PLLLSSSSS ANSWER THIS 40 POINTS
A classmate walks into class and states that he has an extra ticket to a classical music concert on Friday night. He asks everyone in the class to put their name on a piece of paper and put it in a basket. He plans to draw from the basket to choose the person who will attend the concert with him. If there are 32 other people in class that night, what is your chance of being chosen to attend the concert? Round your answer to four decimal places, if necessary.
Just please help me, im trying to cram multiple things at once (house is crazy) and I just cant seem to concentrate and understand these.
Answer:
Step-by-step explanation:
here is how you find the answer
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
now apply the above rules to the given triangle
where we are given the angle of 30° and the Adj side of 27
y is the Hyp of this triangle and x is the Opp side of this triangle, now plug in the given values as follows
so use CAH Cos(30) = 27 / Hyp
Hyp = 27 / Cos(30)
Hyp = 27 / ([tex]\sqrt{3}[/tex] / 2)
Hyp = 27 * 2 / [tex]\sqrt{3}[/tex]
Hyp = 54 / [tex]\sqrt{3}[/tex]
y = 54 / [tex]\sqrt{3}[/tex]
use SOH, since we know the exact value for the Hyp from above
Sin(30) = Opp / ( 54 / [tex]\sqrt{3}[/tex] )
Sin(30) * 54 / [tex]\sqrt{3}[/tex] = Opp
1/2 * 54 / [tex]\sqrt{3}[/tex] = Opp
27 / [tex]\sqrt{3}[/tex] = Opp
x = 27 / [tex]\sqrt{3}[/tex]
:)
A teacher is planning a class trip to the aquarium. The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, and how many are for students?
Answer:
75 student tickets and 10 chaperone tickets
Step-by-step explanation:
First find out how many groups there are total by dividing 85 by 1 group total of 17 (15 students 2 chaperones).
85 / 17 = 5
Since you now know there are five groups of 15 students and 2 chaperones all you have to do is multiply 5 time 15 students and 5 times 2 chaperones.
15 x 5 = 75 for students
5 x 2 = 10 for chaperones
Mr. Smith decided to regularly wash his head with an antidandruff shampoo every three days. He began on January 1st, 2017 on Saturday. On what day of the week will he wash his head for the last time in 2017?
Answer:
If the first day is January 1st, 2017 on a "sunday"(Not saturday), that means that the last day is December 31, 2017 on a sunday. (Pog moment for mee)
Step-by-step explanation:
An initial investment of $1000 grows at an interest rate of 4% per year. How long will it take that investment to reach $1,500? Assume that you make no further deposits or withdrawals from the investment account. Round to the nearest tenth of a year.
Answer:
it would take 12.5 or 12 and a half years
Step-by-step explanation:
Please solve this for me
Answer:
Step-by-step explanation:
F
look at triangle ABC
ABD is an isosceles triangle where AB=AD
work out sizes of angle x,y and z
Answer:
Step-by-step explanation:
x+110=180
x=70 degrees
y+40+110=180
y=30 degrees
z+70+90=180
z=20 degrees
Quadrilateral QRST has diagonals that are perpendicular but not congruent. Which type of quadrilateral could describe quadrilateral QRST?
Answer:
Rhombus
Step-by-step explanation:
This undoubtedly has to be a rhombus. When you look at other quadrilaterals for example and want to judge and or differentiate, we see that in the case of a square, the diagonals are equal to one another and they are not congruent. Same can be applied to that of a rectangle as well, it's diagonals aren't congruent, even if they appear perpendicular.
On the other hand, the diagonals of a rhombus is both perpendicular, and at the same time congruent. And thus, that's our answer
Give two solutions of the inequality: p ≤ 3
Answer:
3,2
Step-by-step explanation:
3 is equal to 3 which can be it and 2 is less than 3
Lian buys 10 packs of batteries. C batteries are sold in packs of 6. AAA batteries are sold in packs of 8. Lian buys 72 batteries in all. Let x be the number of packs of C batteries. Let y be the number of packs of AAA batteries. Write an equation to find how many packs of each type of battery Lian buys.
i need this right awayyy just the equation pleaseeee
Answer:
x + y = 10
6x + 8y = 72
Step-by-step explanation:
If P is the incenter of triangle JKL, find PJ.
Answer:
PJ = 41.34
Step-by-step explanation:
P is incenter, three angles bisector meet
∠MJP ≅ ∠OJP
PM = PN = PO = 22 (radius: property of incenter)
∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO
ΔJPM ≅ ΔJPO (ASA) or (SAS)
LM = JO
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
PJ = √35²+22² = √1709 = 41.34
The value of PJ in triangle KJL is 41.32 units.
What is incenter?The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
Given that, P is incenter of the triangle KJL,
Considering the triangles ΔMJP and ΔOJP
PM = PO (property of incenter)
∠ JMP ≅ ∠ JOP
JP is common segment.
ΔJPM ≅ ΔJPO (by SAS rule)
JM = JO (CPCTC)
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
Using the Pythagoras theorem,
PJ² = PM²+JM²
PJ = √35²+22² = √1709 = 41.34
Hence, The value of PJ in triangle KJL is 41.32 units.
For more references on incenter, click;
https://brainly.com/question/29480777
#SPJ5
help me out, please!
Answer:
y = 2/3(x - 3)
Step-by-step explanation:
slope of the line is 2/3
we can use point (3,0)
formula: y - y = m(x - x)
y - 0 = 2/3 (x - 3)
y = 2/3(x - 3)
Translate triangle ABC 4 units right and 5 units down H E L P
A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?
Answer: 50 inches
Step-by-step explanation:
It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y = 0.25x + 32, where y represents the total cost of renting a car, and x represents the number of miles driven over 150 miles.
a.) What is the slope and what does it represent in the context of this problem?
b.) What is the y- intercept and what does it represent in the context of this problem?
Answer:
Read explanation
Step-by-step explanation:
A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.
B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.
A golf group planned a trip to Squaw Valley, and 104 of the members signed up to go. If this is 10% of the group, how many members does the golf group have in total?
Group of answer choices
a 1040 members
b 114 members
c 110 members
d 204 members
The ratio of pitchers to catchers at a baseball camp was 11:4. If there were 64 catchers, how many pitchers were at the camp?
Answer:
There were 176 pitchers at the camp.
Step-by-step explanation:
Given that,
The ratio of pitchers to catchers at a baseball camp was 11:4.
Let pitchers be 11x and catachers be 4x.
Total catchers = 64
4x = 64
x = 16
So,
Pitchers = 11x
= 11(16)
= 176
Hence, there were 176 pitchers at the camp.
PLS PLS PLS PLS HELP!
Brainliest! Due in 15 mins! Please!
f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)
f(3)=?
Answer:
-10
Step-by-step explanation:
(-6)+(-4)
I NEED HELP ASAP!!!! PLZ!!!!
Answer:
10.1
Step-by-step explanation:
Step-by-step explanation:
it goes by this formula
[tex]a = \frac{1}{2} bh \\ \\ \\ a = \frac{1}{2} 6 \times 4.1 = 12.3[/tex]
A trapezoid , having a height of 14 cm , has an area
of 224 cm² . The big base measures 2 cm more than the
small base. What are the lengths of the two bases ?
it should be solved as a system
Answer:
17 cm and 15 cm.
Step-by-step explanation:
Area of a trapezoid = h/2(a + b) where h = height and a and b are the 2 bases.
so we have:
(14/2)(a + b) = 224 Distributing:
7a + 7b = 224 Dividing thru by 7:
a + b = 32
Also we have
a - b = 2 where a = longest base.
Adding the last 2 equations:
2a = 34
a = 17
So b = 17 - 2 = 15.
The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 for π.
Answer:
1,436.8
Step-by-step explanation:
1 point
When solving the system of equations below, what is the appropriate
substitution?
7x + 10y = -1
x = 5y - 8
O 7x + 10(5y - 8) = -1
7x + 10y = 5y - 8
O 7(5y - 8) + 10y = -1
O -1 = 5y- 8
Álgebra/help
There are 4 consecutive integers that have sum of 266 . Which integers are they?
Answer:
the four consecutive integers are 65 , 66 , 67 and 68 .
Step-by-step explanation:
you should let the first integer be x
so that would leave the 2nd as x + 1
The 3rd would be x + 2
and the 4rth would be x + 3
so X + X + 1 + X + 2 + X +3 =266
you can combine your like terms:
X+X+X+X= 4x
and 1+2+3=6
then you do simple algebra:
4x= 266-6
266-6= 260
4x=260
divide both sides by 4
260/4 is 65
x = 65
65 is your answer then you go up by 3 numbers.
hope I helped!!!
if 100g can make 24 cakes, how much flour is needed to make 48?
Answer:
200g
Step-by-step explanation:
24x2=48
100x2=200
A football field measures 100m by 72m . A school marks a football field similar in shape to a full size football field but only 30m long . What is its width ?
Answer: 240 m
Step-by-step explanation:
Given
Football field measures [tex]100\ m\times 72\ m[/tex]
Another similar field of length
[tex]L=30\ m[/tex]
and width, say W is marked
So, their area must be the same
[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]
The width of the football field is 41.7m
The football measures 100m by 72 m. The school football field is similar.
Similar rectanglesFor similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:
100 / w = 72 / 30cross multiply
3000 = 72w
divide both sides by 72
w = 3000 / 72
w = 41.6666666667
w = 41.7 m
learn more on proportion here: https://brainly.com/question/582443
Help me with this!!!!
Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.
HELP ASAP PLEASE!!!
What is the degree measure of ABC given that A=25 & C=135?
Answer:
m∠ABC = 110°
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles"
m∠BAC + m∠ABC = 135°
25° + m∠ABC = 135°
m∠ABC = 135° - 25°
= 110°
Therefore, measure of angle ABC is 110°.
simplify the expression 3x -2y+6-6x+5y-8
Answer:
-3x + 3y - 2
Step-by-step explanation:
Collect like terms and add/subtract
How are the SAS Similarity Theorem and the SAS Congruence Postulate alike? How are they different? did not mean to hit that answer.
Please help.
Algebra.