Answer:
3 7/12
Step-by-step explanation:
5 1/3 = 16/3 = 64/12
1 3/4 = 7/4 = 21/12
64/12 - 21/12 = 43/12
43/12 = 3 7/12
Answer:
3 7/12
Step-by-step explanation:
between which 2 square roots does 7 lie
6,7
23,30
32,43
45,60
Answer:
32, 43
Step-by-step explanation:
Your welcome! :)
Answer:
The answer is 45,60.
Step-by-step explanation:
We can use a square chart to answer this question.
I will zoom in to the particular ones we need.
[tex] {6}^{2} = 36[/tex]
[tex]{7}^{2} = 49[/tex]
[tex] {8}^{2} = 64[/tex]
7 is the square root of 49.
45 lies in between 36 and 49 so its square root is more than 6 but less than 7. It is around 6.708 to the nearest thousandth.
Meanwhile, 60 lies in between 49 and 64 so its square root is more than 7 but less than 8. It is around 7.746 to the nearest thousandth.
Hence, we can say that 7 lies in between the square root of 45 and the square root of 60.
Find the possible dimensions of the picture above please
Answer:
(2x – 7) × (2x + 7)
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = (4x² – 49) m²
Dimension =?
The picture in the question above has a rectangular shape. Thus, the area is given by:
Area (A) = Length (L) × Width (W)
A = L × W
The dimension of the shape will be:
L × W
Now, we shall determine the dimension (L × W) as follow:
Area (A) = (4x² – 49) m²
Dimension (L × W) =?
A = L × W
L × W = 4x² – 49
Recall:
4 = 2²
49 = 7²
Thus,
L × W = 2²x² – 7²
L × W = (2x)² – 7²
Different of two squares
L × W = (2x – 7)(2x + 7)
L × W = (2x – 7) × (2x + 7)
Dimension = (2x – 7) × (2x + 7)
Therefore, the possible dimension (L × W) of the shape is (2x – 7) × (2x + 7)
QUESTION 2
Simplify the following
a5×a7
Answer:
[tex]a^{12}[/tex]
Step-by-step explanation:
Identity Used : [tex]a^x \times a^y = a^{x+ y}[/tex]
[tex]a^5 \times a^7 = a^{5 + 7} = a^{12}[/tex]
What is the possibility of drawing either a diamond or an ace from a deck of cards?
1/4
15/52
4/13
17/52
Answer:
4/13
Step-by-step explanation:
Answer:
4/13
Step-by-step explanation:
Since there are 13 diamond-faced cards in the deck, the probability becomes 13/52. There are 4 aces in the deck of 52 cards. There is one ace of diamonds in a deck so that lowers the chances by 1. 17-1=16
16/52=4/13
Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure. Step 1: Find the greatest common factor of the given lengths: 7 Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5 Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 3 squared + 4 squared = 9 + 16 = 25 = 5 squared Leon states that 21, 28, 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct? Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple. Yes, any set of lengths with a common factor is a Pythagorean triple. No, the lengths of Pythagorean triples cannot have any common factors. No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not.
Answer:
Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple
Step-by-step explanation:
The given side lengths are;
21, 28, and 35
From the given side lengths, the greatest common factor = 7
Therefore, we have;
3 × 7, 4 × 7, and 5 × 7
A Pythagorean triple is formed by three numbers, 'a', 'b', and, 'c', which are both positive and integers, that are related as follows;
c² = a² + b²
Therefore, for the three numbers, we get;
3, 4, and 5 is a Pythagorean triple
5² = 3² + 4²
Multiplying both sides by 7² gives;
(5)² × (7)² = (3)² × (7)² + (4)² × (7)²
By the laws of indices, (a·b)ⁿ = aⁿ × bⁿ
Therefore;
(5 × 7)² = (3 × 7)² + (4 × 7)²
Therefore, multiplying every length of the Pythagorean triple by the same whole number results in a Pythagorean triple.
(The relationship can also be shown using similar triangles, as multiplying the side lengths of a triangle by the same whole number, gives a similar triangle, having the same relationship between its sides)
Point A is located at (−4,2) and point B is located at (0,5).Find AB to the nearest tenth.
Answer:
The length of line segment AB is 5.
Step-by-step explanation:
Envision a right triangle that has one acute vertex at (-4, 2) and the other at (0, 5). The horizontal distance from the first to the second vertex is 0 - (-4) = 4, and the vertical distance is 5 - 2 = 3.
Then the length of the hypotenuse, according to the Pythagorean Theorem, is
d = √(4² + 3²) = 5
The length of line segment AB is 5. Note that this is a 3-4-5 triangle, and so 3² + 4² = 5²
1. Suly watched a film that was 90 minutes long. 1/6 of the way through the film, the
doorbell rang. The pizza man had arrived with the order.
How many minutes of the film had she watched before the pizza man arrived?
(3 marks)
a.
Answer:
15 minutes
Step-by-step explanation:
Suly watched a film that was 90 minutes long. Then, she stopped at the [tex]\frac{1}{6}[/tex]mark. This means that we have to find [tex]\frac{1}{6}[/tex] of 90 minutes to find the amount of time Suly watched before the pizza man arrived. So therefore, the answer is 15 minutes.
Have a nice day. : )
Answer:
15 minutes
Step-by-step explanation:
Given:
The film Suly is watching is 90 minutes longSuly watched 1/6 of the film before the pizza man arrivedSteps:
90/6=15Which of the following expressions is undefined
cot180°
sec0°
csc(-90°)
Answer:
Step-by-step explanation:
cot x = adjacent side / opposite side
So cot 180 = x / 0 which is undefined.
Determine if they are inverses or not
Answer: No
Step-by-step explanation:
They are not inverses because the slope for g(x) needs to also be negative, which it isn't.
HELP ME IS THE LAST ONE! Ty
if the angle of elevation of the sun is 40 degrees, and is decreasing 1/3 radians/hour how fast is the shadow of a 35m tall pole lengthening?
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr}[/tex]
Step-by-step explanation:
Let y = height of the pole = 35 m (constant)
x = length of the shadow
They are related as
[tex] \tan \theta = \frac{y}{x} [/tex]
or
[tex]x = \frac{y}{ \tan\theta } = y \cot \theta[/tex]
Taking the time derivative of the above expression and keeping in mind that y is constant, we get
[tex] \frac{dx}{dt} = y( - \csc^{2} \theta) \frac{d \theta}{dt} [/tex]
Before we plug in the numbers, let's convert the degree unit into radians:
[tex]40° \times ( \frac{\pi \: rad}{180°}) = \frac{2\pi}{9} \: radians[/tex]
Since the angle is decreasing, then d(theta)/dt is negative. Therefore, the rate at which the shadow is lengthening is
[tex] \frac{dx}{dt} = (35 \: m)( - \csc^{2} \frac{2\pi}{9} )( - \frac{1}{3} \frac{rad}{hr} )[/tex]
or
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr} [/tex]
Which of the equations below could be the equation of this parabola?
Answer:
D
Step-by-step explanation:
The parabola opens to the right
therefor it will be of the form x = +y^2
what is the value of b
Answer:
Step-by-step explanation:
b is an inscribed angle. The rule for this is that the measure of an inscribed angle is half the measure of the arc it intercepts. The arc it intercepts is 56 degrees, so the measure of angle b is half of that at 28
Choose the number sentence that illustrates the distributive property of multiplication over addition.
a.) 3 × (4 + 6) = (3 × 4) + (3 × 6)
b.) 3 × (4 + 6) = (3 + 4) × (3 + 6)
c.) 3 × (4 + 6) = (3 × 4) + 6
Answer:
A. LHS,
3×(4+6)
3×10
30
NOW,
RHS,
(3×4)+(3×6)
12+18
30
Therefore, A is ans
PLEASE HELP Mandalee went to a fruit stand with $20 to spend on berries. She bought 1 pint of blueberries for $3.50, and she bought raspberries for $4.00 per pint. If x
represents the number of pints of raspberries, which inequality represents the maximum number of pints of raspberries she can buy without spending more than $20? Assume all prices include tax.
Answer:
4
Step-by-step explanation:
4 + 4 + 4 + 4 = 16
16 + 3.50 = 19.50
the 50¢ left is for taxes
The maximum number of pints of raspberries she can buy without spending more than $20 is 4 .
What is inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
According to the question
Mandalee went to a fruit stand to spend on berries = $20
She bought 1 pint of blueberries = $3.50
she bought 1 pint of raspberries = $4.00
Now,
the number of pints of raspberries = x
inequality represents the maximum number of pints of raspberries she can buy without spending more than $20
i.e
3.50 + 4x < 20
4x < 16.5
x < 4.125
therefore
she can buy 4 raspberries pints .
Hence, the maximum number of pints of raspberries she can buy without spending more than $20 is 4 .
To know more about inequality here:
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Can someone help please ?!
Step-by-step explanation:
53 is the correct answer
HELP! Which of the following statements would prove line l is parallel to line m?
Answer:
Non of these.
Step-by-step explanation:
Because each of the options before have ≈ instead of =, however, to prove 2 lines are parallel, some angles must be equal. Corresponding angles and alternate angles should be equal. exactly equal.Mr. Shows can read 8 pages in one hour. How many days would it take him to finish a book if it's 216 pages?
Answer:
27 hours
Step-by-step explanation:
216/8=27
Answer:
Hello There!!
Step-by-step explanation:
(8×27=216) 8 pages=1 hour (1×27)
216 pages= 27 hours
There is 24 hours in one day and there is 3 hours left so the answer is 1 day and 3 hours.
hope this helps,have a great day!!
~Pinky~
The probability that a newborn baby at a certain hospital is male is 50%. What is the probability that exactly 2 out of 3 babies born in the hospital on any given day are male?
Answer:
50/50 bc you dont know until he/she is born
The requried probability that exactly 2 out of 3 babies born in the hospital on any given day are male is 0.375 or 37.5%.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
This is a binomial probability problem with n = 3 (three babies) and p = 0.5 (probability of a baby being male).
The probability of exactly 2 out of 3 babies being male can be calculated using the binomial probability formula:
[tex]P(X = 2) = (n choose X) * p^X * (1 - p)^{(n - X)}[/tex]
where "n choose X" is the binomial coefficient, equal to n! / (X! * (n - X)!) and X is the number of successes (in this case, 2).
Substituting the values, we get:
[tex]P(X = 2) = (3 choose 2) * 0.5^2 * (1 - 0.5)^{(3 - 2)}[/tex]
= 3 * 0.25 * 0.5
= 0.375
Therefore, the probability that exactly 2 out of 3 babies born in the hospital on any given day are male is 0.375 or 37.5%.
Learn more about probability here:
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Enter the slope-intercept equation of the line that has slope 12 and yintercept (0, 3).
Answer:
y= 12x+3
Step-by-step explanation:
The slope-intercept equation is basically y=mx+b
m is the slope and b is the intercept.
Plug the numbers in for those 2 and there's your answer :)
Answer:
y = 12x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 12 and c = 3 , then
y = 12x + 3
5 people are going to a dinner party. Each person at the party will eat 23 pounds of turkey. If you can only buy whole pounds of turkey, how many pounds should you buy?
30 people watched the soccer game last night tickets cost 2.75 each half of these fans bought a program at 1.50 each how much money was collected
what does the scale 1:500 000 mean
A scale of 1:5000000 means that:
This is mainly used in map or shadow etc. things.
For example in map it is given that the scale is 1mm:5000000mm, then it means that 1mm on the map is equal to 5000000mm in real life. So, you can be asked what does 5mm on map means in real life. So, you have to solve like this:
5 × 5000000 = real life size
25000000mm = real life size
In shadow like question, it can be asked that if 5000000 m of building casts a shadow of 1 m, then how much will be the shadow of a 10000000 m building. So, you have to solve it like this:
(10000000/5000000) × 1 = shadow size
=> 2 × 1 = shadow size
=> 2m = shadow size
You can tell me the specific questions so that I can help.
The scale 1:500 000 means 1 unit on a map represents 500000 in real life
What are scales?Scales are used to represent big or small measurements on a map or graph
How to interpret the scale?The scale is given as:
1:500 000
The above means that:
1 unit on a map represents 500000 in real life
Read more about scale at:
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Consider the diagram.
What is the length of segment AB?
9
16
ОООО
18
B)
9
С
Answer:its 9
Step-by-step explanation: got it right on edge
(Trigonometry) Find the values of x and y. Round your answers to the nearest tenth.
Answer:
[tex]x = 38.1[/tex]
[tex]y = 23.4[/tex]
Step-by-step explanation:
The given triangle is a right triangle. This is indicated by the box around one of the angles, signifying that the angle measure is (9) degrees. By its definition, a right triangle is a triangle with a (90) degree angle, thus the given triangle is a right triangle. In this situation, one can use right-angle trigonometry to find the value of the unknown side. In essence, right triangle trigonometry provides one with a series of ratios to describe the relationship between the sides and angles of the right trinagle. These ratios are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Keep in mind that the way a side is named is relative to the angle it is being described from. Thus, the (opposite) and (adjacent) sides acquire different names based on the angle relative to them. However, the (hypotenuse) is the hypotenuse no matter the angle, as the hypotenuse is the side opposite the right angle.
Solve for (y) first. One is given the angle measure and the measure of the side opposite the angle measure. One is asked to find the measure of the side adjacent to the angle. Use the ratio of tangent (tan) to achieve this.
[tex]tan(\theta)=\frac{opposite}{adajcent}\\[/tex]
Substitute,
[tex]tan(52)=\frac{30}{y}[/tex]
Inverse operations,
[tex]y=\frac{30}{tan(52)}[/tex]
Simplify,
[tex]y = 23.4386[/tex]
Now solve for the hypotenuse (x). One could use the Pythagorean theorem to do this, but since this is trigonometry, one might as well use the trigonometric ratios. One is given an angle, as well as the side opposite the angle, one is asked to find the hypotenuse. To do this, one can use the trigonometric ratio of sine (sin).
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(52)=\frac{30}{x}[/tex]
Inverse operations,
[tex]x=\frac{30}{sin(52)}[/tex]
Simplify,
[tex]x = 38.0705[/tex]
Two positive numbers have a difference of 21. The larger number is five more than twice the smaller. Find the two numbers.
WILL GIVE BRANLIEST! pls help ty! ( ignore the selected answer i just pressed one on accident )
Answer: It's C basically they just have to mirror each other, i hope i helped
Step-by-step explanation:
Answer: I believe the answer is D.
Step-by-step explanation:
please answer thisssssssssss
Answer:
Range = 3
Step-by-step explanation:
Data set : 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3
Range = Largest Number — Smallest Number
Range = 3 - 0
Range = 3
Hope this helps!
The batting averages for five baseball players are listed below.
0.125, 0.312, 0.256, 0.287, 0.193
What is the mean absolute deviation of the batting averages?
OA
0.2346
OB. 0.256
C. 0.06048
D. 0.187
Reset
Next Question
Answer:
A. 0.2346
Step-by-step explanation:
add all of the batting averages and divide by 5 (bc there are 5 of them)
39.76÷7.94
use compatible numbers and estimate
Answer:
5
Step-by-step explanation:
As for estimation, you may round 39.76 to the whole number, resulting in 40.
7.94 to 8
40 / 8 = 5
5 is your answer for the result of estimation
