Answer:
[tex]4.9 ~cm[/tex]❅❅❅❅❅❅❅
✰Using the intersecting chord theorem:-[tex]x(10)=7(7)[/tex][tex]10x=49[/tex][tex]x=49/10[/tex][tex]=49[/tex]✩★✩★✩★✩★✩★✩
hope it helps...
have a great day!!
You start driving west for 8 miles, turn left, and drive south for another 11 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Using Pythagorean's theorem we can see that the distance is 13.6 miles.
How to find the distance to the starting point?You can think of this as a right triangle.
The two distances that you drive are the legs of it, and the distance betwen the initial point and the final point is the hypotenuse of the triangle.
Then we can use Pythagorean's theorem to find the hypotenuse, we know that:
H^2 = A^2 + B^2
H = √(A^2 + B^2)
Where:
A = 8 miles.
B = 11 miles
REplacing that we will get:
H = √( (8mi)^2 + (11mi)^2)
H = 13.6 miles.
Learn more about right triangles at:
https://brainly.com/question/2217700
#SPJ1
x+3/x-2 - 1-x/x =17/4
find the x with methods
Answer:
The solution set is {-2/9, 4).
Step-by-step explanation:
(x + 3)/(x-2) - (1-x)/x = 17/4
Multiply through by the LCD ( = 4x(x - 2):
(x + 3)4x - 4(1 - x)(x - 2) = 17x(x - 2)
4x^2 + 12x - 4(x - 2 - x^2 + 2x) - 17x^2 + 34x = 0
4x^2 + 12x - 4x + 8 + 4x^2 - 8x - 17x^2 + 34x = 0
-9x^2 + 34x + 8 = 0
We need 2 numbers whose product = -72 ( -9 * 8) and whose sum is 34.
These are +36 and -2, so we write:
-9x^2 + 36x - 2x + 8 = 0
-9x(x - 4) - 2(x - 4) = 0
(-9x + 2)(x - 4) = 0
x = -2/9, 4.
Find the median and mean of the data set below:
4
,
35
,
14
,
18
,
39
,
23
,
28
Answer:
Step-by-step explanation:
Mean=sum of data/no of data
=161/7
=23
median
first of all arrange the data frome ascending to descending order
4,14,18,23,28,35,39
median=(N+1)/2(N=no of data)
=7+1/2
=8/2
=4 th term
therefore median = 23
What’s 2+-4=1+-4
What is my an
Answer:
-2 i think
Step-by-step explanation:
Answer:
-2=-3
LHS is not equal to RHS
Step-by-step explanation:
Help!!‼️‼️
How old am lif 500 reduced by 4 times my age is 256?
Answer:
Question 1172264: How old am I if 500 reduced by 4 times my age is 256? How old am I if 500 reduced by 4 times my age is 256? A is our age. 500 - 4A = 256.
Step-by-step explanation:
thank me later
plzzzz help me ..........
Answer:
a =31. b=11
Step-by-step explanation:
working is above
multiply on the right side of the =sign which gives you(14 and 33)
then compare or u can equate both sides
What is the value of y in the equation y = 5x – 4, when x = 3?
y= ?
Step-by-step explanation:i think its 23
find the remainder when 1!+2!+3!+...+15! is divided by 15
Answer:
3Step-by-step explanation:
We know that
n! = 1*2*3*...*nWe also know that
15 = 3*5Since 5! = 1*2*3*4*5 is divisible by 15:
any n! with n ≥ 5 is divisible by 15.We need to find the remainder when 1! + 2! + 3! + 4! is divided by 15 as all the rest are divisible by 15.
The sum is:
1! + 2! + 3! + 4! = 1 + 2 + 6 + 24 = 33The remainder is:
33/15 = 2 rem 3As we see the remainder is 3
Dado que sen =9/10 y cos =8/10, encuentre los valores restantes de las cuatro funciones trigonométricas.
Answer:
tgα = 9/8
secα = 10/8
cscα = 10/9
ctgα = 8/9
Step-by-step explanation:
PAra resolver esto, es necesario conocer como se determinan las funciones trigonométricas en general. Ya tenemos el valor del seno y coseno de un angulo dado (supongamos un angulo α)
Si senα = 9/10 y cosα = 8/10, para calcular la tangente se aplica la siguiente expresión:
tgα = senα / cosα (1)
Reemplazando tenemos:
tgα = (9/10) / (8/10) Aqui se simplifican los 10, y nos queda
tgα = 9/8Nos quedan 3 funciones, y son las inversas de estas 3 funciones anteriores, y se determinan de la siguiente forma:
secα = 1 / cosα (2)
cscα = 1 / senα (3)
ctgα = 1 / tgα = cscα / secα (4)
Aplicando estas 3 expresiones tenemos:
secα = 1 / (8/10) Se aplica inversión de numerador y denominador
secα = 10/8cscα = 1 / (9/10)
cscα = 10/9ctgα = 1 / (9/8)
ctgα = 8/9Espero te sirva
What is the probability of flipping a coin 85 times and getting tails 50 times or
fewer? Round your answer to the nearest tenth of a percent.
A. 33.2%
B. 0.4%
C. 95.9%
D. 99.8%
Answer:
C: 95.9%
Step-by-step explanation:
To find this, we shall be using the cumulative binomial probability calculator
As we know, the probability of getting a head or a tail in a throw of a coin is same with a value of 0.5
So, we want to find the probability of getting tails 50 times or fewer which means the probability of getting at most 50 tails
So we have the parameters as follows;
P( x ≤ 50)
n = number of trials = 85
p = probability of success = 0.5
r = number of success = 50
Using the parameters in the cumulative binomial probability calculator, we have the value as ;
0.9589 = 95.9%
Answer:
answering so the guy above gets brainliest
what are the slope and Y intercept of the linear function graft to the left?
Answer:
Slope -[tex]\\\frac{1}{2}[/tex]
Y intercept 1
so option 2 or B
Step-by-step explanation:
Slope is rise over run so 1 over -2
so -1/2
and y intercept is where the line crosses the y axis and it crosses on this graph at positive 1.
Why do you think the Americas were called the 'New World' by the European
Answer:
The other continents were unknown to Europeans. After Columbus discovered the American continents the "world" of Europe, Africa, and Asia were often referred to as the "Old World" while the Americas were called the "New World".
Please mark me brainliest ;w;
need help on math please
The length of missing leg is √40 = 6..32
Answer:
This one should match according to the pythagoras theorem
The probability that the Wild Cats will win their baseball game is 0.3 and the probability that the Bulldogs will win their baseball game is 0.7. Assuming that they are not playing each other, what is the probability that both teams will win their games
Xander has $15 and make $4 a day. Aislyn has $10 and makes $4 a day. When will they have the same amount of money?
Answer: Never because Aislyn cannot catch up if they make the same amount of money per day.
Step-by-step explanation:
Assume that the day they will have the same amount of money is x.
The amount that Xander will have on that day is:
= 15 + 4x
The amount that Aislyn will have on that day is:
= 10 + 4x
Equate the two fractions:
15 + 4x = 10 + 4x
15 - 10 + 4x = 4x
5 = 4x - 4x
5 = 0x
What this means is that they will never have the same amount of money because they are increasing by the same amount so Aislyn will never catch up.
16
(x + 40)0 and (3x - 20)° are a pair of supplementary angles.
Find the following values:
X=
the smaller angle is :
0
and
the greater angle is :
0
Answer:
x = 40
smaller angle is 80
larger angle is 100
Step-by-step explanation:
Supplementary angles add up to equal 180 degrees
Hence, x + 40 + 3x - 20 = 180
( note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
x + 40 + 3x - 20 = 180
step 1 combine like terms
x + 3x = 4x
40 - 20 = 20
we now have 4x + 20 = 180
step 2 subtract 20 from each side
180 - 20 = 160
we now have 160 = 4x
step 3 divide each side by 4
160 / 4 = 40
4x / 4 = x
we're left with x = 40
we now plug in 40 for x to find the value of each angle
x + 40
* substitute 40 for x *
40 + 40 = 80
3x - 20
* substitute 40 for x *
3 ( 40 ) - 20
3 * 40 = 120
120 - 20 = 20
so the larger angle is 100 degrees and the smaller angle is 80 degrees
5) The coordinates of A are (1, 0) and the coordinates of B are (2, 6), what are the coordinates of the midpoint of AB?
Answer:
The coordinate of the midpoint of AB is (1.5, 3).
Step-by-step explanation:
The midpoint of AB is the point that is the same distance between both points A and B. In order to find the midpoint, add the x and y values of points A and B respectively, and divide the sum by 2 to find the midpoint of AB. [tex]\frac{1+2}{2} = 1.5[/tex], so the x value of the midpoint is 1.5. [tex]\frac{0+6}{2} = 3[/tex], so the y value of the midpoint is 3. You'll get that the coordinate of the midpoint of AB is (1.5, 3).
Identity the slope and y intercept
Answer:
3,-2
Step-by-step explanation:
From the attached graph we need to find the slope and the y Intercept . The data that can beextracted from the graph is ,
The line passes through (0,3) and (1.5,0) .Hence the y Intercept here is 3 , since the graph cuts y axis at 3 units above the x axis.
Slope :-
→ m = 3 - 0 / 0 - 1.5
→ m = 3/-1.5
→ m = -2
• Hence the y Intercept is 3 and the slope is (-2) .Dylan wants to buy both the tablet and
the camcorder. How much will he pay
if he buys them during the sale?
Answer:
108$
Step-by-step explanation:
Dannielle's test grades are 83, 92, 99, 86 and 90. What is the
median of her grades?
Answer: 90
Step-by-step explanation:
83, 86, 90, 92, 99
90 is in the middle <3
The measure of an angle is 170°. What is the measure of its supplementary angle?
Answer:
Hello! answer: 10
Step-by-step explanation:
If its a supplementary angle the other angle will equal 10 because supplementary angles add up to 180 degrees therefore 10 is the answer HOPE THAT HELPS!
what is 1 1/4 x 2 1/4
Answer:
45/16
Step-by-step explanation:
1 1/4 x 2 1/4
5/4 x 9/4
45/16
HELP ME OUT!
What is the measure of angle A?
A.) 50 degrees
B.) 40 degrees
C.) 45 degrees
D.) 55 degrees
The measure of angle A.
Solution:-[tex]{\boxed{\mathcal{\red{B.\:Angle\: A \:=\: 40° \:}}}}[/tex]✅
Step-by-step explanation:-We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ 90° + x + 51 + x + 41 = 180° ( 90° since it is a right-angled triangle )
➪ 2 x + 182° = 180°
➪ 2 x = 180° - 182°
➪ x = [tex] \frac{ - 2}{2} [/tex]
➪ x = -1°
Now,
Measure of angle A = x + 41
= (-1°) + 41
= 40°
[tex]\sf\red{Therefore, \:the\: measure\:of \:∠\: A\: is \:40°.}[/tex]
To verify:-90° + (-1°) + 41 + (-1°) + 51 = 180°
✒ 182°- 2°= 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
HELP IM BEING TIMEDDDDDDDDDDDDDDDDDDDDDDDDD
Answer:
B
Step-by-step explanation:
Answer:
B. The sign is buried 0.6 of a meter below the ground
Step-by-step explanation:
-1.8 = how far underground the capsule is
+1.2 = how much dirt was added on top of the capsule
-0.6 = where the sign was placed, on top of the 1.2 meters of dirt
Hope this helps! :)
In a class of students, the following data table summarizes how many students have a
cat or a dog. What is the probability that a student who does not have a dog has a cat
Answer:
3/12+9+3+5
3/29
you would divide those who didn't have dogs but had cats over the total which is 29
Evaluate:
26 (2n + 5) = [?]
Can someone please help me ASAP !
Answer:
it's 823 problem solved
The sun of two numbers is 17. One number is 3 less than 2/3 of the other number what is the lesser number?
A. 5
B. 3
C. 7
D. 12
Answer:
lesser # is 5
other # is 12
Step-by-step explanation:
x = lesser #
x + y = 17
x = 2/3y - 3
let 'y' = 17-x
substitute 'y':
x = 2/3(17-x) - 3
x = 34/3 - 2x/3 - 9/3
add 2x/3 to each side to get:
5x/3 = 25/3
multiply each side by 3/5 to get:
x = 25/5 or 5
5 + y = 17
y = 12
Find the distance of the hypotenuse.
Answer:
A) 7.8
Step-by-step explanation:
The side lengths of the triangle are 5 units and 6 units.
Using the Pythagorean Theorem, a²+b²=c², we can find the hypotenuse, c, given side lengths a and b:
a²+b²=c²
5²+6²=c²
25+36=c²
61=c²
√61=c
7.81≈c
Therefore, the hypotenuse is about 7.81 units, making A the closest choice.
anyone know how to do trig? Given tan Ф = 4/5, find all other trig functions.
9514 1404 393
Answer:
sin(Ф) = (4/41)√41; csc(Ф) = (√41)/4cos(Ф) = (5/41)√41; sec(Ф) = (√41)/5tan(Ф) = 4/5; cot(Ф) = 5/4Step-by-step explanation:
The mnemonic SOH CAH TOA can help you with three of the functions. Then you need to remember the relations between those and the other three.
Tan = Opposite/Adjacent
tan(Ф) = 4/5
This suggests you can draw a triangle like the one attached that has adjacent side 5 and opposite side 4. Then hypotenuse can be found from the Pythagorean theorem:
AC² = AB² +BC² = 5² +4² = 41
AC = √41 . . . . . hypotenuse
Then the other trig functions are ...
Sin = Opposite/Hypotenuse
sin(Ф) = 4/√41 = (4/41)√41
Cos = Adjacent/Hypotenuse
cos(Ф) = 5/√41 = (5/41)√41
And the reciprocal functions are ...
csc(Ф) = 1/sin(Ф) = (√41)/4
sec(Ф) = 1/cos(Ф) = (√41)/5
cot(Ф) = 1/tan(Ф) = 5/4
PLEASE HELP THIS IS THE LAST QUESTION I NEED FOR AN ASSIGNMENT!!
Please show steps!!
An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled.
Which statement best describes the rate of change for this situation?
a. The height of the water increases 20 inches per second
B. The height of the water increases 1 inch per second
C. The height of the water increases 5 inches per second
D. The height of the water increases 2.5 inches per second
Answer:
D
Step-by-step explanation:
Divide 5/2 and you'll get 2.5/1 or 2.5