Answer:
s = 1,811 square foot
Step-by-step explanation:
Here, we want to calculate the area of the roof.
The best way to proceed here is by substitution.
We simply substitute the length and the price into the bid price equation to get the area of the roof.
From the original equation, the formula to use is ;
P = 1.85s + 4.2f
now from what we are given; s = ?
f = 190 feet and P = $4148
substituting these values, we have;
4148 = 1.85s + 4.2(190)
4148 = 1.85s + 798
1.85s = 4148 -798
1.85s = 3350
s = 3350/1.85
s = 1,810.810810810811
To the nearest square foot, s = 1,811
Which cannot be the angle measurements of triangle ABC? Measure of angle A = 55 degrees, measure of angle B = 65 degrees, measure of angle C = 60 degrees Measure of angle A = 60 degrees, measure of angle B = 60 degrees, measure of angle C = 60 degrees Measure of angle A = 57 degrees, measure of angle B = 58 degrees, measure of angle C = 65 degrees Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees
The last set should not be the angle of the measurements of triangle ABC i.e. Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees
Calculation of the angle measurements:If we add the three sides of triangle so its total should be 180 degrees
So
= 55 + 65 + 60
= 180
Now
= 60 + 60 + 60
= 180
Now
= 57 + 58 + 65
= 180
And,
= 61 + 57 + 61
= 181
Therefore, The last set should not be the angle of the measurements of triangle ABC i.e. Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees
Learn more about triangle here: https://brainly.com/question/11508323
Answer: its A
Step-by-step explanation:
A car accelerates uniformly from 36 km/h to 72 km/h in 2 seconds. Calculate :a.The acceleration of the car b.The distance covered by the car in that time.
Answer:
(a) The acceleration of the car is 5 m/s²
(b) The distance covered by the car in that time is 30 m
Step-by-step explanation:
Given;
initial velocity of the car, u = 36 km/h = 10 m/s
final velocity of the car, v = 72 km/h = 20 m/s
time for the motion, t = 2 seconds
(a) .The acceleration of the car;
v = u + at
[tex]a = \frac{v-u}{t} \\\\a = \frac{20-10}{2}\\\\a = 5 \ m/s^2[/tex]
(b) The distance covered by the car in that time
[tex]s = (\frac{v+u}{2} )t\\\\s = (\frac{20+10}{2} )*2\\\\s = 30 \ m[/tex]
Problem: \ The yellow portion of a circle represents 35%: How many degrees are in the angle formed by the edges of the yellow region?
Answer:
126°
Step-by-step explanation:
Given that the yellow portion covers 35% of the circle, the degree formed by its edges can be calculated as follows:
The degree of a full circle = 360°
To find the degree formed by the edges of the yellow region, we would calculate 35% of 360°:
[tex] \frac{35}{100}*360 [/tex]
[tex] \frac{35*360}{100} [/tex]
[tex] \frac{12600}{100} [/tex]
[tex] \frac{126}{1} [/tex]
[tex] 126 [/tex]
126° is formed by the edges of the yellow region.
Nadine sold two kinds of tickets to her class play. Student tickets cost $3 each, and adult tickets cost $5.50 each. If Nadine sold a total of 25 tickets for $90, how many student tickets did she sell?
Answer:
19 tickets
Step-by-step explanation:
Nadine sold two kinds of tickets to her class play
The student tickets cost $3
Adult tickets cost $5.50
Nadine sold a total of 25 tickets for $90
We are required to find the number of students tickets that were sold
Let x represent the number of tickets sold to students
Let y represent the number of tickets sold to adults
x + y= 25
x= 25-y..........equation 1
Since the total cost of the ticket is $90
3x + 5.50y=90..........equation 2
Substitute 25-y for x in equation 2
3(25-y) + 5.50y= 90
75-3y+5.50y= 90
75+2.5y= 90
Collect the like terms
2.5y= 90-75
2.5y=15
Divide both sides by 2.5
2.5y/2.5=15/2.5
y= 6
Substitute 6 for y in equation 1
x= 25-y
x= 25-6
x= 19
Hence Nadine sold 19 student tickets
To steam rice, Paul uses m cups of water for every p
cups of rice. In terms of m and p, how many cups of
water are needed to steam p + 2 cups of rice?
Answer:
[tex]\frac{(p + 2)m}{p}[/tex]
Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
The question shows a direct proportion between cups of rice and cups of water.
So, the first step is to get the proportionality constant (k)
This is calculated using the following expression;
[tex]m = k * p[/tex]
Where k represents cups of water and p represents cups of rice
Make k the subject of formula
[tex]k = \frac{m}{p}[/tex]
Let x represents cups of water when cups of rice becomes p + 2;
k becomes:
[tex]k = \frac{x}{p + 2}[/tex]
Equate both expressions of k; to give
[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]
Multiply both sides by p + 2
[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]
[tex](p + 2) * \frac{m}{p} =x[/tex]
[tex]x = (p + 2) * \frac{m}{p}[/tex]
[tex]x = \frac{(p + 2)m}{p}[/tex]
Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
1st bacteria : 2nd bacteria
t^2-3t+4 ( 3rd option)
Step-by-step explanation:
can i get some help doing this plz
Answer:
The upper bound for the perimeter of the rectangle = 427.76 cm
Step-by-step explanation:
To obtain the upper bound for the perimeter, we need to first obtain the upper bound for the Length and Breadth of the rectangle.
Since, these dimensions were rounded to the nearest 1 decimal place, we can write down their ranges
Length = 127.3 cm
Width = 86.5 cm
Length can range from 127.25 cm to 127.34 cm
Breadth can range from 86.45 cm to 86.54 cm
The upper bound for the Length and Breadth of the rectangle are this 127.34 cm and 86.54 cm respectively.
Perimeter = 2 (L + B)
Upper bound of the perimeter
= 2 × (127.34 + 86.54)
= 2 × 213.88
= 427.76 cm
Hope this Helps!!!
What is 36 divided by 5. Include the remainder
Answer:
The answer is 7 remainder 1
Step-by-step explanation:
5 in 36 places then take the remainder.
Hope it helps.
A circle with radius of \greenD{2\,\text{cm}}2cmstart color #1fab54, 2, start text, c, m, end text, end color #1fab54 sits inside a \blueD{7\,\text{cm} \times 11\,\text{cm}}7cm×11cmstart color #11accd, 7, start text, c, m, end text, times, 11, start text, c, m, end text, end color #11accd rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth.
Answer:
64.43 cm^264.44 cm^2 using π = 3.14Step-by-step explanation:
The area of the 7 cm by 11 cm rectangle is ...
A = bh
A = (7 cm)(11 cm) = 77 cm^2
The area of the circle of radius 2 cm is ...
A = πr^2 = π(2 cm)^2 = 4π cm^2
If the shaded area lies between the circle and the rectangle, its area is the difference of these:
shaded area = 77 cm^2 -4π cm^2
Using π = 3.14, this area is ...
(77 -4·3.14) cm^2 = 64.44 cm^2
Using π = 3.141592, this area is ...
(77 -4·3.141592) cm^2 ≈ 64.43 cm^2
The shaded area is 64.43 cm^2, (64.44 if you use π=3.14).
_____
Comment on π
Often, you are required to use a specific valued for π, even if that is inappropriate for the number of significant digits required in the answer. In recognition of that, we have offered both the correct answer (64.43) and the one associated with the value of π you may be expected to use.
Answer:
64.43cm ^2
Step-by-step explanation:
First, calculate the area of the whole figure, including the unshaded area.
The area of a rectangle is the length times the width.
7cm x 11cm = 77c[tex]m^{2}[/tex]
Next, calculate the area of the inner figure.
The area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]\pi[/tex] x 2cm x 2cm = 4[tex]\pi[/tex] c[tex]m^{2}[/tex]
Finally, subtract the area of the inner circle from the area of the outer rectangle.
77 c[tex]m^{2}[/tex] - 4[tex]\pi[/tex] c[tex]m^{2}[/tex] ≈ 64.43 c[tex]m^{2}[/tex]
****WHO ANSWERS WILL BE MARK AS BRAINLIEST****
In circle D, which is a MINOR arc to the circle? *
In circle D, which is a MAJOR arc to the circle? *
AB
FD
EC
DE
Answer:
AB
Step-by-step explanation:
ez
Answer:
E to C is a minor arc a major arc in this case would be E to G or F to H
Step-by-step explanation:
x+x/7 + 1/11 (x + x/7) = 60
Answer:
X= 48.125
Step-by-step explanation:
Last year, I had 92 APES students and this year I will have 63 APES students. By what percentage will the population of APES students increase.
Answer:
31.52% increase (decrease)
Step-by-step explanation:
To find the decrease in the percentage of students from the previous year to the current year, you must establish a baseline to be your maximum (100%). For this we'll use the 92 students. From here, we need the current 63 students to establish the current percentage.
Simply:
63/92 == .6848 == 68.48%
So our current percentage of students is 68.48%. We want the decrease of the students compared to the previous percentage so we'll need to do the maximum minus the current to get the change (or the decrease).
100% - 68.48% = 31.52%
Thus, the population increase (decrease) for this year is 31.52%.
Answer:
68.47
Step-by-step explanation:
63/92
wats the domain and range of [1,3] , [-2,7] ,[ 3 ,-3 ], [4,5] , [1,-3]
Answer:
Domain={-2,1,3,4}Range={-3,3,5,7}Explanation:
Domain and Range:Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.
Hope this helps...
Good luck on your assignment..
What is the complete factorization of the polynomial below?
x^3 - 4x^2 + x-4
Answer:
B. (x-4)(x+i)(x-i)Step-by-step explanation:
x³-4x²+x-4=
=x²(x-4)+(x-4)
=(x-4)(x²+1)
=(x+4)(x-i²)
=(x-4)(x+i)(x-i)Answer:(x+1)(x-1)(x-4)
Step-by-step explanation:
If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x).
A. (f-g)(x) = 4^x +5x -2
B. (f-g)(x) = -4^x +5x +14
C. (f-g)(x) = 4^x -5x -14
D. (f-g)(x) = -x -14
Answer:
C. 4^x - 5x - 14.
Step-by-step explanation:
(f - g) x
= 4^x - 8 - (5x + 6)
= 4^x - 5x - 8 - 6
= 4^x - 5x - 14.
WILL MARK BRAINLIEST! Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, -8, and 2 + 5i A.) f(x) = x^4 - 6x^3 - 20x^2 + 122x - 928 B.) f(x) = x^4 - 19x^2 + 244x - 928 C.) f(x) = x^4 - 6x^3 + 20x^2 - 122x + 928 D.) f(x) = f(x) = x^4 - 61x^2 + 244x - 928
Answer:
B. f(x) = x^4 -19x^2 +244x -928
Step-by-step explanation:
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
4, -8, and 2 + 5i
A.) f(x) = x^4 - 6x^3 - 20x^2 + 122x - 928
B.) f(x) = x^4 - 19x^2 + 244x - 928
C.) f(x) = x^4 - 6x^3 + 20x^2 - 122x + 928
D.) f(x) = f(x) = x^4 - 61x^2 + 244x - 928
A polynomial function with real coefficients has complex roots in both conjugates, hence the minimum polynomial is of the 4th degree with roots
4, -8, 2 + 5i, 2 - 5i
A polynomial can be found by expanding the following factors:
P(x) = (x-4)(x+8)(x-2-5i)(x-2+5i)
= (x-4)(x+8)(x^2-4x+29)
= x^4 -19x^2 +244x -928
What is 45% as a fraction in simplest form
⇒Answer:
[tex]\frac{9}{20}[/tex]
⇒Step-by-step explanation:
Well 45% is saying it is 45% out of 100,
So we can make the following fraction
45/100
Then we simplify by dividing 45 and 100 by 5
Hence, the answer is [tex]\frac{9}{20}[/tex]
what expressions are equivalent to 4d+6+2d
Answer:
6d+6 is the correct answer
Step-by-step explanation:
PLEASE HELP ME WITH THESE QUESTIONS
Answer:
hope its wht u require....
Can someone help me with 1,2,3 I don’t know how to do this
Answer:
Step-by-step explanation:
1: 0.75
2: 0.166
3: 0.466
4: 0.66
Sorry if anyone of these are wrong
Answer:
3/4=0.75
1/6=0.16666667
7/15=0.46666667
13/20=0.65
Step-by-step explanation:
You can use the 'division house' to get the answer. The denominator is always out, and the numerator always inside.
Hope this helps ;) ❤❤❤
******BRAINLIEST IF ANSWERED****** Which equation can be used to find the measure of angle BAC? * inverse tan(5/12) inverse cos(5/13) inverse sin(12/5) inverse tan(12/13)
Answer:
[tex]cos^{-1}(\frac{5}{13} )[/tex]
Step-by-step explanation:
We can see that x is at ∠A.
To find x:
cosx° = 5/13
x = cos^-1(5/13)
sinx° = 12/13
x = sin^-1(12/13)
tanx° = 12/5
x = tan^-1(12/5)
Out of our answer choices, the only one that fits is the inverse cos(5/13).
Answer:
inverse cos 5/13
Step-by-step explanation:
i took the quiz
please answer this question now in two minutes
Answer:
lines KL and GH are skew
Step-by-step explanation:
they have no intersections nor are they parallel
rene is 6 years older than her younger sister after 10 years the sum of their ages will be 50 find their persent ages
Answer:
Rene = 18
Sister = 12
Step-by-step explanation:
Let
Rene's age be 6+x
Her sister's age be x
Given that:
6+x+10+x+10 = 50
To calculate their ages, we have to find out the value of x. To find the value of x, rearrange and solve the above equation:
6+x+10+x+10 = 50
26 + 2x = 50
2x = 50-26 = 24
x = 12
We said at the start that Rene's age was 6+x, so her age = 12+6 = 18
Rene's sister's age = x = 12
Hope this helps
Answer:
18 , 12
Step-by-step explanation:
R -Rene age
R-6= age of her sister
after 10 years Rene age=R+10
her sister age= R-6+10=R+4
so R+10+R+4=50
2R+14=50
-14 -14
2R=36
:2 :2
R=18 ( Rene age)
18-6=12 ( her sister age)
A farmer has 20 yards of fencing to build a pen for her chickens. She decides to use a side of her barn as one side of the fenced-in area. What is the maximum area she can achieve?
Answer:
The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.
Step-by-step explanation:
Given that farmer shall construct a rectangular fenced-in area and a side of the barn is one side of such area, the needed length of fencing is represent by the following perimeter equation ([tex]p[/tex]), measured in square yards:
[tex]p = 2\cdot l + w[/tex]
Where:
[tex]l[/tex] - Length of the rectangle, measured in yards.
[tex]w[/tex] - Width of the rectangule (side of the barn), measured in yards.
In addition, the equation of the fenced-in area ([tex]A[/tex]) is:
[tex]A = w\cdot l[/tex]
If [tex]p = 20\,yd[/tex], equation of area is now simplified as follows:
[tex]A = (20\,yd - 2\cdot l)\cdot l[/tex]
[tex]A = 20\cdot l - 2\cdot l^{2}[/tex]
The value of [tex]l[/tex] associated with the maximum area is obtained with the help of First and Second Derivative Tests. Firstly, first and second derivatives of the area function are determined:
[tex]A' = 20 - 4\cdot l[/tex]
[tex]A'' = -4[/tex]
Let equalize first equation to zero, second derivative indicates that critical value follows to an absolute maximum. Hence:
[tex]20-4\cdot l = 0[/tex]
[tex]l = 5\,yd[/tex]
The width of the rectangle is: ([tex]p = 20\,yd[/tex] and [tex]l = 5\,yd[/tex])
[tex]w = p - 2\cdot l[/tex]
[tex]w = 20\,yd - 2\cdot (5\,yd)[/tex]
[tex]w = 10\,yd[/tex]
And finally, the maximum area she can achieve is:
[tex]A = (5\,yd)\cdot (10\,yd)[/tex]
[tex]A = 50\,yd^{2}[/tex]
The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.
Zeros of polynomials (with factoring
We want to find the zeros of this polynomial:
p(x) = 2x3 + 5x2 – 2x – 5
Plot all the zeros (x-intercepts) of the polynomial in the interactive graph.
Answer:
x = -5/2 x=1 x = -1
Step-by-step explanation:
p(x) = 2x^3 + 5x^2 – 2x – 5
Use factor by grouping
p(x) = 2x^3 + 5x^2 – 2x – 5
Factor x^2 from the first group and -1 from the second group
x^2(2x +5) -1( 2x+5)
Then factor out 2x+5
p(x) = (2x+5) (x^2-1)
Factor x^2 -1 as the difference of squares
p(x) = (2x+5)(x-1)(x+1)
Set to zero to find the x intercepts
0 = (2x+5)(x-1)(x+1)
Using the zero product property
2x+5 =0 x-1 =0 x+1 =0
2x = -5 x=1 x=-1
x = -5/2 x=1 x = -1
Answer:
The zeroes are (-1,0), (1, 0) and (-5/2, 0)
Step-by-step explanation:
We can find the zeroes by factoring:
2x^3 + 5x^2 - 2x - 5 = 0
x^2(2x + 5) - 1(2x + 5) = 0
(x^2 - 1)(2x + 5) = 0
(x - 1)(x + 1)(2x + 5) = 0
So x = -1, 1, -5/2.
please help i was struggling
Answer:
slope is 2 y intercept 7
Step-by-step explanation:
The y intercept is the value when x =0
(0,7) means the y intercept is 7
We can find the slope using
m = (y2-y1)/(x2-x1)
m = ( 11-9)/(2-1)
= 2/1
= 2
A scale model of a bicycle has a scale of 1 : 10. The real bicycle has a length of 1.6 m. What is the length of the model in cm?
Answer:
16 cm
Step-by-step explanation:
1.6 m = 160 cm
Model length = 160 / 10 = 16 cm
Answer:
160 cm
Step-by-step explanation:
1 : 10
1.6 : x
Cross multiply.
1 × x = 10 × 1.6
x = 160
Which coordinate for points A' and B' would help prove that lines AB and A'B' are perpendicular?
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
it's b! now remember to breathe and relax a little. everything is going to be okay ♡
The formula for the perimeter of a rectangle is p=2L + 2W, where L is the length and W is the width of the rectangle. Which is the formula for the length?
Answer:
P - 2W
L = ------------
2
Step-by-step explanation:
You are being asked to solve P = 2L + 2W for the length, L.
Let's isolate 2L on the right side by subtracting 2W from both sides:
P - 2W = 2L
Dividing both sides by 2 isolates L:
P - 2W
L = ------------
2
Which of the following is the sum of the slopes of the line 3x+y=1 and a line perpendicular to this line? A 0 B 13 C −83 D −6
Answer:
-8/3
Step-by-step explanation:
First find the slope of the line
3x+y = 1
Solve for y
y = -3x+1
This is in slope intercept form
y = mx+b where m is the slope
The slope is -3
The slopes of perpendicular lines multiply to -1
m* -3 = -1
m = 1/3
The line perpendicular has a slope of 1 / (3) = 1/3
The sum is -3 + 1/3
-9/2 + 1/3 = -8/3