Answer:
1303.45 cm
Step-by-step explanation:
The triangles formed by a rod and its shadow and a tree and its shadow are similar triangles, so the ratios of their heights to the lengths of their shadows are equal.
Let x be the height of the tree. Setting the ratios equal, we get:
180/116 = x/840
Solve for x:
x = 840 * (180/116)
x ≈ 1303.45 cm
Find the degree of the monomial.
-1.75k2
Answer:
The degree of this monomial is 2.
Step-by-step explanation:
This is because the degree of a monomial (or a polynomial, binomial) is equal to the degree (exponent) of the term in the monomial. In polynomials, it would be the degree of the term with the HIGHEST degree.
-1.75k^2
The exponent is two, so the degree is two.
Hope this helped!!!
30 term of AP 1,7,4 is
Correct Question
30th term of AP 10, 7, 4 is
Answer:
The 30th term is -77
Step-by-step explanation:
Required
Determine the 30th term of the given progression
First, we need to determine the common difference (d);
[tex]d = T_2 - T_1[/tex]
[tex]d = 7 - 10[/tex]
[tex]d = -3[/tex]
The nth term of an AP is calculated by
[tex]T_n = a+ (n -1) d[/tex]
In this case;
n = 30;
a = First term = 10
d = -2
Substitute these values in the given formula
[tex]T_{30} = 10+ (30 -1) * -3[/tex]
[tex]T_{30} = 10+ (29) * -3[/tex]
Open the bracket
[tex]T_{30} = 10-87[/tex]
[tex]T_{30} = -77[/tex]
Hence, the 30th term is -77
the market Price of led tv is rs 25000 how much should is customer pay to buy it is 13 percentage vat is levied after 10 percent discounts
Answer:
hii
Step-by-step explanation:
how are you hope you are fine
Answer:
[tex] \boxed{ \huge{ \bold{ \sf{\boxed{ \: Rs \: 25425}}}}}[/tex]Step-by-step explanation:
Given,
Marked Price ( MP ) = Rs 25000
Vat percent = 13 %
Discount percent = 10 %
▪️Finding the discount amount
Discount amount = Discount % of MP
= 10 % of 25000
= Rs 2500
▪️Finding the Selling price
Selling price ( SP ) = MP - Discount amount
= Rs 25000 - Rs 2500
= Rs 22500
▪️Finding the Vat amount
Vat amount = Vat % of SP
= 13 % of 22500
= Rs 2925
▪️Finding the SP with VAT
SP with vat = SP + Vat amount
= Rs 22500 + Rs 2925
= Rs 25425
Hope I helped !
Best regards!!
What is the area, in square inches, of the isosceles trapezoid below?
17.9 in
18 in
8.3 in
Answer:
104.8 in^2
Step-by-step explanation:
There are 2 ways to solve this problem.
The 1st way:
Let's make 2 triangles and 1 rectangle:
Rectangle Length = 8.3
Rectangle Width = 8
So, the left out length will be 17.9 - 8.3
=> 9.6
Since, 9.6 cm is for 2 parts.
=> 9.6 / 2
=> 4.8
So, Height of the Triangle = 8
Base of the triangle = 4.8
Area of a rectangle
=> 8.3 x 8
=> 66.4
Area of the triangle
=> 1/2 x 8 x 4.8
=> 4 x 4.8
=> 19.2
There are 2 triangles:
=> 19.2 x 2
=> 38.4
=> 66.4 + 38.4
=> 104.8
The area of the trapezoid = 104.8 in^2.
The 2nd way is:
Area of a trapezoid
=> Smaller Base + Larger Base / 2 x Height
=> 8.3 + 17.9 / 2 x 8
=> 26.2 / 2 x 8
=> 13.1 x 8
=> 104.8
The area of the trapezoid is 104.8 in^2
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $ 3.25 $3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $ 30 $30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 4 44 pancakes for $ 5.50 $5.50dollar sign, 5, point, 50. Let S SS represent the number of stacks of pancakes that Benjamin buys. 1) Which inequality describes this scenario? Choose 1 answer: Choose 1 answer: (Choice A) A 3.25 + S ≤ 30 3.25+S≤303, point, 25, plus, S, is less than or equal to, 30 (Choice B) B 3.25 + S ≥ 30 3.25+S≥303, point, 25, plus, S, is greater than or equal to, 30 (Choice C) C 3.25 + 5.50 S ≤ 30 3.25+5.50S≤303, point, 25, plus, 5, point, 50, S, is less than or equal to, 30 (Choice D) D 3.25 + 5.50 S ≥ 30 3.25+5.50S≥303, point, 25, plus, 5, point, 50, S, is greater than or equal to, 30 2) What is the largest number of pancakes that Benjamin can afford? pancakes Show Calculator
Answer:
The correct option is;
C. 3.25 + 5.50·S ≤ 30
Step-by-step explanation:
The given parameters are;
The cost of the chocolate milk ordered = $3.25
The unit quantity of pancake sales = Stack
The number of pancakes in a stack = 4
The amount a stack of four pancakes is sold = $5.50
The number of pancakes Benjamin wants to buy = As many as he can
The number of stacks of pancakes Benjamin buys = S
The cost of the pancakes Benjamin buys = $5.5 × S
The cost of the number of pancakes Benjamin buys
The maximum amount Benjamin wants his bill to amount to = $30
Therefore we have;
The cost of chocolate milk ordered + The cost of pancakes Benjamin buys ≤ $30
Which gives;
$3.25 + $5.50 × S ≤ $30
Therefore, the correct option is 3.25 + 5.50·S ≤ 30.
Which relation is a function?
{(3, 2), (4, 5), (6, 8), (7,5)}
B. {(3, 2), (4, 5), (7,-3), (7, -2)}
C. {(1, 4), (2, 5), (4, 7), (1, 9)}
D. {(2, 3), (5, 4), (2, -3), (0, -1)}
Answer:
A {(3,2), (4,5), (6,8),(7,5)}
7. 3x +1 =5x simplified
Step-by-step explanation:
3x + 1 = 5x
Bringing like terms on one side
1 = 5x - 3x
1 = 2x
1/2 = x
Answer:
x = 1/2
Step-by-step explanation:
Step 1: Write out equation
3x + 1 = 5x
Step 2: Subtract 3x on both sides
1 = 2x
Step 3: Divide both sides by 2
x = 1/2
evaluate 4(x+5)(x+1) over (x+3)(x-3) for x=5
Answer:
The answer is 15
Step-by-step explanation:
[tex] \frac{4(x + 5)(x + 1)}{(x + 3)(x - 3)} [/tex]For x = 5 substitute the value of x that's 5 into the expression
We have
[tex] \frac{4(5 + 5)(5 + 1)}{(5 + 3)(5 - 3)} \\ = \frac{4(10)(6)}{8(2)} \\ = \frac{4(60)}{16} \\ \\ = \frac{240}{16} [/tex]We have the final answer as
15Hope this helps you
f(x) = 5-3x find f(2)
Answer:
f(x) = -1
Step-by-step explanation:
f(x) = 5-3x
Put x = 2
f(x) = 5-3(2)
f(x) = 5-6
f(x) = -1
Answer:-1
Step-by-step explanation:
f(2)=5-3(2)
f(2)=5-6
f(2)=-1
uses of water who to right this essay
Step-by-step explanation:
Water makes up more than half of our body weight. Without water, all organisms in the world would die. Water is necessary not only for drinking but also for our day to day life purposes like bathing, cooking, cleaning, and washing and so on. We cannot imagine a life without water.
On a highway a wreck occurred and caused an 8 mile traffic jam on one side of the road. The average car is 14.5 feet in length, the average truck is 21 feet in length, and the average 18 wheeler tractor trailer is 73 feet in length. 70% of the traffic jam consists of cars, 20% trucks, and 10% 18 wheeler tractor trailers. If the average distance between vehicles is 4 feet, how many vehicles are stuck in the traffic jam?
Answer:
1647
Step-by-step explanation:
Given the following information:
Length of traffic = 8 miles
Average Length of vehicles on the road :
Cars = 14.5 feets
Trucks = 21 feets
18 Wheeler tractor = 73 Feets
% distribution of the different vehicles :
Cars = 70% = 0.7
Trucks = 20% = 0.2
18 wheeler tractor = 10% = 0.1
Distance between vehicles = 4feets
Number of vehicles stuck in the traffic :
Let number of vehicles = v
Summation of (number of vehicles * length of each vehicle) + distance between each vehicle = Length of traffic
Total distance between each vehicle = 4(v-1)
(0.7v * 14.5) + (0.2v * 21) + (0.1v * 73) + 4(v - 1) = 8 miles
1 mile = 5280
8 miles = (5280 * 8) = 42,240
10.15v + 4.2v + 7.3v + 4v - 4 = 42240
25.65v = 42240 + 4
25.65v = 42244
v =42244 / 25.65
v = 1646.939
v = 1647.
The density of a certain material is such that it weighs 46 grams for every 9 fluid ounces of volume. Express this density in ounces per liter. Round your answer to the nearest hundredth.
Answer:
The density of the material is approximately 6.79 ounces per litre
Step-by-step explanation:
We note that 1 fluid ounce = 26.5735 mililiter
The mass of the material for every 9 fluid ounces of volume = 46 grams
Therefore, the density of the material is given as follows;
Density = Mass/Volume = 46 grams/(9 × 26.5735 mililiter)
Density = 46 grams/(239.1615 mililiter)
1 gram = 0.035274 ounces
46 grams = 46 × 0.035274 ounces = 1.622602 ounces
1 mililiter = 0.001 litre
239.1615 mililiter = 0.2391615 litre
The density in ounces per liter is therefore;
Therefore;
The density of the material = 46 grams/(239.1615 mililiter) = 1.622602 ounces/0.2391615 litre
The density of the material ≈ 6.785 ounces/litre which is 6.79 ounces/litre to the nearest hundredth.
Answer: the correct answer is 6.10 ounces per liter
Step-by-step explanation:
Twelve less than the product of three and a number is less than 21.
the answer is 11
11x3= 33
33-12=21
Please help! I need the details for the transformations.
Answer:
its flipped over the y axis and then it goes 6 to the right and 6 up. To find how they are congruent, just use Pythagorean theorem to find the side lengths for each side and say that by using the rule SSS or side side side you know that the triangles are the same.
Step-by-step explanation:
to find the side length with Pythagorean theorem for example for side DE, side DE is basically the hypotenuse of the triangle to just count the height and base using the graph and in this case it would be h=6 b=3 and then use the Pythagorean theorem to find the actual side length of the line, which would be √45.
I need help with with pre calculus
Answer:
the last answer is correct
Step-by-step explanation:
(a, b) to (b, a)
Help!!!!!!!!!!!!!!!!!!!!
======================================================
Explanation:
Solve each inequality for x
[tex]5x \ge 20[/tex] solves to [tex]x \ge 4[/tex] after dividing both sides by 5
[tex]x+14 < 16[/tex] solves to [tex]x < 2[/tex] after subtracting 14 from both sides
The original system solves to [tex]x \ge 4 \ \text{ or } \ x < 2[/tex] which is the same as [tex]x < 2 \ \text{ or } \ x \ge 4[/tex]
So x is either less than 2, equal to 4, or larger than 4.
The graph that fits the description above is Choice B. We have an open hole at x = 2 to show we don't include this value. In contrast, there's a filled in hole or closed circle at x = 4 to include this value. The blue shaded region is the set of all possible x values, so we shade to the left of x = 2 and to the right of x = 4.
----------------------
Side note: I don't know why your teacher thought it was a good idea to make the answer choice tiles be larger than the actual problem itself. It should be the other way around. Though to be fair, it's probably a design choice that your teacher wasn't involved in.
10y + 9x = -9
10y + 5x= -5
x=
y=
Answer: x=-1 and y=0 .
Step-by-step explanation:
The given linear equations:
[tex]10y + 9x = -9\ ...(i)\\\\10y + 5x= -5\ ...(ii)[/tex]
Subtract (ii) from (i) , we get
[tex]10y+9x-(10y+5x)=-9-(-5)\\\\\Rightarrow\ 10y+9x-10y-5x=-9+5\\\\\Rightarrow\ 4x=-4\\\\\Rightarrow\ x=-1[/tex]
Put value of x in (i), we get
[tex]10y+9(-1)=-9\\\\\Rightarrow\ 10y-9=-9\\\\\Rightarrow\ 10y=-9+9=0\\\\\Rightarrow\ y=0[/tex]
Hence, x=-1 and y=0 .
It is important to re-evaluate financial goals periodically. In which of the following situations would it be necessary to change an existing financial goal?
Answer: A Edge
You fell sharply behind your expected schedule with regard to saving
Look your test
Step-by-step explanation:
Arrange four 3's to produce 18.
What is the answer
Answer: 3*3 + 3*3 = 9 + 9 = 18
You would use trial and error for this type of problem. Often parenthesis are involved to change the order of operations, but no parenthesis are needed here.
create your own scenario for 14x+12y then suggest values for the variables and solve.
Answer:
For a bake sale, addison sells 14 cupcakes for 1.50 dollars each, charli sells 12 cupcakes for 2.00 dollars each. How much money did they make together?
14(1.50)+12(2.00)
21+24= 45
They make 45 dollars together
Step-by-step explanation:
There are 20 balls in a bag. Ten of the balls are red, 4 are green, and the rest are yellow. Which ratio represents the number of yellow balls to red balls?
Answer:
6:10 is the ratio
Step-by-step explanation:
hope this helps
What is the median, 35,27,51,31,28,19,33
Answer:
26 should be the median
Step-by-step explanation:
is what I got
X/8 - 1/2 = 6 its really hard and my teacher and I never went over it
Answer:
X = 52
Step-by-step explanation:
X / 8 - 1 / 2 = 6
X / 2³ - 1 / 2 = 6
X + 4( -1) / 2³ = 6
X - 4 = 48
X = 48 + 4
X = 52
Find the area the sector.
Answer:
34π/3 (= 11.3 π ) mi²
Step-by-step explanation:
(see attached for reference)
area of sector is given by:
A = (θ/360) π r²
where
θ = angle of sector (given as 255°)
r = radius (given as 4 miles)
substituting the known values into the formula:
A = (θ/360) π r²
A = (255/360) π (4)²
A = (255/360) π (16)
A = 34π/3 mi²
A = 11.3 π mi²
edit: expressed answer in improper fraction form to match answer choices.
Given that g(4)=9 and g(-11)=k, find the value of k that would result in a slope of 5 between the two points.
Answer:
[tex]k=-66[/tex]
Step-by-step explanation:
So we are given two values:
[tex]g(4)=9 \text{ and } g(-11)=k[/tex]
They can be interpreted as: (4,9) and (-11,k).
So, we want to find the value of k such that the slope of the line between the two points would be 5.
Recall the slope formula. It is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (4,9) be x₁ and y₁ and let (-11,k) be x₂ and y₂. Substitute 5 for m. Therefore:
[tex]5=\frac{k-9}{-11-4}[/tex]
Simplify the denominator:
[tex]5=\frac{k-9}{-15}[/tex]
Multiply both sides by -15. The right side cancels:
[tex]-15(5)=(-15)\frac{k-9}{-15}\\ -75=k-9[/tex]
Now, add 9 to both sides. The right side cancels.
[tex](-75)+9=(k-9)+9\\k=-66[/tex]
Therefore, k is -66.
Can someone please give me the answer?
================================================
Work Shown:
15n+30 = 75
15n+30-30 = 75-30 ... subtract 30 from both sides
15n = 45
15n/15 = 45/15 .... divide both sides by 15
n = 3
Complete the division
The quotient is 3x2
+
IX +
DONE
1 of 10
Answer:
6
Step-by-step explanation:
Answer:
Complete the division.
The quotient is 3x2 +
-2
x +
5
.
Step-by-step explanation:
edg 2020
solve -10=4x show work please :D
Answer:
-2.5 = x
Step-by-step explanation:
-10 = 4x
the equation between 4 and x is multiplication
as our goal is to move the x on its separate side, we should divide each side by 4 to get rid of the bond between the 4 and the x
Therefore,
-10 = 4x
-10/4 = x
Simplify into decimal if needed
-2.5 = x
Hope that helped!!! k
Answer:
[tex]\Large \boxed{{x =- \frac{5}{2} }}[/tex]
Step-by-step explanation:
We need to isolate the [tex]x[/tex] variable on one side of the equation to find the value of [tex]x[/tex] that makes the equation true.
[tex]-10=4x[/tex]
Divide both sides of the equation by 4.
[tex]\displaystyle \frac{-10}{4} =\frac{4x}{4}[/tex]
Simplify the equation.
[tex]\displaystyle \frac{-5}{2} =x[/tex]
A 12" diameter ball rolls around inside the bottom of a rectanglar bow that is 14" wide and 30" long.The ball always touches the side of the box. Make a sketch of the ball in several positions. What is the shape of the path of the center of the ball? How ling is the path?
Answer:
1. Shape of line drawn by round ball is: Rectangle
2. Length of path round ball creates is: 64 inches
Step-by-step explanation:
The perimeter of the box is 30+30+14+14 = 88 inches.
We find a rectangle path of the round ball to be interior rectangle shape and measures 64 inches.
The shape of the path is rectangle, this is because when the balls direction from horizontal to vertical is drawn from the central line to the ball - the ball still rotates but such central line stays stationary in a straight line at same distance from edge as it changes direction so therefore it stays perpendicular and creates a rectangle shape. Only an oval ball would draw a line of oval shape due to its central line curving against the perpendicular edge of the rectangle. The round ball cannot create a square shape as the sides of the rectangle when reduced by 6'' + 6'' either side of length 30 = 18 inches and is still longer than the shorter sides of the box being 14'' which becomes 14- 6=8 inches to each side.
2. To find the path length- we look for the difference in width of the central ball first which is 12'' divided by 2 = 12/2 = 6 = 6 inches. We can then deduct this from 14'' and from 30'' then multiply by 2.
Width of one side = 14-6 = 8
= 8 inches
Length of one side = 30-6 = 24
= 24 inches
We add together 8+24 = 32, and then multiply by 2
32 *2 = 64
Maximum variation sampling is: Multiple Choice the number of times a researcher will ask an individual to participate in a research project. based on informational redundancy; a researcher seeks participants until the data received are the same as previously collected data. a form of probability sampling. the degree to which the sample varies from the population on important characteristics. the number of variables included in the research design.
Answer:
the degree to which the sample varies from the population on important characteristics.
Step-by-step explanation:
Maximum variation sampling is a sampling method in which the sample is made up of extremes. The sample is usually chosen in such a way that reflects a wide degree of diversity in a population.
Maximum variation sampling is used;
When the purpose is to understand the view of diverse groups of people on a particular topic.
When the researcher doesn't know much about the population
When the researcher wants the responses to be as diverse as possible.