Answer:
49degrees
Step-by-step explanation:
Using the cosine rule
u² = v²+w²-2vwcosU
Substitute the given values
51² = 61²+62²-2(61)(62)cosU
2601 = 3721+3844-7564 cosU
2601 = 7565-7564cosU
-7564cosU = 2601-7565
-7564cosU = -4964
CosU =-4964/-7564
CosU = 0.6563
U = arccos(0.6563)
U = 49degrees(to nearest degree)
What percentage of the Cub Scouts are at least as old as a Bear Scout?
Tigers (6 years old): 19%
• Wolves (7 years old): 36%
Bears (8 years old): 17%
Webelos (9 years old): 28%
.
The percentage of the cub scout which are atleast as old as the near scout refers to percentage of the cub scout which are atleast 8 years old. Hence, the percentage is 28%
The age of Bear scout = 8 years oldCub scouts which are atleast 8 years old :
Webelos = 9 years old Percentage of Webelos = 28%Hence, the percentage of cub scout which are atleast 8 years old is 28%
Therefore, the percentage of the cub scout that are atleast as old as the Bear scout is 28%
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A 20 foot ladder is set against the side of a house so that it reaches up 16 feet. If Christian grabs the ladder at its base and pulls it 2 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 14 ft.) Round to the nearest tenth of a foot.
Answer:
14.2
Step-by-step explanation:
The ladder forms a right angles triangle,
We have,
h=20
p=16
b=x
Using pythogorean theorem,
b=√(20^2-16^2)
√144
b=12
Now,
Since, she pulls it 2 cm,
b=x+2
b=14
p=?
Using pythogorean theorem,
p=√(20^2-14^2)
√204
p=14.2828568571
Rounding to the nearest tenth,
p=14.2
The side of the ladder will reach up is 14.3 feet.
What is trigonometric Ratios?"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".
For the given situation,
Hypotenuse, h = 20 feet
Perpendicular, p = 16 feet
Base = b
By Pythagoras theorem,
[tex]h^{2} = p^{2} + b^{2}[/tex]
⇒[tex]20^{2} = 16^{2}+b^{2}[/tex]
⇒[tex]b^{2} = 400-256[/tex]
⇒[tex]b^{2}=144[/tex]
⇒[tex]b=\sqrt{144}[/tex]
⇒[tex]b=12[/tex]
The ladder at the house is pulled 2 feet farther.
So, base = [tex]12+2[/tex]
⇒[tex]b=14[/tex]
Now, the side of the ladder will reach up
[tex]p^{2} = h^{2}-b^{2} \\[/tex]
⇒[tex]p^{2}=20^{2}-14^{2} \\[/tex]
⇒[tex]p^{2}=400-196[/tex]
⇒[tex]p^{2}=204[/tex]
⇒[tex]p=\sqrt{204}[/tex]
⇒[tex]p=14.28[/tex]
⇒[tex]p=14.3[/tex] (rounded off to nearest tenth)
Hence we can conclude that the side of the ladder will reach up is 14.3 feet.
Learn more about trigonometric ratios here
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you have 120 cows and 90% of them are female how many female cows do you have
Answer: 108
Step-by-step explanation:
If 90% are female, that means that female = 90% of 120, or 90/100 x 120
90/100 x 120 = 108, meaning that there are 108 female cows.
An office space in a city measures 38.4 feet by 43 feet and costs $22.50 per square foot. What is the selling price for the office space?
Question 12: There are only red, black and green pens in a box.
There are three times as many red pens as green pens.
There are four as many black pens than red pens.
Work out the probability of a black pen being selected
working pls !! :D
Answer:
3/4
Step-by-step explanation:
Let the number of black pen be b, the green pen be g and the red pen be r.
Probability of a black pen being selected = 12g/16g = 3/4
1 book/5 days is it a unit rate
Answer: No, it is not a unit rate
Explanation:
A unit rate is when the time value in the denominator is 1. So it would need to be "1 day" instead of "5 days" for it to be a unit rate. The term "unit" means "one".
To convert to a unit rate, we simply compute 1/5 = 0.20 to see that the unit rate is 0.20 books per day. This is the same as saying "0.20 books every 1 day", but I think the phrasing "books per day" is more common.
ILL GIVE BRAINLIEST PLS HELP
Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 9.5?
A.
It is the graph of y = x translated 9.5 units to the right.
B.
It is the graph of y = x translated 9.5 units up.
C.
It is the graph of y = x where the slope is increased by 9.5.
D.
It is the graph of y = x translated 9.5 units down.
Answer:
Im pretty sure is B but it might be C.
Step-by-step explanation:
the length of a rectangular is 2 m less than twice the width.if the erea of the rectangular is 112m², what is the width
What is the distance between 5,-6 and 5,6
Answer: 12
Step-by-step explanation:
I will assume those are coordinates.
The distance between 2 points is given by √ (x2 − x1)^2 + (y2 − y1)^2.
Replacing the values, we get √ (5 − 5)^2 + (6 − -6)^2 = √0+144 = 12
solve the inequality. 1/3b + 1 < -6
Answer:
b<-21
Step-by-step explanation:
1/3b+1<-6
1/3b<-7
*3 *3
b<-21
Answer:
b < - 21
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] b + 1 < - 6 ( subtract 1 from both sides )
[tex]\frac{1}{3}[/tex] b < - 7 ( multiply both sides by 3 to clear the fraction )
b < - 21
i need help how do you do this
Answer:
very easy just follow instruction
A group of friends wants to go to the amusement park. They have no more than $110 to spend on parking and admission. Parking is $17.75, and tickets cost $20.50 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.
