Given Isosceles Trapezoid TRAP, if mP=98, find mT
Answer:
∠ T = 82°
Step-by-step explanation:
In a Isosceles trapezoid, any lower base angle is supplementary to any upper base angle , so
∠ T + ∠ P = 180°
∠ T + 98° = 180° ( subtract 98° from both sides )
∠ T = 82°
The poll report includes a table titled, "Americans Using Cash Now Versus Five Years Ago, by Age." The age intervals are
not equal. Why do you think the Gallup organization chose the age intervals of 23-34, 35-54, and 55+ to display these
results?
Answer:
These are the entervals of the people who are atleast adults and are mature enough to take the surevy seriosly and answer correctly
Step-by-step explanation:
Help on this pls if you don’t mind
Answer:
(B) 3
Step-by-step explanation:
Remember that a parallel lines always have the same slope!
Is there a way to solve this without l'hopital's rule?
The conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule,
How to solve the limit expression?The limit expression is given as:
[tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex]
The limit of the expression cannot be solved without l'hopital's rule, because a direct substitution of ∞ for x would result in the following expression ∞/∞
i.e.
[tex]\lim_{x \to \infty} \frac{6 (2^{\infty}) - 1}{5(\infty)^2+ 10} = \frac{\infty}{\infty}[/tex]
So, the best way is to apply the l'hopital's rule.
This is done as follows:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \lim_{x \to \infty} \frac{f'(x)}{g'(x)}[/tex]
When the numerator and the denominator are differentiated, we have:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln(2)\cdot 2^{x + 1}}{10x}[/tex]
Further, differentiate
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{x + 1}}{10}[/tex]
Now, we can substitute [tex]\infty[/tex] for x
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{\infty + 1}}{10}[/tex]
Evaluate the numerator
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{\infty}{10}[/tex]
Evaluate the quotient
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \infty[/tex]
Hence, the conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule
Read more about l'hopital's rule at:
https://brainly.com/question/2095652
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15. In a school, the ratio of boys and girls is 4:5, when 100 girls leave the school, the ratio becomes 6:7. How many boys are there in the school
Step-by-step explanation:
the ratio of boys and girls is equal to 4:5
let the number of boys be x
and the number of girls be y
so form 1st statement
x:y=4:5
now 2nd statements
x:y-100=6:7
Therefore solving equations 1 and 2
x=1200
y=1500
In a basketball game, Noli scored 3 points by shooting the ball at a horizontal distance of 7 feet from the 10-feet-high hoop. Noli threw the ball 6 feet above the ground and the ball went twice as high as its initial horizontal distance from the hoop. What was the horizontal distance of the ball from Noli when it reached its maximum height?
Answer:
The horizontal distance of the ball from Noli when it reached maximum height is approximately 4.1 feet
Step-by-step explanation:
The horizontal distance from the hoop at which Noli threw the ball, y₀ = 7 feet
The height of the hoop = 10 feet
The height from which the ball was thrown = 6 feet
The height to which the ball is thrown = 2 × The initial horizontal distance from the hoop
∴ The height to which the ball is thrown, [tex]y_{max}[/tex] = 2 × 7 feet = 14 feet
The coordinates of points on the path of the ball are;
(0, 6), (7, 10), (x, 14)
The projectile in vertex form is y = a·(x - h)² + k
Where;
(h, k) = The x, and y-coordinate of the maximum height
The y-coordinate of the maximum height reached = k = 14 feet
The x-coordinate of the maximum height = h = The horizontal distance of the ball from Noli when it reached maximum height
At y = 6, x = 0, therefore, we get;
6 = a·(0 - h)² + 14 = a·h² + 14
6 = a·h² + 14
a = -8/h²
At y = 10, x = 7, we get;
10 = a·(7 - h)² + 14 = (-8/h²)·(7 - h)² + 14
10·h² = -8·(7 - h)² + 14·h²
-4·h² = -8·(7 - h)²
4·h² - 8·(7 - h)² = 0
-4·h² + 112·h - 392 = 0
h = (-112 ± √(112² - 4 × (-4) × (-392)))/(2 × -4)
h ≈ 4.1, or h ≈ 23.9
We reject the value, h ≈ 23.9 feet given that the distance between the where the Noli threw the ball and the hoop = 7 feet
Therefore, the horizontal distance of the ball from Noli at which the ball reached its maximum height, h ≈ 4.1 feet
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
B
Step-by-step explanation:
2 units to the right -> -2 in the brackets next to x
4 units down -> -4 as a constant at the end of the equation
9)Using appropriate properties , find 7
5
×
5
12
−
3
12
×
7
5
−
1
15
Answer:
-20940
Step-by-step explanation:
5 x 512 - 312 x 75 - 115
According to BODMAS ,
2575 - 23400 - 115
= -2090
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]
at what rate of interest the sum of Rs 4000 amount to rs 6000 in 4 years
interest=4000
amount =6000
time =4yr
principal =6000-4000
=2000
interest=principal×time×rate/100
4000= 2000×4×r/100
4000=8000×r/100
r=8000-4000/100
r=2000/100
r=20
Answer:
12.5 %
Step-by-step explanation:
I = PRT
I is the interest, P is the Principle, R is the Rate and T is the time
The interest is 6000- 4000 = 2000
2000 = 4000* R *4
2000 = 16000R
Divide each side by 16000
2000/16000 = R
.125 = R
Changing to percent form
12.5 %
2.
Lucy shares 42 marbles between her and her 6 friends. How many does each child?
f(x)=-5x-4 and g(x)= -3x-2, find (f-g)(x)
Answer:
Step-by-step explanation:
(-5x-4)-(-3x-2)
-5x-4+3x+2
-2x-2
-2(x+1)
Maya express charges 15 dollar for each person and great holiday charges fixed 84dollar and extra 12 dollar for a person. If the total amount charged by each company is same find the number of people going on holiday
Step-by-step explanation:
15 dollar for each
15*70*12
then 84*70
total amount. the above
Answer:
:>
Step-by-step explanation:
15 dollar for each
15*70*12
then 84*70
total amount. the above
18. If the ratio of males to females in each
of two different mathematics classes
is 5 to 4, is the ratio of males to
females still 5 to 4 if the classes were
considered as one large class instead
of two smaller classes?
Ra
Answer:
Yes, the ratio is still 5:4.
Step-by-step explanation:
If you have a class of 5 males and 4 females, both numbers can be multiplied to get an even bigger class but the same ratio.
For example:
5 x 5 = 25 males
4 x 5 = 20 females
The amount of males to females is 25:20 when simplified (divided by 5) gets you back to your ratio of 5:4. You also can't go under this because the two don't have a way to get simplified without going into decimals. And I don't think decimals are very good with the number of students.
Have a good day! :)
4. What is the volume of the pyramid?
7 ft
9 ft
10 ft
Which of the following is a geometric sequence?
ES EL PUNTO A. RPBHCGNDGE
HELP PLEASE
i would really appreciate if someone answered this correctly!
Answer:
n-32
Step-by-step explanation:
edmentum
is -66 rational or irrational ?
Answer:
It's rational because it's not a decimal numbet
Find the distance between points (a,b) and Q -a,-b)
Answer:
d = 2* sqrt(a^2 + b^2)
Step-by-step explanation:
Interesting question. You should begin by noting that 0 is not the answer although it looks like it should be.
P = (a,b)
Q= (-a,-b)
x1 = a
x2 = - a
y1 = b
y2 = - b
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
d = sqrt( (-a - a)^2 + (-b - b)^2 )
d = sqrt ( -2a)^2 + - (2b)^2 )
d = sqrt(4a^2 + 4b^3)
d = 2* sqrt(a^2 + b^2)
Find the amount and the compound interest on rupees 5000 for 2 years at 6% per annum, Interest payable yearly. Answer with full steps and formula NO BAD ANSWERS REQUIRED :D
Answer:
I. Amount = 5618 Rupees
II. Compound interest = 618 Rupees
Step-by-step explanation:
Given the following data;Principal = 5000 RupeesTime = 2 yearsInterest rate = 6%To find the compound interest;
Mathematically, compound interest is calculated using the formula;
A = P(1 + r)^t
Where;
A is the future value.P is the principal or starting amount.r is annual interest rate.t is the number of years for the compound interest.Substituting into the formula, we have;
A = 5000(1 + 0.06)^2
A = 5000(1.06)^2
A = 5000 * 1.1236
A = 5618 Rupees
Next, we would determine the compound interest using the formula;
C.I = A - P
C.I = 5618 - 5000
Compound interest (C.I) = 618 Rupees
Can someone please help me with this I don't understand take your time if you can explain it
Please help me with these two Algebra problem. Thanks
Problem 1:
If two half planes never intersect, then their system of inequalities has no solution. True or False?
Problem 2:
If the boundary lines of two half planes are parallel, then they have no solution area. True or False?
Please answer as quick as possible and please answer as
Example:
True, because . . . .
Thanks again!!
Step-by-step explanation:
First, a half plane can be defined as one side of a line, e.g. x < y-3.
1: True. A solution to two half planes is where the two half planes intersect. If they never intersect, then there literally cannot be a solution.
2: False. Take, for example, y=x and y=x+1. These two lines are parallel because in the equation y=mx+b, m represents the slope, and in these two lines, x is multiplied by 1, so both lines have the same slope and are therefore parallel. Then, take two boundary planes -- y > x and y>x+1. If we graph this out (see picture), the planes clearly intersect when y>x+1. The solution is where the planes intersect, so there is a solution area
please answer correctly and i will give 10 extra points
Answer:
I believe the answer would be 48.6 milliliters
Step-by-step explanation:
54 * 0.9 = 48.6
Which point should Julio use to determine the amount of pizza sauce he needs to bring?
A
B
C
D
On a coordinate plane, a graph titled Pizza Recipe has Pizzas on the x-axis and Cups of Pizza Sauce on the y-axis. Point A is (3, 2), point B is (4, 2.6), point C is (4.5, 3), point D is (6, 4).
Answer:
The question is incomplete, but after a small search I've found that the complete question is something like:
To celebrate something, a teacher will make pizzas for the class.
There are 30 students in his class and each pizza serves 8
Julio will bring the pizza sauce. Which point should Julio use to determine the amount of pizza sauce he needs to bring?
In a graph, the vertical axis is represented with the variable y, which is defined as the dependent variable, while the horizontal axis represents the variable x, which is the independent variable.
The notation for a point in that graph is (x, y)
Here, we know that the x-axis represents the number of pizzas, and the y-axis represents the number of cups of pizza sauce needed for the x pizzas.
So, for example, the point (3, 2) means that:
for x = 3 pizzas, you need y = 2 cups of pizza sauce.
So, now let's find the number of pizzas that will feed the whole class.
There are 30 students, Each pizza serves for 8.
Then the number of pizzas needed is:
30/8 = 3.75 pizzas.
But we can round it to 4 pizzas because making a 0.75 of a pizza does not make a lot of sense.
Then we could use point B, which is (4, 2.6)
This means that, for 4 pizzas, they need 2.6 cups of pizza sauce.
So Julio should bring 2.6 cups of pizza sauce.
Which point should Julio use to determine the amount of pizza sauce he needs to bring?
(B 4,26)
Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ 25 đơn vị thì số thứ nhất sẽ bằng 2/3 số thứ 2
Trả lời:
86 và 91
Giải thích từng bước:
Cho hai số là x và y. Nếu tổng của chúng là 177, thì;
x + y = 177 ... 1
Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17
Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25
Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:
x-17 = 2/3 (y + 25) .... 2
Từ 1, x = 177-y ... 3
Thay thế 3 thành 2
177-y-17 = 2/3 (y + 25)
160-y = 2/3 (y + 25)
3 (160-y) = 2 (y + 25)
480-3y = 2y + 50
-3y-2y = 50-480
-5y = -430
y = 430/5
y = 86
Vì x = 177-y
x = 177-86
x = 91
Do đó hai số là 86 và 91
Can you find the area of the figure?
Answer:
Below
Step-by-step explanation:
First I found the area of the triangle on the right
A = bh/2
A = (9)(4.5) / 2
A = 20.25 ft^2
Next, the area of the rectangle in the middle
A = lw
A = (7.5)(9)
A = 67.5 ft^2
And now the area of the right triangle on the left
A = bh/2
A = (5)(9) / 2
A = 22.5 ft^2
Add em all up : 20.25 + 67.5 + 22.5 = 110.25 ft^2
Hope this helps!
which value of -7(x2-6)+2y when x=2 and y=6
Answer:
Solution
= -7 (x2 -6) +2y
= -7 ( 2*2 - 6 ) + 2 * 6
= -7 ( 4 - 6) + 12
= -7 - 2 + 12
= - 9 + 12
= 3
I hope this help u :)
Choose the inequality that represents the following graph.
Answer:
it's most most probably option d becoz I studied In different way so... as per me d ... figure is quite diff but d
What is 9.4582 rounded to 1?
Answer I think the answer is 9 if you round off to the nearest ones,in this case you are rounding off to 9 which will still be 9 because 4 is less than 5.
I hope this helps
8c + 2(6 - 3c) - 7
How do I simplify this pls help
Answer:
2c+5
Step-by-step explanation:
Answer:
7c
Step-by-step explanation:
You do PEMDAS.
6-3c is 3c.
so itd be 8c + 2(3c) - 7
then id multiply 3c with 2 so its be6c.
then id add 6c with 8c, and its be 14c. then i subtract it with 7 and get 7c.
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
y = -2x + 5
[tex]\frac{risex}{run} = slope =[/tex]Δy/Δx = -8/4 = -2
Step-by-step explanation: