Answer:
Base = 3 cm
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2} bh[/tex]
Let h = height
base = 2 times the height - 5; b = 2h-5
Area = 6 cm²
A = [tex]\frac{1}{2}bh[/tex]
[tex]6 =\frac{1}{2}(2h - 5)(h)[/tex] Multiply 2h(h) -5(h)
[tex]6 (2) = 2(\frac{1}{2})(2h^{2} - 5h[/tex] Multiply both sides by 2 to remove the fraction
12 = 2h²- 5h
2h ² - 5h - 12 = 0 Set the equation = 0 and factor
(2h + 3)(h - 4) = 0
2h + 3 = 0 or h - 4 = 0
2h = -3 h = 4
h = -3/2 or h = 4 Answer can not be negative so h = 4cm
The base is 2(4) - 5; The base = 8 - 5; base = 3 cm
A watt is the basic unit measurement of electrical power. Suppose you are running the air conditioner, the washing machine, the clothing dryer, two computers, four light bulbs, the refrigerator, and two televisions Use the chart at the right and calculate how much wattage you might need in this situation. Show your k = write an inequality that shows what the available wattage must be greater than
Considerations based on the wattage of the available appliances are required when designing for the electricity.
The required wattage inequality is; Available wattage > 10,460 WattsReasons:
The items used and the possible power consumption obtained from a similar are as follows;
Appliance [tex]{}[/tex] Average power (Watts)
One air conditioner; [tex]{}[/tex] 3,500
Washing machine; [tex]{}[/tex] 500
Clothing dryer; [tex]{}[/tex] 5,000
Computers × 2; [tex]{}[/tex] 70 × 2 = 140
Light bulbs × 4; [tex]{}[/tex] 60 × 4 = 240
Refrigerator; [tex]{}[/tex] 600
Television × 2; [tex]{}[/tex] 240 × 2 = 480
The power, P, in watts that might be needed is found as follows;
Power, P = 3,500 + 500 + 5,000 + 140 + 240 + 600 + 480 = 10,460
The electric power in watts that might be needed, P = 10,460 Watts
Therefore;
The available wattage must be greater than 10,460 Watts
The inequality is; Available wattage > 10,460 Watts
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Work out the mean for the data set below:
3.4, 5.2, 4.7, 3.5, 0.5
Give your answer as a decimal.
Answer:
3.4 + 5.2 + 4.7 + 3.5 + 0.5
= 17.3
There are a total of 5 numbers
17.3 / 5
= 3.46
if you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose
Answer:
300 ft^2
Step-by-step explanation:
Multiply 30 by 10
The largest possible area that we can enclose in a form of a rectangle with a perimeter of 80 ft is 399 sq feet.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
Given, I have 80 feet of fencing.
Assuming the length of the wall to be 'l' and the width of the wall to be 'w'.
∴ 2(l + b) = 80.
l + b = 40.
So, the sum of length and width is 40, now l + b can be 20 + 20 but that would be a square and give us maximum area but we need a rectangle.
We know the product of the sum of two numbers is maximum when the difference between them is minimum.
∴ The maximum rectangular area we can enclose is when the length is 21 and the width is 19.
Area = 21×19 sq feet.
= 399 sq feet.
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(10). An article marked at 1,200 is sold at an 8% discount . Find the S.P of the article?
Answer:
$1,104
Step-by-step explanation:
If the discount is 8%, then you would need to subtract 8% (0.08) from 1, which would be 0.92. Now multiply $1,200 by 0.92 and you'll get $1,104.
=================================================
Solution:[tex] \rightarrow [/tex] 1,200 x (100% - 8%)
[tex] \rightarrow [/tex] = 1,200 x 0.92
[tex] \rightarrow [/tex] = 1,104
Which answer is an equation in point-slope form for the given point and slope? point: (7, 4); slope: 6.
Answer: the answer is
y-4=6*(x-7)
Step-by-step explanation:
how do I find a slope that does not have zero as a point of origin
Answer:
See answer below.
Step-by-step explanation:
Pick any two ordered pairs that is on the given graph line.
The Slope = (the change in the y-values)/(the change in the x-values) or
A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there
A. 49
B. 47
C. 52
D. 51
Answer:
A. 49
Step-by-step explanation:
ratio of houses is 3 new to 7 old
21 new is 7 times more than 3, so 7 will also be 7 times more
so, 21 to 49
I hope that made sense
there are 5 crayons 4 pencils and 6 erasers. what is the number of crayons to total school supplies
Answer:
5 crayons to 15 school supplies
Step-by-step explanation:
since its supplies in general, add 5 crayons, 4 pencils, and 6 erasers to get 15 total
what is the unit rate if there are 80 miles driven using 4 gallons of gas
A. 21 miles per gallon B. 20 miles per gallon
C. 22 miles per gallon D. 19 miles per gallon
Which expression is undefined? (-4+0) O A. OB. 0 : 11 O c. OD. –
Answer:
C
Step-by-step explanation:
Third expression asks you to basically divide by zero. That is, find a number that multiplied by 0 gives you 3, which is impossible.
