Medals please help
Which of the following is the statement of the triangle inequality theorem?
A. The sum of the measures of any two angles of a triangle is greater than the measure of the third angle.
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
C. The longest side of a triangle is opposite the largest angle.
D. The largest angle of a triangle is between the two longest sides.,
A right rectangular prism has a square base and a height of 9 feet. its volume, v, is 144 cubic feet. what is the length of s, the sides of the base?
The length of the sides of the base of a rectangular prism is 4 feet.
Given that, a right rectangular prism has a square base and a height of 9 feet.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.
Volume of a rectangular prism = Area of a base × Height.
Here, the volume of a rectangular prism = 144 cubic feet
Area of base = Area of a square = s²
So, 144 = s² × 9
⇒ s² = 16
⇒ s = 4 feet
Therefore, the length of the sides of the base of a rectangular prism is 4 feet.
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Describe the relationship of input and output values for composite functions.
The measures of exterior angles of a regular polygon with n numbers of sides ______ as n increases.
increases
decreases
remains the same,
Can someone check my answer please?
Quadrilateral ABCD is inscribed in circle O.
What is m∠B?
m∠A + m∠B = 180°
2x - 7 + 2x + 3 = 180
4x - 4 = 180
4x = 184
x = 46
m∠B = 2x + 3
m∠B = 2(46) + 3
m∠B = 92 + 3
m∠B = 95°
how many 1020 flats can fit on (2) 8'x4' tables?
which equation has (2, -1) as a solution?
A. y = 2x - 1
B. y = x + 3
C. y = x - 3
D. y = -2x + 1
If someone could explain this to me it would be greatly appreciated. Thank you.
Interest rates of 5%,6%,8%, earned on investments of $13,000,$12,000,$4,000. Calculate total amount of interest earned
A graphic artist earns $22 an hour, and she works 44 hours a week. What is her weekly wage?
A. $154
B. $308
C. $66
D. $968
Answer:
The answer is option D. The weekly wage is $968.
Step-by-step explanation:
The weekly salary can be found multiplying the earned money per hour and the amount of hours worked in the week:
[tex] Wweek=22\ \$/hr* 44\ hr/week[/tex]
[tex] Wweek=968\ \$/week[/tex]
In the United States the speed limit signs are in miles per hour. Unfortunately, your speedometer only reads in km/hour. How fast are you allowed to go if the speed sign says 70 mph (rounded to the nearest hundredth)
Answer:
The speed limit will be 112.65 kph.
Step-by-step explanation:
In order to find how fast one can go when speed sign says 70mph and the speedometer reads in km per hour we convert mph to kmph.
The conversion unit is 1mph= 1.609344kph
So 70mph = 70x1.609344=112.6541kph
Or 70mph=112.65 kph
One can travel at 112.65 kph.
Juliana and Maria logged a total of 90 hours working for their dad. Juliana worked 2 hours more than three times as much as Maria. How many hours did Juliana work?
Let
x---------> the hours logged by Juliana
y---------> the hours logged by Maria
we know that
[tex]x+y=90[/tex] ---------> equation [tex]1[/tex]
[tex]x=3y+2[/tex] ---------> equation [tex]2[/tex]
Substitute equation [tex]2[/tex] in equation [tex]1[/tex]
[tex](3y+2)+y=90[/tex]
[tex]4y+2=90[/tex]
[tex]4y=90-2[/tex]
[tex]4y=88[/tex]
[tex]y=88/4[/tex]
[tex]y=22\ hours[/tex]
Find the value of x
[tex]x=3y+2[/tex]
[tex]x=3*22+2[/tex]
[tex]x=68\ hours[/tex]
therefore
the answer is
Juliana worked [tex]68\ hours[/tex]
How does a high-mass star differ from a low-mass star as both enter the final stages of their life cycle?
A. A high-mass star dies more explosively.
B. A high-mass star ends in a nova event.
C. A high-mass star ends when it runs out of hydrogen.
D. A high-mass star converts helium to carbon, whereas a low-mass star does not.,
Please Help
A motorcycle cost $12,000 when it was purchased. The value of a motorcycle decreases by 6% each year. Find the rate of decay each month and select the correct answer below.
−0.005143%
−0.5143%
−0.005%
−0.5%
The rate of decay each month is given by 0.5143% and this can be determined by forming the expression from the given data.
Given :
A motorcycle cost $12,000 when it was purchased.The value of a motorcycle decreases by 6% each year.There are 12 months in a year then the value motorcycle retains every year is:
[tex]x^{12}=0.94[/tex]
Now, take the log on both sides in the above equation.
[tex]\rm logx^{12}=log(0.94)[/tex]
12 log x = log(0.94)
Now, divide log(0.94) by 12 in the above expression.
[tex]\rm log x = \dfrac{log(0.94)}{12}[/tex]
log x = -0.00223934553
[tex]x = 10^{-0.00223934553}[/tex]
x = 0.994856987
Now, to determine the rate of decay:
= (1 - x)100
= (1 - 0.994856987)100
= (0.005143)100
= 0.5143%
Therefore, the correct option is B).
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A sign standing 6 feet tall is situated 18 feet away from a flag pole. at a certain time of day the sign's shadow is 3 feet long and the flagpole's shadow is 24 feet long. how tall is the flagpole?
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Write the expression as either the sine, cosine, or tangent of a single angle
Bob's carpet cleaning company uses the equation y=22x+30 to calculate cost, y, to clean x numbers of rooms. Andy's carpet cleaning company uses the table below to calculate the cost to clean rooms.
Laura needs 5 rooms cleaned. Which company charges less and by how much less?
Hey, if I could get some help on this i'd really appreciate it.
QUESTION 1
What is the constant of variation for the quadratic variation?
0.1y = 3x^2
0.03
0.1
30
3
QUESTION 2
What is the constant of variation for the quadratic variation?
10y = 6x2
6
1.6
10
0.6
QUESTION 3
If f(x) varies directly with x^2, and f(x) = 96 when x = 4, find the value of f(2).
32
24
72
192
QUESTION 4
Write a quadratic variation equation if g(x) varies directly with x^2, and g(x) = 98 when x = 7.
g(x) = 2x^2
g(x) = 7x^2
g(x) = 1/2x^2
g(x) = 14x^2
Does anybody know the answer to X
the diameter of a bike is 90cm. How far would it travel after 5 revolutions?
Identify the factors of 9x2 + 30x + 25.
A) (3x − 5)(3x − 5)
B) (3x + 5)(3x + 5)
C) (9x + 5)(x + 5)
D) (9x − 5)(x − 5)
Answer:
B is correct
Step-by-step explanation:
The signs of the coefficients tell you the binomial factors must have both signs positive (selections B and C only). Selection B produces an x-term that is 15x+15x=30x (as we want); selection C produces an x-term that is 45x+5x=50x (not what we want).
What is the volume of a cube whose edges each have a measure of 1.5 cm?
A)2.25 cm³
B)3.375 cm³
C)4.5 cm³
D)9 cm³
I saw this question and I realized that it had the wrong answer. The actual answer is 3.375cm
10 POINTS + BRAINLIEST ANSWER!!!
65x + y = 455
A grocery store receives a shipment of oranges and consistently sells the same number of oranges each day. The equation above models the number of oranges, y, that remain x days after the shipment is received. What does it mean that (7, 0) is a solution to the equation?
A. It takes 7 days after the shipment until none of the oranges are remaining.
B. There are 7 oranges in the shipment.
C. It takes 7 days for orange to be sold to 455 customers.
D. After the shipment, 7 oranges are sold each day.
Why does an enzyme function as a catalyst in a reaction?
A. It maintains the proper temperature needed for the reaction.
B. It decreases the amount of energy needed for the reaction.
C. It creates the right pH needed for the reaction.
D. It provides the extra energy needed for the reaction.
Answer: Less energy is required for the reaction so B
Step-by-step explanation:
Solve the system of equations
y=3x+30
y=8x
_______________________
x= ??
y= ??
The area of a rectangular hotel room is 209 square feet. the perimeter is 60 feet. what are the dimensions of the room?
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Lamar has a summer job. He gets paid $7.25 an hour and a $150 bonus at the end of summer. The total Lamar earns can be modeled by the equation f(h) = 7.25h + 150, where h is the number of hours he works. In what form is the equation?
Final answer:
The equation representing Lamar's summer job earnings is in linear form with a constant rate of change represented by 7.25 and a vertical intercept of 150, which is his end-of-summer bonus.
Explanation:
The equation provided, f(h) = 7.25h + 150, is in linear form. This type of equation is used to model a relationship where the dependent variable, f(h), which represents Lamar's earnings, changes at a constant rate with respect to the independent variable, h, which represents the number of hours worked. The number 7.25 represents Lamar's hourly wage, while the 150 represents a fixed bonus amount he receives at the end of the summer, making it the constant term or vertical intercept when graphed on a coordinate plane.
26 POINTS WILL GIVE BRAINLIEST
2. Do the sides 16, 30, and 38 form a Pythagorean Triple? Explain why or why not.
3. A triangle has sides of length 10, 14, and 22. Is the triangle acute, right, or obtuse. Explain.
12. A person can see the top of a building at an angle of 42˚. The person is standing 30 ft away from the building and has an eye level of 6 ft. How tall is the building to the nearest tenth of a foot?