Answer:
3*sqrt13
Step-by-step explanation:
You search for hypotenuse
Squared hypotenusw is equal to 6^2+9^2= 36+81=117
Hypotenuse is equal to sqrt117= sqrt9*sqrt13= 3*sqrt13
Seventeen more than twice a number is -13. What is the number?
Answer:
-15
Step-by-step explanation:
17+2a=-13
2a=-30
a=-15
The sum of 10 and a number x
Answer:Complete the question pls
Step-by-step explanation:
Select the two values of x that are roots of this equation.
2x^2+ 1 = 5x
Answer:
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
Step-by-step explanation:
One is asked to find the root of the following equation:
[tex]2x^2+1=5x[/tex]
Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:
[tex]ax^2+bx+c=0[/tex]
Change the given equation using inverse operations,
[tex]2x^2+1=5x[/tex]
[tex]2x^2-5x+1=0[/tex]
The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
Simplify,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
[tex]\frac{5(+-)\sqrt{25-8}}{4}[/tex]
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
Rewrite,
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are labeled in alphabetical order going clockwise around the figure. If AB = 3 units and AD = 5 units, what is the length of B'C'? A. 5 units B. 9 units C. 11 units D. 3 units
Answer:5 units
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
how do you solve 11=t+11.5-t?
Equations are represented with the = sign. It means both sides of the equation are equal. [tex]11=t+11.5-t[/tex] has no solution
Given that:
[tex]11=t+11.5-t[/tex]
Start by collecting like terms
[tex]11-11.5=t-t[/tex]
Evaluate like terms
[tex]-0.5 = 0[/tex]
-0.5 is not equal to 0.
Hence, the equation has no solution
Read more about equations at:
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Need help as soon as possible pls!!!!!
Answer:
probability
Step-by-step explanation:
do some division to calculate the probality of landing on a blue 1/3 and add up the numbers.
my family uses 3 cartons of milk a day . how many cartons did we use in january
Answer:
93 cartons
Step-by-step explanation:
January-31
no of cartons-3 × 31=93
Suppose u and v are orthogonal vectors with ||u|| =5 ||u||= 1/2 ||v||, find ||u+v||.
help pleas I will give you 15 points
Answer: 5*sqrt(5)
This is the same as sqrt(125).
It approximates to roughly 11.1803
=========================================================
Explanation:
Vector u is 5 units long as indicated by the notation ||u|| = 5. Some math books would say |u| = 5, and it's the same thing. The double bars are probably more fitting because it helps emphasize we're looking for the length of a vector and we're not using absolute value bars.
The second equation ||u|| = (1/2)*||v|| can be rewritten into ||v|| = 2*||u|| telling us that vector v is twice as long compared to vector u. Since vector u is 5 units long, that must mean vector v is 10 units long.
vector u = 5 units longvector v = 10 units longThe two vectors are orthogonal, i.e. they are perpendicular. The vector u+v represents the diagonal of the rectangle as shown below in the attached image. Vector u is horizontal, v is vertical, and u+v is the diagonal. Technically we don't know where vector u is pointed along a compass (it may or may not be pointing directly east), but I find it's easier to have it set up like this. The answer will be the same regardless of where vector u is pointed. Rotations don't affect vector lengths.
We can see that vector u+v effectively breaks down component-wise into the horizontal component u and vertical component v (think of them as x and y components respectively).
Furthermore, note how there are two right triangles that form when we draw in the diagonal of the rectangle.
To find the length of vector u+v, we apply the pythagorean theorem.
a^2+b^2 = c^2
( ||u|| )^2 + ( ||v|| )^2 = ( ||u+v|| )^2
( 5 )^2 + ( 10 )^2 = x^2
25 + 100 = x^2
125 = x^2
x^2 = 125
x = sqrt(125)
x = sqrt(25*5)
x = sqrt(25)*sqrt(5)
x = 5*sqrt(5) is the length of vector u+v
In other words, ||u+v|| = 5*sqrt(5)
Keep in mind that this trick using the pythagorean theorem only works when vectors u and v are orthogonal. The process to find ||u+v|| for non-orthogonal vectors u,v is a bit more complicated.
wrie down the equation of the line that is parallel to 4x - 2y = 7 and passes through (9, -3)
Answer:
4x-2y =42 is the required equation
Step-by-step explanation:
given equation is,
4x-2y -7=0---------eqn1
parallel equation of given equation is
4x -2y+k =0-------eqn 2
now passing it through (9,-3), we get,
4×9 + 2×3 +k = 0
or,36+6+k =0
or,42+k =0
or, k= -42
putting the value of k in eqn2
4x-2y - 42=0
4x-2y = 42
im bad at math and i need help
Answer:
n•√n
here is an accurate representation
how are 1/4 of 12 and 12 divided by 4 related????
Answer:
they are related because both of the equation equal to 3
Angle sum theorem. What does y=?
Answer:
90 degrees
Step-by-step explanation:
The student looks up the word count on his favorite book, if the book has pages that are 5.5 in. x 6.5 in. and 59,540 words how many pages is the book? (This sentence and picture combine.)
Answer:
199 pages
Step-by-step explanation:
The average number of words on the page is 300. Because there are 59,540 words and 59540/300 = 198.46 (approximately), there are 199 pages in the book (because the 0.46 pages would be the last page).
Which of the following expressions has a value of 4? A. (16 – 12)2 B. – | – 4 | C. (96 ÷ 8) – 2 to the 3rd power D. 24 – 42
Answer:
A. (16-12)
Step-by-step explanation:
16-12
Answer
=4
4.
For which discriminant is the graph possible?
A. b2 – 4ac = 0
B. b2 – 4ac = 6
C. b2 – 4ac = –2
Answer:
A. b2 – 4ac = 0
Step-by-step explanation:
Hey user☺☺
Option a is correct
Because the graph has only one solution.
As the graph touches the x-axis at one point that means that it will have only one solution for x. But we know that a quadratic equation has two solutions. So the graph will have two equal solution and therefore the discriminant will be 0.
Hope this will help☺☺
Please help me with this question, and show working out.
===============================================================
Explanation:
If you used scissors to cut a vertical slice down the lampshade, then it can be unrolled to form a rectangle.
The horizontal portion of this rectangle is the distance around the circle, which is the perimeter of the circle, or the circumference. That's C = 2pi*r. Check out the diagram below to see what I mean.
The diagram shows that the diameter is 20 cm, so the radius is half that at 20/2 = 10 cm.
The circumference is C = 2*pi*r = 2*pi*10 = 20pi cm exactly
The height of the rectangle is the height of the cylinder, which is h = 30 as shown in the diagram.
The area of the rectangle is length*height = (20pi)*(30) = 600pi square cm exactly.
If we were to use something like pi = 3.14, then its approximate area is 600*pi = 600*3.14 = 1884 square cm
Let's bump this up by 10%. To do so, we'll multiply by 1.10
1.10*1884 = 2072.4
find the interest where principal (P) Rs 1400 time 2 years ,rate of interest (R) is 5%
Answer:
rs140
Step-by-step explanation:
I=P×T×R/100
1400×2×5/100
2800×5/100
14000/100
140
Step-by-step explanation:
Principle(p)= 1400
time= 2 year
rate= 5%
interest= p×t×r/100
= 1400×2×5/100
= 14000/100
=140
The circumference of a circular garden is 113.04 feet. What is the radius of the garden? Use 3.14 for pie and do not round your answer.
Answer:
18 ft
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
113.04 = 2 ( 3.14) * r
113.04 = 6.28 r
Divide each side by 6.28
113.04/6.28 = 6.28r/6.28
18 =r
rationalize the following
Step-by-step explanation:
[tex] \frac{1}{ \sqrt{2} + 1 } [/tex]
(On Rationalizing )
[tex] = \frac{1}{ \sqrt{2} + 1} \times \frac{ \sqrt{2} - 1}{ \sqrt{2} - 1 } [/tex]
[tex] = \frac{ \sqrt{2} - 1 }{( { \sqrt{2} )}^{2} - {(1)}^{2} } [/tex]
[tex] = \frac{ \sqrt{2} - 1}{2 - 1} [/tex]
[tex] = \frac{ \sqrt{2} - 1}{1} [/tex]
[tex] = \sqrt{2} - 1(ans)[/tex]
Explain what is the difference between radius
and circumference
Answer:
The circumference is the perimeter, specifically the perimeter of a circle. It can be solved by using the following formula:
C = 2πr
C stands for circumference.
π stands for pi, or 3.14 (rounded).
r stands for radius.
The radius is the distance from the center point of the circle to any point on the circle. It is denoted by the variable, r, as stated above. It is 1/2 of the diameter.
Answer:
the radius is the line from center to perimeter and circumference is the enclosed boundary
Step-by-step explanation:
radius- is any of the line segments from a circle or spheres center to its perimeter
circumference- the enclosed boundary a curved geometric figure, especially a circle
yancy made a 1:14 scale model airplane. the model airplane's tail is 5.7 inches long what is the length of the actual airplane tail its modeled after? round to two decimals
Scale factor used by Nancy for the model of an airplane = 1 : 14
Length of the tail of the airplane = 5.7 inches
Scale factor is defined by the expression,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
By substituting the dimension of the model in the expression,
[tex]\frac{1}{14}=\frac{5.7}{\text{Dimension of the original}}[/tex]
Dimension of the original plane = 14 × 5.7
= 79.80 inches
Therefore, length of the tail of the actual airplane will be 79.80 inches.
Learn more,
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Length of Actual airplane's tail is 79.8 inches or 6.65 ft
Given:
Scale model sample = 1 : 14
Length of model airplane's tail = 5.7 inches
Find:
Length of Actual airplane's tail
Computation:
Length of Actual airplane's tail = Length of model airplane's tail × Scale model sample
Length of Actual airplane's tail = 5.7 × 14
Length of Actual airplane's tail = 79.8 inches
Length of Actual airplane's tail = 79.8 inches or 6.65 ft
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A new cars salesperson, sold an average of $32,130 per day for the first 4 days she worked. The next 5 days she worked, she sold an average of $31,173. How much did she sell on average per day over the entire time she worked??
Answer:
$31,598.33
Step-by-step explanation:
she worked 4+5=9 days.
due the total average we need the total of sales and divide it by the length of the observation period (9 days).
how much did she sell in total on the first 4 days ?
well, the average times 4 = 32130×4 = $128520
how much did she sell in total during the following 5 days ?
31173×5 = $155865
so, the daily average is
($128520 + $155865) / 9 =$284385 / 9 = $31,598.33
Efetue as divisões indicadas.
a. 3,6 : 1,5
b. 42:0,21
c. 200:0,5
Answer:
a)
[tex] \frac{3.6}{1.5} = \frac{36}{15} = 2.4[/tex]
b)
[tex] \frac{42}{0.21} = \frac{4200}{21} = 200[/tex]
c)
[tex] \frac{200}{0.5} = \frac{2000}{5} = 400[/tex]
I hope I helped you^_^
Eliana made cookies. She used 8 12 of a cup of flour and 6 12 of a cup of sugar. How much more flour than sugar did Eliana use?
Answer:
2/12 the answer
2. sale price $1,089
sales tax rate: 6.25%
Answer:
0.0625
Step-by-step explanation:
The area of a rectangle is 0.8 square units. The length is 3.2 units and the width is x units.
What is the value of x?
x=0.25
x=2.4
x=2.56
x=4
Pls help meeeehhhh I will give brainliesttttt :D
(8+4)to the second power +(18÷3)
Answer:
150
Step-by-step explanation:
(8+4)^2 + (18/3)
12^2 + (18/3) First Evaluate (8+4)^2 and divide 18 by 3
144 + 6 Add
=150 <--- And 150 is your final answer :)
Side Note: When using powers it is the number times itself a certain amount of times. That is why we multiply 12 * 12.
Which statement compares the numbers correctly 23.811 > twenty-three and eight hundred eleven thousandths Twenty-three and eight hundred eleven thousandths > 23.811 Twenty-three and eight hundred eleven thousandths < 23.811 Twenty-three and eight hundred eleven thousandths = 23.811
Answer:
The correct answer is A.
Step-by-step explanation:
the quotient of 5+h and n+3
Answer:
5+h/n+3
Step-by-step explanation:
5+h is numerator
and n+3 is denominator
so you make it a fraction to get the quotient which is 5+h/n+3
Write another way to group the factor (3×2)×5 then find the product
Answer:
30
Step-by-step explanation:
Another way to group the factor would be 3(2×5)
2 times 5 is 10 and then 10 times 3 is 30 so therefore, your answer is 30
