Answer:
9°
Step-by-step explanation:
m / sin L M = o / sin L O
41/sin L M = 98/sin 22°
=> sin L M = 41×sin 22°/98
= 41×0,3746 / 98
= 0,1567
so, L M = sin~¹ 0,1567 = 9°
A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2.75 m/s. In that location, the distance directly across the river is 45.0 m and the current velocity is 2.5 m/s.
a) How much time does the otter take to get to the other side, if it points directly across the river?
Answer:
time=16.3 sec
Step-by-step explanation:
let time taken be x
speed=distance/time taken
2.75=45/x
2.75x=45
x=45/2.75
x=16.36
x=16.3 seconds
The time taken is 16.3 seconds.
What is speed?Speed = Distance/Time
This informs us how slowly or quickly an object moves. It defines the distance traveled divided by the time brought to cover the distance. Speed stands directly proportional to distance and inversely proportional to Time.
Let x be the time taken
speed = distance/time taken
2.75 = 45/x
2.75x = 45
x = 45/2.75
x = 16.36
x = 16.3 seconds
Therefore, the time taken is 16.3 seconds.
To learn more about speed
https://brainly.com/question/21904438
#SPJ2
(18)Calculate the volume of this shape
Answer:
108 cm cubed
Step-by-step explanation:
(1/2 of length•height)•width
(1/2 of 6•4)•9
(1/2 of 24) •9
12•9
108
Add the following complex numbers:
(4-2i) + (12 + 7i)
O A. -8 + 9i
O B. 16 + 9i
O C. 16 + 5i
O D. -8 + 5i
Answer:
option c
Step-by-step explanation:
(4 - 2i) + (12 + 7i)
multiply the brackets first
4 - 2i + 12 + 7i
combine like terms
16 + 5i
Answer:
O C. 16+5i
Step-by-step explanation:
=(4+12) + (7i-2i)
=16+5i
Write an algorithm to find sum of first ten even numbers?
plz do it ... if you do i will mark brainliest
Answer:
n(n+1)
This is the answer I know
Solve for x in this equation.
7^3x-17 = 49^x
Answer:
X = 17
Step-by-step explanation:
If you created equivalent expressions with equal bases that should be the answer.
The measures of the angles of a triangle are shown in the figure below. Solve X.
Answer:
x = 106º
Step-by-step explanation:
There are 180º in every triangle
x = 180 - 32 - 42
x = 106º
Answer:
x= 106 degree
Step-by-step explanation:
x + 42 + 32=180 degree (sum of interior angles of a triagle is 180 degree)
x + 74 = 180
x = 180 - 74
x = 106 degree
please help !!! 5 minutes !!!
Answer:
Step-by-step explanation:
2 is the correct answer
Answer:
4
Step-by-step explanation:
The answer is the LCM of all the denominators (Least Common Multiple)
All the denominators: 4, 2, 4
The LCM of this set of denominators is 4.
The answer is 4.
Check: [tex]-\frac{3}{4} m-\frac{1}{2} =2+\frac{1}{4} m[/tex]
[tex]-\frac{3}{4} m(4)-\frac{1}{2}(4) =2(4)+\frac{1}{4} m(4)==-3m-2=8+m[/tex]
¿Numeros entre 0,1 y 0,5?
Answer:
0.2
0.3
0.4
Step-by-step explanation:
The length of the triangle for the pool table is the twice the sum of 5 and a number. If the rack is equilateral, what is the perimeter, in inches, of the triangle?
Answer:
30 + 6x inches
Step-by-step explanation:
Let the required number be x
If the length of the triangle for the pool table is twice the sum of 5 and a number
L = 2(5+x)
L = 10+2x
Since the triangle is quadrilateral, this means that all sides are equal
Perimeter = 3L
Perimeter = 3(10+2x)
Perimeter = 30+6x
Hence the perimeter, in inches, of the triangle is 30 + 6x inches
Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
The question's attached in the file; I tried solving it in 4 different ways and ended up confusing myself more and more each time.
(x+3)² = (16+x-3) (x-3)
x²+6x+9=(x+13)(x-3)
x²+6x+9=x²+10x-39
6x-10x=-39-9
-4x=-48
x = 12
=> NM = 12+3 = 15
8(2x - 9) = 4(5 + 4x) solve for x
Answer:
No solutions
Step-by-step explanation:
8(2x - 9) = 4(5 + 4x)
Distribute the 8
16x - 72 = 4(5 + 4x)
Distribute the 4.
16x - 72 = 20 + 16x
Add 72 to both sides
16x = 92 + 16x
Subtract 16x from both sides
0 = 92
0 does not equal 92 therefore there are no solutions
Answer:
No solution
Step-by-step explanation:
8(2x - 9) = 4(5 + 4x)
Simplify
8(2x−9).
Start simplifying.
0+0+8(2x−9)=4(5+4x)
Simplify by adding zeros.
8(2x−9)=4(5+4x)
Apply the distributive property.
8(2x)+8(−9)=4(5+4x)
Multiply 2 by 8.
16x+8(−9)=4(5+4x)
Multiply 8 by −9.
16x−72=4(5+4x)
Simplify
4(5+4x).
Apply the distributive property.
16x−72=4×5+4(4x)
Multiply 4 by 5.
16x−72=20+4(4x)
Multiply 4 by 4.
16x−72=20+16x
Move all terms containing x to the left side of the equation.
Subtract 16x from both sides of the equation.
16x−72−16x=20
Combine the opposite terms in
16x−72−16x.
Subtract 16x from 16x.
0−72=20
Subtract 72 from 0.
−72=20
Since −72 ≠ 20, there are no solutions.
Hope it is helpful...As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes \dfrac23 3 2 start fraction, 2, divided by, 3, end fraction of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup?
Answer:
Volume of water remaining in Abigail's cup = 25.12 cm³
Step-by-step explanation:
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions radius 3 cm and height 8 cm. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup? Use 3.14 for Pi
Volume of a cone cup = πr²h/3
Radius, r = 3 cm
Height, h = 8 cm
Pi, π = 3.14
Volume of a cone cup = πr²h/3
= (3.14 * 3² * 8) / 3
= (3.14 * 9 * 8) / 3
= 226.08 / 3
= 75.36 cm³
Abigail sloshes 2/3 of the water out of her cup.
What is the volume of water remaining in Abigail's cup
Volume of water Abigail slosh = 2/3 of 75.36 cm³
= 2/3 * 75.36
= 150.72 / 3
= 50.24 cm³
Volume of water remaining in Abigail's cup = Volume of water in the cup - Volume of water Abigail slosh
= 75.36 cm³ - 50.24 cm³
= 25.12 cm³
Volume of water remaining in Abigail's cup = 25.12 cm³
Answer:
25.12
Step-by-step explanation:
I checked in khan
Which equation represents a proportional relationship that has a constant of proportionality equal to 2?
y = x + 2
y = x/2
y = 2 x
y = 2
pls hurry
In Hackensack High School, the ratio of students to teachers is 9 to 2. If there
are 90 teachers at the High School, how many students are there?
I guess the answer is 405.
Because the value of 1 is 45 and 2×45 =90
9×45=405.
Hope it helps you:)
Step-by-step explanation:
students : Teachers
9 : 2
? : 90
students = 9 x 90 ÷ 2
students = 405
what is the relationship between vectors u={1,0} and v={0,-3}?
Answer: Hi, your answer would be
C) The vectors are orthogonal because the angle between them is 90°.
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of (u circle v) (x)?
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
h1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
How many kilograms are equivalent to 5 pounds?
Answer: the answer is 2.25 kg
Step-by-step explanation:
Which letter in the word HAPPY has an order 2 rotational symmetry?
H
A
P
Y
Answer:Option 1) H
Step-by-step explanation:
Answer:
its H
Step-by-step explanation:
EDG 2021
I NEED THIS ANSWER PLEASE LAST QUESTION FOR EXAM PLEASE SHOW WORK
Answer:
x = 8
Step-by-step explanation:
b². b⁵ = b¹⁵/ bˣ
b²⁺⁵ = b¹⁵⁻ˣ
2 + 5 = 15 - x
7 = 15 - x
x = 15 - 7
x= 8
write the set builder form of
{1, 1/4, 1/9, 1/16, 1/25}
I need help with first question ??
Answer:
Slope = 3
Step-by-step explanation:
Slope formula
(y2 - y1) / ( x2 - x1)
Where the x and y values are derived from the coordinates
Choose any two given ordered pairs and plug them into the formula
The points chosen may vary but the points I chose were (1,3) and (2,6)
( Note that ordered pairs are written as (x,y))
Next we want to define the variables
x1 = 1
x2 = 2
y1 = 3
y2 = 6
Finally we plug in the values into the slope formula
(6-3) / (2-1)
Subtract top values
3/(2-1)
Subtract bottom values
3/1
Simplify
slope = 3
[tex](5^{3})^{-3}[/tex] pls
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]
Note:-
[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]
[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Which equation represents a relationship where y is a nonlinear function
of x?
O x = -6y
O y = IxI- 3
O 3x + 4y = 8
O 4x - 3y + 2 = 8x-5y+12929
Step-by-step explanation:
if you use the online graphing calculator it will help you
these two questions plzz help mee
If it takes star 1/2 a can of sauce to cover 3/4 of a pizza,compute the unit rate in terms of cans of sauce per pizza
x=3, and y=-4: -5(x-2) + 3y
Answer:
-17
Step-by-step explanation:
Substitute 3 for x and -4 for y
-5(x-2) + 3y
-5 ( 3 - 2 ) + 3 * -4
-5 * 1 + 3 * -4
-5 - 12
-17
tan145+tan85/1-tan145*tan85 as asingle funciton
Answer:
Step-by-step explanation:
Tan 145 = - 0.7002
Tan 85 = 11.43
Tan 145 + tan 85 = 10.7298
1 - tan(145)* tan(85) = 9.003
(Tan(145) + Tan(85)) / (9.003)
= 10.73 / 9.003
= 1.1918
I misread the question. If you mean
(Tan145+tan85) /1-tan145*tan85 (brackets are really important here)
then the answer is
Tan(145 + 85)
= Tan(230)
= 1.1918
which of the following functions best describes this graph
Answer:
D
Step-by-step explanation:
when x=2,6 then y=0
when y=12 then x=0
only applies for D
what is the slope of the line that passes through (2,0) and (1,0)??
Answer:
The slope would be 0
Step-by-step explanation:
used a graphing calculator
hope this helps