The numerical length of GH is 20.
Given, FH=4x+8, FG=x and GH=5x.
We need to determine the numerical length of GH.
What is a line segment?In geometry, a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.
Given Point G is on the line segment FH, then FG + GH = FH.
Now, substitute the given values into the formula as shown:
x + 5x = 4x + 8
6x = 4x + 8
6x - 4x = 8
2x = 8
x=4
To get the length of GH substitute x=4 for 5x
That is, GH = 5(4)= 20
Hence, the numerical length of GH is 20.
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Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
3 p minus 2; when p = 3 the number of plants is 7
3 p + 2; when p = 3 the number of plants is 11
p cubed minus 2; when p = 3 the number of plants is 25
p cubed + 2; when p = 3 the number of plants is 29
The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.
The complete question is given below:-
liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.
If she cubed the number of the plants will be:- P³
Now she added two vegetable plants:- 2
Then the equation will be: - p³ + 2. Now we will put the value of p = 3 in the equation.
Total number of the plants = ( 3 )³ + 2 = 27 + 2 = 29
Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.
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How is a perfect square trinomial similar to a perfect square number? Is it possible to have a perfect square binomial? Explain.
Yes, it is possible to have a perfect square binomial. The detailed information is given below.
What is the perfect square binomial to trinomial?In trinomial, there are three terms and in binomial, there are two terms.
Let the perfect square of the binomial will be given as
⇒ (a + b)²
There are only two terms a and b and has a square on it. So the expression (a + b)² is a perfect square binomial.
Open the bracket, then we have
(a + b)² = a² + b² + 2ab
There are only three terms a², 2ab and b² and derived from a perfect binomial square. So the expression a² + b² + 2ab is a perfect square trinomial.
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Question 8) Identify the volume of the composite figure. Round to the nearest tenth.
asap.... math test....must show work
Answer:
860.71m³
Step-by-step explanation:
V(cuboid) = bhd
V(cylinder) = h(pi)r²
V(shape) = cuboid - cylinder
cuboid = 10 x 10 x 12
cuboid = 1200m³
cylinder = 12(pi)3²
cylinder = 12(pi)9
cylinder = 339.292m³
shape = 1200 - 339.292
shape = 860.71m³
Answer:
860.9 -ish
Step-by-step explanation:
To find that volume we need to find the volume of the rectangular prism and subtract the volume of the cylinder.
First, lets find the volume of the prism.
V=lwh
V=10*10*12
V=1200
Now, find the volume of the cylinder.
V=Pie*Rsquared*h
V=3.14*3squared*12
V is about 339.12
Now do
1200-339.12=860.88
So it is about 860.9
Question 4) Identify the surface area of the composite figure.
4 4 in. FRIZERSLI 15 in. 4 in. 4 in. THE # # ill 7 in. 10 in. Question 4 ) Identify the surface area of the composite figure . 4 4 in . FRIZERSLI 15 in . 4 in . 4 in . THE # # ill 7 in . 10 in .
The surface area of the composite figure is given by 730 sq.in
What are Composites ?Composites are solid figures made up of basic shapes like rectangle , square and even of three dimensional figures like cube , cuboid etc.
It is given in the question to determine the area of the composite figure
Area of Cube is
Area = 6 * side²
Area = 6 * 4² = 96 sq.in
The surface area of the cuboid is equal to
Sum of surface area of all the sides
As the opposite sides are same
7x10x2 + 15x10x2 + 7x15x2
650 sq.in
As the surface area of the base of the cube is counted twice
Therefore it will subtracted from the total
96 + 650 - 4*4
=730 sq.in
Therefore the surface area of the composite figure is given by 730 sq.in
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Decide whether each number is written in standard notation or scientific notation.
Number
Type of notation
3000
Select ...
Select ...
4.2 × 104
Select ...
Select ...
1.05 × 10–7
Select ...
Select ...
0.0013
Select ...
Select ...
6,500,000
Select ...
Select ...
6.2 × 1019
Select
The answers are as follows:
3000- standard notation
4.2*10 raised to 4 - scientific notation
1.05 × 10 raised to power –7 - scientific notation
0.0013 - standard notation
6,500,000 - standard notation
6.2 × 10 raised to power 19 - scientific notation
Concept: Standard notation is a way of writing a number so it is easier to read. It is often used for very large or very small numbers.
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
In the given questions,
3000- standard notation
4.2*10 raised to 4 - scientific notation
1.05 × 10 raised to power –7 - scientific notation
0.0013 - standard notation
6,500,000 - standard notation
6.2 × 10 raised to power 19 - scientific notation
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I am greater than 62 but less than 67
Iliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
3 p minus 2; when p = 3 the number of plants is 7
3 p + 2; when p = 3 the number of plants is 11
p cubed minus 2; when p = 3 the number of plants is 25
p cubed + 2; when p = 3 the number of plants is 29
Total number of plants is p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.
What is an Equation ?Equation is mathematical statement formed when two algebraic expressions are equated using an equal sign.
It is given that
Let p represent the original number of plants in her garden.
then total number of plants in her garden = p³ +2
the total number of plants if p = 3 is
=3³ +2
= 29
p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.
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Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks. How long before the marathon should she start?
There are many ways to approach this problem. Some include, make a table, write a function, create ordered pairs...
1. Identify and label the variables.
2.Make a table for up to 6 weeks to see a pattern.
3. Write an equation to represent the nth term of the sequence.
4. If the pattern continues during which week will she run 10 miles per day?
5. Is it reasonable to think that this pattern will continue indefinitely, explain?
6. How long before the marathon should she start?
PLEASE ANSWER ALL QUESTIONS IF YOU CAN PLEASEE
Due to length restrictions, we kindly invite to see the explanation below to know the answer with respect to each component of the question concerning linear equations.
How to determine a linear equation describing the daily distance of a runner
In this question we need to derive an expression of the daily distance as a function of time. Now we proceed to complete the components:
Linear equations have an independent variable (t - time) and a dependent variable (x - daily distance).We notice that the daily distance increases linearly in time, then then we have the following pattern:To learn more on linear equation: https://brainly.com/question/11897796
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What is the range of the relation in the table below?
The range of the relation is {0, 2, 4}
How to determine the range?The range of the relation are the y values
From the table, we have:
y values = 0, 2, 4, 2, 0
Remove the repetition
y values = 0, 2, 4
Hence, the range of the relation is {0, 2, 4}
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Given the following formula, solve for a.
Answer:
A. a = 2s - b -c
Step-by-step explanation:
Rearrange the equation in a way that you have only a on one side. When solving equations you can add, subtract, multiply or divide by the same number/variable/expression on the both sides.
[tex]s = \frac{a + b + c}{2}[/tex]
Multiply by 2 to get rid of the fraction.
[tex]s \cdot 2 = \frac{a + b + c}{2} \cdot 2[/tex]
On the right side the 2 cancels out:
[tex]s \cdot 2 = a + b + c[/tex]
On the right side next to a are still b and c. But we want a alone. Subtract b.
[tex]s \cdot 2 - b = a + b + c - b[/tex]
b - b on right side gives 0.
[tex]s \cdot 2 - b = a + c + 0[/tex]
The step above is usually skipped, because number + 0 = number.
[tex]s \cdot 2 - b = a + c[/tex]
Next to a there is still c. Subtract c.
[tex]s \cdot 2 - b - c = a + c - c[/tex]
c - c on the left is 0.
[tex]s \cdot 2 - b - c = a[/tex]
So our answer is:
[tex]s \cdot 2 - b - c = a[/tex]
It can be rewritten to (change sides):
[tex]a = s \cdot 2 - b - c[/tex]
And s · 2 can be rewritten to 2s:
[tex]a = 2s - b - c[/tex]
pls help with age problem.
Answer:
John is 19 and his sister is 23.
Step-by-step explanation:
See attached image.
Solve for [x]. The polygons in each
2x-20
16
16
8
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = 16 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
If two polygons are similar, their corresponding sides ratios will be equal to each other.
[tex]\qquad \tt \rightarrow \: \cfrac{8}{16} = \cfrac{2x - 20}{24} [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{1}{2} = \cfrac{2x - 20}{24} [/tex]
[tex]\qquad \tt \rightarrow \: 2x - 20 = \cfrac{24}{2} [/tex]
[tex]\qquad \tt \rightarrow \: 2x = 12 + 20[/tex]
[tex]\qquad \tt \rightarrow \: 2x = 32[/tex]
[tex]\qquad \tt \rightarrow \: x = 16[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
1. Due Now: Brittany's Builders has 20 leftover bricks. Some are red and some are white. For
each white brick, Brittany has 3 red bricks. How many of the bricks are red and how
many are white?
88
Not sure how to explain
its 5 white and 15 red
please help me i need help quick
Answer:
x = -2
y = -6
Step-by-step explanation:
Equating the equations :
x - 4 = 4x + 23x = -6x = -2y = -2 - 4y = -6Equate both
x-4=4x+2-4-2=4x-x-6=3xx=-2And
y=-2-4=-6Graph attached
Look at the photo and answer the question. Please put the answer at the top of the text and don’t make it hard to find. Best answer gets brainliest.
Answer: B. When the nail became magnetized the iron atoms in the nail were temporarily aligned and caused a physical change in the nail.
Step-by-step explanation:
Electrons behave like little magnets and when they flow through a wire, they create a magnetic field, which turns the nail into a magnet
Subtract the following complex numbers:
(4+4i)-(13+17i)
OA. 9+21/
OB. -9+21/
OC. 9-13i
OD.-9-13i
We have been given (4 + 4i) - (13 + 17i) .after solving we get the correct option is A ) -9 - 13 i.
What are complex numbers?Complex numbers are those numbers that contain the imaginary and the real part.
We have been given (4 + 4i) - (13 + 17i) .
On removing the parenthesis
4 + 4 i - 13 - 17i.
On combine the real part and complex parts, we get
= 4 - 13 + 4i - 17 i.
= -9 - 13 i.
Therefore, The correct option is A ) -9 - 13 i.
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The first number in a pattern is 186. The pattern follows the rule subtract 17. What are the next three numbers?
Answer:
169, 152, 135
Step-by-step explanation:
186-17=169
169-17=152
152-17=135
x2) Triangle ABC is an isosceles triangle with BA = BC 72° D lies on AC ABD is an isosceles triangle with AB = AD Angle ABD = 72° 36 A D Show that triangle BCD is isosceles. You must give a reason for each stage of your working.
An isosceles triangle is one with two equal-length sides. The ΔBCD is an isosceles triangle.
What is an isosceles triangle?
An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
Given ΔABC is an isosceles triangle with side AB = AC. Therefore, as per the base angle theorem,
∠A = ∠C = 36°
Also, in ΔABC, the sum of the angles can be written as,
∠ABC + ∠BAC + ∠BCA = 180°
∠ABC + 36° + 36° = 180°
∠ABC = 108°
For ∠ABC we can write,
∠ABC = ∠ABD + ∠CBD
108° = 72° + ∠CBD
∠CBD = 36°
Now, in ΔBCD, the measure of ∠CBD and ∠DCB both equals to 36°. Therefore, we can write, that the ΔBCD is an isosceles triangle.
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What factor or factors may reduce risk? (5 points)
O Futures investments
O International stocks
Media hype
Diversified portfolios
Explain how to find the constant of proportionality for the ratio of robins to cardinals.
The constant of proportionality will be 3.
The complete question ks given below:-
Explain how to find the constant of proportionality for the ratio of robins to cardinals. A 2-column table with 4 rows. Column1 is labelled Cardinals with entries 5, 6, 9, and 10. Column 2 is labelled Robins with entries 15, 18, 27, and 30.
What is the ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
Given data will be arranged as follows:-
robins 15, 18, 27, 30.
cardinals 5, 6, 9, 10.
The constant of proportionality will be calculated by taking a ratio of the data:-
[tex]\dfrac{Cardinals}{Robins} =\dfrac{15}{5}=\dfrac{18}{6}=\dfrac{27}{9}=\dfrac{30}{10}=3[/tex]
Therefore the constant of proportionality will be 3.
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The __________ is the process of posing and answering research questions using controlled techniques that include systematic, orderly observation and the collection of data.
Answer:
Scientific Method:
Step-by-step explanation:
Scientific method is the set of basic rules that must be followed for the production of knowledge that has the rigor of science, that is, it is a method used for research and verification of a certain content. For several authors, the scientific method is the logic applied to science.
i hope this
Area of a triangular prism
Answer:
if you mean the formula it is (1/2) · b · (6 · h + sqrt(3) · b)
Step-by-step explanation:
halp
What is the relationship between \blueD{\angle a}∠astart color #11accd, angle, a, end color #11accd and \greenD{\angle b}∠bstart color #1fab54, angle, b, end color #1fab54?
Answer:
D. None of the above.
Step-by-step explanation:
Supplementary angles must add up to 180 degrees.
Complementary angles must add up to 90 degrees.
Vertical angles are opposite of each other.
Hope this helps!
If not, I am sorry.
What are the values of x and y for this equation?
(x+yi)+(8-5i)=4+3i
Step-by-step explanation:
ATTACHED IS THE SOLUTION. Don't hesitate to ask where you don't understand.Bronze is a mixture of copper and tin.
The copper and tin are in the ratio 9:1.
a) How much tin is there in a bronze bracelet
weighing 260 grams?
6
Answer:
26 gm
Step-by-step explanation:
Tin is 1 out of (9+1) = 1/10 th
1/10th * 260 gm = 26 gm
which number produces a rational number when added to 0.53
Answer:
5/7 or D
Step-by-step explanation:
i just know
batman wants to wrap a perestn in a box for robin. the top and the bottom of the box is 10 cm. by 5 cm. the sides are both 3 cm by 2 cm. and the front and back are 8 cm. by 2 cm. hhow muvh wrapping papper will atman need to wrap the present?
Answer:
15
Step-by-step explanation:
Determine the total number of roots of each polynomial function. f (x) = 3x^6 + 2x^5 + x^4 - 2x^3
The total number of roots of the given polynomial function is 6.
The given polynomial is [tex]f(x)=3x^{6}+2x^{5}+x^{4} -2x^{3}[/tex].
We need to determine the total number of roots of the given polynomial function.
What is the total number of roots of the polynomial function?
The number of roots of any polynomial is depended on the degree of that polynomial. Suppose n is the degree of a polynomial f(x), then fx) has n number of roots.
Here, the degree of the given polynomial function is 6.
Therefore, the given polynomial function will be having 6 roots.
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A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box?.
Answer:
Volume = 7WH - (1/2)W^2H
Step-by-step explanation:
The base consists of the length (L) and the width (W). It is rectangular, so the perimeter would be the sum of all four sides:
Perimeter = L + W + L +W,
or Perimeter = 2L + 2W
We are told that 2L + 2W = 28cm [The perimeter is 28 cm]
------
The volume of the box is given by:
Volume = L*W*H [Length x Width x Height]
=====
Let's rearrange the first equation and use it in the second:
2L + 2W = 28cm
2L = 28cm - 2W
L = (28cm - 2W)/2
L = (14 - W)
Now use this definition of L (14 - W) in the second equation:
Volume = L*W*H
Volume = (14 - W)/2)*W*H
Volume = (7-(1/2)W)*W*H
Volume = 7WH - (1/2)W^2H
This can also be written as: Volume = WH(7 - (1/2)W)
HELP PLEASE IM BEGGING PLEASEEE I NEED IT NOWWW
cylindrical-shaped aquarium is to be filled with water for the newly bought salt water fishes. How much salt water is needed if the aquarium has a 2 ft radius of its base and a height of 3 ft?
Volume = πr²h
V = (3.14) (2)² (3)
V = (3.14) (4) (3)
V = 37.68 ft³
37.68 ft³ of salt water is needed to fill the cylindrical aquarium.
Mr. Lee is buying a spherical water tank for his tomato plantation. How much water could be stored if the water tank has a radius of 2 meters?
Volume = (4/3) πr³
V = (4/3) (3.14) (2)³
V = (4/3) (3.14) (8)
V = (4/3) (25.12)
V = 33.493 m³
Mr. Lee can store 33.493 m³ of water in the spherical tank.
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