Answer:
Roberto bikes faster than Eileen by 1.3 mi/h
Step-by-step explanation:
Roberto bikes at 49.4/5.2=9.5 mi/h
Eileen bikes at 20.5/2.5=8.2 mi/h
9.5-8.2=1.3
So Roberto bikes faster than Eileen by 1.3 mi/h
The graph below represents the function f(x) and the translated function g(x).
AVA
2x
/g(x)
a
If f(x) = x, which of the following functions could be an algebraic representation of g(x)?
Solve the equation for y. 5x+2Y=9
Answer:
y = 9/2 - 5/2(x)
Step-by-step explanation:
I think this is right
Consider this expression x^2-(3x+y)+16
Answer:
x^2-3x-y+16?
Step-by-step explanation:
simplest form already, but can be converted into a proper polynomial.
x^2-3x-y+16
Isosceles triangle has , and a circle with radius is tangent to line at and to line at . What is the area of the circle that passes through vertices , , and
The circle that passes through the vertices of triangle ΔABC (A, B, C) is the
circumscribing circle of triangle ΔABC.
The area of the circle that passes through vertices A, B, and C, is (C) 26·π
Reasons:
The given parameters are;
Side length of isosceles triangle ΔABC; [tex]\overline{AB}[/tex] = [tex]\overline{AC}[/tex] = 3·√6
Radius of circle tangent to [tex]\overline{AB}[/tex] at B and [tex]\overline{AC}[/tex] at C = 5·√2
Required:
Area of the circle that passes through vertices A, B, and C
Solution:
Angle ∠BAO is given as follows;
[tex]\angle BAO = arctan\left(\dfrac{5 \cdot \sqrt{2} }{3 \cdot \sqrt{6}} \right) = \mathbf{arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)}[/tex]
Therefore;
[tex]\angle BOA = 90^{\circ} - arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)[/tex]
[tex]\overline{BC} = 2 \times 5 \cdot \sqrt{2} \times sin\left(90^{\circ} - arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)\right) = 15\cdot \sqrt{\dfrac{6}{13} }[/tex]
∠ABO' = ∠BAO' (Base angles of isosceles triangle ΔABO')
[tex]\angle BAO' = \angle BAO = \mathbf{arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)}[/tex]
Therefore;
[tex]\angle BO'A = 180^{\circ} - 2 \times arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)[/tex]
From sine rule, we have;
[tex]\dfrac{\overline{AB}}{sin \left(\angle BO'A \right)} = \mathbf{\dfrac{\overline{BO'}}{sin \left(\angle BAO' \right) \right)}}[/tex]
Which gives;
[tex]\mathbf{\dfrac{3 \cdot \sqrt{6} }{sin \left( 180^{\circ} - 2 \times arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)\right)}} = \dfrac{\overline{BO'}}{sin \left(arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right) \right)}[/tex]
Using a graphing calculator, we get;
[tex]\overline{BO'} = \dfrac{3 \cdot \sqrt{6} }{sin \left( 180^{\circ} - 2 \times arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)\right)} \times sin \left(arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right) \right) = \sqrt{26}[/tex]
The radius of the circumscribing circle [tex]\overline{BO'}[/tex] = √(26)
Therefore, area of the circumscribing circle, [tex]A_{O'}[/tex] = π·(√(26))² = 26·π
The area of the circle that passes through vertices A, B, and C, is (C) 26·π
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The possible question options obtained from a similar question online are;
(A) 24·π (B) 25·π (C) 26·π (D) 27·π (E) 28·π
URGENT PLEASE
Heron's Formula:
In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulas for the area of a triangle, such as half the base times the height. Use Heron's formula to find the area, in square centimeters, of ΔABC.
Question 6 options:
A)
16.541
B)
15.612
C)
14.704
D)
24.708
[tex]\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=7.2\\ b=6.7\\ c=4.5\\ s=\frac{7.2+6.7+4.5}{2}\\[0.5em] \qquad 9.2 \end{cases} \\\\\\ A\sqrt{9.2(9.2-7.2)(9.2-6.7)(9.2-4.5)}\implies A=\sqrt{9.2(2)(2.5)(4.7)} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 14.704~\hfill[/tex]
Answer:
The answer is C. 14.704
Step-by-step explanation: I just took the test
find the value of x for which f(x)=4
[tex] \: \: \: [/tex]
[tex]f(x) = 4[/tex]
The domain of a constant function is the set of all real numbers[tex]x = R[/tex]
hope it helps[tex] \: \: \: [/tex]
Find the measure of each interior angle of a polygon having 9 sides
Answer:
Sum of the interior angles = 1260°.
Step-by-step explanation:
Sum of the interior angles = (n - 2)180° where n= number of sides
Sum of the interior angles = (9-2)180
Sum of the interior angles = 1260°
b. 2x^2 + 15 _<13x solve polynomial inequality by factoring.
Answer:
x<5 or x<3/2
Step-by-step explanation:
2[tex]x^{2}[/tex]-13x+15<0
2[tex]x^{2}[/tex]-10x-3x+15<0
2x(x-5)-3(x-5)<0
(x-5)(2x-3)<0
x-5<0 or 2x-3<0
x<5 or x<3/2
This diagram models 3 friends who are sharing 2 turkey sandwiches equally.
How much does each friend get?
1/3 sandwich
2/3 sandwich
11/3 sandwiches
11/2 sandwiches
Answer:
2/3 sandwich.
Step-by-step explanation:
No Explanation
describe these sets 2,4,8,16,32,64
Answer: They are all divisible by 2.
Step-by-step explanation: They all have 2 in common. If you divide them by 2, they all work. Also, if you simplify all to the lowest number, they equal 2 except 2 itself which equals 1.
Answer:
divisible by 2 luv
Step-by-step explanation:
Find all solutions to below and explain why it must be constant coefficient.
The solution to the differential equation will be expressed as [tex]y_c=Ce^{2x}[/tex]
Given the differential equation;
[tex]\frac{d^2y}{dx^2}+2y \frac{dy}{dx} =0[/tex]
Since the right-hand side of the homogenous equation is zero, the differential equation is a homogenous equation
Let [tex]D=\frac{dy}{dx}[/tex]
The differential equation becomes;
[tex]D^2y-2Dy=0\\(D^2-2D)y=0[/tex]
Factorizing the auxiliary equation m² - 2m = 0
m² = 2m
m = 2
Since the auxiliary solution is real and distinct, the solution to the differential equation will be expressed as [tex]y_c=C_1e^{m_1x} + C_1e^{m_2x} \\[/tex]
Given that m =2, the solution will be expressed as [tex]y_c=Ce^{2x}[/tex]
b) Most linear differential equations have a constant coefficient because they are mostly solved using the quadratic method which is also called the method of quadrature. This means that the solution maybe expressed in integral form.
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Please Help!! I can"t solve this ! Kendrick had 2/3 of an ice cream cake left. Each piece on the ice cream cake is 1/ 12 of the entire cake. How many pieces are left?
Answer:
8
Step-by-step explanation:
A. 48 inches
B. 4 feet
Explain why length A is equivalent to length B. Use your knowledge of converting inches to feet in your answer.
Answer:
As 1 feet = 12 inches
Therefore, 4 feet = 48/12
= 4
Answer = 4 feet
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
3/2 x -1/9
-5/4 divided by 1 3/7
Show your work please
Answer:
3/2 x -1/9= -1/6
-5/4 divided by 1 3/7=-7/8
Step-by-step explanation:
Secondary succession occurs following triggers such as logging, mining, wildfires, or
drought. The presence of soil nutrients allows for a faster recovery.
Hardwood trees
Pine trees
Perennials
and
grasses
Shrubs
Answer:7777
Step-by-step explanation:
what is the definition of fixed percent?
Answer:
the quotient, fixed as a percentage
Step-by-step explanation:
Answer:
Fixed Percentage means, the quotient, expressed as a percentage, obtained by dividing the unexpended and not withdrawn amount of the Allocated Amount, at the time a Net Profits Interest is assigned by the total of (i) the unexpended and not withdrawn amount of the Allocated Amount and (ii) the unexpended and not.
