Solved previously.The altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units. What is the area of the triangle, in square units
Answer:
6√3 square units
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...
3(2/√3) = 2√3 . . . . side AB in the attached figure
and
2·3 = 6 . . . . . . . . . . side AC in the attached figure
Then the area of the triangle is ...
A = 1/2bh
A = 1/2(6)(2√3) = 6√3 . . . . square units
5. What are the slope and y-intercept of the graph of y= 30 + 5?
Just a quick math problem that I forgot how to do.
Answer:
16
Step-by-step explanation:
If they are parallel then the 2 angles are congruent, so
8x + 14 = 12x - 50
64 = 4x
16 = x
Answer:
x = 16
Step-by-step explanation:
For the 2 lines to be parallel, then
12x - 50 and 8x + 14 would be corresponding angles and congruent , so
12x - 50 = 8x + 14 ( subtract 8x from both sides )
4x - 50 = 14 ( add 50 to both sides )
4x = 64 ( divide both sides by 4 )
x = 16
Find the exact value of the indicated trigonometric function of θ.
sin θ = [tex]\frac{1}{6}[/tex], sec θ < 0 Find cos θ and tan θ. ____________________
Answer:
cosθ = -√(35/36)
tanθ = -1/√35
Step-by-step explanation:
We know that
sin²θ + cos²θ = 1
(1/6)² + cos²θ = 1
1 - (1/6)² = cos²θ
35/36 = cos²θ
sec θ = 1/ cosθ
1/ secθ = cos θ
Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0
cosθ = -√(35/36)
tanθ = sinθ/cosθ = (1/6)/-√(35/36)
= (1/6) / -(√35/6)
= -1/√35
In which of the following numbers does the digit 2 represent tens? *
2517
342
720
518.2
Answer:
720
Step-by-step explanation:
The digit 2 is the second digit left of the decimal point in the number ...
720
_____
2517 --- 2 is in the thousands place
342 --- 2 is in the ones place
720 --- 2 is in the tens place
518.2 --- 2 is in the tenths place
helppppp meee pleaseeeee !!!!! :(
Answer:
70°
Step-by-step explanation:
the bottom small triangle is isosceles, which means in this case it has 2 35° angles. the third angle y is 180-2*35=110°
x is 180 - y = 180-110 = 70°
0.25(x + 4) - 3 = 28
Answer:
x = 120
Step-by-step explanation:
0.25(x + 4) - 3 = 28
Multiply 0.25 into the parenthesis
0.25x + 1 - 3 = 28
Combine like-terms
0.25x - 2 = 28
Add 2 to both sides
0.25x = 30
Divide both sides by 0.25
x = 120
Somebody please help
Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line.
write the decimal 4.005 as a fraction in the simplest form
Steps to convert decimal into fraction
Write 4.005 as
4.005
-----------
1
Multiply both numerator and denominator by 10 for every number after the decimal point
4.005 × 1000
---------------------
1 × 1000
=
4005
-----------
1000
Reducing the fraction gives
801
--------
200
I think that font up there might not be that understandable, so I got a picture for ya!
3. Solve the equation shown below for x.
6(x - 1) = 42
Answer:
Answer:
x=8
Step-by-step explanation:
open the brackets to be
6x-6=42
then collect like tems
6x=48
x=8
what is x?
3x-5=10
please help and thank you
Answer:
5
Step-by-step explanation:
3x - 5 = 10
3x = 15
x = 5
I hope it helps bye, good luck
Answer:
x=5
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
3x = 10 + 5
Add 10 and 5
3x = 15
Divide each term in 3x = 15 by 3 and simplify.
3x/3 = 15/3
Simplify the left side
Cancel the common factor of 3
x = 15/3
Divide 15 by 3
x = 5
Find the measures of the missing
angles of the right triangles below.
36°
a
b
с
Answer:
a = 54, b = 54, c = 36
Step-by-step explanation:
a + 90 + 36 = 180
a = 180 - 90 - 36
a = 54
b is the same as A
c + b (which is 54) + 90 = 180
c + 54 + 90 = 180
c = 36
Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? f(x) = 12,000(0. 12)x, with a horizontal asymptote of y = 0 f(x) = 12,000(1. 12)x, with a vertical asymptote of x = 0 f(x) = 12,000(0. 88)x, with a horizontal asymptote of y = 0 f(x) = (12,000 0. 88)x, with a vertical asymptote of x = 0.
The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
The given parameters are:
[tex]a = 12000[/tex] --- the initial value of the car
[tex]r = 12\%[/tex] -- the loss per year
The estimation is an illustration of an exponential function.
An exponential function is represented as:
[tex]y = a(1 -r)^x[/tex]
Rewrite as a function
[tex]f(x) = a(1 -r)^x[/tex]
Substitute values for (a) and (r)
[tex]f(x) = 12000(1 -12\%)^x[/tex]
Express 12% as decimal
[tex]f(x) = 12000(1 -0.12)^x[/tex]
Subtract 0.12 from 1
[tex]f(x) = 12000(0.88)^x[/tex]
The graph of f(x) has a horizontal asymptote at x = 0.
Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
Read more about exponential functions at:
https://brainly.com/question/12940982
The mixed number 2Five-sixths is equivalent to a fraction with a denominator of 6.
2Five-sixths = StartFraction question mark over 6 EndFraction
What is the missing numerator in the equivalent fraction?
8
12
17
18
Answer:
what the answer
Step-by-step explanation:
Choose a midsegment of LJK.
A)LO
B)MK
C)OM
D)LN
Answer:
B
Step-by-step explanation:
that's my answer hope it helps ✨
The mid segment can be MK or LO or LN.
What is Mid segment?The line segment that joins the midpoints of two triangle sides is known as a midsegment. Each triangle has three midsegments since a triangle has three sides. A triangle's midsegment is half the length of the third side and runs parallel to the third side of the triangle.
Given:
We know that the Midsegment is generally formed by the mid points of the line.
But, for Mid Segment of LJK we can write
Mid Segment= 1/2 x Triangle Base
= 1/2 x JK (or LK or LJ)
= MK or LO or LN
Hence, the mid segment can be MK or LO or LN.
Learn more about Mid segment here:
https://brainly.com/question/15381486
#SPJ2
Given the word FAMILY, find the number of ways you can arrange with all letters
Answer:
That's impossible to make another word with all those letters used together.
But 5 letter words like filmy and flamy
and 4 letter words like film, flam, amyl, flay, limy, alif, fail, fila, mail, and mali.
And 3 letter words like fly, fay,may, yam, fil, lam, mil, aim, ami, lay, mai, and ail
and 2 letter words like my, am, fa, fi, if, ma, mi, ay, ya, yi, al, la, li, and ai.
It's not impossible
I Hope I Had HELPED You :)
SO there is 39 different ways to make other words with the letters you have given me.
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
The number of ways that can be arranged with all letters is 720.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
FAMILY
The number of ways that can be arranged with all letters.
The number of letters in the word FAMILY.
= 6
The number of ways.
= 6!
= 6 x 5 x 4 x 3 x 2 x 1
= 730 ways.
Thus,
The number of ways that can be arranged with all letters is 720.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
help pleaseeeeeeeeeeeee
Answer:
C
Step-by-step explanation:
if its not the same on both sides its not communitave. hope this helps
Simplify.
4x2+2xx2+x−28x2+4x3x2+10x+8
Answer:
3x+4/2(x-1)
Step-by-step explanation:
Took the test
Mrs. Byrne washed
2
7
of her laundry. Her son washed
1
4
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
Mrs. Byrne washed more
Step-by-step explanation:
The Sea Lions are facing off against The Otters in fantasy football. The Sea Lions scored -12 points this
week The Otters scored -17 points this week
Which one of the following inequalities correctly compares the scores?
Choose 1 answer:
-17> -12
8
B
-12 > -17
Which one of the following descriptions is correct?
Choose 1 answer:
Answer:
the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17
what is 100 over 2 simplifided
Answer:
50
Step-by-step explanation:
There were 36 people in a school play. There were three times as many students in the play as teachers. How many students were in the play? How many teachers?
Answer:108
Step-by-step explanation:
36 times 3, right??
Pythagorean Theorem Question! Please help
Answer:
It is the fourth one.
Step-by-step explanation: You use it to find it to see if it is a right triangle.
In square GEOM, the coordinates of G are (-3, 2) and the coordinates of O are (1, -2). Determine and state the coordinates of vertices E and M.
Answer:
E is (1, 2) and M is (-3,-2),
Step-by-step explanation:
G and O are diagonally opposite points.
E is the image of O in the x axis and M is the image of G in the x axis.
E which is adjacent to M and will have y-coordinate of 2 and x -coordinate 1.
M will have x coordinate same as G which is -3 and y coordinate is -2.
The coordinates of E are (1, 2) and coordinates of M are (-3,-2),
What are Coordinates?The coordinates of a point are referred as (x, y), where x represents the position of the point with reference to the x-axis, and y represents the position of the point with reference to the y-axis.
Here, G and O are diagonally opposite points.
E is the image of O in the x-axis and M is the image of G in the x axis.
E which is adjacent to M and will have y-coordinate of 2 and x -coordinate 1.
M will have x coordinate same as G which is -3 and y coordinate is -2.
Thus, the coordinates of E are (1, 2) and coordinates of M are (-3,-2),
Learn more about Coordinates from:
https://brainly.com/question/15300200
#SPJ2
Please help me first person will get brainliest!!
Answer:
6w-60x+6
Step-by-step explanation:
6(w-10x+1)
6w+6(-10)+6*1
6w-60x+6
Answer: 6(w-10x+1)
6w+6(-10)+6*1
6w-60x+6
Step-by-step explanation: hope it helps you .Thanks .
An athlete trains by swimming 3/5 miles in 1 day.
Which expression shows how many miles he would swim in 7 days?
Answer:
3/5 x 7
Step-by-step explanation:
The athlete swims 3/5 miles per day, and in 7 days, he swims the amount of 3/5 per the swimming session he does, so it will be 3/5x7.
4d-6=-14+5d
i neeed help the last person didn’t even help me
4. Match these equation balancing steps with the description of what was done in each step.
Step 1:
12x−6 =10 6x−3 =5
Step 2:
6x−3 =5 6x =8
Step 3:
6x =8 x =43
Descriptions to match with each step:
A: Add 3 to both sides
B: Multiply both sides by 16
C: Divide both sides by 2
Answer:
step 1 - C.
step 2 - A.
step 3 - B.
One group of carolers goes to every 6th house in a neighborhood, another goes
to every 8th house. At which house will the first meet?
The carolers would meet first at the 24th house.
In order to determine in which house the carolers would meet, the multiple of 6 and 8 have to be determined. They would first meet at the first common multiple of 6 and 8.
A multiple of a number is the product of an integer and that number.
First ten multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60First ten multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, Least common multiple = 24To learn more about multiplies, please check: https://brainly.com/question/10520264
Solve using substitution.
3x + 2y = -13
X – 9y = 15
Answer:
Step-by-step explanation:
x = 7/11, y = -16/11