
The ramp should be 32.9 feet longer.
Step-by-step explanation:
When the ramp is at [tex]6^{o}[/tex] to the ground, its length can be determined by applying the appropriate trigonometric function. Let the length be represented by l, so that;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin [tex]6^{o}[/tex] = [tex]\frac{3.45}{l}[/tex]
l = [tex]\frac{3.45}{Sin 6^{o} }[/tex]
= [tex]\frac{3.45}{0.10453}[/tex]
= 33.0048
l = 33.0 feet
When the angle is reduced to [tex]3^{o}[/tex], the length of the ramp would be;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin [tex]3^{o}[/tex] = [tex]\frac{3.45}{l}[/tex]
l = [tex]\frac{3.45}{Sin 3^{o} }[/tex]
= [tex]\frac{3.45}{0.05234}[/tex]
= 65.9152
l = 65.9 feet
Change in length of ramp = 65.9 - 33.0
= 32.9
The ramp should be 32.9 feet longer.
If A is a square matrix of order 2, then det(-3A) is *
a. 3 det A
b. -3 det A
c. 9 det A
d. -9 det A
Help please.
Answer:
c. 9 det A
Step-by-step explanation:
Given the following data;
Since A is a square matrix of order 2, we know that n = 2
K = 3
For any scalar k;
∣kA∣ = k^{n} ∣A∣
Substituting into the equation;
∣-3A∣ = -3²∣A∣
Simplifying, we have;
∣-3A∣ = 9∣A∣
= 9 detA
Therefore, det (-3A) = 9 detA
Tina earned $1.38 per day for two days as interest on her $1,000.00 investment. Select all the expressions you could use to find the percent interest she earned in total.
ALSO FREE 100 points
thx for the free points but i was looking for the answer
Answer: oooh why thank you
Step-by-step explanation:
7+5(x−3)=227, plus, 5, left parenthesis, x, minus, 3, right parenthesis, equals, 22 a true statement?
Answer:
x = 47
Step-by-step explanation:
Given the equation :
7+5(x−3)=227
Expand the equation :
7 + 5x - 15 = 227
5x = 227 + 15 - 7
5x = 235
x = 235 /5
x = 47
Statement is true at x = 47
h(x) = 3x2 - 2x + 13
h(3)
[?]
Answer:
34
Step-by-step explanation:
h(x)=3x^2-2x+13
h(3)=3(3)^2-2(3)+13
h(3)=3(3)(3)-6+13
h(3)=3(9)-6+13
h(3)=27-6+13
h(3)=21+13
h(3)=34
Find the LCD of the two fractions 1/6 and 1/5
A. 6
B. 5
C. 30
D. 11
Answer:
C. 30 is the correct answer.
Step-by-step explanation:
66,722 Cincinnati residents over the age of 25 have a bachelor's degree or higher. What percentage of Cincinnati residents who are over the age of 25 have a bachelor's degree or higher
Answer:
we are missing some information, so I looked for a similar question and found the attached image:
Cincinnati's total population = 298,957 people
Cincinnati's population over age 25 = 193,638
I added all the people that were up to 24 years old and then subtract that number from 298,957 - 105,319 = 193,638
Percentage of Cincinnati residents over age 25 that have a bachelor's degree or higher = 66,722 / 193,638 = 0.3446 = 34.46%
1. Cuando compras un automóvil y lo sacas del concesionario, este comienza a
depreciar. Mira adquirió un automóvil por $18,645, y tiene un valor residual de
$1,950 y una vida útil de 7 años. ¿Cuál es el porcentaje de depreciación del costo de
auto por año? Indica si consideras que la oferta es conveniente para Mima y explica
tu respuesta
Identifica los datos y establece la relación entre estos.
b. Resuelve la relación, presentando el procedimiento y contesta la pregunta en
una oración completa.
El porcentaje de depreciación de la auto de Mira por año es del 12,79 %.
Cómo calcular el valor de depreciación del auto de Mira por año?Para calcular el valor de depreciación del auto de Mira debemos tener en cuenta la siguiente información:
Precio del auto nuevo: $18,645Precio residual de auto: $1,950Vida útil de auto: 7 años.De acuerdo a la información anterior, debemos calcular cual es la diferencia entre el precio nuevo y el precio residual.
