Answer:
Area equals to 3615.7
Step-by-step explanation:
So first in order to get the area of the triangle you need to have it’s height and base. We know the base is 150m(you can choose another base too), and we need to get the height.
In order to get the height we can see the triangle as two right triangle spreaded by the height. Now looking at the right triangle at the left hand, realized this triangle has a 40, a 90 degree angle and a side of 75.
Next using the law of sines, and plot the numbers in:
a = b(sinα/sinβ)=75(sin(40°)/sin(90°))≈48.20907
Now calculat the area;
Area = 1/2 bh = 1/2 (150x48.20907) ≈ 3615.6765
I attached a graph below that may help to see will all the things go
15. In a school, the ratio of boys and girls is 4:5, when 100 girls leave the school, the ratio becomes 6:7. How many boys are there in the school
Step-by-step explanation:
the ratio of boys and girls is equal to 4:5
let the number of boys be x
and the number of girls be y
so form 1st statement
x:y=4:5
now 2nd statements
x:y-100=6:7
Therefore solving equations 1 and 2
x=1200
y=1500
Find the number of gallons of sulferic acid in 50 gallons of solution in a tank, if the percent of sulfuric acid is 50%.
Answer:
25 gallons of sulfuric acid
Step-by-step explanation:
Find how much sulfuric acid is in the tank by finding 50% of 50 (the total gallons of solution):
50(0.5)
= 25
So, there are 25 gallons of sulfuric acid.
solve h = vt - gt^2, for v
Answer:
v=(h/t)+gt
Step-by-step explanation:
h=vt-gt^2
h+gt^2=vt
v=(h/t)+gt
find the unknown anagels in the following figure
Answer:
ABC=BCD
so, X=60'
Z= 70'
Y=50'
if sum of two no is 21 and sum of their square is 256 find the number
i.e x+y=21
x²+y²=261
find value of x and y
Step-by-step explanation:
you're going to solve for y in the first equation and then substitute it in for the second equation and solve.
jack wants to run at least 275 miles before the baseball season begins. he has already run 25 miles. he plans to run 2.5 miles each day. at this rate what is the fewest number of days he will need to reach his goal
Hey there! I'm happy to help!
We see that Jack has already run 25 miles.
25
He also wants to run 2.5 miles every day. This means we will multiply 2.5 miles by the number of days he runs. We will call the number of days x.
25+2.5x
And he needs this to equal 275.
25+2.5=275
We subtract 25 from both sides.
2.5x=250
We divide both sides by 2.5
x=100
So, Jack will need to run 100 days to meet his goal.
Have a wonderful day and keep on learning! :D
In the right triangle ABC, angle A is 36 degrees.
Answer:
Step-by-step explanation:
Start with the Big 3. The Big three are the ones on your calculator. The other three are the reciprocals of the big 3.
Sin A = 0.5878
Cos A = 0.8090
Tan A = 0.7265
=============
Now for the reciprocals. I'll leave you to put them in the order that the question asks for.
Cot A = 1/ Tan(A) = 1/0.7265 = 1.3763
CSC A = 1/sin (A) = 1/0.5878 = 1.7013
SEC A = 1/ Cos(A) = 1/0.8090 = 1.236
PLEASE HELP!!!
Write the correct geometric sequence formula for each of the sequences listed below
1st sequence:
1,3,9,27,…
2nd sequence:
400,200,100,50,…
3rd sequence:
4,8,16,32,…
4th sequence:
400,100,25,6.25,…
5th sequence:
1,5,25,125,…
6th sequence:
1000,500,250,125,…
7th sequence:
2,10,50,250,…
What are the geometric formulas???
Here are the options:
A.) y=1600(0.25)^x
B.) y=800(1/2)^x
C.) y=2/5(5)^x
D.) y=1/5(5)^x
E.) y=2000(1/2)^x
F.) y=1/3(3)^x
G.) y=2(2)^x
Please match the formulas with the correct sequence.
It’s a lot I know but I just absolutely suck at this stuff.
Answer:
1st sequence is F
2nd sequence is B
3rd sequence is G
4th sequence is A
5th sequence is D
6th sequence is E
7th sequence is C
Step-by-step explanation:
A) 1600*0.25= 400- the first term of the sequence
1600*0.25^2= 100- the second term
so it is 4th sequence
B) y=800* (1/2)^x
The first term is 800*1/2=400
The second term is 800*(1/2)^2= 800*1/4=200
the 2nd sequence
C) y= 2/5*5^x
The first term is y=0.4*5=2
The second term is y= 0.4*5^2=10
7th sequence
D) y=1/5* 5^x
The first term is y=1/5*5=1
The second term is y= 1/5 *5*5=5
The 5th sequence
E) y=2000*(1/2)^x
The first term of 2000*1/2=1000
The only sequence with such the first term is 6th sequence
F) y=1/3*3^x
y= 1/3*3=1 - the first term
y= 1/3*3*3=3
1st sequence
G) y= 2*2^x
y=2*2= 4 - the first term
it is the third sequence
What is the range of the given function?
{(-2, 0), (-4, -3), (2, -9), (0,5), (-5, 7)}
O {x | x = -5, 4, -2, 0, 2}
{yly = -9, -3, 0, 5, 7}
{x | x = -9, -5, 4, -3, -2,0, 2, 5, 7}
{yl y = -9, -5, 4, -3, -2, 0, 2, 5, 7}
9514 1404 393
Answer:
(b) {yly = -9, -3, 0, 5, 7}
Step-by-step explanation:
The range is the set of y-values in the ordered pairs. It is usually convenient to list a set in alphanumeric order.
The second values of the ordered pairs are 0, -3, -9, 5, 7. So, the range is ...
y ∈ {-9, -3, 0, 5, 7} . . . . . matches the second choice
The measures of two angles of a triangle are 147º and 17º. Find the measure of the third angle.
Answer:
16 degrees
Step-by-step explanation:
147+17+x=180
164+x=180
subtract 164 from both sides
X = 16
Step-by-step explanation:
we know all measure of angles of triangle is 180⁰
so angle A + B + C = 180⁰
so 147⁰ + 17⁰ + C = 180⁰
so 164⁰ + C = 180⁰
so C = 180⁰- 164⁰
so C =16⁰
so third angle will be 16⁰
MARK AS BRAINLIST IF IT IS USEFUL
i need help with this asap plz in a hurry rushing; im desprateeeee
Answer:
19)tu=12
20) true
Step-by-step explanation:
19) (22+5x)+(19-2x)=35
3x+41=35
3x=-6
x=-2
TU=22+5*-2
=12
PLEASE HELP!!!! The total yield of rice in a farm is 10^8 kg, and the land is10^5 km. What is the output of rice every km? (the answer has to be in exponential form)
Answer:
10^3 kg
Step-by-step explanation:
Think about it that you have the total yield 10^8 kg of rice from 10^5 km^2 of land. You now only want How much does 1 km^2 of land produce. Which can be shown as
10^8/10^5=??/1. To get the denominator to equal one you divide the top and bottom of the first problem by 10^5. 10^8/10^5 is 10^3. So it's 10^3 kg
Answer:
Since −13 is a proper fraction, it cannot be written as a mixed number.
Please help me i need this
fast
Answer:
just restart your device
Type the equation for the graph
below.
Answer:
Step-by-step explanation:
This is a "regular" sin graph that's "taller" than the original. The amplitude is 3; other than that, its period is the same and it has not shifted to the right or left, so the equation, judging from the graph, is
[tex]y=3sin(x)[/tex]
[tex]\sqrt{a} +\sqrt{b} =\sqrt{a+b}[/tex]CHO A,B THUỘC R, khẳng định sau đúng hay sai
Answer:
Hello,
Step-by-step explanation:
Le théorème est faux
since a=9 and b=16 then
[tex]\sqrt{9} +\sqrt{16} =3*4=7 \\\sqrt{9+16} =\sqrt{25} =5\\[/tex]
A sandwich shop offers a choice of 5 types of bread, 4 types of meat, and 3 types of cheese. How many different sandwiches could be made with 1 type of bread, 1 type of meat, and 1 type of cheese?
Answer:
12 type of bread 1 type of meat, 1 type of cheese and 1 type of bread.☺️☺️
The vertex of the parabola below is at the point (1, 5), and the point (2, 8) is on the parabola. What is the equation of the parabola? A. y = 2(x – 1)2 + 5 B. y = 3(x + 1)2 + 5 C. y = 3(x – 1)2 + 5 D. y = 2(x + 1)2 + 5
Answer: B
Step-by-step explanation:
the parabola having (1,5) as vertex have as equation:
y=k*(x-1)²+5
It is passing through (2,8)
8=k*(2-1)²+5 ==> k+5=8 ==> k=3
equation is y=3(x-1)²+5
Answer B
simple way to differentiate between speed and average speed.
Answer:
speed
1)the distance travelled by a body per unit time is known as speed.
2) speed is speed, or something how fast is going,
3) while velocity is speed how fast something is going in a specific direction.
average speed
1) average speed is the speed added up and divided by number of speed .
2)the average of all the instantaneous speed in a give time interval.
3) the average speed as the duration of the time interval approaches zero.
Jerry sold 320 tickets for the school play. He sold x adults tickets for $8 each and y child tickets for $5 each. He sold $1900 worth of tickets. Write a system of equations to model the situation.
What is the equation?
Answer:
x + y = 320
8x + 5y = 1900
Step-by-step explanation:
The equation x + y = 320 represents how 320 tickets were sold in total, from combining the adult and child tickets sold.
Since adult tickets are $8 each, the money from adult ticket sales can be represented by 8x.
The money from child ticket sales can be represented by 5y.
The equation 8x + 5y = 1900 represents how $1900 worth of tickets were sold.
So, the system of equations for the situation is:
x + y = 320
8x + 5y = 1900
Answer:
y = 220
x = 100
Step-by-step explanation:
x + y = 320
8x + 5y = 1900
x = 320 - y
8(320 - y) + 5y = 1900
2560 - 8y + 5y = 1900
2560 -3y = 1900
-2560 -2560
-------------------------
-3y = -660
----- -------
-3 -3
y = 220
x + 220 = 320
-220 -220
----------------------
x = 100
answer all of the following please.
Answer:
Front = 30
Back = 30
Right = 30
Left = 30
Bottom = 25
Top = 16
Total = 161
Let me know if this helps!
A square of side 4cm is enlarged by a scale factor 2.5. What is the are of the enlarged square
Answer:
10
Step-by-step explanation:
4 * 2.5 = 10
how to simplify 75-3y
[tex]\\ \sf\longmapsto 75-3y[/tex]
We can see 75 is a multiple of 3Take 3 common[tex]\\ \sf\longmapsto 3(25-1y)[/tex]
[tex]\\ \sf\longmapsto 3(25-y)[/tex]
Hence simplifiedAnswer:
Step-by-step explanation:
75-3y
3(25+y)
The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?
Answer:
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
Step-by-step explanation:
Its correct trust me.
Answer:
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
Step-by-step explanation:
How many solutions exist for the given equation?
3(x-2)=22-x
O zero
Oone
Otwo
Oinfinitely many
Answer:
one solution
Step-by-step explanation:
3(x-2)=22-x
Distribute
3x -6 = 22-x
Add x to each side
3x-6+x = 22-x+x
4x-6 =22
Add 6 to each side
4x-6+6 = 22+6
4x = 28
Divide by 4
4x/4 = 28/4
x = 7
There is one solution
Answer:
It has only one solution
Step-by-step explanation:
[tex]3(x - 2) = 22 - x [/tex]
open the brackets:
[tex]3x - 6 = 22 - x[/tex]
collect like terms together:
[tex]3x + x = 22 + 6[/tex]
then solve:
[tex]4x = 28 \\ x = \frac{28}{4} \\ \\ x = 7[/tex]
Need help!
.......................
Answer:
[tex]24x^{3} \sqrt{5x} -4x^{3} \sqrt{10x}[/tex]
Step-by-step explanation:
[tex]2\sqrt{8x^{3} } (3\sqrt{10x^{4} } -x\sqrt{5x^{2} } )[/tex]
[tex]=2.2x\sqrt{2x} (3x^{2} \sqrt{10} -x^{2} \sqrt{5} )[/tex]
[tex]=4x\sqrt{2x} (3x^{2} \sqrt{10} -x^{2} \sqrt{5} )[/tex]
[tex]=12x^{3} \sqrt{2xx10} -4x^{3} \sqrt{2xx5}[/tex]
[tex]=24x^{3} \sqrt{5x} -4x^{3} \sqrt{10x}[/tex]
OAmalOHopeO
(PLEASE HELP ASAP I REALLY DON’T UNDERSTAND THIS PLEASE EXPLAIN)
Answer:
Intergers
Step-by-step explanation:
A subset is a part of a whole math concept, idea, or sample space.
We need to find what math concept -5 is apart of.
-5 is part of the All Real Numbers section.
-5 is also part of integers as well.
Write an exponential function that includes the following points (2,32) and (3,64)
Answer:
y=32x-32
Step-by-step explanation:
This time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1 on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense
The sum of first three terms of an arithmetic series is 21. If the sum of the first two terms is subtracted from the third term then it would be 9. find the three terms of the series. The first and last bra
Answer:
The terms are - 1, 7 and 15.
Step-by-step explanation:
Let the terms be a-d, a, a+d.
ATQ, a-d+a+a+d=21, a=7 and a+d-(a-d+a)=9. 2d-a=9, d=8. The terms are - 1, 7 and 15.
The first three terms will be : -1, 7, 15
We have sum of first three terms of an arithmetic series is 21. It is given that if the sum of the first two terms is subtracted from the third term then it would be 9.
We have to find the three terms of the series.
What is Arithmetic progression or sequence?An arithmetic progression or sequence with common difference [tex]d[/tex] is given as -
a, a + d, a + 2d, a + 3d .....
According to the question -
a + (a + d) + (a + 2d) = 21
3a + 3d = 21
3(a + d)=21
a + d = 7 (Eqn. 1)
(a + 2d) - (a + a + d) = 9
a + 2d - a - a - d = 9
d - a = 9
a = d - 9
Substituting the value of 'a' in Eqn. 1, we get -
d - 9 + d = 7
2d - 9 = 7
2d = 16
d = 8
Therefore -
a = 8 - 9
a = -1
The three terms are -
a = -1
a + d = -1 + 8 = 7
a + 2d = -1 + 2 x 8 = 15
Hence, the first three terms will be - -1, 7, 15
To solve more questions on Arithmetic Sequences and finding the terms, visit the link below -
https://brainly.com/question/20384906
#SPJ2
8. PLEASE HELP ME
Order the group of quadratic functions from widest to narrowest graph.
y= 6x2, y= -4.5x2, y= -x2
A. y= -4.5x2, y= -x2, y= 6x2
B. y= 6x2, y= -4.5x2, y= -x2
C. y= -x2, y= 6x2, y= -4.5x2
D. y= -x2, y= -4.5x2, y= 6x2
Answer:
B. y= 6x2, y= -4.5x2, y= -x2
Step-by-step explanation:
y = 6x2, y = −4.5x2, y = −x2
This should be correct )
To solve this problem you must keep on mind the following information: By definition, a quadratic function has the following form:
y=ax^{2}+bx+c
Where a is the leading coefficient.
If the leading coeficient is closer to zero, the parabola is widest,if it has a larger positive or negative value, the parabola is narrowest.
Therefore, by knowing the information above, you have that the answer is:
y=- x^{2} \\ y=-4.5 x^{2} \\ y=6 x^{2}
Would be very happy if you helped.Don’t spam guys
[tex]\\ \sf\longmapsto 41sin\Theta=40[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{40}{41}[/tex]
Now
[tex]\boxed{\sf cos\Theta=\sqrt{1-sin^2\Theta}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\left(\dfrac{40}{41}\right)^2}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\dfrac{1600}{1682}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{1681-1600}{1681}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{81}{1681}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\dfrac{9}{41}[/tex]
We know
[tex]\boxed{\sf tan\Theta=\dfrac{Sin\theta}{Cos\Theta}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{tan\Theta}{1-tan^2\Theta}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{sin\Theta}{cos\Theta}}{1-\dfrac{sin^2\Theta}{cos^2\Theta}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{\left(\dfrac{40}{41}\right)}{\left(\dfrac{9}{41}\right)}}{1-\dfrac{\left(\dfrac{40}{41}\right)^2}{\left(\dfrac{9}{41}\right)^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{{40}}{{9}}}{1-\dfrac{{40}^2}{{9}^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{9^2-40^2}{9^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{81-1600}{81}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{-1519}{81}}[/tex]
[tex]\\ \sf\longmapsto {\dfrac{40}{\cancel{9}}}\times \dfrac{\cancel{81}}{(-1519)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{40\times 9}{(-1519)}[/tex]
[tex]\\ \sf\longmapsto - \dfrac{360}{1519}[/tex]