Answer:
120 degrees
Step-by-step explanation:
a straight line is 180 degrees, so 180-60
Is this correct? If not which is correct?
find the slope of the line between (1,4) and ( 3 , 10 )
Answer:
3
Step-by-step explanation:
slope of line = gradient of line
= [tex]\frac{10-4}{3-1}[/tex]
= 3
What is the completely factored form of this expression? 9x^3y - 100xy
Answer:
xy(3x+10)(3x-10)
4 in.
7 in.
O 124 6 in
87.9 in
O 97.5 in
O 78.9 in
5
6
7
Answer:
v=3.14 r 2 h
3.14 (2)(2)(7)= 87.9
Answer:
The answer for the Volume is 87.9 to 1d.p or 88in³ to the nearest tenth
Step-by-step explanation:
Volume of a cylinder =pir²h
r=d/2=4/2=2in
V=3.14×2²×7
V=3.14×4×7
V=87.92in³
V=87.9in³ to 1d.p
V=88in³ to the nearest tenth
max stores his paintbrushes in a box shaped like a rectangular prism. he can fill the bottom of the box with 48 one inch cubes. if the box is 4 inches tall,what is the volume
Answer:
192 inches^3 or 192 cubic inches
Step-by-step explanation:
48 one inch cubes means the base area is 48inches^2. 48inches^2 multiplied by 4 inches = 192inches^3
Answer: 192 square inches
Step-by-step explanation: it says that he can fill the bottom of the box with 48 once inch cubes, and since the cubes are an inch tall, the cubes would cover an inch of the box's height. The box's total height is 4, so you would need to multiply 4 by 48 to get the total number of cubes that can fit in the box, aka the volume of the box.
b. Why does using FOIL on polynomial expressions match so closely to integer
multiplication? Look closely at how the usual method works.
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport. What angle of depression does the airplane need to use to reach the runway?
Given :
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.
To Find :
What angle of depression does the airplane need to use to reach the runway?
Solution :
Let, angle of depression is [tex]\theta[/tex] .
So,
[tex]tan\ \theta = \dfrac{ Altitude \ in \ which \ plane \ is \ flying}{Horizontal \ Distance}\\\\tan \ \theta = \dfrac{37000}{5280}\\\\tan \ \theta = 7.00\\\\\theta = tan^{-1} 7\\\\\theta = 81.87^o[/tex]
Hence, this is the required solution.
Big math test I need help if I don’t I fail
How many different 4-digit PIN codes are there that only include the digits 5, 9, 6 and 2?
Answer:
256
Step-by-step explanation:
The digits can only be one of four numbers.
4*4*4*4 = 4^4 = 256
If point A, having
coordinates (p, 3) and
point B, with coordinates
(6, p) lie on a line having
a slope of 2, what is the
value of p?
gradient or slope=y2 -y1
x2 - x1
so for A, p is x1 and 3 is y1..
For B, 6 is x2 and p is y2
2= p - 3
6 - p
2 ( 6 - p) = p - 3
12 - 2p = p - 3
-2p + p = -3 - 12
-p = - 15
p = 15
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 23 f/s. The ball's height h (in feet) after t seconds is given by the following. Find all values of t for which the ball's height is 12 feet.
Answer:
Time taken = 0.85 and 0.59 (Approx.)
Step-by-step explanation:
Given:
Initial height = 4 feet
Initial upward velocity = 23 f/s
Equation;
h = 4 + 23t - 16t² for h = 12 feet
Find:
Time taken
Computation:
h = 4 + 23t - 16t² for h = 12 feet
12 = 4 + 23t - 16t²
16t² -23t + 8 = 0
t = [-b±√b²-4ac] / 2a
t = [23±√23²-(4)(16)(8)] / 2(16)
t = [23±√529-512] / 32
t = [23±4.12]/32
Time taken = 0.85 and 0.59 (Approx.)
What is the common ratio of the sequence −8, 12,−18, 27, ...
Answer:
-3/2
Step-by-step explanation: Divide 12 by 8 and you get 3/2. Since the sign alters, the ratio is negative.
Suppose the speeds of cars along a stretch of I-40 is normally distributed with a mean of 70 mph and standard deviation of 5 mph. Use the 68-95-99.7 rule to answer the following questions.
(a) Approximately what percent of cars are travelling between 65 and 75 mph? percent
(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit? percent
(c) What percent of cars are traveling at a speed greater than or equal to 80 mph? (Answer to one decimal place.)
(d) What percent of cars are traveling at a speed greater than 80 mph? (Answer to one decimal place.) percent
(e) 95% of cars are traveling between what two speeds? (Answer to two decimal places) Between mph and mph
Answer:
a) 68%.
b) 84%.
c) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
d) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
e) Between 60 mph and 80 mph.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 70 mph, standard deviation of 5 mph.
(a) Approximately what percent of cars are travelling between 65 and 75 mph?
70 - 5 = 65
70 + 5 = 75
Within 1 standard deviation, so approximately 68%.
(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit?
The normal distribution is symmetric, which means that 50% of the measures are below the mean, and 50% are above.
65 is one standard deviation below the mean, so of the cars below the mean, 68% are above 65 mph.
0.68*50% + 50% = 34% + 50% = 84%.
84%.
(c) What percent of cars are traveling at a speed greater than or equal to 80 mph?
80 = 70 + 2*10
2 standard deviations above the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean. Due to the symmetry of the normal distribution, of the other 5%, 2.5% is at least 2 standard deviations below the mean and 2.5% is at least 2 standard deviations above the mean. Then:
Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
(d) What percent of cars are traveling at a speed greater than 80 mph?
Same as item c, as in the normal distribution, the probability of an exact value is considered to be 0.
(e) 95% of cars are traveling between what two speeds?
Within two standard deviations of the mean.
70 - 2*5 = 60 mph
70 + 2*5 = 80 mph.
Between 60 mph and 80 mph.
Solve 3/4w≤24 Graph the solution
Answer:
w<32
Step-by-step explanation:
In triangle RST, mZR> m_S+ m2T. Which must be true of triangle RST? Check all that apply.
O mzR > 90°
OmZS + m2T < 90°
Om S = m_T
mZR>m_T
mZR > m_S
mzS>m_T
Answer:
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
Step-by-step explanation:
Here, RST is a triangle
Therefore, m∠R+m∠S+m∠T = 180° ⇒ m∠S+m∠T = 180° - m∠R
Given: m∠R > m∠S + m∠T
⇒ - m∠R < - (m∠S + m∠T) (by multiplying -1 on both sides)
⇒ 180° - m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)
⇒ m∠S+m∠T < 180° - (m∠S + m∠T)
⇒ m∠S+m∠T+m∠S+m∠T < 180° (by adding m∠S + m∠T on both sides)
⇒ 2(m∠S+m∠T) < 180°
⇒ m∠S+m∠T < 90°
⇒ m∠R > 90° ( because m∠R+m∠S+m∠T=180° )
Again, m∠R > m∠S + m∠T
⇒ m∠R > m∠S and m∠R > m∠T
Thus, Option first, second, fourth and fifth are correct.
Chase is 7 years older than Zoe. In 4 years the sum of their ages will be 41. How old is chase now?
Answer:
Chase would be 24 years old
Rachel is solving the system of equations below by using the elimination method. Which of the following steps could she use? 7x-21y=14. 2x+3y=11
Answer:
[tex]7x - 21y = 14 - - - (a) \\ 2x + 3y = 11 - - - (b) \\ (a) + 7 \times (b) : \\ 21x + 0y = 91 \\ x = 4.33 \\ (2 \times 4.33) + 3y = 11 \\ 3y = 2.34 \\ y = 0.78 \\ { \boxed{x = 4.33}} \\ { \boxed{y = 0.78}}[/tex]
A planet rotates through one complete revolution every 26 hours. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 26 hours. Find the angular velocity of a person standing on the equator.
Answer:
23.5 degree stands tap of the floor
Eight less than the product of three and a number is twenty two
Answer:
let x represent the missing number
3x-8=22
3x=22+8
3x=30
3x/3=30/3
x=10
Step-by-step explanation:
hope this is helpful
Answer:
3x - 8 = 22
Step-by-step explanation:
always use x as "the number"
remember product means multiply!
8 less than the product of three and a number
3x - 8
lastly, "is 22"
"is" means equals
3x - 8 = 22
I hope this helps!!
what is the slope of a line between (-4,14) and (-16,8)
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
slope :
[tex]slope \: = \: \frac{y2 - y1}{x2 - x1} = \frac{8 - 14}{ - 16 - - 4} = \frac{ - 6}{ - 12} = \frac{1}{2} [/tex] = 0.5
(08.02 MC)
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
Complete y = Mx + b
Step-by-step explanation:
write the equation in slope intercept form for the line that passes through the point (1,2) and has a slope of -5
Answer:
y = -5 × 1 + 2
Step-by-step explanation:
y = y, m = slope, x = x point given (1), b = y point given, unless a zero (2)Formula - y = mx + bPlug it iny = -5 × 1 + 2A sum of J$300 is divided in the ratio 2 : 3. Calculate the amount of the LARGER share.
9514 1404 393
Answer:
J$180
Step-by-step explanation:
The ratio of the larger share to the total is ...
3 : (2 +3) = 3 : 5
Then the larger share is ...
(3/5)(J$300) = J$180
Calculate the remaining values:c d =
Step-by-step explanation:
of what ? there is nothing here to work with.
Answer: C = 12 D = 8
Step-by-step explanation:
At the school carnival, students can buy tickets in packs of 10. Each pack
of 10 tickets can be used for food or games. Use the coordinate grid below to
determine how many packs of tickets a student can purchase for $27.00.
Answer:
6 packs
Step-by-step explanation:
The answer is 6 packs of tickets. The reasoning behind this is that the graph literally states it. If you go to the side of the graph that shows how much money they spend, and look at 27 you can see that they bought 6 packs of tickets for 27 dollars. If you wanna know how to solve it like mathematically you really wouldn't need to but you can see that if you were to buy 2 packs of tickets it would be 9 dollars (according to the graph) which if we divide 9 by 2 you figure out that for one pack of tickets its $4.50. Then you could easily just divide 27 by 4.5 and you would be left with 6, the answer. Again though u really don't need to do that the graph shows it for you so these questions should be pretty easy. Hope this helped! (also sorry I'm not the best at explaining things but I tried, Goodluck!!) :)
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.2 pounds and a standard deviation of 6.6 pounds. Step 2 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 65 people on this diet, what would be the standard deviation of the sampling distribution of sample means
Answer:
The standard deviation of the sampling distribution of sample means would be 0.8186.
Step-by-step explanation:
We are given that
Mean of population=23.2 pounds
Standard deviation of population=6.6 pounds
n=65
We have to find the standard deviation of the sampling distribution of sample means.
We know that standard deviation of the sampling distribution of sample means
=[tex]\frac{\sigma}{\sqrt{n}}[/tex]
Using the formula
The standard deviation of the sampling distribution of sample means
=[tex]\frac{6.6}{\sqrt{65}}[/tex]
[tex]=0.8186[/tex]
Hence, the standard deviation of the sampling distribution of sample means would be 0.8186.
Someone please help on with these problems
Find X. Round your answer to the nearest TENTH of a degree. (GIVING BRAINLEST)
Answer:
36.8 i think
Step-by-step explanation:
Before it can be used, an 18-ounce container of liquid fertilizer must be mixed with 36 ounces of water. What fraction of fertilizer is in the final mixture? (type a simplified fraction)
Answer:
1/3
Step-by-step explanation:
18 oz fertilizer to 36 oz water will make 18+36 = 54 oz of liquid
18/54 , simplify by 2
9/27, simplify by 9
1/3
If the total area of a dartboard is 804 in2 and the area of the bull's-eye is 50in2, what is the probability that a dart that randomly hits the dartboard will hit the bull's-eye?
Answer:
6.2%, option A.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
The desired area to hit is of 50 in², while the total area is of 804 in². Thus, the probability of hitting the bull's-eye is:
[tex]p = \frac{50}{804} = 0.062[/tex]
0.062*100% = 6.2%.
6.2%, option A.
