Answers
Answer/Step-by-step explanation:
There are actually two methods that can be used to calculate AC (x):
1. Using Pythagorean Theorem
2. Using Trigonometric Function
1. Using Pythagorean Theorem, we have:
x = √(15² + 20²)
x = √625
x = 25 units
2. Using Trigonometric Function:
Reference angle = 37°
Adjacent = 20
Opposite = 15
Hypotenuse = x
Apply SOH:
Sin 37 = Opp/Hyp
Sin 37 = 15/x
x × Sin 37 = 15
x = 15/sin 37
x = 24.9246021 ≈ 25 units (nearest whole number)
Related Questions
How much water must be evaporated from 36 ounces of 1% salt solution to make 9% salt solution?
To obtain a solution that is salt,
nothing ounce(s) of water must be evaporated.
simplify
Answers
Answer:
8 ounces to be evaporated
Step-by-step explanation:
There are 2.52 oz of salt (36 * 0.07)
For 2.52 oz to be 9%, the total is 2.52 / 0.09 = 28 oz total
36 - 28 = 8 ounces
You want to buy some groceries there is a coupon that offers a %15 discount on your total bill your bill comes to $76 how much money will you save
Answers
Answer:
$64.6
Step-by-step explanation:
15% off $76 = -$11.4 = $64.6
A diver jumps off of a diving board and is modeled by the equation d(t)= -16t2 +8t + 30. How long will it take for her to reach the water?
Answers
Answer: (1/4,31)
Step-by-step explanation: Use the formula x = − b/2a a to find the maximum and minimum.
Suzanne bought a sweater at the sale price of $35. The original cost of the sweater was $50. What percent represents the discount that Suzanne received when buying the sweater?
Answers
Answer:
She got a 30 % discount
Step-by-step explanation:
Take the original price and subtract the new price
50 -35 = 15
Divide by the original price
15/50
.30
Multiply by 100 to get the percent
.30 * 100 % = 30 %
She got a 30 % discount
The length of a piece of ribbon is 250 millimeters.
Which is the equivalent length in meters?
Answers
Answer:
250 mm = 0.25 m
Step-by-step explanation:
Answer:
0.25m
Step-by-step explanation:
Solve Similar triangles
Solve for x.
x=?
Answers
Answer:
x = 2
Step-by-step explanation:
AB/BC = AD/DE
[tex]\frac{2}{1}[/tex] = [tex]\frac{2+x}{2}[/tex]
cross-multiply:
2+x = 4
x = 2
A surveyor leaves her base camp and drives 43km
on a bearing of 032 degrees. She then drives 28km
on a bearing of 154 degrees. How far is she then
from her base camp and what is her bearing from
it?
Answers
Answer:
1. The distance from the base camp is 37 Km
2. The bearing from the base camp is 72°
Step-by-step explanation:
Please see attached photo for explanation.
1. Determination of the distance from the base camp.
In the attached photo, x is the distance from the base camp. The value of x can be obtained by using the cosine rule formula. This is illustrated below:
Side opposite A = a = 28 Km
Side opposite C = c = 43 Km
Angle B = 58°
Side opposite B = b = x =?
b² = a² + c² – 2ac Cos B
x² = 28² + 43² – 2 × 28 × 43 Cos 58
x² = 784 + 1849 – 2408 × 0.52991
x² = 2633 – 1276
x² = 1357
Take the square root of both side
x = √1357
x ≈ 37 Km
Thus, the distance from the base camp is 37 Km.
2. Determination of the bearing from the base camp
We'll begin by calculating the value of θ in the attached photo. This can be obtained by using sine rule formula as shown below:
Side opposite A = a = 28 Km
Side opposite B = b = x = 37
Angle B = 58°
Angle A = θ =?
a/Sine A = b/SineB
28/Sine θ = 37/Sine 58
Cross multiply
37 × Sine θ = 28 × Sine 58
Divide both side by 37
Sine θ = 28 × Sine 58 /37
Sine θ = 28 × 0.8480 / 37
Sine θ = 0.6417
Take the inverse of sine
θ = Sine¯¹ 0.6417
θ = 40
Finally, we shall determine the bearing from the base camp. This can be obtained as follow:
Bearing from the base camp = 32 + θ
θ = 40
Bearing from the base camp = 32 + 40
Bearing from the base camp = 72°
(k + 3)by the power of 3
Answers
The population of a certain species of fish in a lake after t years is given by P(t)=18801 + 1.42e-0.037t. Find the horizontal asymptote. What does it represent in this situation?
