Answer:
[tex] \boxed{ \bold{ { \sf{height \: = \: 17.29 \: cm}}}}[/tex]
[tex] \boxed{ \bold{ \sf{base = 51.87 \: cm}}}[/tex]
Step-by-step explanation:
Let the height of a parallelogram be 'x'
Base of a parallelogram be 3x
Area of a parallelogram ( A ) = 897 cm²
Base ( b ) = ?
Height ( h ) = ?
First, finding the height of a parallelogram ( x )
[tex]\bold{ \boxed{ \sf{area \: of \: a \: parallelogram \: = \: base \: \times \: height}}}[/tex]
[tex] \dashrightarrow{ \sf897 = 3x \times x}[/tex]
[tex] \dashrightarrow{ \sf{897 = 3 {x}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{3 {x}^{2} = 897}}[/tex]
[tex] \dashrightarrow { \sf{ \frac{3 {x}^{2} }{3} = \frac{897}{3} }}[/tex]
[tex] \dashrightarrow{ \sf{ {x}^{2} = 299}}[/tex]
[tex] \dashrightarrow{ \sf{x = \sqrt{299} }}[/tex]
[tex] \dashrightarrow{ \sf{x = 17.29}}[/tex]
Height of a parallelogram = 17.29 cm
Finding the base of the parallelogram
[tex] \sf{base \: of \ \: a \: parallelogram = 3x}[/tex]
⇒[tex] \sf{base \: of \: a \: parallelogram = \: 3 \times 17.29}[/tex]
⇒[tex] \sf{base \: of \: a \: parallelogram = 51.87 \: cm}[/tex]
Base of a parallelogram = 51.87 cm
Hope I helped!
Best regards! :D
3.49x11.50 fghjkkgfghjgfgugyygygygygygygygygygggyggygygygygygyggygg
Answer:
40.135
Step-by-step explanation:
Use a calculator?
What is the gradient of a line perpendicular to a line with a gradient of 5?
Answer:
-1/5
Step-by-step explanation:
Perpendicular line is the negative inverse of the straight line.
So 5=-1/5
Phalicia is a senior at North HS and wants to begin saving for college. She's trying to choose between two savings account options.
Option 1: Phalicia deposits $300 and deposits an additional $50 each month.
Option 2: Phalicia deposits $5 and it triples each month.
Which option should she choose
Answer:
Option 2
Step-by-step explanation:
Let's say that Phalicia opens her savings account one year (12 months) before she goes to college.
With Option 1, she would have saved 300 + 50 * 11 = $850. We do 50 * 11 and not 50 * 12 because she deposits $50 for 11 months, not 12.
With Option 2, she would have saved 5 * 3¹¹ = $885735. Note that we do 3¹¹ and not 3¹² because 5 is being tripled 11 times.
Obviously, she should choose Option 2 because she saves A LOT more money.
Additionally, we can notice that Option 1 is an example of an arithmetic sequence whereas Option 2 is an example of a geometric sequence. Their explicit formulas would be aₙ = 50n + 250 and aₙ = 5 * 3⁽ⁿ⁻¹⁾ respectively.
3 lines are shown. A line with points P, R, N intersects a line with points O, R, M at point R. A line extends from point R to point L in between angle M R P. Marcus states that angle ORP and angle LRP are a linear pair. Which best describes his statement?
He is correct. The angles share a common vertex so they are a linear pair.
He is correct. The angles share a common ray so they are a linear pair. He is incorrect. Angle ORP does not form a linear pair with another angle in the diagram.
He is incorrect. Ray RO and ray RL are not opposite rays.
Answer:
D. He is incorrect. Ray RO and ray RL are not opposite rays.
Step-by-step explanation:
I just took the quiz.
Answer:
He is incorrect. Ray RO and ray RL are not opposite rays.
Step-by-step explanation:
The answer above is correct.
The area model shows 3 and one-fourth. What is 3 times 3 and one-fourth?
Answer:
9.75
Step-by-step explanation:
3 x 3 1/4 = 3 x 13/ 4
= 39/4
= 9.75
Hope i helped!
Answer:
9.75
Step-by-step explanation:
George has a part-time job which pays $10 per hour. He has already saved $94 toward the purchase of a new car stereo which
costs $194. If x represents the number of hours he still needs to work in order to buy the stereo, which of the inequalities
symbolizes this situation?
OA $10x + $94 $194
OB. $94x + $ 10 $194
OC $94x + $10 < $194
OD. $10x + $94 s $194
Answer:
[tex]\$10x + \$94\geq\ \$194[/tex]
Step-by-step explanation:
Given
Wage = $10 per hour
Savings = $94
Stereo = $194
Required
Represent the scenario using an inequality
From the question, x represents the number of hours.
If his wage is $10 per hour then, his wage is $10x in x hours
Solving further;
For George to afford the stereo, the sum of his wages and savings must be greater than or equal to the cost of the stereo
Mathematically, this is:
[tex]Wages + Savings \geq\ Stereo[/tex]
Substitute right values for the above expression
[tex]\$10x + \$94\geq\ \$194[/tex]
The options are not well presented, hwever the solution is [tex]\$10x + \$94\geq\ \$194[/tex]
Using the graph provided, find f(−2)
Answer:
f(-2) = 1
Step-by-step explanation:
f(-2) means find the y value when x = -2
Going to x=-2 and going up until we hit the blue line
f(-2) = 1
Answer:
[tex]\Large \boxed{f(-2)=1}[/tex]
Step-by-step explanation:
For f(-2), the input of the function f(x) is -2.
The input is the x value.
[tex]x = -2[/tex]
The output is the value of y.
When x = -2 on the graph, y = 1.
El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo d ela oficina,
a. Cuánto tiempo le tomará a ambas realizar el trabajo?
Answer:
El tiempo que tardarán Lourdes y Rosabel en hacer el trabajo juntas es de 3,6 horas.
Step-by-step explanation:
Los parámetros dados son;
El tiempo que tarda Lourdes en leer las letras = 6 horas
El tiempo que le toma a Rosabel leer las letras = 9 horas
Sea la cantidad total de trabajo de oficina = X
Deje que el tiempo que ambos tienen que trabajar para hacer el trabajo = t
Por lo tanto;
La tasa de trabajo de Lourdes = X / 6
La tasa de trabajo de Rosabel = X / 9
X / 6 × t + X / 9 × t = X
t × (1/6 + 1/9) = 1
t × 5/18 = 1
t = 18/5 = 3,6 horas
Por lo tanto;
El tiempo que les llevará a Lourdes y Rosabel hacer el trabajo juntas = 3.6 horas.
Annabelle’s bicycle has a wheel radius of 13 inches. She places a sticker on the wheel so that its minimum height above the ground is 0.5 inches. When she rides her bicycle, the wheel completes 90 revolutions every minute. The sticker begins at its minimum height above the ground. Which equation models the height in inches of the sticker after x minutes?
Answer:
The answer is D on edgen
Step-by-step explanation:
Answer: D
Step-by-step explanation: EDGE 2022 yw ^-^
If f(x) = -6x - 3, find f(x) = 21.
Answer:
[tex]\huge \boxed{x=-4}[/tex]
Step-by-step explanation:
[tex]\sf f(x)=-6x-3 \\\\\\ f(x)=21[/tex]
Applying substitution method and solving for the value of x.
[tex]\sf 21=-6x-3[/tex]
Adding 3 to both sides.
[tex]\sf 24=-6x[/tex]
Dividing both sides by -6.
