Answer:
14 cards
Step-by-step explanation:
70 - 15 = 55
55/4 = 13.75
Therefore, the highest number of cards someone is able to get is 14.
Answer:
14
Step-by-step explanation:
add!
The angle of depression from an airplane to the top of an air traffic
control tower is 56 degrees. If the tower is 320 feet tall and the airplane
is flying at an altitude of 7,450 feet, how far away is the airplane from the
control tower?
Round this however you need to.
===========================
Work Shown:
Check out the diagram below. We have the following points
A = base of the towerB = point on the ground directly below the airplaneC = top of the towerD = plane's locationE = point used to form the angle of depressionBased on those points, we know that
AC = 320 = height of towerBD = 7450 = height of planeCE = BD - AC = 7450-320 = 7130 = difference between the two heightsWhich allows us to find the distance from C to D. Focus solely on triangle EDC. Use the sine ratio to find x.
sin(angle) = opposite/hypotenuse
sin(angle EDC) = CE/CD
sin(56) = 7130/x
x*sin(56) = 7130
x = 7130/sin(56)
x = 8600.33397283284 approximately
Make sure your calculator is in degree mode.
wht is the solution of the system defined be y =-x+5 and 5x+2y=14
Answer:
1.33,3.667
Step-by-step explanation:
Use y=mx+b for second system
which is y=5/2x+7
Now use substitution,graph, or elimination method.
The table below lists some of the characteristics of the houses on Katrina’s street. Characteristics of Homes For Sale on Katrina’s Street Bedrooms Acres of land Sale price Appraised value Property tax 2 0.17 $230,000 $200,000 $1,220 2 0.20 $210,000 $220,000 $1,232 3 0.20 $275,000 $250,000 $1,400 4 0.24 $275,000 $275,000 $1,540 4 0.52 $360,000 $310,000 $1,736 4 0.75 $350,000 $320,000 $1,792 5 1.23 $375,000 $350,000 $1,960 Which relationship describes a function?
Answer:
your welcome and hope this helps
Which of the following best classifies a quadrilateral with coordinates A(8, 4), B(6, 0), C(3, 2), and D(7, 10)? Trapezoid Parallelogram Kite Rectangle
Answer:
Trapezoid
Step-by-step explanation:
Got it right on quiz
The following that best classifies a quadrilateral with coordinates is :
A) Trapezoid
The following that best classifies a quadrilateral with coordinates is Trapezoid.A trapezoid could be a quadrilateral with one match of inverse sides parallel. In some cases individuals characterize trapezoids to have at slightest one match of opposite sides parallel, and some of the time say there's one and as it were one combine of inverse sides parallel.Thus, the correct answer is A.
Find out more information:
https://brainly.com/question/24200218referrer=searchResults
Im needing an answer for this please!
Answer:
x=46 degrees
Step-by-step explanation:
first find the size of the other angles(let call z and y)
the sum of a straight angle is 180:
180=130+z
z=180-130=50
y=180-96=84
sum of angles of triangle =180
x+y+z=180
50+84+x=180
x=180-134=46 degrees
Answer:
46°
Step-by-step explanation:
Angle of a line = 180°
To find the other side of 130°
The other side = 180° - 130° = 50°
To find the other side of 96°
The other side = 180° - 96° = 84°
To find x°
Total angle of a triangle = 180°
180° = x° + 50° + 84°
x° = 180° - 134°
x° = 46°
PLEASE ANSWER THIS FAST Will the red square and the orange square always equal the blue square? What colored square is the hypotenuse?
Step-by-step explanation:
The area of the blue square will always equal the sum of the area of the orange and red rectanglesThe pythagorian theorem:
a²+b² = c²
now let a be the side of the red triangle and b the side of the orange one
so a² is the area of the red triangle and b² is the area of the orange one
Let c be the side of the blue rectangle
so c² is the area of it
then what we concluded is right
the hypotenuse is the blue side since it is the larger oneSelect the number of solutions for each system of two linear equations.
Answer:
work is shown and pictured
C, infinitely many solutions.
B, one solution.
C, infinitely many solution.
A system of linear equations:A system of linear equations is a collection of one or more linear equations involving the same variables.
A system of linear equation has
one solution when the graph intersect at a point.no solution when the graphs are parallel.infinitely many solutions when the graphs are exact same line.According to the given questions
the given system of equations
(1). 2x+2y=3 and 4x+4y=6
if we see the graph of the above system of linear equations, the graphs are the" exact at same line".
Hence, they have infinitely many solution.
(2). 7x+5y=8 and 7x+7y =8
if we see the graph of the above system of linear equations, the graphs are intersecting at a single point.
Hence, there is only one solution.
(3). -2x+3y=7 and 2x-3y=-7
if we see the graph of the above system of linear equations, the graphs are exact at same line.
