The expression a/b * c/d is an illustration of number types
The truth value of 8.96 is yesThe truth value of 5√6 is noThe truth value of 15 is yesThe truth value of π/4 is yesHow to determine the true values of the numbers?The expression is given as:
a/b * c/d
Next, we test the given numbers
(a) 8.96
Express 8.96 as a fraction
8.96 = 896/100
Express the numerator and the denominator as products
8.96 = (224 * 4)/(50* 2)
Split the fraction
8.96 = 224/50 * 4/2
The above equation shows that 8.96 can be written in the form a/b * c/d.
Hence, the truth value of 8.96 is yes
(b) 5√6
Express 5√6 as a product expression
5√6 = 5 * √6
Evaluate the product
5√6 = 12.2474.....
The result of 5√6 is a non-terminating decimal
Hence, the truth value of 5√6 is no
(c) 15
Express 15 as a fraction
15 = 90/6
Express the numerator and the denominator as products
15 = (9 * 10)/(3 * 2)
Split the fraction
15 = 9/3 * 10/2
The above equation shows that 15 can be written in the form a/b * c/d.
Hence, the truth value of 15 is yes
(d) π/4
Express π as 22/7
π/4 = 22/7/4
Rewrite the expression as products
π/4 = 22/7 * 1/4
The above equation shows that π/4 can be written in the form a/b * c/d.
Hence, the truth value of π/4 is yes
Read more about numbers at:
https://brainly.com/question/24670740
Which is the best approximation for the measure of angle xyz? 33.6° 39.8° 50.2° 56.4°
The best measure of the angle ∠XYZ is given by: Option B: 39.8°
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled (not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\\\[/tex]
The missing figure is attached below.
From the given figure, if we see from the angle x which is ∠XYZ, the hypotenuse is YZ, perpendicular = XZ with length 10 inches, and base XY with length 12 inches.
Since perpendicular and base are specified, we can directly use tangent ratio and then its inverse to find the measure of the ∠XYZ, as shown below:
[tex]\tan(\angle XYZ) = \dfrac{|XZ|}{|XY|} = \dfrac{10}{12}\\\\\angle XYZ = \tan^{-1}\left(\dfrac{10}{12}\right) \approx 39.8^\circ[/tex]
Thus, the best measure of the angle ∠XYZ is given by: Option B: 39.8°
Learn more about inverse trigonometric functions here:
https://brainly.com/question/12551115
Answer:
b
Step-by-step explanation:
took the test
solve PLEASE BE QUICK AND ANSWER IT RIGHT AND I WILL GIVE BRAINLY
Answer:
43/50
Step-by-step explanation:
1/4x^2-X-3
What is the vertex?
(X= -b/2a)
What is the y intercept?
Answer:2
Step-by-step explanation:1+1*1 is 2 there for this is the answer to life
ACtualy that is 42
Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5km from home and their walking speed is 4 kilometres per hour. A On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home?
The distance between Reeta and the school when the cyclists arrive the home for this case is found being 2 km
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
How to find the speed of an object?If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units time, then that object's speed is
[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
Given that:
Distance from school to home = 5 kmWalking speed = 4 km / hoursCycling speed = 5 times walking speed = 20 km / hourThey all go and come together to and from school/home.On monday: Nikita and Peter are coming by cycle, and Reeta walks.Cycle punctures at four fifth of the way home = [tex]\dfrac{4}{5} \times 5= 4\: \rm km[/tex] from school (as they're coming towards home, so went from school)After puncture, cyclists walk to homeTo find: Disance of Reeta from school when cyclist reach home.
Suppose at time 0 hours, all three people departed from school (on that monday).
After 't' hours, suppose the cycle gets punctured.
Then, as the cycle was going by 20 km / hour speed, so in 't' hours, it must have covered d kilometers (suppose),
then we get:
[tex]S = \dfrac{D}{T}\\\\20 = \dfrac{d}{t}\\\\d = 20 t \: \rm km[/tex]
This distance is measured from school. But we know that this distance is 4 km, so we get:
[tex]20t = 4\\t = \dfrac{4}{20} = 0.2 \: \rm hours[/tex]
The remaining 1 km (as home is 5 km away from school and 4 km is already traveled) is walked by Cyclists. And walking speed is 5 km / hour, so let they take T hours to travel that 1 km walking, then we get:
[tex]S = D/T\\\\5 = \dfrac{1}{T} \\\\T = 0.2 \: \rm hours[/tex]
So, total time cyclists took to reach home from school is: [tex]0.2 + 0.2 = 0.4 \: \rm hours[/tex]
Reeta is walking that whole 5 km.
The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.
Thus, we have:
Time taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:
[tex]S = D/T\\D = ST\\D = 5 \times 0.4 = 2 \: \rm km[/tex]
So Reeta was 2 km away from school when cyclists reached home on that monday.
Thus, the distance between Reeta and the school when the cyclists arrive the home for this case is found being 2 km
Learn more about forming equations here:
https://brainly.com/question/11938672
#SPJ1
Kyle uses a spreadsheet to keep track of his spending. this is an example of kyle’s spreadsheet for two months: a 2-column table with 14 rows. column 1 labeled transaction with entries beginning balance, rent, paycheck, groceries, tax refund, textbooks, insurance, garage sale, clothes, rent, electric bill, paycheck, party, insurance. column 2 labeled amount in dollars with entries 626.88, 335.13, 202.44, 77.05, 103.72, 96.33, 56.25, 42.67, 62.54, 335.13, 77.39, 215.15, 113.48, 56.25. kyle thinks that he could improve this spreadsheet, but he is not sure how. choose the statement or statements that would help kyle’s spreadsheet become more organized. i. the spreadsheet should contain at least two copies of every entry for backup purposes. ii. it is hard to tell the debits from the credits. they should be in different colors, different columns, or otherwise differentiated. iii. having the dates, or at least the months, of each transaction would make things easier to find. a. i and ii b. iii only c. ii and iii d. i, ii, and iii
The statements which help Kyle’s spreadsheet become more organized are (ii and iii). They should be different having the time, of transaction to simplify find.
What is spreadsheet?Spreadsheet is the electronic sheet in which the data can be arranged and saved for the future use. This data in a spreadsheet is arranged in the rows and the column of the spreadsheet.
Kyle uses a spreadsheet to keep track of his spending. this is an example of Kyle’s spreadsheet for two months.
Kyle thinks that he could improve this spreadsheet, but he is not sure how. Choose the statement or statements that would help kyle’s spreadsheet become more organized.
The statement, which may help him,
ii. It is hard to tell the debits from the credits. They should be in different colors, different columns, or otherwise differentiated. This way he can arrange and find the data whenever required.iii. Having the dates, or at least the months, of each transaction would make things easier to find. This way he can see the transaction data wise and arranged them in time wise order.Thus, The statements which help Kyle’s spreadsheet become more organized are (ii and iii). They should be different having the time, of transaction to simplify find.
Learn more about the spreadsheet here;
https://brainly.com/question/4965119
Answer:
C
Step-by-step explanation:
trust
Consumer math. i need help asap
alvira and barry gomez purchased a home priced at $280,000. they put down 40%.
what is the
a. down payment
b. mortgage loan
well, they put a downpayment of 40%, that's not subject for a loan, since they put that out of their pocket, the loan will be the 60% leftover.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 280000}}{\left( \cfrac{40}{100} \right)280000}\implies 112000\leftarrow downpayment \\\\\\ 280000~~ - ~~112000\implies 168000\leftarrow \textit{mortgage loan}[/tex]
Mr. Swift is traveling from his house to the history museum. How many meters will he travel to the museum?
If Mr. Swift is traveling from his house to the history museum. The number of meters will he travel to the museum is 6,400 meters.
Number of metersGiven:
Distance=6.4 Kilometres
Hence:
1 kilometre= 1,000 meters
Number of meters=6.4 kilometres x 1,000 meters
Number of meters =6,400 meters
Therefore the number of meters will he travel to the museum is 6,400 meters.
Learn more about number of meters here:https://brainly.com/question/870330
Please help! Will mark brainlyest.
Answer:
58
Step-by-step explanation:
(6,0)
(10,6)
(-8,6)
(0,0)
Answer:
-8,6
Step-by-step explanation:
all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area
20pts each please help!!
solve for x
x - 1 2 (8 - x) = x + 3(4 - x) - x
Answer:
The correct answer is x = 32/9
Step-by-step explanation:
You must multiply the given numbers from left to right, resulting in:
x - 4 + x/2 = x + 12 - 3x - x
Then, by combining phrases on both sides that are similar, we get:
(3/2)x - 4 = -3x + 12
By adding 4 to both sides of the equation, it becomes:
(3/2)x = -3x + 16, or
3/2)x + (6/2)x = 16, which may be written as:
3x + 6x = 32, or 9x = 32
Therefore, the answer is x = 32/9
I hope this helps! ^-^
Which of the following is true about the base b of a logarithmic function? b > 0 and b = 1 b > 0 and b not-equals 1 b < 0 and b not-equals 1 b < 0 and b = 1
The statement which is true of the base, b of a logarithmic function is; b > 0 and b = 1.
What is the base of a logarithmic function?When the base of a logarithmic function is set to a negative number, it follows that;
Such a logarithmic function wouldn't give us any real solutions.
So the base CAN NOT be negative.
Putting together all 3 conclusions, we can say that the base of a logarithm can only be positive numbers greater than 1.
Hence, the statement which is true of the base, b of a logarithmic function is; b > 0 and b = 1.
Read more on logarithmic functions;
brainly.com/question/13473114
Answer:
b > 0 and b = 1.
Step-by-step explanation:
Find x, where x^6 = 9^-3 and x > 0.
x > 0
bit rusty with exponents so could I have some help?
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^6~~ = ~~9^{-3}\implies x^6~~ = ~~(3^2)^{-3}\implies x^6~~ = ~~3^{-6} \\\\\\ x^6~~ = ~~(3^{-1})^6\implies x=3^{-1}\implies x=\cfrac{1}{3^1}\implies x=\cfrac{1}{3}[/tex]
Please Help It Was Due Yesterday!!!!
What is the 8th term in the Sequence?
An=25-3n
Answer:1
Step-by-step explanation:
Answer:
a₈ = 1
Step-by-step explanation:
substitute n = 8 into the nth term rule
a₈ = 25 - 3(8) = 25 - 24 = 1
Jake was offered the following amounts of an entire pizza: 0.6, 4/5, or 0.75. Jake really likes pizza and wants the largest amount of pizza he can get. Which of the amounts should he select?
Answer:
4/5
Step-by-step explanation:
All as percentages are:
0.6 = 60%
4/5 = 80% (largest)
0.75 = 75%
Therefore, Jake should select 4/5.
The table represents some points on the graph of a linear function.
Which equation represents the same relationship?
What is the volume of a sphere with a radius of 46.1 ft, rounded to the nearest tenth
of a cubic foot?
Answer:
410176.90 ft³Step-by-step explanation:
Here, it is given that the radius of sphere is 46.1 ft and we have to find the volume of the sphere .
So, we know that,
⇒ Volume(Sphere) = 4/3πr³
We will take the value of π as 3.14Now, Substituting the given values in the formula :
⇒ Volume(Sphere) = 4/3 × 3.14 × (46.1)³
⇒ Volume(Sphere) = 4/3 × 3.14 × 97972.18
⇒ Volume(Sphere) = 4/3 × 307632.64
⇒ Volume(Sphere) = 307,632.64 × 4/3
⇒ Volume(Sphere) = 1230530.59/3
⇒ Volume(Sphere) = 410176.86
Therefore,
The volume of the sphere is 410176.90 ft³The volume of a sphere with a radius of 46.1 feet is 410176.9 cubic foot.
What is the volume of a sphere?The volume of sphere is the measure of space that can be occupied by a sphere. If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³
Given that, the radius of a sphere = 46.1 feet.
Here, volume = 4/3 ×3.14×46.1³
= 410176.864
≈ 410176.9 cubic foot
Therefore, the volume of a sphere with a radius of 46.1 feet is 410176.9 cubic foot.
To learn more about the volume of a sphere visit:
https://brainly.com/question/9994313.
#SPJ2
Whats the was i could solve this
Answer:
so let's see buddy....
Step-by-step explanation:
look at that angle having 45, zed (Z) angles are equal, which means the bottom left inside the triangle is also 45°.
now sum of angles in a triangle is 180°...
so we add up all the angles and equal them to 180° but an angle is missing, let's name it Y°.
so...
96°+45°+Y°=180°
101°+Y°=180°
Y°=180°–101°
Y°=79°
to find x, sum of angles in a straight line is 90°
so we subtract 79 from 90
x°= 11
Find the median of each data set.
Answer:
seventh grade- 10
ninth grade- 18
Hope This Helped! :)
solve the inequality 4x-7 > -12x+14/4
Answer:
x > 21/32
Step-by-step explanation:
I've used an app but for some reson it won't let me tell you.
Find the length of PQ.
10
9
P(-10.8)
8
00N
6
5
3
Q(-3, 3)
2
- 10 -98 -7 -6 -5 4 -3 -2 -1
I think its B about 8.6 units
Anna enlarged a photo to hang over her fireplace. The new Bh photo is 47.2 inches wide. If the original photo was 3.6 inches tall and 5.9 inches wide, what is the height of the new photo?
Answer:
28.8 inches tall
Step-by-step explanation:
47.2/5.9 = 8
8(3.6) = 28.8
Dividing the corresponding widths of the photos can help you find the scale factor. After finding the scale factor of 8 you can multiply the height to find the new scaled height of 28.8.
Find the area of a triangle ABC when m
Answer:
29.02
Step-by-step explanation:
The area of traingle formula with two sides and one angle is:
[tex]A = ab\frac{siny}{2}[/tex]
When you put the values in, you can simplify it and put it into a calculator for sin. And, you then have your answer.
Which statement about the function is true? the function is positive for all real values of x where x < –1. the function is negative for all real values of x where x < –3 and where x > 1. the function is positive for all real values of x where x > 0. the function is negative for all real values of x where x < –3 or x > –1.
The statement which is true about the function is that the function is negative for all real values of x where x < –3 or x > –1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The graph of the function is,
[tex]f(x) = -(x +3)(x - 1)[/tex]
It is positive, its value is above x-axis. For the function above, the solutions are,
[tex]x+3=0\\x=-3\\x-1=0\\x=1[/tex]
The value of x is lies between,
[tex]-3 < x < 1[/tex]
Thus, the statement which is true about the function is that the function is negative for all real values of x where x < –3 or x > –1.
Learn more about Function here:
https://brainly.com/question/5245372
Flipping a coin to determine which participants in a study are in the control group versus the treatment group is a form of:
Answer:
Flipping a coin to determine which participants in a study are in the control group versus the treatment group is a form of: blinding.
Step-by-step explanation:
The diameter of a circle is 20 cm. Find its area in terms of \piπ
Answer:
Step-by-step explanation:
Diameter = 20 cm
Radius = r = 20 ÷ 2 = 10 cm
[tex]\boxed{\text{Area of circle =$\pi r^{2}$ }}[/tex]
= π *10 * 10
= 100π cm²
If 3p-5t=9 What will be the value of 12p- 20t
Answer:
36
Step-by-step explanation:
[tex]12p-20t=4(3p-5t)[/tex]
Substitute [tex]3p - 5t = 9[/tex] into the equation:
[tex]\implies 12p-20t=4(9)=36[/tex]
please help, thank you very much to whoever helps.
Answer:
x = 20
B = 92°
C = 40°
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°
⇒ A + B + C = 180°
⇒ 48 + (6x - 28) + 2x = 180
⇒ 48 + 6x - 28 + 2x = 180
⇒ 48 - 28 + 6x + 2x = 180
⇒ 20 + 8x = 180
⇒ 8x = 180 - 20
⇒ 8x = 160
⇒ x = 160 ÷ 8
⇒ x = 20
Now we have found x, simply substitute this into the expressions for angles B and C:
B = 6(20) - 28
= 120 - 28
= 92°
C = 2(20)
= 40°
Answer:
x = 20
m<B = 92
m<C = 40
(m<A = 48)
Step-by-step explanation:
triangles are 180 degrees
add up the sides
48 + (6x-28) + 2x
8x + 20 = 180
8x = 160
x = 20
put 20 where the x is for B and C
B.
6(20)-28 =
120 - 28 =
92
C.
2(20) =
40
A jar contains only pennies, nickels, dimes, and quarters. There are 16 pennies, 14 dimes, and 24 quarters. The rest of the coins are nickels. There are 74 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
i need equations pls TwT
Answer: 54 Coins are not nickel( 16+14+24)
n= 74 - non nickel
n= 74- (penny+ dime+ quarter)
n= 74- (16+14+24)
Step-by-step explanation:
33% of 55 cm is what?
Answer:
18.15 cm
Step-by-step explanation:
.33 is 33% in decimal
.33 * 55 cm = 18.15 cm
a || b - Find x
Help please.
Answer:
I think it is 142 I'm not sure if it's right or wrong