Answer:
1080÷9=120
hope it helps!
Simon's dog jumped into
a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to meet the dog
part a: how long is the bridge, in feet?
part b: how many feet did the dog swim?
The length of the bridge and the length the dog swam are 12.12 feet and 32.36 feet respectively
The problem forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.
Therefore, the length of the bridge and the length the dog swam can be calculated as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / x
cross multiply
x = 30 / tan 68
x = 12.12 ft
length of the bridge = 12.12 ft
The length the dog swim is as follows:
sin 68°= opposite / hypotenuse
sin 68° = 30 / h
h = 30 / sin 68
h = 32.3561767942
The distance the dog swimmed = 32.36 ft
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Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she expects it will cost her (between transportation, admission, souvenirs, and so on) to see each one. The prices are listed in either US dollars ($) or euros (€). Kari has a budget of $585 set aside for sightseeing. Item Cost Currency Tour of the Vatican 68. 77 € Tour of Rome 95. 41 € Tour of Naples 71. 06 $ Tour of Venice 113. 38 $ Tour of Milan 49. 69 € She would also like to tour Genoa as well, which would cost her €60. 85. If the conversion rate of US dollars to euros at the time of Kari’s visit is 1:0. 6859, how will this affect her budget? Round all dollar values to the nearest cent. A. Kari can see Genoa and have $60. 33 left in her budget. B. Kari can see Genoa and have $41. 38 left in her budget. C. Kari has almost exactly enough left in her budget to see Genoa. D. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.
Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.
What are Units conversions?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,
Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69
= €398.31
Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,
[tex]\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72[/tex]
The amount that is left with Kari,
[tex]\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)[/tex]
[tex]= \$585-\$580.72\\\\=\$4.28[/tex]
Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,
[tex]\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72[/tex]
Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.
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Which of the following functions represents an exponential decay with a 15% rate of change where A represents the initial value and x represents time in years
The function that represent this exponential decay is given as y = A(0.85)ˣ
What is an exponential function?
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Given that A is the initial value, there is a decay of 15%, hence:
b = 100% - 15% = 0.85
The function that represent this exponential decay is given as y = A(0.85)ˣ
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Circle A has a radius of 9.0 cm. The shortest distance between B and C on the circle is 8.5 cm. What is the approximate area of the shaded portion of circle A?
30.0 cm²
38.25 cm²
56.5 cm²
254.5 cm²
Answer:
38.25 cm²
Step-by-step explanation:
We use the formula for the length of an arc to find the central angle of the sector of the circle.
Then we use the formula for the area of a sector of a circle to find the area.
Length of arc of circle of radius r:
[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]
s = arc length
n = measure of the central angle of the sector
[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]
[tex] 8.5~cm = \dfrac{n}{360^\circ}2 \pi \times 9.0~cm[/tex]
[tex] n = 54.1^\circ [/tex]
Area of sector of circle of radius r:
[tex] A = \dfrac{n}{360^\circ} \pi r^2[/tex]
A = area of sector of circle
n = measure of the central angle of the sector
[tex] A = \dfrac{54.1^\circ}{360^\circ} \pi (9.0~cm)^2[/tex]
[tex] A= 38.25~cm^2 [/tex]
Match the vocabulary word with the correct definition.
1. answer choice 3
2. answer choice 2
3. answer choice 1
4. answer choice 4
5. answer choice 5
Answer:
1. the answer choice 3
2. the answer choice 2
3. the answer choice 1
4. the answer choice 4
5. the answer choice 5
Step-by-step explanation:
please guys help me if u answer it correctly I will brainlist u
Answer:
1= 40, 25, 10
2= 9,375, 46,875, 234,375
3= 234, 729, 2,187
4= 192, 384, 768
Write down an inequality to describe each of these solution sets.
Answer:
(a) x<=2
(b) x>-2
(c) x>=10
(d) x<-20
PLS HELP ME 50 POINTS AND I WILL MARK THE BRAINLIEST
Katie took a plane to visit her grandparents for the summer. at the airport, she paid to check 3 bags. since all of her bags were over the weight limit, she had to pay an additional $6 fee for each bag. katie paid a total of $102 to check her bags.
which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?
Answer:
it costs $26 to check a bag that's under the weight limit
Step-by-step explanation:
she had to pay an additional $6 fee for each of the 3 bags.($18 in total)
x= each bag
3x +18 = 102
3x=84
x=26
Answer:It costs $28 for a bag that is under the weight limit.
Step-by-step explanation:
3(x+6) = 102
3x+ 18 = 1023x+18=102
3x = 843x=84
x = 28x=28
20,10,5, ...
Find the 9th term.
Answer:
0.078125.
Step-by-step explanation:
This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.
nth term = a1 r^(n -1) so here:
9th term = 20(0.5)^(9-1)
= 20(0.5)^8
= 0.078125.
Mr bean contributed 500 naira to a business, Mr. Benson contributed 300 naira, and Mr. Robinson contributed 200 naira. what is Mr bean's share if they share a profit of 2000 naira according to the amount each contributed
Answer:
Mr Bean will get 1000 naira.
Step-by-step explanation:
They invested in the ratio of 5:3:2 , meaning that Mr Bean will get half the profit. 1/2 X 2000 = 1000
¿ A que distancia se encuentran dos masas de 60 kg y 80 kg, si la fuerza de
atracción entre ellas es de 3x10-31N.
Teniendo en cuenta la Ley Universal de la Gravitación, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.
Ley Universal de la GravitaciónLa Ley Universal de la Gravitación establece que los cuerpos, por el simple hecho de tener masa, experimentan una fuerza de atracción hacia otros cuerpos con masa, llamada fuerza gravitacional.
Esta ley dice que la fuerza gravitacional entre dos cuerpos es directamente proporcional al producto de sus masas e inversamente proporcional al cuadrado de la distancia que los separa.
Matemáticamente se expresa de la siguiente manera:
[tex]F=G\frac{Mm}{d^{2} }[/tex]
donde:
G es la constante gravitatoria universal, con un valor de 6,67×10⁻¹¹[tex]\frac{Nm^{2} }{kg^{2} }[/tex].M y m son las masas de los cuerpos que interactúan.d es la distancia que los separa.Distancia entre dos masasEn este caso, sabes:
F= 3×10⁻³¹ NM= 60 kgm= 80 kgReemplazando en la Ley Universal de la Gravitación:
[tex]3x10^{-31}N =6,67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{60 kg x80 kg}{d^{2} }[/tex]
Resolviendo:
[tex]\frac{3x10^{-31}N}{6,67x10^{-11}\frac{Nm^{2} }{kg^{2} }} = \frac{60 kg x80 kg}{d^{2} }[/tex]
[tex]4,4977x10^{-21} \frac{kg^{2} }{m^{2} } = \frac{4800 kg^{2} }{d^{2} }[/tex]
[tex]d^{2} x4,4977x10^{-21} \frac{kg^{2} }{m^{2} } =4800 kg^{2}[/tex]
[tex]d^{2} = \frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }[/tex]
[tex]d = \sqrt{\frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }}[/tex]
[tex]d = \sqrt{1,0672x10^{24} m^{2} }[/tex]
d= 1.033 ×10¹² m
Finalmente, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.
Aprende más acerca de la Ley Universal de la Gravitación:
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A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?
Answer: 33
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.
y+2x=2 find the slope of every line perpendicular to the graph of the equation
Answer:
[tex]m_{perpendicular}[/tex] = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
y + 2x = 2 ( subtract 2x from both sides )
y = - 2x + 2 ← in slope- intercept form
with slope m = - 2
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
the question is
on the image.
Answer:
PR = 7.99 cm (2 dp)
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
From inspection of the triangle:
a = PRb = PQ = 12.1 cmc = RQ = 14.5 cmSubstituting the given values into the formula;:
⇒ a² + b² = c²
⇒ PR² + 12.1² = 14.5²
⇒ PR² + 146.41 = 210.25
⇒ PR² = 210.25 - 146.41
⇒ PR² = 63.84
⇒ PR = ±√(63.84)
⇒ PR = ±7.99 (2 dp)
As distance is positive, PR = 7.99 cm (2 dp) only
(w+9)+3 write an expression equivalent
Answer:
[tex]\displaystyle 12 + w[/tex]
Explanation:
Just combine like-terms to arrive at your answer:
[tex]\displaystyle \boxed{12 + w} \Rightarrow [w + 9] + 3[/tex]
I am joyous to assist you at any time.
a yard is equal in length to three feet
Answer:
if it takes yards and turns it into feet then it just multiplies it by 3
Step-by-step explanation:
If you have 19 cups full of water and 45 gallons of water. what does the gallon equals to how many cups of water?
Answer:
45 divide by 19 =2 r 7 thanks
40 POINTS HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Solve for x.
4=8x - 10y
Answer:
x= 1/2 + 5y/4Of the students at Milton Middle School, 126 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?
The answer choices are:
A: 140
B: 210
C: 280
D: 350
Answer:
C
Step-by-step explanation:
[tex].45s = 126[/tex]
[tex]s = 280[/tex]
Volt Electronics sells a Y-Box game console for $207. The store markup on thr Y-Box is 38%. What was the wholesale price that the store paid for it?
The wholesale price that the store paid for the Y-Box game is $150.
What is the wholesale price?When the price of an item is marked up, it means that the price of the item was increased by a certain percentage. The good then becomes more expensive.
Wholesale price = selling price / ( 1 + percentage mark up)
$207 / (1+ 38)
$207 / (1.38) = $150
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Find the equation of the line that is perpendicular to the line Y equals 4X and passes through the point -10, -6. Write the equation in point slope form
Answer:
y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x ← is in slope- intercept form
with slope m = 4
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - [tex]\frac{1}{4}[/tex] and (a, b ) = (- 10, - 6 ) , then
y - (- 6) = - [tex]\frac{1}{4}[/tex] (x - (- 10) ) , that is
y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)
In the image below, why must triangle A'B'C be similar to ABC?
(Don't mind the chosen answer)
Answer: Option (3)
Step-by-step explanation:
You can get 2 pairs of corresponding angles from the parallel segments, meaning that they are similar by angle-angle.
Which is a way to borrow money from a bank financial institution to pay for a car?
Hey there!
The Best Ways to Borrow Money
Banks.
Credit Unions.
Peer-to-Peer Lending (P2P)
401(k) Plans.
Credit Cards.
Margin Accounts.
Public Agencies.
Financing Companies..
Answer:
There are many options like Banks, Credit Unions, Peer-to-Peer Lending (P2P), 401(k) Plans, Credit Cards, Margin Accounts, and Public Agencies.
a binder normally costs $8.99. use this information to answer the questions below
Answer:
You are asking a question that cannot be solved by anyone outside of your school.
Step-by-step explanation:
What information is below?
Assume that the following data were generated using a valid and appropriate methodology. XYZ Data Analytics, Inc. Received properly completed surveys from 523 members of the target population for a new product. One hundred seventy nine of those respondents indicated they would buy the new product at the proposed price
Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
179 out of 523 members indicated they would buy the new product at the proposed price, hence:
[tex]\pi = \frac{179}{523} = 0.3423[/tex]
Then the bounds of the interval are found as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830[/tex]
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A rocket is launched into the air. the projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the time since launch in seconds and h(t) is the height of the rocket at time t. when will the rocket be 196 feet in the air? after 2.0 seconds after 3.5 seconds after 4.5 seconds after 7.0 seconds
The rocket will attain a height of 196 feet in 3.5 seconds. Then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
A rocket is launched into the air.
The projectile motion of the rocket can be modeled using
h(t) = 112t – 16t²
where t is the time since the launch in seconds and h(t) is the height of the rocket at time t.
The time required for the rocket to be 196 feet in the air. Then we have
112t – 16t² = 196
16t² – 112t + 196 = 0
4t² – 28t + 49 = 0
On factorization we have
4t² – 28t + 49 = 0
(2t)² – 28t + 7² = 0
(2t – 7)² = 0
2t – 7 = 0
t = 3.5
Thus, the rocket will attain a height of 196 feet in 3.5 seconds.
More about the factorization link is given below.
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Answer:
B. after 3.5 seconds
Step-by-step explanation:
i took the test
also:
196 = 112t - 16t²
-16t² + 112t - 196 = 0
4t² - 28t + 49 = 0
(2t - 7)² = 0
2t - 7 = 0
t = 7/2 = 3.5 sec
What is the area of this figure?
Answer:
56 im pretty sure not my level but if i did it right it should be but if it is wrong im sorry
Step-by-step explanation:
Please help me with this
Answer:
11 cm
Step-by-step explanation:
1m = 100cm
By examining the graph carefully, we can see that the record in 1985 is 2.4 m. In 1970 it was slightly under 2.3 m. For it to be 15cm it would have to be 2.25m. For it to be 9 cm it would the record would have been above 2.3m.