Answers
Answer:
x = [tex]\sqrt{6}[/tex]
Step-by-step explanation:
Since the given triangle is equilateral the all 3 sides would be:
[tex]\sqrt{6} +\sqrt{6}[/tex] or [tex]\sqrt{12}[/tex]. Now we know that the base of the right triangle is [tex]\sqrt{6}[/tex] and the hypotenuse is [tex]\sqrt{12}[/tex]. Therefore we can say;
A² + B² = C²
([tex]\sqrt{6}[/tex])² + x² = ([tex]\sqrt{12}[/tex])²
6 + x² = 12
x² = 12 - 6
x² = 6
x = [tex]\sqrt{6}[/tex]
Therefore; x = [tex]\sqrt{6}[/tex] is the length of x, in simplest radical form.
Related Questions
if you subtract 1/2 from a number and multiply the result by 1/2 you get 1/8. what is the number?? (pls provide steps)
Answers
Answer:
[tex]Number\ is\ \frac{3}{4}[/tex]
Step-by-step explanation:
Let the number be x
Subtract 1/2 from x = (x - 1/2)
Multiply 1/2 to the result = 1/2(x - 1/2)
The result is 1/8
That is,
[tex]\frac{1}{2}( x - \frac{1}{2}) = \frac{1}{8}\\\\( x - \frac{1}{2}) = \frac{1}{8}\times \frac{2}{1}\\\\(x-\frac{1}{2}) = \frac{1}{4}\\\\x = \frac{1}{4} + \frac{1}{2}\\\\x = \frac{3}{4}[/tex]
CAN ANYONE PLEASE HELP ME !!
Answers
Answer:
The answer is 9.
Step-by-step explanation:
For this season in baseball, Joseph hit approximately 2 out of every 5 at bats. If he was up at bat 1,000 times this season, estimate the number of hits he had.
Answers
Answer:
I estimate he hit 400 bats.
Step-by-step explanation:
I am going to set up a ratio to solve.
Joseph hits about 2 out of every 5 bats, and we want to find out the number of hits we had if he was up to bat 1,000 times.
[tex]\frac{2}{5} = \frac{x}{1000}[/tex]
Cross multiply to solve.
2(1000) = 5(x)
2000 = 5x
Divide by 5 on both sides.
X = 400
I estimate he hit 400 bats.
I need help! Find AB
Answers
Answer:
[tex]AB+27/2=16[/tex]
[tex]AB=2(16)-27[/tex]
[tex]AB=5[/tex]
your answer is C) 5
----------------------------
hope it helps...
have a great day!!
The cost of 2 pounds
of coffee is $0.
True or False
Answers
Answer:
false
Step-by-step explanation:
the graph shows that 2 pounds of coffee would be about $4
Answer:
false.
Step-by-step explanation:
because if you look 1 pounds is 2 dollars
The attendances y for two movies can be modeled by the following equations, where x is the number of days since the movies opened.
y=-x^2+35x+100 Movie A
y=-5x+275 Movie B
When is the attendance for each movie the same?
After ___ days and after ___ days.
Answers
Answer:
After
days and after
days.
By solving a quadratic equation, we will see that the attendance will be the same after 5 days and after 35 days.
When is the attendance for each movie the same?
This will happen for the values of x such that:
y = -x^2 +35x + 100 = y = -5x+275
There says that the attendance for movie A is the same as the one for movie B. So we just need to solve that.
