Step-by-step explanation:
the answer is in the above image
adjacent side:
using Pythagoras
hypo² = oppo² + adja²
(√13)² = 2² + adja²
adja²= 13 -4
adja²=9
adjacent side = 3
so tan A= oppo/adja
tan A=2/3
pretty simple just fill in the blank from the drop down menu please !
Answer:
vertical hope this helps
Answer:
vertical, goodluck
Step-by-step explanation:
I took this
Which object is the result of rotating the triangle about line m?
The graph represents the piecewise function:
f(x)= { __, if -1 ≤ x ≤ 1; __, if 3 ≤ x ≤ 5 }
Answer:
4, x-1
Step-by-step explanation:
The first piece of this function goes from -1 to 1. Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.
The second piece of this function goes from 3 to 5. This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1. Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis). When putting this equation together we get x-1 being the second part.
The solution is:
The graph represents the piecewise function:
f(x)= { 4, if -1 ≤ x ≤ 1;
(x - 1), if 3 ≤ x ≤ 5 }
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
The first piece of this function goes from -1 to 1.
Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.
so, we have,
The second piece of this function goes from 3 to 5.
This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1.
Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis).
When putting this equation together we get x-1 being the second part.
Hence, The solution is:
The graph represents the piecewise function:
f(x)= { 4, if -1 ≤ x ≤ 1;
(x - 1), if 3 ≤ x ≤ 5 }
To learn more on graph click:
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Which expression is equivalent to the following complex fraction?
3/x-1 -4 /2 -2/x-1
2(x-2)
-4x+7
-4x+7
2(x-2)
-4x+7
2(x2 - 2)
26x2 - 2)
-4x+7
Answer:
[tex] \frac{3}{x - 1} - \frac{4}{2 } - \frac{2}{x - 1} \\ = \frac{(3 - 2)}{x - 1} - 2 \\ = \frac{1}{x - 1} - 2 \\ = \frac{1 - 2x + 2}{x - 1} \\ = \frac{3 - 2x}{x - 1} [/tex]
What is the x-value of the vertex?
f (x) = (x + 2)^2 - 1
x-value of the vertex:
Rewrite the equation in expanded form:
(X+2)^2 -1 = x^2 + 4x + 3
The parabola parameters are : a = 1, b = 4, c = 3
The x vertex is -b/2a = -4/2(1) = -2
Replace x with -2 in the expanded equation to solve for the y vertex:
Y = -1
The vertex is (-2,-1)
x-value of the vertex:-2
Answer:
Solution given:
we have
f(x)=(x+2)²-1
y=x²+4x+3......(I)
parameters of parabola are:
a=1
b=4
c=3
we have
vertex=-b/2a=-4/(2*1)=-2
substitute value of x in equation 1.
y=4-8+3= -1
So
vertex(-2,1)
Please help asap on 1, 2 & 3!! I will mark you as brainliest!!
Answer:
18. C
19.A
20. C
Step-by-step explanation:
18.
x< 15 where x is the average that each person contributes.
This gives 3x <45, limiting the gift basket's total cost to < $45. (Actually ≤ 14.99 per person, so max cost is $44.97.
19. simple algebra
a <= -4 + 7
a <= 3
20.
since u divide and the co efficient is negative u flip the sign
-3m<15
m>-5
180 miles in 3 hours, what's the unit rate?
Answer:
60 or 60:1
Step-by-step explanation:
You will have to divide 180 by 3 which is 60 or you can divide 160 / 3 = 60 & divide 3 / 3 = 1.
Answer:
60
Step-by-step explanation:
60
Length of radius r ?
Answer: 10
We know that the radius of a circle is always perpendicular to the tangent. And so apply the Pythagoras theorem.
Answer:
The answer would be 10.
Step-by-step explanation:
We're doing C^2 - B^2 = A^2 since we know the hypotenus. 26 x 26 is 676 and 24 x 24 is 576. Subtract the two products to get 100. The square root of 100 is 10.
Write an equation for the line that contains (-15, -8) and is parallel to the
graph -3x + 5y = -8
Answer:
y=3/5x+1
Step-by-step explanation:
Hi there!
We are given the equation -3x+5y=-8 and we want to find the equation of the line that is parallel to -3x+5y=-8 and contains the point (-15,-8)
parallel lines have the same slopes, but different y intercepts.
So let's first find the slope of -3x+5y=-8
We can do this by converting the equation from standard form (ax+by=c where a, b, and c are free coefficients (numbers)) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
add 3x to both sides
5y=3x-8
divide by 5 on both sides
y=3/5x-8/5
3/5 is in the place of where m is, so that means that 3/5 is the slope of the line
we can write the equation of the new line in slope-intercept form.
Here it is so far:
y=3/5x+b
we need to find b
Because the line will pass through the point (-15,-8), we can use it to solve for b
substitute -15 as x and -8 as y
-8=3/5(-15)+b
multiply
-8=-9+b
add 9 to both sides
1=b
substitute 1 as b into the equation
y=3/5x+1
There's the equation of the line :)
Hope this helps!
Somebody please help me
Answer:
80% increase
Step-by-step explanation:
First, divide $0.25/$0.45, you get 0.8, turn it into a percent. 0.8=80%
There is an 80% increase.
Check work:
0.25x1.8=0.45
We multiply by 1.8 because 80% increase means 100% (itself) multiplied by 80% of itself, which gives us 180% or 1.8.
0.25x1.8=0.45 ✔️
Hope this helps!
:)
The width of an extra large rectangular poster is 8 inches more than half its length. The area of this poster is 306 square inches. Write an equation in one variable that could be used to find the number of inches in the dimensions of this poster.
SOMEONE HELO PLEASE 30 points
Answer: [tex]x^2+16x-612=0[/tex]
Step-by-step explanation:
Let x be the length of the poster.
As per given , width = [tex]\dfrac{x}{2}+8[/tex]
Area = Length x width
i.e.
[tex]306=(\dfrac{x}{2}+8)\times x\\\\\Rightarrow 306=(\dfrac{x+16}{2})\times x\\\\\Rightarrow 306\times2=x^2+16x\\\\\Rightarrow\ x^2+16x-612=0\\\\\Rightarrow\ x=18, x=-34[/tex].
Required equation: [tex]x^2+16x-612=0[/tex]
I NEED HELP WITH MATH
38.
f(3)
= 5(3) - 2
= 15 - 2
= 13
39.
5x - 20 = 0
=> 5x = 0 + 20
=> 5x = 20
=> x = 20/5
=> x = 4
38.)
option H
F(3) = 13
39.)
option C
40.)
{-4 , 8}
You roll 2 6-sided dice 50 times. How many times should you theoretically get a sum of 7?
Okay, so it sounds like you just need a die to do this assignment. If you need a website, you can use this: https://freeonlinedice.com/#dice
There should already be one die here. Just click "roll" and record the value at the top of the screen labeled "total." Do this 30 times and write down the values each time.
I am sorry for not giving you the answer right away, I would but my school blocked the website of the link I put above.
.find x in the following figure .plsss helppp!!!
Solve 2x + 6 > 20. OLA X> 18 B. X>7 O c. x
someone help por favor
Answer:
2x+6>20
2x>20-6
2x/2>14/2
x>7
So your answer would be B
A pen cost half as much as a ruler. Write an expression to describe how much the pen cost, using r as the cost of the ruler.
Answer:
r=2p
Step-by-step explanation:
If r is ruler and p is pen, ruler equals pen times 2, so its r=2p
Solve by finding the square roots: 3x2 - 9 = 3
Answer:
x= 2 or x= -2
Step-by-step explanation:
3x² -9= 3
+9 on both sides:
3x²= 9 +3
Simplify:
3x²= 12
Divide by 3 on both sides:
x² =4
Square root both sides:
[tex]x = \sqrt{4} [/tex]
x= 2 or x= -2
please answer me this question
Answer:
x=0.4 and y=0.6
Step-by-step explanation:
Given :
[tex]\frac{x}{2} +y=0.8\\x+2y=1.6.......(1)\\\frac{7}{x+y/2} =10\\\frac{7}{2x+y/2} =10\\\frac{7*2}{2x+y} =10\\\frac{14}{2x+y} =10\\14=10(2x+y)\\14=20x+10y.....(2)[/tex]
From solving above equation (1) and (2)
x=0.4
y=0.6
HELP!!! Chords AB and BD intersect in circle O as shown in the diagram. Two of the angle measurements are marked. What is mCED?
A. 24 degrees
B. 65 degrees
C. 72 degrees
D. 130 degrees
Answer:
48+82)/2 = 65
Answer C
Step-by-step explanation:
48+82)/2 = 65
(I just had this exact same question so I saw the picture)
Given right triangle ABC= with altitude BD drawn to hypotenuse AC. If AD=3 and, AC=27, what is the length of AB?
Given:
In a right angle triangle ABC, altitude BD drawn to hypotenuse AC.
AD=3 and, AC=27.
To find:
The length of AB.
Solution:
Draw a figure by using the given information as shown below.
In triangle ABC and ADB,
[tex]\angle ABC\cong \angle ADB[/tex] (Right angles)
[tex]\angle BAC\cong \angle DAB[/tex] (Common angle)
[tex]\triangle ABC\sim \triangle ADB[/tex] (AA similarity postulate)
We know that the corresponding parts of congruent triangles are proportional. So,
[tex]\dfrac{AC}{AB}=\dfrac{AB}{AD}[/tex]
After substituting the given values, we get
[tex]\dfrac{27}{AB}=\dfrac{AB}{3}[/tex]
[tex]27\times 3=AB\times AB[/tex]
[tex]81=AB^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{81}=AB[/tex]
[tex]9=AB[/tex]
Therefore, the length of AB is 9 units.
can someone pls help for brainlest
Answer:
6.28km
Step-by-step explanation:
Hey,
We know that the circumfrence is the perimetert of a full circle. If we want to find the perimeter of a semicircle all we have to do is find the circumfrence and then divide it by 2 since we want to know the perimeter of half the circle.
Circumfrence is equal to 2πr. Where r is the radius and since we know the radius we an solve for the circumfrence.
2(π)(1km)=2kmπ.
The problem tells us to use 3.14 for pi so let's multiply 2 by 3.14.
6.28km is the answer!
solve for x.round to the nearest tenth, if necessary.
HELP PLEASE == PGR is an isosceles triangle in which PQ=PR
M and N are points on PQ and PR such that angle MRQ and angle NQR.
Prove that triangles QNR and RMQ are congruent
Answer:
Angle NQR congruent to Angle MRQ because it is given
Side QR is congruent to side QR because they are the same side
Angle NRQ is congruent to angle MQR because they are the equal angles of an isosceles triangle
Triangle QNR is congruent to Triangle RMQ by ASA
Step-by-step explanation:
It's actually pretty simple. first you should be able to know angles NRQ and MQR are congruent because triangle PQR is isosceles . So now if you look at the two other triangles you can say angle NQR is congruent to angle MRQ, because of the information given, and with wht I just explained angles NRQ and MQR are congruent. So now you can say the two triangles are similar by the angle angle postulate.
To Say they are congruent since QR is the same for both triangles you can use the ASA postulate
find the value of x.
For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true. Write your solutions in the form of an ordered pair (x,y).
1)6x=7y
2) 5x+3y=9
3) y+5-(1/3)x =7
Answer:
3) y+5-(1/3)x =7
Step-by-step explanation:
Find at least three solutions to the equation y = 2x, and graph the solutions ... points to make a line. Find the slope of the line. y=3x- x. 3x-1 . -6 -5 -4 -3 -2 -1 ... Solve the following equation for y, and then identify the slope of the line
plz help me with this
Answer:
27.7
Step-by-step explanation:
Pythagorean Theorem
[tex]88.3^{2}[/tex] - [tex]10.7^{2}[/tex] = [tex]x^{2}[/tex] (10.7 comes from half of the 21.4 side)
[tex]x^{2}[/tex] = height
What is the output, or y-value, when you input x = 0 into the function:
y = x4 - 3x + 18
Answer:
[tex]y=18[/tex]
Step-by-step explanation:
[tex]y=x4-3x+18[/tex]
[tex]y=(0)4-3(0)+18[/tex]
[tex]y=0-0+18[/tex]
[tex]y=18[/tex]
Hope this helps
A communication tower is built on the slope of a hill. A surveyor, 50m uphill from
the base of the tower, measures an angle of 50 between the ground and the top
of the tower. The angle from the top of the tower to the surveyor is 60°.
Calculate the height of the tower to the nearest metre. [A2]
А
60
tower
50
O surveyor
50 m
B
Answer:
Step-by-step explanation:
a
The height of the tower is 44.23 meters after applying the sin law in a provided triangle.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have:
A communication tower is built on the slope of a hill.
A surveyor, 50m uphill from the base of the tower, measures an angle of 50 between the ground and the top of the tower.
Applying sin law:
sin50/AB = sin60/50
AB is the height of the tower.
sin50/AB = 0.0173
AB = 44.227 ≈ 44.23 meters
Thus, the height of the tower is 44.23 meters after applying the sin law in a provided triangle.
Learn more about trigonometry here:
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hi i need help with this algebra vocabulary please
Answer:
slope
Step-by-step explanation:
The slope is the rise divided by the run
Answer: The slope.
Step-by-step explanation: That's what I think.
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
Answer:
4X+5
Step-by-step explanation:
Dan : X
Harry: X+5
Regan: 2X
X+X+5+2X
Answer:
[tex]Mean = \frac{4x + 5}{3}[/tex]
Step-by-step explanation:
Given:
Dan sold = x
Harry sold 5 more than Dan, that is = x + 5
Regan sold twice as Dan = 2x
[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]