Hence, there is infinitely many solutions.
Learn more about the system of linear equations here:https://brainly.in/question/5130012
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I will give brainliest!! THERE IS NO OTHER INFORMATION GIVEN!! In ⊙O, chord XY is 8 cm long and is 10 cm from O. What is the radius ⊙O?
Answer:
radius ≈ 10.77 cm
Step-by-step explanation:
The segment from the centre O to the chord is a perpendicular bisector.
Thus 2 right triangles are formed with legs 10 cm and 4 cm ( half of XY )
The radius r is the hypotenuse.
Using Pythagoras' identity, then
r² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
r = [tex]\sqrt{116}[/tex] ≈ 10.77 cm ( to 2 dec. places )
Answer:
Step-by-step explanation:
perpendicular from center always bisects the chord of circle.
1/2 of chord=1/2×8=4 cm
[tex]r=\sqrt{4^2+10^2} =\sqrt{16+100} =\sqrt{116} \approx 10.77 ~cm[/tex]
Solving Exponential Equations using Logarithms
Answer:
6 weeks
Step-by-step explanation: set the equation to be 1458=2(3^t). Do the division property of equality by 2.
729=3^t
Divide 729 by 3 until you get a 1 as the answer.(Count the number of times that you did it, and that will be your answer)
What is the image of E for a 120° counterclockwise rotation about the center of the regular hexagon?
Answer:
N
Step-by-step explanation:
Since this hexagon has six sides, and to end up back at E again we’d need to rotate 360°, this means for every side we cross it’s a 60° turn.
Therefore, [tex]60 \cdot 2 = 120[/tex]° would be two sides.
Since we are moving counter-clockwise, the image for E would be to the left of it.
Two sides/points to the left of E is N, so the image of E for a 120° counterclockwise rotation around the center of this shape would be N.
Hope this helped!
Can an absolute value function also be a polynomial function? Why or why not?
Answer:
For this case a polynomial is defined with the following expression:
[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite
And by definition the absolute value function is defined as:
[tex] |x|= x, x \geq 0[/tex]
[tex] |x| =-x , x<0[/tex]
If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:
An absolute value function CANNOT be considered as a polynomial function
Step-by-step explanation:
For this case a polynomial is defined with the following expression:
[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite
And by definition the absolute value function is defined as:
[tex] |x|= x, x \geq 0[/tex]
[tex] |x| =-x , x<0[/tex]
If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:
An absolute value function CANNOT be considered as a polynomial function
Hind Missing Angle
Instructions: Find the measure of the indicated angle to the
nearest degree.
54
?
31
?
Answer:
? = 35
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin ? = opp/ hyp
sin ? = 31/54
Taking the inverse sin of each side
sin ^-1 ( sin ? )= sin ^-1 (31/54)
? = 35.03481479
To the nearest degree
? = 35
I need help for this problem!
-9(x + 6) = 18
Answer:
x = -8
Step-by-step explanation:
1. Divide both sides of the equation by -9 to get (x+6) = -2
2. Now that are left with x+6 you can subtract (inverse operation) the 6 from both sides of the equation to get x = -8
Hope this helps
Find the domain of each function: g(x)= 1/x−9
Answer:
x ∈ R, x ≠ 9
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{x-9}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
To find the value that x cannot be, equate the denominator to zero and solve for x
x - 9 = 0 ⇒ x = 9 ← excluded value
Thus the domain is x ∈ R, x ≠ 9
Would a 36-ounce box for $3.72 be a better bargain than a 3-pound box for $5.36?
Answer: 5.79
36
16 cost
Step-by-step explanation:
y<-3x+3
y
a. (1,-5)
b.(1,5)
c.(5,1)
d.(-1,5)
Answer: a
Step-by-step explanation:
substitute the coordinate values for x and y
y<3x+3, (1,-5)
-5<3(1)+3
-5<3+3
-5<6
the coordinate (1,-5) works, so a is the answer
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB, CD = √3 Find: AC
Answer:
[tex]\boxed{AC = 2.3}[/tex]
Step-by-step explanation:
AD = BD (CD bisects AB means that it divides the line into two equal parts)
So,
AD = BD = AB/2
So,
AD = 3/2
AD = 1.5
Now, Finding AC using Pythagorean Theorem:
[tex]c^2 = a^2+b^2[/tex]
Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)
[tex]AC^2= (1.5)^2+(\sqrt{3} )^2[/tex]
[tex]AC^2 = 2.25 + 3[/tex]
[tex]AC^2 = 5.25[/tex]
Taking sqrt on both sides
[tex]AC = 2.3[/tex]
Answer:
[tex]\boxed{2.29}[/tex]
Step-by-step explanation:
The length of AB is 3 units.
The length of CD is [tex]\sqrt{3}[/tex] units.
D is the mid-point of points A and B.
AD is half of AB.
[tex]\frac{3}{2} =1.5[/tex]
Apply Pythagorean theorem to solve for length of AC.
[tex]c=\sqrt{a^2 +b^2 }[/tex]
The hypotenuse is length AC.
[tex]c=\sqrt{1.5^2 +(\sqrt{3}) ^2 }[/tex]
[tex]c=\sqrt{2.25+3 }[/tex]
[tex]c=\sqrt{5.25}[/tex]
[tex]c= 2.291288...[/tex]
The level of water in a dam was decreasing by 20% each day. If the level of water was 1500cm,what was the level after two days?
Answer:900
Step-by-step explanation:
Answer:
960 cm.
Step-by-step explanation:
For the first day:
Subtract the primary level of water by the 20% of it. 20% of 1500 is:
[tex]0.2*1500=300[/tex] (Convert the percent to decimal)
Then subtract 1500 to 300. That would become 1200cm for the first day.
For the second day:
Subtract the level of water from the first day by 20% of it. 20% of 1200 is:
[tex]0.2*1200= 240[/tex]
Then subtract 1200 to 240. That would become 960 for the second day.
The level of the water after 2 days is 960 cm.
Please help Asap. Will give brainiest if answered correctly with a math question
TV = VX.
3x-24 = 2x + 1
Add 24 to both sides:
3x = 2x + 25
Subtract 2x from both sides:
X = 24
VX = 2(25) + 1 = 50 + 1 = 51
The answer is 51
Answer:
51
Step-by-step explanation:
Since it is an isosceles triangle the two sides are equal
3x - 24 = 2x + 1
x = 25
2(25) + 1 = 51
Suppose a triangle has sides 3, 4, and 6. Which of the following must be true? A: The triangle in question is not a right triangle. B: The triangle in question may or may not be a right triangle. C: The triangle in question is a right triangle.
Answer:
A: The triangle in question is not a right triangle.
Step-by-step explanation:
If the triangle is a right triangle, then the Pythagorean theorem would hold
a^2 + b^2 = c^2
3^2 + 4^2 = 6^2
9+16 = 36
25 = 36
This is not true so this is not a right triangle
Answer:
A: The triangle in question is not a right triangle.
Step-by-step explanation:
We can use Pythagorean theorem to check.
a² + b² = c²
3² + 4² = 6²
9 + 16 = 36
25 = 36 (not true)
four pencils and a ruler cost $1. six pencils and three rulers cost $2.10. find the cost of three pencils and thirteen rulers.
Answer:
$ 5.65
Step-by-step explanation:
let the cost of a pencil and a ruler be $p and $r respectively.
4p +r= 1 -----(1)
6p +3r= 2.10
divide by 3 throughout:
2p +r= 0.70 -----(2)
Q: 3p +13r= ?
(1) -(2):
(4p +r) -(2p +r)= 1 -0.70
4p +r -2p -r= 0.30 (expand)
2p= 0.30 (simplify)
p= 0.30 ÷2 (÷2 on both sides)
p= 0.15
subst. into (1):
4(0.15) +r= 1
r +0.60= 1
r= 1 -0.60
r= 0.40
cost of three pencils and thirteen rulers
= 3p + 13r
= 3(0.15) + 13(0.40)
= 0.45 + 5.20
= $5.65
Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle. Which statements describes how the location of segment EG affects the area of EFGH? A.) the area of EFGH is 1/4 of the area of the rectangle if E and G are not midpoints B.) The area of EFGH is 1/2 of the area of the rectangle only if E and G are midpoints C.) The area of EFGH is always 1/2 of the area of the rectangle. D.) The area of EFGH is always 1/4 of the area of the rectangle.
Answer:
C.) The area of EFGH is always ¹/₂ of the area of the rectangle.Step-by-step explanation:
If EG is parallel to the side of the rectangle then lenght of EG is equal to width of rectangle.
If F and H are midpoints of sides of rectangle then FH is parallel to the side of rectangle {wich is perpendicular to the side parallel to EG}. That means the lenght of FH is equal to lenght of rectangle, and FH is perpendicular to EG.
Then FH is sum of hights of triangles EFG and EHG [tex](FH=H_{_{\Delta EFG}}+H_{_{\Delta EHG}})[/tex], and the area of EFGH is sum of areas of triangles EFG and EHG [tex](A_{kite}=P_{_{\Delta EFG}}+P_{_{\Delta EHG}})[/tex].
So the area of the rectangle: [tex]\bold{A_{rectangle}=EG\cdot FH}[/tex]
The area of the kite:
[tex]A_{kite}=P_{_{\Delta EFG}}+P_{_{\Delta EHG}}\\\\A_{kite}=\frac12 EG\cdot H_{_{\Delta EFG}}+\frac12 EG\cdot H_{_{\Delta EHG}}\\\\ A_{kite}=\frac12 EG\cdot (H_{_{\Delta EFG}}+H_{_{\Delta EHG}})\\\\A_{kite}=\frac12 EG\cdot FH\\\\A_{kite}=\frac12 A_{rectangle}[/tex]
No matter the height of the triangles, so no matter the location of the EG
Which phrase best describes f(x), graphed on the coordinate plane below?
f(x) is an odd function.
f(x) is an even function.
f(x) is both odd and even
f(xl is neither add nor even
Answer: f(x) is an odd function
Step-by-step explanation: The major characteristic of odd functions is that one end of the graph goes down to negative infinity, the other end goes up to positive infinity.
Answer:
f(x) is an odd function.
Step-by-step explanation:
f(x) =
- 6x5 + 4x3
Which characteristic is correct for the function
Complete question:
[tex] F(x) = -6x^5 + 4x^3 [/tex]
Which characteristic is correct for the function
a) odd
b) neither even nor odd
c) both even and odd
d) even
Answer:
a) odd
Step-by-step explanation:
Given the equation:
[tex] F(x) = -6x^5 + 4x^3 [/tex]
To test for even or odd let's perform the following:
F
Replace "x" with "-x"
Thus,
[tex] F(x) = -6x^5 + 4x^3 [/tex]
[tex] = -6(-x)^5 + 4(-x)^3 [/tex]
[tex] = 6x^5 + -4x^3 [/tex]
Since [tex] -6x^5 + 4x^3 [/tex] ≠ [tex]-6(-x)^5 + 4(-x)^3[/tex] the equation is not even.
Also, the signs changed, the equation is considered to be odd.
I.e f(x) = -f(x)
Correct answer is option (a) odd
Answer:
odd
explanation:
Which of the following is a trinomial?
A. 13x^3
B. 12x2 + 2x+10
c.9/5x2
D. 3x - 15
Answer:
B is a trinomial.
Step-by-step explanation: A trinomial is a math equation with 3 terms connected by plus or minus notations. In these 4 answer choices, choice B is the only one with 3 terms.
Answer
13x^3 i think its the right answer but am not sure :(
Pls solve ASAP!! Review the attachment and solve. Pls hurry!
Answer:
A. 3
Step-by-step explanation:
ΔDEC is bigger than ΔABC by 5. For the hypotenuse, 25 is 5 times bigger than 5.
So, side DE on ΔDEC has to be 5 times bigger than side AB on ΔABC.
If side AB equals 3, side DE equals 18 - 3, which is 15.
15 is five times bigger than 3, so the answer is A. 3.
Hope that helps.
A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items? y squared = 4 x squared minus 100 y = negative x squared + 50 x minus 300 x = negative y squared minus 400 x squared = negative 6 y squared + 200
Answer:
B. y= -x^2+50x-300
Step-by-step explanation:
A. y^2=4x^2-100
B. y= -x^2+50x-300
C. x=-y^2-400
D. x^2=-6y^2+200
we are to find profits (y) when the company sells x items
Option A can be used to calculate the profit (y) squared
Option B can be used to calculate profits (y)
Option C can be used to calculate items sold(x)
Option D can be used to calculate items sold squared(x^2)
We are asked to find the weekly profit (y) function which eliminate options A, C and D leaving us with option B
Therefore, the weekly profits (y) function in thousands of dollars when the company sells x items is
B. y= -x^2+50x-300
What the correct answer now
Answer:
11
Step-by-step explanation:
The Law of Cosines is useful when you have two sides of a triangle and the angle between.
v^2 = w^2 +u^2 -2wu·cos(V)
v^2 = 6^2 +16^2 -2·6·16·cos(27°)
v^2 = 292 -171.0733
v ≈ 10.9966
v ≈ 11
1 less than a doubled number is equivalent to 5 more than 3 lots of the number
Answer:
the number is -6 (assuming "3 lots of" means 3 times)
Step-by-step explanation:
Let the number be x
1 less than a doubled number
2x-1
5 more than 3 lots of (times???) the number
3x+5
Solve for x
2x-1 = 3x + 5
-x = 5+1
x = -6
What is the domain of the function f(x) = x + 1/ x^2 - 6 + 8?
Answer:
The domain is all values but x=4 and x=2
Step-by-step explanation:
f(x) = (x+1) / ( x^2-6x+8)
Factor the function
f(x) = (x+1) / ( (x-4) ( x-2))
The domain of the function is all values of x except where the function does not exist
This is where the denominator goes to zero
(x-4) ( x-2) =0
Using the zero product property
x-4 =0 x-2 =0
x=4 x=2
The domain is all values but x=4 and x=2
Answer:
Hey there!
This, is the graph of your function:
Thus the domain, or all the possible x values would be all real numbers except 2 and 4, because the lines will only reach 2 and 4 when y is infinity.
Hope this helps :)