Line segments AB and CB intersect outside of circle P as shown below. What is the value of x?
Answers
Answer:
4.5
Step-by-step explanation:
The Interesecting Secants Theorem states that when two secant lines intersect each other outside a circle, the products of their segments are equal. A secant is a straight line that cuts a curve in two or more points, so this definitely applies here, as both AB and CB interesect the circle twice.
Using this theorem, we can say that 6*3=4*x, so 18=4*x and x=4.5
Related Questions
please help me guys I am in trouble
Answers
Answer:
16π
Step-by-step explanation:
The circle touches the X-axis and center at (3,4), the coordinate is representing as (x, y), so the radio will be r = y (circle touches the X-axis), and the formula of circle area is π * r^2, so:
π * 4^2 is equal to 16π
we want to factor the following expression (x-3)^2-10(x-3)+25 which pattern can we use to factor the expression
Answers
Answer:
This question is asking for the pattern , not the factoring of it...
this is the [tex](a+b)^{2} pattern = a^{2} + 2ab + b^{2}[/tex]
Step-by-step explanation:
Answer:
(x - 8)²
Step-by-step explanation:
This is in the form of a perfect square, that is
(x + b)² = x² + 2bx + b²
with x = x - 3 and by comparison of like terms
2b = - 10 ⇒ b = - 5
Then
(x + b)²
= (x - 3 - 5)²
= (x - 8)² ← in factored form
A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth
Answers
Answer
16.25
Step-by-step explanation: To The Nearest Hundredth
(-1, 2), (3, 1)
√17
(3, 1), (7, 2)
√17
(3, 1), (7, 2)
√8
So our answer is =
8 + √17 + √17 = 16.25
hope it works for you!
A 68-year old retiree has a pension savings of $51,000, a 401k of $58,000, and an IRA account of $68,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and −1% in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 1% from the pension, 2% from the 401k, and 6% from the IRA. What is the relevant information for the amount that the retiree will have in his pension if he doesn't take money out now?
A: The retiree had 2% more cash in the pension in 2008
B: The retiree has a pension savings of $51,000
C: The retiree has a 401k of $58,000
D: The retiree has an IRA account of $68,000
Answers
Answer:
B: The retiree has a pension savings of $51,000
Step-by-step explanation:
Larry works at the Gap Clothing Store. He works 15 hours week. If his manager cuts all employee hours by 20%, how many hours a week will Larry work now.
Answers
Answer:
12 hours
Step-by-step explanation:
Find 20% of 15 hours
15 * 20%
15 * .2
3
Subtract this because his hours are cut
15-3
12
Find the value of the angle θ rounded to 1 DP.
The diagram is not drawn accurately
Answers
Answer:
Find length opposite to 30deg
Opposite = tan(30)*42
= 24.2
Whole side = 24.2+10
Find angle of 0 + 30deg: (say x)
Tan(x) = 33.2/42
Arctan(0.79) = x
x = 38.3
The angle to find:
38.3-30:
8.3
The angle is 8.3deg.
Need help on this!!! 10 points!!!
Answers
Hope this helps :))
Alt Test 7 -6 -5 -4 -3 -2 -1 2 3 1 Le 6 N . 1 -Z -3 -4 รา -6 In this graph, the y-intercept of the line is The equation of the line is y= y X
Answers
Answer:
[tex]{ \tt{y = y {}^{x} }} \\ y - intercept : { \tt{y = {y}^{0} }} \\y = 1[/tex]
Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of pi.
Answers
Answer:
1152\pi\
Step-by-step explanation:
Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of boxes with the apples in them.
Answers
Answer:
5.4
Step-by-step explanation:
Juss took the test
Express y in terms of x in the equation =
Answers
Jessica filled the birdbath in her yard with 4 liters of water. How many milliliters of water did she put in the birdbath?
Answers
Answer:
4,000 milliliters
Step-by-step explanation:
There are 1,000 millililters in one liter. 4*1,000=4,000.
Answer:
4,000 mL
Step-by-step explanation:
there are 1,000 mL in one liter so there are 4,000 mL in four liters
Pls help me answer this question. Picture attached
Answers
Answer:
300
Step-by-step explanation:
to find volume u will have to multiply the length x width x breadth which is 5x5x12=300
Please help me as soon as possible!
