Answer:
DF = 9.5
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
DE × DF = DC × DB
5(5 + x) = 5(5 + 4.5) ← divide both sides by 5
5 + x = 5 + 4.5
5 + x = 9.5 ( subtract 5 from both sides )
x = 4.5
Then
DF = DE + EF = 5 + 4.5 = 9.5
A rectangular foto frame has an area of 200 square centimeters.Its lengh is 20 centimeters. a.Find the with of the foto frame b.Find the perimeter of the foto frame
Answer:
Width = 10cmPerimeter = 60 cmStep-by-step explanation:
a. Width
We are given the area and the length so we can use this to find the width using the formula for rate:
Length * Width = Area
20 * w = 200
20w = 200
w = 200/20
w = 10 cm
b. Now that you have both the length and the width, the perimeter is:
= (2 * length) + (2 * width)
= (2 * 20) + (2 * 10)
= 40 + 20
= 60 cm
Approximate the length of the hypotenuse of the right triangle to the nearest tenth of a unit.
Answer:
Assuming each box = 1 unit, the answer is 7.2
Step-by-step explanation:
write a quadratic function in standard form whose graph passes through (-6,0)(-4,0)(-3,-18) f(x)= [answer]
Using the Factor Theorem, the quadratic equation is given by:
[tex]f(x) = 6(x^2 + 10x + 24)[/tex]
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem, we have a quadratic function, meaning that it has two roots, and it passes through (-6,0) and (-4,0), hence the roots are [tex]x_1 = -4, x_2 = -6[/tex], thus:
[tex]f(x) = a(x + 4)(x + 6)[/tex]
[tex]f(x) = a(x^2 + 10x + 24)[/tex]
Considering that it passes through (-3, -18), we can find a, hence:
[tex]18 = a[(-3)^2 + 10(-3) + 24][/tex]
[tex]3a = 18[/tex]
[tex]a = 6[/tex]
Hence the equation is:
[tex]f(x) = 6(x^2 + 10x + 24)[/tex]
More can be learned about the Factor Theorem at https://brainly.com/question/24380382
Ten points and Brainliest if answered correctly with no links!
Answer:
A!
Step-by-step explanation:
Hope that helps have an amazing day! <3
Solve for w: v = 3p (w -r)
Answer:
Step-by-step explanation:
v=3p(w-r)
v=3pw-3pr
v+3pr=3pw
(v+3pr)/3p=w
On Tuesday afternoon at camp, Connor did archery and sailing before dinner. Archery started at 12:00 P.M. Connor spent 1 hour and 15 minutes at archery and 2 hours sailing. What time did sailing end?
Answer:
Sailing end at 3:15 AM
Step-by-step explanation:
Connor did archery and sailing before dinner (in that order).
He started at 12:00 PM
We know that:
In archery, Connor spent 1 hour and 15 minutes
In sailing, Connor spent 2 hours.
The total time spent is:
1 hour + 15 minutes + 2 hours
3 hours + 15 minutes.
Then sailing end 3 hours and 15 minutes after 12:00 pm = 0:00 am, this is:
3:15 AM
Sailing end at 3:15 AM
Use 3.14 for π Round to the nearest 100th if necessary A ball has a diameter of 20 inches. What is its volume?
Answer:
4186.67 cubic inches
Step-by-step explanation:
Volume of a sphere = 4/3 π r³
π = 3.14
Diameter = 20 inches
Radius = r = Diameter/2 = 20 inches/2 = 10 inches
Volume of the sphere = 4/3 × 3.14 × (10 inches)³
Volume of the sphere = 12560 ÷ 3
= 4186.6666667 cubic inches
Approximately to the nearest hundredth = 4186.67 cubic inches
Therefore, the volume of the ball is 4186.67 cubic inches.
Write an explicit formula for AN, the NTH term of the sequence 2, 4, 6
Answer:
2n.
Step-by-step explanation:
This an arithmetic sequence with a1 = 2 and d = 2
an = a1 + d(n - 1)
= 2 + 2(n - 1)
= 2n + 2 - 2
= 2n.
A large western stare consists of 3872 million acres of land. Approximately 82% of this land is federally owned. Find the number of acres that are not federally owned.
Answer:
696.96 million acres of land
Step-by-step explanation:
Acres not federally owned = Percentage of acres not federally owned x total acres of land
Percentage of acres not federally owned = 100% - percentage of acres federally owned
100% - 82% = 18%
0.18 x 3872 = 696.96 million acres of land
PLEASE HELP ASAP!! EXPLANATION = BRAINLIEST! THANK YOU SO SO MUCH
A model of Spaceship Earth, a major tourist attraction at Epcot Center in Florida, is a sphere whose diameter is approximately 5 inches.
The volume of the model sphere is approximately ___ cubic inches.
Use 3.14 for pi. Round only your final answer to the nearest hundredth.
Answer:
See below.
Step-by-step explanation:
As the diameter is 5 inches, the radius “r” is 5/2 = 2.5 inches.
We calculate the volume of a sphere as follows: [tex]V = 4/3 \pi r^3[/tex]
As we have to use 3.14 for pi, we’ll use that instead of “true” pi.
The formula becomes:
[tex]V = 4/3*3.14*2.5^3 = 65.42[/tex]
The volume of the sphere is 65.42 cubic inches.
Find the value of x with the other angles of 33 and 99
Answer:
48°
Step-by-step explanation:
33+ 99= 132
180 is the sum of all angles so u would subtract 132 from 180 giving you the answer
Answer:
If x is the last angle of a triangle, x=48. is its a just angles its, x=228.
Step-by-step explanation:
If it's a triangle its because triangle sum theorem states that all angles in a triangle add up to 180 degrees. So add the angles you know an subtract it from 180.
If it's just angels then you just need to again, add the angles you know but this time subtract it from 360 as that's he most degrees an angle can go.
After a 3 hour snow storm there are 9 inches of snow on the road. What is the rate per inch?
Answer:
I inch per hour for 2 hours = 2 inches
2 inches per hour for 6 hours = 6*2 = 12 inches
1 inch per hour for 1 hour = 1 inch
2+12+1 = 15 inches of snow total
Step-by-step explanation:
credit to: musiclover10045
A soccer league has 170 players. Of those players 60% are boys. How many boys are in the soccer league?
Answer:
102
Step-by-step explanation:
170*(60%) = 170 *0.6= 102
60% of the entire part is also 0.6
can someone please help me with this
PLZZ anyone....l will give BRAINLIEST...
Step-by-step explanation:
x= how many members are in the group
x= 100/x
x= 100/(x-5)
x(x-5)=100
x^2-5x=100
x^2-5x-100=0
and then use the quadratic formula (i can't type it srry)
Answer:
25 membersStep-by-step explanation:
Initial number of members: x
Sum of money: K£ 100
Each had to pay: 100/x
Five members less, each paid K£1 more, we get equation:
100/x + 1 = 100/(x - 5)Multiply all terms by x(x - 5) and solve the quadratic equation:
100(x - 5) + x(x - 5) = 100x100x - 500 + x² - 5x - 100x = 0x² - 5x - 500 = 0x = (5 + √(5² + 4*500))/2 x = (5 + √2025)/2x = (5 + 45)/2x = 25The second root is ignored as negative.
Someone please help me out!!
Answer:
1
when using a quadratic ration 1 is the formatted answer
Step-by-step explanation:
Who's gonna answer my last math question??
Answer and Step-by-step explanation:
The answer would be A.
This is because we don't know how many students correctly answered 29 questions, but we do know how many students correctly answered 20-29 questions on the test.
As for the other answers, it asks about the full range and not a specific number.
#teamtrees #PAW (Plant And Water)
what is the answer to
5 x plus 8 plus 3 x equals 26 plus 6 x
Answer:
Step-by-step explanation:
according to the question equation is
5x+8+3x=26+6x
8x+8=26+6x
8x-6x=26-8
2x=18
x=18/2
x=9
Answer:
x=9
Step-by-step explanation:
A line is perpendicular to y = 3/7x - 2 and intersects the point (3, 3). What is the equation of this perpendicular line?
Answer:
y = -7/3x + 10
Step-by-step explanation:
Step 1: Find the slope of the perpendicular line
Do this by taking the negative inverse of the first line
m = -7/3
Step 2: Find b
y = mx + b
y = -7/3x + b
3 = -7/3(3) + b
3 = -7 + b
b = 10
PLEASE HELP!! THIS FOR THE LAST ASSIGNMENT FOR THE SUMMER!!! 20 POINTS FOR ANSWER AND END OF SCHOOL YEAR!!!
A writer has just finished typing the manuscript for a book that is 354 pages long. There is one illustration on every thirtieth page, starting on page 1. How many illustrations are there?
A. 13 illustrations
B. 11 illustrations
C. 14 illustrations
D.12 illustrations
Answer:
11
Step-by-step explanation:
dont forget to five-star and heart!
helllllllllllllllllllooooooooooooooooooooooooooooooo free 50 pointssssssssssssseses
Answer:
it says 5 points u baiting us?XD
Step-by-step explanation:
Answer:
Helloooo
Step-by-step explanation:
Its just 5 point but thanks :)
Question 2
A rectangular piece of board is 0.894 m long and 0.665 m wide. Which of the following
shows the board's dimensions, each written to one decimal place?
a rectangular plot has a perimeter of 124cm. The width is 2cm shoter than the lengh.What is the area of the rectangle?
Answer:
[tex]area = 960cm^2[/tex]
Step-by-step explanation:
Perimeter = 2 x (length + width) ------(1)
Perimeter = 124cm
Let length be x
Given width is 2cm shorter than length , that width = x -2
[tex]Perimeter = 2 (x + (x -2))\\\\124 = 2(x +x -2)\\\\62 = 2x -2 \\64 = 2x\\x = 32[/tex]
Length = 32cm
Width = 32 - 2 = 30cm
Area = length x width
[tex]= 32 \times 30 = 960cm^2[/tex]
A 32 oz water bottle costs $10.70.
___ oz per water bottle
___ dollars per ounce
round answer to nearest hundredth
Answer:
32 oz per water bottle
$0.33 dollars per ounce
Step-by-step explanation:
We are already given 32 oz as the amount per water bottle, so all we need to do is calculate the dollars per ounce. We can do this by dividing the cost of the water bottle by the number of ounces.
$10.70 ÷ 32= 0.334375 ------> 0.33
Rounding to the hundredths place we get $0.33.
HELPPPPPPP PLEASE HELPPPPPPPPPPPPP IM BEGGING SOMEONE PLEASE HELP
665.8 rounded to the nearest tenth of a cubic meter
If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit. Example
124.58
The first number of right of decimal point is 5
The second digit after decimal point is 8 which is greater than 5
So add 1 to 5
Result = 124.6
no answer just explanation,
If the area of the rectangle is 90 km?, then what is the value of the missing side?
A)
6 km
B)
10 km
15 km
D)
42 km
E)
54 km
what is the value of x, if x = 3²
Show Explanation
A. 32
B. 9
C. 8
D. 6
Answer:
9
Step-by-step explanation:
x = 3^2
x = 3*3
x = 9
Answer: . 9
Step-by-step explanation:
Simplify both sides of the equation.
Gracie needs to measure 2⅜ cups of sugar. How many times must she fill up a ⅓ measuring cup to get the correct amount of sugar?
Answer:
7 and 1/8 i think
Step-by-step explanation:
Try your best to answer it
Answer:
y=-4(x,y)=(0,-4)
y=-3(x,y)=(2,-3)
y=-2(x,y)=(4,-2)
y=-1(x,y)=(6,-1)
y=0(x,y)=(8,0)
y=1(x,y)=(10,1)
Step-by-step explanation:
Answer:
Answer attached
Step-by-step explanation:
I think you can plot it in the graph.