Answer:
9 in × 5 in
Step-by-step explanation:
the area of a rectangle :
length × width
and this is 45 in² in our case.
the perimeter of a rectangle is
2×length + 2×width
and this is 28 in in our case.
l×w = 45
l = 45/w
2×l + 2×w = 2×(45/w) + 2w = 28
45/w + w = 14
45 + w² = 14w
w² - 14w + 45 = 0
the general solution to such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = w
a = 1
b = -14
c = 45
w = (14 ± sqrt((-14)² - 4×1×45))/(2×1) r
= (14 ± sqrt(196 - 180))/2 = (14 ± sqrt(16))/2 =
= (14 ± 4)/2 = 7 ± 2
w1 = 7 + 2 = 9 in
w2 = 7 - 2 = 5 in
l1 = 45/w1 = 45/9 = 5 in
l2 = 45/w2 = 45/5 = 9 in.
so, we see, length and width are interchangeable. it is only important to make one 9 in and the other 5 in.
a certain number is added to 6 and then divided by 10. The result is 3. Find the number
Answer:
let the number be x.
(x+6)/10 = 3
x+6 = 30
x =24
“Use distributive property to rewrite each expression.”
3(a + 10)
Answer:
The answer is
3a+30
Step-by-step explanation:
I hope this helped
Which object would weigh closest to 1 ton? A.Car B.Toothbrush C.Notebook D.Dog
Which expressions are equivalent to In e?
Answer:
1
log 10
Step-by-step explanation:
In e = 1
In e = log 10
Hope it helps you in your learning process.
Use the GCF to factor 9x+54
9(x+6)
Solution:The GCF stands for Greatest Common Factor.We need to factor out the GCF of this binomial (expression with two terms)In order to factor out the GCF, we need to divide both terms by the GCF and place it outside the parentheses, like so:9x+549x÷9=x54÷9=6x+69(x+6)Hope it helps.
Do comment if you have any query.
find a, b, and c please and thank u
An airplane flies with a constant speed
of 680 miles per hour. How long will it
take to travel a distance of 2720 miles?
4 hours
T= d/s
= 2720/680
= 4
Hope this helps!
The table is shaped like a trapezoid. The sum of the lengths of both bases is 90 inches. The area is
1,170 square inches. Write an equation to find the height of the table.
HELPP
Answer:
Step-by-step explanation:
Formula (Normal Area Trapezoid)
A = (b1 + b2 ) * h / 2
Formula (Trapezoid Modified for the question)
b1 + b2 is given as 90
Area = 90*h / 2
Givens
b1 + b2 = 90
Area = 1170
h = ?
Solution
Area = 90 * h / 2 Substitute the givens into the formula
1170 = 90 * h/ 2 Divide by 2 on the right.
1170 = 45 * h Divide both sides by 45
1170 / 45 = 45 * h/45
Answer: h = 45 inches.
look at attachment hurry
Answer:
the top one on the right
Step-by-step explanation:
i used desmos graphing calculator
Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p? StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative StartFraction 37 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative StartFraction 37 over 40 EndFraction.
Answer:
The answer is C
Step-by-step explanation:
Find the circumference of each circle. Use 3.14 or 22/7 for π. Round to the nearest tenth if necessary.
I'm going to keep asking because I have no clue how to solve these
Answer:
219.8 yd
Step-by-step explanation:
Circumference Formula= πd or 2πr
Plug in the values. The diameter of this circle is 70 yds.
70(3.14) (replace 3.14 for π)
70*3.14=219.8 yds
Hope this helps ^^
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
A textbook store sold a combined total of 255 sociology and physiology textbooks in a week. The number of sociology textbooks sold was two times the number of physiology textbooks sold. How many textbooks of each type were sold?
Answer:
75 physiology Textbook was sold and 150 sociology textbook was sold
Step-by-step explanation:
Let x represent textbook
2x + x = 225
⇒3x = 225
⇒[tex] \sf \frac{\sout{3}x}{\sout{3}} = \frac{225}{3}[/tex]
⇒x = 75
75 textbooks for physiology
To find How many textbook for sociology
Multiply 2 by the amount of physiology
⇒2 × 75
⇒150 sociology textbook
A line parallel to the graph of (y − 4) = m(x − 7) passes through (−1,−2) and (m, 10). If
m > 0, what is the value of m?
Answer:
Step-by-step explanation:
Givens
These are the givens for the second line. The second line also has m (same value) as the x coordinate of one of the points. I'm not sure why you are given the first line.
x1 = - 1
x2 = m
y1 = - 2
y2 = 10
Second line formula for m
m = (y2 - y1) / (x2 - x1) Substitute values for this equation
Solution
Note that the m you seek is both the slope of the second line, and the x coordinate of one of the points.
m = (10 - - 2) / (m - - 1) Change the double minus, and combine
m = 12 / (m + 1) Multiply both sides by (m + 1)
m(m+1) = 12 Remove the brackets
m^2 + m = 12 Subtract 12 from both sides.
m^2 + m - 12 = 0 Factor
(m + 4)(m - 3) = 0
We are told that m >0
So m- 3 = 0
m = 3
Answer
The value for m = 3. The first line also has a slope of 3
"All rational functions have asymptotes and points of discontinuity." Katlyn wants to put this statement in her math book. Is this statement true? Explain, for her benefit, using 2 examples
Answer:
Not true.
Step-by-step explanation:
A rational function is like P(x) / Q(x) where P and Q are polynomials.
Examples would be x^2 / (x^2 - 2) and x^2 / (x^2 + 2).
Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.
The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this is all real numbers , and no asymptotes.
A 48-fluid-ounces container of orange juice costs $.2.40.A 60-fluid -ounces container of orange juice costs $3.60.Which is the better coast
Answer:
48/2.40 = 60/360
Step-by-step explanation:
do a proportion chart
Write a second equation for the system so it has infinitely many solutions.
Write a second equation whose graph goes through (0,2) so that the system has no solutions.
Write a second equation whose graph goes through (2,2) so that the system has one solution at (4,3).
Answer:
See below ↓
Step-by-step explanation:
Our equation :
y = 3/2x - 3(A) Infinitely Many Solutions
y = 3/2x - 3The slope and y-intercept have to be equal in order for it to have infinitely many solutions(B) No solution
y = 3/2x + 1The slope has to be equal and the y-intercept has to be different in order for it to have no solution(C) One solution at (4, 3)
x has to equal 4y = 3/2x - 3 and y = 2x - 1In both of these equations, (4, 3) is a solution3. Write 6x - 2y = 0 in slope-intercept form, if possible.
Answer:
y=3x
Step-by-step explanation:
Answer:
y = 3x
Step-by-step explanation:
subtract 6x to the other side
divide by -2
there is no y-intercept because it's 0
how do i find the vertex of y= -4x^2-16x+1 ?
Answer:
(-2, 17)
Step-by-step explanation:
the first step you can do to find the vertex is to find the axis of symmetry
the equation for that is -b/2a
-(16) / 2(-4)
-16 / 8 = -2
the axis of symmetry is x =-2 so you plug in -2 to the equation
-4(-2)^2 - 16(-2) + 1
-4(4) + 32 + 1
-16 + 33
17
the vertex is (-2, 17)
one side of a triangle is 8 inches long and another side is 4 inches long. The third side is opposite an obtuse angke. What is a possible length of the third side? Explain
Answer:
it should be over 8 inches long
Step-by-step explanation:
by the instructions
a side of a triangle is 8 inches and other one is 4 inches
and the OPPOSITE of OBTUSE angle is the 3 Rd one
As the Third side which connect the 1st and 2nd side ( of the obtuse angle) it should be over 8 inches.
PLEASE HELP!! 50 POINTS!!
Part A
[tex]\sf{ change \ of \ base \sf \ : \ \ \ \log _{b} a=\dfrac{\log _{d} a}{\log _{d} b}}[/tex]
Part B
Some common choices for base:
2310Part C
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{\log _{3} 3}{\log _{3} 2}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.631}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.630929}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=1.584962501[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3 = 1.58[/tex]
1.58 is the value when rounded to nearest hundredth.
Please help me with this!
What is the distance between ( − 2 , − 4 ) and ( 5 , 7 ) ? Use the distance formula, d = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 .
4.24
6.32
10.25
13.03
Answer:
13.03
Step-by-step explanation:
Suppose ( x₁ , y₁ ) = ( − 2 , − 4 ) and (x₂ , y₂ ) = (5 , 7)
In the formula : d = √ [( x₂− x₁ )² + ( y₂ − y₁ )²]
Just replace x₁ by -2
replace y₁ by -4
replace x₂ by 5
replace y₂ by 7
We get ,
d = √ [( 5− (-2) )² + ( 7 − (-4) )²]
Then
d = √ [(7 )² + ( 11 )²]
d = √ [49 + 121]
d = √ [170]
≈ 13.03
help!!!!!!! hurry and help me pls!
Answer:
(2, 4)
Step-by-step explanation:
A reflection across the y-axis, will simply change the sign of your x-coordinate to positive rather than negative, this gives you a new point (2,4).
a. translation; four units right and six units down
b. translation; four units left and six units down
c. rotation; 90 degrees
d. reflection; across y=-4
Answer:
b. translation; four units left and six units down
Evaluate 49x - 2 when x = 1
Answer:
49(1) - 2 =
49x1=49
49 - 2 = 47 is your answer
Answer:
47
__________________________________________________________
SolveIf the variable, x has an assigned value, you must multiply the number behind x by the assigned value.
[tex]49 * 1 = 49[/tex]
Lastly, subtract by 2
[tex]49 - 2 = 47[/tex]
________________________________________________________
Questions?Ask me in the comments box.
Please help me with this problem I’m very confused and cannot figure it out
What is the scale factor of this dilation?
Answer:
I am not sure but I thing it is -2.
Step-by-step explanation:
Hope it helps! (Please mark brainliest if it does!)
1.6667
Step-by-step explanation:
the lengths are the same on both sides which makes the triangles equilateral
therefore the scale=5/3
=1.6667
What percent of the utterances in the sample need to be 1 word in length in order to use Nelson's or Bloom's One-Word Utterance Analyses
The percent of the utterances in the sample need to be 1 word in length is 13.3%.
How to calculate the percentage?Your information is incomplete. Therefore, an overview will be given. Let's assume that the number if 1 word is 12 and the total number of words given is 90.
Therefore, the percentage will be:
= 1 word/Total words × 100
= 12/90 × 100.
= 13.3%
In conclusion, the percentage is 13.3%.
Learn more about percentages on:
https://brainly.com/question/24877689
Estimate the value of 96.8 x 9.74
Answer:
1000
Step-by-step explanation:
Let's round!
96.8 can be rounded to 100
9.74 can be rounded to 10
100*10=1000
Hope this helps!
The estimated value of the given product is 970. The given product is (96.8×9.74). This is obtained by using the rounding-off method.
What is estimation?Estimating means finding something close to the actual answer. In other words, it is approximating.Estimating decimal products involves many strategies.General strategy is rounding-off to the nearest value method.Estimating the given product:The given product is (96.8×9.74)
Here the first decimal number in the product is 96.8
Since the digit after the decimal point 8 is nearer to the value of 10, it is rounded to 97. I.e., 96.8≅97
And the second decimal number is 9.74
Since the digit after the decimal 7is nearer to the value of 10, it is rounded to 10. I.e., 9.74≅10
So, the product is 97×10=970
Thus, 96.8×9.74≅970 (approx.)
Therefore, the estimated value is 970.
Learn more about estimation here:
https://brainly.com/question/3639595
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Einstein's theory of Relativity E=mc²
Answer:
Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2.
The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries.
×
E=mc2
In Einstein's first paper about energy and mass, E=mc2 doesn't actually appear anywhere—he originally wrote the formula as m=L/c2. What happened? Einstein was using "L" (for Lagrangian, a general form of energy) instead of "E" for energy. Later, he replaced "L" with "E," rearranged the variables, and the famous form of the equation emerged.
The implications of E=mc2 are profound. For centuries, scientists had considered energy and mass to be completely distinct and unrelated to each other. Einstein showed that in fact, energy and mass are different forms of the same thing. Einstein himself was surprised by the finding, calling it "amusing and enticing" and wondered "whether the Lord is laughing at it and has played a trick on me."