Answers
Answer:
a) 188 fishes
b) 1259 fishes
Hope this helps!
Pls helpp It is due today
Answers
Answer:
$13.75
Step-by-step explanation:
d= 9.75
43 - 3(9.75) = 13.75
A music therapist was interested in investigating whether listening to music or composing music had an influence on both anxiety levels and oxygen saturation in children who were hospitalized for asthma-related illnesses. Thirty-two children spent 20 minutes listening to classical waltzes played on a piano. On a different day, they spent 20 minutes composing their own short pieces of music using a software program.
When listening to music: For the physiological measure, the critical value for t was larger than the test statistic for the observed data. For the anxiety measure, the critical value for t was smaller than the test statistic for the observed data.
When composing music: For the physiological measure, the critical value for t was larger than the test statistic for the observed data. For the anxiety measure, the critical value for t was larger than the test statistic for the observed data.
When writing the results of the music therapist's study, which of these statements reflects the correct conclusions that should be drawn from the results and then included as part of the interpretation paragraph?Question 8 options:
a) Music therapists should make pediatric asthma patients compose music in order to increase their oxygen saturation.
b) Music therapists should make pediatric asthma patients listen to music in order to reduce their anxiety.
c) Pediatric asthma patients should listen to music in order to increase their oxygen saturation.
d) Additional information is needed to draw a proper conclusion.
Answers
Answer:
The correct conclusion is;
d) Additional information is needed to draw a proper conclussion
Step-by-step explanation:
The given parameters are;
When listening to music;
Physiological measure Critical t > Test statistic Accept H₀
Anxiety measure Critical t < Test statistic Reject H₀
When composing music;
Physiological measure Critical t > Test statistic Accept H₀
Anxiety measure Critical t > Test statistic Accept H₀
When the test statistic is larger the critical 't'
Therefore, the test suggest that there is no difference between physiological and anxiety influence of composing music on pediatric asthma patients
There is sufficient statistical evidence to suggest that listening to music has an influence on the anxiety of pediatric asthma patients however, the nature of the influence is not specified and more information is needed to draw a proper conclusion
which number will make the two fractions equivalent? 6/7=?/21
Answers
Answer:
18
Step-by-step explanation:
multiply 6 by 3
Answer:
It's super duper easy
Step-by-step explanation:
6/7=x/21
x=21×6/7
x=18
What's the measure of angle B in degrees?
Answers
Answer:
angle B is 27 degrees.
Step-by-step explanation:
What is 7 x 5/8 because I’m so lost
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 4.375
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
35/8 or 4 3/8
Step-by-step explanation:
Step 1. Convert the expression
7 can also be seen as 7/1
Step 2. Multiply the fractions
7/1 × 5/8
you do this step by multiplying the numerators together for your top number, and your denominators together for your bottom number.
7×5= 35 (numerator)
1×8=8 (denominator)
the answer is 35/8 or 4 3/8 as a mixed fraction.
Find the value of f(-2) for the function f(x) = 4x + 10.
O A. -3
O B. -2
O c. 2
O D. 18
Answers
the value for the function is c
What do you call a rock music channel with no music?
Answers
Answer: Rock Silence? I dont know Rock No Music?
Step-by-step explanation:
Answer:
pure dead silence
Step-by-step explanation:
given f(x) = x^2 - 1 what is the value of f(10)
Answers
Step-by-step explanation:
f(10)=(10)²-1
f(10)=100-1
f(10)=99
I need to bring my math grade up !!! Does anyone know that answer
Answers
Answer:
2/5 of hangar a = hangar b
Step-by-step explanation:
When a trucker opens the back of a truck filled with candy bars,
he sees a wall 9 cartons high and 6 cartons wide with no room
left over. How wide is the back of a candy company truck?
Answers
Answer:6 cartons wide
Step-by-step explanation:
It is 6 cartons wide due to the fact that there is no room left over. Awnser achived through text.
Help with these ASAP
Answers
So 105=10x
Need help fast please
Answers
Answer:
Step-by-step explanation:
#1 is 24k^15
just add the #
#2 4096
4x4x4=64^2
64x64
=4096
Students at the local middle school are mixing a unique school color. The blue in the school
color is made by using 3 parts navy blue and 1 part white. Will each combination result in the
correct ratio of the school color? Select Yes or No.
