Answer:
125
Step-by-step explanation:
Add all the angles then subtract by 360.
Answer:
Vp-by-step explanation:
abby owns a square plot of land. she knows that the area of the plot is between 2200 and 2400 square meters. which of the following answers is a possible value for the side length of the plot of land?
Answer:
48
Step-by-step explanation:
The formula for the area of a square is A = s². Plug in each value and see if is in between 2200 and 2400.
A = s²
A = (46)²
A = 2116
A = s²
A = (48)²
A = 2304
A = s²
A = (50)²
A = 2500
A = s²
A = (44)²
A = 1936
The only value that fits in between 220 and 2400 is 48.
Un lote con forma cuadrada tiene una superficie de LaTeX: \sqrt{\frac{4225}{16}\:\:\:\:m^2}\:\:\:\:\:. Si el dueño del lote quiere colocar 3 hileras de alambres alrededor del terreno, ¿cuantos metros necesitará?
Answer:
The owner needs 195 meters of wire
Step-by-step explanation:
If the lot is squared shaped, then its area is given by the formula:
[tex]Area =x^2[/tex]
where x is the side of the square. Then considering the value they provide for the surface, each side must be of length:
[tex]x^2=\frac{4225}{16} \,m^2\\x=\sqrt{\frac{4225}{16}} \,\,m\\x=16.25\,\,m[/tex]
Then the perimeter around this square lot is four times that side length:
Perimeter = 4 (16.25 m) = 65 m
and since the owner wants three rows of wire, the total length of wire needed is:
3 (65 m) = 195 m
In a school, 25% of the teachers teach basic math. If there are 50 basic math teachers, how many teachers are there in a school?
Answer:
200 teachers
Step-by-step explanation:
If 25% is a fourth of the teacher staff, and this value is fifty, to find out how many teachers there are you just have to multiply by 4 to find out the 100%. So this means that 50*4= 200
Answer:
Total teachers = 200
Step-by-step explanation:
Let x be the total teachers in school
Basic Maths teachers = 25 % of x
Basic Maths Teachers = 50
=> 25% of x = 50
=> [tex]\frac{25}{100} x = 50[/tex]
=> [tex]\frac{x}{4} = 50[/tex]
Multiplying both sides by 4
=> x = 200
What is the simplified form of y^2+7y+12/y^2-2y-15? Choices:
Answer:
[tex] \frac{y + 4}{y - 5} [/tex]Option C is the correct option
Step-by-step explanation:
[tex] \frac{ {y}^{2} + 7y + 12}{ {y}^{2} - 2y - 15 } [/tex]
Write 7y as a sum
[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} - 2y - 15} [/tex]
Write -2y as a difference
[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} + 3y - 5y - 15} [/tex]
Factor out y from the expression
[tex] \frac{y(y + 4) + 3y + 12}{ {y}^{2} + 3y - 5y - 15 } [/tex]
Factor out 3 from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{ {y}^{2} + 3y - 5y - 15 } [/tex]
factor out y from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5y - 15} [/tex]
Factor out -5 from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5( y + 3)} [/tex]
factor out y + 4 from the expression
[tex] \frac{(y + 4)(y + 3)}{y(y + 3) - 5(y + 3)} [/tex]
Factor out y + 3 from the expression
[tex] \frac{(y + 4)(y + 3)}{(y + 3)(y - 5)} [/tex]
Reduce the fraction with y + 3
[tex] \frac{y + 4}{y - 5} [/tex]Hope this helps..
Best regards!!
find the value. 2x-5 when x=5/2
Answer:
0Step-by-step explanation:
Given,
x = [tex] \frac{5}{2} [/tex]
Now, let's find the value of 2x - 5
[tex]2x - 5[/tex]
plug the value of x
[tex] = 2 \times \frac{5}{2} - 5[/tex]
Reduce the number with Greatest Common Factor 2
[tex] = 5 - 5[/tex]
The sum of two opposites equals 0
[tex] = 0[/tex]
Hope this helps..
best regards!!
Answer:
0
Step-by-step explanation:
x=5/2
therefore
2(5/2)-5=10/2-5
=5-5(since 10/2=5)
=0
The main triangular sail on a sailboat is 25 feet tall and 10 feet wide at the bottom. If the sides of another sail are proportional to the main sail, and the bottom of this sail is 8 feet wide, how tall is it?
Answer:
20 feetStep-by-step explanation:
Here,,
Sides of two sail are proportional.
Let the height be 'x'
Now,
[tex] \frac{a1}{b1} = \frac{a2}{b2} [/tex]
plug the values
[tex] \frac{25}{10} = \frac{x}{8} [/tex]
Apply cross product property
[tex]10x = 25 \times 8[/tex]
Multiply the numbers
[tex]10x = 200[/tex]
Divide both sides of the equation by 10
[tex] \frac{10x}{10} = \frac{200}{10} [/tex]
Calculate
[tex]x = 20 \: ft[/tex]
Hope this helps...
Best regards!!
Answer:
20
Step-by-step explanation:
Which expression is equivalent to x^2 • x^3?
Answer:
x^5
Step-by-step explanation:
x^2 . x^3
x^(2+3)
x^5
Find the volume of the cuboid which length is 10cm, breadth is 8cm and height is 7cm. Who answers first gets brainliest answer
Answer:
560cm
Step-by-step explanation:
Volume = Length × Breadth × Height
= 10 × 8 × 7
= 560 cm³
Answer:
Step-by-step explanation:
Volume =length x breadth x height
10 x 8 x 7=560cm^3
The table shows the number of flowers in four bouquets and the total cost of each bouquet. A 2-column table with 4 rows. The first column is labeled number of flowers in the bouquet with entries 8, 12, 6, 20. The second column is labeled total cost (in dollars) with entries 12, 40, 15, 20. What is the correlation coefficient for the data in the table? –0.57 –0.28 0.28 0.57
Answer:
The correct option is;
0.28
Step-by-step explanation:
The given data values are;
x, f(x)
8, 12
12, 40
6, 15
20, 20
Where;
x = The number of flowers in the bouquet
f(x) = The total cost (in dollars)
The equation for linear regression is of the form, Y = a + bX
The formula for the intercept, a, and the slope, b, are;
[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]
[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]
Where:
N = 4
∑XY = 1066
∑X = 46
∑Y = 87
∑X² = 644
(∑X)² = 2116
b = (4*1066 - 46*87)/(4*644 - 2116) = 0.5696
a = (87 - 0.5696*46)/4 = 15.1996
The standard deviation of the x- values
[tex]S_X = \sqrt{\dfrac{\sum (x_i - \mu)^2}{N} }[/tex]
[tex]\sum (x_i - \mu)^2}[/tex] = 115
N = 4
Sx =√(115/4)
Sx = 5.36
[tex]S_Y = \sqrt{\dfrac{\sum (y_i - \mu_y)^2}{N} }[/tex]
[tex]\sum (y_i - \mu_y)^2}[/tex] = 476.75
N = 4
Sy =√(476.75/4)
Sy= 10.92
b = r × Sy/Sx
Where:
r = The correlation coefficient
r = b × Sx/Sy = 0.5696*5.36/10.92 = 0.2796 ≈ 0.28
The correct option is 0.28.
Answer:
C on edge
Step-by-step explanation:
How many 5-digit palindromes contain only even digits?
Answer:
400
Step-by-step explanation:
There are 400.
Assuming the number must be at least 10,000, then:
In a 5 digit palindrome, the first and last digits must be the same, and the second and fourth digits must be the same; and:
For the first and last digit there is a choice of 4 digits {2, 4, 6, 8};
For each of these there is a choice of 10 digits {0, 1, ..., 9} for the second and fourth digits;
For each of the above choices these is a choice of 10 digits {0, 1, ..., 9} for the third digit;
Making 4 x 10 x 10 = 400 possible even 5 digit palindromes.
PLEASE HELP ME GUYS Consider adjacent angles that measure (2x + 45)° and (3x + 55)°. The sum of the measures of these two angles is 135°. Write and solve and equation to find the value of x and the measure of the two angles.
Answer:
x=7
2x+45=59
3x+55=76
Step-by-step explanation:
Answer:
7°, 59°, 76°
Step-by-step explanation:
The equation for the sum of the angles:
(2x + 45)° + (3x + 55)° = 135°Solving for x:
(5x + 100)°= 1355x= 35x= 35°/5x= 7°The angles:
(2x + 45)°= 2*7°+45° = 59°(3x+55)°= 3*7° + 55° = 76°
I think its D but im not sure.
Answer:
[tex]\sqrt[5]{2^3}[/tex]
Step-by-step explanation:
2 is the base
The top of the fraction is the power
The bottom of the fraction is the root
[tex]\sqrt[5]{2^3}[/tex]
Answer: A
Step-by-step explanation:
A fractional exponent can be written as a number with a radical to the power of the denominator raised to the power of the numerator. It sounds difficult, but is really very easy.
[tex]x^{\frac{4}{13} } =\sqrt[13]{x^{4} } \\x^{\frac{7}{3} } =\sqrt[3]{x^{7} } \\[/tex]
Thus, the answer is A
The length of a room is 9 metres. Its floor is tiled by using 96 square tiles of 0.75 m x 0.75 m each. What is the breadth of the room?
Answer:
The breadth of the room is 6 metres
Answer:
Step-by-step explanation:
Side of a tile= a = 0.75 m
Area of one square tile = a² = (0.75)² = 0.5625 m²
Area of 96 square tiles = 0.5625 * 96
Area of the room = area of 96 square tiles
length * breadth = 0.5625 * 96
9 * breadth = 0.5625 * 96
breadth = [tex]\frac{0.5625*96}{9}\\\\[/tex]
breadth = 6 m
Give the digits in the tens place and the tenths place.
12.05
(Math never got easier!) No seriously help:)
Answer:
Step-by-step explanation:
cosФ=0 then the angle=π/2=90 degrees
sinФ==1 sin 90=1
12) the original price of the console that Amanda bought :
240+(240*50%)=360 dollars
the price before the tariffs:
360-(360*50^)=180 dollars
Help please thanks don’t know how to do this
Answer:
a = 11.71 ; b = 15.56
Step-by-step explanation:
For this problem, we need two things. The law of sines, and the sum of the interior angles of a triangle.
The law of sines is simply:
sin(A)/a = sin(B)/b = sin(C)/c
And the sum of interior angles of a triangle is 180.
45 + 110 + <C = 180
<C = 25
We can find the sides by simply applying the law of sines.
length b
7/sin(25) = b/sin(110)
b = 7sin(110)/sin(25)
b = 15.56
length a
7/sin(25) = a/sin(45)
a = 7sin(45)/sin(25)
a = 11.71
quadratic equation grade :9
10 points;)
Answer:
Step-by-step explanation:
put (x+2)/(x-2)=a
a-1/a=5/6
[tex]multiply~by~6a \\6a^2-6=5a\\6a^2-5a-6=0\\6a^2-9a+4a-6=0\\3a(2a-3)+2(2a-3)=0\\(2a-3)(3a+2)=0\\either 2a-3=0,a=3/2 \\\frac{x+2}{x-2} =\frac{3}{2} \\cross~multiply\\3x-6=2x+4\\3x-2x=4+6\\x=10\\[/tex]
[tex]or~3a+2=0\\a=-2/3\\\frac{x+2}{x-2} =-\frac{2}{3} \\3x+6=-2x+4\\3x+2x=4-6\\5x=-2\\x=-2/5[/tex]
2.
put (x+3)/x=a
a+1/a=4 1/4
[tex]a+\frac{1}{a} =\frac{17}{4} \\multiply~by~4a\\4a^2+4=17a\\4a^2-17a+4=0\\4a^2-16a-a+4=0\\4a(a-4)-1(a-4)=0\\(a-4)(4a-1)=0\\either~a-4=0,a=4\\\frac{x+3}{x} =4\\4x=x+3\\4x-x=3\\3x=3\\x=3/3=1\\or\\4a-1=0\\a=1/4\\\\\frac{x+4}{x} =\frac{1}{4} \\4x+16=x\\3x=-16\\x=-16/3[/tex]
Please help pleaseee give first person to answer brainlest A system of equations is shown below: Equation A: 3c = d − 8 Equation B: c = 4d + 8 Which of the following steps should be performed to eliminate variable d first? A : Multiply equation A by −4. B : Multiply equation B by 3. C : Multiply equation A by 3. D : Multiply equation B by 4.
Answer:
Multiply the first equation by -4
Step-by-step explanation:
Equation A: 3c = d − 8
Equation B: c = 4d + 8
We want to eliminate variable d
Multiply the first equation by -4
-4( 3c = d − 8)
-12c = -4d +32
Add this to the second equation
-12c = -4d +32
c = 4d + 8
================
-11c = 0d + 40
Answer:
A : Multiply equation A by −4
Step-by-step explanation:
3c = d - 8
Multiply the equation by -4.
-12c = -4d + 32
-12c = -4d + 32
c = 4d + 8
Add equations.
-11c = 0d + 40
-11c = 40
The d variable is eliminated.
Please Help! Two lines, A and B, are represented by the following equations: Line A: y = x − 1 Line B: y = −3x + 11 Which of the following options shows the solution to the system of equations and explains why? (3, 2), because the point does not lie on any axis (3, 2), because one of the lines passes through this point (3, 2), because the point lies between the two axes (3, 2), because both lines pass through this point
Answer:
The last choice (3,2), because both lines pass through this point.
Step-by-step explanation:
For a point to be a solution to a system of linear equations, both equation's lines have to pass through that same point.
Answer: (3, 2), because both lines pass through this point
Step-by-stepexplanation:
This can be solved by substitution. The graph will show the same result.
An umbrella has 8 ribs which are equally spaced (see fig.). Assuming umbrellato
be a flat circle of radius 45 cm, find the area between the two consecutive ribs of
the umbrella.
Answer:
Yes.
Step-by-step explanation:
You are correct except to the nearest hundredth it is 795.54 cm^2.
WILL MARK BRAINLIEST
Answer:
A
Step-by-step explanation:
What is the inclination of a line through the points(5,14) and (9,18)
Answer:
The inclination of the through the points (5, 14) and (9, 18) is 45°
Step-by-step explanation:
The given point has coordinates (5, 14) and (9, 18)
To find the inclination, θ, of the line passing the two points, with point 1 having coordinates (x₁, y₁) and point 2, having coordinates (x₂, y₂), we have to look for the slope as follows;
The slope, m = Change in the y-coordinate ÷ Change in the x-coordinate
[tex]m = \dfrac{y_2 - y_1}{x_2-x_1}[/tex]
Where:
y₁ = The y-coordinate of point 1 = 14
x₁ = The x-coordinate of point 1 = 5
y₂ = The y-coordinate of point 2 = 18
x₂ = The x-coordinate of point 2 = 9
Substituting, we have;
[tex]m = \dfrac{18 - 14}{9-5} = \dfrac{4}{4} = 1[/tex]
The inclination of the line is the angle the line makes with x-axis
Since the slope gives the ratio of the opposite and adjacent segment to the angle of inclination, the arc-tangent of the slope will give the angle in degrees as follows;
[tex]tan^{-1}m = tan^{-1} \left (\dfrac{y_2 - y_1}{x_2-x_1} \right) = \theta[/tex]
given that m = 1, we have;
tan⁻¹(m) = θ = tan⁻¹(1) = 45°.
Find the missing side. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
In a right triangle, the sides forming the right angle also determine the angle opposite one of the sides.
Tan(29) =26/x Multiply both sides by x
x tan(29) = 26 Divide by tan(29)
x = 26/tan(29) Find tan(29)
x = 26/0.5543 Divide
x= 46.9
If a circle has a diameter with endpoints of (-3, 0) and (5, 4), then the equation of the circle is?
A current of 2.5 A delivers 3.5 of charge
1 Ampere = 1 Coulomb of charge per second
2.5 A = 2.5 C of charge per second
Time to deliver 3.5 C of charge = (3.5 C) / (2.5 C / sec)
Time = (3.5 / 2.5) (C / C-sec)
Time = 1.4 sec
A current of 2.5 A delivers 3.5 C of charge in 1.4 seconds.
-2x-3=-9. What does x equal?
Answer:
x=3
Step-by-step explanation:
-2x-3=-9
Add 3 to each side
-2x-3+3=-9+3
-2x = -6
Divide by -2
-2x/-2 = -6/-2
x = 3
Answer:
x =3
Step-by-step explanation:
[tex]-2x-3=-9. \\ - 2x = - 9 + 3 \\ - 2x - 6 \\ \frac{ - 2x}{ - 2} = \frac{ - 6}{ - 2} [/tex]
[tex]x = 3[/tex]
[tex]( \frac{1 + i}{1 - i} ) {}^{2} [/tex]
Please tell me the answer i need help
Answer:
- 1
Step-by-step explanation:
Given
( [tex]\frac{1+i}{1-i}[/tex] )²
= [tex]\frac{(1+i)^2}{(1-i)^2}[/tex]
= [tex]\frac{(1+i)(1+i)}{(1-i)(1-i)}[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{1+2i+i^2}{1-2i+i^2}[/tex] ← simplify using i² = - 1
= [tex]\frac{1+2i-1}{1-2i-1}[/tex]
= [tex]\frac{2i}{-2i}[/tex]
= - 1
Miriam is setting up a fishing game in a kiddie pool for her niece's birthday party. The pool has a circular base with a diameter of 4 feet and a height of 0.75 feet. She wants to fill the pool halfway so there is plenty of space left for the plastic fish. Approximately how many cubic feet of water does she need? 9.4 1.5 2.4 4.7
Answer:
4.7 feet³ of water
Step-by-step explanation:
Diameter of 4 feet
Radius = 2 feet
Height = 0.75 feet
Formula for Volume = 2·[tex]\pi[/tex]·radius·height
But she only wants to fill half, so divide by 2, cancels the 2 in the formula for volume, giving us: [tex]\pi[/tex]·radius·height
[tex]\pi[/tex]·2·0.75 = 4.71 feet³
At which value in the domain does f(x)=0? On a coordinate plane, a function goes through the x-axis at (negative 2.5, 0), (negative 0.75, 0), (0, negative 3), and (1, 0).
Answer:
The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Step-by-step explanation:
Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).
To find the values in the domain where f(x) = 0, we look at the ordered pairs given.
We look for the pair in which f(x) = 0.
So f(x) = 0 in (-2.5, 0)
f(x) = 0 in (-0.75, 0)
and f(x) = 0 in (1, 0)
The corresponding values of x in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Answer:
C. [tex]x=1[/tex]
Step-by-step explanation:
When x is 1, y is 0.
Identify the continuous data.
A. the time you take your dog for a walk each day
B. the temperature of the water in the local river during the day
C. how long it takes to run a lap around the track
D. the number of croutons in your daily salad
Answer:
A. The time you take your dog for a walk each day
B. The temperature of the water in the local river during the day
C. How long it takes to run a lap around the track
Step-by-step explanation:
Continuous data is quantitative data that you can measure. It can have an infinite number of possible values within a given range.
For example, you can measure times and temperatures to any number of decimal places if you have the appropriate equipment.
D is wrong. You can't measure the number of croutons in a salad. You must count them.