Q3. a. Simplify the following ratios.
360:120:60
Answer:
6：2：1
Step-by-step explanation:
360÷60=6
120÷60=2
60÷60=1
a gardener is starting a new square garden and will enclose it with 100 meters of fencing. he wants to determine the area of this garden let A represent the area of the garden in square meters
The area of the garden is 625 square meters.
What is perimeter?We know that the perimeter of a square is equal to the sum of all four sides. Since the gardener is using 100 meters of fencing to enclose the garden, and since the garden is a square, we can set the perimeter equal to 100 meters:
P = 4s
100 = 4s
Where P is the perimeter, and s is the length of one side of the square.
We can solve for s by dividing both sides of the equation by 4:
s = 100/4 = 25
Since the area of a square is equal to one side of the square squared, we can find the area of the garden by squaring the value of s:
A = s^2
A = 25^2
A = 625
So the area of the garden is 625 square meters.
To know more about Perimeter visit:
https://brainly.com/question/30252651
#SPJ1
The base of an isosceles triangle is 7cm long. Each of the other sides is x cm long. What will be the expression for its perimeter?
Answer:
P = 2x + 7
Step-by-step explanation:
calculate the mass of air in a room with internal measurement 6 metre by 4 metre by 9 metre if the density of air is 1.3 m³
Answer:
9.4.6=216
216.1,3=280
Step-by-step explanation:
[tex] \huge\hookrightarrow \mathbb{ \color{gold}Answer}[/tex]
We know,
[tex] \boxed{volume = l \times b \times h}[/tex]
so,
[tex]\hookrightarrow{volume = 6 \times 4 \times 9}[/tex]
[tex]\hookrightarrow volume = 216 \: m {}^{3} [/tex]
now,
[tex] \boxed{density = \frac{mass}{volume} }[/tex]
So,
[tex] \hookrightarrow1.3 = \dfrac{m}{216} [/tex]
[tex]\hookrightarrow \: m = 216 \times 1.3[/tex]
[tex] \hookrightarrow \: m = 280.8[/tex]
hence, mass of air in the room is 280.8 kg
Identify the binomial that is a factor of the polynomial P(x) = 2x^3 + 12x^2 − 26x − 84.
A. x+7
B. x-7
C. 2x-4
D. x+3
Answer: x + 7
Step-by-step explanation:
Neville buys a triangular box with three chocolate cauldrons. The box is an equilateral triangle with three circles with a radius of 6 inches inscribed inside it. What is the perimeter of the triangle?
Using the radius of the circle given, the perimeter of the equilateral triangle is 48 inches
What is Perimeter of Equilateral TriangleThe perimeter of an equilateral triangle is three times the length of one side. Thus, if the length of one side is 'l', the perimeter of the triangle is 3l.
In this problem, the equilateral triangle has 3 circles inside with radius of 6 inches each.
Assuming the circles when combined will cover the entire triangle.
The diameter of the circle = 6 * 2 = 12 in
The length of the equilateral triangle = 2 * 12 = 24in
However, we already know the perimeter of an equilateral triangle is three times the side length of the triangle.
Perimeter of equilateral triangle = 3 * 24
Perimeter = 48 in
Learn more on perimeter of an equilateral triangle here;
https://brainly.com/question/27474706
#SPJ1
A researcher hypothesizes that the variation in the amount of money spent on business dinners is greater than the amount spent on lunches. The variance of the cost of nine business dinners was and the variance on 12 lunches was . What test value should be used in an F test
Multiple Choice 8th Grade Math, please help your a legend if so!
Answer:
2
Step-by-step explanation:
Answer:
It's 2 weve done the worksheet ;)
Step-by-step explanation:
Two tanks contain the same
proportion of gas to its capacity. The
26 gallon tank has 14 gallons of gas
in it. The second tank has 112
gallons in it. How many gallons can
the 2nd tank hold?
Answer:
208
Step-by-step explanation:
Set up proportion
14/26=112/x
Cross multiply and solve for x
14x=2912
x=208
Can someone pls give me the answer to this?
Answer:
B
Step-by-step explanation:
The area of a rectangular room is 104 square feet. The length of the room is 5 feet longer than the width. Find the dimensions of the room.
Answer:
The dimensions of the room is 8 and 13 feet.
Carlos bought two packages of rope, each containing 12 feet of
rope. He needs to cut pieces of rope that are each 20 inches in
length. What is the greatest number of pieces that he can cut
from these two packages of rope?
1 foot = 12 inches
Answer: 14 pieces.
Step-by-step explanation: 1 foot = 12 inches
12 feet of rope = 144 inches of rope
144 / 20 = 7.2 = 7 sections can be cut from each package.
The greatest number of pieces from 2 packages = 14 pieces
Answer
14 pieces
Step-by-step explanation:
First you need to convert the 24 feet into inches. Do this by multiplying 24 (feet) by 12 (inches) since 1 foot has 12 inches in it and you have 12 feet. This means he has 288 inches of rope. Then divide 288 by 20 since he wants to see how many 20 inch pieces he can cut. You should get 14.4 but since it asks for the greatest number of pieces you need to round it down to 14 since he wants full 20 inch pieces.
Does anybody know the equation to this?
Answer:
+3, +1
I think this is the answer because if its asking about the chart it is adding 3 on the x-axis and adding 1 on the y-axis
Hope this helps :)
An equilateral triangle with side lengths of 8.7 centimeters is shown. An apothem has a length of a and the radius has a length of 5 centimeters. The apothem and radius form a triangle with a base length of b. Which statements about finding the area of the equilateral triangle are true
The options (a),(b) and (d) are true regarding the apothem of equilateral triangle.
What is an apothem of a polygon?
A line segment from a regular polygon's centre to one of its sides is known as the apothem.
The given options are the following:
a)The apothem can be found using the Pythagorean theorem.
b)The apothem can be found using the tangent ratio.
c)The perimeter of the equilateral triangle is 15 cm.
d)The length of the apothem is approximately 2. 5 cm.
e)The area of the equilateral triangle is approximately 65 cm².
Now we will see if each option is true or not
a) From below figure,
b = 8.7 / 2 = 4.35 cm
From right angled triangle ΔABD,
Using Pythagorus Theorem,
a² + b² = 5²
a² + 4.35² = 5²
a = [tex]\sqrt{5^{2} - 4.35^{2} }[/tex] = 2.5 cm
Apothem can be found using Pythagorus Theorem.
b) From the figure, the radius divide the angle 60° of equilateral triangle to two 30° angles.
So from ΔABD,
tan 30° = a / 4.35
0.577 = a / 4.35
a = 2.5 cm
The apothem can be found using tangent ratio.
c) Perimeter of given equilateral triangle = 3 × side length
= 3 × 8.7 = 26.1 cm
This option is false.
d) From options (a) and (b) we found that length of apothem a = 2.5 cm
Therefore this option is true.
e) The area of given equilateral triangle = [tex]\frac{\sqrt{3} }{4} } * side^{2}[/tex] = [tex]\frac{\sqrt{3} }{4} * 8.7^{2}[/tex]
= 32.8 cm²
Therefore this option is false.
Therefore options (a),(b) and (d) are true regarding the apothem of equilateral triangle.
To learn more about apothem, follow the link.
https://brainly.com/question/14525134
#SPJ4
At what point the graph of linear equation 2x 3y 6 cuts the Y-axis A 0 2 B 4 0 C 2 6 D 2 0?
The graph of the given linear equation 2x+3y=6 cuts the Y-axis at A(0,2).
For the graph of linear equation to cut the Y-axis its X-co-ordinate should be zero as abscissa is zero on Y-axis or the equation of Y-axis is x=0. Also the set of coordinates should satisfy the equation.
From the given set of coordinates, A(0,2) B(4,0) C(2,6) D(2,0), it is clear that the graph of the equation 2x+3y=6 cuts the Y-axis at A as it’s X-co-ordinate or abscissa is zero. So, it satisfies the first condition.
To satisfy the second condition the points of a should satisfy the equation given
LHS= 2x+3y
RHS=6
A(0,2)
Substituting the values of x and y in 2x+3y,
2(0)+3(2)=6
Therefore LHS=RHS
Hence, at point A(0,2) the graph of the given equation cuts the Y axis.
more about linear equation:
https://brainly.com/question/27664510
#SPJ4
Suppose the dimensions of a rectangular pyramid are doubled. How does this affect its volume?
The volume is 4 times the original volume.
The volume is 2 times the original volume.
The volume is 9 times the original volume.
The volume is 8 times the original volume.
Answer:
I think its 2 times the original volume, im so sorry if im wrong!!
Step-by-step explanation:
Edit: I thought it was two but i guess it was 4, heres the real answer for people who were wondering, im so sorry!!
Solve the simultaneous equations
4x+5y=−19
6x−3y=24
What is the measure of angle WTV (mZWTV)?
130°
60°
w
U
90°
o None of the other answers are correct
o 60°
o 45°
O 30°
o 90°
Answer:
Step-by-step explanation:
45? Let me know if im wrong
Answer:
Step-by-step explanation:
The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x
Answer:
85.1 ft
Step-by-step explanation:
The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x
We solve using the Trigonometric function of Cosine
cos y = adjacent/hypotenuse
y = angle = 20°
Adjacent = 80 ft
Hypotenuse = ?
cos 20 = 80/Hypotenuse
Hypotenuse = 80/cos 20
x = 85.134221798 ft
Approximately = 85.1 ft
Length of the slide = 85.1 ft
Make a tree diagram to show the sample space and then give the total number of outcomes.
choosing a letter from the word SPACE and choosing a consonant from the word MATH
a. 12
C. 15
b. 8
d. 9
Answer:
C. 15
Step-by-step explanation:
5 options from the word SPACE (all letters work)
multiplied by 3, the number of consonants in the word MATH
5 x 3 = 15
Make a box plot for the given data : 17,29 ,32,30,14,9,39,10,32,23
Answer:
It can't add a plot for those numbers-
Step-by-step explanation:
If 27³+27³+27³=27x,what is the value of x?
Answer:
x = 2,187
Step-by-step explanation:
27×27×27+27×27×27+27×27×27 =27x
19,683+19,683+19,683 =27x
59,049 = 27x
divide both sides by the coefficient of x ( 27 )
59,049 / 27 = 27x / 27
x = 2,187
Please help me, find the circumference of the circle use 3.14
a) What type of triangle is triangle ABC? b) Give reasons for your answer. I need the correct answer for B with Reasons Not "ab and ac are the same" any word other than the same
Answer:
Δ ABC is isosceles
Step-by-step explanation:
∠ ABC and ∠ BCE are alternate angles and are congruent , that is
∠ BCE = ∠ ABC = 80°
since DE id a straight line then the angles lying on it sum to 180° , that is
∠ ACD + ∠ ACB + ∠ BCE = 180°
50° + ∠ ACB + 80° = 180°
∠ ACB + 130° = 180° ( subtract 130° from both sides )
∠ ACB = 50°
∠ BAC and ∠ ACD are alternate angles and are congruent , that is
∠ BAC = 50°
then
∠ BAC = ∠ ACB = 50°
Since the 2 base angles are congruent then Δ ABC is isosceles
Numbered meridians Group of answer choices are semicircles are east-west lines diverge as they near the poles are the same thing as parallels are numbered from 0-100 in three hemispheres
Numbered meridians are semicircles.
On a map of the planet, the Prime Meridian is an illustrative line. It serves as the origin of the longitude system of measurement. Meridians, a system of fictitious north-south lines, make up longitude. The planet Earth rotates like a ball. The Earth's axis serves as the spin's focal point.
The North Pole and the South Pole are where the axis intersects the surface of the planet. The North Pole and the South Pole are the points on each meridian. Meridians are used to calculate how far away from the prime meridian you are in degrees east or west.
To learn more about Numbered here:
https://brainly.com/question/14712183
#SPJ4
Help me out with this question (geometry)
angle 1 + angle 2 = 180
3x - 5 + 6x + 14 = 180
9x + 9 = 180
9x = 171
9x/9 = 171/9
x = 19
Can someone please help me? :(
Answer:32 17/18
Step-by-step explanation:
33 + (1/9)(x)
x = -1/2
33 + (1/9)(-1/2) =
33 + -1/18
= 32 17/18
At summer camp this year, Clare is leading the beadwork class. Each of the 9 craft tables has a bucket of beads. The graph shows the weight of the beads in each bucket.
If Clare distributes all of the beads equally among the 9 buckets, how much will the beads in each bucket weigh?
The beads in each bucket will weigh 1 pound
How to determine the weight of the beads in each bucket?
A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.
From the graph, we have weights of 0, 1/2, 1 1/2 and 2 pounds.
In order for Clare to distributes all of the beads equally among the buckets, she need to add up weight of the beads and divide by 5.
weight in each bucket = (0 + 1/2 + 1 1/2 + 2)/5 = 5/5 = 1 pound
Thus, each bucket weighs 1 pound
Learn more about fractions on:
brainly.com/question/11562149
#SPJ1
Hey! I would appreciate some help with this
Answer:
...
Step-by-step explanation:
since they give us the side opposite of the given angle(Opposite) and we are trying to find for a (Adjacent/side), so we use TOA
tan(30)= [tex]\frac{4}{a}[/tex]
i see u dont want it solved but ill solve it anyways
since a is on the bottom then lets switch them
[tex]x=\frac{4}{tan30}[/tex]
x= 6.928
What are the zeroes of the polynomial 4x2 4x 3?
The zeroes of this polynomial equation is [tex]$4 x^2-4 x-3$[/tex] are [tex]\frac{3}{2}$[/tex] and [tex]$-\frac{1}{2}$[/tex].
First form the equation
As per the given data the given polynomial equation is [tex]$4 x^2-4 x-3$[/tex].
Here we have to determine the zeroes of a polynomial equation is [tex]$4 x^2-4 x-3$[/tex].
We know that the zeroes of a polynomial are evaluated by equating them with zero.
Therefore p(x)=0
[tex]& \Rightarrow 4 x^2-4 x-3=0[/tex]
Then solve to find the zeroes
[tex]& 4 x^2-4 x-3=0 \\[/tex]
[tex]& \Rightarrow 4 x^2-6 x+2 x-3=0 \\[/tex]
2x(2x - 3) + 1(2x - 3) = 0
(2x - 3) (2x + 1) = 0
[tex]& \Rightarrow x=\frac{3}{2},-\frac{1}{2}[/tex]
Then do verification
We know that for a given polynomial [tex]$a x^2+b x+c$[/tex]
Sum of the zeroes [tex]$=-\frac{b}{a}$[/tex] and product of the roots [tex]$=\frac{c}{a}$[/tex]
Sum of the zeroes [tex]$=\frac{3}{2}-\frac{1}{2}=1$[/tex]
Again, [tex]$-\frac{b}{a}=\frac{4}{4}=1$[/tex]
Product of the zeroes [tex]$=\frac{3}{2} \times-\frac{1}{2}=-\frac{3}{4}$[/tex]
Again, [tex]$\frac{c}{a}=-\frac{3}{4}$[/tex]
Thus, the relationship between the zeroes and the coefficients of the polynomial is verified.
Hence, the zeroes of this polynomial are [tex]\frac{3}{2}$[/tex] and [tex]$-\frac{1}{2}$[/tex].
For more questions on polynomials
https://brainly.com/question/23719689
#SPJ4