[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Equilateral Triangles.
Since, we know that, all the sides of a triangle are equal, hence it is a Equilateral triangle.
Equilateral triangle has one all angles equal to 60°.
so, major angle P = 60°
hence, 2x=60°
===> x = 30°
Kyla wants to add songs to her phone to listen to while she is riding on the bus. She bought 100 songs on her account.She is planning to download an equal number of songs each week for the next 5 weeks. The number of songs left to download, y, for a certain number of weeks, c is shown in the graph.
A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 140 at increments of 20. A straight line joins the ordered pairs 0, 100 and 1, 80 and 2, 60 and 3, 40 and 4, 20 and 5, 0.
Part A: Determine the rate of change and the initial value (2 points) of the function show on the graph. What does each represent in the scenario (2 points)? Show/Explain the work you completed to find the rate of change and initial value (2 points).
Part B: Using the information from Part A, write the equation that would model this relationship between x and y in slope-intercept form. (4 points)
Answer:
Slope = - 20; intercept, c = 100
y = - 20x
Step-by-step explanation:
The slope (s) = Rise / Run
using the pairs : (0, 100) and (5, 0)
x1 = 0 ; y1 = 100 ; x2 = 5 ; y2 = 0
Rise = (y2 - y1) = (0 - 100) = - 100
Run = (x2 - x1) = (5 - 0) = 5
Slope = - 100 / 5
Slope = - 20
Using the slope intercept relation :
y = mx + c
m = slope ; c = intercept
y = - 20x + c
Using the point (4, 20) to find c
20 = - 20(4) + c
20 = - 80 + c
20 + 80 = c
100 = c
Hence, c = 100
Slope, m = number of songs downloaded per week
c = Total number songs at week 0
The equation expressed in slope intercept form:
General form:
y = mx + c
m = - 20 ; c = 100
y = - 20x + 100
[tex]2 \sin(x) - \sqrt{3} = 0[/tex]
[tex] when\frac{\pi}{2} \leqslant x \leqslant \pi[/tex]
Given:
The equation is
[tex]2\sin x-\sqrt{3}=0[/tex]
When [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].
To find:
The value of x.
Solution:
We have,
[tex]2\sin x-\sqrt{3}=0[/tex]
It can be written as
[tex]2\sin x=\sqrt{3}[/tex]
[tex]\sin x=\dfrac{\sqrt{3}}{2}[/tex]
It is given that [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].
[tex]\sin x=\sin \left(\pi-\dfrac{\pi}{3}\right)[/tex]
[tex]x=\dfrac{3\pi-\pi}{3}[/tex]
[tex]x=\dfrac{2\pi}{3}[/tex]
Therefore, the value of x is [tex]\dfrac{2\pi}{3}[/tex].
iki sayının oranı 5/8 dir bu iki sayının farkı 24 olduğuna göre toplamı kaçtır
Answer:
x = -40 and y = -64
Step-by-step explanation:
The ratio of the two numbers is 5/8, since the difference of these two numbers is 24, what is the sum
Let two numbers be x and y.
ATQ,
x-y = 24 ..(1)
and
[tex]\dfrac{x}{y}=\dfrac{5}{8}[/tex]
or
8x-5y =0 ...(2)
Multiply equation (1) by 8.
8x-8y = 192 ...(3)
Subtract equation (3) from (2).
8x-5y -(8x-8y) = 0-192
-5y+8y = -192
3y = -192
y = -64
Put the value of y in equation (1).
x-(-64) = 24
x+64 = 24
x = -64+24
x = -40
So, the values of x and y are -40 and -64 respectively.
22 foot ladder is placed against a vertical wall of building with the bottom of the ladder standing on level ground 9 feet from the base of the building how high up the wall does the ladder reach
Answer:
20.1 feet
Step-by-step explanation:
We solve the above question using the Pythagoras Theorem
The Pythagoras Theorem =
Opposite² + Adjacent ² = Hypotenuse²
From the above question,
Opposite side = Height of the wall = x
Adjacent side = Distance from the base of the building = 9 feet
Hypotenuse = Length of the ladder = 22 feet
Hence:
x² + 9² = 22²
x² = 22² - 9²
x = √22² - 9²
x = √403
x = 20.0748599 feet
Approximately = 20.1 feet
Therefore, the height of the wall = 20.1 feet
What is the longest side of a right triangle?
A )Right Angle
B) Hypotenuse
C)Lega
D )Leg B
There was an activity planned outdoors, but it started to rain. They took a vote and 45 people of the 60 people wanted to stay inside. The other 15 people voted to go outside in the rain. What percent of the class wants to go outside? Round to the nearest percent if needed.
Answer:
15/60×100=25%
Step-by-step explanation:
the number of students wanted to go outside/the whole number of students×100
15/60×100=25%
in each diagram, BD bisects
Answer:
26. ∠ABC=44
27. ∠ABC=86
28. ∠ABC=116
Step-by-step explanation:
Since BD bisects ∠ABC in each diagram, ∠ABD=∠DBC.
26.
∠ABD=∠DBC
5x+2=7x-6
2x=8
x=4
∠ABC=∠ABD+∠DBC
=5(4)+2+7(4)-6
=20+2+28-6
=44
27.
∠ABD=∠DBC
11x-12=8x+3
3x=15
x=5
∠ABC=∠ABD+∠DBC
=11(5)-12+8(5)+3
=55-12+40+3
=86
28.
∠ABD=∠DBC
9x-23=5x+13
4x=36
x=9
∠ABC=∠ABD+∠DBC
=9(9)-23+5(9)+13
=81-23+45+13
=116
The question is in the picture
Answer:
option 1
Step-by-step explanation:
Answer:
option 1
Step-by-step explanation:
what is the equivalent Ratios to 18:15
Answer:
6:5 in simplest form
Step-by-step explanation:
Answer:
6:5
Step-by-step explanation:
The greatest common factor, and only shared factor is 3. Use three and divide on both sides to get 6 and 5
Please help me on this I need help and nobody is really helping
Answer:
(0,0)
Step-by-step explanation:
That is the middle.
the question is in the picture. it’s math.
Answer:
Step-by-step explanation:
1). (8x - 49)° = (5x + 23)°
8x - 49 = 5x + 23
3x = 72
x = 24
2). m∠VST + m∠SVU = 180°
(5(24) + 23)° + m∠SVU = 180°
m∠SVU = 180° - 143°
m∠SVU = 37°
m∠SVT = 37° - 20° = 17°
A florist used the equation Y=KX to determine how many flowers she'd need for 7 bouquets. She determined she'd need 175 flowers. How many flowers were in each bouquet?
Answer:
25
Step-by-step explanation:
because 175/7= 25
what do u mean by trigonometry
Answer:
Step-by-step explanation:
There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.
Basic Formulas
By using a right-angled triangle as a reference, the trigonometric functions or identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse. tan θ = Opposite Side/Adjacent Side.
Main Trigonometric Functions
Sine (sin)Cosine (cos)Tangent (tan)Secant (sec)Cosecant (csc)Cotangent (cotBoth depend on distances and angles, but trigonometry uses the measurement of angles while geometry deals with angles only in terms of equality of angles and sums of angles. Actually, it seems like basic calculus is easier than basic trigonometry.
(hope this helps can i plz have brainlist :D hehe)
In AHIJ, h = 38 inches, i = 45 inches and j=61 inches. Find the measure of ZH to the nearest degree.
Answer:
38°
Step-by-step explanation:
Delta math
I NEED HELP ASAP ITS DUE RN
Answer:
x = 16
Step-by-step explanation:
15 points, 8-9 grade work
Polynomials
P(x) = 2x^4 + 3x^2 - 5x + 7
q(x) = -2x^2 + 4x - 3
calculation:
A. p(x) + q (x)
B. 2 • p (x)
C. p (x) - q (x)
D. 3 • p (x) + 4 • q (x)
E. p (x) • q (x)
F. (P (x) ) ^2
Answer:
A. p(x) + q (x) =2x^4 + 3x^2 - 5x + 7-2x^2 + 4x - 3 =2x⁴+x²-x+4
B. 2 • p (x)=2(2x^4 + 3x^2 - 5x + 7)=4x⁴+6x²-10x+14
C. p (x) - q (x) =2x^4 + 3x^2 - 5x + 7-(-2x^2 + 4x - 3 )=2x^4 + 3x^2 - 5x + 7+2x²-4x+3=2x⁴+5x²-9x-2
D. 3 • p (x) + 4 • q (x) =3(2x^4 + 3x^2 - 5x +7)+4(-2x^2 + 4x - 3 )=6x⁴+9x²-15x+21-8x²+16x-12=6x⁴+x²+x+9
E. p (x) • q (x)=sorry it is quite long.
F. (P (x) ) ^2this too.
In AJKL.m._J = 40and m K = 55°. In AMNP, m M = 40° and m P = 85 A student concludes that the triangles are not similar. Do you agree or disagree? Why? (1 point)
O Disagree, by the Interior Angles Theorem, m N = 55°, so the triangles are similar by the AA similarity criterion
O Disagree, by the Interior Angles Theorem, mZN = 45°, so the triangles are similar by the AA similarity criterion
O Agree by the interior Angles Theorem, m_N = 45 Togo the triangles are not similar by the AA
O Agree, since m_K #m_P, the triangles are not similar by the AA similarity criterion
Answer: A
Step-by-step explanation:
Source: trust me bro
1. 12x – 8x + 4 = 20
2. 9w + 4w – 5w + w = -9
Answer:
the answer for just eliminate the variables and to the solving tho get the answer as they get the answer to the number above
56 boys and 34 girls visit a zoo.
46 of these children have a voucher.
Three times as many boys as girls do not have a voucher.
Complete the frequency tree.
Answer:
the amount of boys that HAVE a voucher is 23
the amount of girls that HAVE a voucher is 23
Step-by-step explanation:
Answer: follow for more answers concerning maths, biology physics and chemistry
Step-by-step explanation:
Mr.Evans filled up his 14 gallon gas tank for $28.00. What was the price per gallon?
Answer:
$2 per gallon
Step-by-step explanation:
28/14=2
PLEASE ANSWER THIS. I WILL MAKE HIM/HER A BRAINLIST!!!!
Answer:
1 - Copy and complete this table for y = 2x
x = -3 | y = -6
x = -2 | y = -4
x = -1 | y = -2
x = 0 | y = 0
x = 1 | y = 2
x = 2 | y = 4
x = 3 | y = 6
2 - Copy and complete this table for y = 2x - 3
x = -2 | y = -7
x = -1 | y = -5
x = 0 | y = -3
x = 1 | y = -1
x = 2 | y = 1
x = 3 | y = 3
x = 4 | y = 5
x = 5 | y = 7
y=2x
The way to solve this is plugging in your above x value in for x into the equation y=2x and solving for y.
Example:
y=2x
^You want to find x=-3
y= 2(-3)
y= -6
Your answers:
-6, -2, 0, 4, 6
y=2x -3
Same concept here as above. You are solving for y when you plug in the given x value into the equation.
Your answers:
-5, -3, -1, 3, 5
What’s the answer to this question?
x² =
12
16
48
2. The weather forecast calls for 12 cm of snow. How many inches
can you expect?
4. You have a 1.5 gal jug. How many litres will it hold?
5. Joe is travelling in the United States. A road sign indicates he is
228 mi from his destination. How many kilometres is Joe from
his destination?
Answer:
2. 1 inch
4. 5.68 liters(if we estimate)
5. 366.96 kilometers
Step-by-step explanation:
2. centimeters to inches
4. gallons to liters
5. miles to kilometers
Need help with khan.
Answer:
144
Step-by-step explanation:
10x+24°=6x+72°
10x-6x°=72°-24°
4x=48°
X=48°/4°
X=12°
Then, angle A=10x+24°
A=10×12+24°
A=144°
what is the y value when x=-1?
what is the y value when x=0?
what is the y value when x=-1?
Answer:
2
0
-2
Step-by-step explanation:
sub x into formula
-2(-1)=2
-2(0)=0
-2(1)=-2
Answer:
60
Step-by-step explanation:
A line graph titled Car Mileage for a Hybrid Car has number of gallons on the x-axis, and number of miles on the y-axis. 1 Gallon is 60 miles, 2 gallons is 120 miles, 3 gallons is 180 miles, and 4 gallons is 240 miles.
What is the value of y when the value of x is 1?
2x + 6 y = 68
2x + 4y = 46
Answer:
1. x=34−3y
2. x=23−2y
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x+6y-(2x+4y)=68-46
2y=22
y=11
2x+4(11)=46
2x=2
x=1
Consider 3y+6x+3 in the form y= ax+b. Find the constants a and b.
Answer:
a= -2 and b= 0
Step-by-step explanation:
Sorry the picture is a bit blurry
PLSSSSS HELP CORRECT ANSWER GETS BRAINLIEST
Answer:
6 units
Step-by-step explanation:
use imagination to separate the triangle from the square.
2*2 is 4 which is the volume of the square part
2*2/2 is the volume of the triangle which divides out to be 2
2+4=6
in real life when do you think it would br helpful to know to calculate slope
Answer:
When ur going down it
Step-by-step explanation:
Please Help!!!!!!!!!!!!! Will Give Brainliest
Answer:
sum of all angles =180
15° + 25° +(39+x) =180°
40° + 39 +x = 180
79° +x =180
x = 180 - 79
x. = 101
complete angel = 39 +x
= 39 + 101
= 140