Answer:
m<S = [tex]35.3^{o}[/tex]
Step-by-step explanation:
Applying the sine rule to the given question, we have;
[tex]\frac{r}{Sin R}[/tex] = [tex]\frac{s}{Sin S}[/tex]
[tex]\frac{24}{Sin 120}[/tex] = [tex]\frac{16}{Sin S}[/tex]
cross multiply to have,
16 x Sin 120 = 24 x Sin S
16 x 0.8660 = 24 Sin S
13.856 = 24 Sin S
Sin S = [tex]\frac{13.856}{24}[/tex]
= 0.57733
S = [tex]Sin^{-1}[/tex] 0.57733
= 35.2630
Thus, m<S = [tex]35.3^{o}[/tex]
Look at the 2 fractions below. Find a common denominator between the 2 fractions. 3/5 and 2/3
How do you convert fraction to a decimal?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Some people usually convert fractions into decimals by DIVIDING}\\\large\text{the TOP number) by the DENOMINATOR (the BOTTOM number)}.[/tex]
[tex]\large\text{Here is an EXAMPLE of what I meant!}[/tex]
[tex]\large\text{Fraction: }\mathsf{\dfrac{5}{6}}[/tex]
[tex]\large\text{Equation: } \mathsf{5\div6}[/tex]
[tex]\large\text{Answer: } \mathsf{0.833333}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A school ordered $600 worth of light bulbs. Some of the light bulbs cost $1 each and the others cost $2 each. If twice as many $1 bulbs as $2 bulbs were ordered, how many light bulbs of each type were ordered?
Answer:
A school ordered 300 bulbs that cost $1 and 150 bulbs that cost $2.
Step-by-step explanation:
Let [tex]u[/tex] denotes number of light bulbs that cost $1 and [tex]v[/tex] denotes number of light bulbs that cost $2.
Twice as many $1 bulbs as $2 bulbs were ordered.
[tex]u=2v[/tex]
A school ordered $600 worth of light bulbs.
[tex]u(1)+v(2)=600\\u+2v=600[/tex]
Put [tex]u=2v[/tex] in [tex]u+2v=600[/tex]
[tex]2v+2v=600\\4v=600\\\\v=\frac{600}{4}\\\\v=150[/tex]
Put [tex]v=150[/tex] in [tex]u=2v[/tex]
[tex]u=2(150)=300[/tex]
Therefore,
A school ordered 300 bulbs that cost $1 and 150 bulbs that cost $2.
A cone and its dimensions are shown in the diagram. What is the volume of the cone in cubic inches?
Answer:
I think it's this 62.13 in↑3.
I hope it's right!
Use a table to show the sample space of two-digit numbers using the digits 1,4,5,9. Use the column label as the tens digit and the row label as the ones digit to complete the table that represents the sample space of two-digit numbers.
Answer:
19
Step-by-step explanation:
A 20-ft piece of board is cut into two pieces such that the second piece is 2 feet more than twice the first. Piece; find the length of the longer piece of board.
Answer: 14 feet
Step-by-step explanation:
Let the shorter piece of the board be represented by x.
Since the longer piece is 2 feet more than twice the first, this will be:
= (2 × x) + 2
= 2x + 2
We then add both pieces and equate them to 20. This will be:
x + (2x + 2) = 20
x + 2x + 2 = 20
3x + 2 = 20
3x = 20 - 2
3x = 18
x = 18/3
x = 6 feet
Shorter piece = 6 feet
Longer piece = 2x + 2 = 2(6) + 2
= 12 feet + 2 feet
= 14 feet
The longer piece of board is 14 feet
Someone plz help me giving brainliest
How do I solve for x?
Answer:
2(5x+22) & can't solve for x for the second one
Step-by-step explanation:
Factor 10x+44
10x+44
=2(5x+22)
Answer:
2(5x+22)
Cual es la correcta?
Find the area of this triangle
Answer: 6 cm
Step-by-step explanation:
Let's take the equation for the area of a right triangle
[tex]A=\frac{a*b}{2}\\\\A=\frac{3*4}{2} \\\\A=\frac{12}{2}\\\\A=6cm[/tex]
The formula use to solve percent is WHOLE/PART = PERCENT/100
True or False
The triangle above is a right triangle with side lengths a = 7 in, b = 24 in, and c= 25 in.
