Answer:
19.99feetStep-by-step explanation:
The set up will form a right angles triangle:
First we need to get the angle of elevation of the first ladder using SOH, CAH, TOA
The length of the ladder will be the hypotenuse = 10foot
The opposite will be the height of the building = 8ft
Using Sin(theta) = opposite/hyp
sin Theta = 8/10
theta = sin^{-1}0.8
theta = 53.13°
If the length of the ladder is now 25 foot, the height of the building will be calculated as shown;
sin Theta = h/25
sin53.13 = h/25
h = 25sin53.13
h = 19.99feet
Hence the height of the building will be 19.99feet
There are 24 sweets in a bag. 4 sweets are mint. 2 are humbugs. 3 sweets are jellies. 1 sweet is picked at random. What is the probability of picking a jelly sweet give your answer in fraction
Answer:
1/11Step-by-step explanation:
given that the sample space is
24 sweets in a bag.
4 sweets are mint.
2 are humbugs.
3 sweets are jellies
sample size= 24+4+2+3= 33
The probability is the number of possible outcome/the number of event
the probability of picking a jelly is
Pr(jelly)=3/33
Pr(jelly)=1/11
On a hot summers day, 613 people used the public swimming pool. The daily prices are 1.75 dollars for children and 2 dollars fir adults. The recipts for admission totaled 1127 dollars. How many children and how many adults swam at the public pool that day?
Answer:396 children and 217 adults swam at the pool.
Step-by-step explanation:
Step 1
let Children be represented as x
and Adults be represented as y
therefore
Step 2
x + y = 613.........equation 1 -----represents the 613 people (children and adults) that used the public swimming pool.
And
1.75x + 2.00y = 1127... equation 2------represents the daily prices which totaled 1127 dollars
Making x subject formulae in equation 1 and substituting in equation 2
x= 613-y
1.75(613-y) + 2.00y = 1127
1072.75 -1.75y+ 2y=1127
1127-1072.5 = -1.75y +2y
54.25=0.25y
y=54.25/0.25
y=217
Substitute y = 218 in (1)
x + 217= 613
x = 613-217
x = 396
396 children and 217 adults swam at the pool.
Answer: 396 children and 217 adults tickets were sold at the pool.
Step-by-step explanation:
Given data:
Number of people who used the pool = 613
Total sum on the receipt = 1127.
Price of adult tickets = $2
Price for children tickets = 1.75
Solution:
Let
Children = x
Adults = y
x + y = 613......... equation 1
1.75x + 2y = 1127..... equation 2
Multiply equation (1) by 2
2x + 2y = 1226........ equation 3
1.75x + 2y= 1127
Subtract (2) from (3)
0.25x = 99
x = 396
Substitute x = 396 in equation (1)
x + y = 613
396 + y = 613
y = 217
396 children and 217 adults tickets were sold at the pool.
Finding Equivalent Ratios
Which of these tables is a ratio table?
A
B
B
А
A
B
B
T
A
2
5
1
1
3
7
4.
12
о
o
o
+
o
1
3
6
4
7
3
Il
8
13
17
5
11
.6
24
3
9
9
What is the solution: –9x + 4 –12 = 64
Answer:
Simplifying
-9x + 4 + -12 = 64
Reorder the terms:
4 + -12 + -9x = 64
Combine like terms: 4 + -12 = -8
-8 + -9x = 64
Solving
-8 + -9x = 64
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + -9x = 64 + 8
Combine like terms: -8 + 8 = 0
0 + -9x = 64 + 8
-9x = 64 + 8
Combine like terms: 64 + 8 = 72
-9x = 72
Divide each side by '-9'.
x = -8
Simplifying
x = -8
Answer:
-8
Step-by-step explanation:
-9x + 4 - 12 = 64
-9x = 64 - 4 + 12
-9x = 72
x = -8
please help asap!!!!
Step-by-step explanation:
Lets plug in the numbers for each equations:
1. 4 x 3 + -5 = 7
and 4 times 3 equals 12. minus 5 is 7.
2. 4^3 is just 64
3. -5--5
we can just change the double negative to a plus:
-5 + 5 = 0
Triangle IJK has the coordinates listed:
I (5, -8) J (10, -8) K (7, -4)
Where is J' after a reflection over the y-axis?
J' ( , )
The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 18 seconds?
a.
4536 ft
b.
5832 ft
c.
5184 ft
d.
288 ft
Answer:
5184ft
Step-by-step explanation:
d= distance an object falls when dropped from a tower
t= time it takes to fall
According to the first sentence,
d(sign of proportionality) t^2
Introducing a constant k:
d =kt^2
when d=144ft ,t=3sec
Substitute the values to find k
144 =k(3^2)
144 = 9k
k = 144/9
k =16
Substitute k =16 and t =18sec
d =kt^2
d =16×(18^2)
d =16× 324
d = 5184ft
Solve the equation: 3(x - 5) = x + 21*
12
7
18
-22
Sally grew 18 flowers with 9 seed packets. How many seed packets does Sally need to have a
total of 44 flowers in her garden? Assume the relationship is directly proportional.
Answer:
22 seed packets
Step-by-step explanation:
we can look at this in a couple of ways. the first way to solve this is an algebraic problem. we know that 18 flowers came from 9 packets so 18 is going to be on one side of the equation while 9 is going to be on the other. we dont know how many seeds were in each packet though so we will use x to represent the amount of seeds. now our equation looks like this: 18 = 9x. heres how to solve it:
given: 18 = 9x
to get x alone we divide each side by 9 because its the opposite of muliplication: 2 = x
answer: x = 2 seeds per packet
another way we could figure this out is by using proportions. when we see the ratio flowers to packet is 18:9, we can tell that it needs to be simplified. we know both 9 and 18 are divisible by 9 so when we do that we get the answer, our ratio of flowers to packets is 2:1.
next, we need to look back at how we solved that problem we just did, and plug in our new numbers. when doing it algebraically, we follow these steps:
plug in: 44 = (x)2
x times 2 is equal to 2x: 44 = 2x
to get x alone divide each side by 2 because its the opposite of multiplication: 22 = x
answer: x = 22
if we want to solve it using ratios and proportionalities, we set it up flowers to packets like before so we have the ratio 44:x. seeing that the ratio was 2:1 last time, we know that 44 is 2 times x, or x is 1/2 (half) of 44. so we can find half of 44 to get x. half of 44 is 22 so 44:22 is the ratio's answer.
i hope this helped :))
Trevor is training for a race. He swims 12 lap in 45 minute. At that rate, how many minutes does it take Trevor to swim each lap?
Which pair of quantities form a proportional relationship? Select all that apply
Answer:
Yes
Step-by-step explanation:
First you gotta add the yes, and ten you multiply it by the no so yesXno but then you are left with a negative answer so then you wanna add an extra Yes to even it out and then it becomes YesXno+Yes and then you get your answer which is yes. I learned this from the man down the street that lives near the gas station
At that rate, the time taken to finish each lap will be 3.75 minutes each lap. The pair of quantities that form a proportional relationship will be 15: 4.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Trevor is training for a race. He swims 12 laps in 45 minutes.
At that rate, the time taken to finish each lap will be
⇒ 45 / 12
⇒ 3.75 minutes each lap
At that rate, the time taken to finish each lap will be 3.75 minutes each lap.
The pair of quantities that form a proportional relationship will be 15: 4.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ6
Deez clothing is having a discount of 40% on all shirts let X represent the regular price of any show in the store enter an expression that can be used to find the sale price of any show in the store I know
Answer:
0.6X
Step-by-step explanation:
Given that :
Discount on shirt = 40%
Regular price of shirt = X
The sales price of shirt after applying the discount will become :
Regular price - discount on price
X - (40% of X)
X - (0.4x)
= 0.6x
Hence.the sales price of shirt will be : 0.6x
What is (x + y + 3)(x + y - 4)
Answer:
x^2+2xy+y^2-x-y-12.
Is there anyone that can always help with my algebra 2 because this class confusing
Answer:
Step-by-step explanation:
I bet we can help each other I would like to be ur friend.:)
round 16.928 to the nearest hundredth
Answer:
16.93
Step-by-step explanation:
PLEASE HELP! I WILL GIVE BRAINLIST!
If a fiction book's story begins on page seven and ends on page one hundred one, and you're required to read the story by next Monday, how many pages do you have to read?
Answer: 93 pages
Explanation: You are required to read 93 pages by next Monday.
Plz mark brainliest:)
tammy will order both macaroni and potato salad. She estimates that she will spend a total of $38 on 7 pounds of salad. She uses this system of equations to show how many pounds of macaroni salad, m, and potato salad, p, she plans to buy. 5m + 6p = 38 m + p = 7 How many pounds of each salad does Tammy plan to buy?
Answer: Marcaroni salad = 4 pounds
Potatoes salad = 3 pounds
Step-by-step explanation:
From the question,
5m + 6p = 38 ......... i
m + p = 7 .......... ii
Multiply equation i by 1
Multiply equation ii by 5
5m + 6p = 38 ....... iii
5m + 5p = 35 ....... iv
Subtract equation iv from iii
p = 3
Since m+p = 7
Therefore, m + 3 = 7
m = 7-3
m = 4
Marcaroni salad = 4 pounds
Potatoes salad = 3 pounds
En una piscina hay 1500 litros y el desagüe bota en el despiche medio litro por minuto. La función que describe la cantidad de litros (lt) que habrá en la piscina a las x horas después de abrir el despiche del desagüe es
Answer:
1500 - 30x
Step-by-step explanation:
Aquí, queremos obtener una función que describa la cantidad de litros que quedan en la piscina a las x horas después de abrir la salida de drenaje.
De la pregunta, la capacidad total de la piscina. es de 1.500 litros.
La tasa de goteo es de 0,5 litros por minuto.
x horas es lo mismo que 60 * x = 60x minutos
La cantidad de litros caídos en 60x minutos será 60x * 0,5 litros = 30x litros.
Entonces el número de litros que quedan será; 1500 - 30x
Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Which best describes his error? Ankur multiplied the compatible numbers 15 and –3. Ankur found that the quotient of a positive number and a negative number is negative. Ankur found that the quotient of a positive number and a negative number is positive. Ankur added the compatible numbers 15 and –3.
Answer:
Ankur found that the quotient of a positive number and a negative number is negative
Step-by-step explanation:
Given that:
Quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3
Mathematically,
( 15 1/3) ÷ (-4 2/3) = 3
Here,
Dividend = 15 1/3 (positive)
Divisor = - 4 2/3 (negative)
Dividing a positive Dividend by a negative Divisor will always give a negative quotient
Hence,
15 1/3 = 46 / 3
-4 2/3 = - 14 / 3
46/3 ÷ - 14/3
= 46/3 * -3 / 14
Ankur must have either forgotten or neglected the negative sign in the divisor
The correct option which describes Ankur's error is: Ankur found that the quotient of a positive number and a negative number is positive.
Given that,
Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3
We have to find,
Which best describes his error?
According to the question,
The two [tex]15\dfrac{1}{3}[/tex] and [tex]-4\dfrac{2}{3}[/tex] number are mixed fractions.
Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3
Then,
Convert the equation into an improper fraction,
[tex]= \rm \dfrac{15\dfrac{1}{3}}{-4\dfrac{2}{3}} \\\\\ Convert \ into \ improper \ fraction\\\\= \dfrac{\dfrac{15\times3+1}{3}}{\dfrac{-4\times 3+2}{3}} \\\\[/tex]
Now simplify the equation,
[tex]= \dfrac{\dfrac{46}{3}}{\dfrac{-10}{3}} \\\\\\ = \dfrac{\dfrac{46}{3} } {\dfrac{3}{-10}} \\\\\\ = \dfrac{-3}{14}[/tex]
The mistake he has committed, while dividing two fractions, he must have forgotten that one of the fractions which is in the denominator bears a negative sign before it.
Ankur forgot to put the negative sign before 3.
Hence, The correct option which describes Ankur's error is: Ankur found that the quotient of a positive number and a negative number is positive.
For more details refer to the link given below.
https://brainly.com/question/3676484
Can anybody please help me with question 2 I would really appreciate it so so much . Please and thank you .
Answer:
b. or c.
Step-by-step explanation:
Answer:
The anaswers are A and B
Step-by-step explanation:
What is x? −5(−x−4)−3x−5= 13
Answer:
-1
Step-by-step explanation:
-5(-x-4)-3x-5=13
5x+20-3x-5=13
2x+15=13
2x=-2
x=-1
What is the sum of 0.72 + 0.19
Answer:
0.91
Step-by-step explanation:
Answer: 0.91
Step-by-step explanation:
Note: it is not the second answer.
Answer:
the answer is a or b and i think a
Step-by-step explanation:
Answer:
fourth option
Step-by-step explanation:
In a right triangle with legs x ( horizontal leg) and y ( vertical leg) and hypotenuse r, then
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{r}[/tex]
what is this can y’all help I’ll give thanks even 5 stars
Answer:
no
Step-by-step explanation:
486×8=3888 so its not enough
Answer:
No they wont
Step-by-step explanation:
they will not reach their goal of 4,000 they will only have 3,888 cans of food.
486 x 8 = 3,888
The sum of one half of a number and one third of that number is 25. Find the number helpppppp
Answer:
30
Step-by-step explanation:
1/3x+1/2x=25
3x+2x/6=25
5x/6=25
5x=25*6
x=25*6/5
x=30
so, the number is 30
plz mark brainest
Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design. Which equation fits this situation if he spends $165.
Answer:
22.50 + 9.50x = 165
*** x represents the number of shirts he's buying***
Which one?
A. B. C. or D.
A box is dragged across 202020 meters with a force of 606060 Newtons, which are\dfrac{\text{kg}\cdot\text{m}}{\text{s}^2} s 2 kg⋅m start fraction, start text, k, g, end text, dot, start text, m, end text, divided by, start text, s, end text, squared, end fraction. What calculation will give us the work done, in Joules (which are \dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2} s 2 kg⋅m 2 start fraction, start text, k, g, end text, dot, start text, m, end text, squared, divided by, start text, s, end text, squared, end fraction)? Choose 1 answer:
Answer: 1200 Joules
Step-by-step explanation:
Given that:
Distance (d) across which bag is dragged = 20 meters
Applied force (F) = 60 N
The workdone is the product of the applied force and the distance through which the force is applied ;
Hence,
Workdone = Force * Distance
Workdone = 60 N * 20 m
Workdone = 1200Nm
OR 1200 Joules
The work done required to drag box is 1200 Joule.
Work done is defined as the energy transfer that occurs when an object is moved over a distance by an external force .
[tex]Workdone=force*displacement+cos\theta[/tex]
Where [tex]\theta[/tex] is angle between direction of force and displacement.
Here given that force F = 60 N and Displacement = 20 meters
Since, Displacement of box is in the direction of force.
Therefore, [tex]\theta=0[/tex] degree.
Substituting all the values.
[tex]W=60*20*cos0\\\\W=1200*1\\\\W=1200joule[/tex]
Learn more:
https://brainly.com/question/21854305
HELPPPPP Its late already plzzzzzz ill give brainliest 25 poits per each questions its a post test plzzzzz
Which is the simplified form of the expression 3(7/5x + 4) -2(3/2 - 5/4x) a) -39/5x - 11/2 b)67/10x + 9 c) 3/10x + 5/2 d) 15 + 76/10x
Answer:
B is the answer
Step-by-step explanation:
Distribute and Combine Like Terms
Step-by-step explanation:
3(7/5x + 4)-2(3/2-5/4x)
21/5x + 12 - 3 + 5/2*
21/5x + 5/2 + 12 - 3
67/10x + 9
the correct answer is b
I'm sorry if these questions are to easy I cant even think straight right now so sorry
Answer:
4: 5
Step-by-step explanation:
Because if you divide 16 by 4 and 20 by 4 you get 4:5, and that is one of the options.
Hope this helped mark this as brainliest if it did!
Answer:
4/5
hope this helped :)
5/3+b=3/7b +1
please answer ASAP :(