Answer:
Sales price: $1,575 Discount: $175
Step-by-step explanation:
To find the sales price, you either multiply the percent(indecimals, so 10% would be .1) by the discount price, but be careful to subtract original by new.
To get the anwser right away, multiply the price you have to pay, 90%, so .9 by 1,750. You get $1,575.
To get the discount, subtract original by new, $1750-$1575=$175
Hope this helps ^^
Solve. -7x+1-10x^2=0
Answer:
[tex]-7x+1-10x^2=0[/tex]
[tex]-10x^2-7x+1=0[/tex]
[tex]quadratic\:equation:-[/tex] [tex]ax^2+bx+c=0[/tex]
[tex]solutions:-\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]For \\A=-10\\B=-7\\C=1[/tex]
[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}}{2\left(-10\right)}[/tex]
[tex]\sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}=\sqrt{89}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{89}}{2\left(-10\right)}[/tex]
[tex]x_1=\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)},\:x_2=\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}[/tex]
[tex]\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)}=-\frac{7+\sqrt{89}}{20}[/tex]
[tex]\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}=\frac{\sqrt{89}-7}{20}[/tex]
[tex]x=\frac{\sqrt{89}-7}{20}[/tex]
OAmalOHopeO
The length of a rectangular-shaped patio is 3 feet shorter than four times its width.
A. Write an equation to represent the area of the patio.
B. If the patio has an area of 370ft square, find the dimensions of the patio
Answer:
A. A = 4x² – 3x
B. Dimension = 37 ft × 10 ft
Step-by-step explanation:
A. Writing an equation to represent the area of the patio.
From the question given above,
Length (L) = (4x – 3) ft
Width (W) = x ft
Area (A) =?
Area of a rectangle is given by:
Area (A) = Length (L) × Width (W)
A = L × W
A = (4x – 3)x
Clear bracket
A = 4x² – 3x
B. Determination of the dimensions of the patio.
Area (A) = 370 ft²
Dimensions =?
Next, we shall determine the width and length. This can be obtained as follow:
From (A) above,
A = 4x² – 3x .... (1)
A = 370 ....... (2)
Equating equation 1 and 2, we have
4x² – 3x = 370
Rearrange
4x² – 3x – 370 = 0
Solving by formula method:
4x² – 3x – 370 = 0
Coefficient of x² (a) = 4
Coefficient of x (b) = –3
Constant (c) = –370
x = –b ± √(b² – 4ac) / 2a
x = –(–3) ± √(–3² – (4×4×–370)) / 2×4
x = 3 ± √(9 + 5920) / 8
x = 3 ± √(5929) / 8
x = 3 ± 77 / 8
x = (3 + 77) / 8 or (3 – 77) / 8
x = 80/8 or –74/8
x = 10 or –37/4
Since measurement can not be negative, thus,
x = 10
Width (W) = x ft
x = 10
W = 10 ft
Length (L) = 4x – 3 ft
x = 10 ft
L = 4(10) – 3
L = 40 – 3
L = 37 ft
Finally, we shall determine the dimensions. This is illustrated below:
W = 10 ft
L = 37 ft
Dimension =?
Dimension = L × W
Dimension = 37 ft × 10 ft
Please need help explanation need it
Answer:
308 m^3
Step-by-step explanation:
The volume is given by
V = l*w*h where l is the length , w is the width and h is the height
V = 7*4*11
V = 308 m^3
Which of the following is true of the discriminant for the graph below?
Considering that the quadratic equation has no solutions, the discriminant is classified as:
C. Negative.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The discriminant is:
[tex]\Delta = b^2 - 4ac[/tex]
The solutions are as follows:
If [tex]\mathbf{\Delta > 0}[/tex], it has 2 real solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 real solutions.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.Looking at the graph, the equation has no solutions, hence [tex]\Delta < 0[/tex] and option C is correct.
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Introduction to area of a piecewise rectangular figure
Given:
The piecewise rectangular figure.
To find:
The area of the piecewise rectangular figure.
Solution:
Draw a line and divide the given figure in two parts (a) and (b) as shown in the below figure.
Figure (a) is a rectangle of length 5 yd and width 3 yd. So, the area of the rectangle is:
[tex]Area=length\times width[/tex]
[tex]A_a=5\times 3[/tex]
[tex]A_a=15[/tex]
Figure (b) is a square of edge 2 yd. So, the area of the square is:
[tex]Area=(edge)^2[/tex]
[tex]A_b=(2)^2[/tex]
[tex]A_b=4[/tex]
The area of the given figure is:
[tex]A=A_a+A_b[/tex]
[tex]A=15+4[/tex]
[tex]A=19[/tex]
Therefore, the area of the given figure is 19 square yd.
Which of the following is a correct tangent ratio for the figure? A) tan (24) 76 B) tan(76°) °= 2 C) tan(76°) = D) tan(8") = 24 76
Given question is incorrect; here is the complete question.
"Which of the following is a correct tangent ratio for the figure attached"
A) tan(76°) = [tex]\frac{24}{8}[/tex]
B) tan (76°) = [tex]\frac{8}{24}[/tex]
C) tan (24°) = [tex]\frac{76}{8}[/tex]
D) tan (8°) = [tex]\frac{24}{76}[/tex]
Option A will be the correct option.
From the figure attached,
Given triangle is a right triangle.Measure of one angle = 76°Measure of two sides of the triangle are 24 and 8units.By applying tangent ratio of angle having measure 76°.
tan(76°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{24}{8}[/tex]
Therefore, Option (A) is the correct option.
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what is 8/9 divide 2/3?
Answer:
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Simplify the complex fraction.
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Simplify
4/3 is the correct answer
9/37 is changed to a decimal. What digit lies in the 2005th place to the right of the decimal point?
Answer:
2
Step-by-step explanation:
Divide 9/37 and you get repeating decimal of 0.243
Divide 2005 by 3 because the decimal repeats 3 numbers
You will get reminder of 1 from dividing 2005 by 3
Move 1 place from the decimal point and you get 2
Thank you so much for your help
Answer:
1.1x
Step-by-step explanation:
that is the procedure above
Let f(x) = 2x - 7 and g(x) = -6x - 3. Find f(x) + g(x) and state its domain.
HELP PLSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!
A : 12x2 - 48x + 21; all real numbers
B: -14x2 + 36x - 18; all real numbers except x = 7
C: 12x2 - 48x + 21; all real numbers except x = 1
D: -14x2 + 36x - 18; all real numbers
Answer:
Step-by-step explanation:
f(x) + g(x) = 2x - 7 - 6x - 3
f(x) + g(x) = -4x - 10
The domain is any real number.
I think you have mixed up the question. None of the choices are correct. They look like they belong to another choice.
It could be f(x)*g(x)
(2x - 7) (-6x - 3)
-12x^2 - 42x - 6x + 32
-12x^2 - 48x + 21
Well it could be either A or C since they are identical.
Perform the indicated operation. Be sure the answer is reduced.
4x/2x+y + 2y/2x+y
4
2
1
Answer:
2y + y/x + 2
Step-by-step explanation:
is the answer.....
True or False?
k = 3 over 4 is a solution to the inequality 12k + 2 < 12.
True
False
Answer:
False.
Step-by-step explanation:
...................
Can I know the answer for the above questions
Answer:
Step-by-step explanation:
which statement must be true about line TU?
Answer:
line TU has no slope in the diagram above
PLS HELP QUESTION ATTACHED
Answer:
A
Step-by-step explanation:
the -1 represents the graph going down by 1
Show Workings.
Question is in attached image.
Answer:
A.]A chord of a circle of diameter 40 cm subtends an angle of 70° at the centre of the circle.
Solution given;
diameter [d]=40cm
centre angle [C]=70°
(a) Find the perpendicular distance be tween the chord and the centre of the circle.
Answer:
we have
the perpendicular distance be tween the chord and the centre of the circle=[P]let
we have
P=d Sin (C/2)
=40*sin (70/2)
=22.9cm
the perpendicular distance be tween the chord and the centre of the circle is 22.9cm.
(b) Using = 3.142, find the length of the minor arc.
Solution given;
minor arc=[tex]\frac{70}{360}*πd=\frac{7}{36}*3.142*40[/tex]
=24.44cm
the length of the minor arc. is 24.44cm.
B.]In the diagram, XZ is a diameter of the cir cle XYZW, with centre O and radius 15/2 cm.
If XY = 12 cm, find the area of triangle XYZ.
Solution given:
XY=12cm
XO=15/2cm
XZ=2*15/2=15cm
Now
In right angled triangle XOY [inscribed angle on a diameter is 90°]
By using Pythagoras law
h²=p²+b²
XZ²=XY²+YZ²
15²=12²+YZ²
YZ²=15²-12²
YZ=[tex]\sqrt{81}=9cm[/tex]
:.
base=9cm
perpendicular=12cm
Now
Area of triangle XYZ=½*perpendicular*base
=½*12*9=54cm²
the area of triangle XYZ is 54cm².
Answer:
Question 1a)
d = 40 cm ⇒ r = 20 cm
Let the perpendicular distance is x.
Connecting the center with the chord we obtain a right triangle with hypotenuse of r and leg x with adjacent angle of 70/2 = 35°.
From the given we get:
x/20 = cos 35°x = 20 cos 35°x = 16.383 cm (rounded)b)
The minor arc is 70° and r = 20
The length of the arc is:
s = 2πr*70/360° = 2*3.142*20*7/36 = 24.437 cm (rounded)Question 2Since XZ is diameter, the opposite angle is the right angle, so the triangle XYZ is a right triangle.
r = 15/2 cm ⇒ XZ = d = 2r = 2*15/2 = 15 cmFind the missing side, using Pythagorean:
[tex]YZ = \sqrt{XZ^2 - XY^2} = \sqrt{15^2-12^2} = \sqrt{81} = 9[/tex]The area of the triangle:
A = 1/2*XY*YZ = 1/2*12*9 = 54 cm²On Monday morning at 8:00 a.m. the temperature is – 14 o C. Over the
next 6 hours the temperature rises 6 o C. Between 2:00 p.m. on Monday
and 8:00 a.m. on Tuesday the temperature drops 9 o C. Over the next 6
hours the temperature rises only 4 o C. What is the temperature at 2:00
p.m. on Tuesday?
convert 4 seconds to hour
Answer:
0.00111111 hrs
Step-by-step explanation:
Have a nice day
Answer:
4/3600 = .001111 hr
Step-by-step explanation:
4 seconds * 1 hour * 1 minute = 4/3600 = .001111 hr
60 minutes 60 seconds
- CA Geometry A Illuminate Credit 4 FF.pdf
Answer:
hii
Step-by-step explanation:
What is the period 3 pi and 4 pi
Answer:
i think i know the answer sorry if im wrong but i would say B
Step-by-step explanation:
Please help!
A line intersects the points (-2, 8) and
(4, 12). Find the slope and simplify
completely.
Help Resource
Slope
[?]
= +
Hint: m =
y2-yi
X2-X1
Enter
Answer:
2/3
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (12-8)/(4 - -2)
(12-8)/(4+2)
4/6
2/3
Please help me with this on the image
Answer:
hope this may help u
q. no (a)= 60%
(b)=55%
Answer:
a) [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex] = .6 or 60%
b) [tex]\frac{11}{20}[/tex] = .55 or 55%
Step-by-step explanation:
Count the boxes.
[tex]\frac{shaded}{total}[/tex]
Divide and multiply by 100
Determine the period
Answer:
3 units
Step-by-step explanation:
The period of a wave is the time taken to complete a cycle of motion of the wave
In the given figure, the graduations of the x-axis, which is the usually time axis = 1 unit
At the origin, (0, 0), the vertical displacement of the wave = 0
The maximum value of the wave function is between x = 0 and x = 1
The minimum value of the wave function is between x = 2 and x = 3
At the point (3, 0) the value of the wave function is again 0, and a cycle of the wave is completed
Therefore, the period of the wave = 3 units of the x-variable
Help PLEASE eeeeeeeeeeeeeeeee
Answer:
0.6 is the answer please
This drawing would be a step in finding which point of concurrency in a triangle?
Answer:
B. Orthocenter
Step-by-step explanation:
The orthocenter of a triangle is the point of intersection of the three altitudes (the perpendicular from a vertex to the side facing the vertex) of a triangle
The steps used in constructing the orthocenter includes the steps for drawing of the perpendicular to the sides of the triangle from a point which is the vertex opposite the side of the triangle
Therefore, in the given diagram, a perpendicular to the side KS is drawn from the (vertex) point W, by drawing an arc with center at W that intersects the side KS at two points. Rom the points of intersection of the arc drawn from W intersects KS, with the compass, two arcs are drawn to intersect at a point from which a line drawn to W, is perpendicular to KS
Therefore;
The correct option is B. orthocenter
Which statement is true regarding the angles in the figure below?
Triangle E D F. A diagonal line is drawn from point D to form an angle.
Angle D is an exterior angle because it shares a side with the triangle.
Angle D is an exterior angle because it is not inside the triangle.
Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.
Angle D is not an exterior angle.
An exterior angle is an angle supplementary to one of the interior angles.
In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.
In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.
Therefore angle D is not an exterior angle.
Option D is the correct one!
An exterior angle is an angle supplementary to one of the interior angles.
We have given that,
Triangle E D F. A diagonal line is drawn from point D to form an angle.
Angle D is an exterior angle because it shares a side with the triangle.
Angle D is an exterior angle because it is not inside the triangle.
Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.
Angle D is not an exterior angle.
What is the exterior angle?an exterior angle is an angle between one of the sides and the extension of an adjacent side.
In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.
Therefore angle D is not an exterior angle.
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If a 750 ml bottle of juice costs £1.90 and a 1 litre bottle of the same juice costs £2.50 then the 750 ml bottle is better value.
Answer:
The 1 liter bottle is better value
Step-by-step explanation:
Cost of 750 ml = £1.90
Cost of 1 liter = £2.50
1000 ml = 1 liter
Cost per 250 ml
750 ml / 3 = £1.90 / 3
250 ml = £0.6333333333333
Approximately,
£ 0.633
Cost per 250 ml
1 liter / 4 = £2.50 / 4
250 ml = £0.625
The 750 ml bottle is not a better value
The 1 liter bottle is better value
juans pencil box measures 6 cm long. if the length of the diagonal is 10 cm what is the width of the pencil box
Answer:
8 cm
Step-by-step explanation:
We can use the Pythagorean theorem to solve since we have a right triangle
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 +6^2 = 10^2
a^2 +36 = 100
a^2 = 100-36
a^2 = 64
Taking the square root of each side
sqrt(a^2) = sqrt(64)
a =8
Answer:
8 cm
Step-by-step explanation:
Use the Pythagorean theorem- [tex]a^{2} +b^{2} =c^{2}[/tex]
leg a: 6cm
leg b: unknown
hypotenuse: 10cm
Therefore [tex]6^{2} +x^{2} =10^{2} = 36+x^{2} =100[/tex]
Subtract 36 to 100 to isolate the [tex]x^{2}[/tex]. [tex]x^{2} =64[/tex]
Square root both sides and get your answer of 8cm
Evaluate the expression 3(5 + 2)(7 - 2) using order of operations.
Answer:
105
Step-by-step explanation:
The order of operations is written as PEMDAS. These letters stand for:
-Parentheses
-Exponents
-Multiplication
-Division
-Addition
-Subtraction
We follow these steps in order to solve expressions efficiently. Now, we are going to use PEMDAS to evaluate the expression 3(5+2)(7-2) step by step.
3(7)(5) The first step is to simplify the numbers in the parentheses.
There are no exponents, so we skip to the next step, multiplication.
(3*7)(5)
21(5)
105
PEMDAS is no longer needed because 105 has come out to be our answer.
I hope this helps you out! Have an an awesome day :3
Calculate the answer to the correct number of significant figures: (1.705 + 0.5067) / (0.2 * 1.243) = ______.
8.897
8.8966
8.9
9
8.90
Answer:
8.9
Step-by-step explanation:
they said to the sig. figure so since it's 8.8966, so the answer will be 8.9
The answer to the correct number of significant figures is 8.897, the correct option is A.
What are Significant Figures?Significant figures is a positional notation, these are the digits that are required to understand the quantity of something.
The expression is
⇒(1.705 + 0.5067) / (0.2 * 1.243)
=2.2117/0.2486
=8.89662
≈ 8.897
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