Answer:
simple interest = $525
total amount = $ 2025
Graph the circle x2 + y2 – 2x – 80 = 0
x2+y2−2x−80=0
Write the problem as a mathematical expression.x2+y2−2x−80=0
Add 80 to both sides of the equation. x2+y2−2x= 80 Complete the square for x2− 2x. Tap for more steps...(x−1)2−1 Substitute (x−1)2−1 for x−2x in the equation x2+y2−2x =80 .(x−1)2−1+y2=80 Move −1 to the right side of the equation by adding 1 to both sides.(x−1)2+y2=80+1Add 80 and 1.(x−1)2+y2=81
This is the form of a circle. Use this form to determine the center and radius of the circle.(x−h)2+(y−k)2=2Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.r=9h=1k=0 The center of the circle is found at (h,k). Center: (1,0)These values represent the important values for graphing and analyzing a circle. Center: (1,0)Radius: 9
1. Find the area of parallelogram ABCD.
Round to the nearest tenth.
A 55.4 m2
C 69.3 m2
B 60 m2
D 80 m2
2. The area of the parallelogram DEFG is 143 square units.
Find the height. Round to the nearest tenth if necessary.
Fll units
H 22 units
G 14.3 units
J 44 units
3. The base of a triangle is three times its height.
If the area of a triangle is 54 square inches, find its height.
A 18 in.
C3 in.
B 6 in.
DI in.
4. Find the area of quadrilateral PQRS.
F 34.1 units
G 65 units?
H 130 units?
J 360 units
Answer:
1: C =69.3 m2
2: F = ll units
3. C: 3 in.
4. G =65 units
Step-by-step explanation:
1: C =69.3 m2
We see from the figure that height of the parallelogram ABCD is not known and the base is 10 m
Taking the right angled triangle the height is given by
Sine theta= height/hypotenuse
height = hypotenuse* sine theta
= 8* sine 60
= 8* 0.866= 6.928
Area of parallelogram= base * height
= 10 * 6.928
= 69.28
=69.3 m²
2: F = ll units
We see from the figure that height of the parallelogram DEFG is not known and the base is 13 cm
Area of parallelogram= base * height
143 = 13 * height
Height = 143/13= 11 units
3. C: 3 in.
The area of the triangle = 1/2 * base * height
Let the height be x then the base is 3x
54= 1/2*x*3x
54= 3x²/2
27= 3x²
x²=27/3
x²= 9
x= 3
The height is 3 inches
4. G =65 units
Area of the quadrilateral = 1/2 *PR*QO + 1/2 *PR*OS
= 1/2*13*4+ 1/2*13*6
=26+ 39
= 65 units
These measurements are given in the diagram .
Which expression is equivalent to 9(9m + 3t) ?
81m + 3t
81, m, + 3, t
81m + 27t
81, m , + 27, t
18m + 3t
18, m, + 3, t
18m + 12t
if 5 men can finish a piece of work in 10 days, how many men can finish the same work in a day?
Answer:
50.
Step-by-step explanation:
I hope that this helped!!!
This histogram represents a sampling of recent visitors to the mall on a Friday night, grouped by their ages.
In which interval is the median located?
40-49
30-39
20-29
10-19
Answer:
20 - 29
Step-by-step explanation:
Please find the complete question in the attached image
An histogram is a bar-like graph used to represent numerical data. On the y-axis is the frequency of the data and on the x-axis is the data
median is a measure of central tendency. It measures the middle number in a set of observation
there are 20 observations (visitors),
1, 2, 3,5,6, 7, 8, 9,| 10, 11, | 12,13,14,15,16,17,18,19,20
the median is 10 and 11 or 10.50
there are 9 numbers on either sides of 10 and 11
the 10th and 11th visitor would be found in the age group 20 - 29
Calculate the area of the shape.
Answer:
295 ft is the area of this shape
The scale factor of two similar hexagons is 5:12. The smaller hexagon has an area of 24 square units. What is the area of the larger hexagon?
Answer: [tex]138.24\ \text{square units}[/tex]
Step-by-step explanation:
Given
The scale factor of two similar hexagons is 5:12.
The smaller hexagon has an area of 24 square units
we know, the ratio of two similar figures is equal to the square of the scale factor.
Suppose the area of the larger hexagon is A
[tex]\therefore \dfrac{24}{A}=\left[\dfrac{5}{12}\right]^2\\\\\Rightarrow A=\left[\dfrac{12}{5}\right]^2\times 24\\\\\Rightarrow A=138.24\ \text{square units}[/tex]
he graph below shows the results of a middle school election for president of the student body.
How many 6th, 7th, and 8th graders voted for Jose?
A.
320
B.
410
C.
420
D.
370
Answer:
Step-by-step explanation:
Draw a triangle of sides 6cm,5cm,4cm.and draw an isosceles triangle of the same area
Answer:
I think not possible to do
What is the radius of a sphere with a volume of 90581 In3, to the nearest tenth of an
inch?
Answer:
27.9
Step-by-step explanation:
Two more than the quotient of a number and 5 is equal to 8
Answer:
30
Step-by-step explanation:
We can start by writing an equation:
2 + x / 5 = 8
We are adding 2 since we are asking for two more than the quotient, and it is set equal to 8 as given by the problem.
We can subtract 2 from both sides to isolate the x term:
2 + x / 5 = 8
-2 -2
x / 5 = 6
Now, we can multiply by 5 to cancel out the division by 5:
x / 5 = 6
* 5 * 5
x = 30
So, the number is 30.
The requried number is 30, and the equation model is x/5 + 2 = 8.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
In the question, we have given a statement, and using that we have to model an equation,
To model an equation 1 step is to assign a variable.
So let the number be x.
According to the quesiton,
Two is more than the quotient of a number and 5 is equal to 8
x/5 + 2 = 8
x/5 = 8 - 2
x /5 = 6
x = 5 × 6
x = 30
Thus, the requried number is 30, and the equation model is x/5 + 2 = 8.
Learn more about models here:
https://brainly.com/question/29216499
#SPJ2
Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will help show that circle A is similar to circle B? (5 points) Group of answer choices Reflect circle A over the y-axis. Dilate circle A by a scale factor of 3. Translate circle A using the rule (x − 3, y + 6). Rotate circle A 180° about the center.
Answer:
Divide and then multiply the smaller ratio to get an equal ratio to the first one
Step-by-step explanation:
It helps a lot with algebra
Answer:
Dilate circle A by a scale factor of 3.
Step-by-step explanation:
In order to show if two triangles are similar you have to translate and dialate one of the triangles to compare it to the other one. So A and D are not it. The formula for C is incorrect so therefore the answer is B. Also i took the test :D
Which of the following is a true biconditional statement?
A. An athlete wears a hat if and only if the athlete is on a baseball
team.
B. A person practices yoga if and only the person is relaxed.
C. I wear my raincoat if and only if it is raining.
D. I walk one mile to the store if and only if the store is 5280 feet
away
SUBMIT
A 2.18 x 10-8 F capacitor has plates
separated by 3.89 x 10-8 m. What is
the area of the plates?
Answer:
9.58 *10^-5
Step-by-step explanation:
Acellus
Solve equation
0=-2x+4
Answer:
x=2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
➜-2x+4=0
➜-2x=-4
➜2x=4
➜x=4/2
➜x=2
Solve for v.
–9,45 − 6,1v = –2,8v + 13,98
Answer:
V would equal -7.1.
Step-by-step explanation:
It appears you have set the decimal points as commas. Let's remove that and replace it with decimal points. (AkA ".")
First, we move every term with "V" in this problem to the left.
-9.45 - 3.3v = 13.98
Next, we add -9.45 to 13.98 which equals 23.43.
We then make 3.3v negative.
-3.3v = 23.43
We then divide 23.43 and 3.3v by 3.3.
We cancel out 3.3v to leave 23.43/3.3.
We can now divide 23.43 by 3.3 to get -7.1.
V = -7.1
Answer:
V would equal -7.1.
Step-by-step explanation:
Guys help me pleaseeee
A set of data with 750 numbers is normally
distributed with a mean of 36 and a standard
deviation of 2. How many numbers in the
data would you expect to be between 34 and
38?
Answer:
510
Step-by-step explanation:
(0.68)750
shift decimal places
510.00
refine:510
why is 2(x+9) + 4x an expression and not an equation?
Answer:
because an expersion is A variable can be a letter or another symbol that stands for an unknown in an equation or expression.
Step-by-ste p explanation:
which of the following mean the same as x-intercept?
Answer:
(A), (D), and (E)
Step-by-step explanation:
In a quadratic function, the solutions are always on the x-axis, which means that it can be another word for x-intercept. Also, a zero and a root are the same thing, and they are both x-intercepts. Hope this helps!
100 points and its ez just in class and need help
Answer:
Slope: 3, Y-intercept: 8
Step-by-step explanation:
=> Slope: Change in y / Change in x
Change in y = +6
Change in x = +2
Slope = 6 / 2
Slope = 3
=> A value of y in the data set where x = 0
Y-intercept: 8
Hope this helps!
Answer:
you can mark jadedmulan as brainliest.
[tex]x^{2}[/tex]+8x+7
Answer:
(x + 1)(x + 7)
Step-by-step explanation:
Assuming you require the expression factored
x² + 8x + 7
Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)
The factors are + 1 and + 7 , since
1 × 7 = 7 and 1 + 7 = 8 , then
x² + 8x + 7 = (x + 1)(x + 7) ← in factored form
Otis is cutting a long piece of wood trim into smaller pieces for an art project. The line plot shows the length of the smaller pieces of wood.
I really don know but ill go with 6
Which of the following equations can be used to find the missing angle, x, in the triangle below?
Answer:
x+84=180
Step-by-step explanation:
a triangle has a total angle degrees of 180
Answer:
x + 84 = 180
Step-by-step explanation:
The sum of all the interior angles of a triangle is 180. So basically, x plus the other two angles would have to equal 180.
Adult tickets to the aquarium cost $16
each. If the aquarium marks the ticket
price up 20%, how much will a group of
5 eduils pay for tickets?
Answer:
96 dollars
Step-by-step explanation:
multiply 16 by 20% and get 3.2 so u add that with 16 and then multiply that by 5
Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function
Answer:
y = 45/x
Step-by-step explanation:
Here, we want to write an inverse relationship
for an inverse relationship, the product of both variables will be equal to the constant term
Let us have the constant term as k
Thus, we have it that;
xy = k
9 * 5 = k
k = 45
So the inverse function is;
xy = 45
or y = 45/x
if y is a function of x, we can have it as;
f(x) = 45/x
I need help! would appreciate it
Answer:
X is about 58.41 degrees
Step-by-step explanation:
For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.
Therefore, with the equation for sine, we would get
sin(x) = 23/27
sin(x) = 0.851
Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.
x = sin-1 23/27
Last, use a calculator to get the answer.
X is about 58.41 degrees
please answer thissssssssssssssssssssssss
Answer:
C
Step-by-step explanation:
SA= 2lw+2lh+2wh
Answer:b
Step-by-step explanation:
PLZ HELP IF RIGHT THEN I WILL GIVE BRAINLY!!!!
Answer:
Step-by-step explanation:
p=56.6
Answer:
56.6ft
Step-by-step explanation:
i added all the sides together hope it is correct
how to simplify y14/y10
Answer:
Divide them by the same number
Step-by-step explanation:
14/2=7
10/2= 5
y7/y5