Answer:
x = 154/13
Step-by-step explanation:
You are given the measures of all three angles in a triangle
so according to the Triangle Sum Theorem:
∠MNO + ∠OMN + ∠NOP = 180
1. Substitute the measures of the angles into the equation:
(3x + 11) + (2x + 20) + (8x - 5) = 180
2. Combine like terms:
(3x + 2x + 8x) + (11 + 20 -5) = 180
13x + 26 = 180
3. Isolate x by subtratcing 26 from both sides
13x + 26 -26 = 180 -26
13x = 154
4. Solve for x by dividing both sides by 13
13x/13 = 154/13
x = 154/13
The velocity-time graph for a cycle is shown.
104
8
8
Velocity (m/s)
2
0
0 2 4 6 8 10 12 14 16 18 20
Time (seconds)
a) Work out the distance travelled on the cycle in the first 14 seconds.
b) Work out the acceleration in the first 4 seconds.
Answer:
a) 98m
b) 2m/s
Step-by-step explanation:
a) 2+4+6+8+10(8) = 98m
b) a = change/time = 8m/4s = 2m/s
not completely sure about a) so pls double check that <//3
good luck and hope this helped a bit!
The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².
How to find the area under a graph?The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.
The velocity time graph given in the problem can be used to find the distance travelled.
The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.
This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.
Now, the total area is given as,
1/2 × b × h + l × b
= 1/2 × 4 × 8 + 8 × 10
= 16 + 80
= 96
(b) The acceleration is given as the rate change of velocity with respect to time.
The acceleration in first 4 seconds is given as,
a = (8 - 0)/4
= 2
Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.
To know more about area of a graph click on,
https://brainly.com/question/26315835
#SPJ2
1. If m28 = 23°, find the measure of each missing angle. Give your reasoning.
a. m21 =
b. m 2 =
c. mZ3 =
d. m24 =
e. m25 =
f. m26 =
g. m27 =
Answer/explanation:
Given:
m<8 = 23°
a. m<1 = 180° - m<8 (corresponding angles theorem and supplementary angles theorem)
m<1 = 180 - 23 = 157°
b. m<2 + m<1 = 180° (linear pair)
m<2 + 157° = 180°
m<2 = 180° - 153° = 23°
c. m<3 = m<1 (vertical angles are congruent)
m<3 = 157°
d. m<4 = m<2 (vertical angles are congruent)
m<4 = 23°
e. m<5 = m<1 (corresponding angles)
m<5 = 157°
f. m<6 = m<8 (vertical angles are congruent)
m<6 = 23°
g. m<7 = m<5 (vertical angles are congruent)
m<7 = 157°
15. *Free response. GCO2. After examining the following graph, Kate claims that WXYZ is translated
according to the rule (x, y) (x + 11, y-2). Is she correct? If not, write the correct rule.
max scored 71 and 65 on his first two tests what does he have to get on his 3rd to get an average above 77
Answer:
To get an average for the three tests above 77, Max must have the lowest of 96 on the third test.
Step-by-step explanation:
Terminating decimal examples
Answer:
0.5, 2.456, 123.456, 0.12345, etc
Step-by-step explanation:
The definition for terminating decimal is; a decimal numeral in which, after a finite number of decimal places, all succeeding place values are 0, as ⅛ = 0.125 (contrasted with nonterminating decimal).
Which equation is equivalent to 2x + 3y = 12?
y=2/3x+4
y= -2/3x+12
y= -2/3x+4
y=2/3x+12
Answer:
y= -2/3x + 4
Step-by-step explanation:
2x + 3y = 12
3y = 12 - 2x
3y/3 = 12/3 - 2x/3
y = 4 -2x/3
y = -2x/3 + 4
Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)
Answer:
Answer:
(5, 20)
Step-by-step explanation:
We can find the slope of the line
m = (y2-y1)/(x2-x1)
= (40-0)/(10-0)
= 40/10
=4
Since the line goes through (0,0) the y intercept is 0
y = mx+b
y = 4x
Lets check the points by substituting into the equation
40, 10) 10 = 4*40 10 =160 no
(–5, –10) -10 = 4*-5 10 = -20 no
(5, 20) 20 = 4*5 20 = 20 yes
(–10, –20) -20 = 4*-10 -20 = -40 no
Step-by-step explanation:
Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)
Answer
c
Step-by-step explanation:
egde2020
Does anyone know these answers? 50 pts to you if u do.....don't steal from me.
y = -2x + 3
y = -x + 10
y = 4x + 10
y = 3/2x - 2
y = -1/2x - 1
y = x + 5
y = 25x + 5
y = .99x + 1.99
y = x - 2
y = -1.50 + 1.50
y = 42x + 27
y = -1/3x - 2
now i am in my phone can see the photo
sometimes in the computer don't appear the picture
Use algebra titles to solve x + 7 = 9.
