Answer:
DC = 1332.95 feet
Step-by-step explanation:
From the figure attached,
Let the measure of DC = h ft
And measure of side BC = a ft
By applying tangent ratio in ΔBCD,
tan(56°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{DC}{BC}[/tex]
= [tex]\frac{h}{a}[/tex]
h = a[tan(56°)] --------(1)
By applying tangent rule in ΔACD,
tan(22°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(22°) = [tex]\frac{DC}{BC+AC}[/tex]
= [tex]\frac{h}{a+2400}[/tex]
h = (a + 2400)tan(22°) ------- (2)
Equating the values of h from equations (1) and (2),
a[tan(56°)] = (a + 2400)tan(22°)
a[tan(56°) - tan(22°)] = 2400[tan(22°)]
1.0785a = 968.6629
a = 899.085 ft
From equation (1),
h = 899.085[tan(56°)]
h = 1332.948
h ≈ 1332.95 ft
I need help imm struggling
Answer:
180in3 (180 inch cubed)
Step-by-step explanation:
12 x 5 x 3
Answer: I would assume the answer would be 180
Step-by-step explanation: The formula for volume is Length x Width x Height. So multiply all the number above and the answer will be 180
Use the following graph to solve the equation 3n + 7 = 52
Answer:
[tex]3n + 7 = 52 \\ 3n = 52 - 7 \\ 3n = 45 \\ n = \frac{45}{3} \\ n = 15[/tex]
Graph is not inserted.
Select the 2 moves necessary in the sequence of transformations that produced polygon A from polygon E. *
What’s the answer????
Answer:
I believe its 10 but forgive me if I'm wrong
can someone please help me with this question?? (no links!!!)
Answer:
960
Step-by-step explanation:
it says use 3 for pi, so you plug the values into given equation
V = 3·(4)²·20
r is 4 because it is half of 8.
Then multiply
3·16·20 = 48·20 = 960
Answer:
960 cm
Step-by-step explanation:
8/2 = 4 (radius)
3 (since we're using 3 for pi) * 4^2 * 20
3 * 16 * 20
48 * 20
= 960 cm
I hope this helps heh :)
Please help me with the question please ASAP ASAP please please ASAP please please help
* It’s NOT 24 if you get 24
Answer:
The tree is 8 foot long
hope this helps
good day mate
Answer:
8
Step-by-step explanation:
12:6 = x:4
2:1 = x:4
x=8
Pls help I’m very confused (will mark brainliest)
488, 460, 520, 544, 535
What is the range of the data?
Answer:
84
Step-by-step explanation:
To find the range, find the difference between the largest value and the smallest value.
544 - 460 = 84
Convert 456,300,000 to scientific notation.
Answer:
I believe it would be 4.563 x 10^8
Please answer if your know
Answer:
52 pounds
Step-by-step explanation:
52 pounds
Gavin is subdividing land into two plots, where one plot is in the shape of a square and the other plot is in the shape of a rectangle. The square plot of land has a side length of 6x3 feet, and the rectangular plot of land has a length of 3x5 feet and a width of 7x2 feet. Use the properties of exponents to determine the expression that represents the area for each plot of land. Then analyze which plot of land has a larger area if x is 3.
Algebra 2 PLEASE HELP
Answer:
[tex]\frac{x+20}{x+4}[/tex]
Step-by-step explanation:
Can't cancel out terms like that
need to factor out the top and bottom
[tex]\frac{x^{2} +16x-80}{x^{2} -16}[/tex] = [tex]\frac{(x+20)(x-4)}{(x-4)(x+4)}[/tex] now cancel out the (x-4) from the top and bottom
= [tex]\frac{x+20}{x+4}[/tex]
Answer & Explanation:
Error: individual terms in an equation in a fraction cannot be directly canceled out.
Correction:
the easy way (solve the quadratic equation in the numerator and complete the square in the denominator):
(x^2 + 16x - 80) / (x^2 - 16)
(x+20)(x-4) / (x+4)(x-4)
x+20 / x+4
the complicated way (manipulate the exponents and common factors):
(x^2 + 16x - 80) / (x^2 - 16)
(x^2 - 4x + 20x - 80) / x^2 - 2^4
x(x^2-1 - 2^2)+4*5(x - 2^4-2) / (x - 2^2)(x + 2^2)
x(x-4)+20(x-4) / (x-4)(x+4)
x(x-4)+(2^2 (5))(x-4) / (x-4)(x+4)
(x-4)(x + 2^2 (5)) / (x-4)(x+4)
(x-4)(x+20) / (x-4)(x+4)
x+20 / x+4
Can someone help out? No BS please.
Answer:
Angle EHG
Step-by-step explanation:
If you want explanation tell me in comments
Answer:
the correct answer is angle EHB
What is the width of the terrace?
Answer:
12 feet or 4 feet.......
help me with this plsss
Please help!!
A school is constructing a rectangular play area against an exterior wall of the school
building. It uses 120 feet of fencing material to enclose three sides of the play area.
Answer:
Step-by-step explanation:
Question says that it uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides. Putting this into equation, we have something like this.
120 = L + 2W
Where
LW = area.
Again, in order to maximize the area with the given fencing, from the equation written above, then Width, w must be = 30 feet and length, l must be = 60
On substituting, we have
A = LW = (120 - 2W) W
From the first equation, making L the subject of the formula, we have this
L = 120 - 2W, which then we substituted above.
On simplification, we have
L = 120W -2W²
Differentiating, we have
A' = 120 - 4W = 0
Remember that W = 30
So therefore, L = 120 - 2(30) = 60 feet
The required length of the rectangular garden is 60 feet
Area of rectangular shapeAccording to the question, the school uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides.
Substitute into the perimeter of the rectangle will give:
120 = L + 2W
Area = LW
In order to maximize the area with the given fencing, from the equation written above, then w = 30 feet and l = 60
On substituting, we have;
A = LW = (120 - 2W) W
L = 120 - 2W,
On simplification, we have
L = 120W -2W²
Differentiating, we have
A' = 120 - 4W = 0
Remember that W = 30
So therefore, L = 120 - 2(30) = 60 feet
Hence the required length of the rectangular garden is 60 feet
Learn more on area of rectangular garden here: https://brainly.com/question/386401
A figure is made up of with seven X rodes and five Y rodes . If X= 3 and Y= 5 calculate the perimeter with the formula.
OPTIONS:
8
46
50
40
Why do banks offer higher interest on savings accounts than on checking accounts?
The benefit: Savings accounts typically have higher interest rates than checking, making it easy for you to grow your money faster. ... Going over that limit can result in a fee or, if you do it multiple times, your bank might convert the account to checking.
What is the slope of the line that
passes through these two points?
(1, 2)
(2, 8)
(x1.yı) Slope =
rise (y2-yı)
Remember, given two points,
(x2:y2) run (x2-x1)
Answer:
6
Step-by-step explanation:
8 - 2 / 2 - 1
6 / 1
6
a chocolate company selects 800 random packages to check their weight. It finds that 12 packages have an incorrect weight. How many packages out of 4000 should the company predict to have the incorrect weight.
Answer:
1.5% of 4000 or 60
Step-by-step explanation:
What is the answer. Please do NOT send me a link. I am severely struggling with this question.
Answer:
360 ft²
³
Step-by-step explanation:
The volume of the rectangular pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the perpendicular height )
Here A = 10 × 6 = 60 ft² and h = 6 , then
V = [tex]\frac{1}{3}[/tex] × 60 × 6 = 20 × 6 = 120 ft³
The volume of the rectangular prism is calculated as
V = 10 × 6 × 4 = 60 × 4 = 240 ft³
Total volume = 120 + 240 = 360 ft³
Which expression is equivalent to (-3)x+(3)(-12)?
Answer:
Step-by-step explanation:
(-3)x + (3)(-12)
= -3x -36
or -3(x + 12)
Answer:
Step-by-step explanation:
(-3)x + 3(-12) = (-3) (x + 12)
(-3) is both the two terms. So we can take (-3) as common
Someone plz help me giving brainliest
Answer
Use the fact that 45 times 1/9 = 5. Them multiply by 8 to get the answer, 40.
Step-by-step explanation:
Find the variance and standard deviation of the data. Round your answers to the
nearest hundredth.
78, 83, 85, 89, 92, 95
Kiara made a square baby blanket she decided to add one foot of material to one side then cut 4 inches of material off from the bed to sit outside of area of the rest salting blankets in 960 square inches find the area of the original blanket
Answer:
Step-by-step explanation:
960 which is the area u divide by the one foot which is 144 square units to get your answer,6.66666666667
I'll give brainliest
your options are:
a. 60
b. 120
c. 180
d. 40
Answer:
the answer is A
Step-by-step explanation:
It is an acute angle but is larger than 40
PLEASE HELP ONLY HAVE OME HOUR TO COMPLETE!!!!
Answer:
Step-by-step explanation:
To be a function x can't repeat with a different y so in a every element of x is mapped to a different y so it is a function.
For choice B, -4 is paired with both 7 and 8 so it is not a function.
Choice C is a function since each x is paired with a different y.
A serving of walnuts is 5/6 of a cup. How many servings are there in a 2 1/2-cup bag of walnuts?
Answer:
3
Step-by-step explanation:
5/2 ÷ 5/6 = 5/2 × 6/5
5/2 × 6/5 = 30/10 or 3
Plz help is it the same?
Answer:
12.054 < 12.54
Step-by-step explanation:
12.054 is less than 12.54 because it has a zero in the tenths place, and 12.54 has a five in the tenths place! Always check the first spot after the decimal first. Best of luck<3
Answer:
12.054 < 12.54
Step-by-step explanation:
help needed on no 8 pls
Answer:
I’m sorry, but it’s a black screen.
Step-by-step explanation: