Answer:
119.32
Step-by-step explanation:
What is the range of possible values for x?
The diagram is not to scale.
a) 12 < x < 48
b) 0 < x < 10
c) 10 < x < 50
d) 10 < x < 43
Answer:
option A is the answer of given question 12 less than its greater than 48
Area of the rectangle is 126 sqaure meters. Length of the rectangle is 4 more than 2 times its width. Find length and width of the rectangle
Answer:
Length of the rectangle = 18 mWidth of the rectangle = 7 mStep-by-step explanation:
Given:
Area of the Rectangle = 126 m²Length of the rectangle is 4 more than 2 times its width.To Find:
Length and widthSolution:
Let's assume :
Width of the rectangle = xLength of the recangle = 2x + 4We know that,
[tex]\: \: \dashrightarrow\sf \: \: \: Length \times Width = Area_{(Rectangle)} \\ \\ [/tex]
On Substituting the required values, we get:
[tex] \\ \: \: \dashrightarrow\sf \: \: \:(2x+ 4)(x) = 126 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \:2 {x}^{2} + 4x = 126 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \:2 {x}^{2} + 4x - 126 =0 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \:2( {x}^{2} + 2x - 63) = 0 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \: {x}^{2} + 2x - 63 = 0 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \: {x}^{2} - 7x + 9x - 63 = 0 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \:x(x - 7) + 9(x - 7) \\ \\ \\ \: \: \dashrightarrow\sf \: \: \:(x - 7)(x + 9) = 0 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \: \purple {x = 7 \: or \: - 9} \\ \\ [/tex]
Length of the side of the rectangle can't be negative. So, x = 7
Hence,
Width of the rectangle = x = 7 mLength of the rectangle = 2x + 4 = 2(7) + 4 = 18 mAnswer:
length = 18 m
width = 7 m
Step-by-step explanation:
Finding the length and width of rectangleLet the width of the rectangle = w m
Length = ( 2w + 4) m
Area of rectangle = 126 square meters
length * width = 126
(2w + 4) * w = 126
2w² + 4w = 126
2w² + 4w - 126 = 0
Divide the entire equation by 2
w² + 2w - 63 = 0
Sum = 2
Product = -63
Factors = 9 , (-7) { 9 +(-7) = 2 & 9*(-7) = -63}
w² + 9w - 7w - 63 = 0 {rewrite the middle term using the factors}
w( w + 9) - 7(w + 9) =0
(w +9)(w - 7) = 0
{Ignore w +9 = 0, as measurement will not come in negative}
w - 7 = 0
w = 7
length = 2w + 4
= 2*7 + 4
= 14 + 4
= 18
length = 18 m width = 7 mWhich of these statements is true for f(x) = 4.2?
A. The y-intercept is (0,4).
B. It is always decreasing.
O C. The domain is x > 0.
D. The y-intercept is (0,1).
Answer:
A
Step-by-step explanation:
I think it's A hope that helps
A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y. What is the rate of change of the function expressed as a unit rate?
If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A bike rental company charges a fee per hour.
The charge, in dollars, is the same each hour.
The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.
Then the linear equation is given as
[tex]\begin{aligned} \rm y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x- 5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end[/tex]
Then the rate of change of the function expressed as a unit rate will be
[tex]\rm \dfrac{dy}{dx} = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx} = 4.5[/tex]
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What is the surface area of the Right Cylinder below
Diameter AB=22, and height BC=8.
Hope this helps, so sorry if I am wrong!
Answer:
A ≈ 1313.19
Step-by-step explanation:
By using the formula [tex]A = 2 \pi r h + 2 \pi r^{2}[/tex] we can just fill in the information with what we know, which is Diameter = 22, Radius = Diameter/2 = 11. The height is 8. So in doing so we get [tex]A = 2\pi (11)(8)+2\pi (11)^{2}[/tex], which
equals ≈ [tex]1313.18573[/tex].
Write the equation of each line in slope‐intercept form.
figure these question out
Answer:
5) 3x = 135° and x = 45°
6) (8x + 5) = 61° and (3x + 8) = 29°
Step-by-step explanation:
5) supplementary of two angles whose sum is 180°
3x + x = 180 → 4x = 180
4x / 4 = 180 / 4
x = 45
3x = 3(45)
135°
6) complimentary of two angles whose sum is 90°
(8x + 5) + (3x + 8) = 90 → 11x + 13 = 90
11x + 13 - 13 = 90 - 13
11x = 77
11x / 11 = 77 / 11
x = 7
(8x + 5) = 8(7) + 5
56 + 5 = 61
(3x + 8) = 3(7) + 8
21 + 8 = 29
The perimeter of a rectangle is 72 cm one side is 3 times the length of the other form an equation and solve for the length and width
Answer:
2(length) +2(width)=perimeter
2(3(width))+2(width)=72
8×width=72
width=9
length=3×9=27
area=27×9
247=area
Step-by-step explanation:
find the value of z
Check the picture below.
[tex]2x+15~~ = ~~\cfrac{(10x+20)-80}{2}\implies 4x+30=10x-60 \\\\\\ 4x+90=10x\implies 90=6x\implies \cfrac{90}{6}=x\implies \boxed{15=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{the whole circle is}}{z + 80 + (10x+20)}~~ = ~~\stackrel{degrees}{360}\implies z+80+[10(15)+20]~~ = ~~360 \\\\\\ z+250=360\implies \blacktriangleright~~ z=110 ~~\blacktriangleleft[/tex]
If the value of x is 15 degrees. Then the measure of the arc z will be 110 degrees.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
The diagram is shown below.
[tex]\rm 2x + 15 = \dfrac{10x + 20 - 80 }{2}[/tex]
Then the value of x will be
4x + 30 = 10x - 60
6x = 90
x = 15
Then the value of (10x + 20) will be
(10x + 20) = 10 × 15 + 20
(10x + 20) = 150 + 20
(10x + 20) = 170
Then the measure of the arc z will be
z + 170 + 80 = 360
z = 110
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can someone please help I pay £100
Answer:
The new points to the triangle will be:
[tex]A(1,4)\\ B(1,1)\\ C(-1,1)[/tex]
Step-by-step explanation:
Because the reflection point is at [tex]x=2[/tex], all x values will subtract their distances from [tex]x=2[/tex] to get their new values. The y values remain the same.
The starting values are:
[tex]A(3,4)\\ B(3,1)\\ C(5 ,1)[/tex]
Point [tex]A[/tex] is 1 unit away from [tex]x=2[/tex], so we'll subtract 1 from 2 to get the new x value: [tex]2 - 1 = 1[/tex], so [tex]A(1,4)[/tex].
Point [tex]B[/tex] is also 1 unit away from [tex]x=2[/tex], so we'll subtract 1 from 2 to get the new x value: [tex]2 - 1 = 1[/tex], so [tex]B(1,1)[/tex].
Point [tex]C[/tex] is 3 units away from [tex]x=2[/tex], so we'll subtract 3 from 2 to get the new x value: [tex]2 - 3 = -1[/tex], so [tex]C(-1,1)[/tex].
Factor the polynomial
Answer:
(3x + 5)(9x^2 - 15x + 25)
Step-by-step explanation:
27x^3 + 125
= (3x)^3 + 5^3
= (3x + 5) ((3x)^2 - (3x)(5) + 5^2)
= (3x + 5)(9x^2 - 15x + 25)
FYI: a³ + b³ = (a + b)(a² – ab + b²)
Answer:
(3x + 5)(9x² - 15x + 25)
Step-by-step explanation:
This is given in the form : a³ + b³
Identity :
a³ + b³ = (a + b)(a² - ab + b²)Solving :
27x³ + 125(3x)³ + (5)³(3x + 5)(9x² - 15x + 25)The ratio of a green apple to red apple is 2:3. There are 78 red apples, what is the total number of apples in the store?
Answer:
The total is 130 apples.
Step-by-step explanation:
If the ratio of green to red apples is 2:3 and there is a total of 78 red apples, we can divide 78/3 which is 26. Since this is 1/3 of 78 we can multiply that by 2 to get 52 which is 2/3 of 78 which is the total amount of green apples. We dont stop here however. The question askes for the total amount of apples so we att 52 and 78 to get 130 which is the total amount of apples.
78/3 = 26
26*2 = 52
52+78 = 130
If you make 20 dollars a week how many weeks will it take you to reach the goal Of 700 dollars
Answer:
35
Step-by-step explanation:
it takes 5 weeks to make 100 since 20 x 5 = 100
100 x 7 = 700
5 x 7 = 35
Answer:
It will take 35 weeks.
Which inequality is graphed on the number line?
Answer:
Option #4: [tex]4\left(x+8\right)-10\ge 42[/tex]
Step-by-step explanation:
[tex]4\left(x+8\right)-10\ge 42[/tex]
x ≥ 5
Answer:
4th option
Step-by-step explanation:
the inequality shows x ≥ 5
solving the inequalities
- 7(3x - 7) + 21 ≥ 50
- 21x + 49 + 21 ≥ 50
- 21x + 70 ≥ 50 ( subtract 70 from both sides )
- 21x ≥ - 20
divide both sides by - 21 reversing the symbol as a result of dividing by a negative quantity , then
x ≤ [tex]\frac{20}{21}[/tex] ← not the required solution
--------------------------------------------------
- 4(- x + 8) - 10 ≤ 8
4x - 32 - 10 ≤ 8
4x - 42 ≤ 8 ( add 42 to both sides )
4x ≤ 50 ( divide both sides by 4 )
x ≤ 12.5 ← not the required solution
--------------------------------------------------
- 7(3x - 7) + 21x ≥ - 50
- 21x + 49 + 21x ≥ - 50 ( subtract 49 from both sides )
0 ≥ - 99 ← not the required solution
-----------------------------------------------------
4(x + 8) - 10 ≥ 42
4x + 32 - 10 ≥ 42
4x + 22 ≥ 42 ( subtract 22 from both sides )
4x ≥ 20 ( divide both sides by 4 )
x ≥ 5 ← Required solution
y =x- 6 intercept with graph
Answer:
y-intercept, when x = 0, y = -6
x-intercept, when y = 0, x = 6
Step-by-step explanation:
y-intercept, when x = 0, y = -6
x-intercept, when y = 0, x = 6
If f{x)=-4(x-6)+15,what is f(3)?
A -3 B3 C27 D51
Answer:
C. f(3)=27
Step-by-step explanation:
f(3)=-4(3-6)+15
f(3)=-4(-3)+15
f(3)=12+15
f(3)=27
How many different bit strings can be formed using six 1s and eight 0s?
Answer:
The string contains 6 ones and 8 zeros, thus 14 bits in total.
Step-by-step explanation:
Hope this helps.
A sample of 100 cars driving on a freeway during a morning
commute was drawn, and the number of occupants in each car was recorded. The
results were as follows:
Occupants: 1 2 3 4 5
Number of cars: 76 13 6 3 2
Find the...
a) mean
b) standard deviation
c) median
d) What proportion of cars had more than the mean number of occupants
e) What proportion of cars was the number of occupants more than one
standard deviation greater than the mean?
f) What proportion of cars was the number of occupants within one standard
deviation of the mean?
Answer:
a) mean = 1.42 occupant/car
b) standard deviation = 0.89 occupants
c) median = 1 occupant
d) The proportion of cars had more than the mean number of occupants is 0.24
e) The proportion of cars with the number of occupants more than one
standard deviation greater than the mean is 0.11
f) The proportion of cars with the number of occupants within one standard
deviation of the mean is 0.89
Step-by-step explanation:
Attached work:
Two squares have areas of 4 cm?
and
16 cm?. What is the ratio of the side length of
the smaller square to the side length of the
larger square?
Answer:
1/2
Step-by-step explanation:
First square area = 4cm^2, thus the side length is 2cm
Second square area = 16cm^2, thus the side length is 4cm
This gives a ratio of 2/4, simplifying yields 1/2
Y’all what is it 87 divided by 3
Answer:
29
Step-by-step explanation:
87 / 3 = 29
If you can use a calculator it shouldn't be on brainly...
Answer:
Algebraic Expressions
This calculator builds algebraic expressions based on word representations of numbers using the four operators and the words that represent them(increased,product,decreased,divided,times) Also known as Mathematical phrases
Factorials
Calculates the following factorial items:
* A factorial of one number such as n!
* A factorial of a numerator divided by a factorial of a denominator such as n!m!/a!b!
* Double Factorials such as n!!
* Stirlings Approximation for n!
Step-by-step explanation:
Ty pa follow narin po brainly and thank you for the points
This is a program for development that lists what an athlete hopes to do in order to meet their goals.
A. Feedback
B. Action Plan
C. none of these
D. Area for improvement
Answer:
B. Action PlanStep-by-step explanation:
#hope it helps!
Answered by ReyvREYV111
The solid below is made from cubes.
Find Its volume.
Answer: The answer is 30 inches.
Answer:
36
Step-by-step explantion:
1 x 1 = 1 so each cube is 1 square inch
2 x 6= 12
12 x 3 = 36
Can anyone help I’ve been struggling
Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as it is greater than 4 in. Which statement about Aziza’s claim is correct?
Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.
Aziza’s claim is not correct. The third side can be any length less than 26 in.
Aziza’s claim is not correct. The third side can be any length.
Aziza’s claim is not correct. The third side must create a scalene triangle.
Answer:
First choice.
Step-by-step explanation:
The third side cannot be 26 or greater ( as 11 + 15 = 26).
Answer:
it is A i think
Step-by-step explanation:
find the circumference of the circle 5cm
Given the equation y= 1/2x + 9, what is the y-intercept?
Answer:
9
Step-by-step explanation:
Y intercept when x = 0
Y = 9
where m is slope and b is y-intercept
Hence,
Here given equation: y = ½ x + 9
Identify,
slope: ½ and y-intercept: 9
help me please.. where does he cut from the board?? i need an answer. please i beg you.
Answer: 6 pieces
Step-by-step explanation:
He is cutting the board into pieces each measuring [tex]\frac{1}{8}[/tex] of a foot. The original board is [tex]\frac{3}{4}[/tex] of a foot long. This means he is dividing, so we will solve the problem by doing the following.
[tex]\displaystyle \frac{3}{4}/\frac{1}{8}[/tex]
[tex]\displaystyle\frac{3}{4}*\frac{8}{1}[/tex]
[tex]\displaystyle\frac{3*8}{4*1}[/tex]
[tex]\displaystyle\frac{24}{4}[/tex]
[tex]\displaystyle6[/tex]
He can cut the board into 6 pieces, each measuring [tex]\frac{1}{8}[/tex] of a foot.
14.
Case Study - 2 John planned a birthday party for his younger sister with his friends.
ded to make some birthday caps by themselves and to buy a cake from a bakery shop. For these two items, they decided the following dimensions : Cake : Cylindrical shape with diameter 24 cm and height 14 cm. cap: Conical shape with base circumference 44 cm and height 24 cm.
2
Based on the above information, answer the following questions: (a) How many square cm paper would be used to make 4 such caps ?
The bakery shop sells cakes by weight (0-5 kg, 1 kg, 1.5 kg, etc.). To have the required dimensions, how much cake should they order, if 650 cm3 equals 100 g of cake?
-30/3/1
a. The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².
b. For the cake to have the required dimensions, they should order 1 kg of cake.
a.
The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².
To find the number of square cm paper would be used to make 4 caps, we need to find the area of a cone.
Area of a coneThe area of a cone, A = πr² + πr[√(h² + r²)] where
r = radius of cone and h = height of coneNow given that the base circumference of the cone is C = 44 cm. So,
C = 2πr where r = radius of base
So, r = C/2π = 44 cm/2π = 22 cm/3.142 = 7 cm
The height of the cone, h = 24 cm
So, A = πr² + πr[√(h² + r²)]
A = π(7 cm)² + π(7 cm)[√((24 cm)² + (7 cm)²)]
A = π(7 cm)² + π(7 cm)(7)[√((4 cm)² + (1 cm)²)]
A = 49π cm² + 49π cm[√(16 cm² + 1 cm²)]
A = 49π cm² + 49π cm[√(17 cm²)]
A = 49π [1 cm² + 4.123 cm²)]
A = 49π [5.123 cm²)]
A = 251.032π
A = 788.64 cm²
Since the area of one cap is A = 788.64 cm²,
the area of 4 caps is A' = 4A
= 4 × 788.64 cm²
= 3154.56 cm²
So, the number of square cm of paper that would be used to make 4 caps is 3154.56 cm².
b.
For the cake to have the required dimensions, they should order 1 kg of cake.
To find the amount of cake to be ordered, we need to find the volume of a cake since it is the volume of a cylinder.
Volume of a cylinderThe volume of a cylinder is V = πd²h/4 where
d = diameter of cake = 24 cm and h = height of cake = 14 cmSubstituting the values of the variables into the equation, we have
V = πd²h/4
V = π(24 cm)²(14 cm)/4
V = π(576 cm)²(14 cm)/4
V = 8064π cm³/4
V = 2016π cm³
V = 6333.45 cm³
So the volume of the cake is 6333.45 cm³
Since 650 cm³ equals 100 g, 6333.45 cm³ = 6333.45 cm³ × 100 g/650 cm = 974.4 g = 0.974 kg ≅ 1 kg.
So, for the cake to have the required dimensions, they should order 1 kg of cake.
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Joshua wants to buy a pair
of jeans for $45.00. The tax
rate is 3.4%. If Joshua has
$50, does he have enough
money to pay for the jeans?
Justify your answer.
Answer:
yes
Step-by-step explanation:
3.4% = .034
.034 x 45 = 1.53
1.53$ + 45$ = 46.53$
46.53$ > 50
yes, he dose have enough money
Express tan j as a fraction in simplest terms
From the figure, the value of tan j is 13/9
How to determine the value of tan j?The tangent of an angle is calculated using:
tan(j) = opposite/adjacent
From the figure, we have:
opposite = 13
adjacent = 9
So, we have:
tan(j) = 13/9
Hence, the value of tan j is 13/9
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