Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70 [tex]m^{2}[/tex]
From there
x * (2x - 4) = 70
[tex]2x^{2}[/tex] - 4x = 70
[tex]2x^{2}[/tex] - 4x - 70 = 0
[tex]x^{2}[/tex] - 2x - 35 = 0
Now we have a quadratic equation, which is a[tex]x^{2}[/tex] + bx + c = 0, where a [tex]\neq[/tex] 0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D = [tex]-2^{2}[/tex] - 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are [tex]\frac{- b - \sqrt{D} }{2a}[/tex] and [tex]\frac{- b + \sqrt{D} }{2a}[/tex]
[tex]x_{1}[/tex] = [tex]\frac{- (-2) - \sqrt{144} }{2}[/tex] = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
[tex]x_{2}[/tex] = [tex]\frac{- (-2) + \sqrt{144} }{2}[/tex] = 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
Your store cost on a dozen eggs is $0.75, and your retail price is $2.99. You are having a promotion that discounts the
eggs 10%. What is your margin on the discounted eggs?
Answer:
$1.94
Step-by-step explanation:
The Margin on the discounted eggs is $2.392.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Store cost on a dozen eggs is $0.75,
and retail price is $2.99.
The amount of discount is 10%
Discount given on $2.99
= 10% of 2.99
= 0.1 x 2.99
= 0.299
Cost of eggs after discount =2.99-0.299= 2.691
So, The discounted eggs costs $2.691.
Hence, The difference in store cost and discounted cost = 2.691- 0.299
= $2.392
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ5
please help me out please
Answer:
Distance formula = √(x2 - x1)^2 + (y2 - y1)^2
Step-by-step explanation:
(-2, 6) to (3, -2)
3 + 2 = 5^2 = 25 + 64 = 89.
√89
BRAINLIEST!!
You survey the students in your class to find out what kinds of movies they
like to watch. The students were given the following choices: Comedy (C),
Horror (H), Drama (D), Action (A), Romance (R).
The following were the results of your survey:
C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R, H, H, H, C, H, A, R, D, D, D, D, H, R
b. What is the relative frequency of the people that chose comedies? Show your calculation.
c. What is the relative frequency of the people that chose horror? Show your calculation.
Answer:
13.33 %
23.33 %
Step-by-step explanation:
Simple probability question.
The relative frequency of people who chose comedies, would be 4/30 => 4/30*100 = 13.33 %
The relative frequency of people that chose horror, would be 7/30 => 7/30*100 = 23.33 %
PLZ HELP ME :(
Tanisha lives in an apartment and pays the following expenses each month: electric bill,$42.60; TV streaming service,$27.99; and rent,$587.70. Estimate her total expenses for the month by first rounding each value to the nearest tens place.
A.)$659
B.)$650
C.)$670
D.)$660
Answer:
D)$660
Step-by-step explanation:
Add all of them up and you get $658.29 the number in the tens place is 5 and the number on the right is 8 so you round up.
please help! I will give brainlist
Answer:
A= Yes, it's the equation
B= it's what the problem equals
Step-by-step explanation:
I think this is right I'm not to sure but I think it is
hope this helps :)
Step-by-step explanation:
the process shown in the picture.
CAN SOMEONE HELP ME PLEASE
Answer:
[tex]\frac{\sqrt{189x^3y^6} }{\sqrt{3x} } \\= \frac{\sqrt{3^2(7)(3)(x^2)(x)(y^3)^2} }{\sqrt{3x} } \\=\sqrt{\frac{(3xy^3)^2(7)(3x)}{3x} }\\=3xy^3\sqrt{7}[/tex]
Two angles of an isosceles triangle are X and (X+10) .find two possible values of X.
Answer:
Step-by-step exp
X+x+(x+10)=180
3x+10=180
3x=180-170
x=56.666666degrees.
Case 2
x+(x+10)+(x+10)=180
3x+20=180
3x=160
X=53.333333
i hope the answer is help ful
When two angles of an isosceles triangle are given in the form of x, then the value of a single angle can have two possible outcomes those are:
X can be [tex]56.66^\circ[/tex]X can be [tex]53.33^\circ[/tex]Given,
Two angles: X and [tex]\rm{X}+10[/tex]
As we know in an Isosceles triangle, the sum of all the angles is equal to[tex]180^\circ[/tex] and any of the two angles can be equal.
There can be two possible outcomes:
Case 1. When the two equal angles are X
[tex]\begin{aligned}\text{X}+\text{X}+(\text{X+10})&=180\\3\text{X}+10&=180\\3\text{X}&=180-10\\\text{X}&=\dfrac{170}{3}\\\text{X}&=56.66^\circ\end{aligned}[/tex]
Case 2: When the two equal angles are [tex]\rm{X}+10[/tex]
[tex]\begin{aligned}\text{X}+(\text{X}+10)+(\text{X}+10)&=180\\3\text{X}+20&=180\\3\text{X}&=180-20\\\text{X}&=\dfrac{160}{3}\\\text{X}&=53.33^\circ\end{aligned}[/tex]
Therefore, the two possible values of X can be [tex]56.66^\circ[/tex] and [tex]53.33^\circ[/tex]
To know more about the angles of the isosceles triangle, refer to the link:
https://brainly.com/question/12105959
Through (-5,-3), slope = 1/5
Answer:
what you want
1/5x-5+-3=y
Step-by-step explanation:
Answer:
y=1/5x-2
Step-by-step explanation:
(y - y1) = m(x - x1)
y-(-3)=1/5(x-(-5))
y+3=1/5(x+5)
y+3=1/5x+1
y=1/5x+1-3
y=1/5x-2
If 1 large popcorn and 4 large drinks cost $21 how much does 1 large popcorn cost?
Answer:
6-7 dollars maybe?
Step-by-step explanation:
you didn't give a picture so Im just rounding
(sorry if I'm wrong)
a water cooler shaped like a rectangular prism has length of 80 centimeters a width of 40 centimeters and height of 100 centimeters what volume of water is needed to fill the water cooler
[tex]volume = lwh[/tex]
[tex]volume = (80)(40)(100)[/tex]
[tex]volume = 320000 \: {cm}^{3} [/tex]
You need a volume of 320000 cm³ of water to fill the water cooler.
HELP HELP I NEED HELP ASAP
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George's older brother weigh?
Plz Solve Will Mark Brainliest and No Stealing Points Or Will Report
Part 2
Answer:
Before we graph [tex]y = -\frac{1}{2}x,[/tex] we know that the slope, mx, could be read as [tex]\frac{rise}{run}[/tex]. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.
For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable [tex]x[/tex] does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.
Zane buys a rope that is 50 feet long. The cost of the rope is $0.35 per foot, including tax. What is the total cost, in dollars, of Zane’s rope?
Answer:
50x.35=17.50
Step-by-step explanation:
multiply length times amount per foot equals total cost
Simplify: |72 - 9 • 7| - 8|16 - 2|
Answer:
answer is -103
Having trouble solving this:
Answer:
option c.
1/100
.........................
Answer:
0.01= [tex]\frac{1}{100}[/tex]
70√201 please give me your answer
Answer:
992.42
Step-by-step explanation:
The area of triangle ABC is?
Answer:
[tex] A(\triangle ABC) =17.5 \: {units}^{2} [/tex]
Step-by-step explanation:
AB = 4 - (-3) = 4 + 3 = 7 units
BC = 3 - (-2) = 3 + 2 = 5 units
[tex]A(\triangle ABC) = \frac{1}{2} \times AB\times BC \\ \\ A(\triangle ABC) = \frac{1}{2} \times 7\times 5 \\ \\ A(\triangle ABC) = \frac{1}{2} \times 35 \\ \\ A(\triangle ABC) =17.5 \: {units}^{2} [/tex]
Write the linear equation in slope-intercept form given the following:
(-3, 7) and (6, -8)
Answer:
y = - [tex]\frac{5}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)
m = [tex]\frac{-8-7}{6+3}[/tex] = [tex]\frac{-15}{9}[/tex] = - [tex]\frac{5}{3}[/tex] , then
y = - [tex]\frac{5}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (6, - 8) , then
- 8 = - 10 + c ⇒ c = - 8 + 10 = 2
y = - [tex]\frac{5}{3}[/tex] x + 2 ← equation of line
what is the measure of EGF?
