Answer:
a) 9 ft.
Step-by-step explanation:
The bath and the tent along with their shadows and the ground make 2 similar triangles. So:
4/6 = 6/x
4x = 36
x = 9 ft.
writes 25 x 10 to the power of 6
[tex](25*10)^6[/tex]
Sure hope this helps you
And please mark me brianiest if this is correct
SOMEBODY PLEASE HELP ME
Answer:
Step-by-step explanation:
There are 2022 kangaroos and some koalas living across seven parks. in each park the number of kangaroos is equal to the number of koalas in all the other parks. how many koalas live in the seven parks in total
Answer:
337
Step-by-step explanation:
I remember this from UKMT maths challenge.
Let the number of kangaroos in each of the seven parks be , , , , , and with the
corresponding number of koalas being , , , , , and . The question tells us that the
number of kangaroos in any park is equal to the sum of the numbers of koalas in the other six
parks. Therefore we have
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + .
Adding these equations, we obtain
+ + + + + + = 6( + + + + + + ).
The total number of kangaroos in the seven parks is 2022. Hence
+ + + + + + = 2022.
Therefore
2022 = 6( + + + + + + )
and hence the total number of koalas in the seven parks is
+ + + + + + = 2022 ÷ 6 = 337.
Find the equation of the straight line passing through the point (3,5) which perpendicular y=3x +2 to the line
The equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
To find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y = 3x + 2, we will first find the slope(m).
To find the slope m of the perpendicular equation;
y = 3x + 2 --------------(1)
comparing the equation above with the standard equation of a circle
y=mx + c
m=3
The slope of the perpendicular equation;
= -1
3 = -1
Divide both-side of the equation by 3
= -1/3
so, the slope of our perpendicular equation is -1/3
Then, we go ahead to find our intercept
To find the intercept, we will plug in the points and the new slope into the formula y =mx + c
5 = -(3) + c
5 = -1 +c
Add one to both-side of the equation
5+1 = -1 + c + 1
6 =c
c=6
our intercept c is equal to 6
so we can now proceed to form our equation.
y = - x + 6
Multiply through by 3
-3y = -x + 18
We can rearrange the equation, hence;
x -3y -18=0
Therefore the equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0
To know more about equations follow
https://brainly.com/question/2972832
#SPJ1
find the area of this triangle. round to the nearest tenth. 17 m, 15 m, and 35 degrees
area of triangle
= 1/2 b*h
=1/2 17*15
=8.5*15
=127.5m²
Which side of a right triangle has the longest length?
Answer:
hypotenuse
Step-by-step explanation:
A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)
Which graph shows the solution to the system of linear inequalities?
2x – 3y <12
y < –3
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
The statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.
The second solid line has a positive slope and goes through (0, - 4) and (3, -2). Everything above the line is shaded.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have two inequality:
2x – 3y <12
y < –3
If we draw these two inequalities on the graph, we will see:
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded.
The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
Thus, the statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
Use the inverse matrix to solve this system of equations:
An inverse matrix is drawn from the concept of reciprocity in which the product of a number and its reciprocal will sum up to one (1). Note that an identity matrix is equal to the product of a square matrix and its inverse.
What other kinds of matrixes are there?In mathematics you have the following types of matrices:
Column matrixNull MatrixSquare MatrixRow MatrixLower Triangular Matrix etc.It is to be noted that the information required to solve the equation is incomplete hence the general answer.
Learn more bout matrixes at:
https://brainly.com/question/94574
#SPJ4
A rectangle has an area of 4y2 – 49 square
units. What are the dimensions of the
rectangle?
Answer:
D. (2y - 7) units by (2y + 7) units
Step-by-step explanation:
[tex]A(rectangle) =4y^2-49[/tex][tex]\implies A(rectangle) =(2y)^2-(7)^2[/tex][tex]\implies A(rectangle) =(2y-7)(2y+7)[/tex]-> D(rectangle) = (2y-7) units by (2y + 7) unitsSuppose a 12 acre plot of land is being divided into 1/4 acre lots for a hosing development. How many lots will there be in the development.
Answer:
48 lots
Step-by-step explanation:
Please help me,Please I have a class in 2 hours Please help me
To find the perimeter of a shape you add all the side lengths together.
Perimeter of A is 20cm because 7+7+3+3=20
Perimeter of B is 27cm because 9+8+10=27
Perimeter of C is 17cm because 6+6+5=17
Perimeter of D is 34cm because 10+10+4+4+3+3=34
On shape E there is one side length that we do not know. To find that do 8-3=5 because 5+3 would be the opposite side of the 8. Now do 5+8+8+4+12+3=40 cm which is the perimeter of shape E.
I hope this helps you have a good day
*ANSWER*
What is the value of x?
x =6
Answer;
10
Step-by-step explanation:
from the question we observed that the shape is a right angled triangle.
and according to Pythagoras theorem, In a right angled triangle the square of the hypothenus is equal to the square of the sum of the other two side
hypothenus = 10
10^2= 8^ + X^2
100= 64 +X^2
X^2 = 100-64
X^2 = 36
X = √36
X= 6
Sales $100 10 12 16 18 22 24 Temperature °C (a) How would you characterize the relationship between the money spent on calling fans to the temperature? Explain. (b) The function y=20x+0 is used to model this situation. What is the predicted amount of sales if the temperature is 21 degrees Celsius? Show your work. (c) What does the number 0 in the function mean in the context of this situation? Answers:
#1
As this is a scatter plot so we have to draw a suitable line then have to find the equation of line inorder to fulfill our requirements.
#2
y=20x+0Put temperature as 21(x)
y=20(21)y=420#3
0 is the y intercept or the initial amount of sales
It's denoting to the fact that there were initially 0 boxes
Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat? $ $
Answer:
$102
Step-by-step explanation:
Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat?
1. Convert the discount percentage to a decimal:
15/100 = 0.15
2. Multiply the original price by the decimal:
120*0.15 = $18
This is the discount they got.
3. Now, subtract the discounted value from the original price:
120 - 18 = $102
This means that they paid $102 for the coat.
Hope this helps!
Answer:
$102
Step-by-step explanation:
15% of 120
= 15/100×120
0.15×120=$18
therefore, 15% of 120 equal 18
discount= $18
Amount she paid= 120-18= $102
PLEASE HELP!! I WILL MARK BRAINLEST!
Which of the following is the best buy?
4 lb. for $27.60
6 lb. for $41.28
7.5 lb. for $51.63
8 lb. for $55.12
what is 0.000285 expressed in scientific notation
Answer: the answer is 2.85 x 10^-4
Step-by-step explanation:
or u can just look up Mathway and that will give you the answer and a much quicker way too https
The annual fundraising goal of a college is $100,000. so far $58,743 has been raised. how much more money is needed to reach the goal?
Answer:
41,257
Step-by-step explanation:
100,000
-
58,743
-------------
41,257
The amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The annual fundraising goal of a college is $100,000.
Let x be the amount that is needed to reach the goal.
The linear equation in one variable can be framed as follows:
x + 58,743 = 100,000
x = 100,000 - 58,743
x = $41257
Thus, the amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
If:
JT = 22x +9,
CJ = 62 +4, and
CT = 37,
Find JT.
jt- 22x+9..
It clearly says JT=22X+9
try 22+9..?
please help! question in the picture. thank you!!!
Answer:
3 timesV = 1/3BhStep-by-step explanation:
A prism has a uniform cross-section equal in area to its base area. The volume of a prism is the product of this cross-section area and the length between the parallel bases.
__
A pyramid or cone has a cross section whose linear dimension is directly proportional to the distance from the peak. The volume is 1/3 of the product of the base area and the height.
V = (1/3)Bh . . . . . formula for volume of a pyramid
__
Since the pyramid volume is 1/3 that of a prism with the same overall dimensions, the prism has 3 times the volume of the pyramid.
Find the volume of this cone round your answer to the nearest whole number use 3.14 for pi diameter = 5 mm, height = 6 mm
Answer:
Answer = 39.25 or 39 if rounded to the nearest whole number
Step-by-step explanation:
The formula for finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the diameter is 5. Since we know the diameter we know that the radius is 2.5 since it is one half of the diameter. Now that he know the radius and height we can plug the values into the equation to get V=39.25
Hope that helps! :)
Subtract 8 from me. Then add 9. If you add 12 and then
subtract 4, you get 18. What number am I?
Answer:
9
Step-by-step explanation:
x - 8 + 9 + 12 - 4 = 18
x = 9
How would I make a dot plot with these requirements?:
1. It has at least 10 values.
2. It has at least 3 values that are different.
3. It has a mean and median of 12.
Answer:
2
Step-by-step explanation:
Joe paid 14.00 for a board game this is 70 of the original price what was the original price
Answer:4.2
Step-by-step explanation:
14 times 70% subtracted from 4.2
The original price or cost price of a board game is 20.
What is cost price?The cost price is the price at which "goods are bought by merchant or retailer".
According to the question,
Joe paid 14.00 for a board game which is 70% of the original price or cost price.
In order to find cost price or original price. Let 'x' be the original price or cost price
70% = 14
100% = x
x = [tex]\frac{1400}{70}[/tex] [cross multiplication]
=20
Hence, the original price or cost price of a board game is 20.
Learn more about cost price here
https://brainly.com/question/14256451
#SPJ2
Jacqueline is cleaning the barn and needs to give her horse freshwater.the water trough holds 70 gallons of water the hose she has to use as a flow rate of 6 gallons per minute. how long will it take to fill the water trough?
Select the correct answer from the drop-down menu. an automobile manufacturer wants to find out what types of product-related problems its customers are experiencing. the best method to gather the data is .
The correct answer from the drop-down menu is a survey, this is because the type of data you are interested in is more subjective and open-ended.
What is the survey method?To find out what types of product-related problems its customers are experiencing we need to investigate about the problems faced by customers by means of collecting data from a sample of population.
In this case, we have that a survey is a data collection of questions used to gather information about population.
See more about survey method at brainly.com/question/17373064
#SPJ4
Jesse needs to wrap the present shown below. How much wrapping paper would he need?
5 in
6 in
15 in
9 in
3 in
а
b
558 sq in
300 sq in
354 sq in
327 sq in
I need help please I have a picture of the problem down below.
Answer:
Step 1: Create a net for the triangular prism by "cutting" two edges of the triangular faces and unfolding.
Step 2: Find the area of each triangle. Find the area of the rectangle.
Step 3: Add all areas from step 2 together. This is the surface area.
Step-by-step explanation:
Please help!! Giving Brainleist!
Answer: 30
Step-by-step explanation:
Bc all the numbers are near 30
CAN I PLEASE HAVE BRAINLIEST ✨
can i have help with this please if you do it you're a lifesaver
Answer:
1, 2, 5, and 10
Step-by-step explanation:
Factors of 30 :
1, 2, 3, 5, 6, 10, 15, 30
Factors of 20 :
1, 2, 4, 5, 10, 20
what is a venn diagram?a venn diagram is an illustration that uses circles to show the relationship between things or group of things. Circles that overlap share the same traits (in this case numbers) and those that do not overlap dont share the same traits.What numbers go in the shaded overlap?
1, 2, 5, and 10
What is the answer to this
Answer:
193 m²
Step-by-step explanation:
Let us separate the figure into three parts:
One right angled triangle, square and rectangle.
right angle triangle having height(h) = (10+5+3)m = 18m
base of right angled triangle(b) = 25-(8+4)m = 13m
length of square(l) = 8m
length of rectangle (a) = 4m
breadth of rectangle (w) = 3m
[tex]total \: area \: of figure = area \: of \: triangle + area \: of \: square + area \: of \: rectangle[/tex]
[tex] = \: ( \frac{1}{2} \times b \: \times h ) \: + ({l}^{2} )\: + (a \: \times w)[/tex]
[tex] = (\frac{1}{2} \times 13 \times 18) + {8}^{2} + (4 \times 3)[/tex]
[tex] = 193 \: {m}^{2} [/tex]