Answer:
16 minutes
Step-by-step explanation:
First we are going to want to find the area of the window. We then divide that by the amount of area you can wash per minute ( 6 square feet )
So first lets find the area.
We are told that the window is in a shape of a trapezoid.
The area of a trapezoid can be calculated using the formula A = [tex]\frac{a+b}{2} h[/tex]
Where a and b are the base lengths and h is the height
We are told that the length of the bases are 10 ft and 14ft so a and b = 10 and 14. We are also told that the window has a height of 8 so h = 8 .
We then plug these numbers into the formula to find the area
Recall formula: [tex]A=\frac{a+b}{2} h[/tex]
a = 10 , b = 14 and h = 8
plug in these values into formula
[tex]A=\frac{10+14}{2} 8[/tex]
add 10 and 14 to get 24
[tex]A=\frac{24}{2} 8[/tex]
simplify fraction : 24 / 2 = 12
[tex]A=(12)(8)[/tex]
multiply 12 and 8 to get 96.
A = 96 square feet.
To find how long it would take to wash the window we divide the total area of the window by the amount of area that can be washed per minute
Total area of window = 96
Area that can be washed per minute = 6
Time it would take to wash the whole window = 96 / 6 = 16 minutes
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If u vector= a vector-b vector and v vector= a vector+b vector and magnitude of a = b = 2, then magnitude of u vector multiply v vector =???
Answer:
zero
Step-by-step explanation:
[tex]\overrightarrow{u} = \overrightarrow{a} - \overrightarrow{b}\\\\\overrightarrow{v}= \overrightarrow{a} + \overrightarrow{b}\\\\\overrightarrow{u} . \overrightarrow{v} = a^2 - b^2 \\\\\overrightarrow{u} . \overrightarrow{v} = 2^2 - 2^2 = 0[/tex]
So, vector u and vector v are perpendicular to each other.
HELP ASAP
THANK YOU!!!
Answer:
C
Step-by-step explanation:
The function C has a range of (-infinity, a] and domain [b, infinity)
draw two intersecting line segment AB and CD intersecting O. Measure the size of each pair of vertically opposite angles. Verify each pair of vertically opposite angles are equal.
When two line segments intersects, a set of vertically opposite angles are formed. So that by comparison of angles formed in the attachment, a set of vertically opposite angles formed are: >AOC and >BOD; then >AOD and >BOC.
A pair of vertically opposite angles are formed when two lines meet at a point. And the pair of vertically opposite angles formed are said to have equal size.
From the given question, line segment AB intersecting CD at point O would produce a set of vertically opposite angles. So that each pair has equal size.
From the attached diagram, it can be observed that;
m>AOC = m>BOC = m>AOD = m>BOD = [tex]90^{o}[/tex]
But;
m>AOC ≅ m>BOD = [tex]90^{o}[/tex] (vertically opposite angle property)
also,
m>AOD ≅ m>BOC = [tex]90^{o}[/tex] (vertically opposite angle property)
Therefore it can be verified that each pair of vertically opposite angles are equal.
NB: The required diagram to the question is herewith attached to this question for more clarifications and reference.
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unit 1 lesson 11 practice problems answers
Answer:
? more information needed
Step-by-step explanation:
I don't understand this one
Answer:
9/8 = n
Step-by-step explanation:
9 = 8n
Divide each side by 8
9/8 = 8n/8
9/8 = n
3. A straight line passes through two points with
coordinates (6,8) and (0,5).
Work out the equation of the line.
Answer:
Step-by-step explanation:
Find the slope of the line
(x₁ , y₁) = (6 , 8) & (x₂ , y₂) = (0 , 5)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{5-8}{0-6}\\\\=\frac{-3}{-6}\\\\=\frac{1}{2}[/tex]
m = 1/2 ;(x₁ , y₁) = (6 , 8)
y - y₁ = m(x - x₁)
[tex]y - 8 = \frac{1}{2}(x - 6)\\\\y - 8 =\frac{1}{2}x -\frac{1}{2}*6\\\\y - 8 =\frac{1}{2}x- 3\\\\y = \frac{1}{2}x - 3 + 8\\\\y = \frac{1}{2}x + 5[/tex]
find the missing side of the triangle.
13. A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S) = 0.31. They have also determined that the probability that someone has lung
cancer, given that they are a smoker is P(LCS) = 0.226. What is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer
P(SnLC)?
-0.08
-0.73
-0.25
-0.07
=======================================================
Work Shown:
S = person is a smokerLC = person has lung cancerP(S) = 0.31 = probability someone is a smokerP(LC given S) = probability someone has lung cancer, given they are a smokerP(LC given S) = 0.226Use that given info to say the following:
P(LC given S) = P(LC and S)/P(S)
P(LC and S) = P(LC given S)*P(S)
P(LC and S) = 0.31*0.226
P(LC and S) = 0.07006
P(LC and S) = 0.07
This problem is an example of using conditional probability.
