Answer:
31 students
Step-by-step explanation:
Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm
Step-by-step explanation:
to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:there are 3 ways to solve SAS triangle
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.first figure out [tex]\angle C [/tex]
to do so we will use the formula of law of cosine of C angle
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]
substitute the given values of a,b and [tex]\angle C[/tex]
[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]
simplify squares:
[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]
simplify addition:
[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]
square root both sides
[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]
simplify:
therefore
[tex]\bold{c=3.23}[/tex]
use law of sine to figure out angle A
[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]
therefore
[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)
therefore
[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]
[tex]\bold{= 100.64}[/tex]
(Aye, aye, captain)
I can't hear you
(Aye, aye, captain)
Oh Who lives in a pinneapple under the sea?
(Spongebob Squarepants)
Absorbent and yellow and porous is he?
(Spongebob Squarepants)
If nautical nonsense be something you wish?
(Spongebob Squarepants)
Then drop on the deck and flop like a fish
(Spongebob Squarepants)
Ready?
(Spongebob Squarepants)
(Spongebob Squarepants)
(Spongebob Squarepants)
(Spongebob Squarepants)
Data was collected on the price of a hot dog and a drink at twenty different baseball stadiums. It was found that when
the price of a hotdog was low, the price of a drink was low and that when the price of a hotdog was high, the price of
a drink was high
Which statements are correct?
Answer: the price of a hot dog was low and the drink was low
Step-by-step explanation:hope this helps
8
Martiza is measuring the effect a fertilizer on a field of soybeans has on the local butterfly population.
Based on her data collection, the population of butterflies in the field can be modeled by the function P(d) = 250(0.89)" where d is the number of days the
fertilizer has been applied.
Which statement best describes how the population of butterflies is changing?
>
It is increasing by 89% for each application.
B It is decreasing by 89% for each application
It is increasing by 11% for each application.
It is decreasing by 11% for each application
O 09:10
It is increasing by 11% for each application.
what is the average of these numbers
3, 5, 6
Answer:
4.66666666667.
Step-by-step explanation:
3+5+6=14, and 14 divided by 3 (the number of numbers given) is 4.66666666667.
What is the slope for (-2,1) and (7,1)
Answer:
m=0
Step-by-step explanation:
the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)
we are given the points (-2,1) and (7,1)
label the points:
x1=-2
y1=1
x2=7
y2=1
now substitute into the equation
m=(1-1)/(7--2)
m=0/9
m=0
the slope of the line is 0
Hope this helps!
Straight angle represents?
A. 90 degrees
B. 180 degrees
C. 270 degrees
D. 360 degrees
Answer:
B. 180 degrees
Step-by-step explanation:
The straight angle represents 180°. Hence, option (B) is the correct answer.
What does S in Math means?
Step-by-step explanation:
subtract
i think this
En una ciudad, el porcentaje de la población que
fuma y bebe, de la que solo fuma y de la que
solo bebe, es la mitad, tercera y cuarta parte del
porcentaje que no fuma ni bebe. Determinar qué
porcentaje de la población fuma o bebe.
Answer: Si fuera de los que solo fuman sería del 43,5% si solo de los que lo beben sería del 20,5% si fueran los dos sería del 59%.
Step-by-step explanation:
The percentage of the population smokes or drinks is 52%.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
We are given that;
The drink is half, third and quarter of the percentage
The sum of these percentages must be 100%, so we can write an equation:
x + (1/2)x + (1/3)x + (1/4)x = 100
To solve for x, we need to simplify and isolate x. We can do this by multiplying both sides by 12, the least common multiple of 2, 3, and 4:
12x + 6x + 4x + 3x = 1200
25x = 1200
x = 1200/25
x = 48
This means that 48% of the population neither smokes nor drinks. Therefore, the percentage of the population that smokes or drinks is:
(1/2)x + (1/3)x + (1/4)x
= (1/2)(48) + (1/3)(48) + (1/4)(48)
= 24 + 16 + 12
= 52
Therefore, the percentage answer will be 52%.
Learn more about percent here:
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The complete question is;
In a city, the percentage of the population that smokes and drinks, the one who only smokes and the one who only drinks, it is half, third and quarter of the percentage that neither smokes nor drinks. Determine what percentage of the population smokes or drinks.
What is the answer to this??
How to solve the maze:
1. Start on the start space and complete the problem.
2. The answers are on the arrows but you have to choose the correct answer.
3. When the correct answer is chosen move to the next quest that the answer arrow is pointing to.
4. Complete answers as you go on until you reach the finish square!!
Please help me!! More points for solving.
Answer:
54, 32, 76, 72, 68, 29, 24,
Step-by-step explanation:
Find all zeros f(x) =x^4-x
Answer:
0 and 1
Step-by-step explanation:
Answer:x=−4,x=0,x=5
Step-by-step explanation:
take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4
Below is the graph of a trigonometric function. It intersects its midline at (8.7, 7.2), and it has a minimum
point at (6.2,3.8).
Answer: 3.4
Step-by-step explanation:
7.2 - 3.8
The minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].
What is the trigonometry function?
Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle.
It means that the relationship between the angles and sides of a triangle are given by these trig functions.
Here given that,
In the trigonometry functions it intersects its midline at [tex](8.7, 7.2)[/tex], and it has a minimum point at [tex](6.2,3.8)[/tex].
So,
[tex]7.2 - 3.8=3.4[/tex]
So, the minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].
To know more about the trigonometric function
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on a garden plan,two tree are 25metres apart .if the plan has a scale of 1:200,how far are they apart on the plan
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
Hello There!
The height of the water starts at 3 feet and its receding at a rate of .75 feet an hour
receding means to move farther away from previous position
so the equation would be
3-.75t
or
-.75t + 3
So we can conclude that the answer is C
Slope intercept form of (2,4) slope is 2
To write slope intercept form from a point, you take the 2 and covert it to 2/1, or rise/run form. Then you find the y-intercept. Now listen, this is very complicated. Ready? It's the y-coordinate. 4. Veery complicated.
So y=2/1+4
---
hope it helps
⅚–⅓ what is the answer to this fraction
Answer:
5×3-6×1/6×3=15-6/18=9/18=9
Answer:
5/6-1/3
taking LCM
(5-2)/6=3/6=1/2 is your answer
Team A and team B play in a competition Team A has 12 more points than team B Team A has twice as many points as team B How many points does each team have
Answer:
A = 24 points
B = 12 Points
Step-by-step explanation:
Team A and team B play in a competition
Team A has 12 more points than team B
A = B + 12
Team A has twice as many points as team B
A = 2B
We substitute
2B = B + 12
2B - B = 12
B = 12 points
Solving for A
A = 2B
A = 2 × 12
A = 24 points
PLSSSSSS HELPPPPP ASAPPPP
Answer:
I believe its C
Step-by-step explanation:
If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.
What is the degree of the polynomial below?
x ^6 +3 - 2x^2 + 4x^7 - 4x
O A. 7
O B. 6
C. 5
D. 4
The inequality -2(x + 10) > 75 says the same thing
as - 2x - 20 > 75. I can multiply by -2 on the left
side without reversing the inequality symbol
True
False
Answer: False. When multiplying or dividing by an negative inequality you flip the sign.
Step-by-step explanation:
During a scientific experiment the temperature of a container decreased by 35.7° C at a constant rate over 8 2 hours. What value represents the change in the temperature of the container each hour?Thank you
Answer:
general, efficiency is the amount used divided by the amount ... irrigation such as reduced labor and water cost also factor into ... What is the percent change from Loose to Hard. ... 2 hours if average hourly radiation energy input (RS) is ... minimum temperature is 8 ... (c) What is the pressure in the container at a depth 0.5 ft.
Step-by-step explanation:
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Lila and Drew want to buy their mom a gift that costs $30. Raquel has $18 saved already, how much does Drew need to save to pay for the gift?
Let d = the amount that Drew has to save to help buy the gift.
Which equation can be used to solve the problem. Equation
How much money does Drew need to save so they could buy the gift?
The polygons to the right are similar. Find the value of each variable. (Simply your answers.)
x = ___
y = ___
Answer:
x=15
y=8
if the triangles are proportional, then the smaller triangle is half the size of the large triangle
Jordan baked 4 apple pies. She wants to share them equally among 3 of her neighbors. What fractional part of the pies will each neighbor get?
A. 3/7
B. 3/4
C. 1 1/3
D. 2 1/3
Answer:
C.
Step-by-step explanation:
1 1/3 as an improper fraction is 4/3.
Please make me the brainliest
I would appreciate it if someone helped me:)
Answer:
24 more chocolotae chip cookies are sold
Step-by-step explanation:
CCC 7(15)+6 105+6=111
SC 6(15)-3 90-3 = 87
111-87 = 24
*ill mark brainliest*
A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The email message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e?
HHHHHHHHHEEEEEEEEEELLLLLLLLLLPPPPPPPPP ILL FAIL MY CLASSSSSSSSSSSSSS
for number 4 because it has select, the select are
first one under C) 66, 64, 67, 65
under B) 24, 23, 26, 25
under A) 15, 16, 17, 18
lowest under C) 40, 41, 42, 39
Answer:
c is the right answer of this
Answer:
The first blank: 65
The second blank: 24
The third blank: 16
The last blank is: 41
Step-by-step explanation:
The Phthagorean theorm is as follows: c^2=a^2+b^2
Where a and b are the legs of the triangle and c is the hypotenuse
To fill in the first blank space you need to find c, and it's given a and b: a=25 b=60
You substitute the known values into the equation of the Pythagorean theorm: c^2=25^2+60^2
And solve to find c
c^2=4225
c=
[tex] \sqrt{4225} [/tex]
c=65
The answer for the first blank
For the second blank you given a and c: a=7 c=25
Substitute the value into Pythagorean theorm:c^2=a^2+b^2
25^5=7^2+b^2
625=49+b^2
To solve b you got to subtract 49 to both sides
625-49=b^2
576=b^2
[tex] \sqrt{576} = b[/tex]
24=b
Which is your answer
For the third blank its given b and c: b=30 c=34
Substitute the value into Pythagorean theorm
c^2=a^2+b^2
34^2=a^2+30^2
Solve the exponential terms: 1156=a^2+900
Then you solve the variable that you need to find. In this case, you got to solve a^2 by subtracting 900 of both sides of the equation:1156-900=a^2
256=a^2
[tex] \sqrt{256 = a} [/tex]
16=a which is your answer
Finally your last blank,its given the values and b
a=9
b=40
Substitute the value into Pythagorean theorm
c^2=9^2+40^2
And solve for c
c^2=81+1600
c^2=1681
[tex]c = \sqrt{1681} [/tex]
Which gives you c=41 which is your answer
Let me know if this helps
find the value of given expression
=》
[tex] \sqrt{901 - 5 + 4} [/tex]
Step-by-step explanation:
Answer is 30 I hope this help you
Which if the following is a geometric sequence?
Question 5 options:
A. 6,8,10,12
B. 3,6,12,24
C. 12,6,2,1
D. 5,-15,45,135
I think the answer is B.....
Julio bought a fish tank shaped like a rectangular prism. The inside of the tank measures 24 inches in length, 10 inches in width, and 12 inches in height. The tank is filled with water to a height of 8 inches. How many more cubic inches of water are needed to fill the tank to the top? Use paper to show your work.
Answer:
[tex]Volume = 960in^3[/tex]
Step-by-step explanation:
Given
Empty Tank
[tex]Length = 24in; Width=10in; Height = 12in[/tex]
When filled with water, the height is:
[tex]Height = 8in[/tex]
Required
Determine how many more cubic inches needed
First, we calculate the difference between the height of the tank and the height of the water.
[tex]H = 12in - 8in[/tex]
[tex]H = 4in[/tex]
The volume of water to full the tank is then calculated as:
[tex]Volume = Length * Width * H[/tex]
[tex]Volume = 24in * 10in * 4in[/tex]
[tex]Volume = 960in^3[/tex]