Answer:
Sqaure root of 3 divided by 2
Step-by-step explanation:
The value of function sin 60° is √3/2.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We need to find the value of sin 60°
Sin 60 degrees is nothing but sin π/3
The sine function we obtain by dividing the opposite side by hypotenuse.
sin theta = Opposite side/ hypotenuse
sin 60=√3/2
The value of sin 60 degrees is square root of three by two.
Hence, the value of function sin 60° is √3/2.
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Andre’s group was asked to write an expression equivalent to 5 p squared q + 7 p q squared minus 10. When Ms Berger checked their answers, she found only one to be correct. Who had the correct answer?
Answer:
Andre's group
Step-by-step explanation:
If the ratio of blue eyed students to non-blue eyed students is 7 to 12, about how many students would have have blue eyes out of 50 students ? A.29 B.18 C.85 D.45
Answer:
18
Step-by-step explanation:
the ratio of blue eyed students to non-blue eyed students is 7 to 12,
Total ratio = 7+12=19
Total student= 50 students
Ratio of blue eyes student= 7/19 ×50
=18.4
Hence, there are approximately 18 students with blue eyes.
The diagram shows a right-angled triangle.
14 cm
hcm
47°
What is the value of h?
Give your answer correct to 1 decimal place.
Answer:
The diagram shows a right-angled triangle.
14 cm
hcm
47°
What is the value of h?
Give your answer correct to 1 decimal place.
19.1
Write 9x² - 36x = 4y² + 24y + 36 in standard form
this is a graph of a hyperbola, if this helps.
please include the steps on how you did it
Thank you!
Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.
The perimeter of Square three is 20.4 square units in the perimeter of square two is 27.2 square units what is the area of square one
Answer:
a=554.88
Step-by-step explanation:
20.4*27.2=
60 of the product of one-twelfth y and two-thirds z
Answer:
(.6)(y/12)(2z/3)
yz /30
Step-by-step explanation:
Arianna runs up 4 flights of stairs then runs down 4 flights of stairs. Does this situation represent additive inverses
Answer:
Yes because she ends up back at zero
Solve for x in the following figure.
Answer:
x = 80
Step-by-step explanation:
All angles in a triangle add up to 180 degrees.
First, find the angle J:
60+40 = 100, J = 80 because 100+80= 180 degrees.
Now, the two angles on either side of J should also equal 180 degrees. We know that the inner angle is equal to 80 degrees. Thus, the outside angle must equal 100.
x + 20 = 100
x = 80 degrees.
Who knows how to do this I TRULY NEED HELP
2347800 in scientific notation
Answer:
2.3478 x 10^6
Step-by-step explanation:
Is (-2,-3) a solution of the graphed system of inequalities? yes or no
Answer:
yes
Step-by-step explanation:
2x-8y=16 solve for x
Answer:
x=8+4y
Step-by-step explanation:
Add 8y to both sides:
2x=16+8y
Divide both sides by 2:
x=8+4y
a football coach is trying to decide: when a team is ahead late in the game, which strategy is better?
• play the "regular" defense.
• play a "prevent" defense that guards against long gains but makes short gains easier
the coach reviews the outcomes of 100 games
compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. draw a conclusion
based on your results.
From analysis, it is seen that the probability of winning when playing regular defense is higher than the probability of winning with *prevent* defence.
How to find the probability of Winning?We will assume that a total of 100 games were reviewed.
50 games used regular defense method.
The remaining 50 games used the prevent defense method.
Out of the 50 regular defense games, 38 were win while 12 games were lose.
Out of 50 prevent defense game, 29 were win, while 21 games were lose.
Thus, the Probability of winning by regular defense is:
P(win | regular) = 38/50
P(win | regular) = 0.76
Probability of winning by playing prevent defense is:
P(win | prevent) = 29/50 = 0.58
From the above analysis we observe that the probability of winning by using the regular defense method is greater than the probability of winning by prevent defense method.
That is 0.76 > 0.58.
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What would the UNIT RATE be for 90 miles in 5 hours be
Answer:
90/5 = 18 mph
A) 8 dogs for every 5 cats
B) S1.25 per song
c) lap per minute
60 students
D)
2 classes
15 players
E)
1 team
F) 4 cups per 2 batches
А.
ОВ.
D.
а Е
F
Answer:
I will answer but I need the question
Step-by-step explanation:
27 red markers to 12 blue markers into a ratio
Help me please (the problem is in the photo)
explain how you will find the sum of 4.2 and 2.14
Answer:
you find the sum by adding a "0" at the end of "4.2" and the stack add them (or however you can add them).
Step-by-step explanation:
4.20
+ 2.14
= 6.34
Find the AREA for J(2,4) K(3,-4) L(-2, 4) M(-1,-4)
Answer:
23
Step-by-step explanation:
What is the volume of a rectangular box that measures 3 by 8 by 20 inches?
488 cubic inches
0 480 cubic inches
O 31 cubic inches
O 44 cubic inches
The amount of gasoline at a gas station changes from 58,432.4 gal to 56,475.2 gal from 2:00 PM to 4/0 PM . What rational number represents the average change in amount of gasoline per hour ?
-1957.2
1957.2
-978.6
978.6
Answer:
- 978.6 gallons per hour
Step-by-step explanation:
Given that :
Change in gasoline (gallon) : 58,432.4 gal to 56,475.2 gal
Time during which change occurred : 2:00 pm to 4:00 pm
Average change per hour : [Change in gallon of gasoline / time interval (hour)]
Change in gallon of gasoline = (56,475.2 - 58,432.4) = - 1957.2 gallons
Time interval = 4:00 pm - 2:00 pm = 2 hours
Hence, Average change per hour :
-1957.2 / 2
= - 978.6 gallons per hour
Express in the form 1:n the ratio 56:7 give your answer as a decimal
Answer:
decimal 8
Step-by-step explanation:
Step 1 :Rewrite the ratio as a fraction 56:7=56/7
Step 2: Divide the number by the denominator
56/7= 56/7
56/7=8
factor 3x^2 + 10x +8
Answer:
(x+2)(3x+4)
Step-by-step explanation:
I think that the answer is (3x + 4)
(x + 2)
100000 times 846,000 =
Answer:
84600000000
Step-by-step explanation:
Answer:8460000000
Step-by-step explanation:
Verify the identity.
Tanx^2/secx= sinxtanx
Please answer this :) I will give brainliest, I’m struggling big time
Answer:
from left hand side:tan^2/secx=(,sin^2x/cos^2x)/(1/cosx)=sin^2x/cosx=sinx×sinx/cosx=sinx.tanx=right hand side.verified.
Simplify 4+3/7x-2-2/7x
[tex] \huge \bold{answer}[/tex]
What is the length of the hypotenuse of ABC
Answer:
c＝√(a²+b²)
C is hypotenuse
Find 2.4% of 20 (Round to the nearest tenth if necessary)
Please help
HELPPPP. debra deposits $600 into an account that pays simple intest at a rate of 5% per year. how much ibttest will she be paid in the forst 2 years.
Answer:
$660
Step-by-step explanation: 5% per year
5x2= 10%
percent is always out of 100
100+10=110 110 divided by 100= 1.10
600x1.10= $660
1
Solve for x in the triangle below. Show your work!
2
84
Xº
Y
N
Answer:
x = 48°
Step-by-step explanation:
In the given triangle XYZ,
Sides XY and XZ are congruent.
Therefore, both the sides will be equal in measure.
By the definition of isosceles triangle,
"Opposite angles of the equal sides are equal in measure"
m∠Y = m∠Z = x°
m∠X = 84° [Given]
By the triangle sum theorem,
m∠X + m∠Y + m∠Z = 180°
84° + x° + x° = 180°
2x = 180 - 84
x = 48°
Therefore, measure of x = 48° will be the answer.