Answer:
7 5/8
Step-by-step explanation:
5+2= 7 3/8+2/8=5/8 7+5/8=7 5/8
In the triangle below, what is the cosine of 45°? Someone please help ASAP
Answer:
B. 1/√2
Step-by-step explanation:
Soh Cah Toa
cos is adjacent over hypotenuse so from either 45° degree angle it is 1/√2
For the given right angle triangle, cos 45 = 1/√2
Hence, option B is correct.
In the given triangle,
Adjacent = 1
Hypotenuse = √2
Since we know,
The values of all trigonometric functions depending on the ratio of sides of a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.
For a right angled triangle,
Cosθ = adjacent / hypotenuse
Therefore,
cos 45 = 1/√2
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The table below shows Karen's distance during the marathon. What is a reasonable explanation for what happened between hours 2 and 3.
o
Karen ran backwards for an hour.
Karen ran 2 miles between hours 2 and 3.
Karen decided to rest and stopped running for an hour.
K aren ran at the same speed between hours 2 and 3.
rious
Answer:
C. Karen decided to rest and stopped running for an hour
Step-by-step explanation:
The line of the graph shows a horizontal line between hours 2 and 3 with a corresponding distance that remains the same on the y-axis. This simply means that, only the hours change but distance didn't change. Therefore, it can be concluded that after for 1 hour, Karen decided to stop over and rest.
Answer:
the answer is C
Step-by-step explanation:
0.135 written as a fraction is
Answer:
[tex] \frac{27}{200} [/tex]Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.
Hope it is helpful...1. how many cubic meters are in 250,000 cubic centimeters?
A. 0.025m³ B. 0.25m³ C. 2.50 m³ D. 25
2. the volume of an ordinary box is 3.5 m³. wxpress its volume in cm³?
A. 350 cm³ B. 35000 cm³ C. 3500000 cm³ D. 35000000 cm³
3. Write 1.6 dm³ in cubic centemeters.
A. 1.6 cm B. 16 cm³ C. 160 cm³ D. 1600 cm
4. What is 500dm³ in m³?
A. 0.005 m³ B. 0.05m³ C. 0.5 m³ D. 5 m³
Answer:
1) 1m³ is 100cm*100cm*100cm = 1,000,000cm³
so 250,00cm³ are just 0.25m³
2) looking at the conversion above, three point five million is correct
3) 1dm³ = 10cm*10cm*10cm = 1,000cm³
D, as in Dewey Duck
4) 1m³ = 10dm*10dm*10dm = 1,000dm³
see that it's C?
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
50,20,8
Find the 8th term.
Answer:
.082
Step-by-step explanation:
First find the common ratio
Take the second term and divide by the first term
20/50 = 2/5 = .4
Check with the third term divided by the second term
8/20 = .4
The formula for a geometric sequence is
an = a1 (r) ^(n-1) where a1 is the first term and r is the common ratio
=50 ( .4) ^ (n-1)
We want to find the 8th term
= 50 ( .4)^(8-1)
= 50 ( .4) ^7
=0.08192
Round to the nearest thousandth
= .082
Hope this help!!!
Have a nice day!!!
How many rows of seats are needed to seat 673 people at a concert when the rows seat 37 people each?
Answer:
18.189 rows
Step-by-step explanation:
673 / 37 = 18.189189189
Hope this helps!
Fifty percent of the customers who go to Sears Auto Center for tires buy four tires and 30% buy two tires. Moreover, 18% buy fewer than two tires, with 5% buying none.
a. What is the probability that a customer buys three tires?
b. Construct a cumulative probability distribution for the number of tires bought.
Answer:
A. Probability = 0.02
B. This is in a cumulative frequency table in the attachment I added
Step-by-step explanation:
A. We have these following probabilities
Prob(X=0) = 0.05
Prob(x= 2) = 0.30
Prob(X = 4) = 0.50
Prob(X < 2) = Prob(X=0) + prob(X=1)
0.18 = 0.05 + prob(X=1)
prob(X=1) = 0.13
A. Prob(x = 3)
= 1 - (0.05 + 0.13 + 0.30 + 0.50)
= 0.02
Probability of buying only 3 times = 2%
B. The cumulative frequency is in the attachment.
Ms. Jackson is making book bags for her class. She needs 2 2/3 yards of fabric for each book bag. If she
wants to make 10 book bags, how much fabric should she buy?
Answer:
26 2/3
Step-by-step explanation:
first you want to times the yards which gives you 20 yards.
next you times the 2/3 by 10 giving you 20/3 yards. the fraction converted into a mixed numeral is 6 & 2/3.
add both the 6 & 2/3 and the 20 which gives you 26 2/3
Answer:
26 2/3 is the answer.
Explanation:
Add the wholes first. That will give you 20. Then add the fractions. That will give you 20/3. When you write that in a mixed number, it will be 6 2/3. Add 20 with 6 2/3. That will give you 26 2/3 as the final answer.
When 390 junior college students were surveyed,115 said that they have previously owned a motorcycle. Find a point estimate for p, the population proportion of students who have previously owned a motorcycle.
a. 0.705
b. 0.228
c. 0.295
d. 0.418
Answer:
0.2948 ≅ 0.295
Step-by-step explanation:
According to the Question,
Given, 390 junior college students were surveyed,115 said that they have previously owned a motorcycle .So, the population proportion of students who have previously owned a motorcycle is 115/390 ⇔ 0.2948 ≅ 0.295
TRIGONOMETRY (RIGHT ANGLE) PLEASE HELP
Answer:
x = 41.05
Step-by-step explanation:
Given that,
In a right angles triangle,
Perpendicular height, P = 228
Angle 1 = 90°
Angle 2 = 47°
Angle 3 = 180-(90+47) = 43°
Using trigonometry to find x.
[tex]\sin\theta=\dfrac{P}{x}\\\\x=\dfrac{P}{\sin\theta}\\\\x=\dfrac{28}{\sin(43)}\\\\x=41.05[/tex]
So, the value of x is equal to 41.05.
A survey conducted by General Motors of 38 drivers in America, 34 indicated that they would prefer a car with a sunroof over one without. When estimating the proportion of all Americans who would prefer a car with a sunroof over one without with 99% confidence, what is the margin of error
Answer:
The margin of error is of 0.1282 = 12.82%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A survey conducted by General Motors of 38 drivers in America, 34 indicated that they would prefer a car with a sunroof over one without.
This means that [tex]n = 38, \pi = \frac{34}{38} = 0.8947[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
What is the margin of error?
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 2.575\sqrt{\frac{0.8947*0.1053}{38}} = 0.1282[/tex]
The margin of error is of 0.1282 = 12.82%.
Is 3 Liters equal to 300 mL. Is 3 yards equal to 12 feet. Is 3 tons equal to 9,000 lb
Answer:
3 Liters = 3000 ml
3 Yards = 12 feet
3 tons = 6000 lb.
Hope that this helps!
Answer:
3 Liters is equal to 3,000 mL
3 Yards is equal to 9 feet
3 Tons is 6,000 lbs
Step-by-step explanation:
Hope this helped!
which function is shown in the graph below?
Which expression is equivalent to 1/2x + 8
Answer:
1/2( x+16)
Step-by-step explanation:
1/2x + 8
Factor out 1/2
1/2*x + 1/2 *16
1/2( x+16)
Help me!! Which statement is correct?
Answer:
D option is correct
( At Q3 the market is wasting society's .. )
Pls Pls Pls help! Simplify the equation: [tex]\sqrt{\frac{1}{9} x^{2}y^{10}[/tex]
Solve for 2. Round to the nearest tenth of a degree, if necessary.
L
90
K
80
J
Answer:
41.6
Step-by-step explanation:
got it wrong and it showed me the right answer
Nancy is baking a cake. The recipe calls for seven cups of flour and three cups of sugar . She already put in 1/2 a cup of flour. How many more cups of flour does need to add? Write your answer in decimal form.
Answer:
6 1/2................
Write a word description of the set.
{1, 3, 5, 7, 9, 11, 13}
The set of odd natural numbers is less than
Answer:
if this is multiple choice then you forgot to give us the answers. the best answer i can give you is "the set of odd numbers is less than 15 because it does not exceed 13
A word description of sets is given below.
We have the following set - {1, 3, 5, 7, 9, 11, 13}.
We have to write a word description of set.
What is Set ?A set is a collection of elements or members, which can be mathematical objects of any kind for example → numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
According to the question, we have the following set -
{1, 3, 5, 7, 9, 11, 13}
The above set is written in Roster or enumeration notation with the members enlisted between the curly braces. This set consist of 7 elements and each element of this set can be determined using the following rule -
a(n) = 2n - 1
This also represents the set of odd positive integers.
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2x - 1 = 17...............
Answer:
x = 9
Step-by-step explanation:
2x - 1 + 1 = 17 + 1
2x = 18
(2x=18)/2
x = 9
Answer:
2x - 1 = 17
add 1 on each side --> 2x = 18
x = 9 because one divides 2 from each side and results to 9
Step-by-step explanation:
10 1/16ft + 8 3/8ft +1/2 ft
Answer:
18 15/16 ft
Step-by-step explanation:
what is the request here ?
to do the additions and bring all to one summary result of ft ?
I base my answer on this assumption.
10 1/16 = 161/16
8 3/8 = 67/8
1/2 = 1/2
note let's bring everything to 16th, so that we can actually add them.
161/16
67/8 = 134/16
1/2 = 8/16
161/16 + 134/16 + 8/16 = 303/16 = 18 15/16
cross check :
add all whole numbers first, and then add the remaining fractions too (need to bring them to 16th too).
10 + 8 = 18
1/16 + 3/8 + 1/2 = 1/16 + 6/16 + 8/16 = 15/16
together, 18 15/16
yeah, it is the same.
What is the slope of the line represented by the equation y = -1/2X + 1/4?
The difference between 8 and a number is 5.
Answer:
the answer is 3.
Step-by-step explanation:
Difference between means to subtract.
8 - 5 = 3
Answer:
8- a = 5
Step-by-step explanation:
In ΔDEF, the measure of ∠F=90°, ED = 25, DF = 24, and FE = 7. What ratio represents the sine of ∠D?
Answer:
39/89
Step-by-step explanation:
Answer:
7/25
Step-by-step explanation:
(sin) = opp/hyp
The average marks for 25 students in a mathematics was was 48.
what was the total marks scored by the students?
A student who scored 84 marks was absent.
what was would be the average of the remaining students?
Answer:
132
Step-by-step explanation:
48
+ 84
--------
132
_____
What is the slope and y-intercept of 6x-5y=13
Answer:
The slope is 6/5 and the y intercept is -13/5
Step-by-step explanation:
6x-5y=13
Solve for y
Subtract 6x from each side
6x-6x-5y=-6x+13
-5y = -6x+13
Divide by -5
-5y/-5 = -6x/-5 +13/-5
y = +6/5x -13/5
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 6/5 and the y intercept is -13/5
Mr. Akika has 33 18 cent and 32 cent stamps all told. The stamps are worth $9.02. How many of each kind of stamp does he have? Mr. Akika has 18 cent stamps and 32-сent stamps Enter your answer in each of the answer boxes.
Answer:
Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.
Step-by-step explanation:
Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:
10 x 0.18 + 23 x 0.32 = 9.16
11 x 0.18 + 22 x 0.32 = 9.02
Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.
I need Help Please asp!!!
9514 1404 393
Answer:
174.4 cm³
Step-by-step explanation:
The relevant volume formulas are ...
V = πr²h . . . . . cylinder of radius r and height h
V = 4/3πr³ . . . . sphere of radius r
__
Then the difference in volume between the cylinder and the 3 spheres is ...
ΔV = π(2.5 cm)²(14 cm) -3(4/3π(2 cm)³) = π(87.5 -32) cm³ = 55.5π cm³
The volume of air is about 174.4 cm³.
PLSS HELP ASAP!!!! I’ll give you 30 points!!!
Answer:
174.8 in²
Step-by-step explanation:
Shaded area = square area - circle area
---------------------
Square
a = 15 * 15
a = 225
Circle
a = π * 4²
a = 3.14 * 16
a = 50.24
------------------------
Shaded
a = 225 - 50.24
a = 174.76
Rounded
174.8 in²
What is the line of the slope below? the first answer gets brainliest. pls help asap