I used "and" in place of the intersection symbol [tex]\cap[/tex]
Saying P(LC and S) is the same as P(S and LC). The order doesn't matter.
What are the domain and range of f(x) = |x + 6|? Domain: (negative infinity, infinity); range: f(x) > 0 domain: x < -6; range: (negative infinity, infinity) domain: x > -6; range: (negative infinity, infinity) domain: (negative infinity, infinity) ; range: f(x) < 0
Answer:
Domain: [tex](-\infty,\infty)[/tex]
Range: [tex]f(x) \ge 0[/tex]
Step-by-step explanation:
Given
[tex]f(x) = |x + 6|[/tex]
Required
The domain and the range
First, we calculate the domain
[tex]f(x) = |x + 6|[/tex]
The above function does not have roots or fraction, where x is the denominator. This means that the domain is all real numbers, i.e. [tex](-\infty,\infty)[/tex]
The range
The function is an absolute function; So, the minimum value is 0.
Hence, the range is:
[tex]f(x) \ge 0[/tex]
Answer:
A
Step-by-step explanation:
on edge
"A parabola has the equation = ^ + − . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way
Answer:
1
Step-by-step explanation:
1
Evaluate the functions in the given points.
a. f(x) = x
2 − 6 for f(0), f(−6), f(√6), f(
1
2
)
b. f(x) = x
3 + 2x for f(0), f(−2), f(−1), f(
1
2
)
c. f(x) =
1−2x
3
for f(0), f(−2), f(2), f (
1
2
) , f(m), f(m − 1), f(−m)
d.f(x) = |x| −
1
x
for f(−1), f(2), f(h), f (
1
2
) , f(−h + 2) where h ≠ 0
Answer:
Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)..............
Step-by-step explanation:
complete the equation: x^2 + 10x + _ = (_)^2
Answer:
(x + 5)²
Step-by-step explanation:
Given
x² + 10x
To complete the square
add ( half the coefficient of the x- term )² to x² + 10x
x² + 2(5)x + 25
Then
x² + 10x + 25 = (x + 5)²
in parallelogram ABCD, what is m
9514 1404 393
Answer:
(d) 25°
Step-by-step explanation:
Each diagonal represents a transversal between parallel lines. Alternate interior angles are congruent, so ...
∠BDC ≅ ∠DBA = 25°
Which of the following is a point-slope equation of a line that passes through
the points (-1,4) and (8, -2)?
O A. y-1--3(x-1)
O B. y 4 = {(x+1)
O C. y-4--(x+1)
O D. y-4--2(x+1)
Answer:
y - 4 = -2/3 (x + 1)
Step-by-step explanation:
y2 - y1 / x2 - x1 -2 - 4 / 8 - (-1) -6/9 = -2/3
y - 4 = -2/3 (x + 1)
Jay has a jar of beads. 6 purple beard, 8 blue beads, and 4 yellow beads. If he removes one bead at random, what is the probability that it will not be yellow?
You get a pie chart to do percentages just so you dont cheat you still can do work y'know
Find the graph of the inequality ys-=x+ 1.
Answer:
C
Step-by-step explanation
The y-intercept is 1, the slope is -1/3, and the shaded area is under the graph because y is LESS than -x/3 + 1.
Make x the subject of the formula (help again)
I'm really bad at these
xk-w=y
Answer:
x = (y+w)/k
Step-by-step explanation:
xk-w=y
Add w to each side
xk-w+w=y+w
xk = y+w
Divide each side by k
xk/k = (y+w)/k
x = (y+w)/k
Answer:
x=[tex]\frac{y+w}{k}[/tex]
Step-by-step explanation:
Have a nice day
The factored form of the expression -25t - 175 is
Answer:
-25(t +7)
Step-by-step explanation:
-25t - 175
Factor out -25
-25 *t +-25* 7
-25(t +7)
Lucy drove 200 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 420 miles
Answer:
18.9
Step-by-step explanation:
if 200miles = 9gallons
then 420miles = ?
note:if more less divide and if less more divide.
so it is 420/200×9=18.9
kim is 10 years older than laura. laura is twice as old as melissa. if melissa will be 1o years old in 5 years, how old is kim now
Answer:
Kim is 20 years old
Step-by-step explanation:
We have to make equations;
Kim= laura+10 so L+10
Laura is twice as old as Melissa so Laura will be
2 X M = 2M
Melissa is 5 years old nowInput values in to the equation
2M = 2X5= 10 years old (Laura)As Kim is 10 years older than Laura it will be 10+10
which will give the answer of 20The age of Kim is 20 years.
What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.
Kim's age = laura' age +10 years
= x +10
As, Laura is twice as old as Melissa
Laura's age = 2*y
Now, Melissa is 5 years old now
So,
2y = 2X5= 10 years old
So, the Kim's age= 10+ 10 = 20 years old
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I need help to Find the value of x. Round to
the nearest tenth.
Answer:
4.5
Step-by-step explanation:
We are given opposite and adjacent, so use tangent
tan(37)=x/6
6tan(37)=4.521324301
Tyna simplified the expression StartFraction 3 x cubed Over 12 x Superscript negative 2 Baseline EndFraction to StartFraction x Over 4 EndFraction. What was Tyna's mistake? She divided the coefficients incorrectly. She added the exponents instead of subtracting them. She divided the coefficients instead of subtracting them. She subtracted the exponents instead of dividing them.
Answer:
She divided the coefficients incorrectly
Step-by-step explanation:
A. She divided the coefficients incorrectly.
B. She added the exponents instead of subtracting them.
C. She divided the coefficients instead of subtracting them.
D. She subtracted the exponents instead of dividing them.
Correct calculation:
3x³/12x^-2
= 3x³ ÷ 12x^-2
= 3x³ ÷ 1/12x²
= 3x³ × 12x²/1
= 36x^5
Tyna's calculation:
3x³/12x^-2 = x/4
Answer:the answer is A
Step-by-step explanation:
got 100 on the test
I just really need to finish this math stuff so plz help me
Answer:
[tex]\frac{wx}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{7wxy}{35y}[/tex]
Cancel y on numerator/ denominator and 7/ 35 by 7, leaving
[tex]\frac{xx}{5}[/tex]
What is the height h of the garage roof?
Which of the following options correctly represents the complete factored
form of the polynomial F(x) = x^4 +5x2 +4
Answer:
(x-5)(x+2)(x+4)
Step-by-step explanation:
I just did It
what is the difference between a theorem and an axion ?
Answer:
An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.
hope it helps
PLEASE MARK BRAINLIEST
Answer:
A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives. ... An axiom is a statement that is assumed to be true without any proof, while a theory is subject to be proven before it is considered to be true or false.
[/tex][tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1{cm}^{2}}[/tex][/tex]
[tex]\\[/tex]
[tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1}{cm}^{2}}[/tex]
[tex]\:[/tex]
[tex]\sf{\red{\dfrac{\tan\theta}{\sec\theta - 1}=\dfrac{\tan\theta + \sec\theta + 1}{\tan\theta + \sec\theta - 1}\:cm^{2}}}[/tex]
Design the image of UAE Mars mission-rocket in the following graph sheet and write
down any six coordinate points of its outline.
i hope these 3 images helps
A square based prism and a cylinder both have the same height of 4cm and the same base area. If the volume of the square based prism is 452cm cubed based on the concepts of Cavalieri's principle, what is the approximate circumference of the base of the cylinder?
The approximate circumference of the base of the cylinder is 37.7 cm
How to find circumference of a cylinder?The square based prism and a cylinder both have the same height of 4cm and the same base area.
volume = BH
where
B = base areaH = heightTherefore,
volume of squared base prism = 452
452 = 4B
B = 452 / 4
B = 113
Therefore,
base area of the cylinder = 113 = πr²
Hence,
113 / π = r²
r = √113 / π
circumference of the base of the cylinder = 2πr
circumference of the base of the cylinder = 2 × π × √113 / π
circumference of the base of the cylinder = 2 × 3.14 × 5.99891656885
circumference of the base of the cylinder = 37.6731960524
circumference of the base of the cylinder = 37.7 cm
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mutual sold an item for sh.3250 after allowing his customers a 12% discount on the marked price.if he had sold the article without giving a discount,he would have made a profit of 25%.calculate the percentage profit he made by selling the article at a discount?
Answer:
lol Step-by-step explanation:
Find the value of b. Round
the nearest tenth.
Answer:
b= sin(43°) * 8 / sin(55°) ≈ 6.7
Step-by-step explanation:
Regarding the law of sines, each angle corresponds to the side opposite of it. Here, that means that the 82 degree angle is opposite of side c (so they correspond) and that the 55 degree angle corresponds to the side with 8cm. However, we are trying to find the length of side b. Therefore, assuming that the side with 8cm is side A, if we know that
sin A / a = sinB/b = sin C / C
= sin(55°)/8 = sinB/b = sin(82°) / c, we can take c out of the equation to get
sin(55°)/8 = sinB/b
If we know sinB, we can multiply both sides by 8 to remove a denominator to get
sin(55°) * b / 8 = sinB
multiply both sides by 8 to remove the other denominator to get
sin(55°) * b = sinB * 8
divide both sides by sin(55°) to isolate the b
b = sinB * 8/sin(55°).
Therefore, if we know sinB, we can figure out the length of b.
Because the angles of a triangle add up to 180 degrees, we can say that
180 = 82 + 55 + angle B
180 = 137 + B
subtract both sides by 137 to isolate B
43 = B
b= sin(43°) * 8 / sin(55°) ≈ 6.7
