Answer:
The area is 3.9375 cubic ft, so yes, the area will greater than 3 and 1/2 ft.
Hope this helps:)
Step-by-step explanation:
Length of a rectangular sign :-
[tex] = 3 \frac{1}{2} \: \: m[/tex]
Width of a rectangular sign :-
[tex] = 1 \frac{1}{8} \: \: m[/tex]
We know that :-The formula for finding the area of a rectangle is :-
[tex] =\bold{ length \times breadth}[/tex]
Which means :-The area of the rectangular sign:-
[tex] =3 \frac{1}{2} \times 1 \frac{1}{8} [/tex]
[tex] = \frac{(2 \times 3 )+ 1}{2} \times \frac{(8 \times 1) + 1}{8} [/tex]
[tex] = \frac{6 + 1}{2} \times \frac{8 + 1}{8} [/tex]
[tex] = \frac{7}{2} \times \frac{9}{8} [/tex]
[tex] = \frac{7 \times 9}{2 \times 8} [/tex]
[tex] = \frac{63}{16} [/tex]
[tex] ={3 \frac{15}{6} \: \: }[/tex]
[tex] = 3 \frac{15 \div 3}{6 \div 3} [/tex]
[tex] ={ 3 \frac{5}{2} \: m}[/tex]
Thus, the area of the rectangular sign is:-
[tex] =\bold{ 3 \frac{5}{2} \: m}[/tex]
We can see that :-[tex]\bold{3 \frac{5}{2} \: > 3 \: \frac{1}{2} \: }[/tex]
Which will mean that the area of the rectangular sign is greater than [tex] { 3 \frac{1}{2} \: m}[/tex].
Therefore, the area of the rectangular sign is = [tex] \bold{ 3 \frac{5}{2} \: m}[/tex] and it is greater than [tex] \bold{ 3 \frac{1}{2} \: m}[/tex] .
Given the similar figures below, find the value of x. For your answer, ONLY TYPE IN THE NUMBER. show work
Answer:
[tex] x = 17.5 [/tex]
Step-by-step explanation:
Since the two triangles are similar, their corresponding side lengths would be proportional. Therefore:
[tex] \frac{28}{16} = \frac{x}{10} [/tex]
Cross multiply
[tex] x*16 = 10*28 [/tex]
[tex] 16x = 280 [/tex]
Divide both sides by 16
[tex] x = \frac{280}{16} [/tex]
[tex] x = 17.5 [/tex]
Encuentra la forma de la ecuacion de la recta que pasa por el punto P(-1,5) y que es perpendicular a la recta 2x + 3y - 8= 0
Responder:
2y-3x = 12
Explicación paso a paso:
La forma estándar de ecuación de una línea se expresa como;
y = mx + c
m es la pendiente
c es la intersección
Primero necesitamos la pendiente de la ecuación conocida;
Dada la ecuación 2x + 3y - 8 = 0
Vuelva a escribir en forma estándar;
2x + 3y = 8
3y = -2x + 8
y = -2x / 3 + 8/3
Por lo tanto, la pendiente de la línea dada es -2/3
Dado que la línea desconocida es perpendicular a la línea dada, el producto de sus pendientes será -1;
mM = -1
M = -1 (-2/3)
M = 3/2
La pendiente de la línea desconocida es 3/2
Obtener la intersección:
Sustituya m = 3/2 y el punto (-1, 5) en la expresión y = mx + cy obtenga c como se muestra;
5 = 3/2 (-1) + c
5 = -3/2 + c
c = 5 + 3/2
c = (10 + 3) / 2
c = 13/2
Obtenga la ecuación requerida;
Dado que y = mx + c
y = 3x / 2 + 13/2
multiplicar por 2;
2y = 3x + 12
2y-3x = 12
De ahí que la forma de la ecuación de la recta que pasa por el punto P (-1,5) y que es perpendicular a la recta 2x + 3y - 8 = 0 es 2y-3x = 12
Answer:
The answer is A, C, E
Step-by-step explanation:
I took the test
Write a linear equation for each table relating X and Y
Answer:
a. y = 2 + 2x
b. y = 20 - 4x
c. y = 2 + 1.5x
d. y = 20 - 3x
Step-by-step explanation:
I Hope That This Helps! :)
Help me please ASAP will mark brainliest!!
Hey you’ve got it right on ur screen.
HURRY I HAVE TO DO MY TEST?!?!?!?!?Evelyn wants to enlarge a photo that measures 3 inches by 5 inches. A photo measures 3 inches by 5 inches. A larger photo measures x inches by 15 inches. What is the missing measurement, in inches, that Evelyn needs? 3 5 6
Answer:
the answer is 9
Step-by-step explanation:
Answer:
it is 9
Step-by-step explanation:
The Math Counts Club had a party at their school. There were 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and the same number of slices of pizza with nothing left over. How many students could have been at the party? LCM or GCF?
Answer:
gcf is 20 lcm is 40
Step-by-step explanation:
3 1/3 - 2 7/12 Please help me sorry
Answer:0.75
Step-by-step explanation:
Find the slope of the linear function.
Step-by-step explanation:
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. (or just count and plug it into rise over run format)
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
Help.please asap will mark brainliest!!!
What is the slope of the line that passes through the points shown in the table?
х
y
-1
-5
0
-3
1
-1
2
1
slope
Answer:
Where is the table???
Step-by-step explanation:
Show the full question
Find the vertex.
f(x) = 10x2 – 17
Answer:
(0,-17)
Step-by-step explanation:
Brandon opened a credit card at a department store with an APR of 14.99% compounded monthly. What is the APY on this credit card? A. 1.25% B. 29.98% C. 16.06% D. 19.55%
Answer:
real annual rate= 0.1606 = 16.06%
Step-by-step explanation:
Giving the following information:
APR= 14.99% = 0.1499
First, we will determine the nominal monthly rate:
Nominal monthly rate= 0.1499/12
Nominal monthly rate= 0.01249
Now, to calculate the real annual rate, we need to use the following formula:
real annual rate= [(1 + Nominal monthly rate)^n] - 1
real annual rate= [(1.01249^12) - 1]
real annual rate= 0.1606 = 16.06%
Which of the following equations is equivalent to 3(a + 4) – 5(a – 2) = 22?
8a + 2 = 22
-2a + 2 = 22
8a + 22 = 22
-2a + 22 = 22
Answer:
-2a + 22 =22
Step-by-step explanation:
3(a + 4) -5(a - 2) =22
3a + 12 - 5a + 10 =22
-2a + 22 =22
Answer:
-2a + 22 = 22
Step-by-step explanation:
in both a = 0
Derermine the intercepts of the line x-intercept(____,___)
Y-intercept(____,____)
Answer:
x intercept(3, 0) y intercept(0, -10)
Eighth grade
Find the slope of the line that passes through (8, 10) and (4, 1).
Answer:
9/4 this Is a fraction
Step-by-step explanation:
1 - 10 = -9
4 - 8 = -4
-9 and -4 turn positive
solve for x -1.5x - 3.1 < 5.5
Answer:
x>-17.2
Step-by-step explanation:
Simplify both sides of the inequality
-0.5x-3.1< 5.5
Add 3.1 to both sides
-0.5x< 8.6
Divided both sides by -0.5
x>-17.2
Hope this helped! :)
The range of both functions will be ?
A)the set of natural numbers
B)the set of integers
C)all real numbers
D)the set of whole numbers
E)the set of rational numbers
Answer:
it is b
bbbbbbb!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Belkis
On Sunday, a local hamburger shop sold a combined total of 432 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on Sunday?
hamburgers
$
?
Answer: 144 Hamburgers were sold on Sunday.
Step-by-step explanation:
Hamburgers: 432 ÷ 3 = 144
Chessburgers : 432 - 144 = 288
Write an equation in slope-intercept form for each table below.
Show how you found the slope and Y-intercept
Answer:
i. y=2x
ii. y=x+6
iii. y=-2x-6
iiii. y=-4x+3
iiiii. y=4x-3
Step-by-step explanation:
You can find the slope of the line by putting y2-y1/x2-x1
All you have to do is choose 2 points. Y2 is the second number y and x2 is the second number x. Y1 is the first number y and X1 is the first number X. To find y-intercept you look on the table and see where X is 0 and Y is any number that is the y-int. For example 5 there is no X=0 on the table so you put it in the point slope formula which is y-y1=m(x-x1) where you use the points from the slope. You multiply m to x and m to x1 where you will end up with y-y1=mx+mx1 then you add the y1 to mx1 where you will get the y intercept
No one answer this I just wanna say hiiii
Answer:
hi
Step-by-step explanation:
hi
A. Paul notices that the shape of the pond is shaped somewhat like a triangle. He claims that he can approximate the perimeter of the pond without doing any measurement of the actual pond or on the diagram. What assumption would Paul need to make in order to justify his claim? B. Based on the assumption in part A, determine the approximate length of side c of the pond. Explain your reasoning in at least two sentences. C. Determine the approximate perimeter of the pond. Explain your reasoning
9514 1404 393
Answer:
A) the curves are ellipses
B) 161 yards
C) 366 yards
Step-by-step explanation:
A) The general shape of the side marked c has the appearance of two quarter-ellipses. The major axis is approximately 125 yards, and the minor axis is approximately 80 yards. Paul could assume that the curves are quarter-ellipses.
__
B) For an ellipse with this eccentricity, its perimeter is within 2% of that of a circle with a diameter equal to the average of these dimensions.*
So, the approximate length of side c is ...
c ≈ π(80 +125)/4 ≈ 161 . . . . yards; length of side c
__
C) The perimeter of the pond is the sum of the side lengths, so will be ...
80 yds + 125 yds + 161 yds = 366 yds . . . pond perimeter
_____
* Indian mathematician Ramanujan developed an approximate formula for the circumference of an ellipse, which would otherwise need to be computed using an elliptic integral. it is ...
