Answers
In a 30 · 60 · 90 triangle, the smallest side is x, the hypotenuse is 2x and the longer leg is x√3. So, in our 30 · 60 · 90, we have the hypotenuse is 6, so 6 ÷ 2 = 3 to give us the smallest leg (in this case is y), so y = 3. Because the longer leg is √3 · the smallest leg, 3√3 is the longest leg.
x = 3√3
y = 3
Related Questions
Ricky made approximately 4 goal points for every 7 of his shots on goal. What is the probability that Ricky would make 2 goal points on two shots in a row during the season?
Answers
Given:
Ricky made approximately 4 goal points for every 7 of his shots on goal.
To find:
The probability that Ricky would make 2 goal points on two shots in a row during the season.
Solution:
Using the given information, the probability of a goal point on one shot is:
[tex]P(one\ goal)=\dfrac{4}{7}[/tex]
We need to find the probability that Ricky would make 2 goal points on two shots in a row during the season.
Since the both shots are independent events therefore,
[tex]P(Two\ goals)=P(one\ goal)\times P(one\ goal)[/tex]
[tex]P(Two\ goals)=\dfrac{4}{7}\times \dfrac{4}{7}[/tex]
[tex]P(Two\ goals)=\dfrac{16}{49}[/tex]
Therefore, the required probability is [tex]\dfrac{16}{49}[/tex].
Patricia tiene $80.000 sólo en billetes de $5.000, Camila tiene $60.000 sólo en billetes de $2.000 y Andrea tiene $120.000 sólo en billetes de $10.000. Cada una aportará la misma cantidad de dinero a un fondo para comprar un regalo a su madre, que tiene un valor de $90.000. ¿Con cuántos billetes se quedará Camila después de pagar su parte de la cuota?
Answers
Answer:
mmmm
Step-by-step explanation:
If the nth term of a sequence is
4n + 3 what is the 6th term?
Answers
Answer:
27 is the answer to the question
Step-by-step explanation:
4(6)+3=24+3=27
HELP I attracted a picture????
Answers
Answer:
D. 187 m²
Step-by-step explanation:
Alrighty, so this is a standard area problem, the formula for finding the area of a triangle is base x height ÷ 2 so:
34 x 11 ÷ 2 = 187
So the area of the triangle is 187 m²
hope this helps:)
Study the figure.
53
53
?
What is the measure of the missing exterior angle, in degrees?
Answers
Answer:
exterior angle is equal to the sum of two interior opposite angle
?=53+53=106°
missing exterior angle =106°
The measure of the exterior angle is 106°.
What is an exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it.
Given that, a triangle has two interior angles 53° and 53° and an exterior angle x,
Since, we know that, sum of opposite two interior angles of a triangle is equal to measure of exterior angle.
Therefore,
53° + 53° = x
x = 106°
Hence, the exterior angle is 106°
Learn more about exterior angles, click;
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#SPJ2
A metric unit that is equal to one thousandth of a liter is...
Answers
Answer:
mililiter
Step-by-step explanation:
please help giving brainliest!
Answers
Answer:
0.20
Step-by-step explanation:
total of marbles
= 6 + 4 + 3 + 2
= 15
the probability of blue
= 3/15 × 100%
= 20%
= 0.20
Convert the following angle from degrees to radians. Express your answer in simplest
form.
375°
Answers
Answer:
25 π /12 radians
Step-by-step explanation:
To convert degrees to radians, multiply by π /180 , since a full circle is
360 or 2 π radians.
Cancel the common factor of 15
Factor 15 out of 375
15 (25). π/ 180 radians
Factor
15 out of 180
15. 25 ⋅ π/ 15 ⋅ 12 radians
Cancel the common factor.
15
⋅ 25 ⋅ π/ 15 ⋅ 12 radians
Rewrite the expression.
25 ⋅ π/ 12 radians
Combine
25 and π /12
25 π /12 radians
Find x. Round to the nearest tenth and only type the number for your
answer.
25
X
16
22
Answers
Answer:
10.7
Step-by-step explanation:
To find x we have to basically do pythagoream theorem twice. Both the traingles share the same long side. The find the long side of the top traingle do, [tex]a^{2} +16^{2} =25^{2}[/tex], and we find the long side to be [tex]\sqrt{369}[/tex]. Using this we now plug it into the pythagoream theorem for the bottom triangle. [tex]\sqrt{369} ^{2} +x^{2} =22^{2}[/tex], and doing this out we find that x=[tex]\sqrt{115}[/tex] or about 10.7.
The measures of the angle of a triangle is shown in the figure below solve for X
Answers
Please help meeee!!!!!!!!
Answers
Answer:
n = 17.5
Step-by-step explanation:
4*17.5 = 70
70 - 5 = 65
115 + 65 = 180
Have a nice day!
Answer:
17.5
Step-by-step explanation:
115+(4n-5) are a linear pair.
115+(4n-5)= 180
minus 115
4n-5=65
plus 5
4n=70
divide by 4
n= 17.5
5x-4<4(1+x) what is the answer and how do you do it
Answers
Answer:
Step-by-step explanation:
5x-4<4(1+x)
5x-4<4+4x
5x-4x<4+4
x<8
Of the 60 students who auditioned in a singing contest, 40% were asked to come back for a second audition. After the second audition, 6 students were asked to come back for a final audition.
What percentage of the students from the second audition were asked to come back for the final audition?
Answers
25%
Explanation:
60 • 0.4 = 24
6/24 = 0.25 / 25%
Proof:
24 • 0.25 = 6
what are these points someone plz help me
Answers
Answer:
#1 points (0,2) and (1,5)
#2points (-4,0) and (0,-4)
Step-by-step explanation:
In ^ABC, AB = 7, BC = 10, and
m
is b?
A. 13.2.
B. 12.2
C. 11.2
D. 9.1
Answers
Answer:
c
Step-by-step explanation:
PLSSS HELP EASYY MATH HELPPP
How many of each different 2-D shapes do you see?
Answers
I really need help asap
Answers
Answer:
A
Step-by-step explanation:
Cuál es el problema actual que están viviendo los emprendedores?
Answers
Answer:
Los emprendedores se enfrentan a muchos desafíos en el mundo empresarial ultracompetitivo de hoy. Afortunadamente, los emprendedores también tienen más recursos que nunca para abordar esos problemas.
Hoy en día, muchos emprendedores enfrentan los siguientes 10 desafíos. Quizás ya te hayas enfrentado a algunos de ellos. Siga leyendo para saber por qué existe cada desafío y para obtener soluciones y soluciones para que pueda operar su negocio de manera eficiente y exitosa.
Using the graph, determine the coordinates of the vertex of the parabola
Answers
Answer:
The vertex is (3,1)
Step-by-step explanation:
Answer:
(3, 1)
Step-by-step explanation:
Locate the vertex. Here it represents the maximum value of this quadratic function. The x-coordinate shown is 3 and the y-coordinate is 1. Thus, the vertex is (3, 1).
$6,000 was invested at a simple interest rate. In 15 years, the
account was worth $9,600. What was the interest rate? Show all your
work!
Answers
Answer:
4.2%Step-by-step explanation:
S.I=P×R×T R=I×100/R×T =6000×100/9600×15=600000/144000
=4.2%
a click beetle abruptly releases elastic energy stored in its body to launch itself into the air. the function h(t)=-16t^2+12t represents the height h (in feet) of the click beetle t seconds after launching. the height of a second click beetle t seconds after launching is shown in the graph. which click beetle went higher?
Answers
Answer:
The first click beetle reaches a maximum height of 2.25 feet. From the graph, you can see that the second click beetle reaches a maxium height of between 1.5 and 1.6 feet. So, the first click beetle went higher.
