Answer:
8 / √89
Step-by-step explanation:
1. cot (x) = 5/8
2. 8√89 / 89
3. simplify
4. 8 / √89
Value of sin(x) is equals to (8√89) / (89), 0 < x < 90.
What are trigonometric functions?" Trigonometric functions are mathematical functions which relates angles and sides of a right angle triangle , where 0 < x < 90°."
Formula used
In right angled triangle ABC , ∠B = 90° , ∠C = x°
cot (x )= ( Base ) / ( Opposite side)
sin ( x) = ( Opposite side ) / ( Base )
Pythagoras theorem
(Hypotenuse)² = (Base)² + (Opposite side)²
(AC)² = (AB)² + (BC)²
According to the question,
Given
cot (x) =5 / 8 , 0< x< 90
Therefore, by comparing the given values of trigonometric function with the formula we have,
Base = 5
Opposite side = 8
Substitute the value in the Pythagoras theorem we get,
(Hypotenuse)² = 5² + 8²
⇒ (Hypotenuse)² = 25 + 64
⇒ Hypotenuse = √89
Therefore,
sin(x) = 8 / √89
= 8√89 / 89 ( rationalize √89)
Hence, value of sin(x) is equals to (8√89) / (89), 0 < x < 90.
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Question: Which communication strategies do not involve speaking? Select the three
correct answers.
Answers:
A. Using "l' messages
B. Keeping a journal
C. Writing a letter
D. Making eye contact
The water level in a lake decreased by 2 1/4 inches in march and increased by 1 5/8 inches in april. Determine wether the water level increased or decreased and by how much 1. Increased by 3/8 2. Increased by 5/8 3. Increased by 5/8 4. Decreased by 5/8
Change in level is given by :
C = increase in level - decrease in level.
Now,
Decrease in level in March is 2 1/4 = 9/4 inches.
Increase in level in April is 1 5/8 = 13/8 inches.
Putting value of these in above equation, we get :
C = 13/8 - 9/4
C = 13/8 - 18/8
C = -5/8 inches
Therefore, the overall level after April will decrease by 5/8 inches.
Hence, option 4. is correct.
At the store food is $44.25 for 3 pounds. If you buy 4 pounds, how much will it cost ?
Answer:
59 dollars if im wrong tell me
Could x = -5 be a solution to the inequality -6 < 3x + 9 < 21?
Answer:
x=−5<x<4Step-by-step explanation:
So you think that x = -5 is the solution for the inequality? Let's check it out.
(Check)
- Substitute x = -5 in the inequality
[tex]-6<3(-5)+9<21\\-6<-15+9<21\\-6<-6<21[/tex]
If it was the symbol ≤ you'd be correct, but it's < so It's a bit wrong.
Now let's solve the inequality. Separate the inequality by parts.
[tex]\left \{ {{-6<3x+9} \atop {3x+9<21}} \right. \\\left \{ {{-6-9<3x} \atop {3x<21-9}} \right. \\\left \{ {{-15<3x} \atop {3x<12}} \right. \\\left \{ {{x>-5} \atop {x<4}} \right.[/tex]
Therefore, the inequality is true only when x > -5 or x < 4.
(Check)
- Substitute x = -4 in the inequality.
[tex]-6<3(-4)+9<21\\-6<-12+9<21\\-6<-3<21[/tex]
The inequality is true for first case.
- Substitute x = 3 in the inequality
[tex]-6<3(3)+9<21\\-6<9+9<21\\-6<18<21[/tex]
The inequality is true for second case.
So the answer for inequality is -5 < x < 4
That means only {-4, -3, -2, ..., 3} can make the inequality true.
Find the future value of a retirement account in which you deposit $2000 a year for 30 years if
the interest rate is 6%.
a. $60,000
C. $210,666
b. $97,295
d. $158,116
PLEASE HELP!!!!!!!!!!!!! Solve for the following question. SHOW ALL STEPS! 8x-6/2=x+12
Answer: 15/7
Step-by-step explanation: Simplify 6/2 to 3
8x-3=x+12
Add 3 to both sides
8x=x+15
Subtract x from both sides
7x=15
Divide both sides by 7
x=15/7
Answer:
x = 2.14
Step-by-step explanation:
8x - 3 = x + 12 (6/2 = 3)
7x - 3 = 12 (subtracted 1x from both sides)
7x = 15 (added 3 to both sides)
x = 2.14 (divided 15 by 7)
Hope this helps :)
Put the steps for adding and subtracting fractions in the right order.
1. Find the lowest common denominator
2. Keep the denominator the same
3. Add or subtract the numerator
4. Simplify
Answer:
1,3,4,2
Step-by-step explanation:
hope this helps.
This recipe makes three portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?
Recipe: Serves 3
180 g onions
120 g carrots
3 tablespoons of oil
600 g tomatoes
1.2 l vegetable stock
Answer:
Divide each ingredient by 3
Step-by-step explanation:
180 / 3 = 60g onions
120 / 3 = 40g carrots
1 tablespoon of oil
200 g tomatoes
0.4 vegetable stock.
Hope this helps!
Answer:
60g onions
40g carrots
1 tablepoon of oil
200g tomatoes
0.4 vegetable stock
Step-by-step explanation:
what ratios are equivalent to 12:3
Step-by-step explanation
Ratio equivalent to 12:3
= 12:3
= 12/3 (.°.3x4= 12 and 3x1=3)
= 3x4/3x1 (.°. cancellation of 3 from numerator and denominator)
= 4/1
likewise, 4:1 , 60:15 , 84:21 , 132:33..............etc no. of ratios are equivalent to 12:3
.°. Required ratios which are equivalent to 12:3 are4:1 , 60:15 , 84:21 , 132:33..............etc
The ratios are equivalent to the given ratio are 4:1 and 24:6.
The given ratio is 12:3.
When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another.
Here, the equivalent ratio to 12:3 are
12/3 : 3/3
= 4:1
12×2:3×2
= 24:6
Therefore, the ratios are equivalent to the given ratio are 4:1 and 24:6.
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When multiplying or dividing both sides of an inequality by a negative number, you need to remember to "flip" the inequality sign.
True or False
That is a true statement
Step-by-step explanation:
true................
Solving Multi-Step Equations
12 - 10x + 5x = -18
Answer:
x = 16
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
10*x-5*x-3*x-(12)=0
1.1 Pull out like factors :
2x - 12 = 2 • (x - 6)
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
2.2 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
may you please help me?
Answer:
c
Step-by-step explanation:
the awnser is 165 but c is closest
Alice kicks a 0.25 kg soccer ball with 0.5 N of force. What force does the ball exert on Alice’s foot as she kicks it?
Answer:
0.5
Step-by-step explanation:
Answer:
its 0.5 hope this helped
Step-by-step explanation:
f(a) = 54 +3+1; Find f(o)
Answer:
sum of two function
Step-by-step explanation:
Is (1, -2) a solution to the equation y = 5 - 3x?
Answer:
here, in this question given the value of X will be 1 and the value of y will be (-2)
but (-2) =5-3(1)
(-2)=/ 2
so (1,(-2)) is not the solution of the given equation
hope you like the answer.........
please mark the answer as brainliest
........
if
f(x)=2(x-3)+4,
what is:
f(-2)
Answer:
f(-2) = -6
Step-by-step explanation:
2(-2-3) + 4
2(-5) + 4
-10 + 4
-6
Solve for x
A) 6
C) 3
B) -9
D) 5
to the nearest tenth of a unit, what is the distance on a coordinate plane between the points (-6, -9) and (5, 7)? Answer needs to be in units
Answer: 20 units
Step-by-step explanation:
Answer:
20 units
distance formula is (x-x2)^2 + (y-y2)^2 all under a square root.
Jolene has 30 days to prepare for a
bicycle race. She will bicycle 15 miles
each day. How many miles will
Jolene have bicycled during her
training?
Answer:
450 miles in total during her training
Step-by-step explanation:
Since it does say she has 30 days to train and she said she will ride her bike 15 miles everyday she trains so she will have ridden her bike for 450 miles in total
30 days to train x 15 miles per day = 450 miles in total
PLEASE HELP I AM BEING TIMED!!
How many was can the angle be named?
Answer:
3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
GFE
EFG
I'm not sure, but I hope this helps in some way!
a box contains 16 cards bearing numbers 1 2 3 4...... 15 16 respectively a card is drawn at random from a box what is the probability that the number on the card is 1.an odd number 2. prime number 3.number divisible by 3 .4.number not divisible by 4
Answer:
9/16
6/16
10/16
8/16
Step-by-step explanation:
On Saturday, 32,736 more movie tickets were sold than on
Sunday. On Sunday, only 17,295 tickets were sold.
How many people bought movie tickets over the weekend?
1. Evaluate the expression 4a - 3b + c; if a = -2, b = 4 and c = -5.
A. -25
B. -15
C. 1
D. 25
Answer:
A
Step-by-step explanation:
plug in all variable values
4(-2) - 3(4) + (-5)
negative × positive = negative
positive × negative = negative
-8 - 12 - 5
-20 - 5
-25
I need help please
ew=p ,solve for e
Answer:
e=p/w
Step-by-step explanation:
Take w and move it to the left by dividing both sides by w to get the answer
What should you do first to solve this equation? -5x - 8 = 12
A.) Subtract 8 from both sides
B.) Add 5 to both sides
C.) Multiply both sides by -5
D.) Add 8 to both sides
Answer:
D
Step-by-step explanation:
Add 8 to both sides welcome :)
Answer:
The answer is D
.........
A complex number z_1z 1 z, start subscript, 1, end subscript has a magnitude |z_1|=6∣z 1 ∣=6vertical bar, z, start subscript, 1, end subscript, vertical bar, equals, 6 and an angle \theta_1=70^{\circ}θ 1 =70 ∘ theta, start subscript, 1, end subscript, equals, 70, degrees. Express z_1z 1 z, start subscript, 1, end subscript in rectangular form, as z_1=a+biz 1 =a+biz, start subscript, 1, end subscript, equals, a, plus, b, i. Round aaa and bbb to the nearest thousandth.
Answer:
Step-by-step explanation:
Given the modulus of a complex number |z1| = 6 and its argument θ1 = 70°
If z1 = a+bi, according to definition;
|z1| = √a²+b²
|z1|² = a²+b²
Since |z1| = 6, |z1|² = 6² = 36
a²+b² = 36 .......... 1
Also the argument is derived from the expression
tan θ = b/a
tan 70 = b/a
b/a = 2.75
b = 2.75a ........ 2
Substitute equation 2 into 1
a²+b² = 36
a²+(2.75a)² = 36
a²+7.5625a² = 36
8.5625a² = 36
a² = 36/8.5625
a² = 4.204379
a = √4.204379
a = 2.051 (to nearest thousandth)
Since b = b = 2.75a
b = 2.75(2.051)
b = 5.639 (to nearest thousandth)
z1 = 2.051+5.639i
Answer: [tex]-5\sqrt{3}-5i[/tex]
Step-by-step explanation: It was right on Khan
Kareem heats a beaker of water to a boil. Then he records that the water temperature decreases from 100°C to 19°C in 525 minutes.
What was the change in temperature each minute? Enter your answer in the box.
Answer:
0.154 °C/minute
Step-by-step explanation:
100 °C - 19 °C = 81 °C
(81 °C)/(525 minutes) = 0.154 °C/minute
Lorrie wants to determine the average amount of time that students at her school spend on the computer each day. There are 350 students in 15 classes. The number of boys and girls is approximately equal. Which is the most random sample?
50 students in the art club
40 girls on her soccer team
2 students from each of the 15 classes
10 students from each of the 3 computer electives
Answer:2 students from each of the 15 classes because we don’t know the exact amount
C for the lazy readers
Step-by-step explanation:
just finished taking the test
The most appropriate random sample is 2 students from each of the 15 classes.
What is a random sample?In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.
Given, Lorrie wants to determine the average amount of time that students at her school spend on the computer each day.
There are 350 students in 15 classes.
After going through the options we can conclude that the most appropriate random sample is 2 students from each of the 15 classes.
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Does anyone know the right answer to this ?
Answer:
false, true, true
Step-by-step explanation:
hope this is gonna help u :D
Answer:
false true, true
Step-by-step explanation:
so 1 is false 2 is true 3 is true
i think
i need help. there is two question please answer both
Answer:
Problem 1: HI = 12.22
Problem 2: AB = 16.23
Step-by-step explanation:
Problem 1:
tan = opposite / adjacent
HI = x
tan 42° = 11 / x
multiply both sides of the equation by x
x (tan 42°) = 11
divide both sides of the equation by tan 42°
x = 11 / tan 42°
tan 42° = 0.90 (given)
x = 11 / 0.90
x = 12.22
Problem 2:
cosine = adjacent / hypotenuse
cos 52° = 10 / c
multiply both sides by c
c (cos 52°) = 10
divide both sides by (cos 52°)
c = 10 / cos 52°
cos 52° = 0.616 (given)
c = 10 / 0.616
c = 16.23