36 - 2s² + t²
S = 2
T = 8
Answers
Answer:
i think its 20
Step-by-step explanation:
PLEASE HELP
Find the number of edges on this solid
Answers
Answer:
8
Step-by-step explanation:
count the number of solid-black lines.
can you help me do this Q I can't seem to get it :)
Answers
9514 1404 393
Answer:
x = 3∠IEH = 61°∠IHE = 35°Step-by-step explanation:
There are a couple of useful facts about parallelograms that can be used here.
1) The diagonals bisect each other.
2) Opposite sides are parallel, so each diagonal can be considered a "transversal" with respect to parallel lines. That means all of the angle relationships involving parallel lines apply.
__
The two marked sections of diagonal GIE are congruent, so you have ...
3x +1 = 10
3x = 9 . . . . subtract 1
x = 3 . . . . . divide by 3
__
Angles IEH and IGF are "alternate interior" angles, so are congruent.
angle IEH = 61°
__
Angles IHE and IFG are "alternate interior" angles, so are congruent.
angle IHE = 35°
rotation,
glide reflection,
reflection,
translation.
Answers
Answer:
it appears to have TRANSLATED
What is the formula or equation for this problem I don’t understand
Answers
Answer:
B
Step-by-step explanation:
From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.
9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.
25x + 5 = 180
25x = 180 - 5
25x = 175
x = 7 (it's 7 because u divide 175 by 25)
now let's substitute in the angle < DCB( 16x):-16 × 7= 112
To get < ABC lets use the property of parallelogram which says tha adjacent angles are supplementary. which means <ABC + <DCB = 180
<ABC + 112 = 180
< ABC = 180 - 112
< ABC = 68
answer credits: melatleul
find the value of a²+b
if...
a=-2 and b=5
Answers
Answer:
9
Step-by-step explanation:
a^2 +b
Let a = -2 and b = 5
(-2)^2 +5
Exponents first
4 +5
Then add
9
Answer:
9
Step-by-step explanation:
Here, we have to observe that a^2 = a×a =-2 × -2 = 4
hence, a^2 + b = 4 + 5 = 9.
The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have
concessions and restrooms. Arrange the structures in the sports complex using translations, reflections, and rotations so that the final
arrangement satisfies each of these criteria:
. All the fields and buildings fit on the provided lot.
• Each field is adjacent to at least one building for ease of access.
. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
• For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball
field.
Answers
Answer:
See Explanation
Step-by-step explanation:
(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.
According to the question,
Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms. Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria: All the fields and buildings fit on the provided lot. Each field is adjacent to at least one building for ease of access. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.) For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball fieldFind sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.
Answers
Answer:
Find the answers below
Step-by-step explanation:
Using m<X as the reference angle
Opposite YZ = 7
Adjacent XY = 10
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinX = opp/hyp
sinX =YZ/XZ
sinX = 7/√149
For cos X
cos X = adj/hyp
cos X =10/√149
Using m<Z as reference angle;
Opposite XY = 10
Adjacent YZ = 7
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinZ = opp/hyp
sinZ =10/√149
sinZ = 7/√149
For cos Z
cosZ = 7/√149
Martina read that the average graduate student is 33 years old. She wanted to estimate the mean age of graduate students at her large university, so she took a random sample of 30 graduate students. What is Martina's margin of error?
Answers
Answer: Martina's margin of error is 1.5.
Step-by-step explanation:
Given: Average graduate student (upper limit) = 33
Random sample graduate student (lower limit) = 30
Formula to calculate margin of error is as follows.
Margin of error = [tex]\frac{upper limit - lower limit}{2}[/tex]
Substitute the values into above formula as follows.
[tex]Margin of error = \frac{upper limit - lower limit}{2}\\= \frac{33 - 30}{2}\\= \frac{3}{2}\\= 1.5[/tex]
Thus, we can conclude that Martina's margin of error is 1.5.
HELP
Use the definition of continuity and the properties of limits to show that’s the function…
Answers
Answer with Step-by-step explanation:
We are given that
[tex]g(x)=(x^2-3x-10)(x^2+2x^2-5x+4)[/tex]
x=-1
Using property of limit
[tex]\lim_{x\rightarrow -1}g(x)=\lim_{x\rightarrow -1}(x^2-3x-10)(3x^2-5x+4)[/tex]
=[tex](1+3-10)(3+5+4)[/tex]
=[tex](-6)(12)[/tex]
=[tex]-72[/tex]
[tex]g(-1)=(1+3-10)(1+2+5+4)[/tex]
[tex]g(-1)=(-6)(12)=-72[/tex]
[tex]\lim_{x\rightarrow -1}g(x)=g(-1)[/tex]
Hence, the function is continuous at x=-1
Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?
Answers
Answer:
5 loaves
Step-by-step explanation:
13 1/3 divided by 2 2/3 is 5 so the answer is 5 loaves.
Rewrite the fractions as improper fractions then divide the total amount used by the amount per loaf:
13 1/3 = 40/3
2 2/3 = 8/3
40/3 / 8/3
When dividing by a fraction flip the fraction over and multiply
40/3 x 3/8 = (40 x3) /( 3 x 8) = 120/24 = 5
She made 5 loaves of bread.
Connor's balcony is 5 feet wide and 9 feet long. Connor paid $3.00 per square foot to have the balcony stained. How much did he pay?
Answers
Answer:
135
Step-by-step explanation:
9*5=45*3=135
Bruce Wayne trabaja en un proyecto inmobiliario, éste consiste en un edificio con forma de prisma de base triangular, cuya planta baja se caracteriza por tener una piscina, un gimnasio y una cancha deportiva. Batman tiene este bosquejo de dicho proyecto: Los terrenos destinados para la piscina, el gimnasio y la cancha deportiva son cuadrados, de modo que la superficie de la cancha es de 2.500 m2 y la de la piscina es de 1.600 m2 . ¿Cuál es la superficie destinada al gimnasio?
Answers
Answer:
El área del gimnasio sería 2000 metros cuadrados
Step-by-step explanation:
Un lado del gimnasio será igual al lado de la cancha y el otro lado será igual al lado de la piscina.
Dado que tanto la cancha como la piscina tienen forma cuadrada. El lado de la cancha será raíz cuadrada de 2.500 m2 y el de la piscina será raíz cuadrada de 1.600 m2
Por lo tanto, el lado del gimnasio sería 50 y 40.
El área del gimnasio sería 50 * 40 = 2000 metros cuadrados
Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)
A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8
Answers
Answer:
D
Step-by-step explanation:
4x+3y -4x -y = 17 -9
<=> 2y =8
Was this equation solved correctly? How do you know?
Subtract three from both sides
Combine like terms
Divide by 4 on both sides
Simplify
19 = 4x + 3
19 - 3 = 4x + 3-3
16 = 4x
16/4 = 4x/4
3 = x
Answers
Which is NOT an example of continuous data?
A)
time it takes to cut the grass
B)
Lifetime (in hours) of a flashlight battery
C)
weights of dogs in animal shelter
D)
number of cheeseburgers sold yesterday at a drive-thru
Answers
Answer:
Solution
Height is not an example of a continuous variable.
D) The number of cheeseburgers sold yesterday at a drive-thru is not an example of continuous data.
Here, we have,
Continuous data refers to numerical data that can take on any value within a certain range or interval. It typically involves measurements or quantities that can be expressed as real numbers.
A) The time it takes to cut the grass can be measured in minutes or seconds, and it can take on any value within a range. This is an example of continuous data.
B) The lifetime (in hours) of a flashlight battery is a continuous variable. It can take on any value within a range, such as 5.3 hours, 10.7 hours, or any decimal or fractional value.
C) The weights of dogs in an animal shelter can be measured in pounds or kilograms and can take on any value within a range. This is also an example of continuous data.
D) The number of cheeseburgers sold yesterday at a drive-thru is a discrete variable. It represents a count or a whole number, such as 50 cheeseburgers, 100 cheeseburgers, etc. Discrete data involves distinct values and is not continuous.
Therefore, option D is not an example of continuous data.
learn more on data;
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What is the image point of (4, 6) after the
transformation T5,2 O ry=-x?
Answers
Answer:
The image point is (-1,-2)
Step-by-step explanation:
Firstly, we have to reflect the given point over the line y = -x after which we perform the translation using the coordinate (5,2)
Mathematically;
If we reflect a point (x,y) over the line y = -x
we have the coordinate change to (-y,-x)
so, (4,6) becomes (-6,-4)
Then for the translation, we add 5 to the new x-axis coordinate, then add 2 to the new y-axis coordinate
we have this as;
(-6 + 5, 2-4) = (-1,-2)