Answer:
Inequality: 20.50x + $17.75 ≤ $110
Solve: 4 people can go to the amusement park
Explaination:
Inequality:
$110 = Amount of money they have
$17.75 = Parking Cost
$20.50 = Cost of tickets per person
Because they only have $110, they can't spend more than that amount.
Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (aka x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:
20.50x + $17.75 ≤ $110
Solve:
$110 - $17.75 = $92.25 (92.25 is how much is left for tickets after subtracting the parking cost)
$20.50 x 4 = $82 (4 tickets can be bought for the price of $20.50)
$92.25 - $82 = $10.25 (10.25 isn't enough for another person)
So, the solution to the inequality is 4 people can go to the amusement park.
ill give brainliest whoever does it right pls fast
Answer:
1.Train b travels 125 miles in four hours.
2. Train A's speed is 50 mph and train b's speed is 31.25 mph
srry about the last one but i don't know what the answer is since i don't know the choices for it
Does the graph represent a function? Why or why not?
Answer:
This graph does represent a function because when you do the vertical line test, none of the x-values intercept more than once.
Step-by-step explanation:
Hope this helps!
solve by substitution.
5x-3y=-4
x+y=-4
Answer:
x=-2,y=-2
Step-by-step explanation:
x+y=-4
x=-4-y--(3)
substitute (3) in (1)
5(-4-y) -3y=-4
-20-5y-3y=-4
-8y=16
y=16/-8
y=-2
substitute y in (3)
x=-4-(-2)
x=-2
$40 jacket is 25% off how much will u save
Answer:
10 dollars
Step-by-step explanation:
compro una bicicleta y pago en tres cuotas. En el primer tramo pago 3/10 del total, en el segundo pago 4/5 del resto, y en el tercero solo tengo que pagar 21 $. ¿Cuánto cuesta la bicicleta?
Help me answer please?
Answer:
For #1 add up all males and females and then create a chart of how many bars males and females ate
There are 109 nanoseconds in 1 second.
Find the number of nanoseconds in 5 minutes, giving your answer in standard form.
Find the area of the following kite:
Answer:
[tex]48 cm^2[/tex]
Step-by-step explanation:
Each of the small triangles are right, so we can add up all the small triangle's areas to find the total area.
The 4-by-10 triangle: The area is [tex]4*10/2=40/2=20[/tex].
The other 4-by-10 triangle has the same side lengths and hence the same area, so the area is [tex]20[/tex].
The 4-by-4 triangle: The area is [tex]4*4/2=8/2=4[/tex].
The other 4-by-4 triangle has the same area, [tex]4[/tex].
The total area is [tex]20+20+4+4=\boxed{48} cm^2[/tex].
find the value of a + 1a
Answer:
2a
Step-by-step explanation:
a+1a is the same as a+a=2a
help meeeeeeeeeeeeeeeeeeeeeeeee
Answer:
118.75
Step-by-step explanation:
47.50 multiplied by 2.5 would equal 118.75
ur welcome :)
2 1/16 as a improper fraction
Answer:
13/6
Step-by-step explanation:
Answer: 33/16
Step-by-step explanation: 2*16 = 32... 32+1= 33
Please help!!!!!!!!!!!!!!!!!!!!!!!!!! answer both
Solution 1 :-
Given expression ,
[tex]\implies 13^{\frac{3}{4}} [/tex]
We know that, [tex] a^{\frac{m}{n}} = \sqrt[n]{a^m} [/tex]
Therefore , this can be written as ,
[tex]\implies \sqrt[4]{13^3} [/tex]
Solution 2:-
Given expression ,
[tex]\implies \sqrt[3]{24^{10}} [/tex]
We know that,[tex] a^{\frac{m}{n}} = \sqrt[n]{a^m} [/tex]
Therefore, this can be written as ,
[tex]\implies 24^{\frac{10}{3}}[/tex]
Answer: 1.) D.
--------------------------------------------------------------------------------------------------------------
2.) C. (24 10/3)
Write a function rule in terms of x and y for the line that contains the points (-7.4, -9.7) and ( 8.4, 6.1) .
Answer:
y = x + -2.3
x = -y - 2.3 (but why would one need this?...)
Step-by-step explanation:
(6.1 - (-9.7))/(8.4 - (-7.4)) = 15.8/15.8 = 1
6.1 = 8.4 + b
b = -2.3
PLEASE HELP SUPER FAST
Answer:
c
Step-by-step explanation:
IN THE FIGURE BC IS PARALLEL TO AD. AREA OF TRIANGLE ABC IS 100 cm². WHAT IS THE AREA OF TRIANGLE BCD
Answer:
150 cm2
Step-by-step explanation:
double of triangle abc is 200
this is in middle of both
QUICK QUESTION: did I do this right?
Answer:
Yup looks correct
Step-by-step explanation:
Lol I verified using the calculator :)
Mr. Robins earns a commision on each airfare he books. At the end of the day, he had booked $208.60 worth of airfare and earned $31.29. What is Mr.Robins commision rate
Subtract.
-3-6-(-1)
Plot the solution on the number line.
Answer:
-8
Step-by-step explanation:
Start by putting a dot on the number line at -3. As we are to subtract 6, start at -3 and move 6 units to the left, arriving at -9. Finally, recognizing that -(-1) = +1, move 1 unit to the right from -9, ending up at -8.