Answer:
3,984,896 rounded to the nearest hundred is 3,984,900
Given the right angle triangle shown here, calculate:
1. a) sin(a)
17
2. a) sin(b)
8
b) cos(a)
b
b) cos(b)
15
c) tan(a)
c) tan(b)
Write trig. ratios for each.
Answer:
see explanation
Step-by-step explanation:
(1)
(a)
sin(a) = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]
(b)
cos(a) = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{17}[/tex]
(c)
tan(a) = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{15}{8}[/tex]
----------------------------------------------------
(2)
(a)
sin(b) = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{17}[/tex]
(b)
cos(b) = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]
(c)
tan(b) = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{15}[/tex]
What is the unit price for an ounce of coffee if a 120-ounce package costs $9.60?
O $0.08 per ounce
O $0.80 per ounce
O $1.25 per ounce
O $110.40 per ounce
Answer:
0.08
Step-by-step explanation:
The measure of ∠XZY is 55°. Which other
angle has a measure of 55°? Explain
Use the information from Problem 2. Find the
value of n.
Answer:
1) <SZR
2) n=40
Step-by-step explanation:
Sorry I can't explain but I got these answers from the teacher's notes.
The hypotenuse of a right triangle is 13 m long. The shorter leg is 7 m shorter than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: m Length of the longer leg: m Length of the hypotenuse: m
Answer: Shorter: 5 m Longer: 12m Hypotenuse: 13 m
Step-by-step explanation:
a website would like to test the hypotheis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched onlinevideos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. The website owners would like to set =.02 what is the conclusion for this hyptohesis test
Answer:
The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.
Step-by-step explanation:
A website would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes.
At the null hypothesis, we test if the mean is of 8 minutes, that is:
[tex]H_0: \mu = 8[/tex]
At the alternate hypothesis, we test if the mean is of more than 8 minutes, that is:
[tex]H_a: \mu > 8[/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.
8 is tested at the null hypothesis:
This means that [tex]\mu = 8[/tex]
A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes.
This means that [tex]n = 37, X = 8.7, \sigma = 2.5[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{8.7 - 8}{\frac{2.5}{\sqrt{37}}}[/tex]
[tex]z = 1.70[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 8.7, which is 1 subtracted by the p-value of z = 1.7.
Looking at the z-table, z = 1.7 has a p-value of 0.9554
1 - 0.9554 = 0.0446
The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.
Which of the following pairs of triangles can be proven similar through SSS similarity?
Answer:
d
Step-by-step explanation:
The ΔDGF and ΔABC can be proven similar through SSS similarity. Therefore, option D is the correct answer.
We need to find which of the given pairs of triangles can be proven similar through SSS similarity.
What is SSS similarity?If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.
Now, form option D.
DF/AB=DG/AC=FG/BC
⇒8/2=10/2.5=11/2.75
⇒4=4=4
Thus, ΔDGF and ΔABC are similar.
Therefore, option D is the correct answer.
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If the regular price of an item is x dollars, what is the discount price in
dollars?
7.b
The price of the is x dollars is $
Answer:
x/regular price=y
1-y=discountx100
Step-by-step explanation:
Two functions are shown in the table below.
Function - 1,2,3,4,5,6
f(x) = −x2 + 4x + 12
g(x) = x + 8
Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).
x = 6
x = 3
x = 5
x = 4
Answer:
[tex](d)\ x = 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -x^2 + 4x + 12[/tex]
[tex]g(x) = x + 8[/tex]
Required
Find x such that: [tex]f(x) = g(x)[/tex]
This gives:
[tex]-x^2 + 4x + 12 = x+8[/tex]
Collect like terms
[tex]-x^2 + 4x -x + 12 -8=0[/tex]
[tex]-x^2 + 3x +4 =0[/tex]
Expand
[tex]-x^2 + 4x - x+4 =0[/tex]
Factorize
[tex]x(x - 4) - 1(x-4) = 0[/tex]
Factor out x - 1
[tex](x- 1)(x - 4)=0[/tex]
Solve:
[tex]x =1\ or\ x = 4[/tex]
Please helppppppppppppppppppp
Answer:
50 feet
Step-by-step explanation:
Perimeter is the sum of all of the lengths of the sides.
A triangle has three sides, and three lengths are given, therefore all the sides are given.
The sum of the sides is 20 + 20 + 10 = 50
So the Perimeter is 50 feet
Answer:50
Step-by-step explanation:20+20+10=50
A race is 5 kilometers long. Harold ran 3/4 of the race. How many kilometers did Harold run? PLEASE HURRY
Answer:
3.75
Step-by-step explanation:
I took a test and that was the answer
Harold ran 3.75 kilometers in 5 kilometers long race.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
Given, a race is 5 kilometers long.
Harold ran 3/4 of the race.
To find the numbers of kilometers, Harold run
That means,
we multiply 3/4 to the total race's length.
Required length
= 5 x 3/4
= 15/4
= 3.75
Therefore, Harold ran 3.75 kilometers.
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Emily earns $15 for each car she washes. Create an equation to represent the relationship between the number of cars washed, C, and the amount, in dollars, Emily earns, m.
Answer:
An equation is c = 15m
Step-by-step explanation:
3+6+2=61
2+8+3=31
4+7+4=42
5+6+4=62
8+7+4=?????
Answer:
6mm AR, a 6 mm wildcat version which shares 6.5 Grendel's casing, but sends a (usually) lighter projectile up to 1,000 yards (900 m). 6.5×42mm, also known as 6.5 MPC (Multi Purpose Cartridge), based on a necked up .223 Remington case.
Step-by-step explanation:
Answer: 19
Step-by-step explanation:
8+7+4
8+7=15
15+4=19
1) The lines A and B are parallel. Identify a pair of corresponding angles?
A) ∠ 1 and ∠ 6
B) ∠ 3 and ∠ 8
C) ∠ 6 and ∠ 5
D) ∠ 5 and ∠7
2) If 25 measures 110°, what is the measure of ∠ 2?
-0)
A) 55°
B) 70°
C) 110°
D) 160°
Calculator
What is the value of n?
Enter your answer in the box.
Answer:
168
Step-by-step explanation:
168+8+4=180
Write the following inequality in slope-intercept form. 6x+2y≤46
Answer:
y ≤ -3x + 23
Step-by-step explanation:
1. 6x + 2y ≤ 46
•subtract “6x” from both sides to isolate the “y” variable
2. 2y ≤ 46 -6x
•divide both sides by “2”
3. y ≤ 23 -3x
•reorder the terms so it fits the “y = mx + b” slope-intercept format
4. y ≤ -3x + 23
Most people complain that they gain weight during the December holidays. To find out how much, we sample the weights of 23 adults in mid-November and again in early to mid-January. The mean weight change for the sample was a gain of 1.64 lbs., with a standard deviation of the differences of 8.73 lbs. Find a 88% confidence level for the average weight gain.
Answer:
The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 23 - 1 = 22
88% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.88}{2} = 0.94[/tex]. So we have T = 1.6176
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.6176\frac{8.73}{\sqrt{23}} = 2.94[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.64 - 2.94 = -1.30 lbs
The upper end of the interval is the sample mean added to M. So it is 1.64 + 2.94 = 4.58 lbs
The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.
Answer: CANNOT DO
Step-by-step explanation:
The sample size is less than 30 and it does not specifically state that it is normally distributed, so you cannot compute the answer.
A piece of wood has the dimensions shown. What is the area of the piece of wood?
21 m
2 m
9 m
10 m
12 m
Help pls
Use the model to find the product of 0.5 x 0.6.
A)
0.27
B)
0.30
C)
0.33
D)
0.35
Answer:
0.3
Step-by-step explanation:
0.5 is equal to 1/2, so 1/2 x 0.6 = 0.3
Mr.sol records the daily high temperatures for a week. He creates the box plot below to display his data.
Complete question is attached below :
Answer:
40, 66, 55, 70, 80, 58, 65 - option B
Step-by-step explanation:
From the boxplot attached ;
We could deduce that the least temperature is denoted by the starting point of the whisker, which is 40
The maximum temperature, is the 80, denoted by end of the end whisker.
The median is the value in the middle of the box which is 65
Lower quartile being 55 and upper quartile being 70
Hence, From the options given, the most appropriate answer will be :
40, 66, 55, 70, 80, 58, 65 - option B
IF ARRANGED IN ASCENDING ORDER, we'll have 40, 55, 58, 65, 66, 70, 80
help with 6grade math
Plz help me well mark brainliest if correct....?.?.?.?
This question has had me confused for about an hour, please help
write the number that is 100 times greater than 1.86
I WILL GIVE BRAINLIEST IF YOU HELP
A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long, 7.5 meters wide, and 5.6 meters high. What is the volume, round to the nearest cubic meter, of the aquarium?
A. 280
B. 623
C. 1288
D. 962
Answer:
D. 962
Step-by-step explanation:
The volume of a rectangular prism is the length x width x height.
22.9*7.5*5.6=961.8
961.8 rounds up to 962
What is the value of 0.5–0.05? Write your answer as a fraction in lowest terms.
Answer:
Heyaaa!!! I'm Pinky!! And i'm here to inform you that you're answer is...
Step-by-step explanation:
!!!
0.5–0.05= 0.45
0.45 In fraction form is Simply:
9/20 (And that's on lowest terms!)
If you would want it in percentage form to that would simply be:
45%
Have A Nice Day!!!!
~Pinky~
The value of 0.5–0.05 is a fraction in the lowest terms = 9/20.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written as the form of p: q, which is equivalent to p / q.
The given expression is: 0.5–0.05
Subtract 0.05 from 0.05
0 . 5 0
-0. 0 5
0 . 4 5
So, 0.5–0.05 = 0.45
Multiply and divide by 100 we get,
[tex]0.45\times \dfrac{100}{100} = \dfrac{45}{100}[/tex]
Divide both the numerator and denominator by 5 we get,
[tex]\dfrac{45}{100} = \dfrac{9}{20}[/tex]
Hence,
0.5–0.05 in the lowest fraction is 9/20.
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Mark bought a plasma TV for $2,499 on the installment plan. He paid a down payment of $300 and agreed to pay $101.50 a month for the next 24 months.
How much will he pay in all for the TV?
$2,499
$2,635
$2,736
$2,850
Soren's favorite cereal is on sale. A 20-ounce box costs $4.59. A smaller, 12-ounce box costs $2.52. Complete the statements to describe which box costs less per ounce.
Answer:
The smaller box, 12 oz, costs less per oz than the larger 20 oz box.
Step-by-step explanation:
$4.59 divided by 20 = $0.2295 per oz
$2.52 divided by 12 = $0.21 per oz
a triangle has an area of 72 unites squared the base is 4 units tall how tall is the height
Answer:
h = 36 units
Step-by-step explanation:
A = 1/2bh
72=1/2(4)h
72=2h
h=36 units
HELP HELP HELP I NEED HELP
Answer:
b
Step-by-step explanation:
cause it a circle and it will need a little more then the number it is
Here is a list of numbers:
20, 13, 1, 13, 6, 1,8,20,9,18
State the median.
Answer:
6
Step-by-step explanation:
The median is the middle of the data, or the middle number in a given set of numbers.