C = π(a+b)(1 + 3λ²/(10 +√(4 -3λ²))
where λ = (a -b)/(a +b) and a, b are the semi-axis lengths.
For this ellipse, λ = 9/41, so the last factor is about 1.01208313. Using this factor, the circumference is expected to be good to about 7 significant digits. Continuing the calculation, we find ...
C ≈ 325.904 . . . . circumference of an ellipse 125 yd long by 80 yd wide
This is twice the length we imagine for c, so c ≈ 163 yards. As we said, the approximation used above is within 2% of this value.
The attachment shows the shape if the curve is actually an ellipse.
Can someone help me
Answer: 3:8
Step-by-step explanation:
Answer:
it is 3:8
Step-by-step explanation:
they are raitos so if its 3 blue marbles to 8 red marbles it will be 3:8 if its opposite it will be 8:3 pretty simple but im here to help <3
Which fraction is greater 7 out of 11 or eight out of 11
Answer:
8 out of 11
Step-by-step explanation:
Select all of the situations which can be represented by the expression 25.75x + 10.
A. Carol has $25.75. She earns $10.00 for each car that she washes.
B. Max has $10.00. He earns $25.75 for every lawn that he mows.
C. Jin buys x postcards for $25.75 each and x keychains for $10.00 each.
D. Sasha sells a scarf for $10.00 and x jackets for $25.75 each.
E. Jon buys 10 toy cars for $25.75 each.
Answer: 1. no
2. yes
3. no
4. yes
Step-by-step explanation:
Which expressions have a value equal to or greater than 13?
A. five sixths x 13
B. 4 x 13
C. three fourths x 13
D. ten tenths x 13
please help will give brailyest
Answer:
The answers are B and D.
Step-by-step explanation:
Here's why .... 5/6 times 13 will give you Less than 13 and so will 3/4 times 13 But D is equal to 13 and B is more than 13 and the question asks for the value to be greater OR equal to.
Given △XPS≅△DNF, find the values of x and y.
Answer:
x = 3
y = 15
Step-by-step explanation:
If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:
XP ≅ DN
PS ≅ NF
XS ≅ DF
Given that:
XP = 4y - 3
DN = 57
NF = 51
XS = 17x + 3
DF = 54
Therefore:
XP = DN
4y - 3 = 57 (Substitution)
Add 3 to both sides
4y = 57 + 3
4y = 60
Divide both sides by 4
y = 60/4
y = 15
Also,
XS = DF
17x + 3 = 54 (substitution)
Subtract 3 from each side
17x = 54 - 3
17x = 51
Divide both sides by 17
x = 51/17
x = 3
A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?
Answer:
The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft
Step-by-step explanation:
we have the perimeter as 1000
So the sum of the lengths will be
1000/2 = 500
The dimensions that will maximize these pens will be such that they will have equal values
Mathematically, that will be 500/2 = 250 by 250
A summer camp wants to hire counselors aides to fill its staffing needs at minimum cost
Answer:
8 counselors and 12 aids
Step-by-step explanation:
minimum number of staff to run camp = 20
Ratio of counselors to aids to work together = 2:3
To get the multiply factor = 20 / (2 counselors + 3 aids) = 20 / 5 =4
minimum number of counselors needed = 4 x 2 = 8 counselors
minimum number of aids needed = 4 x 3 = 12 aids
6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answer:
hio
Step-by-step explanation:
hi
As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
Given that, the ancient Babylonians were writing fractions in 1800 BCE.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.
The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.
From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.
Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ2
If DEF is congruent to JKL, DE = 18, EF =23, DF = 9x-23, JL = 7x-11, and JK = 3y-21, find the values of x and y
Answer:
x = 6, y = 13Step-by-step explanation:
if DEF is congruent to JKL, this means that the sides of JKL are all equal to that of DEF.
Hence we can say;
DE = JK
EF = KL
DF = JL
Given
DE = 18,
EF =23,
DF = 9x-23,
JL = 7x-11
JK = 3y-21,
Required
Values of x and y
Since DE = JK;
18 = 3y-21
18+21 = 3y
39 = 3y
y = 39/3
y = 13
Also, DF = JL
9x-23 = 7x-11
collect like terms
9x - 7x = -11+23
2x = 12
x = 12/2
x = 6
Hence the value of x is 6 and y is 13
Given: [tex]DE=18[/tex],[tex]EF=23,DF=9x-23,JL=7x-11,[/tex] and[tex]JK=3y-21.[/tex]
As [tex]\Delta[/tex][tex]DE[/tex][tex]F[/tex] [tex]\cong[/tex] [tex]\Delta JKL[/tex]
[tex]\Rightarrow DE=JK \ ; EF=KL \ and \ DF=JL[/tex]
[tex]\Rightarrow 18=3y-21 \ ; 23=KL \ and \ 9x-23=7x-11[/tex]
[tex]y=13[/tex] ; [tex]KL=23[/tex] and [tex]x=6[/tex]
Therefore, [tex]x=6[/tex] and [tex]y=13[/tex]