I need help on finding the height of a triangular pyramidif there’s no work, I don’t get credit
I will give Brainliest
Answers
Answer:
20 in
Step-by-step explanation:
The formula for the volume of a triangular pyramid is V=1/3 x B x H, in which B is the area of the base and H is the height. You're given the volume and area of the base so you can just plug that into the formula. You will get 120 = 1/3 x 18 x H. You can multiply the 1/3 and 18 so you will get 120 = 6H. In this case, you are solving for H so you need to isolate the variable. You can do this by dividing both sides by 6. You will end up eith 20 = H.
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1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a? 2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)? 3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g? 4. If f(x) is a polynomial, is f(x^2) also a polynomial 5. Consider the polynomial function g(x) = x^4-3x^2+9 a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial
Answers
The map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.
What is triangle ?
A triangle is a closed two-dimensional figure with three straight sides and three angles. The sum of the angles in a triangle is always 180 degrees. The three sides can be of different lengths, and the three angles can also be of different measures. Triangles are important geometric shapes and are used in many fields, such as mathematics, engineering, and architecture.
To determine which transformation maps triangle ABC to a similar but not congruent triangle, we need to understand the characteristics of similarity and congruence in triangles.
Two triangles are congruent if they have the same shape and size, and their corresponding sides and angles are equal. Two triangles are similar if they have the same shape, but not necessarily the same size, and their corresponding angles are equal.
In the given answer choices, the transformation (x, y) -> (- y, - x) is a reflection over the line y = x, which means it reverses the position of x and y coordinates. This transformation does not preserve the angles of the triangle, and therefore does not result in a similar triangle.
The transformation (x, y) -> (-4x, -4y) is a dilation with a scale factor of 4, which means it increases the size of the triangle by a factor of 4. This transformation preserves the angles of the triangle, and therefore results in a similar triangle that is also congruent.
The transformation (x, y) -> (x + 2, - y - 2) is a translation that moves the triangle 2 units to the right and 2 units down. This transformation preserves the angles of the triangle, and therefore results in a similar triangle.
The transformation (x, y) -> (-y + 2, x + 2) is a rotation of 90 degrees counterclockwise around the point (2, -2). This transformation preserves the angles of the triangle, and therefore results in a similar triangle.
Therefore, the map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.
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Answers
Answer:
8.84444444444
Step-by-step explanation:
Answer:
the answered would be 8.8444444
Answers
a.The expression for temperature change in City A is 9 + (-8)
b.The amount the temperature changes for City A = 1°F
c.The expression for temperature change in City B is -1 + (-3) = -4°F
d.The amount the temperature changes for City B = -4°F
What is temperature?
The degree of hotness or coldness of an object is called as temperature.
Now it is given that,
In City A,
rise in temperature from 8 am to 9 am = 9°F
drop in temperature from 9 am to 10 am = 8°F
In City B,
drop in temperature from 8 am to 9 am = 1°F
drop in temperature from 9 am to 10 am = 3°F
a.The expression for temperature change in City A
rise in temperature = +9°F
drop in temperature = -8°F
∴the expression for change in temperature for City A = 9 + (-8)
b.The amount the temperature changes for City A = 9 + (-8)= 1°F
c.The expression for temperature change in City B
drop in temperature = -1°F
drop in temperature = -3°F
∴the expression for change in temperature for City A = -1 + (-3)
d.The amount the temperature changes for City B = -1 + (-3)= -4°F
Hence,the required answers are,
a.The expression for temperature change in City A is 9 + (-8)
b.The amount the temperature changes for City A = 1°F
c.The expression for temperature change in City B is -1 + (-3) = -4°F
d.The amount the temperature changes for City B = -4°F
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Answers
Answers
Answer:
-4
Step-by-step explanation:
If you multiply out the square, you can see ...
(x +p)^2 = q
x^2 +2px +p^2 = q
The coefficient of the x-term is 2p, so ...
2p = -8
p = -8/2 = -4
Answers
Final answer:
The cost to install a swimming pool as a function of its area can be modeled by the linear equation y = 35x + 15,000, where y is the cost and x is the area in square feet. The cost increases by $35 per extra square foot of area.
Explanation:
The first step in modelling this scenario is to identify the slope of the linear relationship between the pool's area and its cost. The slope can be determined using the formula:
m = (y2 - y1) / (x2 - x1)
Where:
Applying these numbers to the formula gives a slope (m) equal to $35 per square foot.
Next, we can determine the y-intercept (b) of the equation by substituting one of the points and the calculated m into the equation y = mx + b:
$50,000 = $35 * 1000 + b, solving for b gives b = $15,000.
Therefore, the linear equation that models this situation is y = 35x + 15,000. The graph of this equation is a straight line that starts at (0, 15,000) and increases with a slope of 35. Every increase in pool area of 1 square foot increases the cost by $35.
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Answer:
$35,000
Step-by-step explanation:
if $50,000 is to install an area of 1,000 square feet swimming pool and $35,000 can be used to install an 800 square foot swimming pool I think the best graph model is 800 square feet for $35,000 for a cost cut of $15,000 is a good bargain