Answer:
2
Step-by-step explanation:
9-7=2
Answer:
x = 2
Step-by-step explanation:
Subtract 7 from both sides.
[tex]x+7=9\\\\x+7-7=9-7\\\\\boxed{x=2}[/tex]
Hope this helps.
Describe a sequence of transformations that take isosceles trapezoid T to its image T'
Answer:If you rotate trapezoid BEFG counter clockwise 90° then reflected across pointy you will have the image above
Step-by-step explanation:
Transformation involves changing the position of a shape
The transformation from T to T' is a 90 degree counterclockwise
From the figure, we can see that:
The angle between isosceles trapezoid T and its image T' is a right-angle (i.e. 90 degrees)Figure T' is at the right of TThis means that:
A 90 degree counterclockwise through point D will take trapezoid T to T'
Hence, the required transformation is a 90 degree counterclockwise through point D
Read more about transformations at:
https://brainly.com/question/11709244
what is the slope of y-5 = 4 ( x+3)
Answer:
slope -5/4
Step-by-step explanation:
Alex has 64 cubes with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. Part B: If there are 64 of these cubes in the larger prism, then what is the volume, in cubic feet, of the larger rectangular prism?
Answer:
The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet
Step-by-step explanation:
Length of small cube =[tex]\frac{1}{2} ft[/tex]
Volume of each cube = Side^3
Volume of each cube =[tex](\frac{1}{2})^3[/tex]
=[tex]\frac{1}{8} ft^3[/tex]
Volume of 64 cubes = [tex]64 \times \frac{1}{8}[/tex]
Volume of 64 cubes [tex]= 8 ft^3[/tex]
We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.
So, Volume of 64 cubes = Volume of rectangular prism
So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet
I need help ASAP PLEASE
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
replace the numbers given for each variable: 7(2)=14+(-1)=13
yo if u need an bralest i got chu
Answer:
PLease
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
how can you find the y-intercept in a table
Answer:the y-intercept will be when y=0. the answer will be the x value that corresponds with y=0.
Step-by-step explanation:
a bag of grapes weighs 5/8 of a pound. Before any was eaten, the bag of grapes weighed 4 times this amount. What is the weight of the original bag of grapes
Which equation correctly applies the distributive property?
−1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25
70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)
−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6
i dont know ethrreer
Step-by-step explanation:
Answer:
Step-by-step explanation:The distributive property dictates that:
a(b + c) = ab + ac
Thus,
(0.7 x 0.7) + (0.7 x 0.9) + (0.7 x 0.2)
= 0.7(0.7 + 0.9 + 0.2)
follows the distributive property. The third option is correct.
TIMED TEST PLEASE HELP Find the distance between the points -5 and -3 on a number line.
Answer:
-2
Step-by-step explanation:
Answer:
(see below)
Step-by-step explanation:
You can also solve this algebraically:
–5 – (–3)
–5 + 3
–2
Since it can't be negative units between two points on a number line, you can multiply it by –1 to make it a positive number:
–2 (–1)
2 units
Or, you can use a number line. I have screenshotted a number line attached below for you.
Hopefully this helps!
A savings account balance can be modeled by the graph of the linear function shown on the grid.
What is the rate of change with respect to the number of deposits?
ANSWER CHOICES: 1). $0.50 per deposit. 2) $100 per deposit. 3) $2 per deposit. 4) $50 per deposit
Need help ASAP is this a function or not a function
Answer:
Not a function
Step-by-step explanation:
i need help 10 points plz help
Answer:
$15.10 per hour
Step-by-step explanation:
105.70÷7= $15.10 per hour
Josh works in a balloon store. He will put 45 balloons into bunches. He must use the same number of balloons in each bunch. The number of balloons in each bunch must be greater than 1 and less than 10. How many balloons could be in each bunch?
