Answers
Answer:
∠C ≈ 11.978°
Step-by-step explanation:
sin (∠C)/5 = sin (95°)/24
=> sin (∠C) = 5 × sin (95°) ÷ 24
=> ∠C = [tex]sin^{-1}[/tex](5 × sin (95°) ÷ 24)
=> ∠C ≈ 11.978°
Related Questions
A radio station signal covers a circular area out from the signal tower. It gets weaker the farther away your are. The local station WDHS (at location (0,0)) sends it signal out with a coverage radius of 5 miles. 1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning. 2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.
Answers
Answer:
1. We would hear better at Dunkin's since its distance from the radio station is the shortest.
2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.
Step-by-step explanation:
1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.
We need to find the distance of each point from the tower.
The shorter the distance from the radio station the better the signal.
The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].
With (x₁, y₁) = (0, 0) the location of local station WDHS
For Zaxby's distance located at (2, -4) = (x₂, y₂)
So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 0)² + (-4 - 0)²]
= √[(2)² + (-4)²]
= √[4 + 16]
= √20
= √(5 × 4)
= √5 × √4
= 2√5
= 4.47 miles
For McDonald's distance located at (4, -4) = (x₂, y₂)
So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - 0)² + (-4 - 0)²]
= √[(4)² + (-4)²]
= √[16 + 16]
= √32
= √(16 × 2)
= √16 × √2
= 4√2
= 5.66 miles
For Dunkin's distance located at (-3, 3) = (x₂, y₂)
So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-3 - 0)² + (-3 - 0)²]
= √[(-3)² + (-3)²]
= √[9 + 9]
= √18
= √(9 × 2)
= √9 × √2
= 3√2
= 4.24 miles
Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.
2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.
The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.
So, we calculate the distance of each point from the radio station.
With (x₁, y₁) = (0, 0) the location of local station WDHS
For Zaxby's distance located at (2, -4) = (x₂, y₂)
So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 0)² + (-4 - 0)²]
= √[(2)² + (-4)²]
= √[4 + 16]
= √20
= √(5 × 4)
= √5 × √4
= 2√5
= 4.47 miles
For McDonald's distance located at (4, -4) = (x₂, y₂)
So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - 0)² + (-4 - 0)²]
= √[(4)² + (-4)²]
= √[16 + 16]
= √32
= √(16 × 2)
= √16 × √2
= 4√2
= 5.66 miles
For Dunkin's distance located at (-3, 3) = (x₂, y₂)
So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-3 - 0)² + (-3 - 0)²]
= √[(-3)² + (-3)²]
= √[9 + 9]
= √18
= √(9 × 2)
= √9 × √2
= 3√2
= 4.24 miles
So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles.
So, McDonald's is out of range of the radio station.
What is the answer to this???
Answers
Answer:
18
Step-by-step explanation:
First, we have to find out the scale factor of the triangles. So, we go from 20 to 30 by:
[tex]20s=30\\s=3/2\\s=1.5[/tex]
1.5 is the scale factor. We're looking for x. We go from 12 to x by:
[tex]12*1.5=x\\18=x[/tex]
Find the value of x.
X
88°
86
Answers
Ava drove 224 miles in 4 hours, while Oscar drove 290 miles in 5 hours. What is her rate?
Answers
Answer:
Ava drove 56 miles per hour (mph) Oscar drove 58 mph, Oscar drove 2 mph faster than Ava.
Step-by-step explanation:
This relationship leads to the conclusion that there is no Pythagorean triple of this form that contains the integer 2. Why?
Answers
Answer:
suppose 2^2 + b^2 = c^2 with 2 < b < c (it should be clear that this assumption is fine, 12 + 22 = 5 and sqrt(5) is not an integer; 22 + 22 = 8 and sqrt(8) is not an integer). Then c^2 - 4 = b^2 so (c+2)(c-2) = b^2. As b is prime, this means c-2=b or c-2=1 (since c+2 > 1). So either c=b+2 or c=3. The c=3 case can't happen since that would make b^2 = 5 so we are left with c=b+2. Then we have 4 + b^2 = (b+2)2 = b2 + 4b + 4 meaning that b=0. So there are no triples involving 2.
Step-by-step explanation:
A Pythagorean triple of this form cannot contain integer 2 if we add extra 2x²y² because it will increase the value of the coefficient of xy to 4.
The given function:
[tex](x^2-y^2) + (2xy)^2 = (x^2 + y^2)^2[/tex]
This function is expanded as follows;
[tex](x^2-y^2)^2 + (2xy)^2 = (x^2 + y^2)^2\\\\x^4 + y^4 -2x^2y^2 + 4x^2y^2 = x^4 +y^4 + 2x^2y^2\\\\add \ \ (+2x^2y^2) \ to \ both \ sides \\\\x^4 +y^4 +4x^2y^2 = x^4 +y^4 +4x^2y^2[/tex]
In this expanded form of the given function, it is clear that non of the coefficients of x and y contains integer 2 and the supposed coefficient value of xy increase to 4 because of the extra 2x²y² added to the function.
Thus, we can conclude that a Pythagorean triple of this form cannot contain integer 2 if we add extra 2x²y² because it will increase the value of the coefficient of xy to 4.
Learn more here: https://brainly.com/question/11279692
2 questions only, please help :)
Answers
Answer:
yesno, 2y-x = -16Step-by-step explanation:
standard form is:
Ax+By=C
for problem 2:
y= 1/2 x-8
y- 1/2 x - 8= 0
rearrange:
- 1/2x + y +8 = 0
2 (- 1/2x + y + 8) = 0
-x + 2y + 16= 0
-x + 2y = -16
leading coefficient can't be negative
so multiply everything by -1
x -2y = 16
Answer:
1 yes no
Step-by-step explanation:
1 this is in standard form as it is a linear form and the intercepts can be found
2 This is not in standard form as it is a linear equation and both the x and y intercepts cant be found so must be written in the form AX+BY=C
so
-x + 2y = -6
and leading coefficient cant be - so multiply by -1
so
x-2y=6
willl give brainlyist if quick its timedd
Answers
Answer: 0
Step-by-step explanation: The answer is 0
Answer:
y=0
Step-by-step explanation:
Find three consecutive odd integers such that
the sum of four times the first, three times the
second, and two times the third is 167.
Answers
Answer:
17, 19, 21
Step-by-step explanation:
x = first number
x+2 = second number
x+4 = third number
4x + 3(x+2) + 2(x+4) = 167
simplify:
4x + 3x + 6 + 2x + 8 = 167
combine like terms:
9x + 14 = 167
subtract 14 from each side of the equation:
9x = 153
divide both sides by 9:
x = 17
PLEASE HELP ASAP ill give brainliest answer
Answers
Answer:
62.1=3 sig fig
185.3=4 sig fig
1,760= 3 sig fig
0.06= 1 sig fig
I don't know if that's all the questions you have or you didn't get the last one In the pic
LaShonda purchased 42 gallons of gas for $121.38. Which equation represents the
cost, y, of x gallons of gas?
Answers
5. Two vertices of a rectangle are (8,-5) and (8,7). If the area of the rectangle is 72 square units, name the possible location of the other two vertices. 6. A triangle with two vertices located at (5,-8) and (5, 4) has an area of 48 square units Determine one possible
Answers
Answer:
#5Given vertices:
(8, -5) and (8, 7)These have same x-coordinate, so when connected form a vertical segment.
