Answers
Answer:
12) x = 49.5
13) x = 8.5
14) x = 44.8
15) x = 4.6
Step-by-step explanation:
We can solve for the missing side lengths using trigonometry
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For #12
We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.
That being said we want to create an equation to solve for x
[tex]tan(68)=\frac{x}{20}[/tex]
Now we solve
* multiply each side by 20 *
[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]
we're left with x = 49.5
It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.
For 13)
[tex]tan(62)=\frac{16}{x} \\[/tex]
*multiply each side by x*
[tex]xtan(62)=16[/tex]
*divide each side by tan(62)
[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]
we're left with x = 6.5
For 14)
[tex]tan(15)=\frac{12}{x}[/tex]
multiply each side by x
[tex]xtan(15)=12[/tex]
divide each side by tan15
[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]
we're left with x = 44.8
For 15)
[tex]tan(74)=\frac{16}{x}[/tex]
multiply each side by x
[tex]xtan(74)=16[/tex]
divide each side by tan(74)
[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]
we're left with x = 4.6
Related Questions
What is a reasonable domain and range for the function in #13 If the frame must be at least 1 inch and no more than 3 inches wide
Answers
Answer:
[tex]Domain: \{1 \le x \le 3\}[/tex]
Step-by-step explanation:
Given
See attachment for options
Required
Determine the domain and the range
From the question, we understand that:
[tex]x \ge 1[/tex] --- at least 1 inch
[tex]x \le 3[/tex] --- not more than 3 inches
So, the domain is:
[tex]x \ge 1[/tex] and [tex]x \le 3[/tex]
Rewrite as:
[tex]1 \le x[/tex] and [tex]x \le 3[/tex]
Combine both:
[tex]1 \le x \le 3[/tex]
Hence, the domain is:
[tex]Domain: \{1 \le x \le 3\}[/tex]
There is no available to determine the range.
A general rule is that, substitute the limits of the domain (i.e. 1 and 3) in the function formula, the result is the range of the dataset.
For instance:
[tex]A(x) = 5x[/tex]
We have:
[tex]A(1) = 5*1=5[/tex]
[tex]A(3) = 5*3=15[/tex]
The range will be:
[tex]Range: \{5 \le A(x) \le 15\}[/tex]
help asap pleaseeee !!!!!!
Answers
Answer:
C. ⅓ × (8 + 7) + 12
Step-by-step explanation:
Let's translate each statement given to numerals and symbols first:
Twelve => 12
One-third => ⅓
Sum of 8 and 7 => (8 + 7)
Representing this statement altogether will be:
⅓ of (8 + 7) = ⅓ × (8 + 7)
If 13 is added, we would get:
⅓ × (8 + 7) + 12
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Answers
A small toy car costs $3. A large toy car costs 5 times as much as the small one.
Aaron wants to buy one of each. Which equation can he use to find the cost (a)
of the two cars?
Answers
Answer:
(3 x 1) + (3(5) x 1) = a
Step-by-step explanation:
Jack wants to purchase a DVD player who’s price was $162.50 he has $50 only how much more money does Jack need to purchase the DVD player
Answers
$162.50- 50= 123.50
The radius of a circle is 4 feet. What is the circle's circumference?Use 3.14 for
r=4 ft
Answers
Answer:
50.24 is the circumfrence
If we were to use actual pi the answer would be -
50.26548246
Answer:
25.12
Step-by-step explanation:
2pi4=2*3.14*4=25.12
conviince me for my question (brainliest plzz)
please help whoever wins gets brainliest
Answers
Another way would be cutting it into a rectangle and square.
What percent of the data is between 30 and 50 on the number line?
Answers
Answer:
20 percent
Step-by-step explanation:
50 - 30 = 20 percent
Janette measures the heights in inches of some of the flowers in her garden to see which ones are growing more. The heights are listed below. Which line plot represents the data correctly? 7 1 2 712 7 7 7 1 2 712 6 3 4 634 7 1 4 714 7 1 4 714 7 1 4 714 7 7 6 1 2 612 7 3 4 734 7 3 4 734 6 3 4 634 8 1 4 814 7 7 7 1 2 712 7 7 7 1 4 714 7 7 7 1 2 712 7 1 2 712
Answers
Answer:
Dot plot A
Step-by-step explanation:
In other obtain the solution to the question given, we obtain the frequency distribution of the data values given and compare to the box plots given to identify which boxplot correctly conveys the data.
___ Frequency
6 1/2 - 1
6 3/4 - 2
7 = 5
7 1/4 = 4
7 1/2 = 5
7 3/4 = 2
8 1/4 = 1
What are the measures of ∠1 and ∠2?
Answers
Answer:
Angle 1 = 102
Angle 2 = 40.9
Step-by-step explanation:
[tex]1)\ 180 - 121.8 = 58.2[/tex]
[tex]2)\ angle\ 2 = 58.2 - 17.3 = 40.9[/tex]
[tex]3)\ angle\ 1 = 180 - 40.9 - 37.1 = 102[/tex]
Answer:
m∠1 = 67.4° m∠2 = 104.5°
Step-by-step explanation:
17.3 + m∠2 = 121.8
m∠2 = 104.5°
m∠1 + 37.1 = m∠2 = 104.5
m∠1 = 67.4°
What is the length of leg s of the triangle below?
Answers
Answer:
E. 8
Step-by-step explanation:
It's a special right angle triangle. Hypotenuse is
[tex] \sqrt{2} x[/tex]
where x is the length of other legs. Also other two sides of triangle are always equal.
So to find the other leg divide by .
[tex] \sqrt{2} [/tex]
The length will be 8.
If Joe earns $38,000 a year:
1. How much does he make a month?
2. If his budget per month is $3,200, can he afford that on his salary?
Answers
2. No, Joe would be $33 short of his budget
anyone knowww thiusss ?
no scammers pleaseeee
Answers
Answer:
about 9cm
Step-by-step explanation:
Muliply the radius by itself: 16x16
Mulitply the answer by 3.14.
Divide 7252 by the answer to get 9
Water is coming out of a fountain is modeled by the function f(x)=-x^2+8x+2 where f(x) represents the height, in feet, if the water from the fountain at different times x, in seconds
Answers
What is the average rate of change of f(x)=x2+x−6 between x=1 and x=3 ?
A
5
B
–5
C
15
D
10
Answers
Answer:
10
Step-by-step explanation:
Substitute 1 in place of x and the result is -4.
Again substitute 3 in place of x and the result is 6.
Change=6-(-4)=10
One evening, Mr. Smith, Sam, and Sydney went to see the Myrtle Beach Pelicans’ Game. They each bought a ticket and a hat that cost $10 each. How much was each ticket to enter the ballpark?
Answers
Answer:
You can't answer this question without knowing the total amount of money they all had in total.
repost on my warm up plz help
Answers
Answer:
oh srry ur not a scam
Step-by-step explanation:
Answer:
#1: (Problem 3² × 3³, Answer: 243) (Problem 3⁵, Answer: 243), yes the answer matches
#2: (Problem 2³ × 2⁴, Answer: 128) (Problem 2¹², Answer: 4096), No, the answer doesn't match.
#3: (Problem (-2)⁴ × (-2)², Answer: 64) (Problem (-2)⁸, Answer: 256), No the answer doesn't match.
#4: (Problem (-3)² × (-3)⁵, Answer: -2187) (Problem (-3)⁷, Answer: -2187), yes the answer matches
The pattern is: When 2 whole numbers raised to a power are multiplied together, the base stays the same and the exponent add up
Hope this helps!
Hi could some PLEASE help me !!!!
Answers
Answer:
3x=78+x-2
Step-by-step explanation:
Find the volume of a cylınder whose base is a circle with a diameter of 18 inches.
Answers
Answer:
257.48 inches
Step-by-step explanation:
pi * radius^2 * Hight
find radius by dividing the diameter in half
pi = 3.14
Question 2
0.5 pts
Write 0.1133 as a fraction.
(Does not need to be simplified)
[a]
Question 3
0.5 pts
what
Answers
Answer:
1133/10000
Step-by-step explanation:
Hi how’s your day ? Would you like to help me ?
Answers
Answer:
Hi
Good
I think its the second but i'm not sure because there are no measurements
Good luck
HELP 30 POINTS please in a hurry
Is the relation shown below a function? Use the graph below to justify your response.
(0, 0), (2, 0), (2, 2), and (3, 4)
Answers
To be a function every input value (x) can only have one output value (y)
On the graph there are 2 out put values for x = 2 so it is not a function.
The answer would be C.
find the cost of 24 piece of shshi from each restaruant
Answers
Answer:
sushi* and there is no picture.
Step-by-step explanation:
The volume of the figure, round to the nearest hundredth.
Answers
Answer: Imma need a picture to find the volume love.
Step-by-step explanation:
What is the answer to this?-
Answers
Answer:
Yes it is congruent by HL
what is the value of x?
Answers
What is this shape? (sorry I'm d.umb)
Answers
Answer:
triangular prism
Step-by-step explanation:
A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?
Answers
Answer:
4/3
Step-by-step explanation:
To know this, let's write down the formulas for the volume of cylinder and sphere.
Vs = 4/3πr³ (1)
Vc = π r² h (2)
Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:
Vs / Vc = 4πr³ / 3πr²h
Vs/Vc = 4πr³ / 3πr³
From here, we can cancel out the values of π and r³:
Vs/Vc = 4/3
Vs = 4/3 VcThus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.
Hope this helps
Identify the net that corresponds to the figure below. A. B. C. D.
Answers
Answer:
The net that corresponds to it is ,B
Which expression shows the result of applying the distributive property to 9(2 + 5m)?
• 2 + 45m
O 18 + 45m
O 11 + 14m
18 + 5m
Answers
Answer:
18+45m
Step-by-step explanation:
You multiply when applying the distributative property:
9(2+5m)
18+45m multiply 9 by each value in parentheses