Answer:
33
Step-by-step explanation:
let g be Gabrielle age
m be mikhail age.
So according to this problem,
[tex]g + m = 81[/tex]
[tex]m + 15 = g[/tex]
Subsitue m+15 for g.
[tex](m + 15) + m = 81[/tex]
[tex]2m + 15 = 81[/tex]
[tex]2m = 66[/tex]
[tex]m = 33[/tex]
So mikhail age is 33.
A string of a kite is 100 meters long and the inclination of the string with the ground is 60°. Find the height of the kite, assuming that there is no slack in the string.
Answer:
86.5
Step-by-step explanation:
Length of the string forms the hypotenuse AC of right angle triangle ABC.
C is the kite. A is the hand of the person (or, one end of the string). CB is the perpendicular
(height of the kite) from C on the ground. BC is the horizontal.
Sin 60° CB/AC = √3/2
height = 1.73/2 AC = 0.865 * 100 m = 86.5 m
PLEASE HELP ME ASAP
PLEASE NO RANDOM ANSWER OR SPAM!!!
YES IS THE ANSWER BECAUSE X=9
AND 11+3=87
Louisa is 5 feet 4 inches tall.
How tall is she in inches?
Answer: 64 inches
Step-by-step explanation:
Lisa has 4 dogs. Each of the 4 dogs weighs an integer number of kg. No two of them weigh the same. Their total weight is 60 kg. The second heaviest dog weighs 28 kg. How heavy is the third heaviest dog?
The weight of the third heaviest among the four dogs is 2 kg.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The 4 dogs weight is 60 kg with each dog weight been different. The second heaviest dog weighs 28 kg.
Let the heaviest dog be 29 kg, the third heaviest be 2 kg and the fourth be 1 kg.
29 + 28 + 2 + 1 = 60 kg
The weight of the third heaviest among the four dogs is 2 kg.
Find out more on equation at: https://brainly.com/question/2972832
A box has length 3 ft, width 5 ft, and height 2 ft.
What is the volume?
cu ft
Answer:
30 ft.³
Step-by-step explanation:
3ft. × 5ft. × 2ft. = 30 ft.³
Please rate!! I hope this helps!!
The number 3 is a factor of _________.
A) 4
B) 8
C) 12
=================================================
3 is a factor of 12 because 12 is evenly divisible by 3
4 and 8 are not evenly divisible by 3.
the key word here is evenly (without a remainder)
===================================================
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
A car is on a Ferris wheel with a radius of 20 ft. To the nearest foot, how far does the car travel over an angle of
π
3
radians?
The car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet.
In order to determine the distance that the car has travelled, we will use the formula for calculating the circumference of a circle.
How to calculate Circumference of a circleC = 2πr
where
r = radius
Therefore,
r is the radius of the fairy wheel
r = 20 ft
C = 2 × 3.14 × 20
C = 40 × 3.14
C = 125.6 ft
This shows that the car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet
learn more on circumference here: https://brainly.com/question/23385261
Bob bought n packs of pencils. Each pack has 15 pencils. Write an equation to represent the total number of pencils that Bob bought.
Step-by-step explanation:
each pack 15 pencil
n* 15= 15n
What is the range of f(x)?
A six-sided polygon is shown with sides labeled 12 cm, 10 cm, 10 cm, 8 cm, 6 cm, and 3 cm.
Lily decorated a poster with this polygon for school spirit week. What is the perimeter of Lily's polygon?
A.
149 cm
B.
120 cm
C.
86 cm
D.
49 cm
Answer:
49cm^2
Step-by-step explanation:
The perimeter is just a continuous line which forms the boundaries of a geometric figure.
The perimeter is just all the sides added up.
12cm+10cm+10cm+8cm+6cm+3cm = 49cm^2
round to the nearest hundredth
Answer:
the answer without rounding is 147 but with its 100
Step-by-step explanation:
firsts you add up both sides of the triangle and then you subtract by 180 and now that you your answer but you had to round AN anyting above 150 you would have to run to 200 but you had one 47 so it's 100
Which function includes the pony (0, 9) on its graph?
Answer choices:
A: x=9
B: y=9x^2
C: y= √x + 3
D: y= -1/3x + 9
Answer:
D is d because when You have to do they graph You have multiplicar
Find the surface area of each prism. Round to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
Since surface area is the total area from each side, we will take the area of 3 unique sides (ie. dimensions of A x B x C will give 3 unique surfaces of dimensions A x B, B x C and A x C) and multiply each one by 2 to get the area from its duplicate. This condenses to SA (Surface Area) = 2(AB) +2(BC) + 2(AC).
Substituting in our dimensions:
[tex]SA=2(8\frac{1}{4} * 6\frac{2}{3} )+2(8\frac{1}{4}*12)+2(6\frac{2}{3}*12)[/tex]
Evaluate: SA = 468 yd²
2. When an adult is physically active, suppose the amount of water they will consume is normally distributed with an average of 20 ounces of water with a standard deviation of 7 ounces. If 10 adults are physically active, what is the probability that the average water consumed by them is less than 18 ounces? (note that we are working with a sampling distribution in this question). Report to 5 decimal positions
Using the normal distribution and the central limit theorem, it is found that there is a 0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].For the population, the mean and the standard deviation are, respectively, given by [tex]\mu = 20, \sigma = 7[/tex].
For samples of n = 10, the standard error is given by:
[tex]s = \frac{7}{\sqrt{10}} = 2.2136[/tex]
The probability that the average water consumed by them is less than 18 ounces is the p-value of Z when X = 18, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{18 - 20}{2.2136}[/tex]
Z = -0.9.
Z = -0.9 has a p-value of 0.18406.
0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Raul is drawing a plan for his bedroom. He needs to determine
the material costs for his flooring. The blueprint of the bedroom
uses a scale of 1 inch = 4 feet. If the flooring material costs
$2.55 per square foot, how much will it cost to buy the flooring
for Raul's bedroom?
The length on the blueprint is 3.25 inches. The width is 2.75 in.
The cost to buy the flooring for Raul's bedroom is $364.65.
What is the cost to buy the flooring for Raul's bedroom?A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Actual length of the bedroom = 4 x 3.25 = 13 feet
Actual length of the bedroom = 4 x 2.75 = 11 feet
Area = 143 square feet
Cost = 143 x 2.55 = $364.65
To learn more about scale drawings, please check: https://brainly.com/question/26388230
A triangle has an area of 48 square centimeters. The height of the triangle is 6 centimeters. What is the base of the triangle?
Question :-
A Triangle has an Area of 48 cm² . The Height of the Triangle is 6 cm . What is the Base of the Triangle ?Answer :-
Base of Triangle is 16 cm .Explanation :-
As per the provided information in the given question, we have been given that the Area of Triangle is 48 cm² . It's Height is given as 6 cm . And, we have been asked to calculate the Base of Triangle .
For calculating the Base of Triangle , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Triangle} \: = \: \frac{1}{2} \: \times \: B \: \times \: H \: }} [/tex]
Where ,
B denotes to the Base .H denotes to the Height .Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \sf { Area \: _{Triangle} \: = \: \dfrac{1}{2} \: \times \: Base \: \times \: Height } [/tex]
[tex] \longmapsto \: \: \: \sf {48 \: = \: \dfrac {1}{2} \: \times \: Base \: \times \: 6 } [/tex]
[tex] \longmapsto \: \: \: \sf {48 \: \times \: 2 \: = \: 1 \: \times \: Base \: \times \: 6} [/tex]
[tex] \longmapsto \: \: \: \sf {96 \: = \: 1 \: \times \: Base \: \times \: 6} [/tex]
[tex] \longmapsto \: \: \: \sf {96 \: = \: 6 \: \times \: Base } [/tex]
[tex] \longmapsto \: \: \: \sf {Base \: = \: \dfrac {96}{6} } [/tex]
[tex] \longmapsto \: \: \: \textbf {\textsf {Base \: = \: 16 \: cm}} [/tex]
Hence :-
Base of Triangle = 16 cm .[tex] \underline {\rule {180pt} {4pt}} [/tex]
A triangle has an area of 48 square centimetres. The height of the triangle is 6 centimetres. What is the base of the triangle ?
Given : - Area of triangle = 48 cm²Height of triangle = 6 cmTo Find : -Base of triangle Formula Used : -[tex] \blue{\boxed{Area \: of \: triangle = \frac{1}{2} \times b \times h}}[/tex]
Where ,
b = Base of triangleh = Height of triangle Concept : -In this question the concept belongs to the areas of two dimensional shapes i.e. how we can find length , breadth or height with the help of given area .
So let's get started : -[tex] \longmapsto \: 48 = \frac{1}{2} \times b \times 6[/tex]
Now , transposing 2 to left hand side :
[tex] \longmapsto \: 48 \times 2 = 1 \times b \times 6[/tex]
Now , multiplying 48 with 2 and multiplying b with 1 and 6 :
[tex] \longmapsto \: 96 = 6b[/tex]
Now , transposing 6 to left hand side :
[tex] \longmapsto \: \cancel\frac{96}{6} = b[/tex]
Now , by cancelling them we get :
[tex] \longmapsto \: \red{ \boxed{ \sf{b = 16 \: cm}}}[/tex]
Therefore , base of triangle is of 16 cmVerifying : -We know that area of triangle is equal to 48 cm². So :
[tex] \rightarrow \: \frac{1}{ \cancel2} \times \cancel{16} \times 6 = 48[/tex]
Now , by cancelling 16 with 2 we get :
[tex] \rightarrow \: 8 \times 6 = 48[/tex]
So , by multiplying we get :
[tex] \rightarrow \: 48 = 48[/tex]
That means :
[tex] \rightarrow \: L.H.S = R.H.S[/tex]
Hence , Verified .Therefore, our answer is valid .#Keep Learningcarlos made a list of the scores he obtained on 10 test. 43, 72, 75, 86, 91, 91, 91, 95. The teacher will remove the lowest score from the list. which statical measure will increase if the lowest scored is removed?
Answer:
mean
Step-by-step explanation:
The mean will decrease, in an option of mean, mode, median and range:)
Need help and I need answer
Answer:
D
Step by step explanation:
[tex]x^3 \cdot \sqrt[3]{x}\\\\=x^3 \cdot x^{\tfrac 13}\\\\=x^{3+ \tfrac 13}\\\\=x^{\tfrac{10}3}[/tex]
Find the perimeter and area of the following triangle.
Answer:
perimeter=21 area=12
Step-by-step explanation:
perimeter- 5+6+10=21
area- b x h x 1/2
6x4/2
24/2
12
What is the sum of 8 of the interior angles of a regular decagon?
Answer:
1152°
Step-by-step explanation:
interior angles of polygon = (n - 2) x 180, where n is the number of sides.
Decagon has 10 sides. 10 - 2 = 8 and 8 x 180 = 1440
Since there are 10 angles, Each angle a= 1440 / 10, which equals 144.
Finally, multiply 144 by 8 and you get 1152°
Find a function whose graph is a parabola with vertex (4,-5) and that passes through the point (2, 3).
Answer:
4 ,-5
Step-by-step explanation:
I hope it's helpful for you5
Solve for x. Round all answers to the nearest tenth.
X
32
14
O 11
O 11.7
O 10.2
O 11.9
Answer:
11.9
Step-by-step explanation:
Making sure your calculator is in degree mode, we have:
[tex] \cos(32) = \frac{x}{14} [/tex]
[tex]x = 14 \cos(32) = 11.9[/tex]
A banshees s dD dsbshshshs shshshshshah
Please don't spam the questions.
Step-by-step explanation:
How can you best use the word protrude in an art related sentence?
A. A shelf protrudes into a wall
B. A gravestone protrudes from the ground.
C. The wires from the computer protrude behind the desk.
D. A lollipop stick protrudes into your mouth.
Answer:
B. A gravestone protrudes from the ground.
Step-by-step explanation:
To protrude means to stick out. All other answers describe the object behind or inside something.
mitchell has a small bag with 12 m& ms
Answer:
You may want to add more context to this question.
Step-by-step explanation:
Find the value of x.
Answer:
Maybe 8
Step-by-step explanation:
because its the same side
heres my question: A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went down a water slide.
4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data. um so yea thats my question, if u have answers to it please reply to me! thanks! :)
As 12 visitors went down a water slide 4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11 and 1 times, the average number of times each visitor went down is 11.41.
AveragesTo reach that answer, the following calculation must be performed:
(4 + 22 + 16 + 10 + 11 + 20 + 20 + 12 + 6 + 3 + 11 + 1) / 12 = X137 / 12 = X11.41 = XTherefore, each visitor went down, on average, 11.41 times.
Learn more about averages in https://brainly.com/question/897199
What is the characteristics of a scatterplot
Answer:
Graphs pairs of numerical data, with one variable on each axis, to look for a relationship between them
Step-by-step explanation:
The scatter diagram graphs pairs of numerical data, with one variable on each axis, to look for a relationship between them. If the variables are correlated, the points will fall along a line or curve. The better the correlation, the tighter the points will hug the line.
find the area of the blue shaded region
Answer:
160 cm²
Step-by-step explanation:
Hello!
We can find the area of the blue shaded. region by finding the area of the rectangle, and subtracting the area of the triangle.
Area of rectangle:
Find the area of the rectangle
A = Base x HeightA = 10 x 20A = 200The units are cm so the area is 200 cm²
Area Triangle:
Find the area of the triangle
A = 0.5( Base x Height)A = 0.5(10 * 8)A = 0.5(80)A = 40The units are cm so our area is 40 cm²
Area Shaded:
Now we can simply subtract the triangle area from the rectangle.
200 cm² - 40 cm²160 cm²There are 12 girls and 16 boys . What is the largest number in each group?
Answer:
Step-by-step explanation:
The largest number of groups they can be split into and have the same number of boys and girls on each team is 6 groups
Given:
Number of girls = 12
Number of boys = 16
Find the highest common factor of 12 and 16
12 = 1, 2, 4
18 = 1, 2,4
The highest common factor of 12 and 16 is 4
Number of girls in each group = 12/4
= 3 girls
Number of boy in each group = 18/4
= 4.5 boys=5
Therefore, the group can be split into 4 groups to have 3 girls and 5 boys in each group