[tex]\sf -4=x[/tex]
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
[tex]\large\boxed{f(x)=-129}[/tex]
Step-by-step explanation:
Given - f(x) = 21
Now we have to put the value in the given equation
f(x) = -6x-3
f(21) = -6(21) -3
= - 126 -3
= -129
Hope it helps
27 piece of steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 1 inch more than five times the length of the first piece. find the length of pieces
Answer:
where x is the length of the first place
[tex]x+1x+5x+1=27[/tex]
[tex]x=\frac{26}{7}[/tex]
Answer:
first piece: 3.25 inches
second piece: 6.5 inches
third piece: 17.25 inches
Step-by-step explanation:
a + b + c = 27
b = 2a
c = 5a + 1
a = first piece length
b = second piece length
c = third piece length
then:
a + 2a + (5a+1) = 27
8a + 1 = 27
8a = 27-1
8a = 26
a = 26/8
a = 3.25 in
b = 2a
b = 2*3.25
b = 6.5 in
c = 5a+1
c = 5*3.25 + 1
c = 16.25 + 1
c = 17.25 in
Check:
3.25 + 6.5 + 17.25 = 27
What is the distance between the points (4, -2) and (-1, 10)?
Answer:
d = 13 (distance between two points)
Step-by-step explanation:
(4, -2) and (-1, 10)
(X1, Y1) and (X2, y2)
distance between two points = d = sqrt (X2 - X1)² + (Y2 - Y1)²
d = √ (-1 - 4)² + (10 - (-2))²
d = √25 + 144
d = √169
d = 13 (distance between two points)
nearest thousand of 10391 please give me answer fast
Answer: 10,000
Step-by-step explanation:
Amir wants to do a full painting on the surface of a pottery. The pottery is in the shape of a cylinder with a height of 14 cm and a radius of 4.5 cm. If one tube of colour can be used to paint 120 cm² of drawing, calculate the number of tubes of colour needed to paint 15 potteries of the same type.
Answer:
About 66 tubes
Step-by-step explanation:
Cylinder surface area formula: 2πr(h + r) where h = height and r = radius
In this case, h = 14, π = 3.14 and r = 4.5 so the surface area of one pottery is:
2 * π * 4.5 * (14 + 4.5) = 166.5π ≈ 523.08
The surface area of 15 potteries would be 523.08 * 15 = 7846.2 so it would take 7846.2 / 120 = 65.385 ≈ 66 tubes. We round to the nearest integer because in this context, you can only have integer values of tubes, you can't have, say, 0.5 tubes.
Can someone help please.
Answer:
Angles 3, 6, and 5 and the answer. (put in form 3, 6, 5)
Step-by-step explanation:
The position d of bicyclist (measured in kilometres) is a linear function of time t (measured in minutes). At time t= 5 minutes, the position is d= 7 km. If the bicyclist travels 7 km for every 5 minutes, find the position of the bicyclist for time t= 15 minutes.
Answer:
21 kmStep-by-step explanation:
If the bicyclist travels 7 km for every 5 minutes then it is directly proportional
5 min 7 km
15 min x
[tex]x=\dfrac{15\cdot7}{5}=3\cdot7=21\,km[/tex]
Johnny receives a weekly allowance of $7. He wants to save up for a skateboard that costs $50. Write an inequality that calculates the number of weeks Johnny needs to save in order to purchase the skateboard. Use x for your variable.
Answer:
7× greater than or equal to 50
Step-by-step explanation:
it won't let me put the sign but I think that the correct answer
24 students in a class took an alegebra test. If 18 passed, what precentage passed.
Answer:
75%
Step-by-step explanation:
What percent of 24 is 18?
24x = 18
x = 18/24 = 3/4 = 0.75 = 75% passed
Answer: 75%
Step-by-step explanation:
18/24 = 0.75
0.75 * 100= 75%
Water flows through a pipe of a rate 12 cups every 5 hours. express this rate of flow in gallons per week. round your answer to the nearest tenths
Answer:
25.2 gallons per week
Step-by-step explanation:
[tex]\dfrac{12\text{ cups}}{5\text{ h}}\times\dfrac{24\text{ h}}{1\text{ da}}\times\dfrac{7\text{ da}}{1\text{ wk}}\times\dfrac{1\text{ gal}}{16\text{ cups}}=\dfrac{12\cdot24\cdot7\text{ gal}}{5\cdot16\text{ wk}}=\boxed{25.2\text{ gal/wk}}[/tex]
dont click XD REEEEEEEEEEEEEEEEEEE
Ben walks 500 meters from his house to the corner store. He then walks back toward his house, but continues 200 meters past his house to talk to a neighbor. It takes Ben 17 minutes from the time he leaves his house until he stops to talk to his neighbor. What is Ben’s average velocity? Round to the nearest tenth.
