Answer: 52 boys
==================================================
Explanation:
g = number of girls
g+26 = number of boys because there are 26 more compared to girls
The ratio of boys to girls is 2:1, meaning g+26 is twice as large compared to g
number of boys = 2*(number of girls)
g+26 = 2g
26 = 2g-g
26 = g
g = 26
There are 26 girls and g+26 = 26+26 = 52 boys. Note how 52 is double that of 26.
What is the sun's approximate azimuth when it sets? PLEASE ANSWER I GIVE BRAINLIEST AND 20 POINTS PLEEEEEAAAAAASSSSSEEEEE!!
Answer:
At the equinoxes, the sun rises directly east and sets directly west regardless of the latitude, thus making the azimuth angles 90° at sunrise and 270° at sunset. ... The azimuth angle is like a compass direction with North = 0° and South = 180°.
Step-by-step explanation:
prove that: (sinθ/1+cosθ) + (1+cosθ/sinθ) = 2cosecθ
[tex] \: prove \: that: \frac{ sinθ}{1+cosθ}+ \frac{1+cosθ}{sinθ} = 2 \: cosec \: θ [/tex]
Consider LHS
(sinθ/1+cosθ) + (1+cosθ/sinθ) =
= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]
= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]
= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]
[°.° (a+b)² = a²+2ab+b²]
Here, a = 1, b = cosθ
= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]
= [1+1+2cosθ]/[(1+cosθ)sinθ]
[°.° sin²θ+cos²θ = 1]
= [2+2cosθ]/[1+cosθ)sinθ]
= [2(1+cosθ)]/[(1+cosθ)sinθ]
= 2/(sinθ)
[°.° 2/sinθ = cosecθ]
= 2cosecθ = RHS.
Hence, Proved.
Read more:
Similar Questions
If cosθ =1/3 , then sinθ = _____.
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Verify the identity. cotθ * sinθ * secθ = 1 Which of the following four statements establishes the identitiy? A. cotθ *sinθ *secθ = sinθ/cosθ * sinθ * 1/cosθ = ...
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BrainlyCPT~
Brainly Team
Solve this equation, show all your work:
6(x+1)=-2(3x+9)
Answer:
x=-2
Step-by-step explanation:
6(x+1)=-2(3x+9)
Distribute the 6.
6x+6=-2(3x+9)
Distribute the -2.
6x+6=-6x-18
Move the variable to the left-hand side and change the sign.
6x+6+6x=-18
Collect like terms
12x=-18-6
Calculate the difference.
12x=-24
Divide both sides by 12.
x=-2
Hope this helps :)
HELP I WILL GIVE BRAINLEST
sin(x) = 1/2 and the angles must be between 0 and 180.
We can take the arcsin(1/2) and we get 30 degrees, but that is only half of the answer.
There are two angles for which the y value on the unit circle outputs 1/2.
To find this other value which is in the second quadrant: 180 - 30 = 150.
The other angle is 150 and can be checked by solving sin(150) which outputs 1/2 so we know have the correct answer.
Smaller = 30 Larger = 150.
P.S make sure your calculator is in degree mode.
Find the value by using the suitable identities 84 2 The 2 is square so the question is 84 square Pls i need the ans fastt
84²
it is like saying 84×84
so
84×84=7,056
so our answer is
= 7,056
A fruit market must spend less than $225 for an order of apples and oranges. A pound of apples costs $0.50 and a pound of oranges costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of apples than oranges. Which choice is a reasonable solution?
Answer:
Oranges :100 pound
Apples : 250 pound
Step-by-step explanation:
A fruit market must spend less than $225 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of peaches than mangoes. Which choice is a reasonable solution?
=========
0.5p + 0.75m <= 225
p = m + 50
-------------------
Substitute for "p" and solve for "m"::
0.5(m+50) + 0.75m <= 255
0.5m + 25 + 0.75m <= 255
2.25m <= 325
---
m <= 144.44
--------------------
# of oranges : 100 pound
# of pound of apples: m+50 = 250 pound
Hope you understand :)
Pls mark me as brainiest
Answer:
Answer choice C should be more Resonable.
Step-by-step explanation: It is very obvious
because you are spending less than $225 and when it says at least 50 more it means that 50 is the bare minimum so the ideal choice is 150 more apples than oranges and likely the oranges will be 100 and aples will be 250 and you won't spend over $225.
solving systems of equations in three variables
Answer:
Option B: (x= -8, y=10, z=-6)
Step-by-step explanation:
2x + 4y + 3z = 6 ... eq.(1)
5x + 8y + 6z = 4 ... eq.(2)
4x + 5y + 2z = 6 ... eq.(3)
From eq.(1),
2x= 6 - 4y - 3z
x= (6-4y-3z)/2 ... eq.(4)
Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)
In eq.(2),
5[(6-4y-3z)/2] +8y +6z =4
Multiplying through by 2
5(6-4y-3z) + 16y + 12z = 8
30-20y-15z+16y+12z = 8
22= 4y + 3z ... eq(5)
In eq.(3),
4[(6-4y-3z)/2] +5y +2z = 6
2(6-4y-3z) +5y + 2z =6
12-8y-6z + 5y +2z = 6
6= 3y + 4z ... eq.(6)
Multiplying eq.(5) and eq.(6) by 3 & 4 respectively
66=12y + 9z ... eq(8)
24=12y + 16z ... eq(9)
Subtracting eq(8) from eq(9)
42= -7z
z= -42/7
z = -6
Putting z as -6 in eq.(5)
22= 4y + 3(-6)
22= 4y -18
4y = 40
y = 40/4
y = 10
Putting y as 10 and z as -6 in eq(4)
x = [6 - 4(10) - 3(-6)]/2
x = (6 - 40 - 18)/2
x = -16/2
x = -8
x= -8, y= 10 , z= -6
If a 12-foot-tall object casts a 9-foot shadow, how long a shadow would a 4-foot-tall object cast at the same time and place
Answer:
I think it is 3 feet
Step-by-step explanation:
12:9 is equal to 4:3
4:? should also be equal to 4:3, so ?=3
Hope this helps
let me know if it does and if it is right
Johnny has a bag full of marbles that he keeps in his desk. He has 35 red marbles and 25 green marbles. Find the ratio of red marbles to green marbles, and put it in its simplest form.
Answer:
7:5
Step-by-step explanation:
Ratio between red and green marbles is simply the number of red marbles to the number of green marbles.
---------------------
35:25
To simplify it, you divide both of them by 5 (which is the highest common factor) to get
--------------------
7:5
Your parents gave you $50 to take your brother and sister to the movies. Your ticket cost $8.25 and your siblings cost $4.25. If you spent an additional $20 on soda and popcorn, how much money did you bring home with you?
$50
$13.25
$39.75
$10.25
Find the value of x.
8.
x+9
2x
[tex]2x = \frac{x+2}{2} => 4x = x + 2 => 3x = 2 => x = 2/3[/tex]
ok done. Thank to me :>
-5x+3-2x-4+4x-5= −
x+8m2x+8m2 =
(x+6)(x+6)(x+6)(x+6)
Answer:
is this even a real question?
Step-by-step explanation:
can somebody help me qith this please, im not 100% what the answer is
Answer: $129.96 per week
====================================================
Explanation:
1 year = 52 weeks (approximately)
If she earns $6758 in a year, then we divide that by 52 to find the approximate weekly income.
6758/52 = 129.9615 which rounds to 129.96
Use the example as a model. Simplify the expressions.
t^37=?
i
-i
1
-1
Answer:
Step-by-step explanation:
[tex](\iota)^{37}=(\iota)^{36} \times \iota=[(\iota)^2]^{18}\times \iota=(-1)^{18} \iota=\iota[/tex]
first to answer get brainliest thankss :)
Answer:
47
Step-by-step explanation:
First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.
Now that we have two angles of the triangle, we can set up the equation:
76+57+x=180
we have 180 because all three angles of any triangle equal 180.
solving for x:
simplify the equation, (x)+(76+57)=180
combine like terms, x+133=180
Subtract 133, 180−133=47
x=47.
GIVING BRAINLIEST!
A hot air balloon is tied to the end of a 60-m rope. When the balloon is at an altitude/vertical height of 50 m, what angle of elevation does the rope make with the ground? Round your final answer to the nearest tenth of a degree.
