Answer:
1456ft²
Step-by-step explanation:
A = lw
A = 60(20)
A = 1200ft²
A = 16(16)
A = 256ft²
1200 + 256 =
1456ft²
What is the slope of the line represented by the following equation? 4x−y+3=0
The slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.
What is the slope of a line?The slope of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It describes the direction of the line.
The standard form of the equation of a line can be given as,
y=mx+c
Here, c is the y intercept of the line and m is the slope of the line.
The equation of the line is given as,
4x-y+3=0
Rewrite the equation in the standard form as,
4x-y+3=0
4x+3=y
y=4x+3
Compare it with standard equation we get,
m=4
c=3
Thus, the slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.
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Factor −4 out of −24a−44.
Answer:
6a+11
Step-by-step explanation:
-24a-44/-4
=
6a+11
have a wonderful day :))
Answer:
-4(6a + 11)
-Step-by-step explanation:
−24a − 44 if −4 is factored out than...
-4 times ____ = -24a
-4x = -24 → divided both sides by -4
-4x / -4 = -24 / -4 → x = 6
-4 times 6 = -24a
-4 times ____ = -44
-4x = -44 → divided both sides by -4
-4x / -4 = -44 / -4 → x = 11
-4 times 11 = -44
combine: -4 x 6a - 4 x 11
verify the identity
sin^3 0 +cos^3 0 / sin 0+ cos 0 = 1 - sin 0 cos 0
Answer:
See below for proof of identity.
Step-by-step explanation:
Since both terms of [tex]\sin^3\theta+\cos^3\theta[/tex] are perfect cubes, we can use the formula [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex] where [tex]a=\sin\theta[/tex] and [tex]b=\cos\theta[/tex]:
[tex]\displaystyle \frac{\sin^3\theta+\cos^3\theta}{\sin\theta+\cos\theta}\\\\\frac{(\sin\theta+\cos\theta)(\sin^2\theta-\sin\theta\cos\theta+\cos^2\theta)}{\sin\theta+\cos\theta}\\ \\\frac{(\sin\theta+\cos\theta)(1-\sin\theta\cos\theta)}{\sin\theta+\cos\theta}\\\\1-\sin\theta\cos\theta[/tex]
Thus, the identity is proven.
if you work 8 hours every two days, how many hours will he work in 7 days
Answer:
28 hours for 7 days
Step-by-step explanation:
8/2 =
4
4 hours for 1 day
1 x 7 =
7
7 x 4
28
28 for 7 days
Answer:
I would say the answer is 28
Step-by-step explanation:
In two days, you would work 8 hours. To make sense, in one day you would work 4 hours.
Mulitply 4*7
or
2 days: 8 hrs
4 days: 16 hrs
6 days: 24 hrs
7 days: 28hrs
Need help please answer ASAP!
Perimeter of larger sail
10+24+2660ftNow
Let shorter sail's Perimeter be x
x/6=60/10x/6=6x=36#2
Let they be 2x and 7x
2x+7x=1809x=180x=20Smaller angle
20(2)=40is 2.06532 rational or irrational?
Answer:
irrational
Step-by-step explanation:
irrational because it has decimals at the end.
Since we can write the given decimal number into fractional form therefore it is a rational number.
Use the concept of decimals defined as:
Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.
The given number is:
2.06532
The number 2.06532 is rational because it can be expressed as a fraction of two integers.
In this case,
It can be written as the fraction 206532/100000.
Hence,
The given number is a rational number.
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I am in dire need. helpp
During normal breathing, about 12% of the air in the
lungs is replaced after one breath. If the initial amount of
air in the lungs is 500 mL, how much of the original air is
present after 8 breaths?
The original air present after 8 breaths will be equal to 179.81 ml.
What is an equation?
The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
It is given in the question that:-
During normal breathing, about 12% of the air in the lungs is replaced after one breath
If the initial amount of air in the lungs is 500 mL
how much of the original air is present after 8 breaths?
The calculation for the eduction of the air will be done by the following equation:-
[tex]\rm =Volume \ present\times (0.88)^n\\\\\\= 500\times (0.88)^8[/tex]
=179.88 ml
Hence original air present after 8 breaths will be equal to 179.81 ml.
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Answer:
8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.Step-by-step explanation:
Question 1
Which is the largest value?
Answer:
the third option 6 squareroot of 5 would be the largest value
Step-by-step explanation:
3 squareroot of 7 is also 63 squareroot
5 squareroot of 3 is also 75 squareroot
6 squareroot of 5 is also 180 squareroot
2 squareroot of 8 is also 32 squareroot
please answer this for me
Answer:
600 + 161 = 761
Step-by-step explanation:
599 + 162 = 600 + 161 = 761
Find the value of 11 +22+33 + ... + 1100.
Answer:
sum of terms: 55550
Explanation:
[tex]\sf S_n = \dfrac{n}{2} (u_{start}+u_{end}})[/tex]
Here the number of terms:
1100 ÷ 11 = 100
Using the Formula:
[tex]\sf \dfrac{100}{2} (11+1100)[/tex]
[tex]\sf 55550[/tex]
the hypotenuse of a right triangle has endpoints (2,7) and (11,-5) what is the perumeter of the triangle?
Answer:
36 units
Step-by-step explanation:
Using the coordinates, you can find the length of each leg of the triangle.
Find the distance between the x-coordinates, 2 and 11 by subtracting.
11 - 2 = 9.
Find the distance between the y-coordinates, 7 and -5 by subtracting.
7 - (-5)
7 + 5 = 12
The two legs of the right triangle are 9 and 12.
Use the pythagorean theorom to find the hypotenuse.
[tex]a^{2} +b^{2} =c^{2} \\9^{2} +12x^{2} =c^{2} \\81 + 144 = c^{2} \\225 = c^{2} \\\sqrt{225}=\sqrt{c^{2} } \\c = 15[/tex]
The three sides of the triangle are 9, 12, and 15. To find the perimeter, add the sides together.
9 + 12 + 15 = 36
can somene answer this
Answer:
Use the pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
The length of one leg, a is 11, and the length of the hypotenuse, the longest side (or c) is 17. Substitute
[tex]11^2 + b^2 = 17^2 \\121 + b^2 = 289\\[/tex]
Subtract 121 from both sides to isolate B
[tex]b^2 + 121 - 121 = 289 - 121\\b^2 = 168[/tex]
Take the square root of both sides to isolate b
[tex]\sqrt{b^2} =\sqrt{168} \\b = 12.961[/tex]
A rectangle has a perimeter of 80 centimeter. its height is four times the length of its base. what is the lenght of its base?
Answer:
8 cm
Step-by-step explanation:
To find the length of the rectangle's base, form 2 equations using the given information.
Perimeter of rectangle= 2(height +base)
Let the lengths of the height and base of the rectangle be h and b cm respectively.
Perimeter= 80
2(h +b)= 80
h +b= 80 ÷2
h +b= 40 -----(1)
h= 4b -----(2)
Let's solve by substitution!
Substitute (2) into (1):
4b +b= 40
5b= 40
b= 40 ÷5
b= 8
Thus, the length of its base is 8 cm.
Calculate the value of p in the diagram below
Answer:
40.5
Step-by-step explanation:
(n-2)*180
(7-2)*180=5*180=900
10p+135+149+121+90=900
10p=-495+900=405
p=40.5
When Tekai purchased groceries, he paid
8.5% in sales tax, which amounted to $12.40.
What was full amount, including tax, that
Tekai paid for the groceries?
Answer:
I think the full amount was $a18.50
Which function has an asymptote at x = 5 and an x-intercept of (6,0)? a. f(x) = log(x − 5) b. f(x) = log(x 5) c. f(x) = log x − 5 d. f(x) = log x 5
The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes
The y-intercept is the coordinate point where x = 0. For the log function;
f(x) = log(x - 5)
If y = 0
0 = log(x-5)
x - 5 = 10^0
x - 5 = 1
x = 6
Hence the x-intercept is at (6, 0)
The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes
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These two cylinders are congruent. cylinder a has a radius of 4 centimeters. cylinder b has a volume of 176π cubic centimeters. what is the height of cylinder b? h = cm
Answer:
Your answer is 11CM
Step-by-step explanation:
The height of cylinder b is 11 cm.
How to measure the volume of a cylinder?The volume of the cylinder is related to the capacity of this geometric figure. Remember that the cylinder or circular cylinder is an elongated and rounded geometric solid.
The formula for the volume of a cylinder is given by:
[tex]V = \pi.r^2.h[/tex]
Where:
V: volumeπ (Pi): 3r: radiush: heightIn this case, as the cylinders are congruent, both will have the same radius, thus:
[tex]V = \pi.r^2.h\\176\pi=\pi(4)^2(h)\\h=11[/tex]
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How do you find the quadratics
Answer:
Put all terms to the side of the equals side, and make sure there are none on the other side. That would be unbalanced if there were terms on the opposite side.
Factor out the problem.
Set each factor of the problem equal to zero.
Solve each new equation.
Check to see if it makes sense by putting your new equation into the original equation.
1. Which of the following statements is correct? a) The additive inverse of number 0 does not exist. b) The additive inverse of number 1 does not exist. c) The multiplicative inverse of number 0 does not exist. inverse of number 1 does not d) The multiplicative exist.
Answer:
c
Step-by-step explanation:
The multiplicative inverse of number 0 does not exist.
When taking the multiplicative inverse of 0, we get :
[tex]\frac{1}{0}[/tex]This is not defined, as there are no set limits in the denominatorHence, the multiplicative inverse of 0 does not existRon made 16 out of 25 baskets from the foul line. Using this data, predict the
number of baskets he will make from the foul line if he shoots 200 times?
A 64
r B. 72
C. 92
D. 128
Answer:
D. 128
Step-by-step explanation:
16 out of 25 is a 64% ratio.
Easy way to get that is there is 4 25s in 100. So do 16x4 and that's 64.
Now there is 2 100s in 200. We want out of 100 so we half it. 64 and 100.
Knowing this the answer is D. 128.
Hope this helps. Brainliest would be appreciated.
Answer:
D. 128
Step-by-step explanation:
[tex]\frac{16}{25} =\frac{x}{200}[/tex]
cross multiply:
[tex]25x = 3200[/tex]
divide both sides by 25:
x = 128
In how many ways can 7 people be seated in a row of chairs if two of the people, Wilma and Paul, refuse to sit next to each other
Answer:
let X be the number of ways they can be seated without condition,
let M the the number of ways they can be seated if the two people must sit together,
let N be the number of ways they can be seated if the two must not sit together.
X=7! =5040
M= 6!× 2!=1440
M+N=X
then N=X–M=5040–1440=3600ways
What is Surface area for 5ft, 16ft, and 8ft
The surface area of the given rectangular prism is:
S = 496 square feet.
How to find the surface area?
For a rectangular prism of length L, width W, and height H is:
S = 2*(L*W + W*H + L*H).
In this particular case, we have:
L = 5ftW = 16ftH = 8ft.If we replace that in the surface area equation, we will get:
[tex]S = 2*(5ft*16ft + 5ft*8ft + 16ft*8ft) = 496 ft^2[/tex]
The surface area of the rectangular prism is 496 square feet.
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It took Shane 2 hours to drive 120 miles. If she continues at this rate, how far will she travel in 4 hours and 30 minutes?
Answer:
270 miles
Step-by-step explanation:
If she drove 120 miles in 2 hours, that means she drives at 60 miles per hour. 4 hours and 30 minutes can be seen as 4.5, since 30 minutes is half an hour. So then you multiply 60 by 4.5 and get 270.
A 2.905x10 B 2.905x10 C 2.95x10
Answer:
a. 29.05 b. 29.05 c. 29.5
In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision. (2,-1), (3,0.5), (6,1.5), (9,2)
Pease help :((
The solution to the question is arrived at using the knowledge of mathematical models.
What is a mathematical model?A mathematical model is a linguistic and mathematical concepts-based description of a system.
The appropriate model for the given data is:
Because there are discrepancies and no direct equation that can complete all of these points, a Least Square Regression Line is the best option for resolving this problem.
They could be outliers, so we need use a calculator to create a regression line to find the residual value.
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(a+4)²-11(a+4)- 42 factorize
[tex](a+4)^2 -11(a+4) -42\\\\=x^2 -11x -42~~~~~~~~~~~~~~~~~~~~~~~~;[a+4 = x]\\\\=x^2 -14x +3x -42\\\\=x(x-14) +3(x-14)\\\\=(x+3)(x-14)\\\\=(a+4+3)(a+4-14)~~~~~~~~~~~~;[\text{Substitute back}~ a+4 =x]\\\\=(a+7)(a-10)[/tex]
Answer:
(a - 10) (a + 7)
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀□ Question(a + 4)² - 11(a + 4) - 42
Fractorize
⠀
⠀
⠀⠀⠀⠀■ Solution⠀
⠀
Let (a + 4) = xSo the equation will be
⠀
[tex] \sf \large {x}^{2} - 11x - 42[/tex]
⠀
⠀
Using spitting the middle term method.⠀
[tex] \sf {x}^{2} - 14x + 3x - 42[/tex]
⠀
⠀
Taking common⠀
[tex] \sf x(x - 14) + 3(x - 14)[/tex]
⠀
[tex] \sf (x - 14)(x + 3)[/tex]
⠀
⠀
Putting value of 'x'⠀
[tex] \sf (a + 4 - 14)(a + 4 + 3) \\ \\ \boxed{ \frak{(a - 10)(a + 7)} } [/tex]
⠀
A guest was on holiday before going to the wedding at 6 o’ clock. He had to travel 120km to get to the venue. He travelled at an average of 100km/h . Verify if He will reach the dance on time if he leaves at 16:40
He will reach the dance before time if he leaves at 16:40.
What is speed- distance formula?The formula for speed is speed = distance ÷ time.
To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Given distance= 120 Km, speed= 100 km/h
For this speed,
time= distance/ speed
= 120/100
= 1.2 hours
If the guest leave at 4:40 p.m. then by the speed of 100 km/h he will reach the venue at 06:00 p.m.
Hence, he will reach before the time at wedding.
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HELP!!
Find the lateral area of the pyramid to the nearest whole number
85 m2
77 m2
47 m2
51 m2
literally ur the best human if u answer this :)
Answer:
The area of the pyramid is 51 m²
Answer:
The answer is 51m
Step-by-step explanation:
Can someone please answer this, ill give you brainliest Would be very appreciated.
[tex]\bf Blue \ Color \ Line : y = x^2[/tex]
If you are going to make it open from downwards. The function should be negative : -(x)²If the graph moves 10 units downwards. : y = (x)² - 10If you are going to move the graph horizontally 2 units left. : y = (x+ 2)²When added all together:
[tex]\bf Black \ color \ Line: y=-\left(x+2\right)^{2}-10[/tex] = Final answer.
