Work Shown:
sin(angle) = opposite/hypotenuse
sin(B) = AC/AB
sin(B) = 2/3
B = arcsin(2/3)
B = 41.8103 approximately
B = 41.81
Note: The arcsine function is the same as the inverse sine function, and that's denoted as [tex]\sin^{-1}[/tex] on many graphing calculators. Your calculator needs to be in degree mode.
Compare the values.
9 x 10^2 is
?
times as much as 3 x 10^-2.
Answer:
Hopefully this explains o_O, also Merry Christmas!
Step-by-step explanation:
9 x 10^2 = 9 x 100 = 900
3 x 10^-2 = 3 x 1/100 = 0.03
Ratio of 900:0.03
The first one is 30000 bigger than the second
Determine whether it is possible to form a triangle
with side lengths 5, 7, and 8.
O yes
no
Answer:
YES
Step-by-step explanation:
which of the equations below would have a line that passes through both (1,7) and (0,-9)
Answer:
Step-by-step explanation:
(-9-7)/(0-1)= -16/-1= 16
y - 7 = 16(x - 1)
y - 7 = 16x - 16
y = 16x - 9
Write the inequality represented by the graph below
Answer:
y≥3x-1
Step-by-step explanation:
i did the thing
and y≥the mx+b
m=slope
b=y intercept
the symbol determines which way the shaded part faces
pls mark brainliest
Answer:
the guy up there is correct
Step-by-step explanation:
i tried the answer and it was correct
What is the approximate value of x?
Answer:
25
Step-by-step explanation:
Answer: The answer is 25.
Have a great Day/Night!
In ΔSTU, u = 280 inches, ∠T=63° and ∠U=29°. Find the length of t, to the nearest 10th of an inch.
Answer:
t = 514.6in.
Step-by-step explanation:
280/sin(29°) = t/sin(63°)
t = 280*sin(63°)/sin(29°)
t = 514.6 in. (to the nearest 10th of an inch)
On Monday, 412 students went on a trip to the zoo. All 8 buses were filled and 4
students had to travel in cars. How many students were in each bus?
Let s = number of students on each bus?
Answer:
51
Step-by-step explanation:
Let x be the number of people in a bus. Since we have the total and the people in the car in addition to the number of busses, we can write an equation like this:
total students = (number of people in a bus) * (number of busses) + leftovers
Our equation we come up with is:
412 = s * 8 + 4
Solve
s*8=408
s=51
If y varies directly as x, find y:
{(8, -12). (20, y)}
[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]
[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]
[tex]\\ \sf\longmapsto 8y=-240[/tex]
[tex]\\ \sf\longmapsto y=-240/8[/tex]
[tex]\\ \sf\longmapsto y=-60[/tex]
Hedi Earns 3% commission on the jewelry she sells each week last week she sold $730 worth of jewelry how much commission did she make
730*0.03=21.9
She makes $21.90
I need reassurance that my answer is right. Is this a rotation? :')
Answer:
Yes, it is a rotation!
Step-by-step explanation:
You know this because the shape rotated. It did not flip, change size, or remain the same.
I hope this helps!
Please help I don't know how to do this
Answer:
(a) (2x +7), (x -4)
(b) (-7/2, 0), (4, 0)
Step-by-step explanation:
(a)When looking for integer factors of a quadratic of the for ax² +bx +c = 0, it is useful to start by looking for factor pairs whose product is a·c and whose sum is b.
Here, that means you're examining the factors of 2·(-28) = -56, and looking for a pair that have a sum of -1. We can start by examining the ways that -56 can be factored:
-56 = -56(1) = -28(2) = -14(4) = -8(7)
Sums of these factor pairs are -55, -26, -10, -1, so it is the last pair we're interested in.
At this point, you can rewrite the x-term using these factors and then factor the quadratic by pairs.
2x² -8x +7x -28 = 0 . . . . . . . use -x = -8x+7x
(2x² -8x) +(7x -28) = 0 . . . . group into pairs of terms
2x(x -4) +7(x -4) = 0 . . . . . . factor each pair of terms
(2x +7)(x -4) = 0 . . . . . . . . . the factored equation
The factors of this equation are (2x +7) and (x -4).
__
(b)The x-intercepts are the values of x that make the factors zero.
2x +7 = 0 . . . looking for x that makes the first factor zero
2x = -7 . . . . . subtract 7
x = -7/2 . . . . divide by the coefficient of x
__
x -4 = 0 . . . . looking for x that makes the second factor zero
x = 4 . . . . . . add 4
The x-intercepts are x = -7/2 and x = 4.
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{QUESTIONS:}[/tex]
3. Given this quadratic equation, 2x²-x-28= 0.
(a) List the factors of this equation.
(b) Determine the x-intercepts
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{ANSWER:}[/tex]
(a) (x-4) and (2x+7)
(b) x=4 and x=-7/2
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{SOLUTION:}[/tex]
2x²-x-28=02x²+7x-8x-28=02x²-8x+7-28=02x(x-4)+7(x-4)=0(x-4)(2x+7)=0x-4= 0 or 2x+7=0x=4 or 2x=-7x=4 or x= -7/2[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
#CarryOnlearning
Solve for x. −4.5(x+3.21)= −33.21 HELP PLZ
Answer:
4.17
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
2/5% as a fraction
Pld
Hey there!
2/5%
= 2/5
= 2 ÷ 5
= 0.40
= 0.40 × 100
= 40%
Therefore, your answer is: 40%
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Eva earns $5.50 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 47 hours?
Answer:
$277.75
5.50×40=220
5.50÷2=2.75
5.50+2.75=8.25×7=57.75
57.75+220=277.75
Someone help me out pls
Help please.. DuE Today. No LiNkS!!
Thanks! 8th Grade Mathh
Answer: A
Step-by-step explanation:
Answer:
Step-by-step explanation:
As x goes up, so does y. That immediately makes B incorrect.
The others (C and D) are incorrect because they points are not plotted correctly.
That leaves you with A.
Cube A has a volume of 9 in3. Cube B has a volume of 5 in3. Which of the following expresses the ratio of the side length of Cube A to the side length of Cube B?
(A) 3 : 5 ^1/3
(B) 5^1/3 : 3^1/3
(C) 3^1/3 : 5^2/3
(D) 3^1/3 : 5^1/3
(E) 3^2/3 : 5^1/3
Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:
[tex]r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}[/tex]
Which means that option E is correct.
The volume of a cube of side length l is given by:
[tex]V = l^3[/tex]
For Cube A, the volume is of 9 cubic inches, hence:
[tex]l_a^3 = 9[/tex]
[tex]l_a = \sqrt[3]{9}[/tex]
[tex]l_a = 9^{\frac{1}{3}}[/tex]
[tex]l_a = 3^{\frac{2}{3}}[/tex]
For Cube B, the volume is of 5 cubic inches, hence:
[tex]l_b^3 = 5[/tex]
[tex]l_b = \sqrt[3]{5}[/tex]
[tex]l_b = 5^{\frac{1}{3}}[/tex]
Then, the ratio is:
[tex]r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}[/tex]
To learn more about the volume of a cube, you can take a look at https://brainly.com/question/13030328
The quotient of 45% -31. - 15) and a polynomial is (-3). What is the pokyrıcaiak
A
Ox5% -6% -30% * 944 45
0-5
O % 45
O % * 5% 46% - 30% * 944 45
Answer:
A
Step-by-step explanation:
Write equations for the horizontal and vertical lines passing through the point (4-1)
Answer:
y = - 1 , x = 4
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (4, - 1 ) with y- coordinate - 1 , then
y = - 1 ← equation of horizontal line
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 1 ) with x- coordinate 4 , then
x = 4 ← equation of vertical line
solve the system of equations please help
A *bank* is a regular quadrilateral with four equal sides and four equal angles.
HELP PLEASE QUICK
Answer:
square
Step-by-step explanation:
question: A _____ is a regular quadrilateral with four equal sides and four equal angles.
first we have that it is a regular quadrilateral.
regular shapes are shapes that have equal side lengths, and equal interior angle measures.
a quadrilateral means it has 4 sides
if there are 4 sides, and all the angles are equal then each angle will be 90 degrees/ a right angle.
therefore you get a shape with:
4 congruent (equal) sides
4 right angles
this describes a square!
How i can usea the distribute property on this equation?
Answer:
9(3-2r)
Step-by-step explanation:
27-18r the greatest common factor between 27 and 18 is 9. therefore, we can factor 9 out.
9(3-2r)
Hope this helps.
Answer:
9(3-2r)
Step-by-step explanation:
Which describes how triangle D was transformed to result in similar triangle D'?
A. Dilation
B. Rotation
C. Reflection
D. Translation
Answer:
C. Reflection
Step-by-step explanation:
Hope it helps!
What is the LCD of 11/6 and 5/9
In four games the basketball team scored 47, 52, 63, and 66 points. What is the mean of these scores? What is the range of these scores?
Answer:
mean=57
range=19
Step-by-step explanation: there you go
Which condition in the figure below will
prove l || m?
Step-by-step explanation:
option C is correct
hope this answer helps you! take care
Answer:
0ption C is correct hope it correct have good day
Step-by-step explanation:
numbers that equal to 39
Answer:
1 , 3 , 13 , and 39
Step-by-step explanation:
1 x 39 =39
3 x 13 = 39
13 x 3 = 39
39 x 1 =39
Answer:
Step-by-step explanation:
The product 3*13 equals 39. This is in addition to the identity 1*39 = 39.
Factor each polynomial completely.
b) 5x6 - 25x5 + 30x4
+
Answer:
10x+5
Step-by-step explanation:
You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.
Answer:
5[tex]x^{4}[/tex] (x - 3)(x - 2)
Step-by-step explanation:
5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] ← factor out 5[tex]x^{4}[/tex] from each term
= 5[tex]x^{4}[/tex] (x² - 5x + 6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (- 5)
The factors are - 3 and - 2 , then
x² - 5x + 6 = (x - 3)(x - 2)
Then
5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] = 5[tex]x^{4}[/tex] (x - 3)(x - 2) ← in factored form
work out the value of (3^(12) +3^(5) ) + (3^(2) x 3)
Answer:
the value of (3^(12) +3^(5) ) + (3^(2) x 3)=531711
Hi guys need some help with this one question thanks
Answer:
y=(-1/4)x+(-6)
Step-by-step explanation:
slope is (-1/4) and the y intercept is (-6)
slope intercept form is
y=(-1/4)x+(-6)
Don't put parentheses in answer.