find the angle represented by x ( round the nearest tenth of a degree) A 16.2 B 16.4 c17.1 d17.4
Answers
Answer:
B. 16.4°
Step-by-step explanation:
reference angle = x = [tex] \theta [/tex]
Side length opposite to x = 20 ft = opp
Adjacent side length = 68 ft = adj
Apply the following trigonometric ratios formula:
[tex] tan(\theta) = \frac{opp}{adj} [/tex]
Plug in the values into the formula
[tex] tan(x) = \frac{20}{68} [/tex]
[tex] tan(x) = 0.2941 [/tex]
[tex] x = tan^{-1}(0.2941) [/tex]
[tex] x = 16.3886 [/tex]
x = 16.4° (nearest tenth)
Answer:
B. 16.4
Step-by-step explanation:
Related Questions
Two groups are going on a trip to the theater. The first group has 30 students in for adult chaperones. The second group has 25 students in for adult chaperones. The cost, in dollars, for each student ticket, S, and each adult ticket, A, can be determined using the system of equations below
Answers
Answer:
$20
Step-by-step explanation:
Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.
30s+4a=720
25s+4a=620
What is the cost for each student ticket?
Solution:
30s+4a=720
(1)
25s+4a=620 (2)
Subtract (2) from (1)
30s - 25s = 720 - 620
5s = 100
Divide both sides by 5
s = 100/5
= 20
s = $20
Substitute the value of s into (1)
30s + 4a = 720
30(20) + 4a = 720
600 + 4a = 720
4a = 720 - 600
4a = 120
a = 120 / 4
= 30
a = $30
Each student tickets cost $20
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per teacher? Per tutor? How many
Answers
This question is incomplete
Complete Question
An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?
Answer:
a)How many students does the academy have per teacher?
22 students per teacher
b) Per tutor?
11 students per tutor
c) How many tutors does the academy need if it has 132 students?
12 tutors
Step-by-step explanation:
a)How many students does the academy have per teacher?
6 teachers = 132 students
1 teacher = x
6 × x = 132 × 1
x = 132 × 1/6
x = 22 students
Hence, we have 22 students per tutor
b) Per tutor?
4 tutors = 44 students
1 tutor = x students
Cross Multiply
4 × x = 1 × 44
x = 44/4
x = 11 students
Hence, we have 11 students per tutor
c) How many tutors does the academy need if it has 132 students?
44 students = 4 tutors
132 students = x tutors
Cross Multiply
44 × x = 132 × 4
44x = 132 × 4
x = 132 × 4/44
x = 12 tutors
The academy needs 12 tutors if they have 132 students.
I ONLY HAVE 5 MIN TO TURN THIS IN CAN SOMEONE PLEASE HELP ME!!!!!!!!
Answers
Answer:
a. x = 8 yearsb. 52,000Step-by-step explanation:
company A = 28,000 + 3,000 (x)
company B = 36,000 + 2,000 (x)
where x = no. of years.
company A = company B28,000 + 3,000 (x) = 36,000 + 2000 (x)
3,000 (x) - 2,000 (x) = 36,000 - 28,000
1,000 (x) = 8,000
x = 8,000
1,000
x = 8 yearsplugin value of x = 8 into company A and Bcompany A = 28,000 + 3,000 (8)
company A = 52,000company B = 36,000 + 2,000 (8)
company B = 52,000HELP WILL GIVE BRAINLYEST
Answers
Answer:
Answer is D. 2 & -2
Answer:D
I THINK
Step-by-step explanation:
Hopefully this is the right one
If 10 cm on a map represents 25 km of actual ground, how many centímetres would 45 km of actual ground be on the map?
Answers
Answer:
18cm
Step-by-step explanation:
10 ?
25 45
cross multiply,
10*45
=450
then divide,
450/25
=18
Please help ASAP!!!!!!!!
Answers
In this case (11-10)/(5-10) = 1/-5
The slope is -1/5
have a great night
the midsegment of ABC is LM what is the length of AL if LB is 20 inches long?
a. 10
b. 40
c. 20
d. 30
Answers
Answer:
20
Step-by-step explanation:
since al = lb because it is midsegment and lb = 20 so AL = 20
C. 20
Explanation
What is the value of the x variable in the solution to the following system of equations?
4x + 2y = 6
x - y = 3
Answers
Answer:
The solution is x=2 and y=-1
Step-by-step explanation:
(step 1)
4x + 2y = 6
x - y = 3 - then multiply by 2
4x +2y = 6
2x -2y = 6 then add
6x x = 12 x = 12/6 = 2
Substitue back in (step 1)
4 x 2 + 2y = 6
8 + 2y = 6
Answer is = 2y = -2 y= -1
Solution: x= 2
y= -1
will give brainalist!!
ratio please be correct due soon no fake answers
Answers
6 sponge
315 ml
135g tinned fruit
Answer:
Step-by-step explanation:
Strawberry jelly:
120 ÷ 4 × 3 = 90 g
Sponge fingers:
8 ÷ 4 × 3 = 6
Custard:
420 ÷ 4 × 3 = 315 ml
Tinned fruit:
180 ÷ 4 × 3 = 135 g
URGENT PLEASE I AM TIMED URGENT SOLVE THE PROBLEM AND PLEASE, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER, GIVE DETAIL'S I WILL MARK AND 5 STARS
Answers
I'm pretty sure you just multiply the 1 1/4 by 3 because if 1 1/4 makes 10 muffins you need to make 3 more dozens so 1 1/4 times 3 equals 3.75
Calculate the sum.
10+ (-42)
O A. 52
O B. -32
O C. 32
D. -52
Answers
Answer:
B
Step-by-step explanation:
10 + (-42)
10 - 42
-32
G
Mr. Chang's class has 28 students, 7 of whom are girls. Which equation shows how to determine the number of girls in
Mr. Chang's class?
o 28-4-49
0 28 x 7 - 16
017-28 - 11
o 1-28-
Answers
Answer:
Girls in Mr. Chang's class: 28 - 21 ; # girl students = # total students - # boy students ; 7 girl students.
Boys in Mr. Chang's class: 28 - 7 ; # boy students = # total students - girl students ; 21 boy students.
Which steps can be used in order to determine the solution to -1.3+4.6x=0.3+4x?
Answers
Answer:
x = 2.67
Move variables to the right and constants to the left, Then divide and you get the answer.
Step-by-step explanation:
-1.3+4.6x=0.3+4x (given)
-1.3x + 0.6x =0.3 (subtraction property of equality)
0.6x = 1.6 (addition property of equality)
x = 2.66666666667 (division property of equality)
2.66666666667 = 2.67 (rounding to the nearest tenth)
-0.3. -0.3
-1.6+4.6x=4x
-4.6x. -4.6x
-1.6=-0.6x
___. ___
0.6. 0.6
-2.66666667=x
Any help is needed!! ❤️ only if you know ofc!
Answers
Answer:
b=74degrees
Step-by-step explanation:
First find angle a
180-112-33=35
use angle a to find b
180-35-71=74
Factor 18p-36 to identify the equivalent expressions. Choose 2 answers:
Answers
Answer: 9(2p-4)
The greatest common factor of 18 and 36 is 9.
Divide 9 by 18, and 9 by 36.
36 ÷ 9 = 4
18 ÷ 9 = 2
We have to add p to the 2 as well, and a 4 in parentheses.
We get the answer 9(2p-4).
Answer:
It would be a and c
Step-by-step explanation:
What is cos(37pi)?
A. 1
B. 0
C. -1
D. -2
Answers
Cos(116.238) = -1
plss help ASAP
What is the ratio of blue shapes to all shapes in the set below?
4.9
5.9
4.5
5.4
Answers
Answer:
5:9
Step-by-step explanation:
There are 5 blue shapes out of 9 total shapes.
Helpp pleaseeee i will make brainliest!
Answers
Answer:
d and a
Step-by-step explanation:
Two angles are said to be supplementary when the sum of the two angles is 180°. When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles:)
Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a question and your answer gets reported and deleted you lose the points you received! So don't put incomplete, absurd, plagiarism answers!
4x+49<9-x
Answers
Answer:
x<−8
Step-by-step explanation:
4x+49−9<−x
4x+40<−x
40<−x−4x
−
5
40
>x
−8>x
x<−8
The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent?
A.
f(x) = (x − 1)2
B.
f(x) = (x + 1)2
C.
f(x) = -1(x − 1)2
D.
f(x) = -1(x + 1)2
Answers
Answer: A. f(x) = (x - 1)²
Step-by-step explanation:
what is the anwser if it is 4/-1
Answers
Explanation:
Answer:
-4 for else the other sign as no value as of I knw
Sovle -5x + 8 < - 2x + 23
Answers
Answer:
_3x>+31 but I am not sure
Step-by-step explanation:
-5x<-2x+8+23
-3x>+31
Answer:
x > -5
Step-by-step explanation:
1.) Add +5x on both sides
-5x + 8 < - 2x + 23
+5x +5x
8 < 3x + 23
2.) Subtract 23 from both sides
8 < 3x + 23
-23 -23
-15 < 3x
3.) Divide by 3 on both sides
-15 < 3x
3 3
-5 < x
Because you divided by a negative, the sign flips
-5 > x
Help!!!
By rounding each number to 1sf. Estimate the answer to 7.238 × 125.5413
Answers
Answer:
909
Step-by-step explanation:
I'm not sure if I'm right plz tell me if I'm wrong
Solve the system by substitution. 4x=8y 2x+5y=27
Answers
Answer:
(6, 3)
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
4x = 8y
2x + 5y = 27
Step 2: Rewrite systems
x = 2y
2x + 5y = 27
Step 3: Solve for y
Substitute: 2(2y) + 5y = 27Multiply: 4y + 5y = 27Combine like terms: 9y = 27Isolate y: y = 3Step 4: Solve for x
Plug in y into an original equation to find x.
Substitute: 4x = 8(3)Multiply: 4x = 24Isolate x: x = 6Answer:
[tex](6,3)[/tex]
Step-by-step explanation:
[tex]4x = 8y\\4x/4 = x\\8y/4= 2y\\x=2y[/tex]
[tex]2(2y)+5y=27\\4y+5y=27\\9y=27\\9y/9=y\\27/9=3\\y=3[/tex]
[tex]x =2y\\x= 2(3)\\x=6[/tex]
PROBLEM I WITHOUT A CALCULATOR)
1. A room is warming up such that the temperature rise, in degrees Fahrenheit, is proportional
to the time the room has been heating. After 4 minutes, the room temperature rose 12 °F.
(a) What is the constant of proportionnlit for the
Please help
Answers
Answer:
12 minutes I think question kinda confusing
Which is bigger 9/5 or 9/10
Answers
Answer:
9/10
Step-by-step explanation:
because it is
PLEASEEEEEE HURRY!!! Will give brainly
Write the equation in slope intercept form (y=mx+b) of a line that passes
Through the points (6,5) and (2,4).
Answers
Answer:
y = 1/4x + 5/2
Step-by-step explanation:
slope = rise over run
1 rise for 4 run
y intercept = 5/2
A. Explain how you know that Triangle ABC is similar to Triangle A'B'C'. (use complete sentences and show all your work to get full credit)
B. If AC = 8, A'C' = 12, and AB = 20 what is the length of A'B'?
Answers
Answer:
A. Since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.
B. A'B' = 30
Step-by-step explanation:
A. Two triangles are said to be similar if their corresponding angles are congruent to each other.
To know whether ∆ABC and ∆A'B'C' are similar, let's find the measure of their angles each, and see if their corresponding angles are congruent to each other.
∆ABC:
m<A = 59°
m<B = 37°
m<C = 180 - (37 + 59) = 84°
∆A'B'C':
m<A' = 59°
m<B' = 180 - (59 + 84) = 37°
m<C' = 84°
As we can see,
Angle A is congruent to Angle A'
Angle B is congruent to Angle B'
Angle C is congruent to Angle C'
Therefore, since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.
B. AC = 8; A'C' = 12; AB = 20
Since ∆ABC is similar to ∆A'B'C', the ratio of their corresponding sides would be equal.
Therefore:
AC/A'C' = AB/A'B'
Plug in the values into the equation
8/12 = 20/A'B'
Cross multiply
A'B'*8 = 20*12
A'B'*8= 240
Divide both sides by 8
A'B' = 240/8
A'B' = 30
I will send u the pic
Answers
Answer:
a pic of ur math?
Step-by-step explanation:
Having trouble with this one help appreciated
Answers
Answer:
The constant of proportionality is 3.50.
Step-by-step explanation:
We know that when y directly varies with x, such that
[tex]y=kx[/tex]
The number 'k' is called the constant of proportionality.
Given the equation
[tex]y=3.50x[/tex]
as
[tex]y=kx[/tex]
so
[tex]k=3.50[/tex] ∵ [tex]y=kx[/tex]
Here the value of k = 3.50, which is the constant of proportionality.
Therefore, the constant of proportionality is 3.50.