Answer:
0.2
Step-by-step explanation:
Edge 2020
Thanks to the people who commented the correct answer on the wrong answer!
Ben's average speed will be equal to 70.5 meters per minute.
What is an average speed?Calculating average speed involves dividing the whole distance travelled by the total time it took to cover that distance. Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
It is given that Ben walks 500 meters from his house to the corner store. He then walks back toward his house but continues 200 meters past his house to talk to a neighbour. It takes Ben 17 minutes from the time he leaves his house until he stops to talk to his neighbour.
The average speed is calculated as below:-
Average speed = Total distance / Total time
Average speed = ( 500 + 500 + 200 ) / 17
Average speed = ( 1200 ) / 17
Average speed = 70.5 meters per minute.
Therefore, Ben's average speed will be equal to 70.5 meters per minute.
To know more about average speed follow
https://brainly.com/question/680492
#SPJ6
the letters a,b and c, represent nonzero constants. Solve ax+b=c for x
Answer:
[tex]x = \frac{c-b}{a}[/tex]
Step-by-step explanation:
To solve for x, x needs to be on one side while all the other variables are on the other
To do this first subtract b from each side making the equation,
ax = c - b
Now divide by a on both sides. This means that to solve for x the equation must be ...
[tex]x = \frac{c-b}{a}[/tex]
Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia's altitude at the end of her climb?
Answer: 5418.54 feet
Step-by-step explanation:
Given: Nadia started at 19.26 feet below sea level.
She climbed a total of 5,437.8 feet up from her initial position.
Since we take negative integers to show depth .
Here, 19.26 feet below sea level. means - 19.26 feet respective to sea level
So her altitude at the end of her climb above sea level = 5437.8-19.26 feet =
= 5418.54 feet
Hence, Nadia's altitude at the end of her climb was 5418.54 feet.
Answer:
5,418.54
Step-by-step explanation:
got it right on edge
the equation, Y=10x represents a proportional relationship. what is the constant of proportionally?
Answer:
10
Step-by-step explanation:
Proportional relationships are written in the form y = kx where k is the constant of proportionality. In this case, k = 10 so the answer is 10.
Do you prefer online or real school?
Answer:
online
Step-by-step explanation:
it easy to cheat lol but I like real more tho
Evaluate 6|5 - c| + 2c when c = 6.
6
18
48
-24
Answer:
7.2
Step-by-step explanation:
6/5-6+2*6
=6/5-6+12
=1.2-6+12
=13.2-6
=7.2
simplify the following expression. 4 (x-2) - 3 (x-2)
Answer: x-2
Step-by-step explanation:
Given
4(x-2)-3(x-2)
Distributive property
=4x-8-3x+6
Move the like terms together
=4x-3x-8+6
combine like terms. REMEMBER you need to change signs if it is negative signs outside
=x-(8-6)
Simplify
=x-2
Hope this helps!! :)
Please let me know if you have any question.
22. Which is the interquartile range for
the city that has the
greater variability
in temperature?
Answer:
40
Step-by-step explanation:
Variability is a measures of the interquartile range of a given set of data. The greater the interquartile range, the more the variability.
The interquartile range (IQR) = Third quartile (Q3) - First Quartile (Q1)
IQR for City A = 70 - 40 = 30
IQR for City B = 80 - 40 = 40.
City B has a greater IQR value, therefore, it has the greater variability in temperature.
The interquartile range for the city with greater variability is 40.
Write the number 0.21212121 ... as a fraction
Answer:
1.91/9
Step-by-step explanation:
x=0.212121212........ .........1 equation
10x=2.12121212......... ........2 equation
1 equation - 2 equation
9x=1.91
x=1.91/9
therefore 0.212121.....=1.91/9
Question 1
Evaluate 10m + 7n/3 +n when m= -3 & n= 3
Answer:
-20
Step-by-step explanation: