Answers
9514 1404 393
Answer:
2. x ≈ 17.74
3. x ≈ 16.64
Step-by-step explanation:
The tangent function relates an angle to the opposite and adjacent sides of a right triangle:
Tan = Opposite/Adjacent
Here, we're looking for the measure of the side opposite the angle, so we can rearrange this relation to ...
Opposite = Adjacent×Tan
__
2. x = 32×tan(29°) ≈ 17.74
3. x = 13×tan(52°) ≈ 16.64
_____
Hopefully, we've given enough decimal places so that you can round to the precision you need.
Related Questions
PLZZ HELPP ILL GIVE BRAINLIST
Answers
Latoya can plant 1/3of her garden in 2/5 hour. If she continues working at this rate, what fraction of Latoya’s garden can she plant in one hour?
Answers
Answer:
Latoya can plant 5/6 of her garden in one hour.
Step-by-step explanation:
☆We can solve using proportion!
[tex] \frac{ \frac{1}{3 } \: of \: garden }{ \frac{2}{5} \: of \: hour } = \frac{x}{1 \: hour} \\ \\ \frac{ \: \frac { 2}{5}x }{ \frac{2}{5} } = \frac{ \frac{1}{3} }{ \frac{2}{5} } \\ \\ x = \frac{5}{6} [/tex]
The melting/freezing point of mercury is –39ºC. A scientist put liquid mercury into a freezer that is kept at a constant temperature of –35ºC. Will the liquid mercury freeze?
Answers
Answer:
The mercury will not freeze because the freezer is warmer than the freezing point of mercury.
Step-by-step explanation:
A "freezing point" is a point that allows a liquid to solidify. This is lower than the melting point (of course). However, specific liquids freeze at varying freezing points.
For example, the freezing point of water is 0°C while the freezing point of Mercury is -39°C. This means that water will only freeze once it reaches a temperature of 0°C or lower than this. Same goes for Mercury–it needs to reach the temperature of -39°C or lower in order to freeze.
Simplify
2g + 4h + 4i -8g + 3h - 4i
Answers
Answer:
-6g + 7h
Step-by-step explanation:
A mother otter spends 1/3 of each day feeding her baby. How many hours does the mother otter spend feeding her baby in 1 week?
Answers
1/3 of 24 (hrs) is 7.999 (rounded to 8)
and multiply 7 (days out of the week) by the hrs
Please help. I dont understand how to do this. Enter the coordinates of the vertices of (Ry-axis ∘ r(90°, O))(QRST).
Answers
Answer:
I think it's
Q = ( 1 , 3 )
R = ( 3 , 3 )
S = ( 0 , 2 )
T = ( -2 , 1 )
Step-by-step explanation:
please tell me if this is wrong.
Hope this helps!
One of the vertices of △PQR is P(2, −1). The midpoint of PQ is M(3, 0). The midpoint of QR is N(5, 3). Show that MN || PR and MN = 1/2 PR.
The coordinates of Q are:
The coordinates of R are:
The slope of MN is:
The slope of PR is:
The line segments are (select)
MN =
PR =
Answers
Answer:
See the proof below
Step-by-step explanation:
Given the following coordinates
P(2, −1)
Midpoint of PQ M(3, 0)
We can get the coordinate point Q using the midpoint formula;
M(X,Y) = (x1+x2/2, y1+y2/2)
X = x1+x2/2
3 = 2+x2/2
6 = 2+x2
x2 = 6-2
x2 = 4
Y = y1+y2/2
0 = -1+y2/2
0 = -1 + y2
y2 = 0+1
y2 = 1
Hence the coordinate of Q is (4, 1)
Next is to get the coordinate of R
Given the midpoint of QR to be N(5, 3)
(5,3) = (4+x2/2, 1+y2/2)
5 = 4+x2/2
10 = 4+x2
x2 = 10-4
x2 = 6
1+y2/2 = 3
1+y2 = 6
y2 = 6-1
y2 = 5
Hence the coordinate of R is (6,5)
Given the coordinates M(3, 0) and N(5, 3)
Slope is expressed as:
m = y2-y1/x2-x1
m = 3-0/5-3
m = 3/2
Slope of MN = 3/2
Get the slope of PR
Given the coordinates P(2, −1) and R (6,5)
Slope of PR = 5-(-1)/6-2
Slope of PR = 5+1/4
Slope of PR = 6/4 = 3/2
Since the slope of MN is equal to that of PR, hence MN is parallel to PR i.e MN || PR
To show that MN = 1/2PR, we will have to take the distance between M and N and also P and R first as shown:
For MN with coordinates M(3, 0) and N(5, 3)
MN = √(x2-x1)²+(y2-y1)²
MN = √(5-3)²+(3-0)²
MN = √2²+3²
MN = √13
Get the length of PR where P(2, −1) and R (6,5)
PR = √(6-2)²+(5+1)²
PR = √4²+6²
PR = √16+36
PR = √52
PR = √4*13
PR = √4*√13
PR = 2√13
Since MN = √13
PR = 2MN
Divide both sides by 2
PR/2 = 2MN/2
PR/2 = MN
Hence MN = 1/2 PR (Proved!)
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answers
Answer:
6936 pints and 1156 cups
Step-by-step explanation:
Answer:
7514 pints
Step-by-step explanation:
i rechecked and this was correct?
3/8 × 4/11 =
three eighths times four elevenths
Answers
Answer:
12/88, which is 3/22 in simplest form.
Answer:
12/88 Simplified:3/22
Step-by-step explanation:
you just multiply the numerator but the numerator and then denominator but the denominator. Then you just simplify
Hope that helps:)
Complete the ratio table for Car A.
Answers
Answer:
The answer for miles driven is 100 for the first blank, 400 for the second blank, and 600 for the third blank. As you can see, that is how the pattern goes. The blank for Gallons of gas one is 12, and the blank for gallons of gas two is 20.
Step-by-step explanation:
3. There are 2 girls and 3 boys on a camping trip. What is the ratio of girls to boys on the trip? Choose all that apply. 2:3 2 to 5 2:5 2 to 3
Answers
Answer:
2:3
Step-by-step explanation:
5 in total as you subtract the dudes
The waiting time for a bus has a uniform distribution between 2 and 13 minutes. What is the probability that the waiting time for this bus is less than 4.5 minutes on a given day
Answers
Answer: 0.2273
Step-by-step explanation:
Probability density function for uniform distribution is given by :-
[tex]f(x)=\dfrac{1}{b-a}[/tex], where x is uniformly distributed in [a,b].
Let x denotes the waiting time for this bus.
Given : The waiting time for a bus has a uniform distribution between 2 and 13 minutes.
Probability distribution function of x for interval [2,13] will be :-
[tex]f(x)=\dfrac1{13-2}=\dfrac{1}{11}[/tex]
Required probability : P(x<4.5) = [tex]\int^{4.5}_{2}f(x)\ dx[/tex]
[tex]=\int^{4.5}_{2}\dfrac1{11}\ dx\\\\=\dfrac1{11}[x]^{4.5}_{2}\\\\ = \dfrac1{11}(4.5-2)\\\\=\dfrac1{11}(2.5)\approx0.2273[/tex]
Hence, the probability that the waiting time for this bus is less than 4.5 minutes on a given day = 0.2273
turn -2x+4y=0 into slope-intercept form
Answers
An air conditioning system can circulate 420 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
Answers
Answer:
15.5556 cubic yards
Step-by-step explanation:
A yard is equal to three feet. Divide the volume value by 27 (3 cubed).
Usually Holly leaves home to school at 9:00, however today she left home 20 minutes later. In order to be at school on time she increased her usual speed by 20% and still was at school 15 minutes later than usual. What is her usual time from home to school
Answers
Answer:
Her usual time from home to school is 30 minutes
Step-by-step explanation:
At any point in time;
distance = speed * time
Here, we want to calculate the normal time she spent going from home to school
Let the normal time be x minutes
And the normal speed be t m/min
Today, she increased her speed by 20%
Her speed today will be t + 20/100 * t =
1.2t m/min
Her distance from how to school normally is
xt meters
Now what this means is that, at the increased speed, she was able to get to school 5 minutes earlier
What we are saying is although, she lost 20 minutes initially, she was able to beat down the lateness by 5 minutes
So, the time spent on her increased speed journey is;
(x-5) minutes
At any point in time, the distance will be equal;
Thus, mathematically;
xt = 1.2t(x-5)
xt = 1.2xt - 6t
6t = 1.2xt-xt
6t = 0.2xt
t cancels out
0.2x = 6
x = 6/0.2
x = 30 minutes
Several members of a running club would like to survey the rest of the members to determine which 5K races the club should enter. They decide to use a random number table to sample 10 of the 78 members. Which of the following correctly labels the population?
A.) 0–78
B.) 1–78
C.) 00–78
D.) 01–78
Answers
Answer:
D
Step-by-step explanation: edge 2021
Which ratios form a proportion?
A) 4/10 and 10/25
B) 4/9 and 9/4
C) 3/5 and 9/25
D) 4/11 and 6/13
Answers
These rations form a proportion.
The question is:
Which calculation and answer show how to convert 13/16 into a decimal
Answers
Answer:
I think the answer is D
Step-by-step explanation:
Answer is D, because if you divide 13 and 15 it gives you 0.8125
A company wants to test clear deck sealants for weather resistance. Three brands of sealants will be tested using 60 pieces of decking wood. The company wants to create treatment groups of 20 pieces of wood each, and decide to randomize using slips of paper. Select all the approaches that would result in comparable treatment groups. The numbers 1, 2, and 3 are each written on 20 slips of paper, and the slips are placed in a hat and shaken well. The top piece of wood from a stack is selected and a slip of paper is drawn from the hat. That piece of wood is assigned to the group number on the slip. The slip of paper is returned to the hat. This continues until all pieces of wood have been assigned to a group. The numbers 1, 2, and 3 are written on three slips of paper, put into a hat, and shaken well. A slip is drawn and the first 20 pieces of wood on the stack are assigned to the group number on the slip. Another slip is drawn and the next 20 pieces of wood are assigned to that group. The remaining pieces of wood are assigned to the remaining group. Each piece of decking wood is assigned a number from 1 to 60. The numbers 1–60 are written on slips of paper and placed in a hat and shaken well. Twenty slips are drawn, shaking the hat after each slip of paper is drawn, and the pieces of wood corresponding to those numbers are placed in group 1. Twenty more slips are drawn in the same way, and the pieces of wood corresponding to those numbers are placed in group 2. The pieces of wood corresponding to the numbers on the remaining slips are placed in group 3. The numbers 1, 2, and 3 are each written on 20 slips of paper (20 for each number) and the slips are placed in a hat and shaken well. The top piece of wood from a stack is selected, and a slip of paper is drawn from the hat. That piece of wood is assigned to the group number on the slip. The slip of paper is not returned to the hat. This continues until all pieces of wood have been assigned to a group.
Answers
Answer:
The Answer is C and D
Step-by-step explanation:
Just did it
Raul is considering three different
Answers
Answer:
WHAT?!
Step-by-step explanation:
What is the slope of a line parallel to y=2x + 3
Answers
Answer:
2
Step-by-step explanation:
The slope of the line with equation y=2x+3 is 2 . So, any line parallel to y=2x+3 has the same slope 2 .
Hello!
Parallel lines have the same slope. So if one line has a slope of 2, the line parallel to it has a slope of 2 as well.
Therefore, the slope is 2. Hope it helps.
If you have any questions, feel free to ask.
~A forlorn teen
[tex]MagicalNature[/tex]
Write the following number in scientific notation:
4, 332
Answers
4.332 x 10³
Step-by-step explanation:
hope it helps!
A publisher reports that 55% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 280 found that 51% of the readers owned a laptop. Make the decision to reject or fail to reject the null hypothesis at the 0.05 level.
Answers
Answer:
We fail to reject the null hypothesis, we accept H₀
Step-by-step explanation:
Population proportion p₀ = 55 % p₀ = 0,55
Sample size n = 280
Sample mean p = 51 % p = 0,51 q = 0,49
n*p and n*q are both bigger than 10 therefore we can approximate the binomial distribution to a normal distribution
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p ≠ p₀
Significance level is α = 0,05 but we have a two-tail test then
α/2 = 0,025
z(c) = - 1,96
Computing z(s)
z(s) = ( p - p₀ ) / √(p*q)/n
z(s) = ( 0,51 - 0,55 ) / √(0,51*0,49)/280
z(s) = - 0,04 * 16,73 / 0,5
z(s) = - 1,34
Comparing
z(s) and z(c)
- 1,34 < - 1,96
| z(s) | < | z(c)|
Then z(s) is in the acceptance region, we accept H₀
Which of the following rational numbers is equal to that? please help quickly
Answers
Answer:
31/9. you have to count by nines, get three whole numbers which are not fractions, and you are left with 4. and a whole 3 plus 0.4 = 3.4 hope that helps homie
H/7 =27 can some one answer this pls
Answers
Answer:
h=189
Step-by-step explanation:
solve for H by simplifying both sides of the equation, then isolating the variable.
hope this helped
Select all of the solutions to the equation below.
12x2=24
−23–√
23–√
−2–√
2–√
−2
2
Answers
Answer:
12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24
Step-by-step explanation:
12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24
One card is selected at random from a deck of cards. Determine the probability that the card selected is a card greater than 3 and less than 8.
Answers
Answer:
4/13
Step-by-step explanation:
Count all cards that are 4, 5, 6, and 7 (each of 4 different suits) so the number of cards that is greater than 3 and less than 8 = 4(4) = 16.
There are 52 cards in a standard deck of cards.
P(greater than 3 and less than 8)
= 16/52
= 4/13
The distance between -18 and 15 is equal to ______.
A. 18 - 15
B. 15 - 18
C. -18 - 15
D. 15 - (-18)
Answers
Answer:
It would be equal to 15 - (18)
Answer:
it would actually be (B)
hi can you tell me whether a appeal must be filed within 6 months of a claim determination. its medical billing chapter 18
Answers
Answer: Decisions and Determinations -If a Medicare appeal request does not result in a dismissal, adjudication of ... dismissal by providing an explanation for the late filing to the MAC within 6 months of the dismissal of the.
Step-by-step explanation:g brain
I need help with this
Answers
Answer:
x = 24.52
Step-by-step explanation:
Since this is a right triangle, use Pythagorean Theorem to solve for the hypotenuse.
Pythagorean Theorem: a² + b² = c²
24² + 5² = x²
576 + 25 = x²
601 = x²
√601 = x