Answer:
1) by using a protractor
2) by finding a point
3) by extending the line of the angle until it reaches the other side of the field.
Step-by-step explanation:
There are different methods he can use to draw the angle on the other side of the yard, three of which are the following:
1) he can use a protractor to measure the angle he drew. That way he can go to the other side of the field and measure the same angle there. So then he can draw the angle in the new location.
2) He can draw a line on the given angle and find a point that passes through that line. Then he can draw a perpendicular line to the origin of the angle until it reaches the other side of the yard. This perpendicular line will cross the other side of the yard. This point where the line crosses the other side of the yard will be the new origin. With this new origin find the point again and draw a line that goes through the new origin and the new point he found.
3) Depending on the dimensions of the field, he can draw extend the line of the angle in such a way that it reaches the other side of the field. Then the angle will be on the other side. He can then use a square to move it around to where he wants it to be.
The lengths of the sides of a triangle are 3, 3, 3 square root two . Can the triangle be a right triangle? yes or no
Answer:
no
Step-by-step explanation:
It is an equal lateral triangle, a right triangle has a side that is longer then the others
Solve the quadratic equation by using a numeric approach. x squared + 1.1 x minus 2 = 0 a. x = 1.7 and x = -29.2 c. x = 2.3 and x = -22.2 b. x = 3.7 and x = 29.2 d. x = 1.9 and x = -22.2
Answer:
None of the options are correct, the correct answers are: x = 0.967 and -2.067
Step-by-step explanation:
[tex]x^2 + 1.1x - 2 = 0[/tex]
Comparing this equation with [tex]ax^2 + bx + c = 0[/tex]
a = 1, b = 1.1, c = -2
Using the almighty formula for solving quadratic equation:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a} \\x = \frac{-1.1 \pm \sqrt{1.1^2 - 4(1)(-2)} }{2(1)} \\x = \frac{-1.1 \pm \sqrt{1.1^2 - 4(1)(-2)} }{2(1)} \\x = \frac{-1.1 \pm 3.035 }{2}\\x_1 = \frac{-1.1 + 3.035 }{2} = 0.967\\x_2 = -\frac{-1.1 - 3.035 }{2} = -2.067[/tex]
Answer:
A on edge 2021. Just took practice quiz.
Step-by-step explanation:
x = 1.7 and x = -29.2
Factor 16a+72 to identify the equivalent expressions. choose 2 answers a.4(4a+18) b.8(2a+9) c.2(8+36a) d.2(8a+72)
help ASAP
Answer:
[tex] \boxed{\sf b. \ 8(2a + 9)} [/tex]
Step-by-step explanation:
[tex] \sf Factor \: the \: following: \\ \sf \implies 16a + 72 \\ \\ \sf Factor \: 8 \: out \: of \: 16a + 72: \\ \sf \implies 8 \times 2a + 8 \times 9 \\ \\ \sf \implies 8(2a + 9)[/tex]
work out the value of x and y in this diagram. All measurement are in centimeters
Answer:
X = 5
Y = 7
Step-by-step explanation:
First we will find x
4x + 2 = 3x + 7
x + 2 = + 7
x = 5
Next we will find y
2y + 9 = 4y - 5
-2y + 9 = -5
-2y = -14
y = 7
the length of each side of the ABCD EFGH cube is 6cm. If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE, determine the distance of point E to the PQR plane
Answer:
The distance is: [tex]\sqrt3\ cm\approx1,73\,cm[/tex]
Step-by-step explanation:
The distance of point E to the PQR plane it is the hight (vertical) of piramid PRQE
If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE than:
EP = EQ = ER = 0.5EF = 3 cm and m∠REQ = m∠QEP = m∠REP = 90° so triangles RQE, QPE and PRE are congruent.
RQ = QP = PR so triangle PQR is equilateral and from Pythagorean theorem (for ΔRQE):
[tex]RQ^2=ER^2+EQ^2=3^2+3^2=2\cdot3^2\ \ \implies\ \ RQ=3\sqrt2[/tex]
Then: [tex]RN=\dfrac{RQ\,\sqrt3}2[/tex]
and: [tex]RK=\dfrac23RN=\dfrac{RQ\,\sqrt3}3=\dfrac{3\sqrt2\cdot\,\sqrt3}3=\sqrt6[/tex]
Therefore from Pythagorean theorem (for ΔERK):
[tex]EK^2+RK^2=ER^2\\\\EK^2=ER^2-RK^2\\\\EK^2=3^2-(\sqrt6)^2\\\\EK^2=9-6=3\\\\EK=\sqrt3\ cm\approx1,73\,cm[/tex]
11. Which of the following lines is perpendicular to the line 3x-9y = 17?
A) 12x + y = 4
B) 9x - 3y = 11
C) 6x + 2y = 8
D) 3x - y = 5
Step-by-step explanation:
When using the equation of a line, one calculates the value of
y
in terms of
x
, say
y
=
m
x
+
c
, then
m
is the slope of the line and
c
is its intercept on
y
-axis.
As
3
x
−
9
y
=
15
can be written as
3
x
−
15
=
9
y
or
y
=
3
9
x
−
15
9
or
y
=
1
3
x
−
5
3
Hence slope of
3
x
−
9
y
=
15
is
1
3
Product of slopes of two perpendicular lines is
−
1
Hence, the slope of the line that is perpendicular to the line
3
x
−
9
y
=
15
is
−
1
1
3
=
−
1
×
3
1
=
−
3
graph{(3x-9y-15)(3x+y+5)=0 [-10, 10, -7.04, 2.96]}
Helps is needed
Malita wants to prove that the interior angles of any triangle sum to 180°. She draws a
line through one vertex parallel to the opposite side, and then she labels all the angles
formed.
Drag a statement to match each reason in Malita's two-column proof in the table
below.
Answer:
See explanations and diagram attached.
Step-by-step explanation:
1. angle 4 = angle 3, and angle 5 = angle 2 alternate interior angles with red line parallel to side opposite angle 1
3. angle 1 + angle 4 + angle 5 = 180 because these angles lie on a straight line.
Onyango is now three times as old as his daughter and four times as old as his son. Eight years from now, Onyango's age will be twelve years more than the sum of the ages of his son and daughter. Find their present ages.
Answer:
Onyango is 48, his daughter is 16 and his son is 12
Step-by-step explanation:
Let's call Onyango's age x, therefore his daughter and son's ages are 1/3 x and 1/4 x respectively. We can write:
x + 8 = 12 + (1/3x + 8 + 1/4x + 8)
x + 8 = 7/12x + 28
5/12x = 20
x = 48 → 1/3x = 48 / 3 = 16, 1/4x = 48 / 4 = 12
What pattern exists in the three places in each period?
356,039
I don't understand this
also
Use number names and numerals to write 900,000+60,000+3,000+100+4
Answer:
the pattern is (hundreds, tens, ones)963 thousand 104Step-by-step explanation:
a) Each place in our decimal place-value number system has a name. In the number 356,039, the left-most digit 3 is in the hundred-thousands place, so it is read (by itself) as "three hundred thousand." Together, the digits 356 of that number signify three hundred fifty-six thousand. They are said to be in the "thousands period." Each period of three digits will be grouped like that to specify the number of hundreds, tens, and ones in the period.
__
b) The given expanded form adds up to give ...
963,104
Based on the above discussion, the name of this number is ...
"nine hundred sixty-three thousand one hundred four"
Using digits to help write this, it would be 963 thousand 104.
PLZ HELP Which represents a quadratic function? f(x) = 2x3 + 2x2 – 4 f(x) = –7x2 – x + 2 f(x) = –3x + 2 f(x) = 0x2 + 3x – 3
Answer:
f(x) = -7x² - x + 2
Step-by-step explanation:
Quadratic functions are set up in the form ax² + bx + c. f(x) = 0x² + 3x -3 is also set up in this format but 0x² would simplify to 0 which means the equation is actually f(x) = 3x-3 and does not fit in the quadratic function format. The other equations are also not set up in ax² + bx + c.
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
A polynomial with degree 2 is called a quadratic equation.
The quadratic equation is in the form of ax² + bx + c.
The equation that represents a quadratic equation is
f(x) = -7x² - x + 2.
It is in the form of ax² + bx + c
Where a = -7, b = -1, and c = 2
Option B is the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
A polynomial with degree 2 is called a quadratic equation.
The quadratic equation is in the form of ax² + bx + c.
Now,
f(x) = 2x³ + 2x² - 4
This is not a quadratic equation since it has a degree of 3.
f(x) = -7x² - x + 2
This is a quadratic equation since its degree is 2.
It is in the form of ax² + bx + c
Where a = -7, b = -1 and c = 2
f(x) = -3x + 2
This is not a quadratic equation.
Its degree is 1.
f(x) = 0x² + 3x - 3
f(x) = 3x - 3
This is not a quadratic equation.
Thus,
The equation that represents a quadratic equation is
f(x) = -7x² - x + 2.
It is in the form of ax² + bx + c
Where a = -7, b = -1, and c = 2
Option B is the correct answer.
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Hi! Can I have some help on this math question...
Question C please!
Please explain it as I am very confused!
15 Points
- Thanks!
Answer:
β = 22.5°
Step-by-step explanation:
In a triangle, the sum of interior angles must add up to 180°.
Since the angle marked with corners is equal to 90°, we can write an equation to solve for β.
3β + β + 90° = 180°
4β = 180° - 90°
4β = 90°
β = 90° / 4
β = 22.5°
Answer:
T is equal to R
Hope this helps.....
the scale on the map is 1 cm represents 40 km . the actual straight line distance between 2 cities is about 320 km what is the map distance between these 2 cities
Answer:
8cm
Step-by-step explanation:
the ratio of cm to km is 1 cm on the map equals 40 km. or 1/40 so you have to find what is x/320 using the ratio of 1/40 you gt that x equals 8
Anita plans to cover a solid cone with construction paper for a science project. The cone has a diameter of 11 inches and a slant height of 28.5 inches. How many square inches of paper will she need to cover the entire cone? (Use 3.14 for Pi and round to the nearest hundredth. Recall the formula S A = pi r l + pi r squared.) 492.20 in.2 587.18 in.2 982.82 in.2 984..39 in.2
Answer:
587.18 in²
Step-by-step explanation:
In the above question, we are given the following values
Diameter = 11 inches
Radius = Diameter/2 = 11 inches/2 = 5.5 inches
Slant height = 28.5 inches.
We were asked to find how many square inches of paper will she need to cover the ENTIRE cone.
To solve for this, we would use formula for Total Surface Area of a Cone
Total Surface Area of a Cone = πrl + πr²
= πr(r + l)
Using 3.14 for π
Total Surface Area of a Cone
= 3.14 × 5.5( 5.5 + 28.5)
= 3.14 × 5.5 × (34)
= 587.18 in²
Therefore, Anita will need 587.18 square inches of paper to cover the entire cone.
Answer:
B
Step-by-step explanation: Just trust me bro
Michael is on page 28 of a 315-page book. He must finish the book within the next 14 days. He solved the inequality 28+ 14p = 315 He did not use the correct value as the coefficient of p and should have solved 14 + 28p <= 315
Answer:
yes you're right it is 14 + 28p = 315
Answer:
C
Step-by-step explanation:
I had this question edge 2021
what are the x intercepts of the graph of the function below y=x^2-2x-15
Answer:
(5, 0) and (-3, 0)
Step-by-step explanation:
To find the x-intercepts, let's set y = 0.
0 = x² - 2x - 15
0 = (x - 5)(x + 3) -- To factor x² - 2x - 15, we need to find 2 numbers with a sum of -2 and product of -15; these numbers are -5 and 3.
x - 5 = 0 or x + 3 = 0 -- Use ZPP (Zero Product Property)
x = 5, x = -3
Answer:
x = -3 and x = 5.
Step-by-step explanation:
y = x^2 - 2x - 15
y = (x - 5)(x + 3)
The x-intercepts occur when y = 0. In this case, it's when either (x - 5) = 0, or (x + 3) = 0.
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Hope this helps!
Can someone give me some help??
Answer:
OPtion B)
Step-by-step explanation:
Answer: Choice C)
y < (-1/5)x + 1
The boundary line is y = (-1/5)x+1 as it goes through the points shown. The boundary line is dashed or dotted, meaning that points on this boundary line are not in the solution set. So we will not have an "or equal to" as part of the inequality sign. More specifically, the inequality sign is "less than" because we shade below the boundary line. So that's how we end up with y < (-1/5)x+1.
Right triangle ABC is located at A (-1,-2), B(-1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius AC?
Olx + 1)2 + y + 2)2 = 9
O(x + 1)2 + (y + 2)2 = 25
OOX - 3)2 + y - 12 = 16
Ox - 3)2 + (y - 142 = 25
Answer:
(x +1)^2 + (y +2)^2 = 25
Step-by-step explanation:
A diagram of the given triangle shows you it has side lengths of 3 and 4, so the square of the hypotenuse is ...
(AC)^2 = (AB)^2 +(BC)^2 = 3^2 +4^2
(AC)^2 = 25
The center of the circle is at A(-1, -2), so the equation is ...
(x -h)^2 +(y -k)^2 = r^2
for the circle centered at (h, k) with radius r.
We know that the square of the radius (r^2) is 25, so we can write the equation as ...
(x +1)^2 +(y +2)^2 = 25
Answer:
(x + 1)2 + (y + 2)2 = 25
Step-by-step explanation:
Hope this helps :)
Sandra y Roberto, cada uno de ellos con una copia del libro, deciden que ellos pueden ganar tiempo "leyendo en equipo" la novela. En este esquema, Sandra leerá desde la página 1 hasta una cierta página y Roberto leerá desde la página siguiente hasta la pagina 760. Cuando ellos hayan terminado cada uno contará la parte que leyó al otro. ¿Cuál es la última página que Sandra debería leer de tal manera que ella y Roberto pasen la misma cantidad de tiempo leyendo la novela?
Answer:
La última página que Sandra deberá leer es la página 380.
Step-by-step explanation:
Sandra y Roberto tienen un libro de 760 páginas y se lo dividen, la pregunta es ¿Cuál es la última página que debería leer Sandra de tal manera que ella y Roberto pasen la misma cantidad de tiempo leyendo la novela?
Para que ambos pasen la misma cantidad de tiempo leyendo la novela, tendrían que dividirse el libro a la mitad, por lo que cada uno debería leer 760 ÷ 2 = 380 páginas.
Por lo que Sandra deberá leer de la página 1 a la 380 y Roberto leerá de la 381 a la 760.
Por lo tanto, la última página que Sandra deberá leer es la página 380.
Can someone help me with this please? Question and possible answers down below
Answer: D) CPCTC
Step-by-step explanation:
step 6 proves the triangles are congruent.
step 7 states that if the triangles are congruent, then parts of the triangle are congruent.
Congruent Parts of Congruent Triangles are Congruent (CPCTC)
if A = (-2, -4) and B = (-8, 4) what is the length of AB
Answer:
10Step-by-step explanation:
[tex]A = (-2, -4) \\ B = (-8, 4) \\ d = (\sqrt{( {x_2 - x_1})^{2} + ({y_2 - y_1})^{2} } [/tex]
[tex]x_1 = - 2 \\ y_1 = - 4 \\ x_2 = - 8 \\ y_2 = 4[/tex]
[tex]d = \sqrt{ {( - 8 - ( - 2)}^{2} + {(4 - ( - 4))}^{2} } \\ d= \sqrt{ {( - 6)}^{2} + {8}^{2} } \\ d = \sqrt{36 + 64} \\ [/tex]
[tex]d = \sqrt{100} \\ d = 10[/tex]
Answer:
10
Step-by-step explanation:
Evaluate 4 - 0.25g + 0.5h when g = 10 and h = 5
Answer:
4
Step-by-step explanation:
Well first we need to plug in 10 for g and h for 5.
4 - .25(10) + .5(5)
4 - 2.5. + 2.5
1.5 + 2.5
= 4
Thus,
the answer is 4
Hope this helps :)
Answer:
4
Step-by-step explanation:
We are given the expression:
4 - 0.25g + 0.5h
We know that g= 10 and h=5. Therefore, we can substitute 10 and 5 into the expression.
4-0.25(10)+0.5(5)
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
First, multiply 0.25 and 10
4-2.5+0.5(5)
Next, multiply 0.5 and 5
4-2.5+2.5
Next, subtract 2.5 from 4
1.5+2.5
Finally, add 1.5 and 2.5
4
4 - 0.25g + 0.5h when g=10 and h=5 is 4.
B. In each of the following questions, find the smallest number by which it should be multiplied to get
a perfect square. Find the square root of the perfect squares so obtained.
(a) 392
(b) 216
(c) 11.045
(d) 3,698 (e) 11,094
Answer:
a)19²=361
b)14²=196
c)3²=9
d)60²=3600
e)105²=11025
Step-by-step explanation:
I I don't know if this is correct sorry.
elogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD. A. 6 B. 16 C. 18 D. 32
Answer:
D
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, thus
DE = BE , substitute values
4y - 8 = y + 10 ( subtract y from both sides )
3y - 8 = 10 ( add 8 to both sides )
3y = 18 ( divide both sides by 3 )
y = 6
Thus
BD = y + 10 + 4y - 8 = 5y + 2 = 5(6) + 2 = 30 + 2 = 32 → D
(2.5×2.0)-4.3 please slove this question and how to explain
Answer:
0.7
Step-by-step explanation:
multiply 2.5 by 2 first
5-4.3=0.7
Solve by Cross multiplication method x+2y+1=0 and 2x-3y-12=0
Answer:
x = 3
y = -2
Step-by-step explanation:
x + 2y + 1 = 0
2x - 3y - 12 = 0
Multiply first equation by -2.
-2x + -4y + -2 = 0
2x - 3y - 12 = 0
Add equations.
0x + -7y - 14 = 0
Solve for y.
-7y = 14
y =-2
Put y as -2 in the first equation and solve for x.
x+2(-2)+1=0
x + -4 + 1 = 0
x = 0 + 4 - 1
x = 3
Answer:
[tex]\boxed{x = 3, y = -2}[/tex]
Step-by-step explanation:
[tex]x+2y +1 = 0[/tex]
=> [tex]x+2y = -1[/tex] -------------------(1)
[tex]2x-3y-12 = 0[/tex]
=> [tex]2x-3y = 12[/tex] -------------------(2)
Multiplying (1) by 2
=> [tex]2(x+2y) = 2(-1)[/tex]
=> [tex]2x+4y = -2[/tex] ------------------(3)
Subtracting (3) from (2)
=> [tex]2x-3y+2x-4y = 12+2[/tex]
=> -3y-4y = 14
=> -7y = 14
Dividing both sides by -7
=> y = -2
Now, Put y = -2 in Eq (1)
=> x+2(-2)+1 = 0
=> x -4+1 = 0
=> x - 3= 0
Adding 1 to both sides
=> x = 3
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
2
Step-by-step explanation:
In order to make the equation undefined, you should make the denominator 0. Remember that dividing anything by 0 will become undefined.
[tex]2x-4=0\\\frac{2x=4}{2} \\x=2[/tex]
Answer:
[tex]\boxed{x = 2}[/tex]
Step-by-step explanation:
A rational expression is undefined when Denominator = 0
Here Denominator = 2x-4
So,
=> 2x - 4 = 0
Adding 4 to both sides
=> 2x = 4
Dividing both sides by 2
=> x = 2
Rewrite the fraction without an exponent (7/8)^-2
I also got the answer 64/49.
:D
The fraction [tex](\frac{7}{8})^{-2}[/tex] without an exponent can be written as [tex]\frac{64}{49}[/tex].
To rewrite the fraction [tex](\frac{7}{8})^{-2}[/tex] without an exponent, we can apply the rule of reciprocals.
Reciprocal of a fraction a/b is given by b/a.
So, taking the reciprocal of [tex](\frac{7}{8})^{-2}[/tex] , we get:
[tex](\frac{7}{8})^{-2}[/tex] =[tex](\frac{8}{7})^{2}[/tex]
Now let us simplify the numerator and denominator:
[tex]=\frac{8\times 8}{7 \times 7}[/tex]
[tex]=\frac{64}{49}[/tex]
Therefore, [tex](\frac{7}{8})^{-2}[/tex] can be rewritten as [tex]\frac{64}{49}[/tex].
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Please help if you are correct you get brainlyest
Answer:
did you already try A???
Answer:
Probability : [tex]\frac{5}{33}[/tex]
Step-by-step explanation:
The probability of drawing an orange on the first attempt would be 5 / 12, considering that in this first attempt their are 5 oranges present out of a total of 12 fruits. Now after that fruit is chosen their are 4 out of 11 oranges present, such that the probability of drawing an orange on the second attempt would be 4 / 11.
Probability of choosing an orange on the first try : [tex]5 / 12[/tex]
Probability of choosing an orange on the second try : [tex]4 / 11[/tex]
Probability of selecting two oranges in a row ( blindfolded ) : [tex]5 / 12 * 4 / 11[/tex]
[tex]\frac{5}{12}\cdot \frac{4}{11}[/tex] ( cross cancel common factor 4 )
[tex]\frac{5}{3}\cdot \frac{1}{11}[/tex] ( multiply fractions )
[tex]\frac{5\cdot \:1}{3\cdot \:11}[/tex] = [tex]\frac{5}{3\cdot \:11}[/tex] = [tex]\frac{5}{33}[/tex] - the probability of selecting two oranges in a row blindfolded, is [tex]\frac{5}{33}[/tex].
Which number is the odd one out?
Answer:
8677
Notice that all the numbers in the sequence are divisible by 3 except 8677.
The sum of the digits must be divisible by 3.
8+6+7+7= 2+8 =10
10 isn't divisible by 3.
at an intersection, the red light light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0.25 minutes. Approximately what percent of red lights last between 2.5 and 3.5 minutes
Answer:
95.45%
Step-by-step explanation:
To go about this, what we do is to calculate the z-scores of the values in the range given.
Mathematically;
z-scores = (x-mean)/SD
Here in this case , mean is 3 and standard deviation is 0.25
So for 2.5 minutes, we have ;
z-score = (2.5-3)/0.25 = -0.5/0.25 = -2
For 3.5 minutes, we have;
z-score = (3.5-3)/0.25 = 0.5/0.25 = 2
The required probability we want to calculate according to the range is thus;
P(-2<z<2)
We can calculate this value by the use of the standard normal table
Mathematically, we can have the above as;
P(-2<z<2) = P(z<2) - P(z<-2)
We proceed using the table and we have the values as follows;
P(-2<z<2) = 0.97725 - 0.02275 = 0.9545
Now the value 0.9545 in percentage would be 95.45%