Answer:
maybe you add then all up
What is the surface area of the pyramid
224ft
460ft
112 ft
336ft
The surface area of the pyramid is 160ft^2
Explanation:To find the surface area of a pyramid, we need to calculate the sum of the areas of all its faces. A pyramid has 4 triangular faces and 1 square base. The formula for the surface area of a pyramid is: Surface Area = Base Area + (0.5 × Perimeter of Base × Slant Height). In this case, the base side of the pyramid is 8ft and the slant height is 6ft.
First, we calculate the perimeter of the square base, which is 4 times the length of the base side: Perimeter = 4 × 8ft = 32ft.
The base area of the pyramid is found by squaring the length of one side of the base: Base Area = (8ft)^2 = 64ft^2.
Now we can substitute the values into the formula: Surface Area = 64ft^2 + (0.5 × 32ft × 6ft) = 64ft^2 + 96ft^2 = 160ft^2.
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The surface area of a pyramid with an 8 ft side length and a 10 ft slant height is 224 square ft. Hence, option A is correct.
To find the surface area of a pyramid with a square base, we need to calculate both the base area and the lateral surface area.
The side length of the square base is 8 ft, so the base area is:
Base Area = side × side = 8 ft × 8 ft = 64 square ftThe slant height of the pyramid is 10 ft, and the side length of the base is 8 ft. Each triangular face of the pyramid has a height (slant height) and base equal to the side of the square base. The area of one triangular face is:
Area of one triangle = 1/2 × base × slant height = 1/2 × 8 ft × 10 ft = 40 square ftSince a square-based pyramid has 4 triangular faces, the total lateral surface area is:
Lateral Surface Area = 4 × Area of one triangle = 4 × 40 square ft = 160 square ftAdding the base area and the lateral surface area gives the total surface area:
Total Surface Area = Base Area + Lateral Surface Area = 64 square ft + 160 square ft = 224 square ftTherefore, the total surface area of the pyramid is (Option A) 224 square ft.
Complete Question:
What is the surface area of the pyramid with slant height 10 ft and base 8 ft ?
A. 224ft
B. 460ft
C. 112 ft
D. 336ft
What is the area of triangle PQR? Round to the nearest tenth of a square unit
Answer:
b
Step-by-step explanation:
Answer:13.5 A
Step-by-step explanation:
edge
match each complex number with its equivalent expression
i^223 = -i
i^82 = -1
i^113 = i
i^48 = 1
Match each complex number with its equivalent by using the complex plane, polar coordinates, complex conjugates, and Euler's equation.
Explanation:Matching each complex number with its equivalent expression involves understanding the complex plane, complex conjugates, and Euler's formula. A complex number z is represented by z = a + ib, where a is the real part and b is the imaginary part. Converting this to polar form involves finding the magnitude r and the angle θ, where r = (a² + b²)½ and θ = tan⁻¹(b/a). Euler's formula, z = r exp(iθ), can be used to express the complex number in terms of its magnitude and angle: z = r cos(θ) + ir sin(θ). The complex conjugate of z is z* = a - ib, and it is found by changing the sign of the imaginary part.
Arnoldo needs to write this system in slope-intercept form. Which shows how he could do that? 3x-2y=6 0.4(2oy+15)=x
Answer with explanation:
→The equation of line which we have to write in slope intercept form is:
3 x -2 y=6
The equation of line in slope Intercept form is given as:
y = m x +c
Where, m=Slope of line
c=Y- intercept
Slope Intercept form of line can be as follows :
[tex]\Rightarrow 3 x-2 y=6\\\\\Rightarrow \text{Adding 2y on both sides}\\\\\Rightarrow 3 x-2 y+2 y=2 y+6\\\\\Rightarrow 3 x= 2 y+6\\\\\text{Dividing both sides by 3}\\\\\Rightarrow x=\frac{2y}{3}+\frac{6}{3}\\\\\Rightarrow x=\frac{2y}{3}+2[/tex]
Answer:
y = three-halves x minus 3
y = one-eighth x minus three-fourths
Step-by-step explanation:
Hurry help quick please!
Look at the figure. Find the value of x.
Step-by-step explanation:
5x-30=3x
5x-3x=30
2x=30
Divide by 2 for 2x and 30
x=15
Check answer subsituition method:
5x-30=3x
5(15)-30=3(15)
75-30=45
45=45
Answer: x=15 ( choice 3)
1. What ratio is equal to pi?
Answer:
355/113
Step-by-step explanation:
But as you can see, 22/7 is not exactly right. In fact π is not equal to the ratio of any two numbers, which makes it an irrational number. A really good approximation, better than 1 part in 10 million, is: 355/113 = 3.1415929...
Answer: A really good approximation, better than 1 part in 10 million, is: 355/113 = 3.1415929...
Step-by-step explanation: As you can see, 22/7 is not exactly right. In fact π is not equal to the ratio of any two numbers, which makes it an irrational number. So, therefore, the ratio that is equal to pi is 355/113 = 3.1415929...
in this diagram below de is parallel to xy.what is the value of y
Answer:
B. 75°
Step-by-step explanation:
When lines that are parallel are crossed by a transversal , angles in matching corners are equal and called corresponding angles
To get the value of the angle;
180°-105°= 75°.................sum of angles on a straight line
This angle corresponds to angle y because of the parallel lines DE and XY
Consecutive angles in a parallelogram are?
Hello There!
Consecutive Angles In Parallelograms Are "Supplementary"
"Supplementary Angles" Are Angles That Have A Sum of 180 Degrees
Answer:
Step-by-step explanation:
Are "Supplementary
what is the solution of x-4 +5=2
[tex]
x-4+5=2 \\
x+5=6 \\
\boxed{x=1}
[/tex]
Hope this helps.
r3t40
Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10
Answer: C. would be your option
Step-by-step explanation:
Answer:
3x – 5 < –10 or 3x – 5 > 10
Answer choice C on Edge
-1 3/5 divided by (-2/3)
thx
Answer:iuhihi
Step-by-step explanation:
nvjfuy
A machine caps bottle at the rate of 140 bottles per minute. How long would it take the machine to cap 200 bottles?
Answer:
1 minute and about 26 seconds
Can you mark me the brainliest??
PLEASE HELP ME!!!!
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
Which of the following options is closest to the distance (in miles) between points A and B?
2.24 miles
2.65 miles
3.74 miles
5.29 miles
Answer:
AB² = VAC²-BC²
= V8²-6²
= V64-36 = V28
AB = V7×4 = 2V7 = 5.29
What is the probability of flipping a coin 75 times and getting tails 40 times or fewer? Round your answer to the nearest tenth of a percent.
A. 5.3%
B. 99.7%
C. 32.2%
D. 75.6%
Answer:D
Step-by-step explanation:
Factor 3k^2+13k-56.
Answer:
(k + 7)(3k - 8)
Step-by-step explanation:
To factor the quadratic
Consider the factors of the product of the k² term and the constant term which sum to give the coefficient of the k- term
product = 3 × - 56 = - 168 and sum = + 13
The factors are + 21 and - 8
Use these factors to split the k- term
3k² + 21k - 8k - 56 ( factor the first/second and third/fourth terms )
= 3k(k + 7) - 8(k + 7) ← factor out (k + 7)
= (k + 7)(3k - 8)
What is the radius of a circle with an area of 50.24 square inches?
Use 3.14 for pi.
Enter your answer in the box.
Answer:
4
Step-by-step explanation:
Let f(x)=x^2+x−42 . Enter the x-intercepts of the quadratic function in the boxes. x = and x =
We simply have to solve a quadratic equation [tex]ax^2+bx+c=0[/tex] using the quadratic formula
[tex]x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In your case, [tex]a=b=1,\ c=-42[/tex]. So, the formula becomes
[tex]x_{1,2} = \dfrac{-1\pm\sqrt{1+168}}{2} = \dfrac{-1\pm 13}{2}[/tex]
So, if we choose the two signs, we have
[tex]x_1 = \dfrac{-1-13}{2}=-7,\quad x_2 = \dfrac{-1+13}{2}=6[/tex]
Answer:
x = -7, x = 6
Step-by-step explanation:
f(x) = x² + x − 42
You can use the quadratic formula to find the roots (x-intercepts), or, if it's "factorable", you can use the AC method.
Here, a = 1, b = 1, and c = -42.
The product a times c is -42.
Factors of ac that add up to b are +7 and -6.
So the quadratic factors to:
f(x) = (x + 7) (x − 6)
To find the x-intercepts, we set this equal to 0:
0 = (x + 7) (x − 6)
x + 7 = 0, x − 6 = 0
x = -7, x = 6
Stay the amplitude and maximum output for the function!!! Help needed!!
ANSWER
The amplitude is 2 and the maximum value is 2.
EXPLANATION
The given function is
[tex]f(t) = 2 \sin(t) [/tex]
This function is of the form:
[tex]f(t) = a\sin(bt) [/tex]
The amplitude of this function is
[tex] |a| [/tex]
Hence the amplitude is
[tex] |2| = 2[/tex]
Since the amplitude is 2, and there is no vertical shift, it means the function is bounded by
y=-2 and y=2.
The maximum value is :
2
Combine like terms to simplify the following expression: 12x + 4y – 3x + 2 – 8y2 + 32
Answer: The answer is 9x-8y²+4y+34
Step-by-step explanation: Since the equation is 12x+4y-3x+2-8y^2 + 32
1. combine like terms so- combine 12x-3x= 89x
2. look for other like terms- 2+32= 34
3. since 8y^2 and 4y are not the same you can combine them
4. put them all together- 9x-8y^2+4y+3
That's you answer. Hope this helped
Answer to this please ?
Answer:
x=0
Step-by-step explanation:
a vertical line is x= whatever the x-term is
A company makes plastic beach balls with a radius of 2 inches. How many square inches of plastic does the company need to make 10 beach balls? Use 3.14 for mc017-1.jpg and round to the nearest tenth.
Recall the formula mc017-2.jpg.
mc017-3.jpg
mc017-4.jpg
mc017-5.jpg
mc017-6.jpg
Answer:
125.6 square inches of plastic is needed
Step-by-step explanation:
To make 10 plastic beach balls each with a radius of 2 inches, the company would need approximately 502.4 square inches of plastic.
To determine the amount of plastic needed to make 10 beach balls, we first calculate the surface area of one beach ball. The formula for the surface area of a sphere is 4πr². Given the radius of 2 inches, we plug this into the formula:
A = 4πr² = 4 × 3.14 × (2 inches)² = 4 × 3.14 × 4 square inches = 50.24 square inches.
Since this is for one beach ball, we need to multiply this amount by 10, to account for the total plastic needed for 10 beach balls:
Total surface area for 10 beach balls = 50.24 square inches × 10 = 502.4 square inches.
Therefore, the company would need approximately 502.4 square inches of plastic to make 10 beach balls, rounding to the nearest tenth.
A sales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. The representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. She uses the given expression to model the number of club members, in hundreds, after advertising for t months. 1.8(1.02)^12t What does the value 1.8 represent?
Answer:
The value 1.8 represent the club's total number of members today or the present number of members
Step-by-step explanation:
Given an exponential function;
[tex]y=ab^{x}[/tex]
b is the base or the growth factor
a is the initial value, that is the value of y when x = 0
We have been given the exponential function;
[tex]y=1.8(1.02)^{12t}[/tex]
The value 1.8 simply represents the initial value of y. Plug in t = 0 in the equation;
[tex]y=1.8(1.02)^{12(0)}=1.8[/tex]
Therefore, the value 1.8 represent the club's total number of members today or the present number of members
Which of these quadrilaterals can always be classified as a rhombus?
A) kite
B) rectangle
C) square
D) trapezoid
Answer: D) Trapezoid
Step-by-step explanation:
D is the correct answer
F(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4. what is f(x)-g(x)?
Show all of your steps and write your finial answer in factored form.
Answer: 4x^3+2x^2-12x+8
I am sorry it takes to long to type in the equation of this problem step by step. I only can just give you an answer.
Find the product (7 lbs 12 oz) x 3
i think the answer is 23.25 pounds
which linear inequality is represented by the graph?
Answer:
B. y > 3x + 2
Hope it helps :)
25 points!!! In the graph below, line k, y=-x makes a 45° angle with the x- and y-axis.
Complete the following:
R sub k open circle R sub X : (2, 5)
(-5, -2)
(-5, 2)
(5, -2)
Please include the explanation for this thank you!
Step-by-step explanation:
First, reflect over line k:
(2, 5) → (-5, -2)
Then, reflect over the x-axis:
(-5, -2) → (-5, 2)
Find the quotient.
48j 5 k 2 ÷ (-3j 3 k)
A) -16j2k
B) -16j3k2
C) -16j3k
For this case we must find the quotient of the following expression:
[tex]\frac {48 * j ^ 5 * k ^ 2} {- 3 * j ^ 3 * k} =[/tex]
We have to:
[tex]\frac {48} {- 3} = - 16[/tex]
By definition of power properties we have:
[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]
So so:
[tex]\frac {48 * j ^ 5 * k ^ 2} {- 3 * j ^ 3 * k} = - 16 * j ^ {5-3} * k^{2-1}=-16*j^2*k[/tex]
Answer:
Option A
(1.8•10^1)(7•10^5) looking for answer please
Answer:
1.26 x [tex]10^{7}[/tex]
Step-by-step explanation:
The function f(x) = 50(0.952)x, where x is the time in years, models a declining feral cat population. How many feral cats will there be in 9 years?
a) about 428 feral cats
b) about 42 feral cats
c) about 51 feral cats
d) about 459 feral cats
I need the answer along with an explanation so that I can know how to solve the other problems on my own :) :) :)
Answer:
A)
Step-by-step explanation:
Since we are given the function, we can simply plug in the x as 9. So we get 50(0.952)9. Solving this, we get 450(.952) and this is about 428. SO our answer is a) about 428 feral cats.
There will be 428 feral cats in 9 years.
How to find the value of something when a function is given?We can substitute the given number in the function to find the required value here, years are represented by x. Therefore, we must substitute the value of x = 9 in the function to find the population of feral cats in 9 years.
We can find the population as follows:The function is given as:
f(x) = 50(0.952)x.
We have to find the number of feral cats in 9 years. Therefore, the value of x is 9.
Now, we can substitute the value of x in the function. This can be done as follows:
f(x) = 50(0.952)x
f(9) = 50(0.952)*9
f(9) = 50(8.568)
f(9) = 428.4
f(9) ≈ 428
We have found the number of feral cats in 9 years. The number of feral cats that will be alive after 9 years is found to be 428.
Therefore, we have found that there will be 428 feral cats in 9 years. The correct answer is option A.
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