Answer:
i think c
Step-by-step explanation:
Answer:
B) 40.18°
Step-by-step explanation:
since it's a right triangle and you know values for opposite and hypotenuse you can use:
sin x = 12/18.6
this comes out to be 40.18°
Edward wants to take his friends bowling at a bowling alley that charges $5.50 per person for unlimited bowling plus a $3.50 basic lane fee. He doesn´t want to spend more than $44. How many friends can he invite without going over budget?
Answer:
He can invite 7 friends
Step-by-step explanation:
44 divided by 5.50=8 BUT!
remember the lane fee so only 7 friends can come
the original pattern for dress is 33 3/4 inches long. kimmy needs her dress to be 32 1/2 inches long how much shorter than the pattern does kimmy need to make her dress
Answer: 1 1/4
Step-by-step explanation: 32 1/2 is the same as 32 2/4 so all you have to do is subtract 32 2/4 from 33 3/4 which leaves you with 1 1/4
P = 100 - 20 cos (8πt/3) That's (8 pi t /3) where t is the time (in seconds). What is the period of the model? Discuss what the period represents in the context of this model.
Answer:
The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.
Step-by-step explanation:
Cosine is a trigonometric function and trigonometric functions are characterized by having a periodical behavior. The period is the time needed for the function to cover an angle of [tex]2\pi[/tex] radians. By this approach we find that:
[tex]\frac{8\pi\cdot t}{3} = \frac{2\pi\cdot t}{T}[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]T[/tex] - Period, measured in seconds.
Then, we solve (1) for [tex]T[/tex]:
[tex]\frac{8}{3} = \frac{2\pi}{T}[/tex]
[tex]T = \frac{6\pi}{8}\,s[/tex]
[tex]T = \frac{3\pi}{4}\,s[/tex]
The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.
Simplify the expression
Answer:
-9.8n + 10.9
Step-by-step explanation:
2.9 + 8 = 10.9
-4n + -5.8n = -9.8n
Which of the following is a polynomial?
A. X^4+ x^-4+ 16
B. 1/2+ 2
C. x2-1
D. (x^6- 2)
(x^4 +3)
A steel bridge is 1000m lang at 20 degrees celsius. The bridge will expand or contract by .10m when the temperature changes by 1 degree celsius. How long would the bridge be at 24 degrees celsius? *
Answer:
1000.4m
Step-by-step explanation:
Objects usually expand when the temperature is warmer
Each degree celsius higher, the bridge expands by .10m
If the temperature goes from 20 to 24, it increases by 4 degrees which will be 0.4m
1000m+0.4m=1000.4m
5 circles lie on the same plane.What is the maximum number of intersection points the circles can have?
the answer is 10 pts bc the maximum number of points of intersection when 5 lines are drawn in a plane, as shown, is 10 points.
Answer:20
Step-by-step explanation: The rule you use for the problems is the same you use for finding the sum of patterned numbers: n*(n+1). n is equivalent to the number of circles. Thus, 5 *(5-1)= 5*4=20
Hope it helps!
Write an algebraic expression for three times the quantity q minus eleven
3. A building stands on level ground. The measure of the angle of elevation of the top of the building, taken at a
point 400 feet from the foot of the building, is 31 degrees. Find, to the nearest tenth of a foot, the height of the
building
Answer:
12,400
Step-by-step explanation:
so what you are going to first is 400 times 31 which is 12,400
Tito builds a model of the solar system. In his model, the diameter of the sphere representing Jupiter is 7
inches. What is the circumference of a cross section through the center of the model of Jupiter? Use 3.14
for π
Answer:
21.99
Step-by-step explanation:
C = 2 * Pi * (r)
Diameter = 7
Radius = 3.5
Pi
21.99
Find the value of x when the triangle has 9 and 3
Answer:
H²=h²+b²
H²=9²+3²
H²=81+9
H²=90
H=
[tex] \sqrt{90} [/tex]
