Answer:
[tex]{ \tt{ = 2\pi \: rh}} \\ = 2 \times 3.14 \times 12 \times 1 \\ = 75.4 \: {cm}^{2} [/tex]
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.
Step 1: –c = ax2 + bx
Which best explains or justifies Step 1?
subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication
Answer:
subtraction property of equality
Step-by-step explanation:
From the Standard form for quadratic equation, it is possible to see that step 1 represents the subtraction property of equality.
Quadratic function
The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0), the coefficient c is a constant and the degree of the function must be equal to 2.
From the Standard form: ax²+bx+c=0, it is possible to see that step 1:
–c = ax² + b represents the subtraction property of equality.
Read more about a quadratic function here:
brainly.com/question/1497716
Let x=−1−5i and y=5−i. Find x+y
Answer:
[tex]4-6i[/tex]
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify.
Pls answer it with explanation
Answer:
x=24 y=131
Step-by-step explanation:
it is right answer
Answer:
x = 24, y = 131
Step-by-step explanation:
The sum of the 3 angles in Δ ABC = 180°
Sum the 3 angles and equate to 180
72 + 35 + 25 + 2x = 180 , that is
2x + 132 = 180 ( subtract 132 from both sides )
2x = 48 ( divide both sides by 2 )
x = 48
--------------------------------------------
Similarly in the lower triangle
25 + x + y = 180
25 + 24 + y = 180
49 + y = 180 ( subtract 49 from both sides )
y = 131
What is 4 and 2/3 written as a radical?
Answer:
14/3
Step-by-step explanation:
4 and 2/3 = 4 2/3 = 4 + 2/3 = 4/1 + 2/3 = 12/3 + 2/3 = 14/3
Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.
Answer:
The two speeds are equal
Step-by-step explanation:
The speed is the distance divided by the time
100 meters / 9.75 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
200 meters / 19.5 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
The two speeds are equal
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
⠀Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds.⠀⠀⠀he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
Compare the speeds⠀⠀⠀⠀[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
⠀
we know that,
[tex]\boxed{\sf{speed=\dfrac{distance}{time}} }[/tex]
In the 100-meter race in the 2012 Olympics he takes 9.75 sec
speed=100/9.75speed =10.2564...speed=10.26BUTTT,
he ran the 200-meter race in 19.5 seconds.
speed=200/19.5speed=10.2564..speed=10.26According to the question,
we have to compare the speed
100-meter race in the 2012 Olympics he takes 9.75 sec=200-meter race in 19.5 seconds.10.26=10.26the speeds are equal⠀⠀⠀
[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
The two speeds are equal of Yohan Blake.
1. What is the difference between the arithmetic mean and geometric mean between 3 and 27 is
a) 15 b) 6 c) 12 d) o
Answer:
So I did my work so many times and I got 9 but I don't know Imaooo sry :)
Step-by-step explanation:
Which represents f(x)=g
Circle W has a radius of 20 in and right central angle, ZVWX. Find the length of vx. Leave your answer in terms of pi.
5
10
15
20
Answer:
The length of the arc is 10 pi
Step-by-step explanation:
Mathematically, the length of an arc is calculated as;
theta/360 * 2 * pi * r
theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)
r is the circle radius which is 20 inches
so we have the length of the arc as;
90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi
Simplify:
a.5³×5‐²×5⁴.
b.a⁴×a‐²×x³.
c.(x⁵)²×(y⁵)³
__________
(x³)³×(y²)²
Answer:
a. 125 * 0.04 * 625 = 5 * 625 = 3125
b. a^2 * x^3
c. x^10 * x^ y^15
Last one: x^9 * y^4
Step-by-step explanation:
Because yes.
Which statement is true? (Algebra ll) *URGENT*
Answer:
3rd statement is correct
Identify the coefficient, variable, and exponent of the monomial: 4y3
Answer:
The variable is y since it is a letter and is meant to hold value
The coefficient is 4 since in this equation 4 is multiplied by y
The exponent is 3 since it is after the variable
Hope This Helps!!!
Answer:
The coefficient is 4
The base and variable is y
The exponent is 3
Step-by-step explanation:
4y^3
The coefficient is 4
The base and variable is y
The exponent is 3
Read the text and answer the following questions:
1. Kolman shop was once a very rich town
True
False
2. The UFO buildings are a popular tourist attraction in Taipei.
True
False
3. Fordlandia became a problem because there was nowhere for the factory workers to live.
True
False
4. The Ford family sold Fordlandia for $20 million.
True
False
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
[tex]{hope it helps}}[/tex]
Which equation in slope-intercept form represents a line that passes through the point (5,−1) and is parallel to the line y=2x-7?
Answer:
y = 2x - 11
Step-by-step explanation:
y = 2x + b
-1 = 2(5) + b
-1 = 10 + b
-11 = b
In the picture shown below, what proportion would NOT give the correct value of x?
Answer: (c)
Step-by-step explanation:
In the given figure, two triangles are similar namely [tex]\triangle ABC[/tex] and [tex]\triangle ADB[/tex]
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of [tex]x[/tex] that is,
[tex]\Rightarrow x=\sqrt{81\times 45}\\\Rightarrow x=60.37[/tex]
Option (c) does not give the correct value of [tex]x[/tex]
Answer:
C
Step-by-step explanation:
In the given figure, two triangles are similar namely and
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of that is,
Option (c) does not give the correct value of
For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x, and explain how you know which Law to use. Then find angle x to the nearest tenth.
NOTE: The perimeter of ABC-31
Given:
The figure of a triangle.
The perimeter of the triangle ABC is 31.
To find:
The value of x in the given triangle.
Solution:
Three sides of the triangle ABC are AB, BC, AC are their measures are [tex]3b-4,2b+1,b+10[/tex] respectively.
The perimeter of the triangle ABC is 31.
[tex]AB+BC+AC=31[/tex]
[tex](3b-4)+(2b+1)+(b+10)=31[/tex]
[tex]6b+7=31[/tex]
Subtract 7 from both sides.
[tex]6b=31-7[/tex]
[tex]6b=24[/tex]
[tex]b=\dfrac{24}{6}[/tex]
[tex]b=4[/tex]
Now, the measures of the sides are:
[tex]AB=3b-4[/tex]
[tex]AB=3(4)-4[/tex]
[tex]AB=12-4[/tex]
[tex]AB=8[/tex]
[tex]BC=2b+1[/tex]
[tex]BC=2(4)+1[/tex]
[tex]BC=8+1[/tex]
[tex]BC=9[/tex]
And,
[tex]AC=b+10[/tex]
[tex]AC=4+10[/tex]
[tex]AC=14[/tex]
Using the law of cosines, we get
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
[tex]\cos A=\dfrac{(AC)^2+(AB)^2-(BC)^2}{2(AC)(AB)}[/tex]
[tex]\cos A=\dfrac{(14)^2+(8)^2-(9)^2}{2(14)(8)}[/tex]
[tex]\cos A=\dfrac{179}{224}[/tex]
Using calculator, we get
[tex]\cos A=0.7991[/tex]
[tex]A=\cos ^{-1}(0.7991)[/tex]
[tex]x=36.9558^\circ[/tex]
[tex]x\approx 37.0^\circ[/tex]
Therefore, the value of x is 37.0 degrees.
In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulas for the area of a triangle, such as half the base times the height. Use Heron's formula to find the area, in square feet, of ΔABC.
Options:
A)
7.385
B)
8.270
C)
6.495
D)
5.591
Answer:
C) [tex] 6.495\: ft^2 [/tex]
Step-by-step explanation:
a = 7 ft, b = 3 ft, c = 5 ft (Given)
Therefore, a + b + c = 7 + 3 + 5 = 15 ft
Let's calculate semi Perimeter of the triangle which is given by s
[tex] s =\frac{a+b+c}{2}=\frac{15}{2} = 7.5 \: ft[/tex]
Now, by Heron's formula, area of triangle ABC is given as:
[tex] A(\triangle ABC) =\sqrt{s(s-a) (s-b)(s-c)} [/tex]
[tex]\therefore A(\triangle ABC) =\sqrt{7.5(7.5-7) (7.5-3)(7.5-5)} [/tex]
[tex]\therefore A(\triangle ABC) =\sqrt{7.5(0.5) (4.5)(2.5)} [/tex]
[tex]\therefore A(\triangle ABC) =\sqrt{42.1875} [/tex]
[tex]\therefore A(\triangle ABC) =6.49519053 [/tex]
[tex]\therefore A(\triangle ABC) =6.495\: ft^2 [/tex]
A group of four golfers paid $210 to play a round of golf. Of the golfers, one is a member of the club and three are nonmembers. Another group of golfers consists of two members and one nonmember. They paid a total of $120. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?
In the graph increasing, decreasing, or constant?
Answer:
Step-by-step explanation:
slope>0 so graph is increasing.
a kid eat 5 sunscreen and sally eat seven sunscreen how much sunscreen was eat by both
Answer:
Both ate 12 sunscreens all together
5 + 7 = 12
Srsly tho, like who in their right mind eats sunscreen
A matrix derived from a system of linear equations (each written in standard form with the constant term on the right) is the ---Select--- matrix of the system.
Answer:
augmented
Step-by-step explanation:
In the field of linear algebra, the augmented matrix is defined as the matrix that is [tex]\text{obtained by appending}[/tex] the given columns of any two given matrices, that is usually for the [tex]\text{purpose of performing the same elementary row operations on each of the given matrices. }[/tex]
Here, each row forms an equation having a constant and the column have the coefficients for the single variable.
Thus an augmented matrix is obtained from a system of linear equation in matrix.
Students were asked to choose their favorite season. If 2/9 of the students
chose spring and 5/9 chose summer, what fraction chose either spring or
summer?
Answer:
7/9
Step-by-step explanation:
2/9+5/9=7/9
After 3 points have been added to every score in a sample, the mean is found to be M 5 83 and the standard deviation is s 5 8. What were the values for the mean and standard deviation for the original sample
Answer:
Hence the value for the mean is 80 and the standard deviation for the original sample is 8.
Step-by-step explanation:
Mean = 83-3 = 80.
Here the standard deviation didn't change = 8.
Consider quadrilateral EFGH.
Quadrilateral E F G H is shown. Sides F G and E H are parallel. Angles E and H are congruent. The length of E F is 4 n minus 4, the length of F G is 3 n + 3, and the length of G H is 2 n + 6.
What is the length of line segment GH?
5 units
7 units
16 units
24 units
Given:
In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H,EF=4n-4,FG=3n+3, GH=2n+6[/tex]
To find:
The length of segment GH.
Solution:
Draw a figure according to the given information as shown below.
In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H[/tex], it means the quadrilateral EFGH is an isosceles quadrilateral because base angles are equal.
Now, quadrilateral EFGH is an isosceles quadrilateral, so the sides EF and GH are equal.
[tex]EF=GH[/tex]
[tex]4n-4=2n+6[/tex]
[tex]4n-2n=4+6[/tex]
[tex]2n=10[/tex]
Divide both sides by 2.
[tex]n=\dfrac{10}{2}[/tex]
[tex]n=5[/tex]
Now,
[tex]GH=2n+6[/tex]
[tex]GH=2(5)+6[/tex]
[tex]GH=10+6[/tex]
[tex]GH=16[/tex]
Therefore, the correct option is C.
Answer:
the answer is C
Step-by-step explanation:
:]
Is the graph increasing, decreasing, or constant
the school is located 0.8 miles west of willows house the park is 1.5 miles north what is the distance between willows house and the park
Answer:
0.7
Step-by-step explanation:
1.5 - 0.8 = 0.7 :)) hope u get it right!!!
The distance between the school and the park will be 0.7 miles.
What is the distance?Distance is defined as the length between the two points just like in the question it is the length between the school and the park.
Given that:-
The school is located 0.8 miles west of willows house The park is 1.5 miles northThe distance will be calculated as:-
Distance = 1.5 - 0.8 = 0.7 miles
Therefore the distance between the school and the park will be 0.7 miles
To know more about distance follow
https://brainly.com/question/2854969
#SPJ2
Find the roots of the equation x^2 + 16 = 0.
Answer:
+4 and -4
Step-by-step explanation:
x² + 16=0
x=-√16
x=-4 or +4
I don’t know the answer so ignore the checked box
Answer:
CDHG
Step-by-step explanation:
Because you can go in that order and be able to get to the next letter. In the other option you cannot
[tex]find \: the \: volume \: of \: cylinder \\ \\ radius \: = 4 \: cm \\ \\ height \: = \: 10 \: cm \: \\ \\ [/tex]
How do I find question number 43
Answer:
[tex]8)79 + .3y |1| 5131x - 2884 \frac{ {8 - { { - 44 - {516}^{ |?| } }^{?} }^{?} }^{2} }{?} 5 - {1 {y {1 {40091 - \times \frac{?}{?} }^{?} }^{2} }^{2} }^{2} 444 = .3 = 547 - 274[/tex]
In the diagram, what is m NSR?
RU is a line which needs to equal 180 degrees. This means angle VSR + VSU needs to equal 180.
VSU = 100
VSR = 180 - 100 = 80
Answer: VSR = 80
Answer:
∠ VSR = 80°
Step-by-step explanation:
∠ VSR and ∠ VSU are adjacent angles and sum to 180° , then
∠ VSR + 100° = 180° ( subtract 100° from both sides )
∠ VSR = 80°