The length of the ramp is 96.5
SOH CAH TOA identityGiven the following parameters from the question
The vertical rise of the ramp = 8 inches
The angle of elevation = 4.76°.
Required
length of the ramp
Using the SOH CAH TOA identity;
tan theta = opp/hyp
sin4.76 = 8/H
H = 8/sin4.76
H = 8/0.0829
H = 96.5
Hence the length of the ramp is 96.5
Learn more on SOH CAH TOA here; https://brainly.com/question/20734777
2. Julia purchases a rectangular plot of land with a perimeter of 90 yards. She knows that the length
of the field is twice the width. Find the dimensions (the length and width) of the field.
Answer:
sorry I don't know.
Step-by-step explanation:
I don't know but I k ow how you feel
Answer:
The length is 30 and the width is 15
Step-by-step explanation:
i dont really know how i got this. T.T sorry i did it in my head but my answer has ro be right hope this helps
NEED HELP AS SOON AS POSSIBLE! GIVING BRAINLIEST BECAUSE I NEED THIS REALLY SOON!!!!!! ~ thanks ~
Answer:
a) The temperature of the water at 5 p.m. would be below 0
b) The temperature of the water at 5 p.m. would be -2.5 *C
Step-by-step explanation:
A) Adding-10.6 and -8.7 would give you over 19, and this would be more than 16.8. Therefore, we can assume that 16.8- 19 is less than zero
B) -10.6+16.8-8.7=-2.5
Element X is a radioactive isotope such that every 18 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 40 grams, how long would it be until the mass of the sample reached 24 grams, to the nearest tenth of a year?
It would be 13.3 years till the mass of the sample reached 24 grams.
What is exponential decay of a substance?'A quantity is subject to exponentially decay if it decreases at a rate proportional to its current value.'
According to the given problem,
Let x be the number of years spent,
Initial mass = 40 grams
Final mass = 24 grams
Half-life = 18 years
⇒ 24 = 40 × [tex]0.5^{\frac{x}{18} }[/tex]
⇒ 24/40 = 0.5^[tex]\frac{x}{18}[/tex]
⇒ 3/5 = 0.5^[tex]\frac{x}{18}[/tex]
Taking ln on both sides,
⇒ ln (3/5) = [tex]\frac{x}{18}[/tex] ln 0.5
⇒ ln (3/5) / ln (0.5) = x/18
⇒ x = ( 18 × ln (3/5) ) / ln (0.5)
⇒ x = 13.3 years
Hence, we can conclude that the sample need s 13.3 years to decrease its mass from 40 grams to 24 grams.
Learn more about exponential decay here: https://brainly.com/question/27492127
#SPJ2
Match the base to the corresponding height,
Step-by-step explanation:
hint base x height
or length x width
pls can u gus tell me the ans and explanation
Answer:
2325 mL
Step-by-step explanation:
Let x = total volume of the tank. When we fill 4/5 of water into the tank, the amount of water we have can be expressed by 4x/5. Then we only keep 1/3 of that amount (poured away 2/3 of the water), so the amount of water is 4x/15. Thus we set up the equation like this:
4x/15 = 620
4x = 9300
x = 2325
Thus the tank can contain a maximum of 2325 mL.
Skye's Ice Cream Shoppe is Mario's favorite place to get ice cream. Unfortunately, because he was late arriving there, his friends had already ordered. He did not know what they ordered for him. They told him that it was either a waffle cone or a sundae and that the ice cream flavor was apricot, chocolate, or blackberry .
a. Make a list of all of the possible ice cream orders.
b. What is the probability that Mario will get something with apricot ice cream?
C. What is the probability that he will get a sundae?
d. What is the probability that he will get either something with chocolate or a waffle cone with blackberry?
e. What is the probability that he will get orange sherbet?
Answer:
a)
apricot waffle conechocolate waffle coneblackberry waffle coneapricot sundaechocolate sundaeblackberry sundaeb) 1/3
c) 1/2
d) 1/2
e) 0
Step-by-step explanation:
a) There are 2 different types of dessert and 3 different ice cream flavors.
Therefore, there are 6 possible ice cream orders:
apricot waffle conechocolate waffle coneblackberry waffle coneapricot sundaechocolate sundaeblackberry sundaeb) There are 2 different desserts with apricot ice cream.
⇒ P(apricot ice cream) = 2/6 = 1/3
c) There are 3 combinations of sundae.
⇒ P(sundae) = 3/6 = 1/2
d) P(chocolate) = 2/6 = 1/3
P(blackberry waffle cone) = 1/6
⇒ P(choc) OR P(BWC) = 1/3 + 1/6 = 1/2
e) P(orange sherbet) = 0
as orange sherbet was not an option!
OS
Question 2
A circle has a centre C (1,3)The end points of a diameter of the circle are A (-3,2k) and B (5,k)
Find the value of k, k
Answer:
k = 2
Step-by-step explanation:
We'll need the Midpoint Formula: the midpoint of a segment joining points [tex](x_1, y_1) \text{ and }(x_2, y_2) \text{ is } \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]. In other words, average the x's, then average the y's.
The midpoint of a diameter is the centre of the circle!
The midpoint of the segment joining (-3, 2k) and (5, k) is
[tex]\left(\frac{-3+5}{2}, \frac{2k+k}{2} \right)=\left(1,\frac{2k+k}{2}\right)=\left(1,\frac{3k}{2}\right)[/tex]
That last expression is the centre of the circle; it is the same as (1, 3).
[tex]\left(1,\frac{3k}{2}\right)=\left(1,3\right)\\\frac{3k}{2}=3\\3k=6\\k=2[/tex]
select the correct location on the table. Consider the following equations.f(x)=x^3+3x^2-x-6. g(x)= x^2-3x-2. Approximate the solution to the equation f(x)=g(x) using 3 iterations of successive approximation. Use the graph as a starting point. NO LINKS!!
Answer:
15/16
Step-by-step explanation:
For the purpose here, we define a starting value as the midpoint of the interval between the integers on either side of the solution. Those integers are 0 and 1, so our starting value for an approximation of x is 1/2.
Each iteration will evaluate the difference f(x)-g(x) at this approximation. If the difference has the sign that matches the difference at the left end of the interval, then the approximation replaces the left end. If the sign matches the difference at the right end, then the approximation replaces the right end. The iteration ends with an approximation that is the midpoint of the new interval.
The attachment shows that our intervals start at [0, 1] and proceed through [1/2, 1], [3/4, 1] to [7/8, 1]. The approximation at the end of the 3rd iteration is x ≈ 15/16.
__
Additional comment
The way this iterative process is defined, the denominator of the n-th approximation will be 2^(n+1). That is, the third iteration will result in a fraction with a denominator of 2^(3+1) = 2^4 = 16, as in 15/16.
As always with repetitive calculations, a graphing calculator or spreadsheet can reduce the work.
What is the simplest form of the radical expression?
V2+V5
V2-15
Sorry,
Neither of these are radical expressions.
Traits of a radical expression:
The radicand is positive. The radical index is as small as possible.The exponent of each factor of the radicand is a natural number less than the radical index.There are no fractions in the radicand.There are no radicals in the denominator of a fraction.When a number is decreased by 30 % of itself, the result is 14. What is the number?
Answer: 20
Step-by-step explanation:
We set up the equation.
Let the number = x
x-0.3*x = 14
0.7x = 14
x = 20
Find two consecutive whole numbers that square root 29 lies between
Answer:
25 and 36
Step-by-step explanation:
5x5=25
6x6=36
GUYS PLS HELP ME WITH THIS SUPER HARD MATH PROBLEM
2+2
What is 9 ounces equal to in pounds?
If each car is 16 centimeters long, what is the length of a 15-car train?
Answer:
yes, 240 cm is equal to 2.4 meters
Step-by-step explanation:
16cm times 15 cars is 240 cm. convert 240 cm to meters equals 2.4, so yes he has enough track for 15 cars on the train.
Answer:
240 cm
Step-by-step explanation:
multiply 16cm by 15 train cars to get 240 cm.
hope this helps and pls mark brainliest
how to spell spell spell
Answer:
Spell spell?
Step-by-step explanation:
Answer:
Reading, using a dictionary and playing online word games are all helpful.
Step-by-step explanation:
read.
Communicate.
Learn.
One number exceeds another by 5. The sum of the numbers is 25. What are the numbers?
The numbers are?
[tex]\bold{\huge{\pink{\underline{ Solution}}}}[/tex]
[tex]\bold{\underline{ Given :- }}[/tex]
The sum of two numbers is 25One number exceeds another by 5[tex]\bold{\underline{ To \: Find :- }}[/tex]
We have to find the two numbers.[tex]\bold{\underline{ Let's \: Begin:- }}[/tex]
Let the number be x
Therefore,
Another number be x + 5
According to the question,
[tex]\sf{ x + ( x + 5 ) = 25}[/tex]
[tex]\sf{ x + x + 5 = 25}[/tex]
[tex]\sf{ 2x + 5 = 25}[/tex]
[tex]\sf{ 2x = 25 - 5}[/tex]
[tex]\sf{ 2x = 20 }[/tex]
[tex]\sf{ x = 20/2}[/tex]
[tex]\sf{ x = 10 }[/tex]
Thus, The first number is 10
Therefore,
Another number will be
[tex]\sf{ = x + 5 }[/tex]
[tex]\sf{ = 10 + 5 }[/tex]
[tex]\sf{ = 15 }[/tex]
[tex]\sf{\red{Hence, \:The \:two \:numbers\: are \:10 \:and\: 15}}[/tex]
I need help solving this problem.
Answer:
30
Step-by-step explanation:
Let d represent the number of dozens of golf balls ordered. Then 12d is the number of balls.
The cost of the Light Hit balls will be (2.00)(12d). The cost of the Pro Sport balls will be (0.90)(12d). The difference in cost is ...
(2.00)(12d) -(0.90)(12d) = 396.00
1.10d = 33 . . . . . divide by 12, combine terms
d = 30 . . . . . . . divide by 1.10
30 dozen balls of each brand were ordered.
What is the slope of the line that contains the points (1,-1) and (-2, 8)?
Answer:
Slope= 3/-1 or -3
Step-by-step explanation:
-2-1= 3
8- -1= 9
STEP BY STEP, LONG DIVISION
Answer:
.53
Step-by-step explanation:
divide 8 by 15 and you get 0.53 explanation As a decimal 8/15 is 0.533 (3 repeating) or about 0.53. To convert 8/15 into a decimal value we simply divide 8 by 15. Since 15 cannot be divided into 8 we add a decimal and a zero then divide 15 into 8, giving us 5 with 5 remaining. Adding another zero allows us to divide 15 into 50 3-times with 5 remaining.
"A city official is modeling the demand for bus transportation as a function (,) of two variables:
= price of a daily bus ticket in $, = price of parking per day in a downtown garage in $.
She hypothesizes that demand varies inversely as and directly as 100^2.
Answer the following questions considering that with a daily bus ticket cost of $0.50 and parking price of $6 per day, there are 7,200 bus riders using the bus transportation system.
1. Write the mathematical function describing the demand for bus transportation:
(,) = _"
I'm not sure how to set this up. Also not clear on what "the demand varies inversely as x and directly as 100y^2" means in this context.
Answer:
Step-by-step explanation:
Order the angle measures , , and from least to greatest.
(Note that the figure is not drawn to scale.)
Mark the theorem below
The angle which measures biggest the opposite side of that angle is biggest.Here
8<10<12JH<IH<JINow
<I < <J < <HAnswer:
least to greatest: ∠I < ∠J < ∠H
Explanation:
angle I:
cosI = [tex]\frac{10^2+12^2-8^2}{2*10*12}[/tex]
I = [tex]cos^{-1} (\frac{3}{4} )[/tex]
I = 41.41°
angle H:
cosH = [tex]\frac{10^2+8^2-12^2}{2*10*8}[/tex]
H = [tex]cos^{-1} (\frac{1}{8} )[/tex]
H = 82.82°
angle J:
cosJ = [tex]\frac{8^2+12^2-10^2}{2*8*12}[/tex]
J = [tex]cos^{-1}(\frac{9}{16} )[/tex]
J = 55.77°
They sum up to 180°, so the steps are correct.
Your friend is going to buy a used car. The one he is considering costs $4000 and will lose value at a rate of 13% per year. How much less will it be worth in 3 years?
13% of $4000 is $520
If the $4000 car loses value at a rate of 13% each year for 3 years
$520 x 3 = $1560
Subtract this amount from $4000
$4000 - $1560 = $2440
Answer: In 3 years, the used car will be worth $2440 in 3 years
David has 400 yards of fencing and wishes to enclose a rectangular area against a pre-existing fence. What is the maximum area that David can have?
A. 5000 yd^2
B. 10000 yd^2
C. 15000 yd^2
D. 20000 yd^2
Answer: D
The maximum area that David can have is 10,000 yd^2
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as:
A = lw
l is the lengthw is the widthIf David has 400 yards of fencing, then;
P = 2(l +w)
400 = 2( l+ w)
200 = l + w
l = 200 - w
Substitute into the area
A = (200-w)w
A = 200w - w^2
If the area is maximized, then;
dA/dw = 0
dA/dw = 200 - 2w
2w =200
w = 100 yards
Recall that;
200 = l + w
l = 200 - 100
l = 100
The maximum area = 100 * 100
The maximum area = 10,000 yd^2
The maximum area that David can have is 10,000 yd^2
Learn more on area of rectangle here: https://brainly.com/question/2607596
concept of pattern in mathematics.
Step-by-step explanation:
A pattern is a series or sequence that repeats.
Math pattern are sequences to calculate or
solve a problem.
50 PTS!! WILL MARK BRAINLY
Explain why the equation (x-4)^2-28=8 has two solutions. 50 pt
heres what to fill out:
There are 2 solutions because the square root of any ______ number will give us both a ____ and _____ number as a solution .
fill in the blanks
Answer:
There are 2 solutions because the square root of any positive real number will give us both a positive and negative number as a solution .
Answer:
There are 2 solutions because the square root of any positive real number will give us both a positive and negative number as a solution.
Step-by-step explanation:
[tex](x-4)^2-28=8[/tex]
Add 28 to both sides:
[tex]\implies (x-4)^2=36[/tex]
Square root both sides:
[tex]\implies x-4=\pm 6[/tex]
[tex]\implies x=10, x=-2[/tex]
one hundred coins weigh 346 grams. How many does 1 coin weigh?
Answer:
3.46grams
Step-by-step explanation:
100coins = 346grams
1 coin = xgrams
then we cross multiply
346 = 100x
therefore x= 3.46grams
Hasan plans to choose a book from a section of the store where everything is 25% off
He writes the expression d - 0.25d to find the sale price of the book if the original
price is d dollars.
Bella correctly writes another expression, 0.75d, that will also find the sale price of the
book if the original price is d dollars.
Use the drop-down menus to explain what each part of Hasan's and Bella's
expressions mean.
Answer:
750
Step-by-step explanation:
Given:
discount of 25%
Hasan's equation: d - 0.25d
Bella's equation: 0.75d
d represents the original price.
0.25d represents the discount.
0.75d represents the discounted price.
Example: 1,000 is the price. d = 1,000
0.25d = 0.25(1000) = 250 this is the discount
0.75d = 0.75(1000) = 750 this is the discounted price
Hassan: d - 0.25d = 1000 - 250 = 750
Bella: 0.75d = 0.75(1000) = 750
please I'm in urgent need of help. what must be added to make (1/4)x^2-(2/3)xy a perfect square?.
Answer:
[tex]\bigg(\frac{2}{3} {y} \bigg)^{2}[/tex]
STEP BY STEP EXPLANATION
[tex] \frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy \\ \\ = \bigg(\frac{1}{2} {x} \bigg)^{2} - 2. \bigg(\frac{1}{2} {x} \bigg)\bigg( \frac{2}{3} y \bigg ) + \bigg(\frac{2}{3} {y} \bigg)^{2} \\ \\ = \bigg(\frac{1}{2} {x} - \frac{2}{3} y\bigg)^{2} \\ [/tex]
To make [tex] \red{\bold{\frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy}} [/tex] a perfect square we should add [tex]\purple{\bold{\bigg(\frac{2}{3} {y} \bigg)^{2}}}[/tex]
Answer:
[tex]4/9y^2[/tex]Step-by-step explanation:
Given:
[tex](1/4)x^2-(2/3)xy[/tex]Consider the identity:
[tex](a - b)^2=a^2-2ab+b^2[/tex]We can see that:
[tex]a^2=(1/2x)^2[/tex][tex]a = (1/2)x[/tex][tex]2ab = (2/3)xy[/tex]We can work out the value of b:
[tex]2ab = (2/3)xy = 2(1/2x)(2/3y)[/tex][tex]b=(2/3)y[/tex]Then we are missing b², what needs to be added:
[tex]b^2=(2/3y)^2=4/9y^2[/tex]If you select a card at random, what is the probability of getting a 4 of hearts
Answer:
LOVE I THINK LOL
Step-by-step explanation:
FOUR HEARTS MEAN YOU ARE GOING TO MARRY A LOVLY WOMAN LOL.
can ppl pls look at my three recent questions on my page and help me?? ill mark brainliest and there is pictures!
done answer your three lates question, now give me brainliest please