$18,645 - $1,950 = $16,695Ahora, para saber el valor de depreciación por año dividimos este valor ($16,695) en 7.
$16,695 ÷ 7 = $2,385Por ultimo para saber el porcentaje de depreciación por año realizamos el siguiente procedimiento:
$18,645 ÷ 100 = $186.46$2,385 ÷ $186.46 = 12,79%Aprenda más de depreciación en: https://brainly.com/question/16933803
In △ABD, DG=40 in.
What is the length of DF?
Enter your answer in the box.
Answer:
60. GF=20 so add those together
Step-by-step explanation:
Answer:60in
Step-by-step explanation:
Help please
Will mark as brainliest!!!
Answer:
c
Step-by-step explanation:
Sally sold seashells by the seashore for 3 days for $2.45 per seashell. On the first day, she sold twice as many seashells as the second day, and on the second day, she sold four seashells less than she sold on the third day. If she sold 7 seashells on the third day, how much money did she make on those three days?
seashells less than she sold on the third day. If she sold 7 seashells on the third day, how
much money did she make on those thre
Step-by-step explanation:
1st day: 6 seashells, 14.7 dollars
2nd day: 3 seashells, 7.35 dollars
3rd day: 7 seashells, 17.15 dollars
All together: 39.2 dollars
day 3 = 7
day 2 = 7 - 4 = 3
day 1 = 3 * 2 = 6
total seas shells = 7 + 3 + 6 = 16
total money = 16 * 2.45 = $39.20
You have $2,000 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 3 years, how much will you need to pay each month (assuming you don't charge anything new to the card)?
Answer:
Step-by-step explanation:
2000*17%=340
2000+340=2340
2340/4*12= 48.75
Richard invests $230.92 every month into his mortgage. At the end of 30 years, he has a balance of $184,033.06. What interest did he make over 30 years?
Richard made $100,719.46 in interest over 30 years on his mortgage.
To calculate the total interest Richard made over 30 years, we need to find the total amount he invested and then subtract that from the final balance.
Richard invests $230.92 every month for 30 years, which is a total of:
Total investment = 30 years * 12 months/year * $230.92/month
Total investment = $230.92 * 360
Total investment = $83,313.60
Now, we can calculate the interest earned by subtracting the total investment from the final balance:
Interest = Final balance - Total investment
Interest = $184,033.06 - $83,313.60
Interest = $100,719.46
Therefore, Richard made $100,719.46 in interest over 30 years on his mortgage.
To know more about interest:
https://brainly.com/question/30393144?
#SPJ2
What does point B represent on the graph?
John’s Earnings
Hours Worked
Money
1
$7.00
2
$14.00
3
$21.00
On a coordinate plane, a graph titled John's Earnings has hours worked on the x-axis and money on the y-axis. Point A is (1, 7), point B is (2, 14), point C is (3, 21).
John earns $14.00 each hour.
John earns $14.00 for two hours of work.
John earns $7.00 for two hours of work.
John earns $7.00 for four hours o
Answer:
John earns $14.00 for two hours of work.
Step-by-step explanation:
At a bakery, Victor makes 20 cupcakes. He puts them
in equal rows with 10 cupcakes in each row. Which
calculation can be used to find the number of rows of
cupcakes Victor makes?
A 20 x 10
B 20/10
C 20-10
D 20+10
Which calculation can be used to find the number of rows of
cupcakes Victor makes?you can use b and c
3 folders cost $2.91 dollar sign . Which equation would help determine the cost of 2 folders? WRITE THE LETTER IN THE SPACE BELOW.
Answer:
$1.94
Step-by-step explanation:
Cost of 3 folders = $2.91
We need to find the cost of 2 folders.
First we will find the cost of 1 folder
1 folder = $2.91/3 = $0.97
To find the cost of 2 folders, multiply $0.97 and 2
2 folders = $0.97 × 2
= $1.94
Hence, the cost of 2 olders is $1.94.
Maria, Bill, and Eric have a total of $95 in their wallets. Maria has 10 less than Bill. Eric has 3 times what Bill has. How much does each have?
Plz help.
Answer:
[tex] \boxed{Maria \: got \: \$11} \\ \boxed{Bill \: has \: \$21} \\ \boxed{ Eric \: has \: \$63}[/tex]
Step-by-step explanation:
[tex]let \: maria \: be \to \: m \\ let \: eric \: be \to \: e \\let \: bill \: be \to \: b \\then : m =b - 10 \: and \: e = 3b \\ but : m + b + e = 95 \\ hence \to \: (b - 10) + b + (3b) = 95 \\ 2b - 10 + 3b = 95 \\ 5b = 95 + 10 \\ 5b = 105 \\ \boxed{b = 21} \\ m = b - 10 = 21 - 10 \\ \boxed{ m = 11} \\ e = 3b = 3(21) \\ \boxed{e= 63}[/tex]
♨Rage♨
can someone tell me if I’m right or wrong
I got x=5,-5,i,-i on a calculator
But the answer choice has 1
Answer:
B: [tex]-5, 5, i[/tex]
Step-by-step explanation:
The roots are [tex](x-5)(x+5)(x^{2}+1)[/tex] according to my TI-89 calculator.
find the output when x = 6
Answer:
5
Step-by-step explanation:
the points is also given on graph
(6,5)
i-Ready
Practice: Add and Subtract Rationals - Quiz - Level G
what number makes the equation true
Answer: the answer is -2 1/3
Step-by-step explanation: it would be -2 1/3 because 5 + 2=7 and then add the 1/3 to make -7 1/3
The number that makes the equation
[tex]\rm -5 +x = -7\dfrac{1}{3}[/tex] true is [tex]\rm \bold {-2\dfrac{1}{3} }[/tex].
So option 4 is correct.
Let the number that makes equation true is x
The question is that what makes equation true
[tex]\rm -5 +x = -7\dfrac{1}{3}[/tex]
This equation is a linear expression with one variable and rational numbers.
This equation can be solved in the following way
[tex]\rm -5 +x = -\dfrac{22}{3} \\x = 5 -\dfrac{22}{3} \\x = (15-22)/3 \\x = -7/3\\ x= -2\dfrac{1}{3}[/tex]
So from the given options in figure we can see that option 4 is correct
For more information please refer to the link given below
https://brainly.com/question/15815501
3³ - (60 - 10) + 8
Answer:
According to the Google calculator, the answer is -15
Please help I really need help
Answer:
D
Step-by-step explanation:
integers are a whole number; a number that is not a fraction.
All of the following are terminating decimals except _____.
We would have to divide every single one of these fractions to find out if they were terminating decimal. 2/5 = 2divided by 5 = 0.4 as you can see no many other repeating numbers after the decimal. We don't have to do the rest since we now know the answer is 2/5.
Based on your measurements in question 1, what is the relationship between the diagonals of parallelogram ABCD
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
PLATO
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
edmentum
Agourmet coffeeshop bought 45 pounds of roasted coffee beans in two weeks. If they bought 20 pounds the second week, how many pounds did they buy the first week?
Please Help
Answer:
yeeyyesyyyseyas
Step-by-step explanation:
Rivas bought a can of paint. He used 3/8 of it to paint a bookshelf. He used 1/4 of it to paint a wagon. He used some of it to paint a birdhouse and has 1/8 of paint left. How much did he use for the birdhouse?
Answer:
he used 1/8 of paint .....
What is the range of the graphed function?
0-5
0-4 Sy < 0
oo sys 4
o {0,1,2,3,4}
Answer:
Step-by-step explanation:
y equels 4
Find the slope of each line passing through the given points using the slope formula.
(-3, -10) and (-1, -1) URGENT Please answer
Slope (m)= y\x= 9/2 = 4.5
your equation for the line is
y=4.5x+3.5
(x+0.5)^3 Expand the Equation using Pascal’s Triangle and the Binomial Theorem.
Answer: x^3 + 1.5x^2 + 0.75x + 0.125
Step-by-step explanation:
Use the binomial expansion theorem to find and simplify each term.
How much simple interest would x dollars earn in 13 months at a rate of r percent?
What is a density of an object that has a mass of 100g and a volume of 20cm3
Answer:
5g/cm^3
Step-by-step explanation:
DENSITY=mass/volume
=100/20
=5g/cm^3
So the density is 5g/cm^3