Answer:
CF = 8.5
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
CF × DF = BF × EF , substitute values
CF × 14 = 7 × 17
14CF = 119 ( divide both sides by 14 )
CF = 8.5
Find sin A, round to the nearest hundredth.
Answer:
.92
Step-by-step explanation:
sin A = opp side/ hypotenuse
We can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 +7^2 = AC ^2
9+49 = AC ^2
58 = AC^2
Taking the square root
sqrt(58) = hypotenuse
sin A = 7/sqrt(58)
sin A =.91914503
sin A = .92
Question 1 of 10 An equation allows you to find the x- and y-coordinates of any point on the xy- plane. A. True B. False
Answer:
True
Step-by-step explanation:
The requried, an equation allows you to find the x- and y-coordinates of any point on the xy- plane. The given statment is true.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
An equation in two variables (such as y = mx + b, where m and b are constants) allows you to find the x- and y-coordinates of any point on the xy-plane that satisfies the equation.
To find the x-coordinate of a point, you can plug in a value for y and solve for x. To find the y-coordinate of a point, you can plug in a value for x and solve for y.
Learn more about equations here:
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Factor the expression below. A. (x − 6)(x − 6) B. 6(x2 − x + 6) C. (x − 6)(x + 6) D. (x + 6)(x + 6)
Step-by-step explanation:
X(x+6) - 6(x+6)
X+6x-6x-36
X-36
Help me please. Thanks.
Step-by-step explanation:
for your 1008 question:
1008/2
504/2
252/2
126/2
63/3
21/3
7/7
1
1008 = 2x2x2x2x3x3x7
1008 = (2^2)×(2^2)x(3^2)×7, so 7 would be the answer because of this
lmk if you need me to elaborate on anything
geometry peculiar pool
please help!!!
after the sketch answer
1. Let x represent the length of BC. Write expressions for the lengths of AB, CD, and DE.
Answer:
hi.
Step-by-step explanation:
download photo math
The cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.
The first step is to calculate the angle at which the cue ball will hit the top bumper. We know that the angle of incidence is equal to the complement of the angle of reflection, so the angle of incidence is equal to 90 - 13/50 = 77 degrees.
The next step is to calculate the distance that the cue ball will travel along the top bumper before it strikes the other ball. We know that the angle of incidence is equal to the angle of reflection, so the angle of reflection is also 77 degrees. We also know that the distance between the cue ball and the other ball is 50 inches.
Using the law of sines, we can write the following equation:
sin(77) = (50 / d) * sin(180 - 77)
where d is the distance that the cue ball will travel along the top bumper before it strikes the other ball.
Solving for d, we get:
d = 50 * sin(77) / sin(103)
≈ 21.66 inches
Therefore, the cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.
To learn more about point here:
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Which of the following is an example of an exponential equation?
y=(3x)^2
y=x/2
y=x^4
y=2(3)^x
Answer:
Option D
Step-by-step explanation:
y = 2(3)^x is the example of exponential equation.
Draw an angle and then draw the opposite ray to one of its sides to form a linear pair. Find the measure of the angle formed by the angle bisector of the original angle and the opposite ray if the original angle bisector measures 50 degrees, 90 degrees, and 150 degrees If the angle equals 50 degrees then the measurement of the required angle is
Answer:
1. 155 degree
2. 135 degree
3. 105 degree
Step-by-step explanation:
1. Let the original angle is 50 degree, the opposite angle which forms a linear pair is 180 - 50 = 130 degree.
Now the angle bisector is 25 degree from the original ray , the angle between the bisector and the opposite ray is 130 + 25 = 155 degree.
2. Let the original angle is 90 degree, the opposite angle which forms a linear pair is 180 - 90 = 90 degree.
Now the angle bisector is 45 degree from the original ray , the angle between the bisector and the opposite ray is 90 + 45 = 135 degree.
3. Let the original angle is 150 degree, the opposite angle which forms a linear pair is 180 - 150 = 30 degree.
Now the angle bisector is 75 degree from the original ray , the angle between the bisector and the opposite ray is 30 + 75 = 105 degree.
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
X=39.3
Step-by-step explanation:
Cos=adjacent/hypotenuse
Cosx=6.5/8.4
X=arccos(6.5/8.4)
X=39.3° rounded from 39.302°
On a horizontal number line, positive numbers are_____
On a vertical number line, negative numbers are_______
The number is_______
Answer:
the horizontal are called x-axis, while the vertical are called y-axis
A sector of a circle of radius is 15Cm, and angle 216 degrees is bent to form a cone. What is base radius of the cone and the vertical height of the cone?
Answer:
Step-by-step explanation:
Radius r = 15
Circumference = 2πr = 30π cm
Circumference of cone = arc length of sector
= 30π × 216°/360°
= 18π cm
Radius of base of cone = 18π/(2π) = 9 cm
Slant height of cone = radius of circle = 15 cm
Height of cone = √(15² - 9²) = 12 cm
a set has 62 proper subsets how many elements has it for?
Answer:
6
Step-by-step explanation:
Total number of subsets is given as
[tex] {2}^{n} [/tex]
But the subset of a set consists of the proper subsets, an empty set and the set itself.
Total number of subsets are 64
Therefore,
[tex] {2}^{n} = 64[/tex]
[tex] {2}^{n} = {2}^{6} [/tex]
Comparing both sides
[tex]n = 6[/tex]
Could someone help me please
Answer:
none of them because their is no value of side MN and AC
Which of the following correlation coefficient would represent the Strongest correlation? A) 0.12 B) -0.56 C) -0.91 D) 84.
Answer:
C) -0.91
Step-by-step explanation:
A indicates a very slight positive correlation; not a strong one. B indicates a moderate negative correlation, but again, not a strong one. D indicates a strong correlation, but it is less than C, which I will get to. The answer is C, and because it is closest to ± 1, it is the strongest correlation.
Answer:
c
Step-by-step explanation:
Need help on this! 10 points!!!
Answer:
C) or 1.25
Step-by-step explanation:
all you have to do is divide (thats how you undo multiplication) 150 and 120 (150/120) leading you to get 1.25.
HOPE THAT HELPED :D
Of the 144 animals in the pet store, 56 are cats. The rest are dogs. What fraction of the pets are dogs?
Answer:
11/18
Step-by-step explanation:
56/144 = cats.
144 - 56 = 88
88/144 are dogs.
Simplified: 11/18
Heya Kitties! Can someone answer this for me?
3⋅2−1(−10)−3+12?
Thanks!
Answer:
the answer of the above question is -1.2
What is the exact value of tan (9 pi)/12
Answer:
tan(9pi/12) = 0.041146549
Step-by-step explanation:
The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).
Answer:
Vertex form is f(t) = 4 [tex](t-1)^{2}[/tex] +3 and vertex is (1, 3).
Step-by-step explanation:
It is given that f(t)= 4 [tex]t^{2}[/tex] -8 t+7
Let's use completing square method to rewrite it in vertex form.
Subtract both sides 7
f(t)-7 = 4 [tex]t^{2}[/tex] -8t
Factor the 4 on the right side.
f(t) -7 = 4( [tex]t^{2}[/tex] - 2 t)
Now, let's find the third term using formula [tex](\frac{b}{2} )^{2}[/tex]
Where 'b' is coefficient of 't' term here.
So, b=-2
Find third term using the formula,
[tex](\frac{-2}{2} )^{2}[/tex] which is equal to 1.
So, add 1 within the parentheses. It is same as adding 4 because we have '4' outside the ( ). So, add 4 on the left side of the equation.
So, we get
f(t) -7 +4 = 4( [tex]t^{2}[/tex] -2 t +1)
We can factor the right side as,
f(t) -3 = 4 [tex](t-1)^{2}[/tex]
Add both sides 3.
f(t) = 4[tex](t-1)^{2}[/tex] +3
This is the vertex form.
So, vertex is (1, 3)
Express 2 minutes as a percentage of 5 minutes.
Answer:
40%
Step-by-step explanation:
2 / 5 = 0.40
0.40 x 100 = 40%
Solve for x. Round to the nearest tenth, if necessary.
Answer:
9.4
Step-by-step explanation:
cos 32° = 8/x
x = 8/ cos 32°
= 8/ 0.8480
= 9.4
The value of the variable 'x' using the cosine formula will be 9.4 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have
cos 32° = 8 / x
x = 9.4
The value of the variable 'x' using the cosine formula will be 9.4 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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What is an
equation of the line that passes through the points (0,6) and (-3,2)?
