Answer:
4z²+4z-15 Square Metre
Step-by-step explanation:
According To The Question,
Given, Shreeja wants to level her garden of length (2z+5) metre and breadth (2z-3) metre.Area Of Garden = Length × Breadth
Area Of Garden = (2z+5) × (2z-3)
Area Of Garden = 4z²-6z+10z-15
Area Of Garden=4z²+4z-15 Square Metre
What is the domain to this graph
Answer:
x > 0
Step-by-step explanation:
The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.
Consider a single spin on the spinner shown below. A circle is split into sections 1, 2, 4, and 3. A spinner is pointing at number 2. Sections 1 and 2 are shaded. Which events are mutually exclusive? Check all that apply. landing on an unshaded portion and landing on 2 landing on a shaded portion and landing on 3 landing on a shaded portion and landing on an even number landing on an unshaded portion and landing on a number greater than 3 landing on a shaded portion and landing on an unshaded portion
Answer:
The answer is "Options A, B, and E represent mutually exclusive events".
Step-by-step explanation:
Two occurrences that can happen immediately called mutually incompatible. Let's now glance at our options and figure out where the statements are mutually incompatible events.
In Option A: You could see that landing on an unwanted portion and arriving on 2 are events that are locally incompatible, even as undesirable portion contains 3 and 4, and 2 were shaded.
In Option B: Arriving on a shaded part and falling on 3 are also mutually incompatible because there are 3 on a windows azure.
In Option C: A darkened portion and an increasing amount can land while 2 would be an even number as well as on the shaded portion. That number is very much the same.
In Option D: At the same time as 4 is greater than 3 and it is situated upon an undistressed section, landing and attracting a number larger than 3 can happen.
In Option E: Landing on a shaded part and landing on even a shaded part is an excluding event, since shaders may either be shaded or unlit.
Answer:
first, second and fifth
Step-by-step explanation:
edge 2021
The theoretical probability of choosing Event A is 2
—
7
. What is the
theoretical probability of not choosing Event A?
Answer: [tex]\dfrac{5}{7}[/tex]
Step-by-step explanation:
Given
The theoretical probability of choosing an event A is [tex]\dfrac{2}{7}[/tex]
The sum of the probability of occuring and non-occuring of an event is always equal to 1.
So, the probability of non choosing Event A is
[tex]\Rightarrow 1-\dfrac{2}{7}\\\\\Rightarrow \dfrac{7-2}{7}\\\\\Rightarrow \dfrac{5}{7}[/tex]
Given a quadratic function, y = ax + bx+c, what happens to the graph when "a" is positive?
a. the parabola opens down, the vertex is the C. the parabola opens up, the vertex is the
maximum value
maximum value
b. the parabola opens down, the vertex is the d. the parabola opens up, the vertex is the
minimum value
minimum value
Answer:
d
Step-by-step explanation:
it is opened up because the voeff of X^2 tetm is positive
PLEASE HELP ME PLEASE
Find the volume of the sphere.
r= 3 cm
Formulas for Spheres
S.A. = 4nr?
V = frr? V = [?] cm3
Round to the nearest tenth.
PLEASE HELP ME PLEASE
Step-by-step explanation:
113,1 cm^3
The volume of the sphere is V = 113.097 cm³
What is a Sphere?A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the radius of the sphere be r = 3 cm
Let the volume of the sphere be V
The formula for the volume of a sphere is:
V = (4/3)πr³
where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
Substituting r = 3 cm into the formula, we get:
V = (4/3)π(3 cm)³
V = (4/3)π(27 cm³)
V = (4/3)(3.14159)(27 cm³)
V = 113.097 cm³
Hence , the volume of the sphere is 113.097 cm³ when the radius is 3 cm.
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If AD is 10 inches long BD is 6 inches long
Answer:
AB = 8 inches
Step-by-step explanation:
given :
AD = 10 inches
BD = 6 inches
AB = ?
using pythagoras theorem
a^2 + b^2 = c^2
BD^2 + AB^2 = AD^2
6^2 + AB^2 = 10^2
36 + AB^2 = 100
AB^2 = 100 - 36
AB^2 = 64
AB = [tex]\sqrt{64[/tex]
AB = 8
The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC is equal to 8 inches.
In the figure of triangle ADC ,
DB is perpendicular to AC such that A- B- C.
Measure of angle CBD = 90 degrees
This implies,
As angle ABD and CBD are linear pair
⇒ Measure of angle CBD + Measure of ABD = 180°
⇒ 90° + Measure of ABD = 180°
⇒ Measure of ABD = 180° - 90°
⇒ Measure of ABD = 90°
Now triangle ABD is right angle triangle,
AD = 10 inches
BD = 6 inches
By applying Pythagoras theorem we have,
AB² + BD² = AD²
⇒ AB² = AD² - BD²
⇒ AB² = 10² - 6²
⇒ AB² = 100 -36
⇒ AB² = 64
⇒ AB = √64
⇒ AB = 8 inches
Therefore, the length of the AB is equal to 8 inches.
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Name three deficiency diseases associated with diet and state their causes
Answer:
Iron deficiency, hypoglycemia, and scurvy.
Step-by-step explanation:
Iron deficiency is the lack of iron in the blood, usually caused by blood loss. Because the body doesn't produce iron, people need to consume items with iron to rise up the amount of iron.
Hypoglycemia is the lack of blood sugar (known as glucose), people who are diabetic or drink excessive alcohol can have hypoglycemia. People would have to consume more glucose or take insulin shots to get the amount back to normal.
Scurvy is caused by the lack of Vitamin C (found in fruits and vegetables) , usually within 3 months.
I'll give branliest! please help!!
Answer:
Step-by-step explanation:
So we know angles A and B add up to 180 degrees.
This gives us x+2 + 2x+4
We can simplify this to 3x+6 = 180
3x = 174
x=58
Now we know value of X, we can use it to find A's angle
Since, a = x + 2
a = 60
Please help me this is due in 5 mins!!!
Answer: Perimeter: 28 units
Area: 32 square units
Step-by-step explanation:
Answer:
Perimeter = 24
Area =32
Step-by-step explanation:
To find the perimeter, add up the number of outside edges
4+ 2+2+2+2+2+4+2+2+2+2+2 =24 units
To find the area, count the number of boxes in each row
4 + 4+ 8+8+4+4 = 32 units^2
The screen at Dallas' AT&T Stadium is 175 feet wide. A movie theatre screen with
similar dimensions is 40 feet wide with a screen area of 896 Ft. What is the area of
the screen at AT&T Stadium? Round to the nearest square foot.
Answer:
17150 ft²
Step-by-step explanation:
Given the ratio of sides = a : b , then
ratio of areas = a² : b²
Here ratio of sides = 175 : 40 = 35 : 8 , then
ratio of areas = 35² : 8² = 1225 : 64
let x be the area of AT & T Stadium then by proportion
[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )
64x = 896 × 1225 = 1097600 ( divide both sides by 64 )
x = 17150
The AT & T screen has an area of 17150 ft²
help
PLEASE HEPP ME PLEASE
Answer:
Step-by-step explanation:
VOLUME...
1) π*r^2*h
π*(2.5)^2 *h
(π)*(2.5)^2* 6
= 117.8
2) π*r^2*h + 1/2 *[(4/3) · π · r3]
(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]
84.8+ 56.5 = 141.41
3) (1/3) π*r^2*h
(1/3) π*3^2*h
3^2 + h^2 = 36
h = sqrt(27) = 5.1
(1/3) π*3^2*5.1
= 48.06
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Height of 1/2 of glass #2
84.8+ 56.5 = 141.41
thus 1/2 of #2 = 70.5
70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)
14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) = .48
total height = 3.48
Given g(x) = |2x + 1), find the values of x if g(x)=5
Answer: 11
Step-by-step explanation:
g(x)=(2x+1)
g(x)=5
g(5)=2(5)+1
=10+1
g(5) =11
10 points to answer this question. Determin the numerical length of VW.
Answer:
9
Step-by-step explanation:
4x-7 + 3x = 5x -1
7x - 7 = 5x +1
2x = 8
x = 4
VW = 4x - 7
= 4(4) - 7
= 16-7
= 9
hey yall heres another question i need the answer to ASAP !!!!!
Type the correct answer in each box.
The volume of a cube is given by and the total surface area of a cube is given by , where s is the side length of the cube.
If the side length of a cube is 5 inches, the volume of the cube is ??? cubic inches and its total surface area is ??? square inches.
the question marks stand for where the answers should go.
Answer:
girth is better than length. your welcum ;)
HELP THIS IS MY LAST ASSIGNMENT FOR MATH
Answer:
Decompose each number:
\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}
6)90=9×10
7)40=4×10
8)890=89×10
9)300=3×100
10)7000=7×1000
11)3700=37×100
Correct the error. Write the correct decomposition:
\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}
12)560=56×10
13)4300=43×100
14)6000=60×100 or 6×1000
Oliver earns an hourly wage, as shown in the graph. In addition to his hourly wage, he is eligible for bonuses. If he received a $100 bonus award for his performance and worked 20 hours, how much did he earn?
Oliver earns a total of $260.
What is Ratio?When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.
Given, In the graph, Oliver is depicted as having hourly pay. He is qualified for bonuses in addition to his hourly pay. If he put in 20 hours of effort and received a $100 performance bonus. equation of this line:
y = kx +c
since this line goes through the origin point. Constant (c) will be zero.
At the point (1, 8 ) k = 8
Hence, Y = 8x
Because hours worked are 20
earning = 8 * 20 = 160
Total earnings = 100 + 160 = 260
Therefore, the Total money that Oliver earns is $260.
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Área de Cuadriláteros
¿Me pueden ayudar con esta tarea?
Answer:
I can't understand this language sorry
ITS URGENT! PLEASE HELP!
Answer:
x = -3 b no answer is 1/27000
Step-by-step explanation:
Name the marked angle in 2 different ways.
Answer:
angle TVU
Step-by-step explanation:
angle UVT
please mark as brainliest
Add the following numbers. -3 + 8 =
If a tree cast a 3.5 foot shadow at the same time is 6 foot tall women cast a shadow measuring 13.8 feet what would be the height of the tree
Answer:
1.522 ft tall
Step-by-step explanation:
divide 13.8 by 6ft and you would get 2.3
the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.
PLEASE HELP: Click on the graph to choose the correct answer to the equation.
x + y > 0
(the ones with multiple are all separate I just couldn't attach all.)
Answer:
It's the third one, I hope so. y<1/2x
Step-by-step explanation:
I hope this helps. :)
Which function's graph has a period of 2?
O A. y = cos -
y = cos(x - 22
O B. y = 2 sinax
O C. y = 3cosx
O D. y = -4 sin 2x
Answer:
I BELIEVE ITS C {^_^}
Step-by-step explanation:
The trigonometric function y = 3cos(πx) has a period 2.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.
a is the function's amplitude.
The function's wavelength is b.
The phase shift of a function is c.
We already know that y = cosx has a 2 period.
The period is calculated as T= 2π/b and if T = 2.
y = 3cosx
2=2π/b
b= 2π/2 = π.
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Worth 12 points and please actually help me
Answer:
(-3,0)
Step-by-step explanation:
Step 1 identify coordinates of A
The coordinate of A is (-6 , 2)
Step 2 apply translation by adding 3 to the x value and subtracting 2 from the y value
(-6 + 3 , 2 - 2)
Simplify
(-3 , 0)
If U = {x: X € N, 1 < × < 15)
A= {x:x is multiple of 2}
B = {x: x is multiple of 3
C = {x: x is multiple of 5)
verify the following
(a) A(BnB)=(AUB)(AUB)
(b) An(BUC)=(AnB)u(Ang)
(c) AU(BUC)=(AUB)U(AUC)
Answer:
Step-by-step explanation:
Given:
U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
A = {2,4,6,8,10,12,14}
B = {3,6,9,12,15}
C = {5,10,15}
(a) Verify A(BnB)=(AUB)(AUB)
A U (B n B)
= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )
= {2,4,6,8,10,12,14} U {3,6,9,12,15}
= {2,3,4,6,8,9,10,12,14,15}
( A U B) n (A U B)
= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}
= {2,3,4,6,8,9,10,12,14,15}
Therefore
A U (B n B) = ( A U B) n (A U B)
verifies
(b) Verify An(BUC)=(AnB)u(AnC)
A n ( B U C)
= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )
= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}
= {6,10,12}
( A n B ) U ( A n C )
= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )
= {6,12} U {10}
= {6,10,12}
Therefore
A n ( B U C) = ( A n B ) U ( A n C )
verifies
(c) Verify AU(BUC)=(AUB)U(AUC)
AU(BUC)
= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}
= {2,3,4,5,6,8,9,10,12,14,15}
(AUB)U(AUC)
= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})
= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}
= {2,3,4,5,6,8,9,10,12,14,15}
Therefore
AU(BUC)=(AUB)U(AUC)
verifies
Help I’m stuck!!!! Solve the equation below for x. Enter your answer as a fraction in lowes
terms, using the slash mark (/) as the fraction bar. 4/21 + 2/9
X=
Answer:
26/63
Step-by-step explanation:
Try to make the denominators equal so that you can add them:
4(3)/21(3)= 12/63
2(7)/9(7)= 14/63
And now you add, which will give you:
12/63 + 14/63= 26/63
Anyone knows how to do "Using Congruence Postulates," I need help with an equation, can someone show me step by step.
The circumference of a circle is 19π in. What is the area, in square inches? Express your answer in terms of π.
Answer:
A = 90.25 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2*pi*r
19pi = 2*pi*r
Divide each side by 2 pi
19pi / 2 pi = 2*pi*r/ 2pi
9.5 = r
The area is given by
A = pi r^2
A = pi ( 9.5)^2
A = 90.25 pi in^2
Answer:
The area of circle is 90.25 π inches².
Step-by-step explanation:
Given :-
Circumference of circle is 19 π in.
To Find :-
Area of circle
Solution :-
Firstly, we need to find radius of circle
Using formula
Circumference of circle = 2 π r
substitute the value
19 π inches = 2 π r
Divide each side by 2 π
19 π inches / 2 π = 2 π r / 2 π
9.5 inches = r
Now, Finding the area of circle
Using formula
Area of circle = π × r²
Where,
r, radius of circle = 9.5 inchesSubstitute the values
Area of circle = π × ( 9.5 inches)²
Evaluate the exponent
Area of circle = π × 90.25 inches ²
multiply ,we get
Area of circle = 90.25 inches²
Hence, the area of circle is 90.25 π inches².
The volume of aright circular cone is 12 litres calculate the volume of the two parts into which the cone is divided by a plane parallel to the base a quarter of the way down from the vertex to the base
Answer:
the New Cone Volume is 0.1875 litres & the Volume of frustum is 11.8125 litres.
Step-by-step explanation:
According To Question,
We have Given A Right Circular Cone, Volume = 12 Litres .
Now, Let The Radius Of the base be r & the height be h .
Volume of Cone = 1/3×π×r²×h
thus, 1/3×π×r²×h=12
π×r²×h=36 → Equation. 1
Now, The new Cone is cut from the Plane Parallel to a base a quarter the way down from the vertex of the base. then the cone is cut at 1/4 from the base . So the Height of new Cone is h/r and the radius is r/4 .
Then, Volume Of new Cone=1/3×π×(r²/16)×(h/4) ⇔ (Put Value From Equ. 1)
V= 12/64 ⇔ 0.1875 litres of new cone volume .
Then, the volume of Frustum = 12-0.1875 = 11.8125 litres
Put these numbers in order from least to greatest.
9.5,9 3/10, and 9.9