What is the length of the hypotenuse of the triangle ABC
what is the length of the shorter leg of triangle ABC
What is the length of the longer leg of triangle ABC
thank you sm!!!!
Answers
Answer:
9. AB = (40/3)√3
10. BC = (20/3)√3
Step-by-step explanation:
The ratios of side lengths in the "special" 30-60-90° triangle are ...
1 : √3 : 2
__
If D is the point where the altitude meets AB, then we have for the left triangle ...
CD : AD : CA = 1 : √3 : 2 = 10 : 10√3 : 20
and, for the right triangle ...
BD : CD : BC = 1 : √3 : 2 = (10/√3) : 10 : (20/√3)
and for the large triangle ...
BC : CA : AB = 1 : √3 : 2 = (20/√3) : 20 : (40/√3)
__
9.The hypotenuse of ΔABC is AB, shown above to be ...
AB = 40/√3 = (40/3)√3
__
10.The shorter leg of ΔABC is BC, shown above to be ...
BC = 20/√3 = (20/3)√3
Related Questions
If stu=(13x-6), msu=(21x+8) and mut=143 find mst
Answers
The value of arc ST in the circle with center at point V is 125 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
mSU = 2 * ∠STU (angle at center is twice angle at circumference)
21x + 8 = 2(13x - 6)
x = 4
mSU = 21(4) + 8 = 92°
mSU + mUT + mST = 360° (angle in a circle)
92 + 143 + mST = 360
mST = 125°
The value of arc ST in the circle with center at point V is 125 degrees.
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find the x- and y- intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6
Answers
Y- intercept: (0,2)
.The figure below includes a semicircle and
trapezoid. Find the area of the figure.
Answers
Answer:
244.93
Step-by-step explanation:
area formula for trapezoid:1/2*(b1+b2)*h
area formula for semi circles: (3.14*r^2)/2
so then we cut the figure to make a semi cirlce and trapazoid
semicircle- 14 is the full diameter, divide by 2 to make 7, 7×3.14×7)/2=76.93
trapezoid: base one is 18. base 2 is 14. 18+14=32 then times that by 10.5 which is 336 and divide that by 2 is 168
add both and you get 244.93
In figure MNL, the value of x is:
Answers
Answer:
x=6
Step-by-step explanation:
Those are scalene triangles, if 9 is the base, then the other two sides will be congruent, so x=6.
What is the answer??
Answers
Answer:
5 given as -1 and 8 positive 8 cross by axis
Jorge earns $12 an hour. deductions
for taxes and insurance take 25% of
his earnings. which equation could be
solved to find jorge's take-home pay, p,
after h hours of work?
Answers
Answer:
%25 of $12 an hour = 3
HELP PLEASE!!!
The two-way table shows the number of students in a school who like painting and/or dance.
Like Painting
Do Not Like Painting
Like Dance
28
?
Do Not Like Dance
17
18
45
What is the missing number in the table?
016
023
033
079
Answers
Answer:
The total for liking and not liking painting is 51.
28 like painting, so to find the missing number subtract 28 from 51.
The missing number is 23
in 2010 there were 3200 tigers in the wild in 2016 there were 3890 tigers what is the percentage increase. Give ur answer to the nearest whole number
Answers
A percentage is a way to describe a part of a whole. The percentage increase in the number of tigers is 21.56%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The percentage change is given by the formula,
Percentage change = |(Intial Value - Final value)|/Initial Value × 100%
Percentage Change = |3200-3890|/3200 × 100% = 21.56%
Hence, the percentage increase in the number of tigers is 21.56%.
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An office supply store sells boxes of pencils.each box contains 160 pencils. write an equation that represents the total number of pencils,y, in x boxes.
Answers
Answer:
160 times X
Step-by-step explanation:
160 is the number of pencils in each box.
And
X is how many boxes there are.
If 1 box contains 160 pencils then the equation which represents the total number of pencils is y=160x.
What is equation?An equation is a relationship between two or more variables where variables represent some quantity . It is mostly found in equal to form. It is equated to find the value of variables.
Equation form :y=a+bx
How to form equation?There are 160 pencils in one box and x represents the number of boxes. So the equation that represents the total number of pencils can be found by product of x and 160.
Equation will be x*160=160x.
Hence the equation which represents the total number of pencils is y=160x.
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5. Find (f◦g)(x) and (g◦f)(x) and the domain of each.
f(x)=x2−3, g(x)=2x−
Answers
Answers:
[tex](f \circ g)\;(x) = 4x^2 - 12x + 6\\\\(g \circ f)\;(x) = 2x^2-9\\\\[/tex]
The domain for both is "all real numbers".
============================================================
Explanation:
The work is shown below in the attached image.
The domain for each composite function is the set of all real numbers because we don't have to worry about things like dividing by zero, or taking the square root of a negative number. Any x value is allowed.
whats the 8th term of 12,18,27
Answers
8,12,18,27
DIFFERENCE NO. 1
12–8=4
18–12=6
27–18=9
DIFFERENCE NO. 2
6–4=2
9–6=3
FINALLY
4+9=13
13+27=40
ANSWER= 40
Answer:
205.03125.
Step-by-step explanation:
18/12 = 1.5
27/18 = 1.5
This is geometric with nth term = ar^(n-1)
Here first term a = 12 and common ratio r = 1.5, so
The 8th term = 12(1.5)^(8-1)
= 205.03125
Select all the numbers that are rational
Answers
Answer:
-13/3
and the last 2
Step-by-step explanation:
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. For example, 3 can be written as 3/1, -0.175 can be written as -7/40, and 1 1/6 can be written as 7/6.
Multiply using an area model: (3x+2)(2x-4)
Answers
Which of the following is the
correct way to express
3.7 x 10-3 in standard form?
A 3.7
B 3,700
C 0.0037
Answers
Answer:
0.0037
Step-by-step explanation:
In scientific notation, if the exponent is negative, you shift the decimal to the left to find the number in standard form.
the negative in -3 signifies the decimal point moves to the left!!
Solve for X
13=270 (0.5)^x/7
Answers
Answer:
Step-by-step explanation:
find the value of cos θ if sin θ=1/2;0 degrees< θ< 90 degrees
Answers
Answer:
cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
sin²Θ + cos²Θ = 1 ( subtract sin²Θ from both sides )
cos²Θ = 1 - sin²Θ ( take square root of both sides )
cosΘ = ± [tex]\sqrt{1-sin^20}[/tex]
= ± [tex]\sqrt{1-(\frac{1}{2})^2 }[/tex]
= ± [tex]\sqrt{1-\frac{1}{4} }[/tex]
= ± [tex]\sqrt{\frac{3}{4} }[/tex]
= ± [tex]\frac{\sqrt{3} }{2}[/tex]
since 0° < Θ < 90° , then
cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]
the lenght of a rectangle is x+5 and it,s breath is x-5the areas of a rectangle is is x raise to the power of 2-x-15 is it true or false?
Answers
Answer:
False
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
= (x + 5)(x - 5) ← expand factors using FOIL
= x² - 5x + 5x - 25
= x² - 25 ≠ x² - x - 15
Drag each line to the correct location on the image. Not all lines will be used.
Match the lines of best fit to the scatter plots.
Answers
#1
The line should start just over origin
Line 2 is best fit as it will contain most dots on both sides#2
Line should step downwards to contain moSt dots
Line no 6#3
Quite above origin and half steadier (angle about 30-45)
Line 4#4
Almost staright line and almost parallel to x axis
Line 3I need help with this pls!!
Answers
Answer:
Second choice
Step-by-step explanation:
This is a circle with center at 0,0
radius = sqrt 100 = 10
jamal is attending a university where fitr tuition one year costs 11,800. he has a scholarship worth 1,500 per year he earns 2,500 per year at his part time job. he plans to take out a loan to cover the remaining tuition costs. Tuition will increase by 100 each year. If he completes collage in 4 years , how much money will jamal need to borrow
Answers
Answer:
Jamal will have to borrow 31,800.
Step-by-step explanation:
Total tuition for the full four years = 11,800 + 11,900 + 12,000 + 12,100 = 47,800
Total money from scholarship = 1,500 × 4 = 6,000
Total income received = 2,500 × 4 = 10,000
Total money to borrow = 47,800 - 6,000 - 10,000 = 31,800
What is the surface area of this right rectangular prism?
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
ft²
Answers
Answer:
32 1/3
Step-by-step explanation:
Answer:
The answer is [tex]31\frac{9}{10}[/tex].
Step-by-step explanation:
Make sure to follow this formula
[tex]2(lw)+(lh)+(wh)[/tex]
[tex]2(1.3x1.5)+(1.3x5)+(1.5x5) \\= 2(1.95+6.5+7.5)\\=31.9=31\frac{9}{10}[/tex]
what is an event in which the outcome does impact the probability of the next event?
Answers
Answer:
Dependent Event
Step-by-step explanation:
Dependent Events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.
hey .what is the truth set of the equality 4x+2>6x+8?
Answers
Answer:
x < - 3
Step-by-step explanation:
4x + 2 > 6x + 8
=> 4x - 6x > 8 - 2
=> -2x > 6
Divide by -2 (Since dividing by -ve, operator sign changes)
=> x < - 3
Answer: x >-3
Step-by-step explanation: 4x + 2 > 6x + 8
4x - 6x = -2x
6x - 6x = 0
-2x + 2 >8
8 -2 = 6
2-2 = 0
-2x > 6
-2x/-2x = 0
6/-2x = -3
therefore x >-3
h(t)=−(t−7)²+4
Write the smaller t first, and the larger t second.
smaller t=?
larger t=?
2) What is the vertex of the parabola?
(?,?)
Answers
Answer:
1. smaller value of t = 5
larger value of t = 9
2. (7, 4)
Step-by-step explanation:
Given function: [tex]h(t)=-(t-7)^2+4[/tex]
To find the zeros, set the function to zero and solve for t:
[tex]\begin{aligned}h(t) & =0\\\implies -(t-7)^2+4 & =0\\-(t-7)^2 & =-4\\(t-7)^2 & =4\\t-7 & =\sqrt{4}\\t-7 & =\pm 2\\t & =7\pm 2\\t & = 5,9\end{aligned}[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex] where (h, k) is the vertex
Therefore, the vertex of the given function is (7, 4)
Mason randomly chooses a card from a standard deck or cards What is the probability that it is a face card given that it is a hearts
Answers
Factor 2x^2+x-3
(PLEASE INCLUDE STEP BY STEP)
The unit is "Factoring trinomials by grouping" so please use that method
Answers
Answer:
[tex]2x^2+x-3=(2x+3)(x-1)[/tex]
Step-by-step explanation:
Rewrite the middle term as a sum of two terms so that the coefficients add up to the coefficient of the middle term, and group the entire polynomial into two binomials in which they have the same factor:
[tex]2x^2+x-3\\2x^2-2x+3x-3\\(2x^2-2x)+(3x-3)\\2x(x-1)+3(x-1)\\(2x+3)(x-1)[/tex]
Hope this helps! Let me know if you are still confused.
a regular hexagon has 18 sides calculate the size of each interior
Answers
Answer:
[tex]160[/tex] °
Step-by-step explanation:
An alternative method is to use the exterior angle.
the sum of the exterior angles is ALWAYS 360 °
So you can find the size of the exterior angles of a regular polygon quite easily:
If there are 18 sides ( n = 18 ) , then each exterior angle is:
[tex]\frac{360}{n} =\frac{360}{18} = 20[/tex]°
The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line.
∴ each interior angle is 180° - 20° = 160°
Find the perimeter of the shaded region. Round your answer to the nearest hundredth
Answers
Answer:
38 units
Step-by-step explanation:
13+13=26
6+6=12
26+12=38
Directions: Perform the indicated operation. Write your solution in a separate sheet of paper and change your answer to lowest term if necessary.
Addition
1.)
2.)
3.)
4.)
5.)
Subtraction
1.)
2.)
3.)
4.)
5.)
paki ayos po ng sagot
SALAMAT
Answers
For addition 1.) 28 / 5 2.) 27 / 4 3.) 45 / 8 4.) 4 / 3 5.) 23 / 18
For Subtraction 1.) 27 / 5 2.) 20 / 3 3.) 23 / 6 4.) 6 / 5 5.) 16 / 3
What is addition?The method of summing up the given data is called addition. A method of removing certain data from the given data is called subtraction.
Addition
1.) 28 / 5
2.) 27 / 4
3.) 45 / 8
4.) 4 / 3
5.) 23 / 18
Subtraction
1.) 27 / 5
2.) 20 / 3
3.) 23 / 6
4.) 6 / 5
5.) 16 / 3
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There are three sets. A = {1,2,3}, B = {4,5} and C = {6,7,8}
What is the probability of A∩B∩C
Answers
The three sets are independent sets and the value of the probability of A∩B∩C is: 0
How to determine the probability?The sets are given as:
A = {1,2,3}, B = {4,5} and C = {6,7,8}
The total number of elements in the three sets is:
Total = 8
The number of elements of A∩B∩C is 0, because the sets do not have a common element.
So, the probability of A∩B∩C is:
P = 0/8
Evaluate
P = 0
Hence, the probability of A∩B∩C is: 0
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