Answer:
Hypotenuse = 20
Step-by-step explanation:
As we know that in 30 60 90 triangle
Short leg = X
Hypotenuse = 2X
Perpendicular = X[tex]\sqrt{3}[/tex]
Short leg = X = 10
Hypotenuse = 2X = 10*2 = 20
Final answer:
In a 30-60-90 triangle, the hypotenuse is twice the length of the shortest leg. Therefore, with a shortest leg of 10, the hypotenuse is 20.
Explanation:
The student has asked about the length of the hypotenuse in a 30-60-90 triangle where the shortest leg is given as 10. In a 30-60-90 triangle, the ratios of the sides are 1:√3:2. Since the shortest leg (the one opposite the 30° angle) is known to be 10, we can find the hypotenuse by multiplying the length of the shortest leg by 2.
Thus, the hypotenuse is 20.
To summarize the process, if the shortest leg a is known, then the hypotenuse c is calculated using the formula: c = 2a. Given that a = 10, the calculation would be c = 2 × 10 = 20.
mrs. sorbel has 25 students in her class .21 students are wearing their badges. what percent of mrs.sorbels class is not wearing their badge
Answer:
84% I believe
Step-by-step explanation:
Answer:
84%
Step-by-step explanation:
You take the 21 students with badges and multiply by 100. You get 2,100, take that and divided by 25. You get 84 percent ( I think it’s the answer so sorry if it’s wrong)
The last line of a proof represents
What is the solution of the system?
10x−2y=24
6x+2y=8
Enter your answer in the box, as an ordered pair
Answer:
The solution is (2, -2)
Step-by-step explanation:
Let's find out the solution of the system:
10x − 2y = 24
6x + 2y = 8
Describing x in terms of y in the first equation, this way:
10x − 2y = 24
10x = 24 + 2y
x = 2 * (12 + y)/10 (Dividing by 10 at both sides)
x = (12 + y)/5 (Simplifying)
Solving for y in the 2nd equation:
6x + 2y = 8
6 * (12 + y)/5 + 2y = 8
(72 + 6y)/5 + 2y = 8
72 + 6y + 10y = 40 (Multiplying by 5 at both sides)
16y = 40 - 72
16y = -32
y = -2
Solving for x in the 1st equation:
10x − 2y = 24
10x - 2 * -2 = 24
10x + 4 = 24
10x = 24 - 4
10x = 20
x = 20/10
x = 2
The solution is (2, -2)
16.3k + 19.2 + 7.5k = -64.1
You need to find "k", by isolating/getting "k" by itself in the equation
16.3k + 19.2 + 7.5k = -64.1 First combine like terms, 16.3k and 7.5k
23.8k + 19.2 = -64.1 Subtract 19.2 on both sides
23.8k = -83.3 Divide 23.8 on both sides to get "k" by itself
k = - 3.5
Please help on this 8 questions ASAP
Answer:
2. either of two angles whose sum is 180°.
3. each of the pairs of opposite angles made by two intersecting lines.
4. Two angles are adjacent when they have a common side and a common vertex (corner point) and don't overlap.
5. The acute angle is an angle less than 90°
6. It is more than 90° and less than 180°.
7. an angle of 90°
8. an angle of 180°
slope of (0,3) and (-4,-1)
The perimeter of a rectangle is 30 inches. Its length is three times its width. Write an equation to represent the problem
Answer:
Eqn of the problem: 2(3x + x) = 30
Solution: Width = 3.75 inches and Length= 11.25 inches
Step-by-step explanation:
We are given;
The perimeter of the rectangle as 30 inches Length is 3 times its widthWe are required to represent the equation of the problem;
Assuming the width = x inches, then;Length = 3x inchesThe formula for getting the perimeter of a rectangle is;
Perimeter = 2 (l+w)
In this case;
2(3x + x) = 30
Therefore;
The equation for the problem is;
2(3x + x) = 30
8x=30
Thus;
8x = 30
x = 3.75 inches
3x = 11.25 inches
Hence, the with is 3.75 inches while the length is 11.25 inches
PLEASE HELP ME MAKE HONOR ROLL PLEASE NEED HELP
Translate this phrase into an algebraic expression.
71 less than twice Julie's age
Use the variable j to represent Julie's age.
Answer:
71 < 2 · j
Step-by-step explanation:
71 less than twice Julie's age
Use the variable j to represent Julie's age.
71, less than (<) twice (2) and j represents the age
Quotient of 4 and a number increased by 10
Answer:
x+10/
Step-by-step explanation:
Quotient of 4 =divide by 4
a number increased by 10= x+10
The statement 'Quotient of 4 and a number increased by 10' can be translated into a mathematical expression as 4/x + 10, where x is the unknown number.
Explanation:If you mean the quotient of 4 and a number, we call that unknown number 'x'. So, the quotient of 4 and a number x is written as 4/x. Then, according to your question, that quotient is increased by 10. In mathematics, 'increased by' typically equates to the operation of addition. Thus, the entire expression translates into mathematical terms as 4/x + 10.
Learn more about Mathematical Expression here:https://brainly.com/question/34902364
#SPJ3
WILL GIVE BRAINLY
The equation of the line of best fit of a scatter plot is y = -5x - 2. Vhat is the slope of the equation?
Answer:
A line of best fit is a straight line that best represents the data on a scatter plot. The equation of the best fit line is y = ax + b. In this form, a is the slope of your best fit line and b is the y-intercept.
Answer:-5
Step-by-step explanation:
this is because it’s the X value. That’s the slope
The volume of industrial production increased ten times. What was this increase in percent?
Answer:
1000%
Step-by-step explanation:
Think of 1x10. This is kinda hard to explain but if lets say 1 is 100% of the total number then you mutiply it by 10 you also mutiply the percent which in this case was 100% of 1.
900 % is the correct answer UvU
Have a good day!
PLEASE I NEED TO KNOW ASAP
i know this is probably easy but i don’t understand it.
1.666666667x10^3 in 1 decimal place not in standard form
would it be something like 1.06
3,400,000
I thaink but not shore if wrong i'm sorry
Answer:
666.6
Step-by-step explanation:
1.666666667*10^10^3= 666.6
Which polygon has exactly one pair of parallel sides? A. rectangle B. trapezoid C. parallelogram D. square
Answer:
B. trapezoid
Step-by-step explanation:
The other three have two pairs of parallel sides
Answer:
B
Step-by-step explanation:
What happens to the acidity of solutions A and B after
dry ice is added?
Acidity Changes after Dry Ice is Added
Timesec)
PM of Solution pH of Solution
The pH of solution A decreases, and the pH of
solution B increases.
8.5
The pH of solution A increases, and the pH of
solution B decreases.
The pH of solution A increases, and the pH of
solution B increases
8.0
102
72
The pH of solution A decreases, and the pH of
solution B decreases
9.6
6.5
90
3x 2 - 6 = 10 - x 2
{±1}
{±2}
{±4}
Answer:
x = ± 2
Step-by-step explanation:
Given
3x² - 6 = 10 - x² ( add x² to both sides )
4x² - 6 = 10 ( add 6 to both sides )
4x² = 16 ( divide both sides by 4 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
b {+2}
1111111111111111111111
A car drives 195miles in 3hrs and 15mins what’s the average speed of the car
Answer:
60
Step-by-step explanation:
195mi / 3.25hr = 60 mi/hr60
Answer: 0.0166666666 recurring
Mph
Step-by-step explanation:
Determine the general form of the equation for the circle x^2 + (y + 1)^2 = 2.
Answer:
x² + y² + 2y - 1 = 0
Step-by-step explanation:
The general form of the equation for the circle:
x² + y² + ax + by + c = 0
Where: a, b and c are constants.
For the given equation:
x² + (y + 1)² = 2
∴ x² + (y + 1) (y+1) = 2
∴ x² + y² + 2y + 1 = 2 ⇒ subtract 2 from both sides
∴ x² + y² + 2y + 1 - 2 = 2 - 2
∴ x² + y² + 2y - 1 = 0
So, the general form of the equation for the circle:
x² + y² + 2y - 1 = 0
Bill works in a hardware store. sixteen hours represent 40% of bills work week. How many hours does bill work in one week?
I have to wake up at 5am and it’s 11pm can someone please help me with this so I can go to bed please
Answer:
the 11th week.
Step-by-step explanation:
the expression for the markdown on the 8th week is p-.15p=.85p since it will get marked down 15% on the 8th week. the expression for the additional markdowns is p-.05p=.95p since it will get marked down an additional 5% every week after the 8th week.
On the 8th week it will be marked down to .85(150) = 126.50.
9th week: .95(127.50) = 121.13
10th week: .95(121.13) = 115.07
11th week: .95(115.07) = 109.32
109 is under 110 therefore it is the 11th week.
Max takes a taxi to work one day. The taxi charges. A $6 flat fee plus $0.25 per mile. Max wants to spend exactly $12.50. How many miles will he travel in the taxi for this amount?
Enter the fraction 33100 as a decimal
Answer:
0.33
Step-by-step explanation:
If you have the number 1 and divide it by 100, you get 1/100, 0.01, or 1% of 1. If you multiply 1/100 by 33, you get 33/100, 0.33, or 33% of 1.
Help ASAP with these
Answer:
Therefore the correct assembling is
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
Step-by-step explanation:
Given:
AD ≅ BC and AD || BC
To Prove:
ABCD is a Parallelogram
Proof:
Alternate Interior Angles Theorem :
"When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.
Here AD || BC and the transversal is AC
Statement Reasons
1. AD ≅ BC . 1. Given
2. AD || BC 2. Given
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
Therefore the correct assembling is
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
Show how to use mental
Math to find 513 - 198
Answer:
311
Step-by-step explanation:
you could try to round it for example 510-200=310
310+3=313
313-2=311
1.5x=3 whats the answer
Answer:
To find the value for x you need to get x by itself
To do this we need to do the opposite of what it is showing
1.5 times x the opposite would be dividing
So we need to divide 1.5 from each side (what you do to one side you do to the other)
1.5x/1.5=x (x is now by itself)
3/1.5=2
x=2
Hope this helps ;)
What is the constant of this proportionality for 1 4, 2 8, 3 12, 4,16
Answer:
k = 4
Step-by-step explanation:
The constant of proportionality is found by starting with y = kx, then finding k.
We can just use one point (such as the first one, (1,4) ) and substitute these values of x and y into the equation y = kx, to get:
4 = k x1
k = 4.
So y = 4x
(we can also check that all the other points also satisfy this equation - which they do, as each y value is 4 times the corresponding x value)
Answer:
4
Step-by-step explanation:
Convert 2671, to base 3 without first converting to base 10.
I do not understand the second half of the question but 2671 in base 3 is 10122221
Answer:
10122221 base 3
Step-by-step explanaUrtion:
what is 1/4 + 3/7? please explain how to solve it.
Answer: 19/28
Step-by-step explanation: Notice that 1/4 and 3/7 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 4 and 7 will be the least common multiple of 4 and 7 which is 28.
To get a 28 in the denominator of 1/4, we multiply the numerator and the denominator by 7 which gives us 7/28.
To get a 28 in the denominator of 2/7, we multiply the numerator and the denominator by 4 which gives us 12/28.
Now to add like fractions or fractions that have the same denominator, we simply add the numerators and keep the original denominator.
So here, we have 7 + 12 which is 19 and we put this over our original denominator which is 28.
So, 1/4 + 3/7 = 19/28.
|1/2(16−6^3)| plz help
Answer:
I believe the answer to this question is: 100.
PLEASE.HELP ASAP. STEP BY STEP PLZ. Suppose the distance in miles traveled from home to school is 15 miles. suppose it takes 36 minutes. Find the time in hours traveled from home to school. The minutes can be
divided by 60 to get hours. For example 45 minutes = 45/60 =0.75 hours. Write the answer at a
number only with a zero before the decimal, ie.0.75.
The sum of two numbers is thirty seven. Using x to represent the larger of two numbers, translate “the difference between nine more than twice the larger number and the sum of the smaller number and three” into a variable expression
Two numbers = 37
Larger number is x, so the smaller number is 37 - x:
x + (37 - x) = 37
“The difference” is subtraction, so we are subtracting the smaller and larger number.
“Nine more than twice the larger number” looks like 9 + 2x, and “the sum of the smaller number and three” looks like (37 - x) + 3. Because this is subtraction, we would write (9 + 2x) - (37 - x) + 3. First, distribute the negative sign:
-(37 - x) = -37 + x
We then simplify:
9 + 2x - 37 + x + 3 (subtract 3)
9 + 2x - 34 + x
-25 + 2x + x (subtract 8 and 34 then add 2x and x)
-25 + 3x
The variable expression for the given problem, where x is the larger number and the sum of two numbers is thirty-seven, is 2x + 9 - (37 - x + 3).
The student is asking to translate a word problem into a variable expression. The problem states that the sum of two numbers is thirty-seven and defines the larger number as x. We want to find the expression for "the difference between nine more than twice the larger number and the sum of the smaller number and three". Knowing that the sum of the two numbers is thirty-seven, we can represent the smaller number as 37 - x. Therefore, the expression would be 2x + 9 - (37 - x + 3).