Answer:
C) If you live in a mansion, then you do not have a small lawn to mow.
Step-by-step explanation:
Statement is
If you have a small lawn to mow, then you do not live in a mansion. "If p then q"Equivalent statement as per the rule should be:
1. Not p or q2. q or not p3. If not q then not pOptions to identify equivalent statement
A) If you have a small lawn to mow, then you live in a mansion.
FalseB) If you do not have a small lawn to mow, then you live in a mansion.
FalseC) If you live in a mansion, then you do not have a small lawn to mow.
True as per rule 3 aboveD) If you do not live in a mansion, then you have a small yard to mow.
FalseCorrect answer is option C)
The point (1/3,1/4) lies on the terminal said of an angle. Find the exact value of the six trig functions and explain which functions are reciprocal functions to each other
Answer:
sine and cosec are inverse of each other.
cosine and sec are inverse of each other.
tan and cot are inverse of each other.
Step-by-step explanation:
Given point on terminal side of an angle ([tex]\frac{1}{3},\frac{1}4[/tex]).
Kindly refer to the attached image for the diagram of the given point.
Let it be point A([tex]\frac{1}{3},\frac{1}4[/tex])
Let O be the origin i.e. (0,0)
Point B will be ([tex]\frac{1}{3},0[/tex])
Now, let us consider the right angled triangle [tex]\triangle OBA[/tex]:
Sides:
[tex]Base, OB = \frac{1}{3}\\Perpendicular, AB = \frac{1}{4}[/tex]
Using Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OA^{2} = OB^{2} + AB^{2}\\\Rightarrow OA^{2} = \frac{1}{3}^{2} + \frac{1}{4}^{2}\\\Rightarrow OA = \sqrt{\frac{1}{3}^{2} + \frac{1}{4}^{2}}\\\Rightarrow OA = \sqrt{\frac{4^2+3^2}{3^{2}.4^2 }}\\\Rightarrow OA = \frac{5}{12}[/tex]
[tex]sin \angle AOB = \dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\Rightarrow sin \angle AOB = \dfrac{\frac{1}{4}}{\frac{5}{12}}\\\Rightarrow sin \angle AOB = \dfrac{3}{5}[/tex]
[tex]cos\angle AOB = \dfrac{Base}{Hypotenuse}[/tex]
[tex]\Rightarrow cos \angle AOB = \dfrac{\frac{1}{3}}{\frac{5}{12}}\\\Rightarrow cos\angle AOB = \dfrac{4}{5}[/tex]
[tex]tan\angle AOB = \dfrac{Perpendicular}{Base}[/tex]
[tex]\Rightarrow tan\angle AOB = \dfrac{3}{4}[/tex]
[tex]cosec \angle AOB = \dfrac{Hypotenuse}{Perpendicular}[/tex]
[tex]\Rightarrow cosec\angle AOB = \dfrac{5}{3}[/tex]
[tex]sec\angle AOB = \dfrac{Hypotenuse}{Base}[/tex]
[tex]\Rightarrow sec\angle AOB = \dfrac{5}{4}[/tex]
[tex]cot\angle AOB = \dfrac{Base}{Perpendicular}[/tex]
[tex]\Rightarrow cot\angle AOB = \dfrac{4}{3}[/tex]
Please help me with this answer
Answer:
0.703
Step-by-step explanation:
19/70 = 70.37/100
Hope This Helps :)
Answer:
0.7037
Step-by-step explanation:
0.7037 is a decimal and 70.37/100 or 70.37% is the percentage for 19/27.
Three bags of jelly beans contain 26, 28, and 30 beans. The ratios of yellow beans to all beans in each of these bags are $50\%$, $25\%$, and $20\%$, respectively. All three bags of candy are dumped into one bowl. To the nearest percent, what is the percentage of yellow jelly beans in the bowl?
======================================================
Explanation:
The first bag has 26 beans total. Since 50% are yellow, this means 0.50*26 = 13 beans are yellow. Let A = 13.
The second bag has 28 beans, of which 25% are yellow, so 0.25*28 = 7 are yellow. Let B = 7.
The last bag has 30 means and 20% are yellow. So 0.20*30 = 6 are yellow. Let C = 6.
Add A,B,C to get A+B+C = 13+7+6 = 26 yellow from all three bags out of 26+28+30 = 84 beans total.
The percentage of yellow overall is 26/84 = 0.3095 = 30.95% approximately, which rounds to 31%
what is the answer...
Answer:
64
Step-by-step explanation:
5x-16+6x=10x (combine like terms)
11x-16=10x (subtract 11x)
-16= -1x (divide by -1
16 = x
Now plug 16 into 5x-16.
5(16)-16 = 80-16 = 64
4y – 2(1 – y) = –44?
Answer:
y= - 7
Step-by-step explanation:
4y-2+2y= -44
6y-2= -44
6y= -44+2
6y= -42
y= -7
Answer:
y=-7
Step-by-step explanation:
4y-2+2y=-44
6y-2=-44
6y=-44+2
6y=-42
7=-7
2(c + 3) = c - 13
Solve
Answer:
-19
Step-by-step explanation:
2 (c + 3) = c - 13
2c + 6 = c - 13
2c + 19 = c
19 = - c
c = - 19
Find the distance between the points (-8, -10) and (18, -10).
2014
16
12
8
4
4
-20
-16
--12
-8
-4
0
12
20
16
-4
-8
(18. -10
(-8, -10
--12
-16
-20
units
IN
Answer:
26 units
Step-by-step explanation:
(-8, -10) and (18, -10)
Since the y values are the same, we only need to worry about the x values
18 - -8
18+8
26
The distance is 26 units
Answer:
8
Step-by-step explanation:
From the top of a 224-ft lighthouse, the angle of depression to a ship in the ocean is 22°. How far is the ship from the base of the lighthouse? Give your answer to the nearest foot.
Answer:
x=554.41 m
Step-by-step explanation:
It is given that,
Height of the lighthouse, OA=224 ft
The angle of depression to a ship in the ocean is 22 degrees.
We need to find the distance between ship and the base of the lighthouse. The figure is attached. We can use trigonometry to find x.
[tex]\tan22=\dfrac{OA}{AB}\\\\\tan22=\dfrac{224}{x}\\\\x=\dfrac{224}{\tan22}\\\\x=554.41\ m[/tex]
So, there is a distance of 554.41 m between the ship and the lighthouse.
Plzzz hurry!!
Chris goes with Frederick to the beach to search for coins with his metal
detector. Chris has found both newer coins and antique coins. Chris found 76
newer coins and 19 antique coins. What percent of the coins that Chris found are
antique?
Answer:
20%
Step-by-step explanation:
Add 19 to 76 for the total, which is 95, then find the percent of 19 out of the 95
The percentage of the coins that Chris found are antique will be 20%
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Chris goes with Frederick to the beach to search for coins with his metal detector. Chris has found both newer coins and antique coins. Chris found 76 newer coins and 19 antique coins.
The total number of the coins = 76 + 19 = 95
The percentage will be calculated as,
Percentage = ( 19 / 95 ) x 100
Percentage = 0.2 x 100
Percentage = 20%
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If ƒ(x) = 2x2 + 3, then which of the following represent ƒ(-1)?
Answer:
f(-1) = 1
Step-by-step explanation
[tex]f(-1)= 2(-1)^{2} + 3\\f(-1) = -2 + 3\\f(-1) = 1[/tex]
Carson needs 3 quarts of water to make fruit punch, but has only a 1-cup measuring cup. She knows there are 2 cups in 1 pint, and 2 pints in 1 quart. How can Carson find the number of cups of water she needs to make the punch.
FAST
Answer:
12
Step-by-step explanation:
3 quarts is 6 pints
6 pints is 12 cups
if there is 4 cups in a quart then 4x3=12
my assignment is about multiplication and maybe division. The one of the multiplication problems are this one : Martin has 12 times as many baseball cards as Josie. Josie has 29 more cards then Kal. How many baseball cards does Martin have? write and solve equations. Matt has 14 times as many cards as Kal. How many cards does Matt have?
Answer:
well how many cards does kal have?? thats the main key to solving the question.
A police car drives for 11/12 hours with a constant speed of 84 mph and then for another 2 hours 15 minutes with a constant speed of 72 mph. What distance did it go?
Answer:
1170 miles
Step-by-step explanation:
multiply 12 x 84 to get 1008 keep that 1008 for later. divide 72 by 60 you should get 1.2, times 1.2 and 15 and you should get 18 keep the 18. times 2 by 72 and get 144. add 144 and 18 to get 162. add 162 and 10008 to get 1170. the awnser is 1170 miles.
What is 3x-8=4. Solve for x. Explain.
Answer:
4
Step-by-step explanation: 3 x 4 = 12.
12 - 8 = 4.
The Roberts family is taking a road trip. They plan to drive 1500 miles over two days, stopping for the night when they are halfway. How many hours will they drive for the first day if they average 50 mph over the course of the trip?
Explain:
Answer:
Answer:
The number of hours they would have to drive for the first day if they average 50 mph over the course of the is 15 hours
Step-by-step explanation:
The given parameters are;
The distance the Roberts family plan to drive = 1500 miles
The average speed at which they drove = 50 mph
We note that the formula for average speed = Total distance/(time)
Therefore, we have;
50 mph = 1500 miles/(time, t)
Time = 1500 miles/(50 mph) = 30 hours
Given that for the first day of the 2 days, they will cover half their total distance, which is 1500 m/2 = 750 m
The time taken = 750 miles/(50 mph) = 15 hours
The time take to cover half the distance = 15 hours
Therefore, the number of hours they would have to drive for the first day if they average 50 mph over the course of the is 15 hours.
What is the distance rounded to the nearest tenth, between the points (0, 5) and (8, 0)?
Answer:
9.4
Step-by-step explanation:
The distance formula is d=√((x₂-x₁)²+(y₂-y₁)²)
d=√((8-0)²+(0-5)²)
d=√((8²)+(-5²))
d=√(64+25)
d=√(89)
d=9.433981
d=9.4
Hope this helps :-)
Answer: 9.4 units
Step-by-step explanation:
What is the pattern as the exponents decrease
Answer:
Divide the previous value by 5
Step-by-step explanation:
Combine like terms in the following expressions A. 10x − 4x. B. −15n + 3n. C. 7.5y + 1.6y − 2 D. m + 4 − 2m
Answer:
A. -6x
B. -12n
C. 9.1y
D. 3m
Explanation:
Add each expression to get the final answer.
Choose the answer that makes the sentence true. rational numbers are real numbers. ALL SOME NO
PLEASE HELP
Answer: All rational numbers are real numbers
Real numbers are those which can be represented on a real number line
A rational number is a number that can be written in the form of p/q where q is not equal to zero.
All rational numbers will be real numbers.
Option A is the correct answer.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
Example:
2 = 2/1 is a rational number.
1/2, 3/4, 5/6 are rational numbers.
We have,
________ rational numbers are real numbers.
We have to select from the options and fill in the blanks.
- ALL
- SOME
- NO
Real numbers can be any type of number except an imaginary number denoted by i = √-1.
So,
All rational numbers will be real numbers.
Thus,
All rational numbers will be real numbers.
Option A is the correct answer.
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What are the coefficients of 12-8x+14y
Answer:
the 8 and 14 would be the coefficients
Step-by-step explanation:
coefficients are the numbers only next to the variables( like x or y) so since 8 and 14 are next to the variables they are the coefficients
Find the slope of the line through each pair of points. (-17,-5), (15.-13)
What vocabulary word describes a number that has a non-repeating/non-terminating decimal
Answer:
Irrational Numbers
Step-by-step explanation:Irrational numbers never end and never end/repeat.
What is the slope of the line that passes through the points (-4, 8) and (-14, 8) ?
Answer:
Step-by-step explanation:
(8-8)/(-14+4) = 0/-10 = 0 is the slope
It was 12°C one person got home from school. The weather for port show me a story moving in the world drop the temperature by 70 Celsius. What is the expected temperature?
Answer:
Expected temperature = - 58°C
Step-by-step explanation:
Given:
Current temperature = 12°C
Drop in temperature = 70°C
Find:
Expected temperature
Computation:
Expected temperature = Current temperature - Drop in temperature
Expected temperature = 12°C - 70°C
Expected temperature = - 58°C
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
The graph is not a function of x because the line x = 0 intersects the graph at two points.
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.
Answer:
The answer is either a or c .
Step-by-step explanation:
Answer:
c yw
Step-by-step explanation:
Forty-two people charter a bus for $788. Estimate the amount each person pays.
Your answer
Answer:
$20
Step-by-step explanation:
If 42 people equally share the bus price off 788 dollars then ech person would be expected to pay 788/42 = $18.76 (2dp) though I suppose if you needed to estimate it, you would round 788 to 800 and 42 down to 40 which would give you 800/40 = 20 dollars per person which is a pretty close estimate.
Hope this helped!
Find the shaded area of the shape
Answer:
340 mm²
Step-by-step explanation:
The shaded area seems to be a parallelogram. To find the area of a parallelogram, all we need to do is multiply the height and base together. In this case, the base is 20 and the height is 17 so the area is 20 * 17 = 340 mm².
Answer:
340 mm^2.
Step-by-step explanation:
The shaded area is a parallelogram whose area = base * altitude
= 20 * 17
= 340 mm^2.
A recipe that makes a dozen cookies calls for 1 1/2 cups of milk, 2.25 cups of flour, and 1 1/4 cups of other ingredients. How many cups of other ingredients, milk and flour are needed to make 36 cookies? (1 dozen is 12 cookies)
Answer:
15 cupsStep-by-step explanation:
[tex]1\frac{1}{2} \:cups \:of\:milk\\2.25\:cups \:of\:flour\\1\frac{1}{4} \:cups\:of\:other\:ingredients\\\\Total = 1\frac{1}{2} + 2.25 + 1\frac{1}{4} \\= 5\:cups\\\\1\:dozen = 5\:cups\\3 \:dozen(36\:cookies) = x \:cups\\\\Cross\:multiply\\\\x = 5\times 3\\x = 15 \:cups[/tex]
choose the inequality that express the set:
Answer:
The third one
Step-by-step explanation:
Answer:
-1≤x≤-6
Step-by-step explanation:
-1≤x≤-6 since it is inclusive means that -1 and-6 included
What is 3x=4+7 that. Is. My. Question
Answer:
I think the answer is 11/3