what are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotensue is 15 units long?
Answers
Given:
m∠A = 19°
c = 15
By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835
cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828
Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)
Answer:
For plato users the correct option is D.
Step-by-step explanation:
D. 4.9 units, 14.2 units
Related Questions
if x^2+14x-95=(x+a)(x+b), then the numerical value for ab is
Answers
a = -5
b = 19
PLEASE HELP!!!
1. The coordinates of the vertices of triangle ABC are A(-1,3), B(1,2) and C(-3,-1).
Determine the slope of each side of the triangle and use that information to determine if the triangle is a right triangle or not.
2.The coordinates of the vertices of quadrilateral JKLM are J(-3,2), K(4,-1), L(2,-5) and M(-5,-2).
Find the slope of each side of the quadrilateral and determine if the quadrilateral is a parallelogram
Answers
-1/2
BC 2+1/1+3
3/4
AC 3+1/-1+3
4/2=2
It is a right triangle
2. JK -1-2/4+3
-3/7
LM -2+5/-5-2
-3/7
KL -1+5/4-2
4/2=2
JM 2+2/-3+5
4/2=2
The quadrilateral is a parallelogram
Katherine owns the trendy boutique where Clara works as a shop assistant. Deanne loves the clothes in Katherine's boutique and shops there often. Which of these three people is a consumer?
Answers
Answer:
Deanne
Step-by-step explanation:
Deanne is a consumer
A 14.5-gallon gasoline tank is 3 — 4 full. how many gallons will it take to fi ll the tank?
Answers
It would take 3.625 gallons of gasoline to fill a 14.5-gallon tank that is already 3/4 full.
Explanation:The question asks how many gallons of gasoline are needed to fill a 14.5-gallon tank that is already 3/4 full. To find the amount needed to fill the tank, we first determine how much gasoline is currently in the tank by multiplying 14.5 gallons by 3/4:
14.5 gallons × 3/4 = 10.875 gallons
This means that there are 10.875 gallons of gasoline in the tank at the moment. To find out how much more gasoline is needed to fill the tank, we subtract this amount from the tank's total capacity:
14.5 gallons - 10.875 gallons = 3.625 gallons
Therefore, it would take 3.625 gallons of gasoline to fill the tank.
You are paid $82.50 for 7 1/2 hours of work. What is your rate of pay?
Answers
all you have to do is take the total, and divide it by how long you work, in order to get how much you made per hour.
hope this helped!
what is the answer to this 5+5x=-2x+5=?
Answers
5x + 2x = 0
7x = 0
x = 0
5+5x=-2x+5
Isolate the x. Add 2x to both sides, and subtract 5 from both sides
5 (-5) + 5x (+2x) = -2x (+2x) + 5 (-5)
5x + 2x = 5 - 5
8x = 0
Isolate the x. Divide 8 from both sides
8x/8 = 0/8
x = 0
0 is your answer
hope this helps
Find the slope of the line through the points (x1, y1) and (x2,y2)
Answers
y2 - y1
______ =m
x2 - x1
Plug the numbers into the equation and solve.
Answer:
y2-y1/x2-x1
Step-by-step explanation:
if b is between a and c then ab+bc=ac
Answers
Let a = 1, b = 3, and c = 5.
ab + bc = ac
3 + 15 = 5
18 ≠ 5
Since 18 does not equal 5, this is false. If you were to use the distributive property on ab + bc = ac, you would get
b(a+c) = ac, which doesn't even make sense.
Have a nice day! :)
Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C
Answers
Find the simple interest on a loan of $3,500 at 7.8% interest for 9 months
Answers
The sum of the angle measures of a polygon with n sides is 1260. find n.
Answers
180x(n-2)
180x(n-2)=1260 (solve for n here)
180n-360=1260
180n=1260+360
180n=1620
n=1620/180
n=9
Therefore, this polygon has 9 sides.
Hope I helped :)
The sum of the angle measures of a polygon with 9 sides is 1260.
What is Angle Sum property?To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.
As, the sum of the interior angles
(x - 2) x 180 where x is number of sides.
Here, the angle sum for n side is 1260.
So, (n -2) 180 = 1260
n -2 = 1260 / 180
n - 2 = 7
n= 7+2
n= 9 sides
Thus, the polygon have 9 sides.
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An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side? Explain how you would define a variable for this problem.
Answers
4x=28
x=7
2×7-5=9
The third side is 9 the variable is x
To find the length of the third side, we can set up an equation using variables. Solving the equation will give us the length of the third side.
Explanation:To solve this problem, we can define variables to represent the lengths of the two equal sides of the isosceles triangle. Let's say the length of each equal side is x. The third side can then be represented as 2x - 5. Since the perimeter of the triangle is 23 cm, we can set up an equation:
x + x + (2x - 5) = 23
Now we can solve for x:
4x - 5 = 23
4x = 28
x = 7
Therefore, the length of the third side is 2(7) - 5 = 9 cm.
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Using the speaking outline, how many times should you practice? five or more three two one
Answers
According to the speaking outline, it is recommended to practice your speech at least five times or more.
According to the speaking outline, you should practice your speech "five or more" times. Practicing your speech multiple times helps you become more familiar with the content, improve your delivery, and gain confidence in your presentation. The more you practice, the better prepared you'll be to deliver a successful speech.
Therefore, it is recommended to practice your speech at least five times or more.
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According to the speaking outline, it is recommended to practice your speech at least five times or more.
According to the speaking outline, you should practice your speech "five or more" times.
Practicing your speech multiple times helps you become more familiar with the content, improve your delivery, and gain confidence in your presentation.
The more you practice, the better prepared you'll be to deliver a successful speech.
Therefore, it is recommended to practice your speech at least five times or more.
for such more question on times
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A student has selected 8 books that she likes, but she has money only for 3 books. how many possible selections does she have?
Answers
In this problem, n = 8 and k = 3. So the number of possible selections is
[tex]8C3= \frac{8!}{3!(8-3)!}=56 [/tex]. Thus the answer is 56.
What is the inverse of the conditional statement “If a number is divisible by 6, then it is divisible by 3”?
Answers
Hope this helps
6 divided by is 2
Hope this helped!!!!!
true or false circumference is the distance around the outside of a circle.
Answers
A storage tank at a 24-hour gas station contains 25,000 gallons of gasoline at 8:00 a.m. on Monday. At 8:00 a.m. on Friday of the following week, the amount of gasoline in the tank has decreased to 7000 gallons. What is the average hourly rate of change of gasoline in the tank?
Answers
Problem page the sum of two numbers is 56 . the smaller number is 16 less than the larger number. what are the numbers?
Answers
1) x+y=56
2) y=x-16
Substitute the value of y into the 1st equation and simplify
1)x+x-16=56
2x=72
x=36
Substitute the value of x into the 1st equation and simplify
1)x+y=56
36+y=56
y=20
Answer: 20 and 36
If one candy bar weighs 3 ounces what is the weight of 11 candy bars
Answers
Final answer:
The weight of 11 candy bars is calculated by multiplying the weight of one candy bar, which is 3 ounces, by 11. The total weight for 11 candies is equal to 33 ounces.
Explanation:
If one candy bar weighs 3 ounces, the weight of 11 candy bars can be found by multiplying the weight of one candy bar by the number of candy bars. The calculation would be as follows:
Multiply the weight of one candy bar by the number of candy bars: 3 ounces × 11 = 33 ounces.
Therefore, the weight of 11 candy bars is equal to 33 ounces.
Help me with this please
Answers
Each of my daughters has as many brothers as sisters, but each of my sons has three times as many sisters as brothers. How many children do I have?
Answers
For the first half of the statement:
Number of sisters any daughter has = x-1 ( because you can't be your own sibling)
Number of brothers = y
y=x-1.
For the second half:
Number of sisters any son has = x
Number of brothers any son has = y-1
3(y-1)=x
Solve as system of equations.
3y-3=x
3(x-1)-3=x
3x-3-3=x
2x=6
x=3
y=x-1=3-1=2
3 daughters and 2 sons.
Hope this helps!
Your fortune is "You can't have everything...where would you put them all?"
The family has 3 sons and 3 daughters, for a total of 6 children.
Explanation:
The question is a problem in basic algebra which can be solved using simple logical reasoning. We are given that each daughter in the family has as many brothers as sisters, and each son has three times as many sisters as brothers.
Let's start by saying that the number of daughters is D and the number of sons is S.
If each daughter has the same number of brothers as sisters, that means D = S. But, each son has three times as many sisters as brothers, which we can express as S = 3*(D - 1), because the number of sisters for each son is the number of daughters minus one (each son doesn't count himself as a sister).
By substituting D from the first equation into the second, we get S = 3 * (S - 1), which simplifies to S = 3, and thus D = 3 as well.
So, the family has 3 sons and 3 daughters, for a total of 6 children.
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Rewrite the expression as a polynomial in standard form.
Answers
and then rewrite putting the number with the highest exponent first, the second highest and so on
The expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) can be rewritten in standard form as -2x³ + 5x² - 16x
How did we get the value?To rewrite the expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) as a polynomial in standard form, we can combine like terms.
First, let's distribute the negative sign in front of the parentheses:
(2x² - x³ - 9x + 1) - x³ - 7x + 3x² - 1
Next, let's group the like terms together:
2x² + 3x² - x³ - x³ - 9x - 7x + 1 - 1
Now, let's combine the terms:
(2x² + 3x²) + (-x³ - x³) + (-9x - 7x) + (1 - 1)
5x² - 2x³ - 16x + 0
Finally, the expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) can be rewritten in standard form as:
-2x³ + 5x² - 16x
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which fraction is less than 7/15
A: 5/9
B: 6/11
C: 1/2
D: 4/9
Answers
The answer is D
please give brainliest
Kristin is 20 miles behind a truck that is driving 50 miles per hour. How long will it take her to catch up to the truck? How far will she go in that time
Answers
It will take Kristin 24 minutes to catch up to the truck. She will travel a distance of 20 miles in that time.
Explanation:To calculate how long it will take for Kristin to catch up to the truck, we can use the equation: time = distance / speed. Since Kristin is 20 miles behind the truck, she will need to cover a distance of 20 miles to catch up to the truck. Assuming she drives at a constant speed, we can use her speed as the truck's speed since she needs to match it to catch up.
Time to catch up = 20 miles / 50 miles per hour = 0.4 hours = 24 minutes.
In that time, Kristin will travel the same distance as the truck. So, she will go 20 miles in 24 minutes.
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BRAINLIESTTTTT
1. Write the equation of the line that passes through the points (3, 6) and (4, 10) using function notation.
f(x) = 4x − 6
f(x) = x + 4
y = x + 4
y = 4x − 6
Answers
Answer:
1. f(x) = 4x -6
2. see the attachment
Step-by-step explanation:
1. The only two answer choices using "function notation" are the first two, which are of the form ...
f(x) = <some expression involving x>
The only one of these that can describe both points is the first one:
f(x) = 4x -6
f(3) = 4·3 -6 = 6
f(4) = 4·4 -6 = 10
__
2. Slope is the ratio of rise to run. When it is zero, there is no rise for any amount of run: the line is horizontal. The appropriate choice is the graph that shows a horizontal line.
If you study hard, then you can pass the tests.
If you pass the tests, then you can pass the class.
What conclusion can be draw from the statements above?
A) Studying hard will allow you to pass the class.
B) Only students who pass tests study hard.
C) If you have passed the class, you must not have studied very hard.
D) Not passing tests means that you did not study.
Answers
Answer:
A) Studying hard will allow you to pass the class.
A car travels 83 7/10 miles on 2 1/4 gallons of fuel. Which is the best estimate of the number of miles the car travels on one gallon of fuel
Answers
round miles up to 84
round gallons down to 2
and divide
84 /2 = 42 miles per gallon ( estimate)
What is the number in scientific notation? 409,200,000,000
Answers
Could someone help with 14 I know it’s not a Consecutive interior but it could be A) alternate interior B) alternate exterior C) corresponding D) exterior
Answers
-hope this helps
Solve for q.
s = 4p + 4q
I'm thinking q= s - 4p
--------
4
Answers
that ur answer