We are dealing with an equilateral triangle which has 3 equal sides.
length of a side = 3 ft
Since the three sides of an equilateral triangle are equal and we are given two sides to have lengths of 3x - 9 and 23 - 5x , it means that;
3x - 9 = 23 - 5x
Rearranging this gives;
3x + 5x = 23 + 9
8x = 32
x = 32/8
x = 4
putting 4 for x in 3x - 9, we have;
3(4) - 9 = 3 ft
Thus,
length of a side = 3 ft
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John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes,
Approximate Value Exact Value Error Absolute Error Ratio Percent Error
$100
$75
$25
How much was the absolute error in his estimate?
$
Intro
Answer:
Absolute error = $25
Step-by-step explanation:
Given that:
Amount spent by John on shopping trip = $75
Estimated amount to spent on shopping trip = $100
Absolute error = Approximate value - Exact value
Here,
Approximate value = $100
Exact value = $75
Absolute error = 100 - 75
Absolute error = $25
Percentage = [tex]\frac{Absolute\ error}{Exact\ value}*100[/tex]
Percentage = [tex]\frac{25}{75}*100[/tex]
Percentage = 33.33%
Hence,
Absolute error = $25
reduce to the simplest form[tex]\frac{286}{858}[/tex]
Answer:
143 over 428
Step-by-step explanation:
What is a function?
A)Every x-value has more than one y-value.
B) Every x-value has exactly one y-value.
Answer:
A
Step-by-step explanation:
in a season there are 40 matches.
How many matches should Sachin's team expect to win in a season?
Which of the following expressions will result in a product less than zero?
А
6.4 x (-3.5)
B
-7.1 x (2.5)
С
-2.3 (-1.9)
D
9.2 x (4.0)
Answer:
All of the except for D and C
Step-by-step explanation:
A negative times a positive is always negative
Answer:
A,B
Step-by-step explanation:
using pythagoras theorem if a = 3, b = 4 what is c?
3
4
5
6
3.6
Answer:
5
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ \\ {3}^{2} + {4}^{2} = {c}^{2} \\ \\ 9 + 16 = {c}^{2} \\ \\ {c}^{2} = 25 \\ \\ c = \sqrt{25} \\ \\ c = 5[/tex]
2x + y = 11
3x - y = 4
Answer:
[tex]x=3,y=5[/tex]Step-by-step explanation:
Add the equations together and solve for x.
[tex](2x + y )+ (3x - y) = 11 + 4[/tex]
[tex]5x=15[/tex]
[tex]x=3[/tex]
Use equation [tex]2x+y=11[/tex] to solve for y.
[tex]2(3) +y=11[/tex]
[tex]6+y=11[/tex]
[tex]y=11-6[/tex]
[tex]y=5[/tex]
work out 1/5 of 80 =
Answer:
16
Step-by-step explanation: your welcome
Need Help with this please!!
Answer:
A is 85 degrees
Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base
what is the hight?
Solve for u. m/u^2+r=−k−y
9514 1404 393
Answer:
u = ±√(-m/(k+r+y))
Step-by-step explanation:
Subtract r, rearrange, then take the square root.
[tex]\dfrac{m}{u^2}+r=-k-y \qquad\text{given}\\\\ \dfrac{m}{u^2}=-k-y-r\\\\-\dfrac{m}{k+r+y}=u^2\\\\ \boxed{u=\pm\sqrt{-\dfrac{m}{k+r+y}}}[/tex]
Answer: +/- sqrt(m/-k-y-r)
Step-by-step explanation:
Jada had read 2/3 of a book . She has read 60 pages so far . How many pages are in the whole book?
The. Ordered pair?
Is this a function yes or no?
The ordered pairs (8,12). (16, 24), (x, 21), (26, y) represent a proportional relationship
Find the value of x and the value of y.
Select the two correct answers.
A y=56
B. x= 14
C. x=7
D. y=39
Ex= 9
F. y = 42
Answer: B. x= 14
D. y=39
Step-by-step explanation:
First and foremost, we need to calculate the constant of proportionality. This will be:
(8,12).
y = kx.
12 = 8k
k = 12/8
k = 1.5
(16, 24),
y = kx
24 = 16k
k = 24/16
k = 1.5
(x, 21),
y = kx
x = y/k
x = 21/1.5
x = 14
(26, y)
y = kx
y = 26 × 1.5
y = 39
Jamal wants to install a rectangular 2025 cm² window in his garden shed. That area of window comes in several length/width combinations, and he wants to minimize the perimeter to prevent drafts. What is the least perimeter possible for the window?
Answer:
The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.
Step-by-step explanation:
The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.
The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero. Let's do it:
So first the area:
2025 = wl
l = 2025 / w
Now the sides:
[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]
Then we can take its derivative with respect to w
[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]
Now we can set the derivative to zero, and solve for w:
[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]
So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.
can someone please help me?
What hazard is present in this image?
Select the best option.
A mat that has upturned edges
Hair clippings on the floor
Tool cord left out
Spills on floor
Answer:
spills on the floor
Step-by-step explanation:
there is liquid of some sort someone could slip and hurt themselves. hope this helps
please help me or dont
Answer:
pentegan easy
Step-by-step explanation:
Graph y-4=2x and identify
the slope and y-intercept.
Answer:
slope is 2 and y-intercept is (0, 4)
Step-by-step explanation:
Answer:
s- 2 y int- 4
Step-by-step explanation:
In a certain year, the average e-mail user sent or received 111 e-mails each day. The number of e-mails received was 3 more than twice the number
sent. How many were sent and how many were received each day?
Answer:
Number of sent mail = 36
Number of received mail = 75
Step-by-step explanation:
Let,
x be the number of mails sent
y be the number of mails received
According to given statement;
x + y = 111 Eqn 1
y = 2x + 3 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
x + 2x + 3 = 111
3x = 111 - 3
3x = 108
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{108}{3}\\x = 36[/tex]
Putting x = 36 in Eqn 2
y = 2(36) + 3
y = 72 + 3 = 75
Hence,
Number of sent mail = 36
Number of received mail = 75
I need to write an equation for the triangle and solve for x
what is the slope of the form of (1,2) m= -2
Answer:
m = -2
Step-by-step explanation:
slope is m in y = mx + b
You already said what m is
Number seven plz helppp
Answer:
1,296
Step-by-step explanation:
I multiplied 6 four times.
Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and bare
the
legs. Round your answers to the nearest tenth if necessary.
a = 8.8 ft, b = 9 ft
Answer: 12.6 ft
Step-by-step explanation:
a = 8.8 ft
b = 9 ft
c = ?
Since it is a right triangle, we can use the Pythagorean Theorem to solve for missing side c, the hypotenuse.
a^2 + b^2 = c^2
(8.8)^2 + (9)^2 = c^2
158.44 = c^2
(158.44)^(1/2) = c
12.5873 = c
c = 12.6 ft (rounded to the nearest tenth)
please solve for b
a=b/c
Answer:
b = ac
Step-by-step explanation:
Solve for b by simplifying both sides of the equation, then isolating the variable.
Answer:
b= ac
Solve for b by simplifying both sides of the equation, then isolating the variable.
what is the product of 2 4/7 × 13/12
Answer:
2 11/14
Step-by-step explanation:
First make both of them improper fractions.
therefore,
2 4/7 = 18/7
now simplify.
18/7 × 13/12
18 and 12 get cancelled off as they're multiples of 3 and 6
therefore,
3/7 × 13/2
3× 13 = 39
7×2 = 14
39/14
now make it a proper fraction
2 11/14//
If GEOM is a square, find m2GQE.
Answer:
90 is correct answer of it question
The first term of the sequence is -9 and the common ratio is -2
Answer:
[tex]2nd \: term = - 9 + ( - 2) \\ = - 11 \\ 3rd \: term = - 11 +( - 2) \\ = - 13 \\ 4th \: term = - 13 + ( - 2) \\ = - 15 \\ \\ ..........[/tex]
What is the measure of angle P?
Answer:
60
Step-by-step explanation:
step 1: 180°-130°= 50
step 2: 180-110= 70
step 3: 70+50= 120
step 4: 180°-120°= 60
Classify 5x5 - 5x3 + 2x2 by degree.
Answer:
295 is the answer... god bless
Answer25
Step-by-step explanation:
