If cd is tangent to the circle AB=1. 5 and BC=1 what is the length of CD
Answers
The length of [tex]CD[/tex] is 2.
How to determine the length of a segmentSince [tex]CD[/tex] is tangent to the circle, then [tex]AD\perp CD[/tex]. Then, the triangle [tex]ABD[/tex] is right angled. Thus, the length of [tex]CD[/tex] is found by Pythagorean theorem:
[tex]AC = \sqrt{AD^{2}+CD^{2}}[/tex] (1)
If we know that [tex]AB = 1.5[/tex], [tex]BC = 1[/tex] and [tex]AD = 1.5[/tex], then the length of [tex]CD[/tex] is:
[tex]CD = \sqrt{AC^{2}-AD^{2}}[/tex]
[tex]CD = \sqrt{2.5^{2}-1.5^{2}}[/tex]
[tex]CD = 2[/tex]
The length of [tex]CD[/tex] is 2. [tex]\blacksquare[/tex]
To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/391394
Related Questions
What is the gradient of 2y=4x+6
Answers
Answer:
The answer is 2.Divide each side by 2
Simplify : y = 2x + 3
Replace x = 1 -> y = 5
We will draw a line that goes through the point 1 on the x axis, and point 5 on the y axis (cant draw right now, sorry xd)
(Now, you can find the gradient by simply forming a right triangle with the hypotenuse being the line itself, but i will use the slope to save time)
We will select 2 points : (1;0) and (0;5)
Replace it into m = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{5-0}{0-1} = -5[/tex]
There are 90 students in Jeanette's grade. 63 of the students are enrolled in health. What percentage of the students are enrolled in health?
Answers
Answer=70
Step-by-step explanationTotal number of jeanette's grade =90
Number of students enrolled in health =63
Therefore. 63/90×100
=0.7×100
=70%
i need help, with an step by step explanation please if possible!!
Answers
M(x,y):-
[tex]\\ \rm\Rrightarrow \left(\dfrac{2+4}{2},\dfrac{5+9}{2}\right)[/tex]
[tex]\\ \rm\Rrightarrow \left(\dfrac{6}{2},\dfrac{14}{2}\right)[/tex]
[tex]\\ \rm\Rrightarrow (3,7)[/tex]
Equation of L
y=2x+1Slope=m=2Slope of the perpendicular line=-1/2
Equation of the perpendicular line
[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]
[tex]\\ \rm\Rrightarrow y-7=-1/2(x-3)[/tex]
[tex]\\ \rm\Rrightarrow 7-y=1/2(x-3)[/tex]
[tex]\\ \rm\Rrightarrow 14-2y=x-3[/tex]
[tex]\\ \rm\Rrightarrow x+2y-17=0[/tex]
Melissa ran 6. 4 miles north, 2. 75 miles west, and 2 1/3 miles south. How far did she run?
Answers
Answer:
About 11.48
Step-by-step explanation:
6.4+2.75+2 1/3
6.4+2.75=9.15
2 1/3=2.33
9.15+2.33=11.48
The length of a rectangle is 5m longer than the width. The perimeter of the rectangle is 82m. Find the length and width of the rectangle.
Answers
Answer:
length: 23 mwidth: 18 mStep-by-step explanation:
The given dimensions are related by the perimeter formula for a rectangle.
Let w represent the width in meters. Then (w+5) represents the length. These values can be put into the perimeter formula, which can be solved to find w.
P = 2(L +W)
82 = 2((w+5) +w) . . . . fill in for L and W
41 = 2w +5 . . . . . . . . divide by 2
36 = 2w . . . . . . . . . subtract 5
18 = w . . . . . . . . . divide by 2. This is the width.
w+5 = 18+5 = 23 . . . . find the length
The length of the rectangle is 23 m; the width is 18 m.
Multiply using the distributive property
Answers
Answer:
see image
Step-by-step explanation:
What is the m∡U in the figure shown?
Answers
Answer:
m<U=70
Step-by-step explanation:
we know that the measure of the out side angle is equal to the measure of the 2 inside angles, so 120-50=70
Answer:
∠ U = 70°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ RVU is an exterior angle of the triangle , then
∠ U + 50° = 120° ( subtract 50° from both sides )
∠ U = 70°
a car drives 5 1/2 miles in 1/12 hour. what is the speed of the ca in miles per hour.
Answers
Answer:
average speed 3.67mph
Step-by-step explanation:
Question 2 (1 point)
(05.05 MC)
A system of equations is shown below:
x+y=3
2x - y = 6
The x-coordinate of the solution to this system of equations is
Answers
(3,0)
Step-by-step explanation:
Different - add
2x - y = 6
+
x + y. = 3
3x = 9
÷3
x = 3
Substitute x = 3 into one of the equation:
x + y = 3
3 + y = 3
-3
y = 0
Solution is (3,0)
Hope this helps!
write the equation of the line that passes through the point of (2,-1) and has a slope of -3
Answers
Answer:
y=-3+5
Step-by-step explanation:
Setting y=Ax+B we find that the slope A=-3 and -1=-3(2)+B which means that B=5. Thus, the equation of the line is y=-3x+5.
Jenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending?
18/6 = 108
18 + 18 + 18 + 18 + 18 + 18 = 108
18 * 6 = 108
6 * 18 = 108
Answers
Answer:
18/6=108
Step-by-step explanation:
cause it adds up to 3 and not to 108
there is alot more but i really need help
Answers
Charlotte has a large container of only red beads.
Harry has a large container of only blue beads.
Charlotte and Harry swap 40 beads.
This means that Charlotte gets 40 of Harry's blue beads in her container and Harry gets 40 of Charlotte's red beads in his container.
Charlotte now randomly picks 90 beads from her container and notices that 9 are blue.
Harry now randomly picks 80 beads from his container and notices that 70 are blue.
If all the beads were placed in one container, work out an estimate for the ratio of red to blue beads.
Simplify your answer fully.
Answers
Using it's concept, it is fond that the estimate for the ratio of red to blue beads is of 91:79.
What is the ratio between two amounts?The ratio between two amounts a and b is given by a divided by b, that is:
[tex]\frac{a}{b} = a:b[/tex]
In this problem, considering Charlotte's and Harry's beads, there are 81 + 10 = 91 red beads and 9 + 70 = 79 blue beads, hence the ratio is given by:
91:79.
More can be learned about ratios at https://brainly.com/question/19905617
Select the expressions that are equivalent to 8(w+2).
Answers
I don't understand this
the box is in the shape of a cuboid.
height: 60cm
length: 100cm
width: 40cm
Joh wants to fill the box with grit.
A bag of grit costs £2.50
there are 8000cm^3 of grit in a bag.
Joh has £70 to spend on the grit.
Does John have enough money to buy all the grit he needs to fill the box completely?
Answers
We calculate the volume of the cuboid :
60 x 100 x 40 = 240000 cm^3
If every bag has 8000 cm^3 of grit, he will need 240000 : 8000 = 30 bags
Every bag cost £2.50, so he will need £2.50 x 30 = £75
Since he only has £70, he doesn't have enough money to buy the grit.
If an amount increases by 5. 1% each year, what is the growth factor?
please show steps
Answers
the growth factor is simply the same amount, but in decimal format, so what is 5.1% of anything?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5.1\% of anything}}{\left( \cfrac{5.1}{100} \right)anything}\implies 0.051(anything)[/tex]
so the growth factor is simply the decimal format of 0.051.
Gina wilson homework I need help fast it’s due tomorrow
Answers
ok so for whatw e do is mulitpy the numbers
Nyana ate 1/4 of an apple. Nelmarie ate 1/4 of the same apple. How much of the apple did Nyana and Nelmaire eat in all?
Answers
Answer:
Nyana and Nelmaire ate 2/4, or 1/2 of the apple in all.
Step-by-step explanation:
1/4 + 1/4 equals 2/4
2/4 is equivalent to 1/2
The critic rating and audience score for 8 movies are shown in the table.
Critic Rating 72 80 65 23 28 60 41 35
Audience Score 64 92 90 48 55 70 44 80
An owner of a movie theater is investigating whether critic rating can be used to predict the mean audience score of movies. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate to estimate the mean change in audience score for each 1 point increase in the critic rating?
a: A one-sample tt-test for means
b: A linear regression tt-interval for slope
c: A two-sample tt-interval for a difference between means
d: A matched-pairs tt-interval for a mean difference
e: A two-sample zz-interval for a difference between proportions
Answers
Let f be defined as shown. Which statement is
true?
Answers
Answer:
exist:12703
Step-by-step explanation:
does not exist :8913
Really need help on this
Answers
Answer:
The function is t(n) = 3n - 9
What is the reciprocal of an undefined slope?
Answers
Answer:
The reciprocal of an undefined slope is 0.
ABC is a right angled triangle with shorter sides 6cm and 8cm K,L,M are the midpoints of the triangle ABC what is the perimeter of the triangle K,L,M
Answers
Answer: 12
Step-by-step explanation:
Can someone please explain this to me??
Answers
b^2 - 4•a•c
now that you have this equation, plug in the values
(-17)^2 - 4(4)(3)
you get 289-48 and that is 241 which is the value of the discriminant.
since that value is positive, there are 2 solutions. if it were negative, there would be no solutions. if it were 0, there’d be one solution
A computer system increased from $2500 to $2650. What is the Percent increase?
Answers
Answer:
2650 - 2500 = $150 or 2500 ÷ 2650 × 100% = 94.33
Answer:
explanation :profit=S.P-C.P×100%
C.P
$2650-2500×100
$2500
150
2500 cross of the two zeros
15
250 let's divide
=0.6×100
60%
I hope it's correct..
pliz follow
Jessica’s bike tire has a radius of 8 inches. Which equation could be used to find the circumference of the tire in inches?
Answers
The equation that could be used to find the circumference of the tire is P = 2πr and the circumference of the tire is 50.24 inche
What is circumference?A circumference is a total distance around a plane shape. It is also called perimeter
The equation for finding the circumference of a circle is given below
Formula:
P = 2πr............... Equation 1Where:
P = Circumference of the circleπ = Pie r = radius of the circleFrom the question,
Given:
r = 8 inchesπ = 3.14Substitute these values into equation 1
P = 2(3.14)(8)P = 50.24 inchesHence, The equation that could be used to find the circumference of the tire is P = 2πr and the circumference of the tire is 50.24 inches.
Learn more about circumference here: https://brainly.com/question/15673093
Find are the area of the 9 by 16 rectangle and add it to
the area of the triangle with base = 16 and height = 5.
Answers
Answer:
9×16=144
16×5=. 80
.: 144+80 =224
Step-by-step explanation:
The correct answer is 224
In a survey of 200 people who visited China, 85% visited the Great Wall. Of those who visited the Great Wall, 30% also visited the Chengdu Panda Center. Of those who did not visit the Great Wall, 80% visited the Panda Center.Enter the correct answers in the boxes to complete the two-way frequency table.
Answers
Based on the percentages given on those who visited the Great Wall, the relative frequencies will show the following?
People who visited Great Wall - 170 people.People who visited the Chengdu Panda Center - 51 people.People who visited Panda Center - 24 people.How many people visited the Great Wall?The number of people who went to Great Wall was:
= 200 x 85%
= 170 people
How many people visited the Chengdu Panda Center?= Number of people who went to Great Wall x 30%
= 170 x 30%
= 51 people
How many people visited Panda Center?= (1 - 85%) x Number of people surveyed x 80%
= 0.15 x 200 x 80%
= 24 people
Find out more on relative frequencies at https://brainly.com/question/3857836.
Use the properties of equality to find the value of x in this equation.
4(6x – 7) = 44
Answers
Answer:
x=3
Step-by-step explanation:
4(6x-7) = 44
6x - 7 = 11
6x = 18
x= 3
Given the diagram, which theorem would you use to find AD?
8.4
D
B
8.4
20
A) Perpendicular Bisector Theorem
B) Converse of the Perpendicular Bisector Theorem
Angle Bisector Theorem
D) Converse of the Angle Bisector Theorem
ОА
OB
Ос
OD
Answers
Answer:
B
AD will be 20
Please mark me brainliest