Answer:
83.333 degress
Also where i solved for side a is pointless i just realised :p
Step-by-step explanation:
okay Imma head into some trig stuff here so sorry.
the hypotenuse of the triangle would be 60m
the height is 50m
Using pythag theorem we can concur that a = 10.488
a = 10.488
b= 50m
c = 60m
now we just use sin (feta) = 50/60
sin(feta) = .8333
or 83.3 degress.
-Gage Millar, Algebra 1/2 tutor
can the pythagorean theorem be used for any triangle
Answer:
No, only for right angle Δ
Step-by-step explanation:
It is only used for right angle triangles
What is are the steps for multiplying (0.03)(-0.02)
Answer: (0.03)(-0.02) = -0.0006
Step-by-step explanation:
Step 1: Remove the Parenthesis
(0.03)(-0.02) → 0.03 ⋅ 0.02
Step 2: Multiply
0.03 ⋅ 0.02 = -0.0006
, Hope this helps :)
Have a great day!!
How do you solve the following equation: n+2*0.5n+1
Answer:
[tex]n=-\frac{1}{2}[/tex]
Step-by-step explanation:
The order of operators is the next:
ParenthesisExponentsMultiplication and divisionAddition SubtractionSo the first step is multiply and later add up the rest terms ([tex]0.5 = \frac{1}{2}[/tex]).
[tex]n+\frac{2}{2}n + 1 = 0\\n + n + 1 = 0\\2n = -1\\n = -\frac{1}{2}[/tex]
Find the distance between
Answer:
minus 15 by 4
Step-by-step explanation:
minus 9 by 4 minus 3 by 2 lcm then add
V^2=u^2 + 2as rearrange to s subject
[tex]v^2 = u^2 + 2as \\\\\implies 2as = v^2 -u^2 \\\\\implies s = \dfrac{v^2 - u^2}{2a}[/tex]
find the slope: x 0 1 2 3 y 4 4 4 4
Answer:
slope is 0
Step-by-step explanation:
it is flat on a graph
Help HELP HELP HELP URGENT
Answer:
28
Step-by-step explanation:
Given the base and height, we can split the triangle into 2.
So now the height for our right triangle with still be 25 but the base will become half of what it used to be which is 12.
Using the Pythagorean Theorem:
A^2+B^2=H^2
a = side of right triangle
b = side of right triangle
c = hypotenuse
Plugin the values
25^2+12^2=H^2
625+144=H^2
769=H^2
27.73=H
Rounded to 28
Hope this helps :)
find the approximate measure of the missing length
Answer:
b= 20.8
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
a= 12
b= ?
c= 24
Equation: 12²+b²=24²
12²= 144
24²= 576
New equation: 144+b²=576
Find b: 576-144=432
[tex]\sqrt432[/tex]= 20.7846097
Round to nearest tenths: 20.8
b= 20.8
Check answer:
144+432=576
Correct!
T/19+4=5. T/19=1. T=
Answer:
t is 19.
Step-by-step explanation:
Subtract 4 from both sides.
Next, multiply both sides by 19.
Determine whether each function is even, odd, or neither.
f(x) = x²_9
g(x) = |x-3
f(x) = 22-1
g(x) = x + x2
can i have help on this q plz
Answer:
14.8
Step-by-step explanation:
7.4 * 2 = 14.8.
hope this helps
Answer:
54.76[tex]cm^{2}[/tex]
Step-by-step explanation:
The area of a shape is base times height. bh
Since this is a square, all of the sides are the same length. Meaning 7.4*7.4 to make 54.76cm^2.
help asap please
question is below
Step-by-step explanation:
only the second one fulfills the rule that every value of x must have exactly 1 assigned result value (y).
the first option has two different result values (3 and 5) for x = 1.
the third has 2 different result values (3 and 4) for x = 2.
the fourth has 2 different result values (2 and 4) for x = 2, and also 2 different result values (0 and 2) for x = 0.
Graph the equation
Y= 1/4x^2-2x
See attached
(If this is incorrect, please add in parentheses so I can make sure I have the order correct. Thank you.)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
AYUDAAA PORFAVOOOOOOR!!
Answer:
4
Step-by-step explanation:
Answer:
La respuesta seria 3 espero que esto ayude
Step-by-step explanation: