help pls :p
1. Measure of each angle in the equilateral triangle is represented by the expression 2X +4 what is the value of X?
2. The sides of the triangle have lengths of 3 cm 8 cm and 10 cm if the smallest
side of a similar triangle has a length of 12 cm what must be the length of the longest side of this similar triangle?
3.
Answers
Answer:
1 x=28
2 40
Step-by-step explanation:
Related Questions
The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubic meters per minute. At the instant when the radius of the cone is 99 meters and the volume is 180 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V= 3 1 πr 2 h. Round your answer to three decimal places.
Answers
Answer:
The rate of change of the height is 0.021 meters per minute
Step-by-step explanation:
From the formula
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
Differentiate the equation with respect to time t, such that
[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]
To differentiate the product,
Let r² = u, so that
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]
Then, using product rule
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]
Since [tex]u = r^{2}[/tex]
Then, [tex]\frac{du}{dr} = 2r[/tex]
Using the Chain's rule
[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]
∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]
Then,
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
Now,
From the question
[tex]\frac{dr}{dt} = 7 m/min[/tex]
[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]
At the instant when [tex]r = 99 m[/tex]
and [tex]V = 180 m^{3}[/tex]
We will determine the value of h, using
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]
[tex]180 \times 3 = 9801\pi h[/tex]
[tex]h =\frac{540}{9801\pi }[/tex]
[tex]h =\frac{20}{363\pi }[/tex]
Now, Putting the parameters into the equation
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]
[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]
[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]
[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]
[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]
[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]
[tex]\frac{dh}{dt} = 0.021 m/min[/tex]
Hence, the rate of change of the height is 0.021 meters per minute.
can someone please help me it’s a quiz and idk what to do!!!! pls
Answers
Answer:
plot a point at (0,-8) and another one at (5,-7)
Step-by-step explanation:
connecting the dots would create the slope
What is the solution of the system of equations?
Help
Answers
Answer:
(0, 5)
Step-by-step explanation:
Which pair of triangles MUST be similar?
A. Triangle 5 has a 25 degree angle and a 75 degree angle. Triangle 6 has a 25 degree angle and a 70 degree angle.
B. Triangles 1 and 2 each have a 40 degree angle.
C. Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.
D.Triangles 3 and 4 are both scalene. Each have a 65 degree angle.
Answers
Answer:
C
Step-by-step explanation:
The total measurement of a triangle is 180
Triangle 7 has a 40 degree angle and 35 degree angle.
40+35=75
180-75=105
Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 333 chaperones for a field trip with 242424 students.
Answers
Answer: See explanation
Step-by-step explanation:
Here is the complete question:
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers.
A. Students: 72
Minimum of chaperones: 9
B. Students: 16
Minimum of chaperones: 2
C. Students: 60
Minimum of chaperones: 6
D. Students: 45
Minimum of chaperones: 5
E. Students: 40
Minimum of chaperones: 8
Since the museum requires a minimum of 3 chaperones for a field trip with 24 students. This means that there will be 24/3 = 8 students per chaperone.
We then divide the number of students given in the question by the number of chaperone to know our answers. This. Will be:
Students: 72
Minimum of chaperones: 9
This will be: 72/9 = 8
Therefore, this is correct.
B. Students: 16
Minimum of chaperones: 2
This will be: 16/2 = 8
This is correct
C. Students: 60
Minimum of chaperones: 6
This will be: = 60/6 = 10.
Therefore, this is wrong
D. Students: 45
Minimum of chaperones: 5
This will be 45/5 = 9
Therefore, this is wrong.
E. Students: 40
Minimum of chaperones: 8
This will be: 40/5 = 8.
Therefore, this is wrong.
Therefore, options A and B are correct.
Charlie, Henry, and Patrick went to the movies and each purchased 2
chocolate candy bars from concessions. Charlie ate
1/2 of a candy bar, Henry
ate 1 &
1/6 candy bars, and Patrick ate 1 & 3/4
candy bars.
How many candy bars did
the boys eat altogether? Select all the correct answers.
A. 3 & 5/12
B. 5 & 5/12
C. 41/12
D. 65/12
E. 2 & 5/12
Answers
Answer:
A
Step-by-step explanation:
Joseph had 380 heartbeats in 4 minutes. How many did he have in 15 minutes? (Write a proportion)
Answers
1435
Step-by-step explanation:
1435 hope this helps
Maine has a cold climate in the winter. Which statement about the probability of temperatures falling below 32F in Maine during the month of January is most likely true? Options: The probability is 100 | The probability is closer to 1 than to 0. The probability cannot be determined before Febuary The probability could be -1.
Answers
Answer:
can't help u..
Step-by-step explanation:
i am so sorry
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sjziaowoo1i3uo
PLZ MARK ME AS BRAINLIST
1. Solve the system of equations.
2y - 3z=0
x+3y = -4
3x + 4y = 3
Answers
Answer:
1. y = 3/2z
Step-by-step explanation:
1. ,2y-3z + 3z =0 + 3z ,2y=3z, 2y/2 =3z/2=3/2z
A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can't quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita? |x – 42.80| = 12
Answers
Answer:
|x - 42.80| = 12
Step-by-step explanation:
The absolute value |x - a| = b means either x - a = b or x - a = -b
Let x represent the amount of money in the afternoon after he has either paid her back or she has paid him.
Given that he has $42.80 in his wallet and he either borrowed $12 from his friend Rita or she borrowed $12 from him. Therefore:
x = 42.80 + 12; or x = 42.80 - 12
Hence:
x - 42.80 = 12; or x - 42.80 = -12
|x - 42.80| = 12
After Lou poured 2 liters of water into a large bucket, the bucket contained 10 liters of water. How many liters were in the bucket to start?
Answers
Answer:
8 liters
Step-by-step explanation:
because after pouring 2 liters bucket was full so we wiil minus 2 from 10
Answer:
8 + x = 10
x. = 10 - 8
x. = 2 liters
Slope-intercept form: write an equation from a graph
Answers
Answer:
Step-by-step explanation:
y = mx + b
m = slope
b = intercept
Juan needs to simplify the fraction LaTeX: \frac{32}{52}32 52. He will need to divide the numerator and the denominator by the greatest common factor. What is the greatest common factor of 32 and 52?
Answers
Answer:
4Step-by-step explanation:
Given the expression, 32/52
Juan need to divide the numerator and the denominator by the greatest common factor
For 32;
32 = 8 * 4
For 53
52 = 13 * 4
Find the ratio
32/52 = (8*4)/(13*4)
32/52 = 8/13
Since 4 is common to both factors, Hence the greatest common factor is 4
At a baseball game, a vender sold a combined total of 102 sodas and hot dogs. The number of sodas sold was 30 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold. Number of sodas sold: Number of hot dogs sold:
Answers
Answer: 132 hamburgers and 30 sodas
Step-by-step explanation:
x= Number of hamburgers
y= Number of sodas
1 x + 1 y = 102
1 x -1 y = 30
Eliminate y
Add the two equations
2 x = 132
/ 2
x = 66
plug value of x in (1)
1 x + 1 y = 102
132 + y = 102
y = 102 -132
y = 30
y = 30
x= 132 Number of hamburgers
y= 30 Number of sodas
Answer:
Hotdogs=36
Sodas=66
Step-by-step explanation:
X-Hotdogs
Y-Sodas
Y-30=X
Y+X=102
New equation: 102-X-30=X
Add X to both sides
102-30=2x
x=36
y=66
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
7
Step-by-step explanation:
Pythagorean Theorem:
25^2=24^2+x
625=576+x^2
49=x^2
x=sqrt49
x=7
Hope this helps!
Merry Christmas!
Answer:
By using the Pythagorean theorem we can solve this
The Pythagorean theorem states that [tex]c^2=a^2+b^2[/tex] where c is the hypotenuse (longest side of the right triangle) and a and b are the other 2 sides. LEts use x to represent the missing side
Therefore,
[tex]25^2=24^2+x^2[/tex]
[tex]625=576+x^2[/tex]
[tex]625-576=576-576+x^2[/tex]
[tex]49=x^2[/tex]
[tex]x=7[/tex]
Step-by-step explanation:
Two sides of a triangle measure 8 ft and 12 ft, respectively. The included angle is 65˚. Approximately how long is the third side of the triangle?
Answers
Answer:
Approximately 11 feet.
Step-by-step explanation:
Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C
⇒ [tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos[tex]65^{o}[/tex]
= 64 + 144 - 192 x 0.42262
= 208 - 81.143
= 126.857
x = [tex]\sqrt{126.857}[/tex]
= 11.2631
x ≅ 11
The length of the third side of the triangle is approximately 11 feet.
a student purchased 7 binders for a total of $8.61. Write an equation that can be used to find the cost of each binder,n, in dollars. What is the cost ,in dollars, of each binder?
Answers
Answer:
$1.23
Step-by-step explanation:
divide 8.61 by 7 binders to get the final answer of $1.23
What is the product of 7/10 and 3 2/3?
1 3/5
1 13/15
2 17/30
3 7/15
Answers
You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.
Answers
Answer:
5,000
Step-by-step explanation:
no interest♀️
Write 1 390 000 in standard form.
Answers
Rewrite the function by completing the square.
g(x)= x^2-x-6
g(x)- __(x+__)^2+___
Thanks :)
Answers
Step-by-step explanation:
g(x) = x²- x - 6g(x) = x²- 2*1*1/2x + (1/2)² - (1/2)²-6g(x) = (x - 1/2)² - 6 1/4org(x) = (x - 1/2)² - 25/4Answer:
[tex]g(x) = 1 (x+ -\frac{1}{2} )^{2} + -\frac{25}{4}[/tex]
935 = 85 x 11
Which statement does the equation represent?
O A 85 is 11 more than 935.
B. 935 is 85 more than 11.
OC. 935 is 85 times as many as 11.
D. 85 is 11 times as many as 935.
Answers
Answer:
since 85 times 11 is equal to 935 I'd say the answer to that is D
Step-by-step explanation:
Answer:
5x185=935
Step-by-step explanation:
who plays forza horizon 3
Answers
Answer:
I recently got it on my xbox
Step-by-step explanation:
I usually play with the family my name on xbox is wood
Answer:
me
Step-by-step explanation:
Express the following situation a a funstion: the population of a school is 800 and is decreasing at a rate of 2% per year
Answers
Answer:
400 is the answer
Step-by-step explanation: do the math
PLZ HELP
Sales tax is 7%. If c represents the retail cost of an item, which of the following expressions represent(s) the total cost of the item?
0.93 c
c - 0.07 c
1.07 c
0.07 c
c + 0.07 c
Answers
Answer:
The total cost of an item can be calculated by adding the sales tax to the retail cost:
c + .07cStep-by-step explanation:
Given that c represents the retail cost of an item.Sales tax = 7%
= 7/100
= 0.07
Total cost of an iten can be calculated by adding the sales tax to the retail cost.
i.e. c + .07c
Therefore, the total cost of an item can be calculated by adding the sales tax to the retail cost:
c + .07c HELP ILL GIVE YOU 50 POINTS IF SOMEONE HELPS ME What is the total area of the figure below?
28 ft
4 ft 6 ft
14 ft
2 11
A. 47 ft2
B. 52 ft2
C. 168 ft2
D. 402 ft2
Answers
Answer:
D: 402 ft squared
Step-by-step explanation:
Trapezoid: 4 + 6 over 2 multiplied by 2 equals 10
28 x 14 = 392
392 + 10 = 402
hopes this helps plz mark me brainliest
Autumn spent $32 of the $50 in her wallet. Which decimal represents the fraction of the $50 Autumn spent? please answer soon it's midnight and i need sleep
Answers
Answer:
0.64, she spent 64% of her money.
Step-by-step explanation:
Can someone please help with this question please I need help?!
Answers
Answer: B
Step-by-step explanation:
Each month, the person seems to grow taller. So, there IS a positive association between height and age.
is x=-2 linear or nonlinear
Answers
Answer:
non linear
Step-by-step explanation:
Answer: I'd say linear
Step-by-step explanation:Because it is a straight line vertically on the x-axis -2
What is the perimeter of △JKL? 6 9.5 11.5 19
Answers
Answer:
the awnser is 19
Step-by-step explanation:
i got it correct on edge2020