Answers
#6) 232/15 = 15.4666
sqrt(15.4666) = 3.932
3.932 * 3.932 x 15 = 231.91
so edge is approximately 3.9 m
#7) 232/2 = 116
sqrt(116)=10.770
10.77 * 10.77 * 2 = 231.99
so edge is approximately 10.8 m
Related Questions
What are the solutions to the equation (2x-5)(3x-1)=0?
Answers
2x-5 = 0 or 3x-1= 0
2x = 5 3x = 1
x = 5/2 x = 1/3
Answer: x=5/2; x=1/3
The answer is C. x = [tex]\frac{5}{2}[/tex] 0r x = [tex]\frac{1}{3}[/tex]
the slopes of two lines are 5/6 and 2/p determine the value of p that will make the lines parallel
Answers
so 5/6 = 2/p
so p =2.4
DOES ANYONE KNOW THE ANSWER???
Answers
Paul has grades of 63 and 81 on his first two tests. What must he score on his third test in order to have an average of at least 70
Answers
60+81+s≥210 combine like terms on left side
141+s≥210 subtract 141 from both sides
s≥69
So Paul will have to score 69 or more on his next test in order to have an average of at least 70.
Regroup hundreds as Tens:
8 hundreds 9 tens =
Answers
89
Instructions:Select the correct answer. You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you construct using these measurements? 0 1 2 infinitely many
Answers
Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.
By calculation, the length of the 3rd side is calculated using cosine law:
c^2 = a^2 + b^2 – 2abcosθ
c^2 = 10^2 + 8^2 – 2(10)(8)cos40
c = 6.44 cm
ANSWER:
1 triangle
Find the length of the missing side. If necessary, round to the nearest tenth. side A = 38 side b =b side c = 34
A. 51
B. 36
C. 72
D. 17
Answers
38^2+34^2 = 50.99^2, rounding 51!!
The length of the missing side = side B = 17 (D) or 51(A)
Further explanationTriangles are flat fields bounded by 3 intersecting sides and 3 angles
This side can be the same length or different.
If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle
There is a hypotenuse in this triangle which is the sum of the two sides
[tex]\large{\boxed{\bold{C^2=A^2+B^2}}[/tex]
where c = hypotenuse
a and b = side/leg
This formula is known as the Pythagorean theorem which states that:
the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.
or
the sum of the squares of the length of the two sides equals the square of the length of the hypotenuse
While the angle formulas used are
sin a = opposite / hypotenuse cos a = adjacent / hypotenuse tan a = opposite / adjacent
From the problem it is known that side A = 38 ,side b = b, side c = 34
There are 2 possible solutions to this problem because the image does not exist:
1. side A as the hypotenuse side (the longest side) 2. side B as hypotenuse sidePossible Solution no 1
A² = C²+B²(A=hypetenuse)
B² = A²-C²
B² = 38² - 34²
B² = 288
B = √288
B = 16.97, round to the nearest tenth ⇒ 17 (answer D)
Possible Solution no 2
B² = A²+C²(B=hypotenuse)
B² = 38² + 34²
B² = 2600
B = √2600
B = 50.99, round to the nearest tenth ⇒ 51 (answer A)
Learn more
the Sin rule
https://brainly.com/question/3324288
trigonometric ratio
https://brainly.com/question/9880052
the triangle angle
https://brainly.com/question/1611320
Prove the converse of the Pythagorean Theorem
https://brainly.com/question/1597216
Use Pythagoras' theorem
https://brainly.com/question/10488367
Keywords: Pythagoras' theorem, the trigonometric, hypotenuse
{ y=x^2-2x-6
y=4x+10
Answers
here is a solution
The triangle above is changed so that the exterior angle shown measures 128 how does this affect angles b and c
Answers
Answer:
the sum of the measures of angle B and angle C will also be 128 degrees meaning that the sum will decrease by 24 degrees.
Consider the following pair of equations: −x − y = −5 y = x + 1 If the two equations are graphed, at what point do the lines representing the two equations intersect? (−2, 3) (3, −2) (2, 3) (3, 2)
Answers
y = x + 1
-x -(x + 1) = -5
-x - x - 1 = -5
-2x = -5 + 1
-2x = -4
x = -4/-2
x = 2
y = x + 1
y = 2 + 1
y = 3
solution is : (2,3)
What is a proportion?
Answers
1 : 2
or
3 : 6
hope this helps
One side of the triangle is 8 in, and the other two sides are equal to a positive whole number of inches. What is the smallest possible perimeter of the triangle?
F. 9 in
G. 10 in
H. 11 in
J. 15 in
K. 17 in
Answers
If one side = 8 in and other two sides are equal to a positive whole number, then the smallest possible sum of the other two sides = 9 in ⇒
Smallest possible perimeter = 8 + 9 = 17 in
Write y less than 21
Answers
"y less than..." means the y variable is less than something. "... 12" Which is 12.
In mathematics we use the < symbol to indicate "less than"
So, y < 12 is the answer.
Answer:
21-y
Step-by-step explanation:
In mathematics the signs used for more than is + and for less than is -.
The question is asking us to write y less than 21 in mathematical statement form.
y less than 21 means 21-y,
Hence the mathematical statement for y less than 21 is 21-y.
0, 7, 26, 63, _ , 215.
What is the missing number in the given sequence?
What is the pattern?
Answers
1^3 - 1 = 0
2^3 - 1 = 7
3^3 - 1 = 26
4^3 - 1 = 63
5^3 - 1 = 124 <== ur missing number
6^3 - 1 = 215
The correct answer to the question *interquartile range
Answers
You find this by subtracting the values of Q3 and Q1
Q3 is the right most edge of the box which is 45
Q1 is the left most edge of the box which is 25
IQR = Q3 - Q1 = 45 - 25 = 20
Side Note: The median is not 45. The median is actually 40 since this is the middle line of the box, which is in between 35 and 45
What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?
Answers
slope = (-10 - (-1) / (5 - 2) = -9/3 = -3
y = mx + b
slope(m) = -3
use either of ur points....(2,-1)...x = 2 and y = -1
now we sub and find b, the y int
-1 = -3(2) + b
-1 = -6 + b
-1 + 6 = b
5 = b
so ur equation is : y = -3x + 5 <==
write an integer for the situation below : 13 feet below the sea level
Answers
So, -13 feet is the answer.
99PTS (08.06)The data set shows the number of cars parked in the restaurant parking lot during the lunch hour each day for two weeks: 8 7 14 10 13 27 11 10 14 7 12 9 14 9 Which of the following statements is true based on the data set?
Answers
1. Solve -2n + 5 > 7.
2. Kia experimental probability of striking out at baseball is 13%. Out of 30 times at bat about how many times will she strike out?
Answers
Subtract 5 from both sides
-2n > 2
Divide both sides by -2
n < -1 (change inequality sign when dividing by a negative)
2. 13% of 30 =
.13 * 30 = 3.9
Approximately 4 times
Select all of the following expressions that are equivalent to ab - 2 = c
a = c/b -2
b = c + 2/a
ab = c + 2
a - c/2 = b
b - 2/c = a
a = c + 2/b
Answers
Answer:
Option C.
Step-by-step explanation:
The given expression is ab - 2 = c
Option a : a = [tex]\frac{c}{b}[/tex] - 2
ab = c - 2b
Not equivalent to the original expression.
Option b : b = c + [tex]\frac{2}{a}[/tex]
ab = ac + 2 ⇒ [tex](\frac{ab-2}{a})[/tex] = c
Not equivalent
Option c : ab = c + 2
ab - 2 = c
Equivalent to original expression
Option d : a - [tex]\frac{c}{2}[/tex] = b
2a - c = 2b
Not equivalent
Option e : b - [tex]\frac{2}{c}[/tex] = a
bc - 2 = ac ⇒ c (b-a) = 2 ⇒ c = [tex]\frac{2}{b-a}[/tex]
Not equivalent
Option f : a = c + [tex]\frac{2}{b}[/tex]
ab = bc + 2
[tex](\frac{ab-2}{b} )[/tex] = c
Not equivalent
A vineyard owner hires 25 people to harvest grapes. The vineyard covers 30 acres. The harvest takes 9 days to complete. A neighbour has a vineyard measuring 20 acres and needs his harvest finished in 5 days. Assuming all people work at the same rate, how many people should he hire?
Please show working out.
Answers
In the first vineyard, it needs 25 people working for 9 days to finish 30 acres of vineyard. Using this information you can determine the worker speed. The number of worker and days were given will increase the speed, but the area of the vineyard will decrease it. The calculation would be:
Worker speed= worker number * times given / vineyard area
Worker speed= 25 people * 9 days / 30 acres = 7.5 people days /acres
Applying the same calculation into the second vineyard would be:
Worker speed= worker number * times given / vineyard area
7.5 people days /acres = worker number * 5 days / 20 acres
Worker number= (7.5 people days /acres ) / 5 days x 20 acres= 30 people
What is the constant of variation for the quadratic variation? 6y = 4x2
Answers
If the divisor is 40 what is the least three digit dividend that would give a reminder four
Answers
Dividend = Divisor × Quotient + Remainder, where R<D
for example:
115 = 7*16+3, tells us that we can fit 7 into 115 at most 16 times,
Back to our problem, the Dividend is a 3 digit number, say abc, the divisor is 40 and the remainder is 4, so we have:
Dividend = Divisor × Quotient + Remainder
abc = 40 × Quotient + 4
we can try some values for the Quotient, but it almost immediately clear that the smallest Quotient that will produce the smallest dividend is 3:
40*2+4=80+4=84 (not 3 digit)
40 * 3 + 4=120+4=124 (the smallest 3 digit dividend)
Answer: 124
Ali needs 4/10 yard of red ribbon and 5/10 yard of blue ribbon to make a tail for her kite. how much ribbon does Ali need in all?
Answers
How do i solve this equation: 4/5a + 3 = 1/3a - 8
Answers
[tex] \frac{4}{5}a + 3 - \frac{1}{3}a - 8 - \frac{1}{3}a [/tex]
Which [tex]gives [/tex] us: [tex] \frac{7}{15}a + 3 = -8 [/tex]
[tex]Now, [/tex] that we got these [tex]steps[/tex] out of the way, let's [tex]subtract [/tex] [tex]3[/tex] from the sides you're working with!
[tex] \frac{7}{15}a + 3 - 3 \\ = -8 -3 [/tex]
[tex] \frac{7}{15}(a) = -11[/tex]
We have gotten these [tex]steps [/tex] out of the way now lets [tex]multiply [/tex] by [tex] \frac{15}{7} [/tex] on your [tex]sides[/tex] because, it is the [tex]reciprocal [/tex] of [tex] \frac{7}{15} [/tex]
So, [tex] \frac{15}{7}( \frac{7}{15}a ) = \frac{15}{7} (-11)[/tex]
Cancel out: [tex] \frac{15}{7}( \frac{7}{15} )[/tex] because, it equals to:[tex]1[/tex]
[tex] \frac{15}{7}(-11) = \frac{-165}{7} [/tex]
Therefore, your [tex]answer [/tex] is: [tex] \frac{-165}{7} [/tex] [tex]aka[/tex] [tex] 23\frac{4}{7} [/tex]
Good luck on your assignment and enjoy your day
~[tex]MeIsKaitlyn:)[/tex]
A pyramid and prism have the same base area and height. The prism's base area is 8 square units and its height is 16 units. What is the volume of the pyramid? The volume of the pyramid is __________ cubic units. Enter the number that correctly fills in the blank in the previous sentence.
Answers
8 units² (base area)
16 units (height)
Because the dimensions are the same...
Pyramid dimensions:
8 units² (base area)
16 units (height)
The volume for a pyramid = 1/3 ba * h
Substitute and solve.
1/3 8 * 16
= 1/3 (128)
= 42.66...
Therefore the volume is approximately 42.67cm³
The volume of the pyramid with a base area of 8 square units and a height of 16 units is 42.67 cubic units.
The volume of a pyramid is calculated as one-third of the base area times the height. The base area of the given pyramid is 8 square units and the height is 16 units. Using the formula for volume V = rac{1}{3}Ah, where A is the base area and h is the height, the volume of the pyramid can be found as follows:
V = rac{1}{3} imes 8 imes 16
V = rac{1}{3} imes 128
V = 42.67 cubic units (rounded to two decimal places).
Therefore, the volume of the pyramid is 42.67 cubic units.
Which class has 32% girls?
Answers
draw a diagram of eli's walking pattern
Answers
|
|
|
|
|
|
|
v----------------------------->
---------------<
He travelled down 12 feet towards the door, out of the door towards the yard in 32 feet, and back towards the house in 14 ft.
b. He walked a total of 12 + 32 + 14 = 58 ft
c.
32 - 14 = 18 ft
He is 18 ft from the house (door)
Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answers
4x+1y = 45 {Second Equation}
subtract x+y=27 from 4x+1y=45 if doing elimination.
(You could do it by either elimination or substitution to get )-----
x=6 that is the number of vanilla wafers.
and y =21 that is the number of Chocolate wafers.
If you need further help, please let me know.....
Vanilla wafers cost $4 per packet
and chocolate wafers for $1 per packet
They spent a total of $45 .
This means that the equation that can be formed using this information is:
4x+y=45
and they buy a total of 27 packets of wafers.
i.e. the equation formed with the help of this information is:
x+y=27
PART A:
The system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival is:
4x+y=45-------------------(1)
and x+y=27----------------(2)
PART B:
We will use the method of substitution because with the help of this method we could easily substitute the value of one variable in terms of the other variable and obtain the answer.
Using equation (2) we have:
y=27-x-------------------(3)
On putting this value of y in equation (1) we have:
4x+27-x=45
i.e.
4x-x+27=45
i.e.
3x+27=45
i.e.
3x=45-27
i.e.
3x=18
i.e.
x=6
and on putting the value of x in equation (3) we have:
y=27-6
i.e. y=21
Hence, number of vanilla wafers purchased = 6
and number of chocolates wafers purchased = 21
The value of 4 in 3,492 is how many times the value of 4 in 704?