The length of the segment is:
7 - (-5) = 12 unitsThe area of the rectangle is 72 square units, so the horizontal segment has the length of:
72/12 = 6 unitsPossible location of the remaining vertices (to the left from the given):
(8 - 6, -5) = (2, -5)and
(8 - 6, 7) = (2, 7)#6Similarly to previous exercise:
(5, -8) and (5, 4) given with the area of 48 square unitsThe distance between the given vertices:
4 - (-8) = 12 unitsThe other side length is:
48/12 = 4 unitsPossible location of the other vertices (to the right from the given):
(5 + 4, -8) = (9, -8)and
(5 + 4, 4) = (9, 4)Please help i'll give brainliest
Given the expenses below, what is the yearly total of estimated expenses? Rent: $1,460 per month Transportation: $405 per month Clothing: $996 per year Food: $85 per week Savings: $120 per week Utilities: $390 per month Recreation/Entertainment: $90 per week
$39,877
$40,320
$41,580
$42,990
Answers
Answer:
3546
Step-by-step explanation:
1460+405+996+85+120+390+90= 3546
Find the measure of the exterior <1 A 130 B 22 C 78 D 102
Answers
Answer:
C
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
B. 39, 45. C. 162, 972. D. 33, 39. 2. Based on the pattern, what are the next two ... If two angles are complementary, then the sum of their measures is 90°. ... D. alternate exterior angles. 56. 7. 8. 11. Find m2. The diagram is not to scale. 180 ... perpendicular to one of two parallel lines, then it is also perpendicular to the other.
i need help with this question
Answers
Answer:
the circle is 615.752160104 but the square196
Step-by-step explanation:
Answer this please 7= - w/8
Answers
Answer:
[tex]w = - 56[/tex]Step-by-step explanation:
[tex]7 = \frac{ - w}{8} [/tex][tex] \frac{ -w }{8} = 7[/tex][tex] - 8 \times \frac{ - w}{8} = - 8 \times 7[/tex][tex] - 1 \times ( - w) = - 8 \times 7[/tex]
[tex]1 \times w = - 8 \times 7[/tex]
[tex]w = - 8 \times 7[/tex]
[tex]w = - 56[/tex]
Hope it is helpful....Lauren can drive her car 320 miles on 10 gallons of gasoline. Melissa can drive her car 280 miles on 8 gallons of gasoline. Who can drive farther on 40 gallons of gasoline?
Answers
how many miles on 1 gallon?
Lauren: 320/10=32
Melissa:280/8=35
Who Drove farther?
32*40=1280
35*40=1400
Melissa can drive farther
Melissa drove farther of 1400 miles than Lauren.
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Lauren can drive her car 320 miles on 10 gallons of gasoline. Melissa can drive her car 280 miles on 8 gallons of gasoline.
The distance for 40 gallons will be calculated as,
Lauren: 320/10=32
Melissa:280/8=35
Distance covered by Lauren,
32 x 40=1280 miles
Distance covered by Melissa,
35 x 40=1400 miles
To know more about an expression follow
https://brainly.com/question/1262967
#SPJ2
Marla made $42 babysitting
for 5 hour's. How much money
did she make each hour?
A $8,40
B. 18.10
C. $1.90
D. $11.90
Help please
Answers
Answer: she made $8.40
Step-by-step explanation: divide 42 by 5 to get your answer
Answer:
A - $8.40
Step-by-step explanation:
You would have to do 45÷5
(Please help quick! will do brainliest!!)
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answers
Answer:
110
Step-by-step explanation:
that's what I got, I apologize if it's incorrect
Answer:
The median value would be 105.
Step-by-step explanation:
I would say the answer is 105. I hope that's right.
Find the measure of angle x. 217 ° х 103 160 O 320 57 O 114
Answers
Answer: 145
Step-by-step explanation:
check
Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles may be used once or not at all. A)Total Number of Possible Outcomes B)Number of Winners C)Number of Unfavorable Outcomes D)Number of Games P(event) = Number of Favorable Outcomes _________________________ ????????????????????????????? = ????????????????????????????? _________________________ 11 Total Number of Contestants
Answers
The first blank will be filled by Option A: Total Number of Possible Outcomes. The second blank will be filled by Option B: Number of Winners
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, we want the expression that could be used to predict the number of winners of a game.
Thus, event = event of winning the game, and its probability is evaluated as:
[tex]P(event) = \dfrac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}} \\\\P(\text{Winning the game})= \dfrac{\text{Number of winners}}{\text{Number of contestants}}[/tex]
Thus, the first blank will be filled by Option A: Total Number of Possible Outcomes. The second blank will be filled by Option B: Number of Winners
Learn more about probability here:
brainly.com/question/1210781
Which product is negative?
S
3
8
5
Answers
Answer:
D. (-3/8) (-5/7) (-1/4)
Step-by-step explanation:
Hints:
- * - * + = +
+ * - * - = +
+ * + * + = +
- * - * - = -
A. (-3/8)(-5/7)(1/4)
= (-3*-5*1) / (8*7*4)
= 15/224
B. (3/8)(-5/7)(-1/4)
= (3*-5*-1) / (8*7*4)
= 15/224
C. (3/8)(5/7)(1/4)
= (3*5*1) / (8*7*4)
= 15/224
D. (-3/8) (-5/7) (-1/4)
= (- 3*-5*-1) / (8*7*4)
= (-15)/(224)
= -15/224
The correct option is
D. (-3/8) (-5/7) (-1/4)
no link No link NO LINKS
Answers
Height=10
A=90
I think
Answer:
Base 9
Height 10
A 90
Find the area of the circle. Round you answer to the nearest hundredth.
Answers
Answer: well first you need to send the picture
Step-by-step explanation:
1. Take the picture
2. Post it to brainly
3. Get your answer
HELPPP PLZZZZ ASAP IS PLEASEEE DONT SEND A FILE AT ALL
Answers
Answer:
(-5, 7)
Step-by-step explanation:
Translate A left 6, and up 4
hii can i pls have help, i will give brainliest:D
Answers
Answer:
4
Step-by-step explanation:
half gallon is 64 oz. 256 ÷ 64 is 4
Answer
4
Step-by-step explanation:
1 gallon = 128 fluid ounces
1/2 gallon = 64 fluid ounces
Use gallons to convert 256 fl oz then multiply result by 2
256 / 128 = 2
2 x 2 = 4
4 half gallon containers
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the volume of the prism. ____ cu. ft.
HELPP IM TAKING A TEST AND I WILL GIVE BRAINLIEST AND EXTRA POINTS
Answers
12 (tell me if im wrong sorry if i am)
Step-by-step explanation:
Juan has scores of 85, 83, and 93 on three math
tests. What is Juan's average test score on these
math tests?
Answers
Answer:87
Step-by-step explanation:added all numbers and divided by 3
Write an equation to represent the sentence. DO NOT SOLVE THE EQUATION. Just
convert English to Algebra.
5 more than 4 times a number equals 21
Answers
Answer:
5+4x=21
Step-by-step explanation:
Let's say the "number" is x.
"more than" indicates addition, and "times" indicates multiplication.
5+4x=21
Twice a number added to another number is -8. The difference of the two numbers is 2. Find the
numbers.
Answers
Answer:
-2, -4
and
-1 1/3, -3 1/3
Step-by-step explanation:
2×x + y = -8
x - y = 2 or y - x = 2
first going for x-y=2
so, x = 2 + y
=> 2×(2+y) + y = -8
4 + 2y + y = -8
3y = -12
y = -4
=> x = 2 + -4 = -2
second going for y-x=2
-x = 2 -y
x = y - 2
=> 2×(y-2) + y = -8
2y - 4 + y = -8
3y = -4
y = -4/3 = -1 1/3
=> x = -4/3 - 2 = -3 1/3 (or -10/3)
PLZ PLZ PLZ HELP ME PLSSSSS
Answers
Answer:
x = 70
Step-by-step explanation:
Answer:
Step-by-step explanation:
b/c we know that the inside angles of a triangle add to 180
180 = 38 + x + x + 2
180 = 40 + 2x
140 = 2x
70 = x