A beetle reaches a maximum height of 2.25 meters after 2,25 seconds
How to determine the maximum height?The function is given as:
h(t)=-16t^2+12t
Differentiate
h'(t)= -32t + 12
Set to 0
-32t + 12 = 0
Add 32t to both sides
32t = 12
Divide both sides by 32
t = 0.375
Substitute t = 0.375 in h(t)
h(0.375) = -16 * 0.375^2 + 12 * 0.375
Evaluate
h(0.375) = 2.25
The above means that a beetle reaches a maximum height of 2.25 meters after 2,25 seconds
The other parts cannot be completed because the question is incomplete
Read more about quadratic functions at:
https://brainly.com/question/56877
This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide
1.What is the area of one of the semicircles at either end of the track?
2.The school decided to cover the semicircles with grass to create a space for stretching and other activities. How many square yards of grass will the school need to cover the entire circle?
3.What is the distance around one of the semicircles at either end of the soccer field?
4.What is the distance around the inner lane of the track (i.e., the lane closest to the soccer field)? PLEASE HELP <3
Answers
Answer:
Step-by-step explanation:
1. 1923.25
2.about 3846.5 yards
3.219.91
4.639.82
Answer: See below
Step-by-step explanation:
1) 1/2 x 3.14 x 35^2
1/2 x 3.14 x 1225
1/2 x 3846.5
A = 1923.25 yd^2
2) (3.14)r^2
(3.14) (35)^2
3846.50 yd^2
3) P = d + (3.14)r^2
P = 70 + (3.14) (35)
P = 70 + 109.90
P = 179.90 yd
4) P = 2( l + w)
P = 2 (70 + 100)
P = 2 (170)
P = 340
Perimeter of the square minus the perimeter of the circle.
340 - 179.90 = 160.10 yd
b/2+1=5
solve this equation
Answers
Answer:
b=8
Step-by-step explanation:
b/2+1=5
b/2=5-1
b/2=4
b=4×2
b=8
Select the correct answer which expression is in its simplest form?
Answers
Answer:
Step-by-step explanation:
Hey mate I guess for this Question The Answer is "A"
Hope you Get it right!
can someone pls help!!
Answers
Answer:
[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]
Step-by-step explanation:
When a quadratic equation is in the form [tex]y=a(x-h)^2+k[/tex] (vertex form):
The x-coordinate can be found by identifying which value makes [tex](x-h)^2[/tex] equal 0The y-coordinate can be found by identifying the k value (y=k)Therefore, if the vertex of the function is at (2,-3), h needs to be 2 for [tex](x-h)^2[/tex] to equal 0 and k needs to be -3. The only equation that displays this is G:
[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]
I hope this helps!
A full set of adult teeth has 160% as many teeth as a full set of baby teeth. How many teeth are there in a full set of adult teeth if there are 20 teeth in a full set of baby teeth
Answers
Answer:
The adult has 32 teeth
Step-by-step explanation:
20*.1.60=32
Answer:
32
Step-by-step explanation:
100% - 20 60% (20x0.60) 12 20+12 32
Write an equation of the perpendicular bisector of the segment with endpoints M(-3,4) and N(9,8).
Answers
Answer:
y= -3+15please mark in brain listA baseball teams starting lineup has 3 left handed hitter, 4 right handed hitter, and 2 switch hitters . if there are a total of 81 baseball players in the league , how many player could be expected to NOt be a right handed hitter ?
Answers
Answer: 45 players
Step-by-step explanation:
4+3+2=9 9x9=81 9x2=18. 9x3=27 27+18=45
Solve for x in the diagram below (x+42)
Answers
Answer:
x = 12
Step-by-step explanation:
(x + 42)° + 3x° = 90°
x + 3x + 42 = 90
4x = 90 - 42
4x = 48
x = 12
Which expressions are equivalent to the expression 18b+24? Select all that apply. *
A.6(3b+4)
B.6(3b+8)
C.2(96-12)
D.3(6b+8)
E.3(6b+4)
F.2(9b+12)
Answers
Answer:
A, D, F
Step-by-step explanation:
6(3b+4)=18b+24
6(3b+8)=18b+48
2(96-12)=192-24
3(6b+8)=18b+24
3(6b+4)=18b+12
2(9b+12)=18b+24