Answer:
39 seats are empty
Step-by-step explanation:
60% of 65 is 39
6х +y= 29
3х - у= 7
what’s the answer
Answer:
x=4, y=5
Step-by-step explanation:
6x+y=29
y=-6x+29
3x-1(-6x+29)=7
3x+6x-29=7
9x=36
x=4
6(4)+y=29
24+y=29
y=5
prove these identities
(i) secx cosecx - cotx = tanx
Answer:
[tex](A)\frac 1 {cosx} \frac 1 {sin x} - \frac {cosx} {sin x} = \frac {sin x} {cosx} \\\\(B)\frac{1-cos^2 x }{cos x sin x} = \frac {sin x} {cosx} \\\\(C) \frac{(sin^2x + cos^2x)-cos^2 x }{cos x sin x} = \frac {sin x} {cosx} \\\\(D) \frac{sin^2x }{cos x sin x} = \frac {sin x} {cosx}\\\\(E)\frac {sin x}{cos x} = \frac {sin x}{cos x}[/tex]
In step A, you replace all trigonometric functions with their definitions in terms of sine and cosine.
In step B, you add the two together as you add fractions.
In step C, you replace 1 with the sum of the squares of sine and cosine.
In step D, you add the cosine terms together so they disappear.
In step E, finally, you divide numerator and denominator by [tex]sin x[/tex].
Prove x²+y² = (x+y) (x-y)
Answer:
(x+y)(x-y)
x^2 - xy + xy - y^2
x^2 - y^2
The population of Florida has increased, on average, at a rate of 8% per year since 1953. In 1993, the population of Florida was 13 million.
What was the population in 1953?
Answer: The human population in 1953 was 598 people.
Graph each equation. Determine the solution of the system of equations.
x+4y=16
5x+4y=0
solve the binomial(2x-5)(2x+5)
Answer:
4x^2-25
Step-by-step explanation:
You have to distribute, in this case, multiply like terms.
2 times 2=4
x times x= x^2
5 times -5= -25
Put those together in the correct order (variables in alphabetical order, ect.)
Can the side lengths of 3, 10, and 13 form a triangle?- quoara
Answer:
No, it can not.
Step-by-step explanation:
For a triangle to exist. The two sides of length of every triangle added up must be greater than the other length.
Here,
13 + 3 > 10
13 + 10 > 3
but,
3 + 10 > 13 is false
so, the side lengths 3, 10, 13 can not form a triangle.
Keiko will run less than 25 miles this week. So far, she has run 12 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run. Write your answer as in inequality solved for t.
Answer:
Step-by-step explanation:
12 ≤ t ≤ 25
t ≤ 13 miles
I NEED HELP!!!
What is the area of a triangle that has a height of 10 feet and a base length of 8 feet?
10 feet2
20 feet
40 feet
80 feet
Answer:
40 feet
Step-by-step explanation:
The area of a triangle is given by A=h×b/2
A=10×8/2
A=80/2
A=40 feet²
Find the slope of the line that passes through A(0,−5) and B(3,−4) .
Answer:
1/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-5))/(3-0)
m=(-4+5)/3
m=1/3
Match the graph with its function. Which is an example of growth decay?
what is 16 to the 16th power + 92 cubed?
Answer:
348
Step-by-step explanation:
16*16=256
256+92=348
1. Based on the graph and the
situation, which domain make sense
for function S?
a.) Domain: all numbers from 0 to 170.
b. Domain: whole numbers only from 0 to 60.
c. Domain: all numbers from 0 to 60.
d. Domain: whole numbers only from 0 to 170.
2. Based on the graph and the situation, which range make sense for function S?
a. Range: all numbers from 0 to 170.
b. Range: whole numbers only from 0 to 60
Range: whole numbers only from 0 to 170.ds word op die
d. Range: all numbers from 0 to 60.
Answer:
a.) Domain: all numbers from 0 to 170 and d. Range: all numbers from 0 to 60
Step-by-step explanation:
The domain is all of the numbers that the graph is on, over the x-axis. Looking at the x-axis, the graph only spans across 0-170, so the answer would be a.) Domain: all numbers from 0 to 170.
The range is all of the numbers that the graph is on, over the y-axis. Looking at the y-axis, the graph only spans across 0-60, so the answer would be d. Range: all numbers from 0 to 60.
what it not 3/4 I tried
Answer:
what exactly do you mean not 3/4?
Step-by-step explanation:
Answer:
You are missing part of the question!
This question cannot be answered with the information you provided!
The root x=1 has multiplicity 3 for the function f(x)=x^4 - x^3 - 3x^2 + 5x - 2
Answer:
x^10
the power will be add
"Ready
Vicki sketches a right triangle with legs of lengths x and y and a hypotenuse of length z. She writes an equation that
relates x, y, and z. Then, she writes an expression for the length of the hypotenuse. Which expression does she write?
x² + y²
C
x? + 22
/xty
Answer:
sqrt(x^2+y^2)
Step-by-step explanation:
x^2+y^2=z^2 (Pythagorean theorem)
sqrt(x^2+y^2)=sqrt(z^2)
sqrt(x^2+y^2)=z
find the value of x
Answer:
x = 3
Step-by-step explanation:
When chords intersect inside a circle, the product of the lengths of the two segments of one chord equals the same product of the other chord.
10x = 5 × 6
10x = 30
x = 30/10
x = 3
What is the height of a right circular cylinder that has a volume of 48 cubic centimeters and a radius of 2 centimeters
Answer:
the answer will be 3.82 . Hope this helped
Step-by-step explanation:
Please someone explain me how can I find that
Answer:
fu
Step-by-step explanation:
Question b keeps telling me I’m wrong
Answer:
negative 5
Step-by-step explanation:
How many sides does a convex polygon have if the sum of measures of its angles is 2 520deg?
Answer:
16 sides
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here sum = 2520° , then
180° (n - 2) = 2520° ( divide both sides by 180° )
n - 2 = 14 ( add 2 to both sides )
n = 16
the polygon has 16 sides
Sara is trying to decide if she wants to buy a home for $150,000 with a 20 year mortgage and an APR of 4.75% or to rent an apartment for $2,100 monthly rent that has an annual increase of 2%. If she goes with the house she will also have to put a 15% down payment.
How much is her 15% down payment?
What would Sara's monthly mortgage payment be after the down payment? ROUND TO THE NEAREST DOLLAR
If she pays that every month for for 3 years how much will she end up in total in mortgage payments? $
How much will she end up paying in total over those 3 years if she buys a home? (down payment + total mortgage payments) $
Create a chart to see Sara's rent for 3 years, how much will she end up paying in 3 years in rent? Round to the nearest dollar$
Which is cheaper in this scenario for 3 years?? (renting or buying a home? )
Find the value of x.
Step-by-step explanation:
360 - 126 =234
234 ÷3x
x = 78
The angle formed by a tangent on a circle with a radius is always 90 degrees thus the measure of x for the given circle and tangents is 18.
What is a tangent of a circle?The tangent of a circle is a line that intersects the circle at the periphery of the circle.
If you draw a line that goes through the center to the tangent touching point then it will give you a 90-degree angle.
As per the given circle and two tangents.
Since The angle formed by a tangent on a circle with a radius is always 90°.
Therefore, the sum of the other two angles 3x and 126° will be 180°.
3x + 126 = 180
3x = 54
x = 18
Hence "The angle formed by a tangent on a circle with a radius is always 90 degrees thus the measure of x for the given circle and tangents is 18".
For more information about the tangent of the circle,
brainly.com/question/23265136
#SPJ2
What are the solutions to the equation below:
4x^x+1 = 5^-x
Answer:
I think it's E?
Step-by-step explanation:
hope this is right, if so then...
Pls, choose me as brainliest!
Does anyone know how to do this?
Answer:
y = - 3x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10 - 3x = - 3x + 10 ← is in slope- intercept form
with slope m = - 3
y = - 6x - 4 ← is in slope- intercept form
with y- intercept c = - 4
then equation of required line is
y = - 3x - 4
Hello!
The slope of the first line is -3.
The y-intercept of the second line is -4.
How did I identify the slope & y-intercept?
Let me share my "secret"
Well, both equations are written in slope-intercept form (y=mx+b)
where m = slope & b = y-intercept.
Now you know ;-)
Anyway, the new line should have the same slope as the first line (-3)
And the y-intercept of the second line is -4.
So the equation is
y=-3x-4
Hope everything's clear!
#KeepLearning
A construction company makes cement stairs from a wooden mold. The construction company must calculate the volume of the mold to determine how much cement they need to create the stairs.
What is the volume of the wooden mold?
A.
7,000 in3
C.
6,000 in3
D.
9,000 in3
Considering the volume of a rectangular prism, it is found that the volume of the wooden mold is given by:
C. 6,000 in³
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and height h is given by:
[tex]V = lwh[/tex]
In this problem, the wooden mold is composed by two rectangular prisms:
The first has dimensions of 25 in, 10 in and 12 in.The second has dimensions of 20 in, 12 in and 12 in.Hence the volume in cubic inches is given by:
[tex]V = 25(10)(12) + 20(12)(12) = 5880[/tex]
Rounding, it is closest to 6000 in³, hence option C is correct.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
An equilateral triangle has a height of 15. What is the exact length of the one side
of the equilateral triangle
Answer:
1\2 base X 15 = Area
so it must be 10
Using the Pythagorean Identity find the cos(0) if the sin(0) =20/29 given that the terminal side is in the 2nd
quadrant. You must show all work.
The value of cosθ from the trigonometric identity is equal to -21/29
Data;
sin(0) = 20/29quadrant = 2nd quadrantPythagorean TheoremThis formula is used to find the missing side of a right angle triangle.
This is given as
[tex]hypothenuse^2 = adjacent^2 + opposite^2[/tex]
But in trigonometric ratio, the sine ratio is
[tex]sin \theta = \frac{opposite}{hypothenuse}[/tex]
This implies that
opposite = 20hypothenuse = 29adjacent = ?Let's find the adjacent using Pythagorean theorem
[tex]x^2 = y^2 + z^2\\29^2 = 20^2 + z^2 \\z^2 = 29^2 - 20^2\\z^2 = 441\\z = \sqrt{441} \\z= 21[/tex]
Now that we know the value of adjacent,
The value of cos(0) will be
[tex]cos \theta = \frac{adjacent}{hypothenuse} \\cos \theta =- \frac{21}{29}\\[/tex]
Note: The negative sign in front of the ratio indicates the fact that in the second quadrant, only sine theta is positive, the rest are negative.
The value of cosθ is equal to -21/29
Learn more on Pythagorean theorem here;
https://brainly.com/question/343682
Write your answer as an ordered pair (x,y)
See both lines are parallel
Means
Slopes are equal .If slopes are equal then x and y coefficients are equal.
So No solutions
What is the remainder when 3x5 + 4x4 - 2 is divided by x - 1?
Answer:
5
Step-by-step explanation:
x - 1= 0 → x = 1 We paste this value.
3(1)⁵ + 4(1)⁴ - 2= 3 + 4 - 2 = 5
There is another method that is longer. As shown in the picture