Answer:
1 minute and 12 seconds is 2 % of an hour.
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
Which equation is correct?
cos x° = adjacent ÷ opposite
tan x° = opposite ÷ adjacent
cos x° = opposite ÷ adjacent
tan x° = adjacent ÷ opposite
Answer:
B
Step-by-step explanation:
Sin x°= opposite ÷ hypotenuse
Cos x°= adjacent ÷ hypotenuse
Tan x°= opposite ÷ adjacent
Ctg x°= adjacent ÷ opposite
The correct will bet cot x = adjacent ÷ opposite
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Using trigonometric properties we have
Sin x°= opposite ÷ hypotenuseCos x°= adjacent ÷ hypotenuseTan x°= opposite ÷ adjacentCot x°= adjacent ÷ oppositeLearn more about trigonometry here:
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A shopkeeper marked the price of an article a certain percent above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9,492 with 13% VAT to buy the article, by what percent is the marked price above the cost price of the article?
Plz solve this problem
Answer:
25%
Step-by-step explanation:
let the MP be x
sp without vat =x-16%of x
= 21x/25
sp with VAT = 21x/25 +13% of 21x/25
rs 9492 = 2373x/2500
( 9492*2500)/2373=x
x = 10000
cp = ((21x/25 )*100)/100+5 ( 5= profit percent )
=8000
(10000-8000)×100%/8000
=25%
Wendy went to the salon and had 2 1/6 inches of hair cut off. The next day she went back
and asked for another 2 1/6 inches to be cut off. How much hair did she have cut off in all?
Write your answer as a fraction or as a whole or mixed number.
inches.
Answer:
4 1/3 of her hair
Step-by-step explanation:
Just add 2 1/6 + 2 1/6 and there you go
There is the total amount of her hair she cut
The sum of a number and 2 is 6 less than twice that number
Step-by-step explanation:
The first thing we have to do before we can actually do the problem is turn the words into a math equation.
If we use x as our "number," we see that "The sum of a number and 2" can also be written as x+2. The word "Is" almost always means (=), so now we have (x+2) = . The very last part, "6 less than twice that number," means 2x - 6.
So, our whole equation is, (x + 2) = (2x - 6), which simplifies to -x = -8, or
x = 8
Answer:
y = 8
Step-by-step explanation:
number = y
y + 2 = 2y - 6
y + 2 - 2 = 2y - 6 - 2
y = 2y - 8
y - 2y = 2y - 2y - 8
- y = - 8
- y × - 1 = - 8 × - 1
y = 8
y
In the diagram, AB = 10 and AC = 210. What is the
perimeter of ABC?
ch
A (8,4
O 10 units
4 3 2
O 10+ 210 units
O 20 units
X
O 20+ 2/10 units
2 3 4 5
B (5,-2)
C (5,-2)
3
9514 1404 393
Answer:
20 +2√10 ≈ 26.3 units
Step-by-step explanation:
Length AB is given as 10 units. Length AC is given as 2√10 ≈ 6.325 units. The length BC is the difference of the x-coordinates of its end points, since they are on a horizontal line: 5 -(-5) = 10 units.
The perimeter is the sum of the lengths of the sides of the triangle.
P = AB +AC +BC = 10 +2√10 +10 = 20 +2√10 ≈ 26.3 . . . units
Find the value of x in the isosceles triangle shown below.
Answer:
x = 6
Step-by-step explanation:
The isosceles triangle is divided into two forming two right triangles
in right triangles the square value of hypotenuse is equal to sum of other two side lengths
x^2 + 4^2 = 52
x^2 + 16 = 52 subtract 16 from both sides
x^2 = 36 find the root for both sides
x = 6
Solve for x using the
distributive property.
-2(-3+ x) = -4
X =
[?]
Answer:
x=5
Step-by-step explanation:
-2(-3+ x) = -4
Distribute
-2 * -3 + (-2) *x = -4
6 -2x = -4
Subtract 6 from each side
6 -2x-6 = -4-6
-2x = -10
Divide each side by -2
-2x/-2 = -10/-2
x = 5
Answer:
5
Step-by-step explanation:
-2(-3+x)=-4
Use distributive property (Multiply -2 by -3 which gives you 6vand multiply -2 by x which gives you -2x )
6-2x=-4
Bring the 6 over to the other side
-2x=-4-6
-2x=-10
Divide both sides by -2 to get x by itself
x=5
Help me pls its Pythagorean theorem I need help
Answer:
the answer is 3.81
but rounding it it will be 3.8 meters
Step-by-step explanation:
Pythagorean theorem says
a²+b²=c²
so,
take take the Lowest measurement as a² which will be 7 and take 8 as the hypotenuse or the longest side which is c²
then put it all together you get
7²+x²=8²
we made b as x because we will be finding b
then substitute the values
x²=8²-7²
x²=64-49
x²=15
to remove that square from the x you then put square root in both
✓x²=✓15
press in the calculator, root of 15 will be about 3.81
now we got
x=3.81
x is the missing measurement
SOMEONE PLEASE ANSWER THIS ASAP!!
The population of Arlington High School can be modeled using the equation P(t) = 3,500(1.027)^t , where t represents the number of years since 2010
Is the population of Arlington High increasing or decreasing? Explain how you can tell using the equation.
How do you interpret the statement that P(6)= 4,107
SOMEONE PLEASE ANSWER THIS
Step-by-step explanation:
Arlington is increasing because it has 1.027, if it was 0.27 it would be decreasing
If p(6)= 4107 that means after 6 years there would be a total population of 4107
Find the area of the circle. Use 3.14 for the value of T Round your answer to the nearest tenth. Don't forget to find the radius first before finding the area.
10.2 in
Answer:
Step-by-step explanation:
r = d/2
r = 10.2/2 = 5.1
Area = pi * r^2
Area = 3.14 * 5.1^2
Area = 81.67 in^2
To the nearest 1/10, this is 81.7 in^2
What is the value of x
(X+40) (3x)
A. 20
B. 35
C. 60
D. 70
Answer: A. 20 is the answer.
Step-by-step explanation:
x+40 = 3x
or, 40 = 3x-x
or, 2x = 40
or, x = 40/2
so, x = 20
Which term describes the red curve in the figure bellow?
Answer:
Letter B. Hyperbole is your answer
gayle started with 30 pairs of shoes and donated X pairs. Her sister Bonnie started with 22 pairs of shoes and donated half as many pairs as Gayle did. How many pairs of shoes did Gayle donate if they had the same number of shoes remaining
Answer:
16 pair of shoes
Step-by-step explanation:
If Gayle donated x pairs, it means he is left with 30 - x pair of shoes.
Bonnie donated half as many as Gayle as donated.
We know Gayle donated x pairs, so Bonnie must have donated x/2.
Bonnie is left with 22 - (x/2) pairs after donation.
The question says, after donation they have the same number of pair of shoes.
It means, 30 - x = 22-(x/2),
If you will manipulate this equation and make x the subject,
you will get x=16.
I hope it helps.
Gayle donated 16 shoes
Number of shoes Gayle has after the equation can be represented with this equation : 30 - x
Where x = number of shoes she donated
Number of shoes Bonnie donated = 0.5x
Number of shoes Bonnie has after the equation can be represented with this equation : 22 - 0.5x
If Bonnie and Gayle ended with the same amount of shoes after the donation, this can be represented as:
30 - x = 22 - 0.5x
Combine similar terms
30 - 22 = x - 0.5x
8 = 0.5x
Divide both sides of the equation by 0.5
x = 16
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Find the volume of this cylinder please..
Answer: 825
Step-by-step explanation:
Plug in the values for v = π*r²*h
So, your new equation is v = π*5²*11 (I got 5 because 10 is the diameter, the radius is half the diameter, therefore r = 5.)
The question is also telling us to replace π with 3.
now we solve, after gathering all of our information.
v = 3*5²*11
v=3*25*11
v=75*11
v=825
The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 450 cubic inches under a pressure of 3 pounds per square inch, what will be its volume if the pressure is increased to 5 pounds per square inch
Answer: [tex]270\ in.^3[/tex]
Step-by-step explanation:
Given
Volume of a gas varies inversely with pressure i.e.
[tex]V\propto \dfrac{1}{P}\\\\PV=\text{constant}[/tex]
Initially, [tex]V_1=450\ in.^3,P_1=3\ psi[/tex]
Then, pressure increases to [tex]P_2=5\ psi[/tex]
[tex]\therefore P_1V_1=P_2V_2\\\Rightarrow 3\times 450=5\times V_2\\\Rightarrow V_2=3\times 90\\\Rightarrow V_2=270\ in.^3[/tex]
Thus, volume decreases to [tex]270\ in.^3[/tex].
Write an equation of a circle given the center (-4,4) and radius r=5
Answer:
Step-by-step explanation:
Equation of circle: (x - h)² + (y - k)² = r² where (h,k) is the center.
Center( -4 , 4) and r = 5
(x -[-4])² + (y - 4)²= 5²
(x + 4)² + (y-4)² = 25
x² + 2*4*x +4² + y² - 2*y*4 + 4² = 25
x² +8x + 16 + y² - 8y + 16 = 25
x² + 8x + y² - 8y + 16 + 16 -25 = 0
x² + 8x + y² - 8y +7 = 0
We have that the an equation of a circle given the center (-4,4) and radius r=5 is mathematically given as
(x-4)^2+(y-4)^2=5^2
Equation of a circle
Question Parameters:
Given the center (-4,4) and radius r=5
Generally the equation for the Equation of a circle is mathematically given as
(x-x')^2+(y-y')^2=r^2
Therefore, The resultant equation will be
(x-x')^2+(y-y')^2=r^2
(x-4)^2+(y-4)^2=5^2
Hence,an equation of a circle given the center (-4,4) and radius r=5 is
(x-4)^2+(y-4)^2=5^2
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On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.
Answer:
380
Step-by-step explanation:
This is a bit nasty. It depends on how you read the 20 miles more and what you do with it. The best and most careful way to do it is do it a long way setting up the two equations carefully.
Second day
Let the time travelled = t
Let the speed travelled = 60 mph
d2 = 60*t
First Day
40*(t + 2) = d1
but d1 = d2 + 20 because he travelled 20 miles further on d1
40 * (t + 2) = d2 + 20
d2 however = 60*t
40*(t+2 ) = 60*t + 20 Remove the brackets
40t + 80 = 60t + 20 Subtract 20 from both sides
40t + 60 = 60t Subtract 40t from both sides
60 = 20*t Divide by 20
t = 60/20
t = 3 hours.
Day 2 = 60 + t = 180
Day 1 = 40*5 = 200
Total distance = 380
Where did that 20 miles go? It was just an observation about the difference in distance travelled between the 2 days.
The total distance the driver traveled in the two days is 260 miles
From the question, on the first day, the driver was going as a speed of 40 mph.
Let s be speed
∴ [tex]s_{1}= 40mph[/tex]
On the second day, he increased the speed to 60 mph
∴ [tex]s_{2}= 60mph[/tex]
From the statement- If he drove 2 more hours on the first day
Let time be t
Then
[tex]t_{1}= t_{2} + 2[/tex] hrs
and traveled 20 more miles
Let d be distance
Then,
[tex]d_{1}= d_{2} + 20[/tex] miles
From the formula
Distance = Speed × Time
Then,
[tex]d = s \times t[/tex]
∴ [tex]d_{1} = s_{1} \times t_{1}[/tex]
From above,
[tex]d_{1}= d_{2}+20[/tex] miles
[tex]s_{1}= 40mph[/tex]
[tex]t_{1}= t_{2} + 2[/tex] hrs
Putting these into
[tex]d_{1} = s_{1} \times t_{1}[/tex]
[tex]d_{2} + 20 = 40\times (t_{2}+2)[/tex] ...... (1)
But,
[tex]Time = \frac{Distance}{Speed}[/tex]
∴ [tex]t_{2}= \frac{d_{2} }{s_{2} }[/tex]
From above, [tex]s_{2}= 60mph[/tex]
∴ [tex]t_{2}= \frac{d_{2} }{60}[/tex]
Put this into equation (1)
[tex]d_{2} + 20 = 40\times (t_{2}+2)[/tex]
[tex]d_{2} + 20 = 40\times (\frac{d_{2}}{60} +2)[/tex]
[tex]d_{2} + 20 = \frac{2}{3}d_{2} +80\\d_{2} = \frac{2}{3}d_{2} +80-20\\d_{2} = \frac{2}{3}d_{2} +60[/tex]
Multiply through by 3
[tex]3\times d_{2} = 3\times \frac{2}{3}d_{2} +3 \times 60\\3d_{2} = 2d_{2} + 120\\3d_{2} -2d_{2} = 120[/tex]
∴ [tex]d_{2} = 120[/tex] miles
∴The distance traveled on the second day is 120 miles
For the distance traveled on the first day,
Substitute [tex]d_{2}[/tex] into the equation
[tex]d_{1}= d_{2}+20[/tex] miles
∴ [tex]d_{1}= 120+20[/tex]
[tex]d_{1}= 140[/tex] miles
∴ The distance traveled on the first day is 140 miles
The total distance traveled in the two days = [tex]d_{1} + d_{2}[/tex]
The total distance traveled in the two days = 120 miles + 140 miles
The total distance traveled in the two days = 260 miles
Hence, the total distance the driver traveled in the two days is 260 miles
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can someone help me please.
