Answers
Answer: x=0.25
Step-by-step explanation: 1−8x=−16x2
Simplify both sides of the equation.
−8x+1=−16x2
Subtract -16x^2 from both sides.
−8x+1−−16x2=−16x2−−16x2
16x2−8x+1=0
16x2+−8x+1=0
Use quadratic formula with a=16, b=-8, c=1.
x=
−b±√b2−4ac
2a
x=
−(−8)±√(−8)2−4(16)(1)
2(16)
x=
8±√0
32
x=0.25
Related Questions
The base of an isosceles triangle is 16 cm long. The equal sides are each 22 cm long. Find the height of the triangle.
Answers
Given:
The base of an isosceles triangle is 16 cm long.
The equal sides are each 22 cm long.
To find:
The height of the triangle.
Solution:
We know that the altitude of an isosceles triangle divides the base into two equal parts as shown in the below figure.
According to the Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Using Pythagoras theorem, we get
[tex]22^2=h^2+8^2[/tex]
[tex]484=h^2+64[/tex]
[tex]484-64=h^2[/tex]
[tex]420=h^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{420}=h[/tex] (Because side cannot be negative)
[tex]2\sqrt{105}=h[/tex]
Therefore, the height of the isosceles triangle is [tex]2\sqrt{105}[/tex] cm. Approximate height is 20.49 cm.
PLEASE HELP ITS DUE SOON! WILL GIVE BRAINLIST!!
Answers
A car factory made 30 cars with a sunroof and 9 cars without a sunroof. What is the ratio of
the number of cars with a sunroof to the total number of cars?
Answers
Answer:
30:9
Step-by-step explanation:
Ben is making waffles for his 3 friends. The recipe calls for cup of bleached 2/3 flour and 1/4 cup of wheat flour. What is the total amount of flour Ben needs to make the waffles?
Answers
Answer:
2 3/4 cups of flour
Step-by-step explanation:
If Ben makes waffles for three friend then the recipe needs to be multiplied by three. First I would find the common denominator of 2 / 3 and 1/ 4. Then, I would add them together to get the answer of 11/12. After that, multiply the amount of times you are making the recipe (3). Then simplify
if a translation has a coordinate notation of (x,y) --> (x+1,y-3) then what is the image of (4,-4)
Answers
Answer:
(5, - 7 )
Step-by-step explanation:
A translation rule of
(x, y ) → (x + 1, y - 3 )
means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate, that is
(4, - 4 ) → (4 + 1, - 4 - 3 ) → (5, - 7 )
pls help ! tysm!!!!!!!!!!
Answers
Answer:
332
Step-by-step explanation:
332
What is the length of the hypotenuse triangle below?
Answers
Answer:
A (25)
Step-by-step explanation:
Pythagorean Theorm
[tex]7^{2} +24^{2} =x^{2}[/tex]
Please vote brainliest!!!
what two numbers add to -18 and multiply to -81
Please help
Answers
Answer:
Thats kinda not possible but -9 and -9 makes -18 but it would multiply to positive 81 i don;t know
Step-by-step explanation:
What is the mean of this data: 23, 37, 11, 58, 13, 45
Answers
Step-by-step explanation:
Mean= Sumof all the numbers/ number of data
So,
23+37+11+58+13+45=187
Now...
187/6=31.166666667 Answer
hope it helps....
What is the mean of this data: 23, 37, 11, 58, 13, 45.
Solution:-To find the mean of this data, first of all we should add up all the given numbers and then divide by how many numbers there are.
So, [tex] \bf Mean \: = \frac{23 \: + \: 37 \: + \: 11 \: + \: 58 \: + \: 13 \: + \: 45}{6} [/tex]
[tex] \bf Mean \: = \frac{187}{6} [/tex]
[tex] \bf Mean \: = \: 31.17 [/tex]
The mean of this data is 31.17. [Answer]6 x 2/3 ??? yeah ik its not helping
Answers
Answer:
6 * 2/3 = 12/3 = 4
Step-by-step explanation.
you can think about it like this: 6 * 1/3 * 2
1/3 of 6 is 2 because 2 * 3 is 6
2 * 2 is 4, therefore the correct answer is 4
remember doing 6 * 2/3 is the same as doing 6/1 * 2/3 if that helps
how many £7.50 is there in £217.5?
Answers
Answer:
29
Step-by-step explanation:
217.5÷7.50=29
............ur welcome...............
PLSSSSSSSSSSSSSSSSS HELLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPP SOMEEEEEEEEEEEONNNNEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
20 x 5 x 10 = 1,000
4 x 5 x 1 = 20
1,000 divided by 20 = 50
Which measurement is equivalent to 84 inches?
A.8 feet
B. 1 yard, 2 feet, 24 inches
C. 7 feet, 4 inches
D. 4 feet, 40 inches
Answers
Answer: A
Step-by-step explanation:
Answer: B. 1 yard, 2 feet, 24 inches
Step-by-step explanation: 1 yard is 36 inches. Each feet is 12 inches, but there are 2 feet so 12 times 2 is 24 inches. And the last is just 24 inches. So, 36 + 24 + 24 = 84 inches
A coffee blender mixes two types of coffee. Type A costs $13 per kg and type B costs
$18 per kg. How many grams of each type of coffee should be blended so that 1 kg costs $15?
Answers
i dont understand this.
Answers
Answer: J
Step-by-step explanation:
I have 10 fish but 3 drown how many are left HURRY
Answers
there are still 10 fish.
100 POINTS!!! SHOW ALL WORK PLZ!!! Tarah bought 42 shares of a company’s stock for $16.45 / share. She pays a broker a commission of $7 to buy and
sell stock. After one year, Tarah sold all her shares, when they were worth $20.64 / share.
How much did it cost Tarah to buy the stock? Show your work.
What was Tarah’s net gain or loss? Show your work.
What was Tarah’s annual rate of return? Show your work, make answer a % and then round to tenths place.
Answers
Answer:
`a) $697.90
b) $161.98 gain
c) 23.2096% annual return rate
Step-by-step explanation:
a) $16.45 for one share. 42 shares will cost 16.45 x 42 = $690.90
As she used a broker and paid $7, the total cost for Tarah would be $697.90
b) After the investment, Tarah's gain is $20.64 per stock and she had bought 42. So the total income would be 20.64 x 42 = $866.88. However, she used a broker to sell the stocks as well, so the total gain would only be 859.88.
Overall, the cost was -697.90+859.88 = 161.98 net gain.
c) The rate of return would be the percentage of the original price of stocks that is equal to the net gain. What we are trying to find here is:
What percentage of 697.90 is 161.98?
We can find this percentage by doing a simple division (161.98/697.90) which gives us an answer of 0.232096
In percentages, multiply this decimal by 100 to get a 23.2096% annual return.
I hope I am correct, but some of the vocabularies may have messed up my answers. Hope it helps!
Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
10
24
Answers
Answer:
26
Step-by-step explanation:
Use the Pythagorean Theorem.
c^2 = a^2 + b^2
a = 10
b = 24
c = ?
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
sqrt(c^2) = sqrt(676)
c = 26
Please answer correctly! I will mark you as Brainliest!
Answers
Answer:
Volume=8
Step-by-step explanation:
[tex]volume[/tex]⇒[tex]\frac{1}{3}[/tex]×[tex](\frac{1}{2}[/tex]×[tex]3[/tex]×[tex]4^{2}[/tex]×[tex]4)[/tex]
⇒[tex]\frac{1}{3}[/tex]×[tex]3[/tex]×[tex]8[/tex]
[tex]Answer:8[/tex]
hope it helps...
have a great day!!!
Which of the following is NOT a Pythagorean triplet?
A. 20.30.40
B. 7 24 25
C. 15 20 25
D. 3 4 5
Answers
Triangle STU is rotated 270 clockwise about the origin to create triangle S'T'U'. If point U of triangle STU is a (a,b), which algebraic representation best describes point U' of triangle S'T'U'?
Answers
Answer:
(b, -a)
Step-by-step explanation:
First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)
Note that the coordinates were swapped and the x coordinates negated. Similarly;
Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will be (b, -a)
draw the line of reflection that reflect quadrilateral ABCD onto quadrilateral A'B'C'D
Answers
Answer:
-3 across the x
Step-by-step explanation:
negative 3 is in the middle of the two, both between point -1 and -5, and point 0 and -6.
When a shape is reflected, it must be reflected over a line. The line of reflection of quadrilateral ABCD onto quadrilateral A'B'C'D is [tex]y = -3[/tex]
From the given graph, we have the following observations
ABCD was flipped over to form A'B'C'D'The line of reflection is between both shapesUsing points C and C' as reference;
We have:
[tex]C = (-3,-1)[/tex]
[tex]C' = (-3,-5)[/tex]
Notice that both points have the same x-coordinate
This means that the line of reflection is parallel to the x-axis, and it passes through the y-axis.
The point at which it passes through the y-axis is calculated using mid-point formula.
So, we have:
[tex]y = \frac{y_1 + y_2}{2}[/tex]
[tex]y = \frac{-1-5}{2}[/tex]
[tex]y = \frac{-6}{2}[/tex]
[tex]y = -3[/tex]
Hence, the line of reflection is [tex]y = -3[/tex]
See attachment for the line of reflection
Read more about reflections at:
brainly.com/question/17983440
A wooden board is leaning against a wall. The base of the board is 10 feet from the base of the wall. The base of the board forms a 35° angle with the ground.
What is the length of the wooden board?
Round your answer to nearest tenth.
Answers
Answer:
The length of the wooden board is about 12.2 feet.
Step-by-step explanation:
Please refer to the diagram attached below.
The base of the board forms a 35° degree angle with the ground.
And we want to find the length of the wooden board.
Since we are given an angle and its adjacent length and we want to find the hypotenuse, we can use the cosine ratio:
[tex]\displaystyle \cos(\theta^\circ)=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]
The adjacent side is the distance from the wall to the board, which is 10 feet.
And the angle made is 35°.
The hypotenuse is the length of the wooden board. Therefore:
[tex]\displaystyle \cos(35)=\frac{10}{\ell}[/tex]
Solve for the length. Cross-multiply:
[tex]\displaystyle 10=\ell \cos(35)[/tex]
Therefore:
[tex]\displaystyle \ell=\frac{10}{\cos(35)}\approx12.2[/tex]
The length of the wooden board is about 12.2 feet.
A fish is ascending at a
rate of 0.74 feet per
second. What is the
change in the location of
the fish after 22 seconds?
Answers
Answer:
he will have ascended 16.28 ft
Step-by-step explanation:
.74x22=16.28
Using the table, find the average rate of change over the following intervals. I will give brainliest!!
Answers
Answer:
[tex]-4[/tex]
Step-by-step explanation:
The formula for average rate of change (AROC) is: [tex]\frac{f(b)-f(a)}{b-a}[/tex]
[tex]\frac{f(2)-f(0)}{2-0}[/tex] ⇒ [tex]\frac{-3-5}{2-0} =-4[/tex]
A cylinder has a base diameter of 10cm and a height of 7cm. What is its volume in cubic cm, to the nearest tenths place?
Answers
Answer:
volume = 549.5 cm³
Step-by-step explanation:
base area m= πr² = (3.14)(5²) = 78.5 cm²
volume = base area x height = 78.5 x 7 = 549.5 cm³
Answer:
549.5 cm3
Step-by-step explanation:
Do I need to flip my sign? 3x = -12
Answers
Answer:
no
Step-by-step explanation:
3x=-12
/3 /3
x=-4
:)
Helen draws a random circle.
She then measures its diameter and circumference.
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of it using the formula n =
1 =
Calculate the lower bound and upper bound for Helen's value of .
Give your answers correct to 3 decimal places.
Answers
Answer:
lower bound: 2.996
upper bound: 3.244
Step-by-step explanation:
The value that Helen wants to use is Pi = C/D. The lower bound value is 3.065, and the upper bound for Helen's value is 3.165.
What is circumference?The circumference is the perimeter of the circle.
Given, the circumference, C, at 405 mm to three significant numbers.
She correctly estimates the diameter, d, to be 130 mm to two significant numbers.
Helen wants to find the value of Pi using the formula pi=C/D
We have, the circumference of the circle = C = 405 mm
The diameter of the circle = d = 130 mm
Pi = C/D
= 405 mm / 130 mm
= 405 / 130
= 3.115
3.115, measured to the nearest 0.1.
The degree of accuracy is nearest 0.1.
0.1/2 = 0.05
Upper bound = 3.115 + 0.05 = 3.165
Lower bound = 3.115 - 0.05 = 3.065
Therefore, the lower bound and upper bound for Helen's value are 3.165, and 3.065.
To learn more about circumference, refer to the below link:
https://brainly.com/question/14717074
#SPJ5
The equation of a circle is x2 + y2 - 12y + 20 = 0
What are the coordinates of the center and the length of the radius of the circle?
Answers
Answer:
Center: (0, 6); radius = 4
Step-by-step explanation:
x^2 + y^2 - 12y + 20 = 0
We must complete the square in y.
x^2 + y^2 - 12y = -20
x^2 + y^2 - 12y + 36 = -20 + 36
x^2 + (y - 6)^2 = 16
(x - 0)^2 + (y - 6)^2 = 4^2
Center: (0, 6); radius = 4
Solve the problem. Round to the nearest cent.
Brad wants to have available to buy a car in 5 years. How much must he deposit now at compounded monthly to reach that goal?
Group of answer choices
$22,366.96
$12,395.17
$22,905.95
$12,920.84
Answers
Answer:
$10,857.8
Step-by-step explanation:
Brad wants to have $17000 available to buy a car in 5 years. How much should he deposit now at 9% compounded monthly to reach that goal?
A = p(1 + r/n)^nt
P = A / (1 + r/n)^nt
P = 17000 / (1 + 0.09/12)^(12*5)
= 17,0000 / (1 + 0.0075)^60
= 17,000 / (1.0075)^60
= 17,000 / 1.5657
= 10,857.8
P = $10,857.8