Answer:
The answer should be B. :3
Step-by-step explanation:
help asap 7th grade math
The probability that the card that Olga turns over has a rose on it would be 4/5.
Since, Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Given that;
There are 5 cards with a picture of a rose and 1 card with a picture of a daisy.
Olga keeps all the cards face down on the table with the pictures hidden and mixes them up.
Then , Total number of cars after Olga removed one rose card from the table is,
4 rose cards + 1 Daisy card
= 5
Therefore, the probability divide the number of rose cards left by the total number of cards left is,
= 4/5
Learn more about probability here;
brainly.com/question/9326835
#SPJ1
An airplane takes off 600 feet in front of a 60 foot building. At what angle of elevation must the plane take off I’m order to avoid crashing into the building?
Answer: Elevation is going to be greater than 5.71059°
Step-by-step explanation: 60/600 = tan∅ = 0=5.71059°, so 0> 5.71059°
Please help! Easy math problem! 15 pts!!!!
Answer:
90
Step-by-step explanation:
To find how many 18-inch pieces of ribbon there are in 1620 inches, simply divide 1620 by 18.
1620/18 = 90
For the original question, we know that each roll of ribbon is 9 feet long. To convert to inches, multiply 9 by 12.
9*12 = 108
Now, to find how many 18-inch pieces of ribbon there are in 108 inches, divide 108 by 18.
108/18 = 6
Since we have 15 rolls of ribbon, multiply 6 by 15.
6*15 = 90
∴ The dressmaker can cut ninety 18-inch pieces from 15 rolls or ribbon.
Which of the following tables represents a linear function?
The table that represents a linear function is as shown is option B and it is attached
What is linear function?A linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
where
y = output variable
m = slope
x = input variable
c = y intercept
The table for a linear function has the variables in the output y increasing at a constant rate.
The only table that represents this movement is the second table having out put values of
-3, -2, -1, 0, 1
The difference here is +1
Learn more about linear functions at:
https://brainly.com/question/29213643
#SPJ1
Refer to image trigonometry
The trigonometric relation is solved and the unit circle is plotted
Given data ,
Let the unit circle be represented as A and B
Now , in figure A , we get
The radius of the circle is r = 5 units
And the point on the circle is P ( 5 , 5 )
So , the height of unit circle is h = 5 units
Now , the hypotenuse of the circle is = 2√5 units
From the trigonometric relation , we get
sin θ = opposite / hypotenuse
sin z = √5 / 2√5
sin z = 1/2
Taking inverse on both sides , we get
z = 30°
So , the measure of rotation is 60° counterclockwise
In figure B , we get
The radius of the circle is r = 5 units
And the point on the circle is P ( 5 , -5 )
So , the height of unit circle is h = -5 units
Now , the hypotenuse of the circle is = 2√5 units
From the trigonometric relation , we get
sin θ = opposite / hypotenuse
sin z = √5 / 2√5
sin z = -1/2
Taking inverse on both sides , we get
z = -30°
So , the measure of rotation is 30° clockwise
Hence , the trigonometric relation is solved
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ1
HELP ME TODAY PLEASE ITS REALLY HARD FOR ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
10. a. no
b. yes
c. no
d. no
e. no
11. a. yes
b. no
c. yes
d. no
e. no
Write the formula that shows the dependence of the edge length a on the volume V of a cube.
The formula for the volume of a cube whose edge length is E is:
V = E³
How to find the formula for the volume of a cube?We know that for all rectangular prisms, the volume is equal to the product between the 3 dimensions.
The cube is a type of rectangular prism where all the dimensions have the same measure, which is the edge length that we can write as E.
Then the volume V of the cube, which is the product of the 3 dimensions, can be written as:
V = E*E*E
We can simplify that as:
V = E³
That is the formula for the volume.
Learn more about volumes at:
https://brainly.com/question/1972490
#SPJ1
x-70081:671= help i dont understand
The values of the expressions after multiplication are given below
17 ×82 = 1600
54×671=35000
207×643=260000
First, round each number to one significant digit (the first digit).
Then multiply them.
a) 17 --> rounds to 20
82 --> rounds to 80
20 x 80 = 2 x 8 with two zeros
Value is 1600
b) 54 --> rounds to 50
671 --> rounds to 700
50 x 700 = 5 x 7 with three zeros
= 35000
c) 207 --> rounds to 200
643 --> rounds to 600
200 x 600 = 2 x 6 with four zeros
= 120000
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ1
By rounding to 1 significant figure, estimate the answers to these questions:
a) 17x82
b) 54 x 671
c) 207 x 643
A new home is being furnished with a couch that cost 687. 50 how much will the couch cost after a 6% sales tax applied
The final cost of the couch after adding the 6% sales tax is $728.75.
By dividing the cost of the lounge by the applicable deals duty rate, one may calculate the total quantum of deals duty.
Since the deals duty rate is generally expressed as a chance, you must divide it by 100 to get a numeric.
The decimal fellow in this situation is0.06 since the deals duty rate is 6. settee cost x deals duty rate equals deals duty Deals duty is equal to687.50 multiplied by0.06.
Deals duty equals41.25 Accordingly, the settee is subject to a$41.25 deals duty. The final cost of the lounge after the deals duty is assessed is calculated by adding the deals duty quantum to the original cost of the settee. settee cost plus deals duty equals total cost
Total price is687.50+41.25
Total cost = 728.75
Learn more about Tax problems at
https://brainly.com/question/30639000
#SPJ4
if ha is not equals, you have to double the probability of being beyond your test statistic to get your p-value.
a. true
b. false
For this item, enter the answer in the space provided.
The value of z as shown in the pair of similar traingles is 15 in.
What are similar angles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
To calculate the value of z, we use the formula of similar triangle below
Note: ΔQWX is similar to triangle QRS
Formula:
LineQW/LineQR = LineQX/LineQS.................. Equation 1From the diagram question below,
Given:
LineQW = z inLineQR = 20 inLineQX = 3yLineQS = 4ySubstitute these values into equation 1 and solve for z
z/20 = 3y/4yz/20 = 3/4z = (20×3)/4z = 15 in.Hence the value of z is 15 in.
Learn more about similar triangle here: https://brainly.com/question/27996834
#SPJ1
the glass for a picture window is 8 feet wide the door it must pass through is 3 feet wide how tall must the door be for the glass to pass through the door
Answer:
The glass cannot fit through the door.
Step-by-step explanation:
We can use the Pythagorean theorem to solve this problem. Let the height of the door be h.
We know that the diagonal of the glass must be able to fit through the door, so we can set up the following equation:
sqrt(8^2 + h^2) <= 3
Squaring both sides of the inequality, we get:
64 + h^2 <= 9
Subtracting 64 from both sides, we get:
h^2 <= -55
Since a square of a real number cannot be negative, there is no solution to this inequality.
Therefore, the glass cannot fit through the door, regardless of the height of the door.
The door must be at least √55 feet tall, which is approximately 7.42 feet, for the 8-foot wide glass to pass through the 3-foot wide door.
To determine how tall the door must be for the glass to pass through, we first need to calculate the height of the glass. Unfortunately, the height of the glass is not provided in the question. Assuming that the height of the glass is less than or equal to the height of the door, we can proceed as follows:
Let's say the height of the glass is h feet. Then, we know that the glass is a rectangular shape with dimensions of 8 feet by h feet. To pass through the door, the glass needs to be able to fit horizontally and vertically through the opening.
Since the door is 3 feet wide, the glass needs to be able to fit through the opening when turned on its side. Therefore, the height of the glass cannot exceed 3 feet.
So, the door must be at least 3 feet tall for the glass to pass through. However, this assumes that the height of the glass is less than or equal to 3 feet. If the height of the glass is greater than 3 feet, then the door would need to be taller to accommodate the glass.
To determine the minimum height the door must be for the 8-foot wide glass to pass through the 3-foot wide door, you can use the Pythagorean theorem. The glass will need to be tilted diagonally as it passes through the door. Let's label the door's height as 'h' and use the formula:
3² + h² = 8²
9 + h² = 64
h² = 64 - 9
h² = 55
h = √55
The door must be at least √55 feet tall, which is approximately 7.42 feet, for the 8-foot wide glass to pass through the 3-foot wide door.
To learn more about feet, click here:
brainly.com/question/20111809
#SPJ11
The diameter of a circle is 7 cm. Find its area to the nearest whole number.
Since the diameter of this circle is 7 cm, its area to the nearest whole number include the following: 39 square centimeters.
How to calculate the area of a circle?In Mathematics and Geometry, the area of a circle can be calculated by using this formula:
Area = πr²
Where:
r represents the radius of a circle.
Note: Radius = diameter/2 = 7/2 = 3.5 centimeters.
By substituting the radius into the formula for the area of a circle, we have the following;
Area of circle = 3.142 × 3.5²
Area of circle = 38.5 ≈ 39 square centimeters.
Read more on area of circle here: brainly.com/question/15531597
#SPJ1
someone pls help i really need it
Angle S'Q'R' is same as angle SQR which is equal to
55 degreesHow to find the measure of angle S'Q'R'Rigid transformation refers to a type of geometric transformation that preserves the shape and size of an object. In other words, the transformed object is congruent to the original object.
Rigid transformations can be of two types -
translation and rotation.Translation refers to moving an object in a straight line, while rotation refers to turning an object around a fixed point.
Rotation, in particular, has the effect of changing the orientation of the object. However, the length of each side and the angles between them will remain the same.
In a rigid transformation, the position of every point in the object is changed, but the distances between points remain unchanged, as well as the angles between lines and the area of the object.
Learn more about transformation at
https://brainly.com/question/1548871
#SPJ1
Forty-five people were asked about how many miles they walked in one week. The results are shown in the graph. What is the mean number of miles walked by the girls?
5 4/11 miles
5 6/25 miles
5 1/2 miles
5 miles
5 1/8 miles
5 × 4 = 20
9 × 5 = 45
6 × 3 = 18
5 × 7 = 35
Mean = 20 + 45 + 18 + 35/4
= 118/4
= 59/2
5 1/8 = 46/8
5 1/2 = 11/2
5 6/25 = 131
5 4/11 = 59/2
Therefore The Answer is A 5 4/11.
Factor the expression completely.
−
10
�
−
7
�
4
−10x−7x
4
The simplification of the expression −10x - 7x⁴ in the reduced factor form is equal to -1x ( 10 + 7x³ ).
The expression is equal to,
−10x - 7x⁴
From both the terms of the given expression '-1' is the common factor we get,
−10x - 7x⁴
= ( -1 ) ( 10x + 7x⁴ )
Now take variable 'x' common from both the terms of the expressions we get,
= ( -1 × x ) ( 10 + 7x³ )
= -1x ( 10 + 7x³ )
Now nothing is act as common factor in the given expression we have,
Therefore, the simplified factor of the expression −10x - 7x⁴ is equal to -1x ( 10 + 7x³ ).
learn more about expression here
/brainly.com/question/11450122
#SPJ1
The above question is incomplete, the complete question is:
Factor the expression completely.
−10x - 7x⁴
Nuclear reactions can be written out in equation form with information about the nuclei that take place in the fusion reaction and the nuclei that are produced. In one to two sentences, explain how you would identify the reaction as fusion, and give two different criteria.(2 points)
Nuclear fusion involves the combination of two light nuclei to form a heavier nucleus with emission of energy.
Since,
A nuclear reaction equation is a representation of the change that takes place as one nucleus is converted to another. A nuclear transformation could be any of the following;
⇒ Nuclear fission
⇒ Nuclear fusion
⇒ Transmutation
We can know that a nuclear fusion is taking place when two nuclei come together to form a larger nucleus and emit energy. I would identify a nuclear fusion when;
⇒ Two light atom combine to give a larger nucleus
⇒ Tremendous energy is produced
Learn more about the Nuclear fusion visit :
brainly.com/question/1527403
#SPJ1
I don't understand this question
Using Hamilton method for apportioning, the total artists will be 200.
How to calculate the valueUsing Hamilton method for apportioning :
total artists = 94+51+55 = 200
booths = 39
booths for group = (artists in group) / (total artists / no. of booths)
= (artists in group) / (200/39)
booths for painters = (94) / (200/39) = 18.33
= 18 {rounded to nearest integer}
booths for sculptors = (51) / (200/39) = 9.945
= 10 {rounded to nearest integer}
booths for weavers = (55) / (200/39) = 10.725
= 11 {rounded to nearest integer}
Learn more about Hamilton on
https://brainly.com/question/24714949
#SPJ1
Show that the product of two consecutive odd natural numbers is always an odd number. please with clear explanation dont give any links or wrong answers please.....
What is the length of a diagonal of a cube with a side length of 10 cm?
/200 cm
√210 cm
√300 cm
√320 cm
O
or
This graph shows how the total length Francesca has knit depends on the number of nights she has spent knitting.
y
x
1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
7
8
9
10
0
Length knit (centimeters)
Nights
Total length knit
What is the rate of change?
Write your answer as a decimal or integer.
centimeters per night
The constant of variation for the case is 2 centimeters per night.
What is a graph with examples?A graph is a non-linear kind of data structure made up of nodes or vertices and edges. The edges connect any two nodes in the graph, and the nodes are also known as vertices. This graph has a set of vertices V= { 1,2,3,4,5} and a set of edges E= { (1,2),(1,3),(2,3),(2,4),(2,5),(3,5),(4,50 }.
The graph shown in the problem has length as the vertical axis and nights as the horizontal axis.
The points through which the straight line passes are (0, 0) and (10, 20).
The equation of the line can be written as follows,
=> [tex]\frac{y-0}{x-0}=\frac{20-0}{10-0}[/tex]
=> [tex]\frac{y}{x}=\frac{20}{10}[/tex]
=> y = 2x
Thus, the above equation implies that y and x are proportional and 2 is constant of variation.
Hence, the constant of variation for the given case is 2 centimeters per night.
Learn more about Graph at:
https://brainly.com/question/17267403
#SPJ1
The given question is incomplete, So i take the similar question:
This graph shows how the total length Kimi has knit depends on the number of nights she has spent knitting.
What is the constant of variation?
____ centimeters per night
Fill in the blank to make the fractions equivalent.
Answer:
2
Step-by-step explanation:
10/ 5 = 2
15 / 5 = 3
2/3
Answer: 2
Step-by-step explanation:
If you do 3+3+3+3+3 it is 15 and then you did it 5 times so you could do 10 divided by 5 to get 2.so2 is your answer.
The volume of this cylinder is 2,769.48 cubic inches. The radius is 7 inches. What is the height? Use 3.14 and round your answer to the nearest hundredth.
PLEASE HELP
The height of the cylinder will be 18 inches.
Given that:
Volume, V = 2,769.48 cubic inches
Radius, r = 7 inches
Let r be the radius and h be the height of the cylinder.
Then the volume of the cylinder will be given as,
V = π r²h cubic units
The height of the cylinder is calculated as,
2,769.48 = 3.14 x 7² x h
2,769.48 = 153.86h
h = 18 inches
The height of the cylinder will be 18 inches.
More about the volume of the cylinder link is given below.
https://brainly.com/question/12763699
#SPJ1
Can someone please help me out with this problem
Answer:
Step-by-step explanation:
Formula for the volume of a cone:
((r^2)(height)(pi)) / 3
Since we are finding the answer in terms of pi, we will use the pi symbol.
The radius is 18.
The height is 30.
18^2 is 324.
324 x 30 is 9720.
9720 / 3 is 3240.
Answer : 3240 pi.
I need Help please.
If a triangle has a right angle (90 degrees), it is called a right triangle. The side opposite the right angle is called the hypotenuse, and it is the longest side of the triangle. The other two sides are called the legs.
To find the length of the third side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.
The Pythagorean theorem can be written as:
a^2 + b^2 = c^2
where a and b are the lengths of the two legs, and c is the length of the hypotenuse.
But you already know c, and with that c^2, you want to find a through a^2(you can also look for b, it would be the same)
If you rearrange the equasion you get a^2=c^2-b^
Once we have these lengths
c=15,so c^2 is 15^2=15*15=225
b=10,so b^2 is 10^2=10*10=100
we can plug them into the Pythagorean theorem and solve for the unknown side.
a^2=c^2-b^2
a^2=225-100=1125
If a^2 is 125, then a must be the square route if 125
(a is in you case x)
We
The diagram shows a sector of a circle defined by unknown angle x. The area of the sector
is equal to the area of the square. Find the measure of zx.
Express your answer to the nearest tenth of a degree.
The measure of angle x is 114.6°
Here, the central angle of sector of circle is represented by x.
We know that the formula for the area of sector.
A = θ/360 × πr²
where θ is the central angle
and r is the radius of the circle
Here, the area of the sector is equal to the area of the square.
Using the formula for the area of square,
A = side²
A = r²
Since area of sector = area of square,
x/360 × πr² = r²
x = 360/π
x = 114.6°
Thus, the required angle ∠x = 114.6°
Learn more about the area of square here:
https://brainly.com/question/30556035
#SPJ1
Find the complete question below.
16 m
17 m
17 m
Find the area
The area of isoceles triangle is 120 square meters
Let us assume that a and c represents the equal sides of isosceles triangle and b represents the base of isosceles triangle such that a = 17 m, b = 16 m and c = 17 m
Let us assume that h represents the height of isosceles triangle.
We know that the formula for the height of isosceles triangle.
h = [tex]\sqrt{a^2-\frac{b^2}{4} }[/tex]
h = [tex]\sqrt{17^2-\frac{16^2}{4} }[/tex]
h = √(225)
h = 15 m
Using the formula for the area of isosceles triangle,
A = 1/2 × base × height
A = 1/2 × b × h
A = 1/2 × 16 × 15
A = 120 sq. m.
Therefore, the required area is 120 sq. m.
Learn more about the area of isosceles triangle here:
https://brainly.com/question/27845636
#SPJ1
The complete question is:
The sides of isosceles triangle triangle are: 17 m, 17 m and 16 m
Find the area of the isoceles triangle. The area is square meters.
The population p(t) of a culture of bacterium pseudomonas aeruginosa is given by p(t)=-1715t^2+85,000t+10,000, where t is the time in hours since the culture was started.
Therefore, the population is at a maximum approximately 25 hours after the culture was started.
What is function?A function is a mathematical concept that describes a relationship between two sets of values, called the domain and the range. It is a rule or a set of rules that assigns a unique output value for every input value in the domain. In other words, it is a process that takes one or more inputs and produces a corresponding output. Functions are commonly represented using equations, graphs, or tables. They are used in various branches of mathematics, science, engineering, and technology to model real-world phenomena, make predictions, and solve problems.
Here,
To find the time at which the population is at a maximum, we need to find the time when the rate of change of population, or the derivative of p(t), is zero.
p(t) = -1715t² + 85,000t + 10,000
p'(t) = -3430t + 85,000
Setting p'(t) = 0, we get:
-3430t + 85,000 = 0
Solving for t, we get:
t = 24.85
Rounding to the nearest hour, we get:
t ≈ 25
To know more about function,
https://brainly.com/question/28193995
#SPJ1
Solve the triangle ABC, if the triangle exists.
B=34°42'
a = 38.5
b= 30.9
Select the correct choice below and fill in the answer boxes within the choice.
A. There are 2 possible solutions for the triangle.
The measurements for the solution with the longer side c are as follows.
m
m/c='
The length of side c=
(Simplify your answer. Round to the nearest
degree as needed. Round to the nearest minute
as needed.)
(Round to the nearest tenth
as needed.)
The measurements for the solution with the shorter
mZA=
0
mZC=
(Simplify your answer. Round to the nearest
degree as needed. Round to the nearest minute
as needed.)
side c are as follows.
The length of side c=
(Round to the nearest tenth
as needed.)
The solution of the triangle is shown below;
Angle A - 26.98°
Angle C - 118.6°
Side c - 47.98
How do you solve a triangle?If you know the length of one side and the measure of the opposite angle, or the length of two sides and the measure of the angle between them, you can use the Law of Sines to find the other parts of the triangle.
Using the sine rule;
a/Sin A = b/Sin B
aSin B = bsinA
Sin A = bSinB/a
A = Sin-1( bSinB/a)
A = Sin-1(30.9 * Sin 34.42/38.5)
A = 26.98°
Then;
C = (180 - 26.98 + 34.42)
C = 118.6°
Using the sine rule again;
b/sinB = c/Sin C
c = bSin C/Sin B
c = 30.9 * Sin 118.6/Sin 34.42
c = 27.12/0.565
c = 47.98
Learn more about triangle:https://brainly.com/question/2773823
#SPJ1
Select the correct answer from each drop-down menu.
The volume of a sphere whose diameter is 18 centimeters is___π cubic centimeters. If its diameter were reduced by half, its volume would be____of its original volume.
1. a. 246
b. 324
c. 648
d. 972
2. a. 1/2 b. 1/4 c. 1/6 d. 1/8
The volume of a sphere whose diameter is 18 centimeters is 972π cubic centimeters. If its diameter were reduced by half, its volume would be 1/8 of its original volume. So, correct options are D for both blanks.
The diameter of a sphere is 18 cm, so its radius is half of the diameter, which is 9 cm. The formula for the volume of a sphere is (4/3)πr³, where r is the radius of the sphere.
Using this formula, we can calculate the volume of the sphere as follows:
V = (4/3)π(9³)
V = (4/3)π(729)
V = 972π cubic cm
Therefore, the volume of the sphere is 972π cubic cm.
Now, if the diameter of the sphere is reduced by half, the new diameter would be 9 cm, which means the new radius would be half of 9 cm, which is 4.5 cm. Using the same formula for the volume of a sphere, we can calculate the new volume of the sphere as follows:
V' = (4/3)π(4.5³)
V' = (4/3)π(91.125)
V' = 121.5π cubic cm
To find the ratio of the new volume to the original volume, we can divide the new volume by the original volume:
V'/V = (121.5π) / (972π) = 1/8
Therefore, the answer to the first part of the question is option (d) 972π cubic cm, and the answer to the second part of the question is option (d) 1/8.
To learn more about volume click on,
https://brainly.com/question/9627761
#SPJ4