Which statement is true?
The sum of the squares of the two smaller sides is equal to the square of the third side.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right angle triangle, equilateral triangle, and much more.
Given,
Δabc is a right-angle triangle
By Pythagoras theorem
Hyp² = perp² + base²
Here
Hyp = c (longer side)
Pepe and base = a and b
So,
c² = a² + b²
(Longer side)² = a² + b²
Hence, The sum of the squares of the two smaller sides is equal to the square of the third side.
For more about triangles,
https://brainly.com/question/2773823
#SPJ2
The sum of the squares of the two smaller sides is equal to the squares of the third side.
Option B is the correct answer.
Given,
The triangle above is a right triangle with side lengths a = 7 in, b = 24 in, and c = 25 in.
We need to see which option is true.
What is the Pythagorean theorem?It states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
The triangle above is a right triangle with side lengths:
a = 7 in
b = 24 in
c = 25 in
Here c = hypotenuse.
So applying the Pythagorean theorem.
c^2 = a^2 + b^2
25^2 = 7^2 + 24^2
625 = 49 + 576
625 = 625
We see that the given values satisfy the Pythagorean theorem.
Thus the sum of the squares of the two smaller sides is equal to the squares of the third side.
Option B is the correct answer.
Learn more about the right-angled triangle here:
https://brainly.com/question/21334670
#SPJ2
Eileen picks up 5 movies at a movie store and calculates that it will cost her $32.50 before tax. A customer in front of Eileen pays $81.90 after tax. Sales tax is 5%. How many movies did the customer in front of Eileen buy?
Answer:
$34.125
Step-by-step explanation:
5% of 32.50 is 1.625
1.625+32.50=34.125
$34.125
Answer:
15 movies
Step-by-step explanation:
32.50/5 = 6.50 = price of one movieFind 5% of 81.90 = 4.09581.95 - 4.095 = 77.85577.855/5 = 15.571Abby has 12 quarters in her piggy bank. Estimate how many cents she has by rounding the number of quarters to the nearest ten.
honestly i was a little confused with the way this question was worded so please tell me if i did something wrong or if i didn't explain/understand this right!
answer:
3 dollars or 300 cents
step-by-step explanation:
well we know that 4 quarters equal one whole dollar so what i did was divide 12 by 4 to get 3 whole dollars
12/4
= 3 dollars
and we know that 100 pennies equal one whole dollars, all you need to do was multiply 3 dollars by 100 pennies
3 * 100
= 300 pennies
showing you that abby has 300 cents in her piggy bank
hope this help and if you need anymore then just ask me!
The area of a rectangular room is 238 square feet. The width is 3 feet less than the length. Find the dimensions of the room.
Answer:
Step-by-step explanation:
L= length
w= width= L-3
A= area= 238 ft^2
LENGTH
Area Formula
A= LW
substitute w value
238= (L)(L- 3)
multiply L by parentheses
238= L^2 - 3L
subtract 238 from both sides
0= L^2 - 3L - 238
factor
0= (L + 14)(L - 17)
set each parentheses equal to 0
0= L + 14
-14= L
OR
0= L - 17
17 ft= L
*Since the measure of a rectangle would not be negative, L= 17 ft
WIDTH
w= L - 3
w= 17 - 3
w= 14 ft
ANSWER: Length= 17 ft; Width= 14 ft
Answer:
Length= 17 ft; Width= 14 ft
Step-by-step explanation:
L= length
w= width= L-3
A= area= 238 ft^2
LENGTH
Area Formula
A= LW
substitute w value
238= (L)(L- 3)
multiply L by parentheses
238= L^2 - 3L
subtract 238 from both sides
0= L^2 - 3L - 238
factor
0= (L + 14)(L - 17)
set each parentheses equal to 0
0= L + 14
-14= L
OR
0= L - 17
17 ft= L
*Since the measure of a rectangle would not be negative, L= 17 ft
WIDTH
w= L - 3
w= 17 - 3
w= 14 ft
ANSWER: Length= 17 ft; Width= 14 ft
help ASAP please!!! ill mark brainliest if correct!
Answer:
A. 37, 38, 39, 41, 43, 47, 52, 54
Step-by-step explanation:
A triangle has two sides that are 6in and 13in. What could the length of the third side of the triangle be?
Answer:
Third side is 14.
Step-by-step explanation:
a^2+b^2=c^2
6^2+13^2=c^2
36+169=c^2
205=c^2
square root of 205=14.3
c=14
How do you solve this question that proteins to 30-60-90 triangles
Answer:
Step-by-step explanation:
x=17√3
y= 34√2
z= 34
What is the answer to (3−8y)⋅(−2.5)
Answer:7.5+20y
Step-by-step explanation:
You put 100 candies on a round plate that has a diameter of 9 inches. What is the approximate density of the candies?
Question 33 options:
A. 11.1 candies per square inch
B. 0.39 candies per square inch
C. 1.6 candies per square inch
D. 0.09 candies per square inch
What is the common difference in the following arithmetic sequence?
A) -11
B) -1
C) 1
D) 11
24/ x +6 = 27/ 2x -2
Answer:
x1=-1.06956, x2=1.66215
Step-by-step explanation:
please answer this...
Answer:
fortnite battle royal
Step-by-step explanation:
Answer:
2.2
Step-by-step explanation:
Using the Pythagorean theorem to draw a triangle between a and b, the distance comes up to root 5, which when calculated rounds to 2.2.
S а о -3 S - 14 2 -S # -3 -2 1+ A + Lovezujo edos e seu molaguude 16 avuq UUDIUM
Answer:
Line Q is the line with the slope of 0.
Step-by-step explanation:
It does not increase or decrease.
The graph of hix) = |x-10| +6 is shown. On which
interval is this graph increasing?
Answer:
3rd answer
Step-by-step explanation:
its the 3rd answer trust me on it
What 2 numbers multiply to make -30 and add to make -1
Answer:
-6 and 5
Step-by-step explanation:
-6 x 5 = -30
-6 + 5 = -1
6(3c-4)-2(5c-1) PLZZZZ show work
Answer:
‐1c -22
Step-by-step explanation:
6(3c-4)-2(5c-1)
(6×3c +6 ×-4) (-2 ×5c -2 × -1) you dont need to do all of that
9c -24 -10c +2
help me I'm under the water (っ◔◡◔)っ ❤
Answer:
D I think
Step-by-step explanation:
A reflection y line
kelsey goes cliff diving into the ocean. Her height as a function of time can be modeled by the function h(t)=-16t^2+480, where t is the time in seconds and h is the height in feet. How long does it take for Kelsey to reach the water?
Answer:
to differential calculus, because I don't know how to answer this question without
using it.
We're told that Jason's height above the water is H(t) = -16t² + 16t + 480 .
We can observe many things from this equation:
-- Up is the positive direction; down is the negative direction.
-- The acceleration of gravity is 32 ft/sec² .
-- Jason jumps upward from the cliff, at 16 ft/sec .
-- The cliff is 480-ft above the water.
(This tells us why the question is only concerned with his maximum height,
and then it ends ... 480-ft is one serious cliff, and what happens after the
peak of his arc is too gruesome to contemplate.)
In any case, his vertical velocity is the first derivative, with respect to time,
of his height above the water.
V = -32 t + 16
At the peak of his arc, where gravity takes over, his velocity changes from
upward to downward, and it's momentarily zero.
0 = -32t + 16
Add 32t to each side: 32t = 16
Divide each side by 32: t = 1/2 second
His height at that instant is H(0.5) = -16(0.5)² + 16(0.5) + 480 =
4-ft above the cliff, 484-ft above the water,
and then he begins falling from that altitude.
The duration of his dive is 484 = 16 t²
t = √(484/16) = 5.5 seconds
and he hits the water at V = a t = (32) x (5.5) = 176 ft/sec = exactly 120 mph
Step-by-step explanation:
THERE IS A PICTURE! I KNOW YOU CAN SEE IT.....
A line connects points A and B as shown below. If a third point, C, is plotted six units to the right of point B, what will be the area of the resulting right triangle?
48 square units
24 square units
30 square units
18 square units
Answer:
24 square units
Step-by-step explanation:
:)