Hello!
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Option C
Division by 0 is undefined.
6-6=0, and any expression that has 0 it its denominator is undefined.
I hope it helps you! (:
~SparklingFlower
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Find the area of triangle PQR.
Answer:
70°
Step-by-step explanation:
Since PTS shape is equal to QTR
and PTQ shape is equal to STR
and Since QTP = 10
and Since PTS = 60
Add both up 70
Therefore PQR = 70°
Please help me, its 3:06am in the morning & i have class in 3 hours :(
they look the same size but because of the 2 in front meaning it's going to be double than what the real answer it is (and it twelve Ike it's counter part) it would be six... yet someone already answered before me so credits to him.
ANSWER 6
ne ajudemmmm pfvvv ...
Answer:
NEED TRANSLATOR
Step-by-step explanation:
ENGLISH PLEASE
Please help with this math
Answer:
iuj
Step-by-step explanation:
The ratios of boys to girls in a class is 6:9. If there are 39 girls in the class, how many boys would be in the class?
Answer:
6.5
Step-by-step explanation:
6 to 9 so 39 divided by 6 and you get 6.5
Answer:
6:9 in-simplified is 23:39
Step-by-step explanation:
So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.
Pls help fast
What is the recursive rule for the sequence shown in the graph
Answer:
[tex]a_{n} =a_{n-1} -4[/tex]
explanation:
The recursive rule for the given graph will be [tex]a_{n} = a_{n-1}-4[/tex] thus, option (A) is correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
In the given graph, as n increases [tex]a_{n}[/tex] decreases.
At n = 4 , a₄ = a₃ - 4 = 5 - 4 = 1
Thus, [tex]a_{n} = a_{n-1}-4[/tex] will be the recursive rule.
Hence "The recursive rule for the given graph will be [tex]a_{n} = a_{n-1}-4[/tex]".
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Keshawn's bank account had a balance of $40.51 last month. This month he won a cash prize of $73.95 for winning a competition. How much money does Keshawn have at the end of the month if there are no other transactions?
Answer:
$114.46
Step-by-step explanation:
40.51+73.95=114.46
use the long division method to divide 120÷24
Step-by-step explanation:
120÷24
0 24⟌120
0 24⟌120 0
0 24⟌120 -0 1
00 24⟌120 -0 12
0 24⟌120 -0 12
00 24⟌120 -0 12 - 0 12
00 24⟌120 -0 12 - 0 120
An employee receives an 8% raise each year. The salary this year is $42,000. Which two expressions will calculate the salary for next year?
Answer this Question I’ll BrainElist and PLEASE HELP ME DUE NOW PLEASE
Step-by-step explanation:
I I think you have your answer now
4x+8=3
help asap
step by step please
[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]
Answer:
x= -5/4
Step-by-step explanation:
4x+8=3
4x=3-8
4x=-5
x= -5/4
plsss helppp
can you pls do this?
Option A: 40 trash bags for $6.29 Option B: 24 trash bags for $3.89
Which is the better option. Explain step by step-by-step.
Solving inequalities
3n + 8 < 5
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable. Inequality Form:
n < -1
A line is an undefined term because it
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
Undefined Terms.
In geometry, point, line, and plane are considered undefined terms because they are only explained using examples and descriptions. Name the points, Lines, & Planes. Collinear points are points. that lie on the same line.
Answer:
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
Serena’s average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total distance that she ran?
Use the formula d = rt, where d represents the distance, r represents the rate, and t represents the time.
4 km
Step-by-step explanation:
so, we just enter the given data into the given formula. and then calculate. it does not get easier than that.
d = 8km/h × 2h = 16km
Serena ran 16km in these 2 hours.
Answer:
the correct answer is 16km
Step-by-step explanation:
pl.z dont delete this
For Geometry: explain why Angle- Angle Troangle Similarity Theorem works
Answer: To answer your question: If two of the angles of two triangles are the same, the triangles are similar. ... If two of the angles are known, the third can be found by subtracting the two known angles from 180. If the three angles of two triangles are the same, the triangles have the same shape and are similar.
Step-by-step explanation:: I have now explained to you why the Angle- Angle Triangle Similarity Theorem works i hope Iwas able to help good luck
discount is calculated on which price
Answer:
The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price
What is the value of x?
A hexagon (6 sides)
133°
112°
x°
120°
128°
100°
please help asap, no links
Answer:
X is 120° I hope this helps you
plz someone help me..
