Find each value or measure. Assume that segments that appear to be tangent are tangent.
Answers
Answer:
Step-by-step explanation:
13). ( x - 2 )( x + 6 ) = 9 × 20
x² + 4x - 12 = 180
x² + 4x - 192 = 0
( x - 12 )( x + 16 ) = 0
[tex]x_{1}[/tex] = - 16
[tex]x_{2}[/tex] = 12
14). ( x + 4 )[( x + 4 ) + 3x ] = 8 × ( 8 + 19 )
( x + 4 )( 4x + 4 ) = 216
4( x + 4 )( x + 1 ) = 216
( x + 4 )( x + 1 ) = 54
x² + 5x + 4 - 54 = 0
x² + 5x - 50 = 0
( x - 5 )( x + 10 ) = 0
[tex]x_{1}[/tex] = - 10
[tex]x_{2}[/tex] = 5
15). x( x + 16 ) = 15²
x² + 16x - 225 = 0
( x - 9 )( x + 25 ) = 0
[tex]x_{1}[/tex] = - 25
[tex]x_{2}[/tex] = 9
16). Now is your turn. You can do it!
The measurements are given in the solution below.
What is a circle?Circle definition states a shape that consists of points, in a two-dimensional plane, equidistant from a given point.
Given that the circles we need to find the given missing values,
Using the properties of the circles,
1) (x-2) (x+6) = 20 × 9
x² + 6x - 2x - 12 = 180
x² + 4x - 192 = 0
x = 12 or x = -16.
2) 8 × (8+19) = x+4 (x+4 + 3x)
216 = x + 4 × (4x + 4)
216 = 4x² + 4x + 16x + 16
4x² + 20x - 200 = 0
x² + 5x - 50 = 0
x = 5 or x = -10
3) 15² = 16x
x = 225/16
x = 14.06
4) (x+7)² = 18 × 14
x² + 49 + 14x = 252
x² + 14x - 203 = 0
x = 8.87
x = -22.87
Learn more about circles click;
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Related Questions
A rectangular garden 50 m long by 34 m wide is surrounded by a sand path of uniform width. Calculate the width of this path if it is known that it has an area of 540 cm2.
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Considering a width x of the sand path, we have a larger rectangle of dimensions 50+2x by 34+2x, as indicated in the figure. Now, the area of the sand path is expressed.
[tex]\boldsymbol{\sf{ (50+2x)(34+2x)-50\times 34=540\Longrightarrow\quad 0=4x^2+168x-540 }}[/tex]
[tex]\boldsymbol{\sf{ 0=4(x^2+42x-135)=4(x-3)(x+45) }}[/tex]
Therefore, the path is 3 m long.
help me solve this problem please
Answers
hope this helps :D
What is the volume of this figure?
Enter your answer in the box.
Answers
Answer:
Pls list the figure-
Step-by-step explanation:
If you dont list it we cant help you if its a cube just multiply the sides
Find the surface area of a square pyramid or it’s side length 5m and. Slant height 4m
Answers
Answer:
h = height s = slant height a = side length P = perimeter of base e = lateral edge length r = a/2 V = volume L = lateral surface area B = base surface area A = total surface area
A = 72.17 m2
Step-by-step explanation:
hope this helped!
The expression "-280" + 18 represents a submarine that began at a depth of feet below sea level and ascended at a rate of 18 feet per minute. What was the depth of the submarine after 5 minutes?
Answers
plsss help and explain how to do it because im confused
Answers
Convert the fraction below into a decimal using
long division. Round any repeating decimals to
the thousandths.
13/15
Answers
Answer:
0.86666666666667
Step-by-step explanation:
What we have to do is do 13 divided by 15 which equals 0.86666666666667.
Can someone help please!!
Answers
30 is next to 90, 90 goes reflection is 90
The volumes of two similar solids are 210 m3 and 1,680 m3. The surface area of the larger solid is 856 m2. What is the surface area of the smaller solid? 107 m2 214 m2 1034 m2 6848 m2.
Answers
The surface area of the smaller solid according to the task content is; 107m²
What is the surface area of the smaller solid?It follows from task content that the two solids are similar. On this note, the same formula applies for calculating their areas and volume.
Since, surface area is directly proportional to the volume in both shapes;
The surface area of the smaller solid is;
A = (210 × 856)/1680
A = 107m².
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Answer:
A
Step-by-step explanation:
Find the area of a circle with radius, r = 76cm.
Give your answer rounded to 3 SF.
Answers
Answer:
17,700.00
Step-by-step explanation:
Area of a circle = 22
------ r2
7
=22
------ 76x76 =123,750
7 ---------- =1,768.571
7
1,768.571 rounded to 3 SF=17700.00
Math question 10 points
Answers
Answer: (a)
Step-by-step explanation:
the last step is
clear x
X=15.9/6.36
the answer is 5/2 or 2.50
if 39 is 5% of a number, what is that number? How did you get your answer?
Answers
Answer:
780
Step-by-step explanation:
☞ To find the solution, divide 39 by 5% and multiply by 10
P = 39 * 5%(0.5) = 78
P = 78 * 10 = 780
The diameter of a circle is 14 kilometers. What is the circle's area? d=14 km Use 3.14 for . square kilometers
Answers
Answer:
153.86
Step-by-step explanation:
The equation for the area of a circle is A = πr^2. The "r", in this sense, is the radius, which is half of the diameter. If the diameter is 14 then the radius is 7. The radius will then be squared to create 49, as 7 multiplied by itself is 49. The number must then be multiplied by π, or in this case, 3.14. This will give you the answer of 153.86.
A cylinder has a radius of 4.5 inches and a height of 15 inches. If the radius is doubled, how would it affect the original volume of the cylinder?
Answers
Answer:
The volume will be increased 4 times.
Step-by-step explanation:
Short mathy expl:
If the radius is "doubled" that is 2 times bigger. But in the volume formula, the radius is squared. So 2 times bigger AND squared makes it FOUR times bigger.
See the volume calculations:
original--
Vol = pi•r^2•h
= (3.14)•4.5^2•15
= 953.775
new/bigger radius--
Vol = 3.14•9^2•15
= 3815.1
So when the radius is doubled, going from 4.5 to 9, the volume goes from 953.775 to 3815.1
3815.1 is 4 times 953.775
I need help please answer
Answers
Answer:
It will be in quadrant one if it flips across the x-axis becuase the x-axis will take it toward the right which is the quadrant 1
Step-by-step explanation: hope this helps
Answer:
Quadrant III
Step-by-step explanation:
When you reflect across the X-axis, you flip it over the horizontal line. The Quadrants are numbered like this : 2 1
3 4
So it will be in Quadrant III
Could someone please answer and explain the following question?
Answers
Answer:
see explanation
Step-by-step explanation:
the error in the question is that
sec²x = [tex]\frac{1}{cos^2x}[/tex] ≠ [tex]\frac{1}{sin^2x}[/tex] , and
csc²x = [tex]\frac{1}{sin^2x}[/tex] ≠ [tex]\frac{1}{cos^2x}[/tex]
have been used incorrectly in simplifying the expression
then
[tex]\frac{tan^2x+1}{1+cot^2x}[/tex]
= [tex]\frac{sec^2x}{csc^2x}[/tex]
= [tex]\frac{\frac{1}{cos^2x} }{\frac{1}{sin^2x} }[/tex]
= [tex]\frac{1}{cos^2x}[/tex] × [tex]\frac{sin^2x}{1}[/tex]
= [tex]\frac{sin^2x}{cos^2x}[/tex]
= tan²x
which functions have a maximum and are transformed to the left and down of the parent function, f(x)=x²? check all that apply
p(x)=14(x+7)²+1
q(x)=-5(x+10)²-1
s(x)=-(x-1)²+0.5
g(x)=2x²+10x-35
t(x)=-2x²-4x-3
Answers
Answer:
q(x) and t(x)
Step-by-step explanation:
p(x) has no maximum (bc it's an upward parabola) and is shifted up from the parent equation
q(x) has a maximum (downward parabola) and is shifted left and down from the parent equation
s(x) has a maximum (downward parabola), but is shifted right and up of the parent equation
g(x) has no maximum (upward parabola) but is shifted left and down
t(x)has a maximum (downward parabola) and is shifted left and down from the parent equation
See the attached image for details :) hope this helps!
If MNPQ is a quadrilateral, what is angle MQP
Answers
Answer:
62°Step-by-step explanation:
angle M = angle Q
(An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.)
so
Angle Q = 30 + 32
Angle Q = 62°
I need help. I'm desperate. Find the area of the shaded region, round to the nearest tenth. I will give brainliest
the answer is NOT 17.4
Answers
ANSWER
A. (243pi+162) ft^2
EXPLANATION
The area of the shaded region is the sum of the area of the major sector and the area of the isosceles triangle.
Area of major sector
[tex]=\frac{360-90}{360}[/tex] × [tex]\pi[/tex] × [tex]18^2[/tex][tex]=243\pi ft^2[/tex]
The area of the isosceles triangle is calculated using the formula;
[tex]=\frac{1}{2}r^2sin(0)[/tex]
[tex]=\frac{1}{2}[/tex] × [tex]18^2[/tex] [tex]sin(90)[/tex][tex]=162ft^2[/tex]
The area of the shaded region
[tex]=(243\pi +162)ft^2[/tex]
The correct answer is A.
Please help! Also please explain how you got any of the answers!
Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.
Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answers
Answer:
hey dude try doing them first then ask people thry are easy also open your book and see the steps there
I need help please asap ! Quick answer
Answers
Answer:
I think that is the fist one.
SOMEONE HELP I DON'T UNDERSTAND :(
4) Solve for x and find the measure of angle zxy
Answers
Answer:
Angle zxy = 55 degrees, x = 12
Step-by-step explanation:
Since the angle WXY is labeled as a right angle from the square in the angle, and angle WXZ is 35 degrees, we know that angle ZXY must be 55 degrees, because 55+35 = 90. Then to solve for x, we use the measure of angle ZXY to construct the equation 4x+7 = 55. subtract 7 from both sides to get 4x = 48, then divide both sides by 4 to arrive at the answer of x = 12.
Is the sequence arithmetic? If so, identify the common difference.
11, 15, 19, 23, ...
Answers
Answer:
Yes, the common difference is 4
Step-by-step explanation:
In an arithmetic sequence, you are either adding or subtracting the same number. In this case, you are adding 4 each time. 11+4=15 15+4=19 19+4=23
can someone help i is confused
Answers
Answer:
The answer is c (the one outlined in blue)
Step-by-step explanation:
1. Angelo is wrong. Just start with the 1st one. 1+1.25 DOES NOT EQUAL 1.25
2. Try all the other ones, they don't work.
3. 1*1.25=1.25 (it works!) 2*1.25=2.50 (it works!) 3*1.25=3.75 (it works!)
help me find the slope of the roof plss
Answers
Answer:
The slope of the roof is 2ft / 6ft = 1ft / 3ft
Step-by-step explanation:
slope = rise / run
rise is the increasing height = 2ft
run is the length = 6ft
slope = 2ft / 6ft this can be simplified to 1ft / 3ft
A particular type of bacteria splits into 2 every 30 minutes. There are 8 bacteria in the petree dish when you start your shift of looking after the culture. Write an exponential function B(t) where t is the time periods elapsed and B is the number of bacteria.
Answers
Show all work necessary to solve each problem.
1. Solve the following equation step by step. Write a reason for each step-
2(x-18)+ 3x = 24
Answers
Answer:
x = 12
Step-by-step explanation:
2(x-18)+ 3x = 24
distribute the 2
2x - 36 + 3x = 24
combine like terms
5x - 36 = 24
+ 36 on both sides
5x = 60
divide by 5
x = 12
Please help! 25 points
Answers
Answer:
C.
Step-by-step explanation:
Which relation is also a function?
A. ((10, 5), (5, 10), (15, 5), (20, 25),
(25, 15))
B. ((10, 5), (5, 10), (15, 10), (20, 25),
(20, 15))
C. x 5 10 20 10 25
y 10 5
15 15 20
5
2
D.
3
7
B
Answers
Answer:
A
Step-by-step explanation:
A because the vertical line test passes if you graph all the points.
if there are 95 students in a school and there are 12 classes how many students are in each class
Answers
Answer:
11 classes will have 8 students, 1 class will have 7 students
Step-by-step explanation:
Take the total number of students and divide by the number of classes
95 / 12 =7.916666
Most classes will have 8 students, 1 class will have 7 students