Answers
Answer:
[tex]x=4.02[/tex]
Step-by-step explanation:
The given triangle is a right triangle, this is indicated by the box around one of the angles, signifying that the angle is a (90) degree angle. Therefore, to solve this problem one must use trigonometric ratios. These ratios are used to describe the relationship between an angle and the sides in a right triangle.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\\[/tex]
Bear in mind, the names of the sides of the triangle are relative to the angle that one uses to describe it in the triangle. Therefore the (opposite) and (adjacent) sides will change depending on the angle one chooses to look at it from.
In this case, one is given the length of the side opposite the given angle. One is asked to find the measure of the side adjacent to the angle. Therefore, it would make the most sense to use the tangent (tan) ratio.
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Substitute,
[tex]tan(20)=\frac{9}{x}[/tex]
Manipulate the equation such that it is solved for (x),
[tex]x=\frac{9}{tan(20)}[/tex]
Solve,
[tex]x=4.02[/tex]
Related Questions
Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x – 18 32 = 2x 16 = x Use the drops-downs to justify how Heidi arrived at each step. Step 1: distributive property Step 2: Step 3: Step 4: Step 5:
Answers
Answer:
See explanation
Step-by-step explanation:
3(x + 4) + 2 = 2 + 5(x – 4)
Step 1: distributive property
3(x + 4) + 2 = 2 + 5(x – 4)
3x + 12 + 2 = 2 + 5x - 20
Step 2: collect like terms
3x + 12 + 2 = 2 + 5x - 20
3x + 14 = 5x - 18
Step 3: Addition property of equality
3x + 14 = 5x - 18
3x + 14 + 18 = 5x - 18 + 18
3x + 32 = 5x
Step 4: subtraction property of equality
3x + 32 - 3x = 5x - 3x
32 = 2x
Step 5: division property of equality
32 = 2x
32/2 = 2x/2
16 = x
x = 16
Find the perimeter and the area of the figure. I have been trying to figure this one out for hours.
Answers
Answer:
56 meters
Step-by-step explanation:
when calculating the perimeter, you need to take into account every side of the figure.
i will start at the top and go clockwise showing you my calculations
5 + 5 + 11 + 7 + 16 + 7 + 5
= 56
Which expressions are equivalent to -4(3d - 2) – 7?
Choose all answers that apply:
-12d - 15
12d - 15
None of the above
Answers
Answer:
None of the above
Step-by-step explanation:
-4(3d - 2) – 7
Distribute
-12d +8 -7
-12d +1
Answer:
None of the above
Step-by-step explanation:
-4(3d - 2) - 7 = (-4)*3d - 2 *(-4) - 7
= -12d + 8 - 7
= -12d + 1
6 x
1. Solve to find the value of x.
-
=
9
72
Answers
Answer:
13.5
Step-by-step explanation:
6x - 9 = 72
6x - 9 + 9 = 72 + 9
6x = 81
6x / 6 = 81 / 6
x = 13.5
PLSSS HELPPP I WILL GIVE BRAINLIEST
pls help ASAP
Thank you if u do help♥️
Answers
Answer:hey
Step-by-step explanation: -_-
?
—— x 8 = 7
8
*please help and explain how you got the answer :)*
Answers
Answer:
7
Step-by-step explanation:
7 divided by 8 multiplied by 8 would be 7
Convert 4x-2y=6 into slope intercept form
Answers
Answer:
y=2x-3
Step-by-step explanation:
first, you have to get the y by itself (isolate the y). you do this by subtracting 4x from both sides.
4x-2y=6
-2y=-4x+6
next, you have to divide both side by -2 to isolate the y further and get this into slope-intercept form:
-2y=-4x+6
y=2x-3
please help!! i have no clue what to do and this packet is due tonight.
Answers
Answer:
[D] ∞
General Formulas and Concepts:
Calculus
Limits
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]
[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]
Step 2: Evaluate
Substitute in function [Limit]: [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
can someone pls help me !
Answers
Answer:
Step-by-step explanation:
Square units are used to measure?
1 width
2 volume
3 area
4 length
Answers
Square units are used to measure area.
you always wanna do the sides of the square to measure it (which is area)
Pls help duhdiudhuod
Answers
Answer:
X. y
10. $7
24. $14
38. $ 21
Please help I’ll give brainliest
Answers
Answer:
[tex]a) \: 421 {mm}^{2} \: = 0.000421 {m}^{2} [/tex]
[tex]b) \: 9.3 {kg}^{2} \: = 9,300,000 {g}^{2} [/tex]
[tex]c) \: 25 {kl}^{2} \: = \: 25,000,000 {g}^{2} [/tex]
[tex]d) \: 1439 {m}^{2} = 0.001439 {k m}^{2} [/tex]
Robert has been on the road for 1 hour and 50 minutes. He has been traveling at a constant rate. So far, he has traveled one-sixth of his way to his destination. If he continues at the same rate, he will arrive at his destination at 3:30 PM. At what time did Robert start?
Answers
Answer: 6:30 AM
Step-by-step-explaination: 1:50×6=9:00. Robert will travel for 9 hours. We multiplied 1:50 times 6 because he has traveled one-sixth of the way. Now, we subtract 9 hours from 3:30.
3:30
2:30 1st
1:30 2nd
12:30 3rd
11:30 4th
10:30 5th
9:30 6th
8:30 7th
7:30 8th
6:30am is the answer because it is the ninth one from 3:30.
If you know the length of the side of the square, how can you figure out the area?
Answers
Answer:
By multiplying
If the sides were 5 then you would do 5x5 to get the area
Hope this makes sense :)
If you roll a single dice one time, what is the probability of rolling a 7 ?
Answers
Answer:
1/7
Report if wrong :)
Step-by-step explanation:
Also, I plead the 5th
Answer and Step-by-step explanation:
The probability of rolling a single 6-sided dice one time is 0% or 0/6.
This is because 7 is not a number/side on a 6-sided die.
If the single dice has 7 sides, then it would be 1/7 chance.
#teamtrees #PAW (Plant And Water)
7) y is inversely proportional to the square root of (x + 1).
When x = 8, y = 2. Find y when x= 99.
Answers
Answer y= 16/99
Explanation:
the initial statement is
y ∝ 1/x
To convert to an equation multiply by k the constant of variation
⇒ y = k × 1/x = k/x
To find k use the given condition y = 15 when x = 5
y = k/ x
⇒ k = y*x = 8 * 2 =16
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
y = 16/ x
when
x = 99
then
y = 16/99
Y = 16/99
What is the circumference of the circle below? Use the formula C = 2tr.
5 m
A 5 m
B 10T m
Answers
Answer: B
Step-by-step explanation:
The formula for circumference of a circle is 2 pie radius (2πr)
1. radius=5
2 so 2π(5)
3 2x5=10
4. 10π
Help please...no links...
Answers
the answer is 3/4 or c.
Step-by-step explanation:
to find tan A you would use the equation of tan which is the value opposite the angle A which is 27 over the value adjacent to the angle which is 36.
Arithmetic and Geometric Sequences
When an object is dropped from a tall building, it falls about 16 feet in the first second, 48 feet in the second second, and 80 feet in the third second, regardless of its weight.
How many feet would an object fall in the tenth second?
Answers
Answer:
the object will fall 5060 feet in 10 second.
Step-by-step explanation:
g= 9.8m/s^2 and 9.8×3.33=32.67 feet/s^2.
initial velocity (u)= 16 feet/second
time taken(t)=10 second
final velocity(v)= ?
now,
V= u+ GT
=16+32.67×10
=342.67feet/second
again
distance covered= VT+1/2gt^2
=342.67×10+1/2×32.67×100
=3426.7+1633.33
=5060 feet
A study of the effects of acid rain on trees in the Hopkins Forest shows that 25 of 100 trees sampled exhibited some sort of damage from acid rain. This rate seemed to be higher than the 15% quoted in a recentEnvironmetricsarticle on the average proportion of damaged trees in the Northeast. Does the sample suggest that trees in the Hopkins Forest are more susceptible than trees from the rest of the region
Answers
Answer:
Yes
Step-by-step explanation:
We can test this claim using the one proportion z test :
x = 25 ; n = 100
Phat = x / n = 25 / 100 = 0.25
H0 : P = 0.15
H0 : P > 0.15
The test statistic :
Z = (phat - p) ÷ √p(1-p)/n
Z = (0.25-0.15) ÷ √(0.15*0.85)/100
Z = 2.8
Using the Pvalue from Zscore calculator :
α = 0.05
Pvalue (Z < 2.8) =0.0026
Pvalue < α ; We reject the Null
Can somebody plz help draw the spinner with these probabilities on the question like take a pic of how it looks like or explain how I do it? Thanks!
Answers
I will draw a rough figure, you can draw it neatly.
Probability =
Probability = No. of favourable outcomes/ Total no. of outcomes
Probability = No. of favourable outcomes/ Total no. of outcomesTotal number of outcomes = 4
So, here:
P(2) = 2/4 = 1/2
P(1) = 1/4
P(3) = 1/4
P(4) = 0
Here, the probability of getting 2 is ½.
Probability of getting 1 is ¼.
Probability of getting 3 is ¼.
Probability of getting 4 is 0.
Help on this question please?
Answers
Answer:
48 in. x 64 in. is the correct answer
hope this helps
2. Priscilla is drawing a map of her school that uses a scale in which 1.5 cm 1 point
on the map represents 3 ft. If the first hallway has a length of 120 ft, what
should the length of the hallway be on the map?
O
a. 40 cm
b. 60 cm
C. 30 cm
d. 45 cm
Answers
Answer:
The answer is 60cm. (b)
Step-by-step explanation:
For every 1.5cm on the map, it represents 3 ft on real-size scale.
In other words, for every 1cm on the map, it represents 3/1.5 = 2ft on real size scale.
If you want to find 120ft of real-size scale, you can use 120ft/2ft * 1cm which gives 60cm
The fence of a square car park is a barbwire fixed at wooden posts. Its side measure 120 feet. What is the area of the car park?
Answers
Answer:
14,400
Step-by-step explanation:
120 x 120 = 14,400
Solve 5b + 11 = 56 - 4b.
Answers
5b + 4b = 56 - 11
Now add/subtract like terms:
9b = 45
Divide both sides by 9 because that is what both sides can be divisible by:
b = 5
Your answer is b = 5.
Write the equation of the line parallel to y=2x+7 and contains the points (6,-1)
Answers
Answer: y = 2x - 13
Step-by-step explanation: Start with the formula y=mx+b. Remember that the slope of the parallel line, m, is the same. Now you have y = 2x + b. You can find b, the y intercept, knowing that the line passes through the point given: -1 = (2) * 6 + b. So now we see that b = -13.
Write your
response.
In a recipe, you have to add one cup
of sugar for every four cups of flour.
What is the ratio of sugar to flour?
An
A. 4:1
B.
2:4
C.
1:2
D.
1:4
Answers
Answer:
Ratio is 1:4 . 1 cup sugar and 4 cup flour.
1 : 4 is the ratio of sugar to flour.
What is ratio of sugar to flour?A ratio exists as an ordered pair of numbers a and b, written a / b where b does not similar to 0. A proportion exists in an equation in which two ratios stand set equal to each other.
The demonstrated quotient of two mathematical expressions is called ratio.
cup of sugar = one
cup of flour = four
1 : 4 is the ratio of sugar to flour
To learn more about ratio refer to:
https://brainly.com/question/866028
#SPJ2
please help me solve
Answers
Answer:
x=45 degree
Step-by-step explanation:
tan X=1
X=[tex]tan^{-1}[/tex]1
X=45 degree
A bag contains 6 red marbles, 2 blue marbles and 5 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 1000th, that both
marbles drawn will be red?
Answers
The total number of marbles in the box is 25, that is 9 green, 5 blue and 11 red. You wish to know t probability that the single chosen green or blue marble. There are a total of 14 green and blue marbles so the probability is 14/25 or 56%.
find the distance,(-2,3)(-8,3)
Answers
Answer:
6
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[-8 - (-2)]² + (3 - 3)²
√(-6)² + (0)²
√36
= 6