Answer:
D.26.0 unitsStep-by-step explanation:
Given : the points A(-4,-8) and B(6,16),
Let d be the distance between A and B.
Then
[tex]d=\sqrt{\left( 16-\left( -8\right) \right)^{2} +\left( 6-(-4)\right)^{2} }[/tex]
[tex]=\sqrt{\left( 24\right)^{2} +\left( 10\right)^{2} }[/tex]
[tex]=\sqrt{676 }[/tex]
[tex]=26[/tex]
A white tailed deer can sprint at speeds up to 30 miles per hour. American Bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5.280 feet in one mile.
Find the area to the nearesy square foot of the shaded region below, consisting of a square with a circle cut out of it.
Based on the calculations, the area of the shaded region is equal to 22 square foot.
How to calculate the area of the shaded region?By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:
Area of shaded region = Area of square - Area of circle.
Note: The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.
Radius = diameter/2 = 10/2 = 5 feet.
For the area of square, we have:
Area of square = S²
Area of square = 10²
Area of square = 100 square foot.
For the area of circle, we have:
Area of circle = πr²
Area of circle = 3.14 × 5²
Area of circle = 78.5 square foot.
Substituting the parameters into the formula, we have;
Area of shaded region = Area of square - Area of circle.
Area of shaded region = 100 - 78.5
Area of shaded region = 21.5 ≈ 22
Area of shaded region = 22 square foot.
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Complete Question:Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.
(write in algebraic expression) Ice cream shop is open within the month of june,july and august
The shop served 100 fewer customers than they did in july
They served twice as many customers in august as they did in june
In total they served 400 customers over these three months
The algebraic expression of the situation above is 4x - 100 = 400
How to form an algebraic expression?Let
the amount of ice cream they serve in July = x + 100
the amount of ice cream they serve in June = x
They served twice as many customers in august as they did in June.
Therefore,
the amount of ice cream they serve in August = 2(x)
the amount of ice cream they serve in August = 2x
Therefore,
2x + x + x + 100 = 400
4x - 100 = 400
4x = 500
x = 500 / 4
x = 125
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The radius of a semicircle is 3 kilometres. What is the semicircle's perimeter?
Answer:
In terms of Pi: [tex]3\pi + 6[/tex] km
Exact value (rounded): 15.42477 km
Approximated (3.14): 15.42 km
Step-by-step explanation:
Hello!
A semicircle's perimeter can be found using the formula: [tex]P = \pi r + 2r[/tex]
We can plug in the values to solve for the perimeter.
Solve[tex]P = \pi r + 2r[/tex][tex]P = \pi(3)+ 2(3)[/tex][tex]P = 3\pi + 6[/tex]In terms of Pi, it is [tex]3\pi + 6[/tex],
Exact value of Pi, it is 15.42477
Approximation of Pi (3.14), it is = 15.42
What is the solution of the system of equations shown in the graph? On a coordinate plane, a line goes through (0, 4) and (2, 0) and another line goes through (0, negative 1) and (2, 0). The lines intersect at (2, 0). a. (0, 2) c. (0, 4) b. (2, 0) d. (0, -1)
Answer:
(2,0)
Step-by-step explanation:
The intersecting points of the two lines is the solution for the two equations.
(2,0) is the solution.
Find the surface area of the shape below. Round your answer to two decimal places.
The surface area of the given shape is 285.01 ft²
Surface area of a coneFrom the question, we are to calculate the surface area of the given shape.
The given shape in the diagram is a cone.
The surface area of a cone is given by the formula,
[tex]S = \pi r(r+l)[/tex]
Where S is the surface area
r is the radius
and [tex]l[/tex] is the slant height
First, we will calculate the slant height of the cone
[tex]l^{2}=9^{2} +5.6^{2}[/tex] (Pythagorean theorem)
[tex]l^{2}=81+31.36[/tex]
[tex]l^{2}=112.36[/tex]
[tex]l}=\sqrt{112.36}[/tex]
[tex]l=10.6 \ ft[/tex]
∴ The slant height is 10.6 ft
Now, for the surface area
[tex]S = \pi \times 5.6(5.6+10.6)[/tex]
[tex]S = \pi \times 5.6(16.2)[/tex]
[tex]S = 90.72\pi \ ft^{2}[/tex]
[tex]S = 285.0053 \ ft^{2}[/tex]
S ≅ 285.01 ft²
Hence, the surface area of the given shape is 285.01 ft²
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What are all of the prime numbers between 30 and 40?
Answer:
the prime numbers between 30 and 40 are 31 and 37 come on its so easy
What is the value of x?
log 3x =4
A. 7 B. 27 C. 81 D. 12
Answer:
81
Step-by-step explanation:
for example log2 8=3 is the same as 2^3=8, so if you switch around the variables from your question, your able to do 3^4, which is 81
Cynthia beach wants to buy a rug for a room that is 22 ft wide and 31 ft long.she wants to leave a uniform strip of floor around the rug.she can afford to buy 580 square feet of carpeting.what dimensions should the rug have?
The dimensions the rug should have is 20 by 29
How to determine the dimension?The dimension of the rug is given as:
22 ft by 31 ft
The area of the carpet is given as:
Area = 580
Represent the length of the empty space with x.
So, the dimension of the carpet is:
22 - 2x by 31 - 2x
The area is calculated as:
Area = (22 - 2x) * (31 - 2x)
Expand
Area = 682 - 62x - 44x + 4x^2
Evaluate the difference
Area = 682 -106x + 4x^2
Substitute Area = 580
682 -106x + 4x^2 = 580
Subtract 580 from both sides
102 -106x + 4x^2 = 0
Rewrite as:
4x^2 - 106x +102 = 0
Using a graphing calculator, we have:
x = 1 and x = 22.5
Substitute these values in 22 - 2x by 31 - 2x
So, we have:
Length = 22 - 2(1) = 20 or Length = 22 - 2(22.5) = -23
Width = 31 - 2(1) = 29 or Length = 31 - 2(22.5) = -14
The dimensions cannot be negative.
So, we have:
Length = 20 and Width = 29
Hence, the dimensions the rug should have is 20 by 29
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I have 23 hundredths and 12 tenths. Who am I? Convince by using Base 10 Blocks
Answer:
1.43
Step-by-step explanation:
12 tenths ⇒ 1.2
23 hundredths ⇒ 0.23
0.23 + 1.2 = 1.43
Find each square root after supplying:
Answer:
1) 5
2) 0.8
3) -1.3
4) -[tex]\frac{4}{9}[/tex]
5) ±10
6) ±[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
I need help please , I don’t really know much about pre calculus
Answer:
The angle Sita here is called Amplitude
Select ALL the correct answers. Consider the following graph of function f. Which transformations will change function f into function g given below. a vertical shift down 3 units a vertical shift down 5 units a vertical shift up 5 units a horizontal shift left 7 units a horizontal shift right 7 units a horizontal shift left 4 units
1 what is sum of the interior angles of ABCD what is the sum of the exterior angles of CHFE 3 which sides are parallel to CE 4 whicl side id perpendoicular to CE 5 what is the of the measure of
Given that ABCD is a parallelogram, the sum of its interior angles is:
360°
A parallelogram is a rectilinear two-dimensional figure with four sides whose opposite sides are parallel. See the image attached.
What is the sum of the exterior angles of CHFE?The sum of the exterior angles of any Triangle or any polygon is 360°. Hence, the sum of the exterior angles of CHFE (a polygon) is 360°.
Which sides are parallel to CE?The sides that are parallel to CE are:
FH
AD and
IJ.The side that are perpendicular to CE is side side HH, hence we can state that:
CE ⊥ EH, because both lines intersect each other at right angles.
Because the sum of angles in a triangle is 180° and we already have ∠CEH to be equal to ∠90° hence,
∠C + ∠H? = 180° - 90°
= 90°
What is the measure of the exterior angles of a Regular Pentagon?The measure of the exterior angles of a regular pentagon is 72°
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please help 35 points!!
Answer:
67m²
Step-by-step explanation:
12m + 6m + 4m + 36 m 8m = 67m²
Please help me it’s for Plato on edmentum! Algebra 1 Quadratic relationships Mastery test
The equation of the function g(x) will be g(x) = (1/2) x². Then the correct option is B.
The complete question is attached below.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
The function f(x) is given below.
f(x) = x²
Then the function g(x) will be
g(x) = a · x²
Then the value of will be
From the graph, at x = 2, g(x) will be 2.
Then we have
2 = a · 2²
a = 1/2
Then the equation of the function g(x) will be g(x) = (1/2) x².
Then the correct option is B.
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Which expression represents the perimeter of the triangle?
8x + 2
18x
8x
Answer:
8x
Step-by-step explanation:
We can add all of the side lengths of the triangle to figure out the perimeter. 3x-1+3x+1=6x+2x=8x
Can someone help me? I’ll give brainliest to whoever gets it right first
Answer:
108°
Step-by-step explanation:
From the diagram,
Angle X + Angle CXD = 180°
Angle X + 72° = 180°
Angle X = 180° - 72° = 108°
-3+8x-5=-8 solve for x
The value of this equation is x = 0
The representation of an equation of the first degree - is given by:
[tex] \boxed{ \large \sf ax + b = 0}[/tex]
This representation is also defined in a first degree function.
— To solve this expression, let's: add or subtract the real terms. Then we will do the division.
⚘ Resolution
[tex] \large \sf{-3+8x-5=-8}[/tex]
[tex] \large \sf{-8+8x=-8}[/tex]
[tex] \large \sf{8x=0}[/tex]
[tex] \large \sf{x=0 \div 8}[/tex]
[tex] \green{ \boxed{ \boxed{ \blue{ \large \sf{x=0}}}}} \\ [/tex]
Therefore, the value of this equation will be x = 0
A con is tossed 400 times what is the standard deviation
Answer:
deviation is 10
this will help you
3/x=2
How do you solve this without get a loop
Answer:
x= 3/2
Step-by-step explanation:
3/x=2
Multiply x both sides so,
3 =2x
Divide 2 to get the value of x so,
x= 3/2
The weight of 1 cm³ of
water is exactly I g.
A small desk top fish
tank is pictured below.
How much does the
water in the tank weigh
in kilograms?
HELP
Answer:
10,800 kilograms
Step-by-step explanation:
(24 x 30) x 15 = 10,800
or (24 x 15) x 30
solve 2(r+6) =(6+1/3r)
Answer:
r = - 18/5
I hope this helps! ^^
( This problem has 13 steps, so it would take a lot of time to type them in ^^)
Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.
Note: Enter only the simplified result.
Answer: 1
Step-by-step explanation:
First, we will translate this into an algebraic expression.
-> Quotient means we will be using divison
-> Product means we will be using multiplciation
the quotient of 12 and the product of 3 and 4
[tex]\displaystyle \frac{12}{\text{the product of 3 and 4}}[/tex]
[tex]\displaystyle \frac{12}{3*4}[/tex]
Now, I will simplify.
Given:
[tex]\displaystyle \frac{12}{3*4}[/tex]
Multiply:
[tex]\displaystyle \frac{12}{12}[/tex]
Divide:
1
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find the solution set. 4x^2+x=3
Answer:
[tex]x=\frac{3}{4},\:x=-1[/tex]
Keys:
For this problem, you need the quadratic formula(listed below).
[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex][tex]1^a=1[/tex][tex]\sqrt[n]{a}^n=a[/tex]When you see ± in a quadratic equation, you must know there is going to be at least 2 solutions.
Step-by-step explanation:
solving for x₁ and x₂
[tex]4x^2+x=3\\4x^2+x-3=3-3\\4x^2+x-3=0\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot 4\left(-3\right)}}{2\cdot 4}\\[/tex]
[tex]1^2=1\\=\sqrt{1-4\cdot \:4\left(-3\right)}\\=\sqrt{1+4\cdot \:4\cdot \:3}\\=\sqrt{1+48}\\=\sqrt{49}\\=\sqrt{7^2}\\\sqrt{7^2}=7\\=7[/tex]
[tex]x_{1,\:2}=\frac{-1\pm \:7}{2\cdot \:4}\\x_1=\frac{-1+7}{2\cdot \:4},\:x_2=\frac{-1-7}{2\cdot \:4}\\[/tex]
solve for x₁
[tex]\frac{-1+7}{2\cdot \:4}[/tex]
[tex]=\frac{6}{2\cdot \:4}[/tex]
[tex]=\frac{6}{8}[/tex]
[tex]= \frac{6\div2}{8\div2}[/tex]
[tex]=\frac{3}{4}[/tex]
solve for x₂
[tex]\frac{-1-7}{2\cdot \:4}[/tex]
[tex]=\frac{-8}{2\cdot \:4}[/tex]
[tex]=\frac{-8}{8}[/tex]
[tex]=-\frac{8}{8}[/tex]
[tex]=-1[/tex]
Hope this helps!
A researcher asks the first 10 people he meets at a shopping mall about their opinions on a certain brand of shampoo. This is an example of a ________________.
A. self-selecting sample
B. convenience sample
C. random sample
D. systematic sample
Answer:
i believe the answer is A
Step-by-step explanation:
what are the soltuions to the quadratic equation below? 12x squared + 4x -5=0
Answer: 0.5 or - 0.834
Step-by-step explanation: Here is the explanation!
Select the correct answer. Given the following formula, solve for y. w=x-y/2 -z
Given the following formula, w=x-y/2 -z. The value of y is y = x - 2w + wz .
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
Given the following formula,
w=x-y/2 -z
We need to solve for y.
[tex]w = \dfrac{x-y}{2 -z}[/tex]
By cross multiplication
[tex]w\times (2 -z)= {x-y}\\\\2w - wz = x - y[/tex]
subtract x both side
2w - wz -x = x - y -x
y = x - 2w + wz
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x − y = 12
x + 2y = 21
Answer: x=15, y=3
Step-by-step explanation:
Subtracting the two equations, we get -3y=-9, meaning y=3.
Substituting this into the first equation, we get that x-3=12, and thus, x=15.
find the exact value of sin 15 degrees
Answer:
Hi,
Step-by-step explanation:
sin(a-b)=sin(a) cos(b)+ cos(a) sin(b)
a=45° and b=30°
[tex]sin(45^o-30^o)=sin(45^o)*cos(30^o)+cos(45^o)*sin(30^o)\\\\=\dfrac{\sqrt{2}}{2}* \dfrac{\sqrt{3}}{2}+\dfrac{\sqrt{2}}{2}*\dfrac{1}{2}\\\\\\\boxed{sin(15^o)=\dfrac{\sqrt{2}}{4}*(1+\sqrt{3} )}\\[/tex]