Solve the special right triangle to find the missing sides. Leave your answer as a simplified radical
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Answer:
[tex] \tan(30°) = \frac{12}{r} \\ \frac{1}{ \sqrt{3} } = \frac{12}{r} \\ \boxed{r = 12 \sqrt{3} }[/tex]
and,
[tex] \sin(30°) = \frac{12}{t} \\ \frac{1}{2} = \frac{12}{t} \\ \boxed{t = 24}[/tex]
Related Questions
If someone can help me with these two points I would really appreciate it.
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Answer:
1. nonlinear
2. linear
Step-by-step explanation:
A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch.
While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
The reasonable range is limited to y ≥ 0.
The reasonable range is limited to y ≥ 0.6.
The reasonable range is limited to 0 ≤ y ≤ 5.5.
The reasonable range is limited to 0.6 ≤ y ≤ 5.5.
Answers
Answer: The answer is D
Step-by-step explanation: got it form edge
Answer:
its the 3rd option actually The reasonable range is limited to 0 ≤ y ≤ 5.5.
Step-by-step explanation:
edge
On a trip, you had to change your money from dollars to British pounds.
You got 560 pounds for 800 dollars.
Which is a unit rate that describes the exchange?
135 pounds per dollar
0.625 pounds per dollar
137 pounds per dollar
0.7 pound per dollar
Answers
Answer:
0.7 pound per dollar
Step-by-step explanation:
To find the pounds per dollar, divide the number of pounds by the number of dollars:
560/800
= 0.7
So, the unit rate is 0.7 pounds per dollar
Please helppppp.........
Answers
Answer:
x = 6.1
Step-by-step explanation:
Reference angle = 29°
Hypotenuse = 7
Adjacent side = x
Applying trigonometric ration, we would have:
Cos 29 = x/7
Multiply both sides by 7
7*cos 29 = x
6.12233795 = x
x = 6.1 (nearest tenth)
At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1246 with a standard deviation of 42 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following:
a. a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found between _______and _____ A.D.
b. a range of years centered about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
Answers
Answer:
(1204 ; 1288) ;
(1162 ; 1330) ;
(1120 ; 1372)
Step-by-step explanation:
Given that:
Mean, m = 1246 years
Standard deviation, s = 42 years
68% is within one standard deviation the mean ;
Therefore 68% equals ;
mean ± 1(standard deviation)
(1246 - 1(42)) ; (1246 + 1(42))
1204 ; 1288
B) b. a range of years centered 95% about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
95% is within two standard deviation of the mean ;
Therefore 95% equals ;
mean ± 2(standard deviation)
(1246 - 2(42)) ; (1246 + 2(42)
(1246 - 84) ; (1246 + 84)
(1162 ; 1330)
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
About 99.7% which is within 3 standard deviations of the mean
99.7% is within 3 standard deviations of the mean ;
Therefore ;
mean ± 3(standard deviation)
(1246 - 3(42)) ; (1246 + 3(42))
(1120 ; 1372)
5x - 2y = -15 and 3x + 8y = 37 elimination please
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Answer:
the answer is d i took the quiz
Step-by-step explanation:
5 time 6 is 30 but what is 5 time 123456789
Answers
Answer:
617283945?
Step-by-step explanation:
Answer:
617283945
Step-by-step explanation:
Simple: Use a Calculator
Then: Add an Answer
Ivan and Tanya share £150 in the ratio 4:1
Work out how much more Ivan gets compared to Tanya.
How much more does Ivan get?
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Tanya=£30
8x = 88
I can’t figure this out 10 points if you answer
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Answer:
divide 88 by the number of x
88/8= 11
X = 11
Answer:
x=11
Step-by-step explanation:
8x=88
You use inverse operation which means you would divide 8 on both sides to isolate x on one side resulting in x=11
What is the answer please explain?
Answers
360-262=98
98/2 = 49
f and d both equal 49 degrees
Pls find this asap I am already late for this pls
Answers
Answer:
Step-by-step explanation:
I'm not sure about number 3, but I have the answer for number. The answer is 1:32.
3: 69
3/69
Then we reduce the fraction to the lowest term
3/69 = 1/32
1:32
Just divide 96/3 and you can see that one bus can hold 32 students
Which fraction and decimal forms match the long division problem? 15) 8.000 75. 50 45, 50 45 5 O A. 8 and 0.53 15 O B. 8 15 and 0.53 O C. 15 8 and 0.53 O D. 15 8 and 0.533
Answers
Answer: The answer is A
Step-by-step explanation:
which ratio is equivalent to 4:5
10/15
4/10
16/20
15/8
Answers
Answer:
16/20
Step-by-step explanation:
16/20 = (4*4)/(4*5) = 4/4*4/5 = 4/5
Explanation: I just know
What is the amount of tax on a pair of shoes that cost $75.00, if the tax rate is 9%
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Answer: The tax would be $6.75.
Take $75 and multiply by.09
Identify the parts of the expression 4.2m + (8 divided 2) - 6 what is the term of expression
Answers
Answer:
I think the answer is 4.00
The parts of the given expression are constant term is -2 and the other term is 4.2m.
The given expression is 4.2m+(8 divided 2)-6.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
4.2m+(8 divided 2)-6
= 4.2m+8/2 -6
= 4.2m+4-6
= 4.2m-2
Here, the constant term =-2 and the other term is 4.2m
Therefore, the parts of the given expression are constant term is -2 and the other term is 4.2m.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ5
what is the answer to this problem? If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?
A. 30 calories
B. 202 calories
C. 270 calories
D. 360 calories
Answers
Answer: C
Step-by-step explanation:
Find the roots of h(t) = (139kt)^2 − 69t + 80
the smaller root is:
the larger root is:
The answers will consist of algebraic expressions containing the parameter k.
What positive value of k will result in exactly one real root?
K = ?
Answers
Answer:
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:
[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)
Roots are determined analytically by the Quadratic Formula:
[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]
[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]
The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].
[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:
[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]
[tex]k \approx \pm 0.028[/tex]
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
here’s the other one
Answers
Answer:
it is A
Step-by-step explanation:
Convert the following angle from degrees, minutes and seconds into decimal degrees.
Round to the nearest hundredth Do NOT include the degree symbol only write the
final number.
78°33'51"
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Brenda did a survey of the students in her classes about sheathed they liked to get candy bar or a new math pencil as their reward for positive behavior. She asked al 71 students she taught, and 32 said they would like a candy bar, 25 said they wanted a new pencil, and 4 said said they wanted both. If Brenda were to select a student at random from her classes, what is the probability that the student chosen would want:
a) a candy bar or a pencil?
b) neither a candy bar nor a pencil?
Answers
Which of the following statements are true of the graph of the function f(x)= (x+5)(x-3).
1.) The graph has a relative minimum
2.)The graph has a relative maximum
3.)The graph has an x-intercept at (5,0)
4.)The graph has an x-intercept at (3,0)
5.)The graph has a y-intercept at (0,-15)
6.) The axis of symmetry is x=-2
Answers
Answer:
4 is the correct answer
Step-by-step explanation:
y=(x+5)(x-3)
so x intercept means the value of x when y is zero
0=(x+5)(x-3)
x+5=0 so x=-5
x-3=0 so x=3
A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the rectangle
Answers
Answer:
The area is 15 feet
Step-by-step explanation:
So you are going to need two different equations-
l = w(3)
2l + 2w = 40
Insert the first equation into the second-
2(3w) + 2w = 40
Simplify this equation-
6w + 2w = 40
8w = 40
Divide both sides by 5
w = 5
Solve first equation
l = 5(3)
l = 15
Then find the area-
5 x 15 = 75
please help and u get a cookie
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so i would say no
I'll give you a Brainly please help me
Answers
Answer:
Step-by-step explanation:
A= (7,-9)
B= ( 6,-12)
Please help me with my homework!!
(btw i choosed A randomly but it doesn't mean it's correct bc it's green it turns green for all all them so don't be confused about that)
Answers
Answer: B
Step-by-step explanation:
12 1/3
pls help u dont have to explain that much
Answers
Answer:
k = -7
Step-by-step explanation:
Given
x² - x - 42 = (x + k)(x + 6)
Required
Find k
x² - x - 42 = (x + k)(x + 6)
Expand the left hand side
x²-7x + 6x - 42 = (x + k)(x+ 6)
Factorize
x(x - 7) + 6(x- 7) = (x + k)(x+ 6)
Further factorize
(x - 7)(x + 6) = (x + k)(x + 6)
By comparison
x + k = x - 7
Subtract x from both sides
k = -7
Only answer if you're sure its correct!
Answers
Answer:
im sure its D.)
Step-by-step explanation:
There are 3 boys for every 4 girls in the library. If there is 91 people in the library
a) How many boys are there in the library?
b) How many girls are there in the library?
Answers
Answer:
8
Step-by-step explanation:
Answer:
52 girls and 39 boys (multiply each by 13)
Step-by-step explanation:
4 x 13 = 52
3 x 13 = 39
= 91
Determine the perimeter and area plzzzz help
Answers
Answer:
The perimeter is 220 , the area should be 100 ,
Step-by-step explanation:The perimeter of the square is 40 because it’s all sides added together & they are all even - The perimeter of a circle is always 360 and this is half of a circle so that is a perimeter of 180; you add that to 40=220. The area is two sides multiplied together=100 for the square. You find the area of the half circle by doing the area of a circle divided by 2.
Mya bought 8 slices of bread for $2.40 at her local grocery store. How much would a
package with 12 slices cost at the price per slice?
Work Space
Answers
Explanation:
2.40 ÷ 8 = 0.3 (3 cents per slice)
0.3 x 12 = 3.60
Answer:
Cost of package with 12 slices = $3.60
Step-by-step explanation:
Given that:
Cost of 8 slices of bread = $2.40
Unit rate per slice = [tex]\frac{2.40}{8}[/tex]
Unit rate per slice = $0.30 per slice
Cost of package with 12 slices = 12 * 0.30
Cost of package with 12 slices = $3.60
Hence,
Cost of package with 12 slices = $3.60