Answer:
x = 67° (nearest whole degree)
Step-by-step explanation:
Sine Rule
[tex]\sf \dfrac{sin(A)}{a}= \dfrac{sin(B)}{b}= \dfrac{sin(C)}{c}[/tex]
where A, B and C are the angles, and a, b and c are the sides opposite the angles
Given information
From inspection of the triangle:
A = 38°a = 12B = x°b = 18Finding x:
Substitute given values into the formula and solve for x:
[tex]\sf \implies \dfrac{sin(38)}{12}= \dfrac{sin(x)}{18}[/tex]
[tex]\sf \implies 18\cdot\dfrac{sin(38)}{12}= sin(x)[/tex]
[tex]\sf \implies sin(x)=\dfrac32sin(38)[/tex]
[tex]\sf \implies x=sin^{-1}\left(\dfrac32sin(38)\right)[/tex]
[tex]\sf \implies x=67.44208077...[/tex]
Final Solution
x = 67° (nearest whole degree)
Answer:
∠x = 67°
Step-by-step explanation:
From the Law of Sines,
we know that :
sin(A) / a = sin(B) / aHere we have :
a = 12b = 18∠A = 38°∠B = x°On substituting,
sin38° / 12 = sinx° / 18sinx° = 3/2 x sin38°x = 3/2sin38° x sin⁻¹∠x = 67°Each of the two numbers were increased by 10. How did the average of the two numbers change?
Answer:
Average increased by 10
Step-by-step explanation:
Lets take 2 numbers - 10 and 12. The average of these two numbers is 11. By adding 10 to both of these numbers you get 20 and 22. The average of these numbers is 21. The average of the 2 numbers increased by 10
The roof of Sally’s house is a triangular prism. The angle at the top of this roof is a right angle and the measure of one of the interior angles is 45°. What is the measure of the unknown angle?
A. 45°
B. 55°
C. 35°
D. 25°
Answer: A
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees, so the unknown angle is 180-90-45=45 degrees.
Answer:
a
Step-by-step explanation:
What is a formula for the nth term of the given sequence?
16,8, 4...
Answer:
Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide
Step-by-step explanation:
Videos Incorporated charges a membership fee of $4.99 plus $0.99 for each movie you watch. Videos Plus does not charge a membership fee but charges $2.99 per movie. Videos Plus is a better deal than Videos Incorporated. Which inequality represents this situation?
What is the inequality symbol for the situation? Answer Chocies: >, <, =.
Videos Incorporated Expression: Answer choices: 4.99x + 0.99, 4.99 + 0.99x, 4.99 - 0.99x
Videos Plus Expression: Answer Choices: 2.99x, 2.99x + 1, 2.99x - 1.
Which inequality represents this situation?
Videos Incorporated Expression:
-> Starting membership fee of $4.99, and then adding onto the overall cost is $0.99 for every movie watched.
4.99 + 0.99x
Videos Plus Expression:
-> There is no membership fee, but adding to the cost is $2.99 per movie.
2.99x
Which inequality represents this situation?
-> You do not have answer options, so this is a guess.
-> It states that "Videos Plus is a better deal than Videos Incorporated" which means Videos Incorporated costs more than Videos Plus
2.99x < 4.99 + 0.99x
Does anyone know this?
Answer:
9
Step-by-step explanation:
y= mx+b
m is slope
b is y-int
CAN SOMEONE PLEASE HELP ITS DUE TODAY
Answer:
n = 6
Step-by-step explanation:
[tex] \frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \frac{5 {}^{n} \times {5}^{3} }{5 {}^{7} } = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{5 {}^{n + 3} {}^{} }{5 {}^{7} } = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 {}^{n + 3 - 7} = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 {}^{n - 4} = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:{}{n - 4} = {2} [/tex]
[tex]\qquad \sf \dashrightarrow \:n = 2 + 4[/tex]
[tex]\qquad \sf \dashrightarrow \:n = 6[/tex]
Hence, value of n is 6
what is the measurement for x? anwer fastpls
Answer:
137°
Step-by-step explanation:
90+47= 137°
the sum of two interior angles is equally to the further exterior angle.
(03.01 MC)
Which equation justifies why 103 = 3/10
1
-1046-10
O
= 10
= 10
dho
°
(103)
(103)-1olia)
0(101) 105)=0
(103)*=106-)-10
=
= 10
=
Previous Question
Answer:
The choice B
Step-by-step explanation:
[tex]( {10}^{ \frac{1}{3} } )^{3} = {10}^{ \frac{1}{3} \times 3} = {10}^{ \frac{3}{3} } = {10}^{1} = 10[/tex]
Find the surface area of the figure. Round to the nearest tenth if possible.
List the first five natural numbers.
[tex]1, 2, 3, 4, 5 [/tex]
Answer:
The first five natural numbers are 1, 2, 3, 4, and 5.
Step-by-step explanation:
Natural numbers, which include all positive integers from 1 to infinity, are a component of the number system. Natural numbers, which do not include zero or negative numbers, are also known as counting numbers. They are only positive integers, not zero, fractions, decimals, or negative numbers, and they are a component of real numbers. Numbers may be found everywhere around us, used for counting items, representing or transferring money, calculating temperature, telling time, and so on. "Natural numbers" refer to the numbers that are used to count items. When counting items, we may say 5 glasses, 6 books, 1 bottle, and so on. A collection of all whole integers except 0 is referred to as whole numbers. These figures play an important role in our daily actions and communication. Natural numbers are those that can be counted and are a portion of real numbers. Only positive integers, such as 1, 2, 3, 4, 5, 6, etc., are included in the set of natural numbers. Non-negative integers are also known as natural numbers (all positive integers). 23, 56, 78, 999, 100202, and so forth are only a few instances. A collection of elements is referred to as a set (numbers in this context). In mathematics, the set of natural numbers is expressed as 1,2,3,... 1 is the lowest natural number. We know that the smallest element in N is 1 and that we can talk about the next element in terms of 1 and N for any element in N. (which is 1 more than that element). Two is one greater than one, three is one greater than two, and so on. The natural numbers from 1 to 100 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 and 100.
3x-6y=-12
6x+6y=30
What is the value of x and y
Answer:
(2,3) or x=2 and y=3
Step-by-step explanation:
find x...
3x-6y= -12
3x = 6y-12
x = 2y-4
plug x into the other equation
6(2y-4) + 6y = 30
12y-24 +6y = 30
18y = 54
y = 3
Plug y into an equation to find x
3x-6(3) = -12
3x-18= -12
3x=6
x=2
[Answer] y=3 and x=2 or (2,3)
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
The rectangle is 20 by 16 and the scale factor is 0. 25. What are the dimensions of the reduced rectangle?.
The dimensions of the reduced rectangle are 5(length) and 4(width).
The original length of the rectangle= 20
The original width of the rectangle=16
What is a scale factor?It is the factor by which the size or dimension of an object is dilated.
Reduced length/Original length = 0.25
Reduced length = 0.25 * original length
Reduced length = 0.25 * 20
Reduced length = 5
Reduced width/Original width = 0.25
Reduced width = 0.25 * original width
Reduced width = 0.25 * 16
Reduced width = 4
Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).
To get more about dilation visit:
https://brainly.com/question/10253650
does anybody know what this mean? on the red circle?
Answer:
It may be a division sign, if not I have no clue.
Step-by-step explanation:
I guess it is therefore. Not so sure.....
What is the value of x?
Answer:
x = 9 cm
create proportional equation:
[tex]\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}[/tex]
[tex]\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}[/tex]
[tex]\sf 9(3x+36) = 81(3x-20)[/tex]
[tex]\sf 27x+324 = 243x-1620[/tex]
[tex]\sf 27x-243x=-1620-324[/tex]
[tex]\sf -216x=-1944[/tex]
[tex]\sf x = 9[/tex]
Answer:
x = 9Step-by-step explanation:
Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;
72/9 = 56/(3x - 20)8 = 56/(3x - 20)3x - 20 = 56/83x - 20 = 73x = 27x = 9Help me pleaseeeeeee
Answer:
926% and I'm pretty sure the other one is 0.7
Step-by-step explanation: For a you have to remove the decimal. for b you have to remove the %
ABCD is an irregular quadrilateral. The sum of all the interior angles is 360 degrees. What is the measure of angle D?
A. 60°
B. 120°
C. 180°
D. Need more information
please hurry! first CORRECT answer gets brainliest! :)
Answer:
D. Need more informationStep-by-step explanation:
The given information is not sufficient to determine each angle measure since the quadrilateral is irregular.
It would be good to see the picture at least.
Possible options are A or B but we can't confirm without additional detals, option C can't be a correct choice as 180° represents a straight line.
Please help me on this
(Look at the Photo)
The blue dot is at what value on the number line?
Answer:
17
Step-by-step explanation:
✌
A cylinder-shaped container has a radius of 20 centimeters and a height of 100 centimeters.
What is the approximate volume of the cylinder?
Enter your answer in the box. Use 3.14 to approximate pi.
Answer: The volume of the cylinder is 125, 600 cm^3
Step-by-step explanation:
Volume = 3.14 x Radius^2 x Height
Volume = 3.14 x 20^2 x 100
Volume = 3.14 x 400 x 100
Volume = 125,600 cm^3
Geometry shapes I need help asap
Make Sense and Persevere Ben walked from
the restaurant to the bus stop. Then, he took
the bus to the stadium. If he took the shortest
route, how many blocks did Ben travel? Note
that Ben can only travel along the grid lines.
Step-by-step explanation:
for the trip restaurant to the bus stop he had to go 2 blocks down and 3 blocks to the left - in total 5 blocks.
for the trip from the bus stop to the stadium he had to go 3 blocks to the left and then 8 blocks up. in total 11 blocks.
so, the whole trip took 5 + 11 = 16 blocks.
How to find the area of a half of a square?
Answer:
if u make the square half by its midpoint then we can find its area by using the area of rectangle.
if u make the square half from the diagonal we can find its area by using area of triangle.
Specific gravity will tell you a fraction of how much
object will be below the water while its floating. For
instance, ice has density of 0.92 g/ml so its specific gravity
0.92, what does 0.92 indicate?
The value 0.92 indicates the relative density of the ice.
Data;
Density = 0.92g/mlSpecific gravity = 0.92Specific GravitySpecific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.
mathematically;
[tex]relative density = \frac{density of substance}{density of reference}[/tex]
The value 0.92 indicates the relative density of the ice.
Learn more on specific gravity here;
https://brainly.com/question/14932758
What is the area of this polygon?
Answer:
The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].
Step-by-step explanation:
Need help on this question ASAP please please !!
Describe how to use the formula C = StartFraction 5 Over 9 EndFraction (F minus 32) to find the temperature in degrees Celsius if the temperature is 86°F. What is the temperature in degrees Celsius?
WRITEN RESPONE
Answer:
30°C
Step-by-step explanation:
The Conversion Formula :-
F - 32 / 9 = C / 5F is given to be 86.
Substitution
86 - 32 / 9 = C / 554 / 9 = C / 5C = 6 x 5C = 30°CAnswer:
Sample Response: To find the celsius temperature, substitute 86 for F in the formula. Then, use the order of operations to simplify. Substract 32 from 86. Then multiply 5 9 by 54 to get 30°C.
Step-by-step explanation:
help pls i cant figure this out
Answer:
answer is 1 metre
Step-by-step explanation:
We can assume the width be 'x'
Now we would get the equation
(2x+10)(2x+14)=192
on solving we get x=1
Please help graph this inequality
Answer:
View attached graph
Step-by-step explanation:
Hope it helps!
Is this a function pls someone tell me
Answer:
No, it is not a function.
Step-by-step explanation:
In a function, each element in the domain must correspond to exactly one element in the range. That is not the case here.
If s = 1 over 4 unit and A = 16s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)
Answer:
A = 1 square unit
Step-by-step explanation:
Given:
[tex]\sf s=\dfrac14[/tex][tex]\sf A=16s^2[/tex]To find A, substitute the value of s into the equation for A and solve:
[tex]\sf \implies A=16 \cdot \left(\dfrac14\right)^2[/tex]
[tex]\sf \implies A=16 \cdot \left(\dfrac{1^2}{4^2}\right)[/tex]
[tex]\sf \implies A=16 \cdot \left(\dfrac{1}{16}\right)[/tex]
[tex]\sf \implies A=\dfrac{16 \cdot 1}{16}[/tex]
[tex]\sf \implies A=\dfrac{16}{16}[/tex]
[tex]\sf \implies A=1[/tex]
Therefore, A = 1 square unit
[tex]\\ \rm\rightarrowtail A=16s^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(1/4)^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(0.25)^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(0.0625)[/tex]
[tex]\\ \rm\rightarrowtail A=1units^2[/tex]