Answer:
Step-by-step explanation:
y=mx+b is the general equation of a line, where
m= slope = (y2-y1)/(x2-x1)= (6-2)/(0- -3)= 4/3
b= y intercept
for point (0,6)
y=(4/3)x+b will become 6=(4/3)*0 +b, so b=6
the equation of the line that passes trough the given points is
y= (4/3) x +6
Answer:
y = 4/3 x + 6
Step-by-step explanation:
M = -4/-3 = 2/3
y = 4/3 X + B
6 = 4/3(0) + B
B=6
Help me solve this problem please
Answer:
A 2,3,6 :)
Step-by-step explanation:
thats answer corect me if im wrong hope it help
question on the image
(with the steps)
Answer:
40°
Step-by-step explanation:
The given triangle is a isosceles triangle . And we know that in a isosceles triangle opposite angles are equal . Therefore ,
> x + 70° + 70° = 180°
> x + 140° = 180°
> x = 180° - 140°
> x = 40°
Answer:
40 degrees
Step-by-step explanation:
We know that the base angles are congruent (a fancy word for equal) because of the slash marks. This means that both of the base angles are 70.
Every triangle adds up to 180 degrees.
So, You can just do 180 - (70+70)
Algebra version:
70 + 70 + x = 180
140 + x = 180 (subtract 140 on both sides)
x = 40
hope this helps :)
What is the number that fills in for AD?
the answer is in the picture
Someone please help me
[tex]( {9x}^{2} - 4)( {9x}^{2} + 4) \\ (3x - 2)(3x + 2)( {9x}^{2} + 4)[/tex]
A monthly budget with expenses is shown.
Monthly Budget for a Family of Three
in San Antonio, Texas
Category Amount of Money
Rent $1,200
Food $800
Utilities $400
Gasoline $320
Auto insurance $250
Health insurance $420
Medical expenses $300
Childcare $360
Savings $300
Other $150
Problem
Which equation can be used to determine y, the minimum amount of money a family must earn to meet the requirements of this budget for one year?
8x^2y-18y^3
Maths assignment
Answer:
[tex]8x^2y-18y^3[/tex]
[tex]=8x^2y-18yy^2[/tex]
[tex]=4\cdot \:2x^2y+9\cdot \:2yy^2[/tex]
[tex]=2y\left(4x^2-9y^2\right)[/tex]
[tex]=2y\left(2x+3y\right)\left(2x-3y\right)[/tex]
----------------------
Hope it helps...
Have a great day!!
the base of a right prism is an equilateral triangle each of whose sides measures 4cm.the altitude of the prism measures 5cm.Find the volume of the prism
Answer:
[tex]V=34.64\ cm^3[/tex]
Step-by-step explanation:
Given that,
The side of an equilateral prism = 4 cm
The altitude of the prism = 5 cm
We need to find the volume of the prism. The formula for the volume of a prism is as follows :
[tex]V=A\times h[/tex]
Where
A is the area of equilateral triangle, [tex]A=\dfrac{\sqrt3}{4}a^2[/tex]
So,
[tex]V=\dfrac{\sqrt3}{4}a^2\times h\\\\V=\dfrac{\sqrt3}{4}\times 4^2\times 5\\\\V=34.64\ cm^3[/tex]
So, the volume of the prism is equal to [tex]34.64\ cm^3[/tex].
if p:q=1:2 and q:r=4:3,find p:q:r
Answer:
2:4:3
Step-by-step explanation:
To Find :-
p : q : r .Solution :-
By question ,
→ p :q= 1:2
→ q : r = 4 :3
Therefore ,
→ p/q × q/r = 1/2 × 4/3
→ p/r = 2/3
Again ,
→ p = 1/2q
→ r = 3/4 q
Henceforth ,
→ p : q : r
→ 1/2 q : q : 3/4q
→ 4/2q : 4q : 12/4 q
→ 2 : 4 : 3
Out of 100 students, 80 passed in Science, 71 passed in Math, 10 failed in both subjects nd 7 did not appear in an examination. Find the number of students who passed in both subjects by representing the above information in a Venn-diagram.
Answer:
68Step-by-step explanation:
Total students = 100Failed and didn't appear = 10 + 7 = 17Total passed = 100 - 17 = 83Passed in Science and in Math = 80 + 71 = 151Passed in both subjects = 151 - 83 = 68The total number of students,
→ 100 students
No. of students were absent & failed,
→ 7 + 10
→ 17 students
No. of students totally passed,
→ 100 - 17
→ 83 students
No. of students passed in Science,
→ 80 students
No. of students passed in Mathematics,
→ 71 students
Then add both science and math,
→ 80 + 71
→ 151 students
No. of students passed in both subjects,
→ 151 - 83
→ 68 students
Therefore, the number of students who passed in both subjects are 68 students.