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
Which expression shows the result of applying the distributive property to 9(2 + 5m)?
• 2 + 45m
O 18 + 45m
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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
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Answers
Another way would be cutting it into a rectangle and square.
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2. No, Joe would be $33 short of his budget
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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I think its the second but i'm not sure because there are no measurements
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Answer:
C. ⅓ × (8 + 7) + 12
Step-by-step explanation:
Let's translate each statement given to numerals and symbols first:
Twelve => 12
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Sum of 8 and 7 => (8 + 7)
Representing this statement altogether will be:
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Answers
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Answers
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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.
Identify the net that corresponds to the figure below. A. B. C. D.
Answers
Answer:
The net that corresponds to it is ,B
A small toy car costs $3. A large toy car costs 5 times as much as the small one.
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Answers
Answer:
(3 x 1) + (3(5) x 1) = a
Step-by-step explanation:
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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.
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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
What is the average rate of change of f(x)=x2+x−6 between x=1 and x=3 ?
A
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B
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C
15
D
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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.
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Answer:
triangular prism
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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The radius of a circle is 4 feet. What is the circle's circumference?Use 3.14 for
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Answers
Answer:
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Answer:
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Step-by-step explanation:
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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:
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Step-by-step explanation:
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
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6 3/4 - 2
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7 1/4 = 4
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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]
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
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Answers
Answer:
about 9cm
Step-by-step explanation:
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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!
What is the answer to this?-
Answers
Answer:
Yes it is congruent by HL
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.
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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°