Answer: 5 or 9
Find the factors of the number 45.
1, 5, 9, 15
The numbers must be greater than 1 and less than 10.
Now, we must take 5 and 9.
5 x 9 = 45
9 x 5 = 45
The answers are 5 & 9.
Answer: 5, 9
Factors of 45:
15915455 and 9 are between 1 and 10.
They are the answers.
5 x 9 = 45
9 x 5 = 45
URGENT: Solve the following: (5x10^9)x(7x10^5)
A. 3.5 x 10^14
B. 3.5 x 10^15
C. 3.5 x 10^5
D. 3.5 x 10^4
[tex]5 \times {10}^{9} \times 7 \times {10}^{5} = [/tex]
[tex]35 \times {10}^{14} = [/tex]
[tex]3.5 \times 10 \times {10}^{14} = [/tex]
[tex]3.5 \times {10}^{15} [/tex]
And we're done....
♥️♥️♥️♥️♥️
Which equation has infinitely many solutions?
12 + 4x = 6x + 10 – 2x
5x + 14 – 4x = 23 + x – 9
x + 9 – 0.8x = 5.2x + 17 – 8
4x – 2x = 20
Answer:
Bbbbbbbbbbbbbbbbbbbbbb
Write the equation of a line that passes through (0, -6) and (11,1).
Answer:
y=7/11x-6
Step-by-step explanation:
What is 3/25 simplified? pls answer asap
Answer:
3/25
Step-by-step explanation:
trust me its right
Answer: 3 /25
is already in the simplest form. It can be written as 0.12 in decimal form (rounded to 6 decimal places).
The youth center needs to buy 50 tennis balls. They come in cans that hold 6 balls each. How many complete cans of tennis balls will they need to buy? Explain your thinking.
Answer:
9 complete cans
Step-by-step explanation:
50/6=8 remainder of 2
8 is not enough, they need 9 o
Determine whether the data shown is DISCRETE or CONTINUOUS.
Answer:it should be B
Step-by-step explanation:both of the graphs are the same which means we can cross out A and C. it cant continue without going negative
please help me find m<1-m<3 before 11:59 !
Es un juego de futbol de salon se vendieron 12000 boletos. El precio de los boletos es de $25.00 en la seccion numerada y $15.00 en la general. Si el ingreso total que se obtuvo fue de $220.000.00 ¿cuantos boletos se vendieron de la seccion numerada?
Answer:
La cantidad de boletos vendidos en la sección numerada = x = 4000 boletos
El número de entradas vendidas en la sección general = y = 8000 boletos
Step-by-step explanation:
Deje que el número de boletos vendidos en la sección numerada = x
Sea el número de boletos vendidos en la sección general = y
Es un partido de fútbol sala se vendieron 12.000 entradas.
x + y = 12000.… ..... Ecuación 1
x = 12000 - y
El precio de las entradas es de $ 25.00 en la sección numerada y $ 15.00 en la general. Si el ingreso total obtenido fue de $ 220,000.00,
$ 25 × x + $ 15 × y = $ 220 000
25x + 15y = 220.000 ..... Ecuación 2
Sustituya x por 12000 - y en la ecuación 2
25 (12 000 - años) + 15 años = 220 000
300000 - 25 años + 15 años = 220 000
300000 - 220000 = 25 años - 15 años
80000 = 10 años
y = 80000/10
y = 8000 boletos
x = 12000 - y
x = 12000 - 8000
x = 4000 boletos
La cantidad de boletos vendidos en la sección numerada = x = 4000 boletos
El número de entradas vendidas en la sección general = y = 8000 boletos
Responder:
8000
Explicación paso a paso:
Dado que las entradas:
Sección numerada = $ 25
Sección general = $ 15
Ingreso tital = 220.000
Número de entradas vendidas = 12000
Deje el boleto vendido de la sección numerada = n
Número vendido de la sección General = g
n + g = 12000
25n + 15g = 220.000
n = 12000 - g
25 (12000 g) + 15 g = 220000
300.000 - 25g + 15g = 220000
-10g = 220000 - 300000
-10g = - 80000
g = 8000
n = 12000 - g
n = 12000 - 8000
n = 4000
Entradas vendidas de la sección General = 8000