Answer:
33 cm²
Step-by-step explanation:
Formula
Surface Area = 4 x Area (triangle) + Area (square)S.A. = 4 x 1/2 x bh + b²Solving
Given that h = 4 cm and b = 3 cmS.A. = 2 x 4 x 3 + 3²S.A. = 24 + 9 = 33 cm²Answer:
33 cm²
Step-by-step explanation:
Since the pyramid has a square base, the area of each of the triangular sides will be the same.
Therefore, to calculate the total surface area, find the area of one triangle, multiply it by 4, then add it to the area of the square base.
Formulae
Area of a square = x³ (where x is the side length)
Area of a triangle = 1/2 × base × height
Calculation
area of the square base = 3² = 3 × 3 = 9 cm²
area of one triangle = 1/2 × 3 × 4 = 6 cm²
Solution
Total area = area of the square base + 4 × area of one triangle
= 9 + (4 × 6)
= 9 + 24
= 33 cm²
Find the error in the calculations below, if there is one:
Line (1): -5 ≤ 2x +7<9
Line (2):-12 ≤ 2x < 2
Line (3): -6 ≤ x < 1
Line (4):
-6
1
The error ocurred from Line (1) to Line (2).
O The error ocurred from Line (3) to Line (4).
There are no errors.
O The error ocurred from Line (2) to Line (3).
A rectangular field has a perimeter of 300m. What is the area of the field if the length of the field is twice the width of the field
Answer:
5000 square meters
Step-by-step explanation:
Create a rectangle and use any variable to lable it.
I used c and I know that the length is twice the width, so I added "c" for both widths and "2c" for both lengths.
Count the number of c's up and you will get 6.
Divide 300/6 to get the value for c.
You get 50 for c, so plug it in for the length 2(50) or 100, and plug it in for the width or 1(50).
Now that you have the length and width of the triangle, use length times width to find the area.
100x50=5000
What is the great number to start on 3x+1?
Answer: 0
Step-by-step explanation:
0 generally is our starting number since it's our y intercept on the graph, so it's most likely a point where you can start graphing.
The sum of my digits is 14 and I am odd. I am less than 3/5 of 160. I am greater than 104 - 12 x 4 + 23.
Answer:
95 assuming this is one number
Step-by-step explanation:
3/5 of 160 is 96
04 - 12 x 4 + 23 is 79
it is greater than 79 and less than 96
79 < x < 96
now find numbers between these 2 numbers that have digits adding to 14.
8+6 and 9+5
The problem included that the number must be odd and so the answer is 95
Is this a right triangle?
Answer:
Yes
Step-by-step explanation:
Use the Pythagorean theorem (a^2 + b^2 = c^2) to find out if the hypotenuse (20 cm) squared is equal to the sum of the other two sides when squared. This will determine if it is truly a right triangle.
[tex]12^{2} +16^{2} =20^{2}[/tex]
[tex]144 + 256 = 400[/tex]
[tex]400 = 400[/tex]
The triangle is indeed a right triangle.
Please answer this with an explanation
Answer:
64 <==== I don't see the correct answer listed
Step-by-step explanation:
Max will occur in month x given by - b/2a = - 32/ (2 * -16) = 1
plug this 'x' month in to find the max value v
= 64
A bullet fired up in the air attains a height of g(x) = 14x2 + 48x - 4 feet after x seconds. Find the
average rate of change of g between X = 1 and X = 3
Answer:
104ft/s
Step-by-step explanation:
[tex]\frac{f(b)-f(a)}{b-a}=\frac{f(3)-f(1)}{3-1}=\frac{266-58}{2}=\frac{208}{2}=104[/tex]
Thus, the average rate of change of the function between x=1 and x=3 is 104ft/s
A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the guy wire. After placing the pole, Marques measures the distance from the stake to the pole to be 3 ft. He then measures the distance from the pole to the tower to be 22 ft. Find the length of the guy wire, to the nearest foot.
The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.
How to solve the length?Here, we have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 2 ft
BD = 35 ft
First, find AB:
AB/11 = (35 + 2)/2
AB/11 = 37/2
Cross multiply
AB = (37 × 11)/2
AB = 203.5 ft
Then, apply Pythagorean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(203.5² + 37²)
AE = 207 ft
Therefore, the length of the guy wire is 207 ft.
Learn more about Pythagorean theorem on:
brainly.com/question/654982
Use a trigonometric ratio to find the value of x. Round your answer to nearest tenth.
C. 15.5 cm
D. 10.9 cm
E. 12.7 cm
Answer:
the Answer is D I think I know
Answer:
e
Step-by-step explanation:
8.9×tan(55)=x
12.71051726
12.7
Six more than the product of 24 and Carlos's savings
Answer:
24c + 6
Hope This Helps! :) Please Give brainliest if This does help you!
Think carefully about the angle relationship the following represents.
What is the value of ∠ZXY?
Answer:
55°
Step-by-step explanation:
Since ∠WXY has a square on ∠X, ∠WXY is a 90° angle. This means that the angles in between ∠WXY also sum up to 90°.
⇒ 35 + 4x + 7 = 90
⇒ 4x = 90 - 35 - 7
⇒ 4x = 48
⇒ x = 48/4 = 12
Substitute the value of x into the expression "4x + 7"
⇒ ∠ZXY = 4x + 7 = 4(12) + 7 = 48 + 7 = 55°
Answer:
We know that this is a 90° Angle.
We already have 35° so we subtract that from 90
90-35=55
So the value of ∠ZXY = 55°
Also, the value of X is equal to 12
Hope this helps!
the circus arts program is one of the most popular activities at camp lohikan. it brings a level of excitement and enthusiasm to the camp experience that cant be found at home or in school. a circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground such that the angle made by the rope with the ground evel is 30 degree
i) find the height of the pole in the above situation.
ii) in the above situation, if the height of thepole is 3m and the length of rope is 6m then find angle ACB
Answer:
hi bro your classmate aleef here
Step-by-step explanation:
hi
South america and africa are drifting apart at a rate of 3.5 cm each year. how far apart will they be in 5,000,000 years
Answer:
17,500,000 cm.
Step-by-step explanation:
3.5cm(5,000,000 years) = 17,500,000
Dakota deposited $500 in an account earning 10% interest compounded annually,
To the nearest cent, how much interest will she earn in 3 years?
Answer:
he will get 150$
Step-by-step explanation:
you times 500 to 0.1 then times that by 3
PLEASE HELP!!
Find the missing side lengths. Round decimals to the nearest tenth.
Answer: 36.2
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
square root of 39
Step-by-step explanation:
5^2+b^2=8^2
25+b^2=64
64-25=39
each row describes a proportional relationship between the number of pounds of tomatoes used and the number of pints of tomato juice produced. complete the table by writing the constant of proportionally for each situation.
Considering the table given, the constant of proportionality of the proportional relationship is of k = 0.8.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
Researching the problem on the internet, the set of values is as follows: (4,5), (8,10), (12,15), ...
Hence the constant is given by k = 4/5 = 8/10 = 12/15 = ... = 0.8.
More can be learned about proportional relationships at https://brainly.com/question/10424180
The pounds of tomatoes and the pints of tomato juice illustrates a proportional table
The constant of proportionality of the table is 1.25
How to determine the constant of proportionality?From the complete question, we have the following value
(x,y) = (4,5)
The constant of proportionality for a proportional table is calculated using:
y = kx
Make k the subject
k = y/x
So, we have:
k = 5/4
Evaluate
k = 1.25
Hence, the constant of proportionality of the table is 1.25
Read more about constant of proportionality at:
https://brainly.com/question/1835116
Please help me with this please and thank you
Step-by-step explanation:
y = ax^n + bx^(n-1) ... + z
(0, 1) tells us that the constant term z = 1.
because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.
for the other pairs I strongly suspect
(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3
(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9
so, the fitting equation is
y = 2x² + 1
Can you explain how you got your answer?
find the vertex for the function:
y = 6(x + 3)^2 - 1
Answer:
The vertex would be (-3, -1)
Step-by-step explanation:
Since this is in vertex form already, a(x-h)^2+k where h is the x value of the vetex, and k is y.
We would take the opposite of +3 and get -3, which gives us our x cordinate.
We don't change the k value, so it just stays -1, giving us our y value.
Therefore, the vertex is at (-3, -1)
Hope this helps!
The diagram shows the shape of Jane's backyard find the area of Jane's backyard.
Answer:
1065 square feet
Step-by-step explanation:
seperate the composite shape into two rectangles:
Calculate the area of shape 1:
A=bh
To get the base 55-20= 35
35x15 = 525
calculate the area for shape 2:
A=bh
20x27 = 540
525+540= 1065
Answer:
1065 square feet
Step-by-step explanation:
Area of backyard
Left rectangle + Right rectangle27 x 20 + 15 x (55 - 20)540 + 15 x 35540 + 5251065 square feetCan someone help me with this please and thank you
Answer: single goes on 45 i forgot the other one
Step-by-step explanation:
PLS HELP FOR BRAINLY
Answer:
B
Step-by-step explanation:
Hope this helped and brainly please
GIVING BRAINLIEST AND 50 POINTS!! What is the mode of the data represented in this line plot?
Enter your answer in the box.
Answer:
3Step-by-step explanation:
The mode is the most repeated data in the set.
According to the graph, the most repeated number is 3. There are four of 3's, three 2's and 4's and two 2's.
The mode is 3.
Answer:I DID IT FROM OFF OF k12 and it was right its 3
Step-by-step explanation:
What does 'n' represent in the general term (tn) = an2 + bn+c of a sequence?
Answer:
number of terms
Step-by-step explanation:
Answer:
n represents any natural number.
Step-by-step explanation:
Ramesh lent a loan of Rs 1800 to Suresh at a rate of interest for 2 years. At the end of period Suresh refunded him a total of Rs 2232. At what rate of interest had Ramesh lent the loan? Ans: 12%
Answer:
12%
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = Rs 2232P = 1800t = 2Substitute given values into the formula and solve for r:
⇒ A = P(1 + rt)
⇒ 2232 = 1800(1 + r · 2)
⇒ 1.24 = 1 + r · 2
⇒ 0.24 = 2r
⇒ r = 0.12
Convert into percentage:
0.12 = 12/100 = 12%
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
8
Step-by-step explanation:
[tex]a^2+b^2=c^2\\a^2+6^2=10^2\\a^2+36=100\\[/tex]
subtract 36 from each side
[tex]a^2=64\\\sqrt{a^2=64}\\a=8[/tex]
or you could recognize the 3-4-5 Pytagorean triple, as the ratio is doubled.
Which graph represents the solution set of this inequality?
- 11 - 20 > 1
Choose 1 answer:
-10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5
Help me
Answer:
It's C
Step-by-step explanation:
-11-2d is greater of equal to 1
add 11 to both sides to get
-2d is greater of equal to 12
divide -2 to both sides which flips the greater than sign to less than
getting d is less than or equal to -6
find the volume and the surface area of the shape
Answer: 192 is the volume of the shape
Step-by-step explanation: multiply the base area which is 6 and 8 equals to 48 and times the height so 48 Times 12 Equals 576. Sorryyy I don't know the surface area . Divide by 3 equals to 192
Write the equation of a cubic function f(x) that has zeros x = –3, x = –1 and x = 2. Please show work
Answer:
f(x) = (x +3)(x +1)(x -2)
Step-by-step explanation:
When 'a' is a zero of a polynomial function in x, the binomial (x -a) is a factor of the polynomial.
__
The three zeros give rise to a polynomial with three factors:
f(x) = (x -(-3)) · (x -(-1)) · (x -2)
f(x) = (x +3)(x +1)(x -2) . . . . . your cubic function
__
This can be expanded using the distributive property.
f(x) = (x² +4x +3)(x -2) = x³ +4x² +3x -2x² -8x -6
f(x) = x³ +2x² -5x -6 . . . . . standard form