I would say this study is observational-- if it was experimental, they would be doing something with the eels (like feeding them peanut butter to see if it makes them faster, or something like that). I would choose "Observational study, because the divers are not catching eels for a sample."
What is the biggest whole number smaller than the perimeter of any triangle with a side of length 5.6 and a side of length 19.7?
Answer:
50
Step-by-step explanation:
The perimeter of a Triangle is the sum of it's 3 sides.
We are given two sides here which is side length 5.6 and a side of length 19.7
Let's us represent the third side as x
Therefore
x + 19.7 + 5.6 = Perimeter of the triangle
We would have this equation
But it is important to know that every side of a triangle must be less than the sum of the other two sides, hence
x < 19.7 + 5.6
x < 25.3
Adding 25.3 to both sides to make the left side equal to the perimeter
perimeter = x+25.3 < 25.3 + 25.3 = 50.6
Therefore, 50.6 is the smallest whole number that is larger than the perimeter of the triangle in the question above.
Therefore, the biggest whole number smaller than the perimeter of the above triangle is 50
Answer:
39
Step-by-step explanation:
25.3<x>14.1
Because 5.6 +19.7=25.3
Because 19.7-5.6=14.1
And 25.3+14.1=39.4
WE NEED WHOLE NUMBER A LITTLE BIT SMALLER (cause thats the question)
S0, 39.4 turns into 39
Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2400ft3.
The Volume of the smaller prism is 37.5 ft³.
What is a Prism?Prism is a three-dimensional structure that has identical polygon bases, and other faces are identical parallelograms.
The volume of the prism is determined by the formula
V = Bh
B is the base area and h is the height of the Prism.
The scale factor is given as 1/4, as the volume of the larger prism is given.
The volume of the larger prism is 2400 ft³
the side lengths will be multiplied by 1/4
Let the base area is for the larger prism the area for the smaller prism will be equal to
A = (1/16) a
The height of the larger prism is h.
Height of the smaller prism will be (1/4)h
The volume of the smaller prism = (1/16)*(1/4) Volume of the Larger Prism
The volume of the smaller prism = 2400 / (16*4)
The volume of the smaller prism = 37.5 ft³.
To know more about the Volume of Prism
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How many 4-digit numbers can be formed using only the digits 9, 8 and 7?
Answer:
isnt it 0
Step-by-step explanation:
They only gave 3 digits
y is directionally proportional to x
When y = 21, x = 5
Write an equation for y in terms of x
Answer:
y = 21/5x
Step-by-step explanation:
y is directly proportional to x
y = kx
Find k constant.
21 = 5k
21/5 = k
Plug k as 21/5.
y = 21/5x
Answer:
y=21/5x
Step-by-step explanation:
When y is 21, x is 5.
5(21/5)=21, so we have y=21/5x
A restaurant offers 6 choices of appetizer, 8 choices of a main meal, and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?
Answer:
377 choices
Step-by-step explanation:
From the above question, we are told that
A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses.
Let us represent each choice by :
A = Appetizer = 6
M = Main meal = 8
D = Dessert = 5
a) The combination of the 3 choices together
AMD=6 × 8 × 5=240
b) AM= Appetizer and Main meal
= 6 × 8 = 48
c) AD= Appetizer and Dessert
= 6 × 5 = 30
d) MD = Main meal × Dessert
= 8 × 5 = 40
e) A,M,D (each alone)=
Appetizer + Main meal + Dessert
= 6 + 8 + 5
= 19
Assuming all choices are available, how many different possible meals does the restaurant offer?
This is calculated as:
AMD + AM + AD + MD + A,M,D
240 + 48 + 30 + 40 + 19
= 377 choices
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
-2
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes.
Hey there! :)
Answer:
-2.
Step-by-step explanation:
To find the slope of a perpendicular line to y = 1/2x + 8, take the negative reciprocal of 1/2:
1/2 --> -2. This is the slope of a perpendicular line.
Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m?
Answer:
4x
Step-by-step explanation:
When you have a parallel line, the slope of the line is the same. So the slope of (-4,3),(-4,7)=4 would be the same as for example 4x+5
simplify the expression (-a+2b) - (3a-b)
Answer:
-4a+3b
Step-by-step explanation:
-a+2b-3a+b
-4a+3b
Answer:
-4a + 3bStep-by-step explanation:
Question = (-a+2b) - (3a-b)
1. Solve a
(-a - 3a)
= -4a
2. Solve b
(2b + b)
= 3b
3. Place variable together
-4a + 3b
The answer is -4a + 3b
Hope this helps,
Kavitha
GIVING BRANLIEST TO FIRST CORRECT ANSWER
Answer:
Step-by-step explanation:
y²+2by+b²-a²-6ad-9d²(y+b)²-(a²+2*3d*a+(3d)²)(y+b)²-(a+3d)²(y+b+a+3d)*(y+b-a-3d)Answer:
( y + b - a - 3d)(y + b + a + 3d).
Step-by-step explanation:
y^2 + 2by + b^2 - a^2 - 6ad - 9d^2
= y^2 + 2by + b^2 - (a^2 + 6ad + 9d^2)
= (y + b)^2 - (a + 3d)^2
This is the difference of 2 squares so we have
(y + b - (a + 3d))(y + b + (a + 3d))
= ( y + b - a - 3d)(y + b + a + 3d)
Which of the following inequalities could be represented by the graph?
Which equation can be used to solve for the measure of angle ABC? tan(x) = tan(x) = sin(x) = sin(x) =
Answer:
A. tan(x) = 2.4/10
Step-by-step explanation:
The question is incomplete and lacks the required diagram. Find the question and diagram attached below.
Which equation can be used to solve for the measure of angle ABC? tan(x) = 2.4/10 tan(x) =10/2.4 sin(x) =10/10.3 sin(x) =10.3/10
We will use the SOH CAH TOA identity to calculate the equation needed to solve for angle ABC.
In a right angled triangle, the side facing the acute angle ABC is the opposite, the longest side is the hypotenuse and the third side (base) is the adjacent.
From the diagram shown;
AB = hypotenuse = 10.3cm
AC = opposite = 2.4cm
BC = adjacent = 10cm
To get the angle x, we can use the SOH and TOA identity.
SOH means sin<ABC = opp/hyp
Sin(x) = AC/AB = 2.4/10.3
TOA ≈ Tan(x) = opp/adj
Tan(x) = 2.4/10
The equation that can be used to solve for the measure of angle ABC are therefore sin(x) = 2.4/10.3 OR tan(x) = 2.4/10
Based on the given option,
tan(x) = 2.4/10 is the only correct answer.
Answer:
in short its A.
Step-by-step explanation:
EDGE 2021
What is the value of x?
12 units
15 units
20 units
25 units
Need work shown please
Answer:
15=x
Step-by-step explanation:
a^2 + b^2=c^2
=9^2 +12^2 =x^2
=81 +144=x^2
=/225 =/x^2
=15=x
Answer:
x = 12
Step-by-step explanation:
Use the right triangle altitude theorem.
16/x = x/9
x^2 = 16 * 9
x^2 = 144
x = 12
Which inequality will have a shaded area below the boundary line?
A y-x>5
B. 2x-3y< 3
C. 2x-3y
D. 7x+ 2y<2
E. 3x+4y> 12
Answer:
D. 2y < 2
Step-by-step explanation:
To find the equation with shaded area below the boundary line, all we need to do is to examine each inequality and find the one which gives
+y < ( a constant)
We can leave out the x term for this.
For example:
A. y>5 clearly it is shaded above the line (because of the > sign)
B. -3y <3 => 3y > -3 so again it is shaded above
C. -3y is not even an inequality
D. 2y < 2 clearly it is shaded BELOW
E. 4y >12 clearly it is shaded above
See also attached diagram. The answer is represented by the purple area. All the other areas are shaded above the boundary line.
2/3x + 2= 21/3 solve for x a. 0 b. 1/2 c -2 d. 2
Answer:
x = 7.5
Step-by-step explanation:
2/3x + 2= 21/3
Subtract 2 from each side
2/3x + 2-2= 21/3-2
2/3x = 21/3 - 6/3
2/3x =15/3
2/3x = 5
Multiply each side by 3/2 to isolate x
2/3x * 3/2 = 5 *3/2
x = 15/2
There is a equilateral triangle with sides of 13 inches, how do I find the area of that triangle?
Answer:
73.18
Step-by-step explanation:
equilateral triangle means all sides are the same
A=(√3/4)a^2
A=(√3/4)*13^2
A=73.18 inches square
Answer:
73.18 square inches.
Step-by-step explanation:
To find the area of an equilateral triangle, we use a certain formula.
Where the side length is represented by s, the area is (sqrt(3))/4 * s^2.
Since s = 13, you will have (sqrt(3))/4 * 13^2 = 1.732050808/4 * 169 = 292.7165865/4 = 73.17914662. You can round that to 73.18.
So, the area of the triangle is 73.18 square inches.
Remember to use your units when presenting your answer, and hope this helps!
Find the volume of the trapezoidal prism in the figure 3m, 12m, 8m, 6m, 9m
Answer:
3+12+8+6+9= 28m
Step-by-step explanation:
The volume of the trapezoidal prism would be; 432m³.
How to determine the volume of a trapezoidThe volume of a trapezoid can be determined by the formula;
V = 1/2( a + b) h * l
Where a and b are the bases,
h = height
l = length
Given the figures, we can substitute the values as follows:
V = 1/2( 3 + 6) 8 * 12
= 432m³
So, the volume of the trapezoid is 432m³.
Learn more about trapezoids here:
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f(x) is a function.
3
5
2
10
15
0
f(x)
O A. True
O B. False
Answer:
False
Step-by-step explanation:
X = 5 goes to two different values of y so it is not a one to one correspondence. This is a relation not a function.
The table shows how an elevator 500 feet above the ground is descending at a steady rate. A two column table with 5 rows. The first column, time in seconds (t), has the entries, 0, 5, 10, 15. The second column, Height in feet h(t), has the entries, 500, 475, 450, 425. Which equation represents the height, h(t), of the elevator in feet, as a function of t, the number of seconds during which it has been descending?
Answer:
h(t)=-5t+-500
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i took the test
In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
Answer:
BD = 5
Step-by-step explanation:
∠A = 60°
Since AB = 20 = BC, Then ∠B = 60° resulting in a equilateral triangle with ∠C = 60°. Then dividing ∠DAE into half gives 4 = angles of 15° yielding each secition of BC being equal to 20/4 = 5. Do i don't think DE ≈ 9.28 cannot occur.
Find the zeros of y = x2 - 6x - 4 by completing the square.
A. x=-34/13
B. X- 3+ 118
CX13
D. x 316
Answer:
x = 3 ± [tex]\sqrt{13}[/tex]
Step-by-step explanation:
Given
y = x² - 6x - 4
To find the zeros let y = 0, that is
x² - 6x - 4 = 0 ( add 4 to both sides )
x² - 6x = 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = 4 + 9 , that is
(x - 3)² = 13 ( take the square root of both sides )
x - 3 = ± [tex]\sqrt{13}[/tex] ( add 3 to both sides )
x = 3 ± [tex]\sqrt{13}[/tex] ← exact solutions
Find the value of the discriminant (D) and describe the roots for the quadratic equation shown below.
y= ax + bx + c
y= x + 3x-4
A. D= -7 and the roots are irrational.
B. D = 22 and the roots are irrational.
C. D= 25 and the roots are rational.
D. D=5 and the roots are rational.
Answer: C
Step-by-step explanation:
y = ax + bx + c is the general equation for quadratic function. While the discriminant D is
D = b^2 - 4ac
You are given the equation:
y = x^2 + 3x - 4
Where a = 1, b = 3 and c = -4
Substitutes all the parameters into the discriminant D formula
D = 3^2 - 4 × 1 × -4
D = 9 - ( - 16 )
Open the bracket
D = 9 + 16
D = 25
Therefore, D = 25 and the roots are rational
Determine the measure of ∠A. answers: 1) 192° 2) 88° 3) 84° 4) 168°
Answer:
m∠A = 168°
Step-by-step explanation:
The degrees of an arc is the same as the degrees of its corresponding angle.
The Statue of Liberty weighs about 2.04 x 105 kg. The Washington Monument weighs about 9.07 x 107 kg. About how many more kilograms does the Washington Monument weigh than the Statue of Liberty?
Answer:
[tex]9.05 * 10^{7} kg[/tex]
Step-by-step explanation:
Given
[tex]Statue\ of\ Liberty\ =\ 2.04 * 10^5 kg[/tex]
[tex]Washington\ Monument\ =\ 9.07 * 10^7 kg[/tex]
To get the number of kilograms the Washington Monument weighs more than the Statue of Liberty, we simply calculate the difference;
Difference = Washington Monument - Statue of Liberty
[tex]Difference = \ 9.07 * 10^7 kg - \ 2.04 * 10^5 kg[/tex]
Expand [tex]10^7[/tex]
[tex]Difference = \ 9.07 * 10^{5+2} kg - \ 2.04 * 10^5 kg[/tex]
[tex]Difference = \ 9.07 * 10^{5} * 10^2 kg - \ 2.04 * 10^5 kg[/tex]
Take out the common factor in the above expression
[tex]Difference = 10^{5}\ (\ 9.07 * 10^2 kg - \ 2.04\ kg)[/tex]
[tex]10^2 = 100;[/tex] so we have
[tex]Difference = 10^{5}\ (\ 9.07 * 100 kg - \ 2.04\ kg)[/tex]
[tex]Difference = 10^{5}\ (\ 907 kg - \ 2.04\ kg)[/tex]
[tex]Difference = 10^{5}\ (904.96\ kg)[/tex]
Open bracket
[tex]Difference =904.96 * 10^{5} kg[/tex]
Write in standard form
[tex]Difference =9.0496 * 10^2 * 10^{5} kg[/tex]
[tex]Difference =9.0496 * 10^7 kg[/tex]
[tex]Difference =9.05 * 10^7 kg[/tex] (Approximated)
Hence, he Washington Monument weigh more than the Statue of Liberty by about [tex]9.05 * 10^{7} kg[/tex]
Answer:
it is d i just did the 4 quiestion assignment by the learning odessy
Step-by-step explanation:
Find the missing side lengths. Leave your answers as radicals in simplest form.
10 POINTS!!! ANSWER PLZ
Answer:
D.
[tex]u =3[/tex]
[tex]v =\sqrt{3}[/tex]
Step-by-step explanation:
Given
The triangle in the diagram above
Required
Find the missing lengths, u and v
To find the missing lengths, we have to check the relationship between the missing lengths, the given length and the given angle;
From trigonometry;
[tex]sin\ \theta = \frac{Opp}{Hyp}[/tex]; Where Opp = Opposite and Hyp = Hypotenuse
From the attached diagram;
[tex]\theta = 30[/tex]
[tex]Opp = v[/tex]
[tex]Hyp = 2\sqrt{3}[/tex]
[tex]sin\ \theta = \frac{Opp}{Hyp}[/tex] becomes
[tex]sin\ 30 = \frac{v}{2\sqrt{3}}[/tex]
Multiply both sides by [tex]2\sqrt{3}[/tex]
[tex]2\sqrt{3} * sin\ 30 = \frac{v}{2\sqrt{3}} * 2\sqrt{3}[/tex]
[tex]2\sqrt{3} * sin\ 30 = v[/tex]
In radians, [tex]sin30 = \frac{1}{2}[/tex]
[tex]2\sqrt{3} * \frac{1}{2} = v[/tex]
[tex]\sqrt{3} = v[/tex]
[tex]v =\sqrt{3}[/tex]
Similarly, From trigonometry;
[tex]cos\ \theta = \frac{Adj}{Hyp}[/tex]; Where Adj = Adjacent
From the attached diagram;
[tex]\theta = 30[/tex]
[tex]Adj = u[/tex]
[tex]Hyp = 2\sqrt{3}[/tex]
[tex]cos\ \theta = \frac{Adj}{Hyp}[/tex] becomes
[tex]cos\ 30 = \frac{u}{2\sqrt{3}}[/tex]
Multiply both sides by [tex]2\sqrt{3}[/tex]
[tex]2\sqrt{3} * cos\ 30 = \frac{u}{2\sqrt{3}} * 2\sqrt{3}[/tex]
[tex]2\sqrt{3} * cos\ 30 = u[/tex]
In radians, [tex]cos30 = \frac{\sqrt{3}}{2}[/tex]
[tex]2\sqrt{3} * \frac{\sqrt{3}}{2} = u[/tex]
[tex]\sqrt{3} * \sqrt{3} = u[/tex]
[tex]3 = u[/tex]
[tex]u =3[/tex]
Fill in the blanks please
Answer:
Step-by-step explanation:
MNOP is a parallelogram Given
PM // ON opposite sides of parallelogram are parallel
∠ NOM = ∠ONP Alternate angles theorem
MN // OP opposite sides of parallelogram are parallel
∠NOP =∠ MNO Alternate angles theorem
ON = ON common to both triangles ΔOMN & ΔONP
ΔOMN ≅ ΔONP ASA congruent
PM ≅ ON CPCT -Corresponding Part of Congruent triangle
Suppose that Fx) = xº and G(x)= -3x. Which statement best compares the
graph of G(x) with the graph of F(x)?
Answer:
Vertical Stretch, Reflection over the x-axis
Step-by-step explanation:
y = −f(x) is a reflection of the graph y = f(x) in the x-axis
Reflection over the x-axis
a f(x) If |a| is greater than 1, then vertical stretch.
Vertical Stretch
(4x - 3) - (5x - 7) 4x - (3y - 2x) Please answer both
Answer: #1: -x + 5 #2: 6x - 3y
Step-by-step explanation:
Question:
(4x - 3) - (5x - 7)
Distribute Negative
(4x - 3) + (-5x + 7)
Add like terms
Final Answer:
-x + 5
Question:
4x - (3y - 2x)
Distribute Negative
4x + (-3y + 2x)
Add like terms
Final Answer:
6x - 3y
<!> Brainliest is appreciated! <!>
━━━━━━━☆☆━━━━━━━
▹ Answer
(4x - 3) - (5x - 7) = -x + 4
4x - (3y - 2x) = 6x - 3y
▹ Step-by-Step Explanation
(4x - 3) - (5x - 7)
Remove the parentheses
4x - 3 - (5x - 7
Collect like terms
-x - 3 + 7
Final Answer
-x + 4
Hope this helps!
- CloutAnswers ❁
4x - (3y - 2x)
Remove the parentheses
4x - 3y + 2x
Collect like terms
6x - 3y
Final Answer
6x - 3y
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
The diagram shows a 5 cm x 5 cm x 5 cm cube.
Calculate the length of the diagonal AB.
Give your answer correct to 1 decimal place.
Answer:
8.7 cm
Step-by-step explanation:
The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)
Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So
a^2 +b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
√50 = c
Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).
a^2 +b^2 = c^2
√50^2 + 5^2 = c^2
50 + 25 = c^2
√75 = c
c = 8.6602...
when rounded to 1 d.p.
c = 8.7
Line AB is 8.7 cm long.
If the tangent value is 33*, the cotangent value to the hundredths degree is: 0.65 0.649 1.54 1.540
Answer:
1.54
Step-by-step explanation:
The cotangent value is referred to as the reciprocal or the opposite of a given tangent value. Cotangent is also referred to as it's short form called cot
Mathematically, Cotangent (cot) = 1/tan
In the above question, we are given a value where:
tan = 33°
Cotangent (cot) = 1/tan 33°
Cotangent (cot) = 1.5398649638
We are told to approximate to the nearest hundredth
= 1.54
A moth of a year is chosen at random what is the probability that the month starts with the letter j or the letter M? 5/24p
Answerr:
Step-by-step explanation: