Answer:
Sin F = 0.6
Step-by-step explanation:
From triangle ABC, applying Pythagoras theorem to determine the length AB;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/AC/^{2}[/tex] = [tex]/BC/^{2}[/tex] + [tex]/AB/^{2}[/tex]
[tex]/20/^{2}[/tex] = [tex]/16/^{2}[/tex] + [tex]/AB/^{2}[/tex]
400 = 256 + [tex]/AB/^{2}[/tex]
[tex]/AB/^{2}[/tex] = 400 - 256
= 144
AB = [tex]\sqrt{144}[/tex]
= 12
AB = 12, AC = 20, BC = 16
Therefore since ΔABC ≅ ΔDEF, and each side of triangle DEF is [tex]\frac{1}{3}[/tex] the length of the corresponding side of triangle ABC.
Then,
DE = [tex]\frac{1}{3}[/tex]AB = [tex]\frac{1}{3}[/tex] x 12
= 4
EF = [tex]\frac{1}{3}[/tex]BC = [tex]\frac{1}{3}[/tex] x 16
= [tex]\frac{16}{3}[/tex]
DF = [tex]\frac{1}{3}[/tex]AC = [tex]\frac{1}{3}[/tex] x 20
= [tex]\frac{20}{3}[/tex]
Then, applying trigonometric function to ΔDEF, we have;
Sin F = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{DE}{DF}[/tex]
= 4 ÷ [tex]\frac{20}{3}[/tex]
= 4 x [tex]\frac{3}{20}[/tex]
= [tex]\frac{3}{5}[/tex]
Sin F = 0.6
-0.1 , l 9/8 l , 10 , 5/6 , -0.02 least to greatest
Answer:
-0.02, -0.1, 19/81 ,5/6 ,10
Step-by-step explanation:
PLEASE HELP ME!!! ON THE FIRST QUESTION!
Answer:
9ber
Step-by-step explanation:
Aight will do
MOON The expression gives the weight of an object on the Moon in pounds with a weight of w pounds on Earth. What is the weight of a space suit on the Moon if the space suit weighs 178.2 pounds on Earth?
Answer: 29.7 pounds
Step-by-step explanation:
The expression in question is w/6.
If the weight of an object on earth is w, the weight of the object on the moon is w/2.
The weight of the space suit is therefore:
= 178.2/6
= 29.7 pounds
rickroll me
or im gonna give u up
Answer:
Rickroll
Step-by-step explanation:
Answer:
Step-by-step explanation:
im kakyoin
jojo greatest
PLEASE HELP ME WITH THIS
Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!
Answer:
408
3 percent of 300 is 9.
So it is $9 every month times 12 months
is equal to 108 so add the 300 on top of the 108 = 408
Step-by-step explanation:
what is 3/7 divided by 33?
Answer:
3/231 can be simplified to 1/77.
Step-by-step explanation:
*PLEASE HELP* I NEED TO FINISH THIS IN 30 MINUTES (I’ll give brainlist)
Answer:
A
Step-by-step explanation:
Answer:
C i think it's C but im not really sure
Evaluate the expression 43+ (7 - 3) x 2.
Answer:
51
Step-by-step explanation:
Answer: 51
Step-by-step explanation:
Use PEMDAS. First solve inside the parentheses. You will get 43 + (4) x 2. Then, do the multiplication (4x2). You will have 43+8. And that can be simplified to 51. Hope this helps!
write an equation of the line passing through the point (3,2) and is parallel to the line y=\frac{1}{3}x-3
need answer ASAP
Answer:
Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:
[tex]y = \frac{1}{3}x+1[/tex]
Step-by-step explanation:
Given equation of line is:
[tex]y = \frac{1}{3}x-3[/tex]
Slope-intercept form of a line is given by:
[tex]y = mx+b[/tex]
Comparing the given equation of line with general form we get
m = 1/3
Let m1 be the slope of line parallel to given line
Then the equation of line will be:
[tex]y = m_1x+b[/tex]
We know, "Slopes of two parallel lines are equal"
Which means
[tex]m_1 = m\\m_1 = \frac{1}{3}[/tex]
Putting the value of slope
[tex]y = \frac{1}{3}x+b[/tex]
Putting the point (3,2) in the equation
[tex]2 = \frac{1}{3}(3)+b\\2 = 1+b\\b = 2-1\\b = 1[/tex]
Final equation of line is:
[tex]y = \frac{1}{3}x+1[/tex]
Hence,
Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:
[tex]y = \frac{1}{3}x+1[/tex]
Which property is illustrated? 8(a + c) – 8a+ 8c
Answer:
commutative property
Step-by-step explanation:
for brainly and points
Answer:
C
Step-by-step explanation:
Given
[tex]\frac{2}{3}[/tex] m + 5 = 17 ( subtract 5 from both sides )
[tex]\frac{2}{3}[/tex] m = 12 ( multiply both sides by 3 to clear the fraction )
2m = 36 ( divide both sides by 2 )
m = 18 → C
Answer:
C
Step-by-step explanation:
2/3X18=6+5=11
Right answer only pleaseeee
Answer:
A,C,E
Step-by-step explanation:
Answer:
B. n ≥ -24.
D. The circle is closed.
E. The arrow points right.
Step-by-step explanation:
Step 1: Multiply both sides by -3/2, the reciprocal of -2/3. Since -2/3 is negative, the inequality direction changes.
(-2/3 * -3/2)n ≤ 16(-3/2)
n ≥ 16(-3/2)
Step 2: Express 16(-3/2) as a single fraction.
n ≥ 16(-3)/2
Step 3: Multiply 16 by -3 to get -48.
n ≥ -48/2
Final Step: Divide -48 by 2 to get -24.
n ≥ -24 is the final answer.
With inequalities that have this (≥), the circle should be closed (D) and the arrow goes right (E).
simplify 3 to the 2nd power + 1 x 2
Answer: The answer is 20
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]Equation:[/tex]
[tex]\rm{3^2 + 1\times 2}[/tex]
[tex]Simplifying:[/tex]
[tex]\rm{3^2 + 1\times 2}[/tex]
[tex]\rm{= 3\times 3+ 1\times 2}[/tex]
[tex]\rm{= 9 + 1\times2}[/tex]
[tex]\rm{= 9 + 2}[/tex]
[tex]\rm{= 11}[/tex]
[tex]Therefore, your\ answer\ should\ be:[/tex]
[tex]\huge\boxed{\frak{11}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
x+3=10 show your work
Answer: 7
Explanation:
x+3=10
10-3=x
7=x
what is the range of the function y=3x-2 if the domain is {0,1,2}
Answer: 2
Step-by-step explanation:
Maggie saves money in a jar over a period of 5 weeks, as shown in the table.
A. S = 1.50w + 2.50
B. S = 2.50w + 1.50
C. S = w - 0.50
D. S = w +2.50
DETERMINE THE MISSING SIDE
Answer:
21 in
Step-by-step explanation:
by the Pythagorean theorem we have
[tex]841=400+x^2\\\\x^2=441\\\\x=21[/tex]
notice that the 841 and the 400 don't go squared because they already squared!
which is parallel to the line y=-4/5x + 6?
Answer:
Rewrite in slope-intercept form.
Tap for more steps...
y=−4/5x+6
Using the slope-intercept form, the slope is −4/5 .
m=−4/5
All lines that are parallel to y=−4/5x+6
have the same slope of −4/5.
mparallel=−4/5
Step-by-step explanation:
The line parallel to the x- axis which is given equation is [tex]y=-\frac{4}{5}+6[/tex]
Parallel lines:Parallel lines are lines that have the same slope. They are lines that do not meet at any given point and the distance between the two points is constant. For example, if we have a line [tex]y=m_1x+c_1[/tex] which is parallel to the line [tex]y=m_2x+c_2[/tex] then: [tex]m_1=m_2[/tex] and we can rewrite the equation of the second line as :[tex]y=m_1x+c_2.[/tex]
We have the equation is:
[tex]y=-\frac{4}{5}+6[/tex]
Now, The equation is in the form of y = mx + c
Hence, The value of slope - intercept form is : m = -4/5
We have to plot the line in the graph :
[tex]y=-\frac{4}{5}+6[/tex]
Learn more about Parallel line at:
https://brainly.com/question/34422955
#SPJ2
Let u=-4i-5j and v=3i-6j
can some one help me. btw the answer is not C.
Answer:
A
Step-by-step explanation:
Given
x² + 6x
To complete the square
add ( half the coefficient of the x- term )² to x² + 6x
x² + 6x + (3)²
= x² + 6x + 9
= (x + 3)²
which is an equation of the line through (-1 -4) and parallel to the line 3x+y=5
Answer:
y=-3x-7
Step-by-step explanation:
y=-3x+5
-3 stays the same
y=-3x+c
input values
-4=3+c
c=-7
y=-3x-7
I need help with a math question
An airline reports that 94% of its flights arrive on time. What is the probability that a flight will be on time?
A. 16%
B. 47%
C. 6%
Answer:
[tex]P(flight \: will \: be \: on \: time) = 94\% \\ = \frac{94}{100} \\ 0.94[/tex]
(94-100)%= 6%
6% is the probability of a flight not arriving on time.
Answer:
Option C
Step-by-step explanation:
what is the volume of a cylinder with a a radius of 9 inches and a hirght of 2 inches? use 3.24 for pie. round your answer to the nearest hundredth
Answer:
To answer this u need the formula v=pi r^2h. Since r=9 and h= 2, we could solve the equation by plugging in the variables. v= (3.14)(9)^2(2) is equal to 508.94
select the table that represents a linear function
A.
B.
C.
D.
which one PLEASE HELP
Answer:
The answer is D.
Step-by-step explanation:
Which multiplication and addition problem can help you check your work for 5 ÷ 4 * 1 point 2 x 1 = 2, 2 + 3 = 5 4 x 1 = 4, 4 + 1 = 5 4 x 1 = 4, 4 + 5 = 9 3 x 1 = 3, 3 + 2 = 5
Answer:don't know
Step-by-step explanation:
Which attribute is shared by both squares and trapezoids?
A) 4 sides
B) 4 right angles
C) All sides of equal length
D) 2 sets of parallel sides
if i add negative 2 + negative 9 and then divide 2 what do i get
Answer:
-6.5
Step-by-step explanation:
-2 + -9 =-11 ÷2=-6.5
Answer:
Depends. If you were asking 2+-9/2, according to the rules of PEMDAS it would be -2.5 but by the way you wrote that, I'm assuming you meant (2+-9)/2 which is -3.5.
4 f = 64
Answer:
f=?
Answer ? Mark pls
Answer:
F=16
Step-by-step explanation:
y=-2x+4 Complete the missing value in the solution to the equation. (_, -2) NO work SHOWN JUST GET IT RIGHT QUICK!!!
Answer:
i believe the missing value is (3,-2)
Step-by-step explanation:
plz give me brainlyest