Answer:
[tex]x=8.5^o[/tex]
Step-by-step explanation:
Notice that since segments AB and DE are parallel, then angles [tex]\angle A[/tex] and [tex]\angle E[/tex] must be equal since they are alternate angles in between parallel lines.
So, [tex]\angle E = 50^o[/tex]. We also know that [tex]\angle C = 45^o[/tex], then the remaining angle ([tex]\angle D[/tex]) in triangle CDE must be such that added to the other two angles results in [tex]180^o[/tex]. That is:
[tex]\angle D = 180^o-\angle C-\angle E\\\angle D = 180^o-45^o-50^o\\\angle D= 85^o[/tex]
Now, since angle D equals 10 times x, we can solve for the unknown x in the equation:
[tex]\angle D=10\,x\\85^o=10\,x\\x=\frac{85^o}{10}\\\\x=8.5^o[/tex]
Sharon drops a rubber ball from a height of 48 feet. Every bounce sends the
ball half as high as it was before.
What is the total vertical (up and down) distance the ball has traveled, from
the moment it is dropped to the moment it hits the floor for the fourth time?
(Do not include units in your answer.)
Answer:
132
Step-by-step explanation:
48 first hit and rises 24
24 second and rises 12
12 third hit and rises 6
6 forth hit
48+24+24+12+12+6+6= 132
After the 4th hit the total distance up and down covered by the ball will be 90 feet.
Why the ball is bouncing back less and less distance upward after every drop ?
Some of the kinetic energy of the ball has been transferred by the ball to the ground after each drop also when it is in the process of going upwards force of gravity is working on the opposite direction which is downwards.
There are other factors too ask your physics teacher if you are more curious.
According to the given question
First time it has been dropped from a height of 48 feet as at every bounce it bounces back half of it's value it will go up to 24 feet repeating this process of bouncing back for the fourth time
It will be (48 + 24 + 12 + 6) = 90 feet
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please help me with this
Answer:
3 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
3/4 + (1/3÷ 1/6 - (-1/2)=
3/4 + 2 - (-1/2)=
2 3/4 - (-1/2)=
3 1/4
hope it helps mark me as brainliest
equation of a line pass through origin in called
The equation of a straight line with gradient m passing through the origin is:
[tex]\displaystyle y=mx[/tex]
The line passes through the origin, so the y-intercept is [tex]0[/tex]
[tex]\displaystyle y=mx+b[/tex]
[tex]\displaystyle y=mx+0[/tex]
[tex]\displaystyle y=mx[/tex]
1) Kris buys new softball equipment for $1,500 The purchase made is with a credit card that has a 20% APR. Kris makes a $100 payment monthly. How many months will it take Kris to pay off the balance?
Answer:
18 months
Step-by-step explanation:
20/100=0.2 Apr
0.2 multiply 1500=300
300+1500=1800 divide 100=18
18 months
Solve the equation 21 + x = 26
Answer:
x = 26 - 21 = 5
Answer:
x=5
Step-by-step explanation: Subtract 21 from both sides. x = 5.
Simplify the following expression.
4 - (x - 3)
Answer:
4 - (x - 3) = - x + 7
Step-by-step explanation:
Which is the most efficient way to solve this equation?
+4=17
Subtract 4
from both sides because that will result in an equivalent equation with
alone on one side.
Subtract 17
from both sides of the equation so all terms will be on the same side of the equal sign.
Nothing, because the equation is already solved.
Add 4
to 17
because
equals 21
Answer:
Which is the most efficient way to solve this equation?
+4=17
Subtract 4
from both sides because that will result in an equivalent equation with
alone on one side.
Subtract 17
from both sides of the equation so all terms will be on the same side of the equal sign.
Nothing, because the equation is already solved.
Add 4
to 17
because
equals 21.
Step-by-step explanation:
MARK ME AS THE BRAINIEST
Every summer Kendra plants a vegetable garden in her yard last year she planted six rows of tomatoes eight rows of peppers Kendra wants to keep the same ratio this year but she only plants to plant three roasted tomatoes how many rows of peppers well Kendra plant this year
Answer: Ratio's 3:5
Step-by-step explanation:
Ratio of last year 6:8 Now this year since she wants to only plant 3 rows of tomatoes there would be five rows of tomatoes cuz ur taking away three rows form each typa veggie so the new ratio is now 3:5
((Hope it Helps))
Question 1
In this hanger, the weight of the triangle is x and the weight of the square is y.
a. Write an equation using x and y to represent the hanger.
B. If x is 6, what is y ?
Answer:
a. -3x = -2y
When x=6, y=9
Step-by-step explanation:
From the hanger, There are two sides
If x=triangle and y=square
First side has 1 triangle and 3 squares
It can be represented by
x+3y
Second side has 4 triangles and 1 square
It can be represented by
4x+y
Equate the first and second side
x+3y=4x+y
Collect like terms
x+3y-4x-y=0
-3x+2y=0
-3x=-2y
Find y when x=6
-3(6)=-2y
-18=-2y
Divide both sides by -2
-18/-2=-2y/-2
9=y
y=9
The value of y when x = 6 is 9
Given that the weight of the triangle is x and the weight of the square is y.
For the hanger at the left, the resulting equation will be:
x + 3y (1 triangle and 3 square)
For the right-hand side
4x + y (4 triangles and 1 square)
Equating both expressions
x + 3y = 4x + y
x - 4x = -2y
-3x = -2y
3x = 2y
If x = 6, hence;
3(6) = 2y
2y = 18
y = 9
Hence the value of y when x = 6 is 9
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A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest?
Answer:
One end of the ladder rests at 8 feet on the wall.
Step-by-step explanation:
In the figure attached,
AC is a ladder 10 feet long leaning against the wall.
Distance of it's one end from the wall = 6 feet
Let the ladder rests on the wall at the height = h feet
By applying Pythagoras theorem in ΔABC,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
(10)² = h² + 6²
h² = 100 - 36
h = √64
h = 8 feet
Therefore, one end of the ladder rests at 8 feet on the wall.
Find the value of x in the triangle shown below.
Answer: 50
Step-by-step explanation:
180-80 = 100
100 divided by 2 = 50
X=50
Factor: b2-3b-4
Multiplying Quadratics—Box Method
Hey there! :)
Answer:
(b - 4)(b + 1)
Step-by-step explanation:
b² - 3b - 4
Factor by determining which numbers add up to -3 and multiply to equal -4.
-4 + 1 = -3
-4 × 1 = -4
Therefore, in factored form, the equation would be:
(b -4)(b + 1)
Blake used b blocks to build a bridge. Bridget used 6 more than 3 times as many blocks as Blake did to build a bridge. Which expression represents how many blocks Bridget used?
A) b+(3x6)
B) b+3+6
C) 3(b+6)
D) 3b+6
Answer:
c
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Three times is 3 x b + 6
Roger has 3.10 consisting of quarters dimes and nickles. The number of nickles was 3 less than the number of dimes. The number of dimes was 5 more than the number of quarters. How many coins of each type did he use?
Please help me, thank you very much!! <3
Answer:
5 dimes 2 nickels 10 quarters
Step-by-step explanation:
Let n = number of nickels
d = number of dimes
q = number of quarters
n = d - 3 (The number of nickles was 3 less than the number of dimes)
d= q - 5 (The number of dimes was 5 more than the number of quarters)
0.05n + 0.1d + 0.25q = 3.1
Use substitution:
n=q-8
0.05n + 0.1d + 0.25q = 3.1
0.05(q-8) + 0.1(q-5) + 0.25q = 3.1
0.05q-.4 + 0.1q -.5 +0.25q = 3.1
0.4q-0.9=3.1
0.4q=4
q = 10
n =q-8 n = 10-8 n=2
d=q - 5 d = 10-5 d = 5
The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid.
Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger
pyramid?
9/16
3/4
4/3
16/9
Answer:9/16
Step-by-step explanation:
Since we know it's 3/4 use
r=(3/4)² .... [tex](\frac{3}{4} x\frac{3}{4} )[/tex] =[tex]\frac{9}{16}[/tex]
Nathan bought 2 sandwiches and a beverage. each sandwich cost 4.75 and the beverage cost 1.29. how much change does Nathan get back if he pays with a 20 bill
Answer:
9.21
Step-by-step explanation:
Answer:
Nathan has 9.21 change if he pays a 20 bill.
Step-by-step explanation:
The opposite of the original statement. These statements are also called the inverse of a conditional statement.
Answer:
Negation is the correct answer to the given question
Step-by-step explanation:
The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .
For example :
F: Number is 5.
~F: Number is not 5.
Conditional statement Negation(~)
True False
False True
All the other option are not determine the inverse of the conditional statement so these are incorrect option .
which of the following rational functions is graphed below?
Answer:
B.
Step-by-step explanation:
According to the graph the function is defined for all real number except -3 and 7 (where the two red dashed vertical lines cross the x-axis)
so our function should be :
[tex]\frac{1}{(x-(-3))(x-7)} =\frac{1}{(x+3)(x-7)}[/tex]
Find the perimeter of the following shape:
A. 10.8
B. 11
C. 11.4
D. 11.6
Answer:
A: 10.8
Step-by-step explanation:
AD = BC
AB = DC
2AD + 2AB
AD = ±[tex]\sqrt{3^2+1^2}[/tex] ≈ ±3.1622
AD ≈ 3.1622
AB = ±[tex]\sqrt{2^2+1^2}[/tex] ≈ ±2.236
AB ≈ 2.236
2AD + 2AB = 2*3.1622 + 2*2.236 ≈ 10.79 ≈ 10.8
Help please I need the answer
____________________________________
Hey!!
Solution,
Diameter (d)=17 cm
Radius(r)=17/2=8.5 cm
Circumference of circle=?
Now,
Circumference of circle=2 pi r
=2*3.14*8.5
=53.38 cm
The right answer is 53.4cm
Hope it helps
Good luck on your assignment
_________________________________
Which excerpt best displays the function of narrative structure in Monster? The best time to cry is at night, when the lights are out and someone is screaming for help. The guy who was hit they made sit at the table while they waited for another guard to bring them rubber gloves. Sometimes the camera moves in so close that you can’t tell what is going on and you guys listen to the sounds and guess. I think to get used to this I will have to give up what I think is real and take up something else.
Answer:
I think to get used to this I will have to give up what I think is real and take up something else.
Explanation:
The crime novel Monster by Walter Dean Myers tells the story from the point of view of the prime protagonist Steve Harmon through his diary form of writing about his life in prison. Though there is also the omniscient third-person narrator at times, the narration mostly takes place through the voice of Steve Harmon.
The narrative structure of any plot of a story is the order or manner in which the narration of the story takes place/ is done. It may include character, plot, conflict, setting and resolution. And in this particular text/ novel, the function of the narrative structure is best displayed in the line spoken by Harmon, "I think to get used to this I will have to give up what I think is real and take up something else".
Answer:
I think to get used to this I will have to give up what I think is real and take up something else.
Step-by-step explanation:
According to the general equation for conditional probability, if P(AuB)=3/7
and P(B) =7/8
what is P(AB)?
Answer: P(AB) = 3/8
Step-by-step explanation:
You simply multiply P(AuB) by P(B)
3/7 * 7/8 = 3/8
Answer:
24/49
Step-by-step explanation:
I took the quizz
Haley and her 4 friends decide to go out to dinner at Applebee's. The bill for their table came to $65.30. If they want to split
the bill evenly between them, how much will each person pay?
Answer:
$13.06
Step-by-step explanation:
There are five people so 65.30/5 = 13.06
Is this a scalene triangle if not what?
Answer:
Yes
Step-by-step explanation:
the triangle is scalene because all of the side lengths have different measurements
_______________________________
Yes, it is a scalene triangle.
We can say it is a scalene triangle because none of the sides are equal in the given figure.
Hope it helps..
Good luck on your assignment
____________________________
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
(40/3)*pi
Step-by-step explanation:
lets first find the area of the little circle
A=pi*r^2
A=pi*3^2
A=9pi
Now, lets find the area of the big circle
A=pi*r^2
A=pi*(3+4)^2
A=pi*7^2
A=49pi
now lets subtract the area of the little circle from the area of the big circle
49pi-9pi=40pi, now we found the area of the "bagel)
lets find what portion of the bagel is the shaded region
120/360=1/3
now lets multiply the bagel area by the fraction
40pi*(1/3)=
(40/3)*pi or (40*pi)/3
Area of the shaded regions is equal to 7π/3
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: radius of the smaller circle= 3 and larger circle =4 cm
Now A = (θ/360°) × πr2
θ is the sector angle subtended by the arcs at the center (in degrees), r is the radius of the circle. If the subtended angle θ is in radians, the area is given by, A = 1/2 × r² × θ.
Thus we have Area ADBC= 1/2 × 16×2π/3 -1/2×9×2π/3
=16π/3 -3π
=7π/3
Hence, Area of the shaded regions is equal to 7π/3
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Given the information in the diagram, which theorem best
justifies why lines e and f must be parallel?
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem
Answer:
its D
Step-by-step explanation:
Just did the test. Goodluck
Answer:
d
Step-by-step explanation:
Factor to find the zeros of the function k(x) = x2+ 10x - 200.
Answer: x=10, x=-20
Step-by-step explanation:
To find the zeros of the function, we will have to factor the function.
k(x)=x²+10x-200
k(x)=(x-10)(x+20)
Now that we have factored the equation, we set the equation eaul to 0 to find the zeros.
0=(x-10)(x+20)
x-10=0
x=10
x+20=0
x=-20
Answer:
Solve the rational equation by combining expressions and isolating the variable
v
v
.
v
=
x
k
+
10
k
−
200
k
x
Step-by-step explanation:
Help! Look at the picture
Answer:
171 square ft
Step-by-step explanation:
Area of side walk of the pool = Are of outer square - Area of inner square
[tex] = {30}^{2} - {27}^{2} \\ = (30 + 27)(30 - 27) \\ = 57 \times 3 \\ = 171 \: {ft}^{2} [/tex]
A restaurant bill is $27.50. If the sales tax is 7.5% and a 20% tip is added, what is the total cost of the meal?
(PLEASE ANSWER ASAP)
Answer:
35.06
Step-by-step explanation:
So you have to multiply 27.50 by 0.075 to find the sales tax.
2.0625 ≈ 2.06
If the tip is off the original price, you multiply 27.50 by 0.2.
5.5
The whole meal is 27.50 + 5.50 + 2.06 = 35.06
Total cost of meal is $35.06.
What is percentage?A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Given that,
The bill amount = $27.50
tax amount = 7.5%
tip amount = 20%
Now 7.5 % of bill amount
= 27.50x 7.5/100
= 27.50 x 0.075
=2.0625
≈ 2.06
Now 20% of bill amount is
= 27.50 x 20/100
= 27.50x0.2
= 5.5
Now,
The total cost
= 27.50 + 5.50 + 2.06
= 35.06
Hence $35.06 is the total cost.
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Hi All,
I have some Maths Questions for you all to have a look at.
Please answer - I am giving 20 points!
I will mark Brainliest as well.
Take care,
Jake
Answer:
The modal is 6 and the median is 6
Step-by-step explanation: