Answer:
3/4 of the area of the circle is of [tex]48\pi[/tex] squared units.
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which the center is [tex](x_0,y_0)[/tex] and r is the radius.
Area of a circle:
The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex]
Circle (x+2)² + (y-5)² = 64
Comparing with the standard equation, we have that:
[tex]r^2 = 64[/tex]
Area of the circle:
[tex]A = \pi r^2 = 64\pi[/tex]
What is 3/4 of its area?
[tex]\frac{3A}{4} = \frac{3*64\pi}{4} = 3*16\pi = 48\pi[/tex]
3/4 of the area of the circle is of [tex]48\pi[/tex] squared units.
the sum of two numbers is 8. the sum of the squares of the same two numbers is 40. what are the numbers?
Answer:
The numbers are 6 and 2
Step-by-step explanation:
Given this scenario, we can set up the following equations:
x + y = 8
x² + y² = 40.
___________
x + y = 8
y = 8 – x
(y)² = (8 – x)²
y² = (8 – x)²
x² + y² = 40
x² + (8 – x)² = 40
x² + 64 – 16x + x² = 40
2x² – 16x + 64 = 40
2x² – 16x = -24
2(x² – 8x) = -24
x² – 8x = -12
x² – 8x + 12 = 0
(x – 6)(x – 2) = 0
x = 6 or 2.
x + y = 8 →
(6 or 2) + y = 8
y = 8 – (6 or 2)
y = 2 or 6.
___________
x + y = 8 →
6 + 2 = 8 →
8 = 8 ✓
x² + y² = 40 →
6² + 2² →
36 + 4 = 40 →
40 = 40 ✓
HELP
What is the equation of the trend line in the scatter plot ?
Answer:
its decreasing
Step-by-step explanation:
the graph will always be read from left to right.
Compute the following: Subscript 8 Baseline C Subscript 8 a. 16 b. 0 c. 64 d. 1
i think its D if im not mistaken....
15. Find the value of x and y rounded to the nearest tenth.
X
34
45°
30°
y
Answer:
x = 24.0
y = 46.4
Step-by-step explanation:
Let opposite side = z
Using trigonometry :
Sin 30 = z / 34
z = 0.5 * 34
z = 17
We find x :
Sin 45 = 17 / x
x * sin45 = 17
x = 17 / sin 45
x = 24.04
Let y = y1 + y2
y1 = 17 / tan45
y1 = 17
y2 = 17/tan30
y2 = 29.44
y = 17 + 29.44
y = 46.44
lol can anyone help me asap
Answer:
A = 34.1 cm²
Step-by-step explanation:
Shape is a triangle.
Formula for area of a triangle is;
A = ½bh
In this triangle;
b is base = 11 cm
h is height = 6.2 cm
Thus;
A = ½ × 11 × 6.2
A = 34.1 cm²
Question 2 of 5
✓25 =
O A. 10
B. 6
C. 4
D. 5
Answer:
The answer would be : D. 5
An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters more than triple the width. What dimensions should she make the rectangle?
Answer:
The rectangle is 3.2 cm by 12.6 cm
Step-by-step explanation:
See attached image for a diagram.
Choose w to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.
Length = 3w + 3
The diagonal forms two right triangles, each with leg = w, other leg = 3w + 3, hypotenuse = 13.
The Pythagorean Theorem says [tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex] so
[tex]w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\[/tex]
Now solve using the Quadratic Formula with [tex]a=5,\,b=9,\,c=-80[/tex].
[tex]w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2[/tex]
The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.
Find the missing term in the perfect-square trinomial.
____− 108y + 36
Answer: 81y^2
Step-by-step explanation: a^2-2ab+b^2=(a-b)^2 Plug values and solve.
here are 2 gold coins and 5 silver coins in Victor's coin collection. What is the ratio of the
number of silver coins to the number of gold coins?
Answer:
5:2
Step-by-step explanation:
Since we know both the number of silver and gold coins, we can put it in ratio form. Pay attention to the order; since it’s asking for silver to gold coins, the ratio would be silver:gold. We can substitute the 5 and 2 for the gold and sliver values, so we get 5:2. This answer cannot be simplified so it will stay the same.
The segments shown below could form a triangle.
A. True
B. False
Answer:
true
Step-by-step explanation:
I really need major help .
Answer:
Step-by-step explanation:
A)
exponential , b/c it curves upwards
B)
a linear graph with have a constant number of growth, and an exponential, needs that number to change, so that's why the exponent is required.
C)
Maybe a temperature function that could follow the outdoor temp over a few hour period , say in the morning.. as the temp goes up in a linear fashion.
maybe the temp at 8 am would be 50 then at 9 it would be 55 and at 10 it would be 60 and at 11 it could be 65 , something like that seems like it would be a good working example of a linear function that was not chosen
it took 5 hours to mow 6 yards. at the rate, how many yards can be mowed in 20 hours
Answer:
24 yards
Step-by-step explanation:
Given: 5 hours to mow 6 yards.
To find: At the same rate, how many yards can be mowed in 20 hours?
Solution: There are lots of different ways of solving this but I will show you setting up fractions to know how much 5 hours are for 6 yards let "x" be the variable
Step 1: Multiply all terms by the same value to eliminate fraction denominators
[tex]\frac{6}{5} = \frac{x}{20} \\\\20*\frac{6}{5} = 20 * \frac{x}{20}[/tex]
Step 2: Cancel multiplied terms that are in the denominator
[tex]20*\frac{6}{5} = 20 * \frac{x}{20}\\\\20 * \frac{6}{5} = x[/tex]
Step 3: Multiply the numbers
[tex]20 * \frac{6}{5} = x\\\\24 = x[/tex]
Step 4: Move the variable to the left
[tex]24 = x\\\\x = 24[/tex]
Therefore, 24 yards can be mowed in 20 hours.
Relationship in Figures
Fill in the blank:
If two triangles are in perspective, then the intersection points of corresponding sides of the two triangles will be ________.
a. coplanar
b. collinear
c. coangular
d. coagulate
Please select the best answer from the choices provided
Answer:
B. Collinear
Step-by-step explanation:
I calculated logically
Solve the equation 8-2x=-8x+14
Answer:
x= -3/5
Step-by-step explanation:
3. The parallelogram which measure 15 cm by 25 cm and a square have the same
perimeter. What is the length of one side of the square?
answer pls i follow and like and rate
Answer:
20 cm
Step-by-step explanation:
perimeter is found by add ing all sides, so 15+15+25+25 = 80
All sides of the square are equal so you divide the sum (80) by 4 which equals 20.
Answer:
20 cm
explanation: I think
Sana makatulong
The total cost of $4 sharpeners and $7 folders is $30.05. If the cost of a sharpener is $a, and a folder is $2.80 more expensive, find $a. Give your answer to two decimal places.
9514 1404 393
Answer:
a = $0.95
Step-by-step explanation:
The cost of a sharpener is 'a', and the cost of a folder is $2.80 more, so is a+2.80. The total cost of 4 sharpeners and 7 folders is ...
4a +7(a+2.80) = 30.05
11a = 10.45 . . . . . . . . . . . subtract 19.60
a = 0.95 . . . . . . . . . . . divide by 11
The cost of a sharpener is a = $0.95.
Plz help me well mark brainliest if you are correct!!....
Kirk used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school. Kirk will receive a scholarship each semester for $1,157.9. If he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items?
Assume two semesters equals 8 months total. Also assume Kirk has no other expenses than what he has listed here.
Scholarship for each Semester: $1,157.9
Tuition & Books Cost per Semester: $2,000
Housing Cost for a two-semester Contract: $1,025
If he has money left, what is the average monthly amount Kirk can afford to spend each month?
If he has overspent, what is the average monthly amount Kirk would be in debt each month?
(Indicate this amount with a negative sign)
(Round your answer to the nearest cent)
Kirk can spend $695.89 each month.
AveragesGiven that Kirk worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school, and Kirk will receive a scholarship each semester for $1,157.9, to determine, if he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items, assuming two semesters equals 8 months total, the following calculation must be made:
(3251.35 + (1157.9 x 2)) / 8 = X(3251.35 + 2315.8) / 8 = X5567.15 / 8 = X695.89 = XTherefore, Kirk can spend $695.89 each month.
Learn more about averages in https://brainly.com/question/12322912
#SPJ1
Answer:
Kirk can spend $695.89 each month.
Step-by-step explanation:
pls answer ill mark brainlist in the screenie
Answer:
the green socks are cheaper than the orange
Step-by-step explanation:
common maths
Answer:
Green socks graph: 3-5, 6-10, 9-15, 12-20, 15-25
Orange socks graph: 5-9, 10-18, 15-27, 20-36, 25-45
Green socks are cheaper
Step-by-step explanation:
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
The bulder needs to cut
? Inches off the block of wood.
Answer:
1.25 inches
Step-by-step explanation:
5 - 5% is 4.75
4.75 - 3.5 is 1.25
Write the slope -intercept form 3x-5y=-15
Answer: M= 3/5
Step-by-step explanation: 3/5x=3= M=3/5
i hsve two questions, Matt is making a picture frame from a piece of wood trim that is 27 8 278 feet long. How can Matt rename the fraction as a mixed number?
and
Use comparative relational thinking to find the unknown number.
116
+
58
=
135
+
n
n
=
31
n is equal to 31
n
=
33
n is equal to 33
n
=
39
n is equal to 39
n
=
174
Answer:
Step-by-step explanation:
Indicate True of False for 3g > 15 Substitute 5 for g.
Answer:
False
Step-by-step explanation:
(3)(5)>15
15>15
False
Pls need help Giving brainlest to the right anwser!!!
Answer:
1/6 or 3p = 1/2
Step-by-step explanation:
1/2 = 3p is the equation
So we need to divide 1/2 by 3 in order to get p
1/2/3 = 1/6
1/6 is p
3p = 1/2
You deposit $300 in an account that pays 1.48% annual interest. What is the balance after 1 year if the interest is compounded daily?
A. $368.57
B. $304,47
C. $301.48
D. $301.01
Answer:C. $301.48
Step-by-step explanation:
Can someone answer this please
Answer:
Blue
Step-by-step explanation:
A straight line has an angle of 180 on each side.
5a+18+24-a+8a-30=180
12a+12=180
12a=168
a=14
Green: 14x5+18=88
Blue:24-14=10
Yellow:8x14-30=82
Find the equation of the straight line which passes through (3,5) and makes y-inte
r-intercept.
Answer:
Please restate your question.
It needs the y-intercept to be decipherable.
Step-by-step explanation:
Does anyone know generic rectangles?
Answer:
here you go i guess
Step-by-step explanation:
Wow! There are 51 rabbits. Round 51 to the nearest 10,
Answer:
it 50
Step-by-step explanation:
Answer:
The answer (I think) is 50.
Step-by-step explanation:
I'm a little cautious, just cause because this question seems so easy.♀️
51 is closest to 50, so 51 rounded to the nearest tenth is 50.
Could I be marked as Brainliest please???
Janet has 4 more dollars than Marta. Together they
have $38. How much does each person have?
Answer:
Janet has $21 and Marta has $17
Step-by-step explanation:
38-4 since Janet has 4 more dollars
34/2 since there are two people
17 but you still have to add the 4 to Janet since she has 4 more dollars
Answer:
Marta has $15, and Janet has $23.
Step-by-step explanation:
38 in half is 19.
19 + 4 = 23
19 - 4 = 15