There are 60 different ways of choosing a meal for this wedding.
How many different ways of choosing a meal?There were five distinct main courses available for selection.
There are a total of 15 possible main dish and salad combinations when ordering these 5 distinct main meals together with any one of the 3 available salads.
A total of 60 distinct main dishes, salads, and dessert combinations are conceivable by ordering one of the four potential deserts for each of the 15 various main meals and salad combinations.
60 distinct main dishes might be purchased since.
There are 60 different ways of choosing a meal for this wedding
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A building with a height of 48 meter casts a shadow that is 30 meter long. A person standing next to the building casts shadow that is 0.8 meter long. How tall is the person
The height of the person is approximately 0.426 meters or 42.6 cm.
We can use the concept of similar triangles to solve this problem. The height of the building and the length of its shadow form a right triangle, with the height as the opposite side and the shadow as the hypotenuse. The person and their shadow also form a similar right triangle, with the height of the person as the opposite side and the shadow as the hypotenuse.
We can set up the following proportion:
(Height of building)/(length of shadow) = (height of person)/(length of shadow)
48/30 = h/0.8
Solving for h, we get:
h = (48/30) * 0.8 = 0.533 * 0.8 = 0.426
Therefore, the height of the person is approximately 0.426 meters or 42.6 cm.
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Devin drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed.
What is the approximate average fuel consumption rate, between the 100th kilometer and 400th kilometer?
Between the 100th and 400th kilometers, the average fuel consumption rate is 5/6 liters per kilometer.
What is the rate of change?A consequence of dividing the variation in a variable's function by the variation in the variable. For example The rate at which a distance changes in relation to time is known as velocity.
Given, Devin drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed.
Since in the domain [100, 400] graph shows somewhat linear properties.
from the graph Fuel consumption at 100 = 375 liters
Fuel consumption at 400 = 125 liters
rate in a linear function between two points = (y₂ - y₁)/ (x₂ - x₁)
thus rate between [100, 400] = (375-125)/400-100
rate between [100, 400] = 250/300
rate between [100, 400] = 5/6litere per kilometer
therefore, the average fuel consumption rate, between the 100th kilometer and 400th kilometer is 5/6 liters per kilometer.
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hey can I get some help thanks :)
What is the distance between the points X(-4,3) and Y(2, -7) rounded to the nearest tenth?
O 11.7 units
0 8.0 units
0 16.0 units
O 4.5 units
Answer:
I think the answer is 11.7 units rounded to nearest tenth
Step-by-step explanation:
d=(2−(−4))2+(−7−3)2−−−−−−−−−−−−−−−−−−−√
d=(6)2+(−10)2−−−−−−−−−−−√
d=36+100−−−−−−−√
d=1–√36
d=11.661904
Jim has a toolbox with a volume of 9,072 cubic inches. The height of the toolbox is 14 inches and the width of toolbox is 1 foot.
Answer: [tex]54\ in.[/tex]
Step-by-step explanation:
Given
The volume of the toolbox is [tex]9072\ in.^3[/tex]
The height of the toolbox is [tex]h=14\ in.[/tex]
The width of the toolbox is [tex]w=1\ ft\ or\ 12\ in.[/tex]
Suppose the length of the box is [tex]l[/tex]
The volume of the toolbox is given by [tex]V=l\times w\times h[/tex]
Insert the value to find the length
[tex]\Rightarrow 9072=14\times 12\times l\\\\\Rightarrow l=\dfrac{9072}{168}\\\\\Rightarrow l=54\ in.[/tex]
The length of the box is [tex]54\ in.[/tex]
Answer:
45
Step-by-step explanation:
what is -18 + (-45) + 12
Answer:
-51
Step-by-step explanation:
hope it helps you! good luck!
Simplifying algebraic expression
Answer:
-33
Step-by-step explanation:
Given algebraic expression:
[tex]5c-9c+3[/tex]
To simplify the given algebraic expression using c = 9, substitute the given value of "c" into the expression and solve:
[tex]\implies 5(9)-9(9)+3[/tex]
[tex]\implies 45-81+3[/tex]
[tex]\implies -36+3[/tex]
[tex]\implies -33[/tex]
Answer:
[tex] \sf \: 5c - 9c + 3 = - 33[/tex]
Step-by-step explanation:
Given information,
→ 5c - 9c + 3
→ where c = 9
Let's simplify the expression,
→ 5c - 9c + 3
→ 5(9) - 9(9) + 3
→ (5 × 9) - (9 × 9) + 3
→ 45 - 81 + 3
→ 45 - 78
→ -33 => final value
Hence, the final value is -33.
A circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 4 m wide. Find
the area of the sidewalk in square meters. Use 3.14 for Pi
The area of the sidewalk is ____ m2.
Answer:
17m2
i think it is a right answer
Area of the circular sidewalk around flowerbed is 314 m² .
What is area?Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.
Given,
Diameter of flowerbed = 21m
radius = diameter/2 = 21/2 = 10.5 m
Area of flower bed A
= πr²
= 3.14(10.5)²
= 3.14(110.5)
= 346.185 m²
width of the sidewalk = 4m
radius of flower bed with sidewalk = 10.5 + 4 = 14.5m
Area of flower bed with sidewalk A'
= 3.14(14.5)²
= 3.14(210.25)
= 660.185 m²
Area of the sidewalk
= A' - A
= 660.185 - 346.185
= 314 m²
Hence, 314 m² is area of the circular sidewalk around flowerbed.
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The ages of the players of the junior football team in years are 11,11,13,13,12,13,11,12,10,13 find the median age
Answer:
12
Step-by-step explanation:
11, 11, 13, 13, 12, 13, 11, 12, 10, 13
Put the numbers in ascending (increasing) order.
10, 11, 11, 11, 12, 12, 13, 13, 13, 13
If there is an odd number of numbers, the median is the number in the middle.
There are 10 numbers which is an even number of numbers.
For an even number of numbers, the median is the mean of te two middle numbers.
10, 11, 11, 11, 12, 12, 13, 13, 13, 13
The two middle numbers are 12 and 12.
The mean of 12 and 12 is (12 + 12)/2 = 12
Answer: 12
Use point-slope form to find the equation of the line with a slope of
[tex] - \frac{1}{2} [/tex]
Express your answer in slope-intercept form. that passes through the point (6,-4)?
Answer:
y = -1/2 x - 1
Step-by-step explanation:
The expression in point-slope form is expressed as;
y-y0 = m(x-x0)
(x0,y0) = (6, -4)
slope m = -1/2
Substitute into the formula
y-(-4) = -1/2(x-6)
y+4 = -1/2(x-6)
2(y+4) = -(x-6)
2y+8 = -x+6
2y = -x+6-8
2y = -x-2
y = -1/2 x -2/2
y = -1/2 x - 1
Hence the answer in slope-intercept form is y = -1/2 x - 1
i have to use factorisation in every one of these but im so stuck i dont remember anything. i hope someone could at least solve one of these. i have only the exercises that are noted
16 POINTS
Answer:
12.
V. E=(1-a)(1+a)(1+a^2)(1+a^4)(1+a^8)
Step-by-step explanation:
1-a^16=(1-a^8)(1+a^8)
1-a^8=(1-a^4)(1+a^4)
1-a^4=(1-a^2)(1+a^2)
1-a^2=(1-a)(1+a)
1-a^16=(1-a)(1+a)(1+a^2)(1+a^4)(1+a^8)
Find m.
Kindly help
Answer:
m=3.6
Step-by-step explanation:
What is a opposite of 7?
-7 is the opposite of 7.
Simply adding a negative sign yields the negative number 7, which is the opposite of the positive number 7. 7 and 7 are the opposites of one another since they are both seven units apart from 0 on the number line.
The inverse of a number is the number on the other side of the 0 number line and at the same distance from 0. Oppositely positioned numbers on the number line. The opposite of an integer is its additive inverse. As a result, on a number line, the opposite of a number is the number that is located in the other direction from 0 but at the same distance from it.
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How do u solve this?
Answer: [tex]3x^4 / 2y^4[/tex]
Step-by-step explanation: [tex](3x7x^6y^5)divide(2x7x^2y^9)[/tex] then [tex]x^6 divided by x^2 = x(^6 ^- ^2) = x^4[/tex] then
[tex]y^5 divided by y^9 = y(^5 ^- ^9) = y(^-^4) = 1/y^4[/tex] then
Canceling out 7 as it appears on both sides of the fraction line.
Hope this is clear and is helpful
What is the volume of a square pyramid that has a base lengthof 5" and a height of 9"__cubic inches
How do you find the slope of x =- 4?
The slope of x= -4 is unidentified.
The x= -4 is a vertical line and slope cannot be found.
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. [1] The letter m is frequently used to represent slope; the reason for this usage is unclear, although it may be found in O'Brien's (1844)[2] and Todhunter's (1888][3] formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.
The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute slope.
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Evaluate 8+\dfrac{w}48+
4
w
8, plus, start fraction, w, divided by, 4, end fraction when w=16w=16w, equals, 16
After evaluating the value of 8 + w/4 = 12.
In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.When performing calculations but unsure of the precise amount, algebra is used.
Equations come in two varieties which are identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.
as the details given,
the equation given is 8 + w/4
the value of w is 16
by placing the value of w in the given equation we get
=> 8 + 16/4
=> 8 + 4
=> 12
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Solve the expression below, when x = 8
(x - 4) + 12
Answer:
16
Step-by-step explanation:
Lets solve this step by step,
First we insert 8 in x's place:
(8 - 4) + 12
Now we solve:
8 - 4 = 4
(4) + 12
4 + 12 = 16
Answer: 16
Hope this Helps
Help meee!!!!!!!
Plssssss
Answer:
106.8
Step-by-step explanation:
72 × 2 = 34
34 × 3.14 or
[tex]\pi[/tex]
106.76 round to the nearest tenth
= 106.8
COME TO THIS QUESTION GIVES BRAINLIEST FOR FIRST GOOD ANSWER!
Can someone please explain this problem to me. It's only one probability problem for 30 points. Please no bad answers like I don't know, sorry I thought know, give me a moment, etc. No links please and please know what you are doing because sometimes Brainly decreases my grade instead of increases it. Thank you, correct answer gets brainliest!
Answer: 6 passwords
Step-by-step explanation:
please help me figure this out
Answer:
me mataste
Step-by-step explanation:
Please help☡☡
A drawing of a sailboat was made using a rectangle and two right triangles, as shown. ,6 cm 2 cm 3 cm 2.5 cm 12 cm What is the area of the drawing of the sailboat square centimeters? 15 cm2 30 cm2 45 cm2 60 cm2
Answer:
45cm2
Step-by-step explanation:
My teacher reveiwed this problem after the test :)
I need help with this,, will give brianliest and +15 points
Answer:
41x² - 27x + 27
Step-by-step explanation:
Perimeter of Rectangle:
= 2(20x²-12x+4) + 2(5x²-5x+15)
= 40x²-24x+8 + 10x²-10x+30
= 50x²-34x+38
Perimeter of Triangle:
= 6x²+6x+3x+3+3x²-2x+8
= 9x²+7x+11
Difference:
(50x²-9x²)+(-34x+7x)+(38-11)
= 41x² - 27x + 27
What is the smallest four-digit palindrome that is divisible by 4? (A palindrome is a number that reads the same forwards and backwards, like 61216.)
Answer:
1004 is the smallest four-digit palindrome that is divisible by 4.
What is the volume of the prism?
10 cubic inches
20 cubic inches
40 cubic inches
80 cubic inches
Answer:
20 cubic inches
Step-by-step explanation:
[tex]1 * 4 * 5 = 20[/tex]
Solve for x.
A) 0.9
B) 160
C) 10
D) 1.1
Answer:
C .10
Step-by-step explanation:
what is −809 in radians? I tried -809pi/180 but it was marked incorrect
Answer:
-14.120 Radians
Step-by-step explanation:
To convert, use this angle degrees to radians formula:
Radians = Degrees x ( Pi / 180)
Try using this formula
Complete the following:
Write a number less than 40 that has at least six factors.
List at least six factors of the number you choose.
During the afternoon, an 18-foot tall tree casts a
shadow 25 feet long.
What is the approximate angle of elevation from the
end of the shadow to the top of the tree with respect
to the ground?
Using the slope concept, it is found that the approximate angle of elevation from the end of the shadow to the top of the tree with respect to the ground is of 35.75º.
What is a slope?The slope is given by the vertical change divided by the horizontal change.
It's also the tangent of the angle of depression.
In this problem, the vertical change is the height of the tree, of 18 feet, while the shadow of 25 feet is the horizontal change, hence:
[tex]\tan^{\theta} = \frac{18}{25}[/tex]
[tex]\theta = \tan^{-1}{\frac{18}{25}}[/tex]
[tex]\theta = 35.75[/tex]
The approximate angle of elevation from the end of the shadow to the top of the tree with respect to the ground is of 35.75º.
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whats the answer? someone please tell me i need help
Answer:
x° = 48°
Step-by-step explanation:
In order to solve this, we need to know that the sum of all inner angles of the triangle is equal to 180°. Based on this diagram we know that...
180° = 90° + 42° + x°
From here we know that...
x° = 180° - 90° - 42°
x° = 48°
A dumpster is shaped like a rectangular prism. It has a width of 8 feet, a height of 5 feet, and a volume of 880 cubic feet. What is the length of the dumpster