Answer:
Step-by-step explanation:
the right answer is B. 91 2/3 Cubic units i got it right on my geometry test :)
PLEASE HELP will give brainiest if correct
Which quadratic equation is equivalent to (x+2)2+5(x+2)-6=0
What is the surface area of a square pyramid with a height of 12 mm and a base that measures 10 mm on each side? Round to the nearest tenth if necessary.
The surface area of the square pyramid is [tex]\(360 \, \text{mm}^2\)[/tex]
To calculate the surface area of a square pyramid, we need to find the area of its base and the area of its four triangular faces. Given the following:
The base side length [tex](\(s\))[/tex] is [tex]10\ mm[/tex].
The height of the pyramid [tex](\(h\))[/tex] is [tex]12 \ mm[/tex]
Step-by-Step Calculation:
1. Area of the base:
The base is a square with side length [tex]\(s = 10\) mm.[/tex]
[tex]\[\text{Area of the base} = s^2 = 10^2 = 100 \, \text{mm}^2\][/tex]
2. Slant height of the pyramid:
To find the slant height [tex](\(l\))[/tex], we need to use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle where one leg is half the side length of the base [tex](\(\frac{s}{2} = \frac{10}{2} = 5\) mm)[/tex] and the other leg is the height of the pyramid [tex](\(h = 12\) mm)[/tex].
[tex]\[l = \sqrt{\left(\frac{s}{2}\right)^2 + h^2} = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 \, \text{mm}\][/tex]
3 Area of the four triangular faces:
Each triangular face has a base of [tex]10\ mm[/tex] and a slant height of [tex]13 \ mm[/tex].
[tex]\[\text{Area of one triangular face} = \frac{1}{2} \times \text{base} \times \text{slant height} = \frac{1}{2} \times 10 \times 13 = 65 \, \text{mm}^2\][/tex]
Since there are four triangular faces:
[tex]\[\text{Total area of the four triangular faces} = 4 \times 65 = 260 \, \text{mm}^2\][/tex]
4. Total surface area:
The total surface area of the square pyramid is the sum of the area of the base and the area of the four triangular faces:
[tex]\[\text{Total surface area} = \text{Area of the base} + \text{Total area of the four triangular faces} = 100 + 260 = 360 \, \text{mm}^2\][/tex]
If I get 3 problems wrong on a 12 question math paper, what grade would I get?
If you got 3 questions wrong on a 12 problem math paper, to figure out how many you got right you must subtract the number you got incorrect (3) from the total number (12).
12-3=9
To figure out your grade, you have to divide how many you got correct (9-see above) by the total number of questions (12).
9/12 = 0.75
If you multiply this decimal by 100, you get the equivalent percentage of 75%.
Therefore, you would have gotten a 75% on the paper.
Hope this helps!
A summer camp manager wants to order 500 bag lunches for a field trip. Each lunch will have a piece of fruit. The manager is deciding on ordering apples, oranges, bananas, or plums. The camp manager surveys 50 random campers, and the results are given in this table.
Based on the results, which fruit should the manager order?
A- Apples
B- Oranges
C- Plums
D- Bananas
Please help:
In a right triangle ABC, tan(A) = 3/4. Find sin(A) and cos(A).
In a right triangle ABC with angle A equal to 90 degrees, find angle B and C so that sin(B) = cos(B).
Which group of values makes the expression 3x2y−2z UNDEFINED? A) x = –1; y = 0; z = 3 B) x = –1; y = 3; z = 0 C) x = 0; y = −1; z = 3 D) x = 0; y = 3; z = −1 E) x = –1; y = 2; z = 1
Answer:
The answer is A
Step-by-step explanation:
sadly i dont have the work of it just by looking it up you can get the answer tho. Answer is A
If Michael and imani add an 18% tip to the bill,what does their lunch cost in total
Answer:
X + (0.18 * X)
where X is the price of the bill without the tip
Step-by-step explanation:
The first thing you have to do is convert the percentage to a decimal value. For example, if it is 30%, its decimal value is 0.30. As simple as dividing that 300 by 100. Repeat the previous step with all the percentages you have to add.
In this case it is 18% therefore the decimal value will be 0.18. As we do not have the value of the account, we will call this value X .
Therefore the total price of the account, that is, with the addition of the tip is as follows:
X + 18% de X =
X + (0.18 + X)
Given that b=8,a=3,and b=65,find the measure of
A. 19.9 or 160.1
B.19.9
C160.1
D not a triangle
Answer: B. 19.9
Step-by-step explanation: Set up an equation where sin and the degree angle is in the numerator, and the side length is in the denominator.
Sin65/8 = Sinx/3
Plug Sin65 into your calculator and you will get 0.9063. Divide this number by 8.
0.9063/8 = 0.1133
Your equation is now 0.1133 = sinx/3
Multiply by 3 on each side.
0.3399 = sinx
Put sin on the left side. It will look like:
Sin^-1(0.3399) = x
Press enter on your calculator. You will get
X = 19.9.
jane's salary is increased by 2% to £39474. how much is her salary before the rise?
A bag of uninflated balloons contains 10 red, 12 blue, 15 yellow and 8 green balloons. A balloon is drawn at random, what is the probability of drawing a red balloon?
We have been given that a bag of uninflated balloons contains 10 red, 12 blue, 15 yellow and 8 green balloons.
We need to find the probability of drawing a red balloon.
We know that probability is given by
[tex]\\ \text{Probability =} \frac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Since we know that there are 10 red balloons. Therefore, our number of favorable outcomes is 10.
In order to find the total number of outcomes, we will add balloons of all colors.
Therefore, total outcomes are = [tex]10+12+15+8 = 45[/tex]
We can now substitute the values of favorable outcomes and total outcomes in order to find the required probability.
[tex]\\ \text{Probability =} \frac{\text{10}}{\text{45}} = \frac{2}{9}[/tex]
How do you write an equation for a circle with center (2,4) and passes through point (5, 9)?
The number of tropical fish that an aquarium can hold depends on the volume of the fish tank. the interior dimensions of the fish tank are 25 cm, 30 cm, and 39 cm. each fish requires 10,000 cubic centimeters of water. how many tropical fish will this fish tank hold?
At sea, the distance to the horizon is directly proportional to the square root of the elevation of the observer. if a person who is 36 feet above the water can see 7.4 miles, find how far a person 64 feet above the water can see.
The person 64 feet above the water can see 9.84 miles.
It is given in the question that the distance to the horizon is directly proportional to the square root of the elevation of the observer.
if the elevation of the observer be h and distance to the horizon be x then:
[tex]x=k\sqrt{h}[/tex] where k is the constant of proportionality
from the given data:
[tex]7.4= k\sqrt{36}\\\\7.4=6k\\\\k=1.23[/tex]
So, if h = 64 feet then,
[tex]x=k\sqrt{h}\\\\x=1.23\sqrt{64}\\\\x=9.84 miles[/tex] is how far the person 64 feet above the water can see.
Learn more:
https://brainly.com/question/16998607
What is the greatest common factor of 60x4y7, 45x5y5and 75x3y?
Answer:
15x^3·y
Step-by-step explanation:
The numbers 60, 45, 75 are all multiples of 15, so 15 is their greatest common factor.
The least power of the factor x is 3; the least power of the factor y is 1, so the GCF is ...
GCF = 15·x^3·y
How is the interquartile range calculated? HELP WITH APEX PLEASE!
By definition the interquartile range or IQR is obtained when the 25th percentile or [tex] Q_{1} [/tex] is subtracted from the 75th percentile or [tex] Q_{3} [/tex].
Thus, from the above definition, the formula for IQR is:
[tex] IQR=Q_{3}-Q_{1} [/tex]
As we can see from the provided options that the definition of IQR matches the expression provided in Option A and thus, Option A is the correct answer.
Quartile 3 (Q3) minus quartile 1 (Q1) is right for apex.
You have a bag of chocolate candy. Ten of them are red, 7 are brown, 12 are green, and 9 are blue. What is the probability that you pick a red candy, given that you have already picked a red candy and have not replaced it?
9/37 is the correct answer.
simplify: 10(6y+x)=4
Determine if the following data set follows a linear, quadratic, or exponential model. (0, 1), (1,3), (2, 9), (3, 19), (4, 33)
show your work
PLEASE SOMEONE HELP!
I think that it would be a linear model.
Answer:
Step-by-step explanation:
quadratic C
Use the following information to answer the next two questions
write a polynomial function of nth degree that has the given zeros
A polynomial function of nth degree with given zeros, use the form f(x) = a (x - x1)(x - x2)...(x - xn), which is [tex]f(x) = x^3 - 2x2 - 5x + 6[/tex]
To write a polynomial function of the nth degree with given zeros, you can use the fact that a polynomial function f(x) with zeros at x1, x2, ..., xn can be expressed as:
f(x) = a (x - x1)(x - x2)...(x - xn)
Where 'a' is the leading coefficient, which can be any non-zero real or complex number, and (x - xi) are factors for each zero of the polynomial. If the polynomial is supposed to have a specific coefficient for the highest power term, then 'a' is that coefficient; otherwise, 'a' can be chosen freely to define the polynomial.
To illustrate with an example, if we had a polynomial of degree 3 with zeros at 1, -2, and 3, and we want the leading coefficient to be 1, our polynomial would be:
f(x) = (x - 1)(x + 2)(x - 3)
Expanding this product, we would get:
[tex]f(x) = x^3 - 2x2 - 5x + 6[/tex]
This polynomial of third degree has the specified zeros and a leading coefficient of 1.
Urgent!! Need an answer ASAP!
Professor Scott has 84 students in his college mathematics lecture class. The scores on the midterm exam are normally distributed with a mean of 72.3 and a standard deviation of 8.9. How many students in the class can be expected to receive a score between 63.4 and 81.2? Express the answer to the nearest student.
Answer: 57
=====================================================
Explanation:
Convert each raw score to a z score
If x = 63.4, then
z = (x-mu)/sigma
z = (63.4-72.3)/8.9
z = -1
if x = 81.2, then
z = (x-mu)/sigma
z = (81.2-72.3)/8.9
z = 1
So P(63.4 < x < 81.2) is the same as P(-1 < z < 1)
Through the empirical rule (aka the 68-95-99.7 rule), we know that roughly 68% of the data values are within one standard deviation of the mean. In other words
P(-1 < z < 1) = 0.68 approximately (see note below)
Multiply 0.68 by the total 84 to get
0.68*84 = 57.12
which rounds to 57 people
Note: we can use a calculator to get a more accurate result of 0.68268949; a data table works as well but it won't be as accurate. For the purposes of this problem, the value 0.68 is good enough
Zack borrowed $1,087 for 12 months at 11 percent interest. If he must pay 11.00 per $100, what is Zack's monthly payment?
Doug can paint the living room in 4 hours. it would take elaine 6 hours to paint the same room. how long would it take doug and elaine, working together, to paint the living room?
Circle 1 is center at (-4,5) and has a radius of 2 centimeters. Circle 2 is centered at (2,1) and has a radius of 6 centimeters. What transformations can be applied to Circle 1 to prove the circles are similar?
Calculate the area of the shaded sector in square inches.
The sales tax in the city of Taxemalot is 8.1%. What is the growth factor for any item purchased at your local Tarmart? a.8.1 c.1.081 b.0.81 d.81
Which shapes have rotational symmetry that occurs at 180°?
Check all that apply.
regular octagon regular pentagon regular hexagon square right isosceles triangle
It should be regular octagon, regular hexagon, and square
The perimeter of a rectangular garden is 100 feet (ft). the area of the rectangular garden area is 600 ft2. find the length and width of the garden. let the length of the garden be the shorter side, of necessary.
The length of the garden is 20 feet and the width is 30 feet.
To solve this problem, we will use the formulas for the perimeter and area of a rectangle. The perimeter (P) of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width. The area (A) of a rectangle is given by the formula A = lw.
Given the perimeter of the garden is 100 feet, we can set up the following equation:
[tex]\[ 2(l + w) = 100 \][/tex]
[tex]\[ l + w = 50 \][/tex]
[tex]\[ w = 50 - l \][/tex]
This equation relates the length and width of the garden.
Next, we are given that the area of the garden is 600 square feet:
[tex]\[ lw = 600 \][/tex]
Substituting the expression for w from the first equation into the area equation, we get:
[tex]\[ l(50 - l) = 600 \][/tex]
[tex]\[ 50l - l^2 = 600 \][/tex]
Rearranging the terms, we have a quadratic equation:
[tex]\[ l^2 - 50l + 600 = 0 \][/tex]
To solve this quadratic equation, we can factor it:
[tex]\[ (l - 20)(l - 30) = 0 \][/tex]
This gives us two possible solutions for the length: l = 20 feet or l = 30 feet.
Since we are asked to let the length be the shorter side, if necessary, we choose the smaller value for the length:
[tex]\[ l = 20 \text{ feet} \][/tex]
Now we can find the width by substituting the length back into the equation for the perimeter:
[tex]\[ w = 50 - l \][/tex]
[tex]\[ w = 50 - 20 \][/tex]
[tex]\[ w = 30 \text{ feet} \][/tex]
Therefore, the length of the garden is 20 feet and the width is 30 feet.
What is the center of the circle with the equation (x-1)2 + (y-3)2= 9?