Answer:
A. 11.18
Step-by-step explanation:
(1, -2) will be x1 and y1.
(-9, 3) will be x2 and y2
The formula is
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute in all the variables.
[tex]\sqrt{(-9-1)^2+(3-(-2))^2}[/tex]
Solve.
[tex]\sqrt{(-10)^2+5^2}[/tex]
[tex]\sqrt{100+25}[/tex]
[tex]5\sqrt{5}[/tex]
11.18033988.....
I hope this helps!
pls ❤ and mark brainliest pls!
Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.
In this question, we want to find the average rate of change of a function over an interval, it represents by how much f(x) changes when x changes by 1.
Average rate of change:
The average rate of change of a function over an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]f(x) = 2x^3 + 4[/tex]
Between x = 4 and x = 6, so [tex]a = 4, b = 6[/tex]. Then
[tex]f(a) = f(4) = 2*4^3 + 4 = 132[/tex]
[tex]f(b) = f(6) = 2*6^3 + 4 = 436[/tex]
Then
[tex]A = \frac{436 - 132}{6 - 4} = 152[/tex]
Thus, the average rate of change of the function is of 152, that is, when x changes by 1, y changes by 152.
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Mary wants to get spray foam insulation in her attic space. Shown here is a diagram of her attic - is the spray foam costs $3.15 per cubic meter, how much will it cost Mary to get her whole attic done?
Answer:
D 1,433.25
Step-by-step explanation:
1/2(10)(7)=35
35*13=455
455*3.15=1,433.25
Answer:
D
Step-by-step explanation:
You need to find the volume of the attic (I would find the surface area myself -- but this is math. You just have to obey the rules of the question no matter how silly).
The Volume is found by V = B * h1
The base is a triangle.
b = 7 m
h1 = 10 m
Area = 1/2 * 7 * 10
area = 35 m^2
The volume of the attic is
V = B * h
V = 35 * 13
V = 455 m^3
The cost = cost /m^3 * m^3
m^3 = 455
Cost = 3.15 * 455
Cost = 1433.25
Help???
Find the value of x.
A.74
B.84
C.48
D.148
Answer:
A
Step-by-step explanation:
The tangent- tangent angle x is half the difference of the measures of the intercepted arcs.
minor arc = 360° - 254° = 106° , then
x = [tex]\frac{1}{2}[/tex] (254 - 106)° = [tex]\frac{1}{2}[/tex] × 148° = 74° → A
The value of angle x will be 74°. Then the correct option is A.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
We know that the sum of the minor arc and major arc made by a tangent in a circle will be 360 degrees.
Then the measure of the minor arc will be
⇒ 360° - 254°
⇒ 106°
We know that the angle made by the tangent is half of the major arc to the minor arc.
x = (254° - 106°) / 2
x = 148° / 2
x = 74°
The value of angle x will be 74°.
Then the correct option is A.
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pls help me i really need it!
Answer:
A
Step-by-step explanation:
Given m|n, find the value of x.
(6x-5)
(6x+5)
Answer:
Submit Answer
attempt
PLSSSS HELP
Answer:
x = 15
Step-by-step explanation:
The two angles form a straight line so they add to 180
6x-5+6x+5 = 180
Combine like terms
12x= 180
Divide by 12
12x/12 =180/12
x = 15
If you could answer them all It would really be helpful PLEASE marking brainliest
Answer:
1. the area of the triangle minus the area of the small, inner rectangle. what did you not understand there ?
the standard formula (hi, internet !) for the area of a triangle is baseline×height/2.
the standard formula (hi, first grade !) for the area of a rectangle is length×width.
that's it.
1.a.
the volume of an object regularity shaped like a silo is always ground area times height.
for this object we only need to imagine to stand the object up sideways on the triangle side.
and don't forget - an area is always a square unit (like cm²,m², ft², ...). and a volume is always a cubic unit (like cm³, m³, ft³, ...).
so then, the triangle area is the ground area. and the original long side line of the object is is height.
as we said in 1. above, the area of a triangle is baseline×height (of the triangle, not of the overall object) divided by 2.
so, we have here 6×4/2 = 6×2 = 12 m²
and now the ground area × object height = 12×8=96 m³
b.
the standard formula for the volume of a ball (hi, internet !) is pi×r³.
so, we have here pi×9³. can you calculate that with your calculator ? that is pi×729 = 2290.221 cm³
2a.
the height of the cone is (as the drawing already suggests) determined via the right-angled triangle of the radius (half of the diameter) of the ground circle, the height of the cone and the length of the sideline on the outside mantle of the cone. this sideline is the Hypotenuse (the baseline of the triangle opposite of the 90 degree angle).
so, we use Pythagoras
c² = a² + b² (c being the Hypotenuse, a and b being the sides).
11² = 8² + h²
121 = 64 + h²
h² = 57
h = 7.55 cm
2b.
the standard formula for the volume of a cone (hi, internet !) is
pi×r²×h/3
pi×8²×7.55/3 = pi×64×7.55/3 = 506 cm³
Step-by-step explanation:
all of that you could easily search on the internet and since it yourself way faster than putting things in here and waiting for responses.
as there is really nothing to explain but just to use the standard formulas with the given numbers.
Please help me answer this question:
(D 3, 3, 5, 5, 6, 7, 8, 9, 11
Answer:
According to the graph presented within the proposed interrogate, the answer to such is identified as ‘C’: 2, 3, 5, 5, 6, 7, 8, 10, 11.
Step-by-step explanation:
To evaluate for such a problem, a comprehension of the “Whisker” plots is obligated.
- The box geometric figure with the vertical line contained within represents the average of the numbers presented.
* In this peculiar case, 6 is acknowledged as the individual value responsible for the mean.
Thus far, browsing at such answer choices, we are obligated to appoint an answer where 6 is the standard deviation or the mean (where 6, and only 6, is found in the middle of the set of numbers provided).
The only answer choice in which certifies to all conditions thus far declared is disseminated as “C”.
*I hope this helps.
What is the solution to the system of equations graphed below?
Answer:
the third option=C -2,3
Step-by-step explanation:
solve simultaneously
Answer:
(-2,3)
Step-by-step explanation:
The solution to the system is where the two lines cross
x= -2
y = 3
(-2,3)
Quadrilateral ABCD is inscribed in this circle. What is the measure of angle a?
Answer:
Step-by-step explanation:
The rule is that opposite angles are supplementary. Therefore, angle A plus angle C = 180:
angle A + 43 = 180 and
angle A = 180 - 43 so
angle A = 137
x²+10x+25resove into factors.
Answer:
(x + 5)(x + 5)
Step-by-step explanation:
[tex]x^2+10x+25\\(x+5)(x+5)[/tex]
Answer:
(x+5)(x+5)
Step-by-step explanation:
x²+10x+25
x²+5x+5x+25
x(x+5)+5(x+5)
(x+5)(x+5)
The following house is called an A-frame house because it looks like the letter A from the front.
Suppose that all edges of this A-frame house measure 6.5 yards, and the height of the house is 5.6 yards.
What is the area covered by the roof? [Type your answer as a number. Do not round.]
__ square yards
The area covered by the roof would be 84.5 square yards.
How to calculate the area covered by the roof of the house?To calculate the area covered by the roof the formula that should be used would be the formula for the area of a square;
That is ;
Area = 2(length×width)
= 2(6.5×6.5)
= 2(42.25)
= 84.5 yards²
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HELPPP HELP PLS PRONTO ASAP
Ahmed is working at a restaurant. His boss pays him $16.00 per hour and
promises a raise of $1.25 per hour every 6 months. Which sequence
describes Ahmed's expected hourly wages, in dollars, starting with his current
wage?
Answer:
B
Step-by-step explanation:
each of the numbers is just adding 1.25 on to it
Answer: Choice B
16.00, 17.25, 18.50, 19.75, ...
==========================================================
Explanation:
We start with $16.00 as the first term, as this is the amount the boss pays him initially. Then we add on 1.25 to get 16+1.25 = 17.25 to represent the next wage after that first raise.
Then after the second raise he gets, he'll then earn 17.25+1.25 = 18.50 an hour. This process theoretically can go on forever, but realistically the boss will likely set some kind of limit.
We say that this sequence { 16.00, 17.25, 18.50, 19.75, ... } is arithmetic with the first term of 16.00 and common difference 1.25
The common difference is the gap width between any two neighboring terms, and it's the amount the wage goes up each time he gets a raise.