O Yes O No
O Yes O No
A. į part navy blue, į part white
B. į part navy blue, in part white
C. part navy blue, į part white
D. } part navy blue, į part white
O Yes O No
O Yes O No
Answers
Answer:
A: No
B: Yes
C: Yes
D: No
Step-by-step explanation:
A: Navy is obviously the bigger ratio so A is wrong
B: If you multiply both values by 18 you get the 3:1 ratio
C: If you Multiply both values by 5, you get the 3:1 ratio
D: Like A, Navy is always going to be bigger so D is wrong
Quadratic equation x2+x+9=0
Answers
Answer:
2x+11
Step-by-step explanation:
because x+x=2x
2+9=11
Equation: 2x+11
Answer:
x= -1+- i√35/2(looks weird so I'll include an image)
Step-by-step explanation:
depends on what you wanted to do with this equation, but I'm going to assume you wanted to factor this.
(-b+- √b^2-4ac)/(2a)=
-1+- √1- 4(1)(9)/ 2=
-1+- √1- 36/ 2=
x= -1+- i√35/2
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
Answers
The formula for the area parallelogram is the same as rectangle.
[tex]\frac{14*10}{2}[/tex][tex]=70[/tex]
which one ??????????????????????????
Answers
Answer:
That if I do not know friend, sorry
How many degrees does it take a capterpillar to turn upright
Answers
it is at least 180 degrees
Which function below is a quadratic shifted left 2 and down 5?
A
f(x) = (x - 5)2 - 2
B.
f(x) = 2(x - 5)2
С
f(x) = (x + 2)2-5
D
f(x) = (x - 2)2 - 5
Answers
Answer: C: f(x)=(x+2)2-5
Step-by-step explanation:
Answer: c
Step-by-step explanation:
:)
Diego has run 4/5 of a race distance. He has run 7 2/3
Answers
“Diego has run 4/5 of a race distance. He has run 7 2/3 miles. How long is the race? Or “how many miles does he have left?”
How long is the race? = 9 7/12 miles
4/5x = 7 2/3
4/5x = 23/3
x = 23/3 • 5/4
x = 115/12
x = 9.58333
x = 9 7/12 miles
How many miles does he have left? = 1 1/12 miles
1/5 • 115/12 = 115/60 = 1.916666
= 1 55/60 = 1 11/12 miles
Let me know if I didn’t guess your question correctly and I will try to help more.
Expected rate of return and risk - B.J. Gautney enterprises is evaluating a security. One year treasury bills are currently paying 4.3 %. Calculate the investment's expected return and its standard deviation. Should Gautney invest in this security?
Probability/ return: 0.20/ -4%; 0.50/ 4%; 0.10/ 7%; 0.20/ 8%.
The investment's expected return is _% (round the two decimal places)
The investment's standard deviation is % (round the two decimal places)
Should Gautney invest in this security? (select the best choice below)
a) yes. B.J. Gautney Enterprices should invest in this investment because the return is lower than treasury bill and the level of risk higher than the treasury bill.
B) no. B.J. Gautney Enterprises should not invest in this investment because the return is lower than the treasury bill and the level of risk higher than the treasury bill.
Answers
Answer:
Step-by-step explanation:
[tex]\text{Investment's Expected Return} = (0.20 \times -0.04) + (0.50 \times 0.04) + (0.10 \times 0.07) + (0.20 \times 0.08) \\ \\ = (-0.008)+(0.02)+(0.007) + (0.016) \\ \\ \text{= 0.035}\\ \\ = 3.50\%}[/tex]
[tex]Var (r) = [(-0.04- 0.035)^2 * 0.2] + [(0.04 - 0.035)^2 * 0.5] + [(0.07 - 0.035)^2 * -0.10] + [(0.08 - 0.035)^2 * 0.20] \\ \\ = (-5*10^{-6} )+(1.25*10^{-5})+(-1.225*10^{-4}) + (4.05 \times 10^{-4}) \\ \\= 0.001665[/tex]
[tex]SD= \sqrt{Var} = \sqrt{0.001665}= 0.0408 \\ \\ =\mathbf{0.04 \ to \ 2 \ d.p}[/tex]
[tex]\text{B) no. B.J. Gautney Enterprises should not invest in this investment because the} \\ \\ \text{return is lower than the treasury bill and the level of risk higher than the treasury bill.}[/tex]
Aretha had 9 pencils. She gave her
sister 1/3 of the pencils. How many
pencils did Aretha give her sister?
Answers
Answer:
3
Step-by-step explanation:
9 divided by 3 is 3