Triangle A B C. Angle C is 90 degrees. Hypotenuse side A B is c, C B is a, C A is b. Solve the right triangle shown in the figure. Angle B = 23.4 degrees, Side A B = 3.3 millimeters, angle C = 90 degrees a. Side B C = 2.2 millimeters, Angle A = 66.6 degrees, Side A C = 2.4 millimeters c. Side B C = 3.0 millimeters, Angle A = 66.6 degrees, Side A C = 2.2 millimeters b. Side B C = 3.0 millimeters, Angle A = 66.6 degrees, Side A C = 1.3 millimeters d. Side B C = 1.3 millimeters, Angle A = 66.6 degrees, Side A C = 3.0 millimeters
Answers
*see attachment for the figure
Answer:
Side BC = 3.0 millimeters, Angle A = 66.6 degrees, Side AC = 1.3 millimeters
Step-by-step explanation:
Given:
C = 90°
B = 23.4°
AB = c = 3.3 mm
Required:
<A, BC, and AC
Solution:
✔️m<A = 180° - (90° + 23.4°) (sum of triangle)
m<A = 66.6°
✔️To find BC and AC, apply trigonometric function:
Reference angle = 23.4°
Hypotenuse = 3.3 mm
Opposite = AC
Adjacent = BC
✅Apply CAH to find AC:
Cos 23.4 = Adj/Hyp
Cos 23.4 = BC/3.3
3.3 × Cos 23.4 = BC
3.02859027 = BC
BC ≈ 3.0 mm
✅Apply SOH to find AC:
Sin 23.4 = Opp/Hyp
Sin 23.4 = AC/3.3
3.3 × Sin 23.4 = AC
1.31058804 = AC
AC ≈ 1.3 mm
Answer: B bc=3.0mm, A=66.6, AC=1.3mm
Step-by-step explanation:
Related Questions
y = 5x + 2
4x - y = 0
Is (2 , 12) a solution of the system?
Answers
Step-by-step explanation:
no , (2,12) only works for the 1st one
Answer:
Step-by-step explanation:
No
Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his house. Each tile has an area of 49 in^2. the function A(t)=49t represents the area A(t), in square inches that t tiles cover. What domain and range are reasonable for the function? What is the graph of the function?
Answers
Answer: [0, 396]
Step-by-step explanation:
The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.
0 to 44 written in interval notation is [0,44].
The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.
A(t) = 9t
A = 9(44)
A = 396
With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.
0 to 396 written in interval notation is [0, 396].
Which of these is a trinomial?
A. 2x^3 – 7y^3
В. 5xy
C. 2x - 7
D. x + 2y^2-7
Answers
Answer:
D. x + 2y² - 7
Step-by-step explanation:
it because it has 3 terms
Jack and charlie each deposit $17,250 into accounts that earn 6% interest for 6.5 years. Jacks account earns annual compound interest. Who will earn more interest after 6 years, and how much more interest will they earn?
Answers
From the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.
What is the difference between simple and compound interests?
Simple interest is based on the principal amount, which is the main distinction between it and compound interest. Contrarily, compound interest is calculated using the principle sum and interest that has been compounded over the course of a period. Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time. Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
The complete question is given below.
Given,
The principal amount deposited by both Jack and Carlie P = $17,250
The rate of interest r = 6% = 0.06
The time period = 6.5
Jack's account earns annual simple interest and Carlie's account earns annual compound interest.
So the amount in each person's account after a time period of t = 6 years.
Jack:
Amount = P(1+rt) = 17250 ( 1 + 0.06*6) = $23,460
Carlie:
number of times compounded in a year n = 1
Amount = [tex]P(1 + \frac{r}{n})^{nt}[/tex] = 17250 ( 1+0.06)⁶ = $24,469.45
Therefore from the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.
To learn more about the interest, follow the link.
https://brainly.com/question/25720319
#SPJ1
there is 1 pint of liquid in this container if another pint was added how much liquid would ther be
Answers
Answer:
2 us liquid pints =
0.25 us liquid gallon
Step-by-step explanation:
I need this answer as soon as possible
Answers
PLEASE HELP ASAP WILL GIVE BRAINLIST
Answers
Answer:
21 degrees
Step-by-step explanation:
The inscribed angle theorem states that when two cords (lines in a circle) make contact with the circumference of the circle (outer edge), and the two cords do not pass through the center of the circle, then the angle between the two cords is equal to half of the length of its surrounding arc. This means that the measure of arc (WV) is half of the measure of angle (WXV). Therefore, one can form an equation and solve for the length of the arc (WV).
2 (WV) = (m<WXV)
Substitute,
2 (WV) = (42)
Inverse operaitons,
2 (WV) = (42)
/2 /2
(WV) = 21
3x + 7 = 5x
7 = 2x
What step would you take to get from 3x + 7 = 5x to get to 7 = 2x
Answers
Answer:
this goes with steps and answer
Step-by-step explanation:
hope this helped!
how do I solve this and what steps do I take to solve it
Answers
Answer:
122.46 mi^2
Step-by-step explanation:
IF ans is correct comment back for explanation
Edge! 15 pts! PLEASE HURRY! Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Answers
Answer:
Side AH
Step-by-step explanation:
he other 3 sides only go through one face of the cube
Answer:
s√3
Step-by-step explanation:
Draw in the diagonal of the base, which is the line freom G to F. If the side length of this cube is s, then the length of this diagonal is
d = √(s² + s²) = (√2)s.
Now draw in the diagonal of the cube: draw a line segment from G to B. We have already found that the length of the diagonal GF is d = s√2. Apply the Pythagorean Theorem to the triangle whose sides are s√2 and s:
diagonal of cube = square root of the sum of the squares of s√2 and s:
= √(2s² + s²)= √(3s²) = s√3
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answers
Answer:
V = 612.3
Step-by-step explanation:
d = 6
r = 3
Volume of a cylinder:
V = πr²h
V = 3.14(3²)(20)
V = 3.14(9)(20)
V = 565.2
Volume of a cone:
V = πr²(h/3)
V = 3.14(3²)(5/3)
V = 3.14(9)(5/3)
V = 47.1
Combined:
565.2 + 47.1
612.3
2x+10=28
What is the solution to this equation
Answers
Answer:
x=9
Step-by-step explanation:
step 1. restate the equation
2x+10=28
step 2. subtract 10 from both sides of the equations
2x+10-10=28-10
2x=18
step 3. get x alone by dividing 2 from both sides
2x/2=18/2
step 4. the answer
x=9
x+2y+1=0,2x-3y-12=0 solve by substitution method
Answers
Answer:
Step-by-step explanation:
x=-1-2y
-2-4y-3y-12=0
-7y=14
y=-2
x=3
Michelle is making a scale model of her favorite car. The actual car is 8 feet long and 4 feet wide. Michelle wants her model to be 12 inches in length. Which could be used to find the width of her model if she used the same ratio?
Answers
Answer:
6 inches
Step-by-step explanation:
It is given that :
Length of the actual car = 8 feet
Width of the actual car is = 4 feet
Michelle is making a model of her car.
The length of her model car = 12 inches
Therefore, the ration is 3 : 2
So the width of the model car = 4 x 3/2
= 6 inches
1)
Orange-Gi
Gina is buying 24 oranges. Two stores offer the following deals:
Store A: 12 oranges for $6.48
Store B: 5 oranges for $2.65
Gina can buy oranges individually.
How much will Gina save if she buys 24 oranges at Store B?
Show your work
Please help meeee
I will give u 14 points
Answers
Answer:
She will save 1.24
Step-by-step explanation:
2.65 x 4 10 .60 plus .53 x 4 equals 12.72
6.48 x 2 equals 13.96
Can somebody help with question 5.
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wxh/v=L
hope this help
_______ samples are used to ensure representation from different types of subgroups in a population.
Answers
Answer:
d
Step-by-step explanation:
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Answer:
area of the triangle is
[tex] \frac{1}{2} \times 4.4 \times (6.1 + 3.3)[/tex][tex] 2.2 \times 9.4[/tex][tex]20.68 \: {in}^{2} [/tex]What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
x = 4
Step-by-step explanation:
Let's find the length of JL as a first step. Knowing the result, we can easily find x.
|JL| 1
sin 30 degrees = ----------------- = --------
8√2 2
Then 2 |JL| = 8√2, or |JL| = 4√2
Next, find x: sin 45 degrees = x / |JL| = x / [4√2], and since sin 45 degrees is 1 / [√2],
1
x / [4√2] = -------- which results in x = 4
√2
Luis puts $2,500 into an account that earns 5% interest per year for 3 years. Find the amount of interest earned on the account
Answers
Answer:
$375
Step-by-step explanation:
Given data
Principal= $2500
Rate= 5%
TIme = 3 years
We know that the expression for the simple interest is given as
SI=PRT/100
Substitute
SI= 2500*5*3/100
SI= 37500/100
SI= $375
The Town Theater receives $4212 by selling 465 tickets to
the opening night of the revue. If the full price of a ticket is $10.00
and discount tickets for students and seniors are $8.00 each, how
many discounted senior/student tickets were sold?
Answers
Answer:
219
Step-by-step explanation:
let x be the number of full price tickets and y be student/ senior number , then
x + y = 465 → (1)
10x + 8y = 4212 → (2)
Multiplying (1) by - 10 and adding to (2) will eliminate x
- 10x - 10y = - 4650 → (3)
Add (2) and (3) term by term to eliminate x
0 - 2y = -438
- 2y = - 438 ( divide both sides by - 2 )
y = 219
The number of senior/ student tickets sold was 219
A triangle has angle measurements of 44 degrees,87 degrees, and 49 degrees. What kind of triangle is it? acute,right, and obtuse.
Answers
find value of x and y
Answers
Step-by-step explanation:
x = 144 ( corresponding angle)
y = 180- 144 ( linear pair)
y= 36°
Complete the following table using the equation: y = x squared
x
-3
-1
0
1
3
y
Plot the points on a graph and determine which graph best represents the equation.
Graph A
On a coordinate plane, a parabola opens up and goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Graph B
On a coordinate plane, a parabola opens down and goes through (negative 2, negative 4), has a vertex at (0, 0), and goes through (2, negative 4).
a.
-9, -1, 0, -1, -9; Graph B
b.
9, 1, 0, 1, 9; Graph B
c.
9, 1, 0, 1, 9; Graph A
d.
-9, -1, 0, -1, -9; Graph A
Answers
Answer:
Step-by-step explanation:
ITS A
Answer:
The answer is C , Graph A
Step-by-step explanation:
I need help please I’ll give you 15 points
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Answer:
3 x 5 x 5
Step-by-step explanation:
75 = 15 x 5
15 = 3 x 5
Brionna bought a house for $300,000 in 2000. Unfortunately, the market is not doing so hot and each year she loses $2,000 in value. If she decides to sell in 2012 how much will her house be worth?
Answers
?? I need a step by step explanation, please
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Answer:
( 4 , − 1 )
Step-by-step explanation:
y= (x + 3)(x + 5)
y= x^2 + 5x + 3x + 15
y= x^2 + 8x +15
Ms. Cathy bought a package of pens. Out of every 10 pens, 6 are black. If there are 20 pens in the pack, what fraction of the pens in the pack are black? What percent of the pens in the pack are black?
Answers
Answer:
12/20 or 60%
Step-by-step explanation:
Find the slope of the line through the points (10,-6) and (-1,8)
Answers
Answer:
m=-14/11
Step-by-step explanation:
To find the slope use the formula: y2-y1/x2-x1
(8--16)/(-1-10)
14/-11
=-14/11
Solve using substitution. y = 5 7x - 8y = -12
Answers
Step-by-step explanation:
y=57x-8y=-12
so we put the Y
y=-12
-12=57x-8y
57x-8x(-12)=-12
(-36/19,-12)<---- answer