We can write the equation as:
-x^2 +35x + 100 = -5x+275
If we simplify this, we get:
-x^2 + 35x + 100 + 5x - 275 = 0
-x^2 + 40x - 175 = 0
This is a quadratic equation, the two solutions are given by Bhaskara's formula, we will get:
[tex]x = \frac{-40 \pm \sqrt{(40ft)^2 - 4*(-1)*-175)} }{2*-1} \\\\x = \frac{-40 \pm 30}{-2}[/tex]
So the two solutions are:
x = (-40 + 30)/-2 = 5
x = (-40 - 30)/-2 = 35
So, the attendance will be the same after 5 days and after 35 days.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia
Answers
Answer:
sen α = - 4/5
cos α = - 3/5
Step-by-step explanation:
tang α = 4/3
De la relación fundamental de la trigonometría sabemos:
sen² α + cos²α = 1
Dividiendo la ecuación anterior por cos² α
sen²α/cos²α + cos²α / cos²α = 1 / cos² α
tang²α + 1 = 1/ cos² α
(4/3)² + 1 = 1/ cos² α ⇒ 16/9 + 1 = 1/ cos² α
1/ cos² α = ( 16 + 9 ) / 9
1/ cos² α = 25/9
cos² α = 9/25
cos α = 3/5
y para calcular el sen α
sen² α = 1 - cos²α
sen² α = 1 - 9/25
sen² α = ( 25 - 9 )/ 25
sen² α = 16/25
sen α = 4 / 5
Ahora bien el angulo α está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.
Respuesta:
sen α = - 4/5
cos α = - 3/5
Select the correct answer.
Which statement is true?
Answers
Answer:
third option is the correct
Step-by-step explanation:
A function is "odd" when f (-x) = - f (x) for all x. ... For example, functions like
f (x) = x3, f (x) = x5, f (x) = x7, ... are odd functions.Answer:
3rd option!
Step-by-step explanation:
took the test :)
Somebody please help meee!!!!
Answers
Answer:
288.4
Step-by-step explanation:
v=pi r^2 H
Answer:
I think answer is 288.4 plz mark me brainlist
Help not much time.
Answers
Answer:
Cross out no solution because there is no possible way for a math problem to have no solution if a problem were to have a infinite solution there wouldn’t be a solution if it was infinite so the answer i (0, 18)
Step-by-step explanation:
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. Y = negative 4. Step 5 Solution is (3, negative 4). Is Claire's solution to the system of equations correct? Explain why or why not.
Answers
Answer:
Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.
Step-by-step explanation:
Following the steps taken :
4x - 2y = 4 - - - (1)
3x + 3y = 21 - - - (2)
Multiply (1) by 3 and (2) by 2
12x - 6y = 12 - - - (3)
6x + 6y = 42 - - - (4)
Add (3) and (4)
18x = 54
x = 54/18
x = 3
Put x = 3 in (1)
4(3) - 2y = 4
12 - 2y = 4
-2y = 4 - 12
-2y = - 8 (this is where the mistake lies)
It shouldn't be 2y = - 8 as stated
Answer:
The other dude is right.
Step-by-step explanation:
If sin(2x + 7)degrees =cos(4x-7)degrees, what is the value of x?
Answers
Answer:
x = 15
Step-by-step explanation:
[tex]cosx = sin(\frac{\pi}{2} - x)[/tex]
[tex]sin x = sin y = > x = sin^{-1}(sin y) = y => x = y[/tex]
[tex]sin(2x + 7)^{\circ} = cos(4x - 7)^{\circ}\\\\sin(2x + 7)^{\circ} = sin(\frac{\pi}{2} - (4x - 7))\\\\(2x + 7) = (\frac{\pi}{2}- (4x -7))\\\\2x + 7 = \frac{\pi}{2} - 4x + 7\\\\6x = \frac{\pi}{2}\\\\x = \frac{\pi}{12}[/tex]
x = 15
The ratio of cars to residents on a small island is 1:112. There are 2,912 residents on the island. How many cars are there on the island?
a.
2,800
c.
112
b.
26
d.
52
Answers
Answer:
26
Step-by-step explanation:
1:112=113
x:2912=y
Divide 2912 and 112
2912/112=26
1 × 26 = 26
Tell us wether the line or segment is best described as a radius, chord, diameter, secant, or a tangent of 0O.
Answers
Answer:
AB - secant
DB - diameter
AB - chord
OB - radius
BC - tangent
(In the order they are in the picture)
Step-by-step explanation:
AB - The line goes through the circle and does not go through the center. This fits the definition of a secant, so line AB is a secant.
DB - Segment DB goes through the center and has endpoints on the circle. This fits the definition of a diameter, so DB is a diameter.
AB - Segment AB has endpoints on the circle and does not go through the center. This fits the definition of a chord, so segment AB is a chord.
OB - Segment OB is basically from the center to a point on the circle. This fits the definition of a radius, so segment OB is a radius.
BC - Line BC intersects the circle in only one point and does not go through it. This fits the definition of a tangent, so line BC is a tangent.
The difference between two numbers is 51 four times the smaller is equal to six more than the larger what are the numbers
Answers
Answer:
Smaller #: 19
Larger #: 70
Step-by-step explanation:
Step 1:
We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.
Step 2:
We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:
[tex]4x=51+x+6\\3x=57\\x=19[/tex]
If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .
I hope this helps! Let me know if you have any questions :)
A warehouse is distributing 1,080 blocks into 24 different packages for shipment. If each of the packages will hold the same number of blocks, how many blocks are in a single package?
Answers
1080/24 = 45
Solution: 45
a. 11.2 in.
b. 19.6 in.
c. 25.2 in.
Answers
Which of the binomials below is a factor of this trinomial?
x^2 + 13x+42
Answers
Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
Bob can row 5 mph In still water. He rows directly across a river flowing at 6 mph. Using vectors, find his resultant
speed.
a. 7.81 mph
b. 3.32 mph
c. 11.00 mph
d. 7.14 mph
Answers
Answer:
7.81mph
Step-by-step explanation:
Using the pythagoras theorem;
resultant r is expressed as;
r² = 5² + 6²
r² = 25 + 36
r² = 61
r =√61
r = 7.81mph
Hence the resultant speed is 7.81mph
PLEASE HELP ME!! ASAP
ANSWER EXPLANATION = BRAINLIEST & FIVE STARS
What is the value of cos Q?
Write your answer as a simplified fraction.
Answers
Explanation:
Divide the adjacent side UQ = 28 over the hypotenuse QE = 53 to form the cosine of Q. The adjacent side is the side closest to the reference angle. The hypotenuse is always opposite the right angle.
The fraction 28/53 cannot be reduced further since 28 and 53 have no factors in common other than 1.
Answer:
28/53
Step-by-step explanation:
To find the value of cos(Q), you need to divide the adjacent, 28, and the hypotenuse, 53. Dividing them results to 28/53, and simplified is, I don't think you can simplify that. This answer might not be totally correct.
Just remember in the future,
sin = opposite / hypotenusecos = adjacent / hypotenusetan = opposite / adjacentAnd you can use this link for help
https://www.mathsisfun.com/sine-cosine-tangent.html
A group of friends went to lunch. The bill, before sales tax and tip, was $37.50. A sales
tax of 8% was added. The group then tipped 18% on the amount after the sales tax
was added. What was the amount, in dollars, of the sales tax?
Show your work.
Answer
question continued: what was the total amount the group paid, including tax and tip?
Answers
Answer:
Sales tax=3.00, total paid=47.79
Step-by-step explanation:
37.50 x .08=3.00 sales tax
37.50+3.00=40.50 amount with sales tax added
40.50 x .18=7.29 amount of tip
40.50 + 7.29=47.79 total with tip and sales tax
5−a+4a= anyone know how to solve
Answers
Answer:
5 +3a
Step-by-step explanation:
5−a+4a
Combine like terms
5 +3a
Answer:
[tex]5+3a[/tex]
Steps :
All we need to do is add similar elements!
[tex]5-a+4a = 5+3a[/tex]
-
Suppose that an individual has a body fat percentage of 12.1% and weighs 133 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answers
Answer:
1099.2 pounds
Step-by-step explanation:
Given data
Weight= 133 pounds
Percentage of far= 12.1%
Let the total fat be x
So
12.1/100*x= 133
0.121*x=133
x= 133/0.121
x= 1099.1735 pounds
x= 1099.2 pounds
One week, Isabelle bought 2 bags of apples and 3 bags of oranges. The next week, she bought 1 bag of apples and 2 bags of oranges. If a represents the cost of each bag of apples and r represents the cost of each bag of oranges, which expression could Isabelle use to calculate the difference between the amounts she spent each week?
A. 3 a minus r
B. 3 a minus 5 r
C. (2 a minus 3 r) minus (a minus 2 r)
D . (2 a + 3 r) minus (a + 2 r)
Answers
Answer:
It should be D.
Please help I’ll give brainliest
Answers
Answer:
1a) 0.1 cm = 1 mm
When converting centimeters to milimeters, multiply the length value by 10.
1b) 25000 mm = 25 m
When converting milimeters to meters, divide the length value by 1000.
1c) 7g = 0.007 kg
When converting grams to kilograms, divide the mass value by 1000.
1d) 30000 ml = 0.03 kl
When converting milimeters to kilometers, divide the volume value by 1000000.
Find The Missing Angle Measure
A. 34
B. 90
C. 6
D. 23
please help me with this
Answers
r = 180 - 32 -114
r = 34
So the answer is A
The sum of the 3 inside angles equal 180
To find the missing angle subtract the 2 known angles from 180.
R = 180 - 114 - 32 = 34
R = 34 degrees
Find the value of X and Y in the parallelogram
Answers
Answer:
[tex]Find~x:-[/tex]
[tex]4x-37=49[/tex]
[tex]4x=49+37[/tex]
[tex]x=21.5[/tex]
[tex]Find ~y:-[/tex]
[tex]y/5=4x-3[/tex]
[tex]y=5(4*21.5-3)[/tex]
[tex]y=415[/tex]
----------------------hope it helps...have a great day!!Ben is 50 years old. His son, Carl is 24 years old. How many years ago was Ben 3 times as old as Carl?
Answers
Answer:
78
Step-by-step explanation:
50 - 24 = 26
26 x 3 = 78
Hope it helps...
If mAD = (17x + 2)°, mAC = (7x - 10°), and m∠ABC = (4x + 15)°, find m∠ABC
Please help
Answers
Answer:
m<ABC = 51degrees
Step-by-step explanation:
The angle at the vertex is half the difference of the angles at the intercepted arcs. Hence;
m<B = 1/2 (arcAD - arcAC)
<ABC = 1/2(17x + 2 -(7x - 10°))
4x + 15 = 1/2(17x-7x+2+10)
2(4x+15) = 10x+12
8x + 30 = 10x+12
8x-10x = 12-30
-2x = -18
x = 18/2
x = 9
Get m<ABC
m<ABC = 4x + 15
m<ABC = 4(9) + 15
m<ABC = 36 + 15
m<ABC = 51degrees
The measure of angle ∠ABC = 51 degree.
Since we know that,
For a circle,
The angle at the vertex is half the difference of the angles at the intercepted arcs.
Therefore,
m∠ABD = 1/2 (arcAD - arcAC)
⇒ ∠ABC = (1/2)(17x + 2 -(7x - 10°))
⇒ 4x + 15 = (1/2)(17x-7x+2+10)
⇒2(4x+15) = 10x+12
⇒ 8x + 30 = 10x+12
⇒ 8x-10x = 12-30
⇒ -2x = -18
⇒ x = 18/2
⇒ x = 9
Get m∠ABC
⇒ m∠ABC = 4x + 15
⇒ m∠ABC = 4(9) + 15
⇒ m∠ABC = 36 + 15
⇒ m∠ABC = 51 degree
Learn more about the angle visit:
https://brainly.com/question/25716982d
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I think of a number, I subtract 10 and add 2 . My answer is 20, What was my number
Answers
Answer:
x=28Step-by-step explanation:
x-10+2=20 x-8=20 x=20+8 x=28. this is my answer