Using proportions, it is found that they had traveled 624 miles when Christopher fell asleep.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, Christopher fell asleep at a distance that is 65% of 960 miles, hence the distance they had traveled is given by:
D = 0.65 x 960 miles = 624 miles.
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The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches. A shaded circle is inside of a larger unshaded circle. What is the probability that a point chosen at random will be in the shaded region? Round the answer to two decimal places. 0.25 0.33 0.66 0.75
The probability that a point is chosen at random in the shaded region will be 0.25.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Probability = (Favorable event) / (Total event)
The area of the shaded circle below is 78.5 square inches.
The area of the large circle is 314 square inches.
A shaded circle is inside of a larger unshaded circle.
Then the probability that a point is chosen at random in the shaded region will be
P = 78.5 / 314
P = 1 / 4
P = 0.25
Then the correct option is A.
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what are all the factor parts of 15
Answer:
1,3,5,15
Step-by-step explanation:
Craig is constructing weights of different sizes to use in his home gym. One such weight is a solid steel sphere with a radius of 3.5 inches. The density of steel is 0.284 pounds per cubic inch. What is the approximate
mass of the spherical weight?
A. 51 pounds
B. 77 pounds
C. 15 pounds
D. 44 pounds
The approximate mass of the spherical weight is 51 pounds
To answer the question, we need to know what the mass of the sphere is
Mass of the sphereThe mass of the sphere m = ρV where
ρ = density of steel = 0.284 lb/in³ and V = volume of sphere = 4πr³/3 where r = radius of sphere = 3.5 inSo, m = ρV
= ρ4πr³/3
Substituting the values of the variables into the equation, we have
m = ρ4πr³/3
= 0.284 lb/in³ × 4π(3.5 in)³/3
= 0.284 lb/in³ × 4π × 42.875 in³/3
= 48.706π lb/3
= 153.014 lb/3
= 51 lb
The approximate mass of the spherical weight is 51 pounds
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From the diagram shown, find the measurement of the indicated angle.
Answer:
x = 50°
Step-by-step explanation:
The three angles of any triangle always add up to 180°. Here, we have a 40° and a right angle. Right angles are always 90°.
To find the value of x, find the sum of the two other angles.
90 + 40 = 130°
Since we know that all angles add to 180, we can conclude the following:
x + 130 = 180
x = 50°
Hope this helps
Jerry, skyler and kyle were measuring the tank (cylinder) for storing water tower on the hill. working together jerry and skyler determine the circumference was approximately 295.3 feet. kyle measured the height to be about 40 feet. what is the potential volume of the tank?
If the radius of the cylinder is 47 feet. Then the volume of the cylinder will be 277,450.4 cubic feet.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
Jerry, Skyler, and kyle were measuring the tank (cylinder) for storing the water tower on the hill.
Working together jerry and Skyler determine the circumference was approximately 295.3 feet.
Kyle measured the height to be about 40 feet.
Then the volume of the cylinder will be
Volume = πr²h
Then the value of r will be
We know the circumference. Then the radius will be
295.3 = 2πr
r = 47 ft
Then we have
Volume = π x 47² x 40
Volume = 277,450.4 cubic ft
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( 9 x 7 ) - ( 9 x 5 )
Answer:
18
Step-by-step explanation:
63-45=18
Here you go, enjoy!
Which results only in a horizontal compression of Y =
by a factor of 6?
1
O y = 6x
O y= 6x
6
O Y =
X
o
y = -2
6
y=-
х
Answer:
B
Step-by-step explanation:
7x+8=-5x+32 can someone tell me what x is pls
Answer:
x =12
Step-by-step explanation:
combine like terms 32+ = -8 = 24 then divide 2x on each side 24/ 2x which simipfy to 12
Write the eq in cylindrical coordinates 7x^2-5x 7y^2 z^2=3
The equation 7x² - 5x + 7y² + z² = 3 in the cylindrical coordinate system is 7r² - 5r cos θ + z² = 3.
What is the cylindrical coordinate?In the cylindrical coordinate system, cylindrical dimensions are ordered triples that describe the location of a point.
The equation is given below.
7x² - 5x + 7y² + z² = 3
The conversion of the cartesian coordinate to the cylindrical coordinate system.
x = r cosθ
y = r sinθ
z = z
Then put these values in the equation. Then we have
[tex]\begin{aligned} 7(r \cos \theta)^2-5(r \cos \theta) + 7(r \sin \theta)^2 + z^2 &=3\\\\7r^2 \cos ^2\theta-5r \cos \theta + 7r^2 \sin ^2\theta + z^2 &=3\\\\7r^2 (\sin ^2\theta + \cos ^2\theta ) - 5r \cos \theta + z^2 &= 3\\\\7r^2 - 5r \cos \theta + z^2 &= 3 \end{aligned}[/tex]
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Simplify the expression.
5² (5³ · 5²)
The value of the expression is
[tex]5^2(5^3 \cdot 5^2)\\\\=5^{2+3+2}\\\\=5^7\\\\=78125[/tex]
Answer:
5^7 or 78125
Step-by-step explanation:
5^2 (5^3 x 5^2)
This is the 5^2 is the same thing as 5x5 while 5^3 is the same as saying 5x5x5, when we evaluate these equations we get a new formula:
= 25 ( 125 x 25)
now we simplify.
= 25 (3125)
= 78125
Azeyah wants to buy a wooden rod to install curtains on the window of his room. The area of the window is ( 4x²+2x-12 ) cm². If the window's height is ( 2x+4 ) cm, what is the length, in cm, of the wooden rod required?
Pls help ASAP
Answer:
(2x - 3) cm
Step-by-step explanation:
Area of window = height × length
Given:
Area = (4x² + 2x - 12) cm²Height = (2x + 4) cmTo find the length of the window, factor the expression for Area.
Factor [tex]4x^2+2x-12[/tex]:
Find 2 two numbers that multiply to the product of the leading coefficient and the constant (4 × -12 = -48) and sum to the coefficient of the middle term (2): -6 and 8
Rewrite the middle term as the sum of these 2 numbers:
[tex]\implies 4x^2-6x+8x-12[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 2x(2x-3)+4(2x-3)[/tex]
Factor out the common term (2x - 3):
[tex]\implies (2x+4)(2x-3)[/tex]
Therefore, the length of the window is (2x - 3) cm
(2x-3)cm
Answer:
Solution given:
height =2x+4
length=?
Area of window =(4x²+2x-12)cm²
we have
length*height =Area
length*(2x+4)=4x²+2x-12......(1)
Firstly let factorize 4x²+2x-12
taking common 2(2x²+x-6)
doing middle term factorization 2(2x²+4x-3x-6)
=2(2x(x+2)-3(x+2))
=2(x+2)(2x-3)
substituting it in equation 1
length*(2x+4)=2(x+2)(2x-3)
length*2(x+2)=2(x+2)(2x-3)
length =2x-3 cm
The length of window is (2x-3)cm
If y - 9 = 3, what is
the value of 4(y + 3)?
Answer:
you have to find what y equals then then subtract 9 from it so what minus 9 equals 3
help me please i need to get this right to pass
A. X is less than -1
find the center and radius
Answer:
centre = (0, 0 ) , radius = 2
Step-by-step explanation:
the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 4 ← is in this form
with centre (0, 0 ) and r = [tex]\sqrt{4}[/tex] = 2
How to work this out
Answer:
2x^2+x^2
=3x
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if you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8, how many different ice-cream sundaes can you make?
If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8. Then the number of the different ways to make ice cream will be 96.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8.
Then the number of the different ways to make ice-cream sundaes will be
Let x be the number of the ways.
[tex]\rm x = \ ^{12}C_1 \times ^8C_1\\\\x = 12 \times 8\\\\x = 96[/tex]
Then the number of the different ways to make ice cream will be 96.
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which fractions are equivalent to the value of 2/10 + 20/100? drag and drop the fractions into the box.
Lets see
2/10+20/1002/10+2/102+2/104/102/5The sum of two numbers is 29 and their difference is 13.
Set up two equations by letting x and y be the two numbers.
Use x as the larger of the 2 numbers.
sum equation:
difference equation:
Answer:
Sum equation: x + y = 29
Difference equation: x - y = 13
5
Die
1 point
Which two expressions are equivalent?
15 : (4 + 1) and 15 : 4+1
5 - (x + 7) and 5 – (7 + x)
х
-
(12 – 8) – 4 and 12 – (8 – 4)
2: (3 - 11) and (3 – 11) - 2
Answer: if you answers my question ill answer this
Step-by-step explanation:
pleade
Answer:
Option B is correct
Step-by-step explanation:
Both expressions are the same, but the x and the 7 in the parentheses are flipped. Since they are in closed parentheses, this does not affect the outcome of the expression at all.
PLA HELP ITS WORTH 20 POINTS AND ILL LIKE SUPER FAST !!!
Answer:
x = 14
Step-by-step explanation:
2(4x+1) + (5x-4) = 180
13x-2=180
x = 182/13 = 14
It is an isoceles triangle, so D = E
F = 66
D = E = 57
A large cone is cut into two parts, a smaller cone and a frustum of a cone.
The height of the large cone is 20 cm.
The height of the smaller cone is 4 cm.
The radius of the base of the large cone is 6 cm.
The radius of the base of the smaller cone is 4 cm.
Workout the volume of the frustum.
radius of small cone= 4 cm
radius of large cone= 6 cm
height of small cone= 4 cm
height of large cone= 20 cm
solution:big:[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex]v = \frac{1}{ 3} \times \pi \times {6}^{2} \times 20[/tex]
[tex]v = 753.98 \: {cm}^{3} [/tex]
small:[tex]v = \frac{1}{ 3 } \pi {r}^{2} h[/tex]
[tex]v = \frac{1}{3} \times \pi \times {4}^{2} \times 4[/tex]
[tex]v = 67.02 \: {cm}^{3} [/tex]
frustum:[tex]v = 753.98 - 67.02[/tex]
[tex]v = 686.96 \: {cm}^{3} [/tex]
volume of smaller cone:
[tex] = 67.02 {cm}^{3} [/tex]
volume of larger cone:
[tex] = 753.98 {cm}^{3} [/tex]
frustum:
[tex] = 686.96 {cm}^{3} [/tex]
Paper towel rolls are covered with a plastic wrapper. How much plastic would be needed to cover the paper towel roll shown below?
The area of a 2D form is the amount of space within its perimeter. The plastic that would be needed to cover the paper towel roll is 263.76 in².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The plastic that would be needed to cover the paper towel roll is equal to the surface area of the paper towel roll, therefore, the surface area is,
Total surface area = (2πrl) + 2(πr²)
= (2×π×3×11) + 2(π×3×3)
= 66π + 18π
= 263. 76 in²
Hence, The plastic that would be needed to cover the paper towel roll is 263.76 in².
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Tiana deposited $60 in an account earning 10% interest compounded annually. To the nearest cent, how much will she have in 3 years?
Answer:Go look Under.... You think u smart.....
Step-by-step explanation:
Write the rate as a decimal.
10%=0.10
Calculate the balance.
B= p(1+r)^t
= $60(1+0.10)^3
= $60(1.10)^3
= $60(1.331)^3
= $79.86
The balance will be $79.86
PLEASE HELP IM FAILING GEOMETRY HELPPPP
Answer:
473.145 in squared
Step-by-step explanation:
Trick reminder: the top of the cylinder does not need to be calculated because it is the same as the negative part of the rectangle beneath.
20.25*3.14 = 63.585
6*28.26 = 169.56
10*10 = 100
10*3.5*4 = 140
63.585 + 169.56 + 100 + 140 = 473.145
A quarterback throws a football with a velocity of 42 mph and a direction of 172°. The wind on the field is 13 mph with a direction of 345°. What are the true speed and direction of the football? Round the speed to the thousandths place and the direction to the nearest degree.
The true speed and direction of the football thrown by the quarterback is 39.139 mph and 7⁰ respectively.
How to find the Relative velocity of the football?The true speed and direction of the football is determined by applying the concept of relative velocity.
Vr/w = Vb - Vw
where;
Vr/w is the velocity of the football with respect to the wind
Vb is the velocity of the football
Vw is the velocity of the wind
Vr/w = 42 mph - 13 mph = 29 mph
The direction speed can be determined by a triangle
Direction of the speed, θ = (360 - 345) - (180 - 172)
θ = 15 - 8 = 7⁰
Resultant speed;
[tex]R^2 = 42^2 + 13^2 - 2(42 \times 13 \times cos7)\\\\R^2 =849.139\\R = \sqrt{849.139}\\R = 29.139 mph[/tex]
Thus, the true speed and direction of the football thrown by the quarterback is 39.139 mph and 7⁰ respectively.
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Answer:
29.140 ; 175
Step-by-step explanation:
HELP ASAP PLEASE
WILL MARK AS BRAINLIST IF YOU SOLVE THESE TWO QUESTIONS
The picture is for question 2 not 3
Question 2
How many paths are there from A to B if you must travel along the lines moving up and right only?
Question 3
In my backyard there are chickens and cows (no other animals). Among them there is a total of 366 eyes and 558 legs. How many
chickens do I have in my backyard?
2. Answer: 35
Step-by-step explanation:
4x3 grid so 4!= 24 and 3!= 6 4+3=7 so 7! = 5040 now 7!/4!*3!=35.
HELPPPP ASAP I HAVE ONLY 5 MINUTES LEFT TO ANSWER OR ILL GET A 0 ILL GIVE BRAINLY!!(05.04 MC)
An image of a rectangular prism is shown below:
Part A: A cross section of the prism is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answe
(5 points)
Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of the resulting cross section? (5 points)
Answer:
Rectangular prism
Triangular prism
part 2
When the rectangular prism is cut across the opposite diagonals, then the shape formed would be a triangular prism shape
Step-by-step explanation:
How many 1/2 cup servings are there in a3/4 cup of cereal?
Answer:
1 and a half
Step-by-step explanation:
There is one full half cup in a 3/4 cup. A half of a half is a fourth and there is still one more fourth left so 1/2 plus 1/4 is 3/4.
The air temperature of a town was 22 degrees. It decreased by 12.5 percent. What was the new
temperature?
Answer:
19.25 degrees
Step-by-step explanation:
original temperature = 22 degrees
decreased percentage = 12.5 percents
the new temperature = 22 - (22×[12.5÷100])
=22 - (137.5÷50)
=22 - 2.75
=19.25
Why is math hard and why do a lot of people hate it?
Answer:
Math is hard and a lot of people hate it because sometimes when math is important and they mess up, they mess up a lot more than just the numbers. Also, some people don't like the big numbers and the algebra involved.
Step-by-step explanation:
