Answers
C. 5/3 (5 sqrt 3) (8.66...)
Explanation:
You would use the SohCahToa to find out side x.
First, label your sides (10 is hypotenuse, x is the opposite, and blank side is the adjacent).
Second, figure out which part you have to use (Sin, Cosine, or Tangent). A good way to tell is of you have the missing side on top of the fraction, makes things easier.
Third, once you figure that out then plug stuff in...
Sin(theta) = O/H
Sin(60) = X/10
10sin(60) = X
8.66... = X
Related Questions
Hall and rey are seeing who can make the most money working their new summer jobs. Rey made $154.21 in the first month. If hall finishes the summer with $313.06, how many hours at a rate of $8.04 per our, does rey need to work to make more than hall
Write an inequality that represents the situation using x to represent the hours
Answers
Answer:
x564.99
Step-by-step explanation:
300 paper cups in a dispenser the cups are taken from dispenser at rate at rate of 40 cups per hour
Answers
Answer:
i dont know i dont understand the question
A triangle has side lengths of 16cm, 63cm, and 65cm. Classify it as acute, obtuse or right.
Please helpppp!!!
Answers
9514 1404 393
Answer:
right
Step-by-step explanation:
If you're going to be in the business of classifying triangles based on side lengths, it can be useful to know there is a "form factor" that can help. For sides a, b, c, with long side 'c', it is computed as ...
f = a² + b² - c²
It has the following interpretation with respect to triangle shape:
f > 0 . . . acute
f = 0 . . . right
f < 0 . . . obtuse
__
In this case, we have ...
16² +63² -65² = 256 +3969 -4225 = 0
The triangle is a right triangle.
_____
Additional comment
When the triangle is a right triangle, this is equivalent to a statement of the Pythagorean theorem: c² = a² + b².
For triangles of other shapes, the interpretation is consistent with the Law of Cosines. When the form factor is divided by 2ab, the result is the cosine of the largest angle. That is why >0 means acute and <0 means obtuse.
Omar is born weighing 8 pounds,3 ounces.The doctor says he should gain a about 5 ounces each week for the next 4 weeks.How much should Omar weigh after 4 weeks?
Answers
week 1 - 8.8
week 2 - 8.13
week 3 - 9.03
week 4 - 9.08
So, the Omar should weigh 9 pounds 8 ounces by the end of 4 weeks.
I hope this helped!
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
Angle HGD and HGI are adjacent angle
hope it helps
Description
Adjacent angles are two angles that have a common vertex and a common side but do not overlap.
PLEASE HELP!!!!!! I WILL MARK YOU BRAINIEST
Answers
Answer:
Measure of angle b is 42 degrees
Step-by-step explanation:
Since angle b is part of a right angle, we can see that part of the right and blue is 48 degrees, and the other part is b. So, we can do 90-48 to get 42 degrees.
Answer:
42
Step-by-step explanation:
since one of the lines for angle b makes a 90° angle all you have to do is subtract 48 from 90 and that is your answer
In the book Chances: risk and odds in Everyday Life, author James Burke says that approximately 57% of the general US population wears glasses or contacts. If two people are chosen at random from the US population, what is the probability that both wear glasses or contacts?
Answers
Answer:
[tex]Pr = 32.49\%[/tex]
Step-by-step explanation:
Given
Let E represents the event of wearing glasses or contacts.
So;
[tex]P(E) =57\%[/tex]
Required
The probability that selected 2 wears glasses
This is calculated as:
[tex]Pr = P(E)\ and\ P(E)[/tex]
[tex]Pr = P(E)\ *\ P(E)[/tex]
[tex]Pr = 57\% * 57\%[/tex]
[tex]Pr = 0.57 * 0.57[/tex]
[tex]Pr = 0.3249[/tex]
[tex]Pr = 32.49\%[/tex]
Help please
No file links!
Brainliest
Answers
Answer:
Bottom right does not belong.
Step-by-step explanation:
The bottom right chart does not belong.
It does not calculate the formula correctly after the first time:
y = 2/3x
y = 2/3(4)
y = 8/3
y = 2.66666...7
In the picture, it shows y = 4 instead which is untrue. When looking at the top left picture, the graph also shows that when x = 4, y = 2.66666...7.
The bottom left picture fits in because it's counting by 1's in gallons of lemonade and by 1.5's in cups of sugar. The graph is also counting by these numbers.
If 200 customers buy 45 desserts at your store, how
many desserts can you expect to sell to
500 people?
NO LINKS
Answers
Answer:
113
Step-by-step explanation:
200 Customers = 45 Desserts
1 Customer = 45/200= 0.225 Desserts(Approx)
500 Customers= 0.225*500 = 113 Desserts(Approx)
(Photo is part one)Malik also adds the following ingredients. How many cups of each
did he add? Show each step of your solution.
• 28 tablespoons of sugar
• 6 tablespoons of cocoa powder
Answers
Answer:
Step-by-step explanation:
what are we looking for?/
What is the scale factor of the dilation shown?
Answers
Answer:
A) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Fill in the boxes to make a true statement. (_-3i)-(15+_i)=7-12i
Answers
Answer:
blank space=[tex]\frac{31}{2}[/tex]+[tex]\frac{13i}{2}[/tex]
The empty boxes which make the equation true are (22 -3i) - (15 + 9i)
= 7 - 12i.
What are complex numbers?As the name suggests it is a combination of real numbers and imaginary numbers.
A complex number (a + ib) where a is the real part and b is the imaginary part.
'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.
Given, (_ -3i) - (15+_i) = 7 - 12i.
Assuming the real number to be 'a' and the imaginary number to be 'b'.
∴ (a - 3i) - (15 + bi) = 7 - 12i.
a - 3i - 15 - bi = 7 - 12i.
On comparing the real and imaginary parts we get,
a - 15 = 7.
a = 22,
- 3i - bi = - 12i.
- bi = - 9i.
b = 9.
learn more about complex numbers here :
https://brainly.com/question/10251853
#SPJ2
Mike, Tania, Bill, and Rachael each took many samples from the same
population of students. The number of students in each sample is shown in
the table. Which person's sampling distribution is most likely to closely
approximate the population distribution?
Person taking samples Students in each sample
Mike
79
Tania
23
Bill
37
Rachael
51
A. Tania
B. Mike
C. Bill
D. Rachael
Answers
Answer: Mike!
Step-by-step explanation:
Show
that (2+√3)(2-√3)(5+root2)
(5-root2) is rational number.
Answers
Answer:
(2+3)(2−3)(5+2)(5−2)=>(22−(3)2)(52−(22))=>(4−3)(25−2)=>(1)(23)=>23
(5-√2)=(2^2-√3^2)(5^2-√2^2)=(4-3)(25-2)=23 and 23 is rational number
Compare areas: the side of a square is 14 m long. If all four size increased by 5, how my how much is the area increase?
The areas from _____ m^2 to _____ m^2, which is an increase of _____ m^2.
Answers
9514 1404 393
Answer:
196361165Step-by-step explanation:
The original side length is 14 m, so the area is (14 m)² = 196 m².
The longer side length is 14 m + 5m = 19 m, so the area is (19 m)² = 361 m².
The increase in area is ...
361 m² -196 m² = 165 m²
The area increases from 196 m² to 361 m², which is an increase of 165 m².
Answer:
The areas from 196 m² to 361 m², which is an increase of
165 m²
What is the perimeter of the shaded part of this??
Answers
Answer:
18.9cm ( I rounded of and used Π as 3.14)
Step-by-step explanation:
P=distance all round
=1\2ΠD +Πd
see you have to calculate the upper length of the circle , since its half u multiply by a half. And since its not fully shaded the two semi circles are now included as the lower part of the whole shape. so you add them too. (I hope I'm making sense)
Someone please help me answer this!!
Answers
Answer:
c = 53 miles
Step-by-step explanation:
a^2 + b^2 = c^2
45^2 + 28^2 = c^2
2,025 + 784 = c^2
2809 = c^2
c = 53
what is the equation for the volume of a cylinder? I think is v=pi × r^2 * h just asking for clarification
Answers
Answer:
V=pi multiplied by r^2 times height
Step-by-step explanation:
pair of
onding angles.
2. WHICH ONE DOESN'T BELONG? 2-6
Answers
Answer:
2. Measure 5
3. lines m and n are parallel
4. line t is transversal
5. 8 angles are formed by transversal
6. 1, 3, 5, 7 are congruent. 2, 4, 6, 8 are congruent.
According to the AAA Foundation for Traffic Safety's American Driving Survey, U.S. drivers spend.
on average, 51 minutes behind the wheel each day. A researcher believes this is an overstatement.
To investigate, a random sample of 75 drivers were selected. The study revealed that the mean
time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of
18.8 minutes. Is there convincing evidence that the mean time behind the wheel for all U.S. drivers
is less than 51 minutes? Use a = 0.01.
Answers
Answer:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
Step-by-step explanation:
U.S. drivers spend on average, 51 minutes behind the wheel each day.
This means that at the null hypothesis we test that:
[tex]H_{0}: \mu = 51[/tex]
Is there convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes?
This means that the alternate hypothesis is:
[tex]H_{a}: \mu < 51[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
51 is tested at the null hypothesis:
This means that [tex]\mu = 51[/tex]
The study revealed that the mean time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of 18.8 minutes.
This means that [tex]n = 75, X = 46.4, \sigma = 18.8[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{46.4 - 51}{\frac{18.8}{\sqrt{75}}}[/tex]
[tex]z = -2.12[/tex]
Pvalue of the test:
The pvalue of the test is the probability of finding a sample mean less than 46.4, which is the pvalue of z when X = 46.4.
Looking at the z-table, z = -2.12 has a pvalue of 0.017.
Decision:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
No, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Given the following data:
Mean = 51.Number of drivers = 75 drivers.Sample mean (mean time) = 46.4 minutes.Standard deviation = 18.8 minutes.What is a null hypothesis?A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.
For the null hypothesis, we would test that:
[tex]H_o : \mu =51[/tex]
For the alternate hypothesis, we would test that:
[tex]H_a : \mu < 51[/tex]
The test statistics would be calculated with this formula:
[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.[tex]\delta[/tex] is the standard deviation.n is the number of drivers.Substituting the given parameters into the formula, we have;
[tex]Z=\frac{46.4\;-\;51}{\frac{18.8}{\sqrt{75} } }\\\\Z=\frac{-4.6}{\frac{18.8}{8.6603} }\\\\Z=\frac{-4.6}{2.1708 }[/tex]
Z = -2.12.
What is a p-value?In Statistics, a p-value also known as the probability value is the probability which occurs when the null hypothesis ([tex]H_0[/tex]) is true of obtaining a sample mean that is at least as unlikely as what is observed by a researcher or scientist.
From the z-table, a z-score of -2.12 corresponds to or has a p-value of 0.017. Therefore, the p-value for this test is 0.017 > 0.01.
In conclusion, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Read more on null hypothesis here: https://brainly.com/question/14913351
Which property can be used to solve the equation?
d/10=12
A. addition property of equality
B. subtraction property of equality
C. multiplication property of equality
D. division property of equality
Answers
Answer:
C
Step-by-step explanation:
You are dividing, if you think about it every time I do it is the opposite of your equation. Plus you are supposed to multiply on both sides to get the value of d.
I know it small but can someone help me. It says The table below shows customers' favorite ice cream flavors at a popular ice cream shop, The North Pole. Which relative frequency table and percent bar graph best represents the favorite ice cream flavors for customers at The North Pole ice cream shop?
Answers
Answer:
Graph AStep-by-step explanation:
We know it must be graph A because when finding the most popularly bought item, the percentages only can go to 100%
So graphs C and D are eliminated.
Also since it never said any flavors were unknown, all the percents have to add up to 100%
So graph B is eliminated.
Only graph A follows the requirements
ASAP SHOW WORK PLEASE
Answers
Answer:
1) 5 in, 12 in, 13 inStep-by-step explanation:
1)
5² + 12² = 13²25 + 144 = 169169 = 169Yes2)
5² + 7² = 9²25 + 49 = 8174 ≠ 81No3)
10 + 12 < 30, there is no possible triangle with given sides as per triangle inequality theoremIn ΔKLM, m = 480 cm, k = 360 cm and ∠L=29°. Find the area of ΔKLM, to the nearest square centimeter.
Answers
Answer:
The answer is=
41887.551
give the correct triangle congruence theorem
Answers
5/x=7/x-4
pls help me with this problem if u help i willl heart and follow you
Answers
Answer:
5/x = 7/x-4
5(x-4) = 7(x)
5x - 20 = 7x
5x - 7x = 20
-2x = 20
x = -20/2 = -10
Which of the following is the measure of an acute angle?
A. 89°
B. 270°
C. 97°
D. 122°
Answers
Answer:
A
Step-by-step explanation:
An acute angle is an angle that is less than 90 degrees.
Answer:
Step-by-step explanation:
A
What size is a standard margin?
a.
1.5 inches
c.
.5 inches
b.
2 inches
d.
1 inch
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer: D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Is 2/9 a perfect square
Answers
A container has a volume of 3.6 m3 . Convert the volume into cm3 .
Answers
Answer: 3 600 000 cm³
Step-by-step explanation: 1 m³ = 1000 dm³ = 1 000 000 cm³