A Subchapter S corporation:
is similar to a partnership in that it carries unlimited liability.
is a separate legal entity which is treated like a normal corporation.
has all the organizational benefits of a corporation and its income is only taxed once.
all of the above.
The product of two positive odd consecutive integers is 1599. What is the larger integer?
Answer:
800
Step-by-step explanation:
800+799=1599
A game designer is creating a computer animation of a rectangle with sides that vary in size. The length of the rectangle in centimeters after t seconds is given by the expression 2t-9, while the width is given by the expression 1 + t. After how many seconds is the rectangle a square?
Answer:
Step-by-step explanation:
Squares have equal length and widths
2t - 9 = 1 + t
2t - t - 9 + 9 = 1 + 9 + t - t
t = 10 s
???????????????????? :((
Step-by-step explanation:
1. Not all rational numbers are whole numbers. Whole numbers can be rational numbers, if expressed in fraction form. For example, 1 can be expressed as [tex]\frac{1}{1}[/tex]. A set of rational numbers consists of a set of numbers written as a quotient of two integers, a and b, in the form [tex]\frac{a}{b}[/tex] , where b ≠ 0. The reason why b ≠ 0 because division by zero is an undefined mathematical operation.
2. Irrational numbers differ from rational numbers in terms of its representation: while the rational numbers can be expressed as a ratio or in fraction form, irrational numbers cannot be expressed in fraction form.
Irrational numbers are a set of numbers for which its decimal representations is neither terminating, nor repeating. A couple examples of irrational numbers are: π and [tex]\sqrt{2}[/tex], as their decimal representations do not come to an end and doesn't have a block of repeating digits.
3. All real numbers are rational numbers. Real numbers comprise of natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
PLEASE HELP WITH THIS ONE QUESTION
Answer:
D. -3
Step-by-step explanation:
g(x) moved 3 units to the right
Se construye cubo de madera de qué tiene 26 m de aristas y se debe cubrir todo el cubo con plástico cuántos metros cuadrados de plástico se necesitará
Answer:
i tink its a
Step-by-step explanation:
(28 ⋅ 5−5 ⋅ 190)−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228. Help.
Answer 5-5.190 =-945 -2=-947 2-2=0+3 =3+7=-935
Step-by-step explanation:
Anyone know the answer to this plz
Answer:
Domain: -10 < x < 10
Range: -2 < y < 8
Step-by-step explanation:
Hope this helps!
19. Round the number 347 500 to the nearest 1000; 10 000 and 100 000.
To the nearest 1000
To the nearest 10 000
To the nearest 100 000
Answer:
34800, 350000, 300000
Step-by-step explanation:
5>=5
34800
7>=5
350000
4<=5
300000
Solve them ALL... BWAHAHAHAHAHAHAHAHAHAHAHAHAHAHA. Anyway Good LUCK
the first one is (B) i think
the second one is (B)
the third one is (B)
the fourth one is (A)
the fifth one is (A)
A long-sleeve shirt has 8 front buttons and 2 cuff buttons; a short-sleeve shirt has 6 front buttons and no cuff buttons. The factory which makes ‘Slimboy Shirts’ uses 10 times as many front buttons as cuff buttons. What is the ratio of long-sleeve shirts to short-sleeve shirts produced by the factory?
Leave your ratio in its simplest form.
Answer:
ratio of long-sleeved shirts to short-sleeved shirts is 1:2 this is my answer that I thought of if you don't feel comfortable believing me just wait for another person to answer and see what they say.
Step-by-step explanation:
Anyone able to help with this?
Answer:
20.1°
Step-by-step explanation:
Put the given numbers into the given formula and do the arithmetic.
∆L = 1050/(60·cos(29.5°)) ≈ 20.1°
The change in longitude is about 20.1 degrees.
__
Additional comments
A degree is 60 minutes: 1° = 60', so 30' = 0.5°.
This formula is accurate when the distance units are nautical miles.
Solve for x:
Yeah can't come in3x+7x=10x
Answer:
#happy learningStep-by-step explanation:
#brainly ph9.091 as a mixed number