Using the slope concept, supposing the horizontal distance is of 1500 feet, the angle of depression will be of 37º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we suppose an horizontal distance of 1500 feet, with a vertical distance of 2000 feet, hence:
[tex]\tan{\alpha} = \frac{1500}{2000}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{1500}{2000}\right)}[/tex]
[tex]\alpha = 37^\circ[/tex]
The angle of depression will be of 37º.
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Find the area of the shaded region
Answer:
1390
Step-by-step explanation:
(35*44)-((44-(17*2))*(35-(10*2)))
= 1390
Suppose f (x) = x². Find the graph of
y (x+5).
Step-by-step explanation:
Suppose f (x) = x². Find the graph of
y (x+5).
What is the value of x
x = 20°
The total sum of interior angles in a triangle is 180°
x + 5 + 7(x) - 5 + x = 180°x + 7(x) + x + 5 - 5 = 180°9(x) = 180°x = 20°Answer:
D) x = 20
Step-by-step explanation:
Theorem
The sum of the interior angles of a triangle is 180°
Solution
Add the angles and equate to 180:
⇒ (x + 5) + (7x - 5) + x = 180
Collect like terms:
⇒ x + 7x + x + 5 - 5 = 180
Combine like terms:
⇒ 9x = 180
Divide both sides by 9:
⇒ x = 20
please give me answer
please give me answer
Did I read your handwriting correctly? Is this what you wrote? If so the answer is:
[tex](x( {x}^{2} - 2xy - {y}^{2} ) \div (x + y)(x - y)^{2} [/tex]
what is 4.768 as a common fraction
Answer:
[tex] \frac{596}{125} [/tex]
should be it
Mr. gonzalez earns his living as a salary plus commission employee. his annual salary is $18,000. he makes 4% commission on all of his sales. mr. gonzalez wants to earn $60,000 this year. if his earnings are divided evenly throughout the year, how much in monthly sales would mr. gonzalez need to have? a. $37,500 b. $87,500 c. $100,000 d. $125,000 please select the best answer from the choices provided a b c d
In monthly sales would mr. gonzalez need to have $100000
Mr. Gonzalez earns his living as a salary plus commission employee, then his annual earnings can be represented by
What is the formula for monthly earning?Monthly earnings=a+bx
Where a =his annual salary (fixed),
b = the percentage of sales commission and
X =represents the volume of sales made each year.
Therefore When Mr. Gonzalez annual salary is $18,000 and makes a commission of 4%, his annual sales that will enable him earn an annual salary of $60,000 will be equal to
$60000 = $18000 + 0.04X
$60000 - $18000 = 0.04X
$48000 = 0.04X
0.04X = $1200000
X = $48000/0.04=12000000
X=$12000000
Therefore, his monthly sales is given by his earnings divided evenly each month is equal to
$1200000/12=$100000
So the option c is correct.
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Answer:c
Step-by-step explanation:
I need help
Marcus goes to the park, which is 4 miles away. He walks 5/12 of the way and then jogs the rest of the way.
Write an equation to find how many miles he walks.
Answer:
Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)
Step-by-step explanation:
Answer:
Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)
Step-by-step explanation:
The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n +c.what does the graph tell you about the value of a in this function?
Answer:
a is less than 0
Step-by-step explanation:
The value of a in this function is a is less than 0 .
What is radical function?A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions. An example of a radical function would be. y=√x.
According to the question
Radical function that can be written in the form
[tex]f(x)=a(x+k)^{1/n} +c.[/tex] ------------------------(1)
By solving this equation we will get value of a and c
differentiating the equation
[tex]f'(x)=\frac{1}{n}* (a(x+k)^{1/n-1})[/tex]
therefore
[tex]((x+k)^{1/n-1}) > 0[/tex]
As graph is decreasing monotonically
[tex]\frac{a}{n} < 0[/tex]
as n will be always n>0 ,
so a < 0
Now taking value of f(x)= 0 in equation (1)
[tex]f(x)=a(x+k)^{1/n} +c[/tex]
[tex]0 =-a(x_{0} + k)^{1/n} +c[/tex] as (a < 0)
[tex]0=-a(k)^{1/n} +c[/tex]
[tex]-c =-a(k)^{1/n}[/tex] multiplying (-1) both side
[tex]c =a(k)^{1/n}[/tex]
i.e
c > 0
Hence, the value of a in this function is a is less than 0 .
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simplified form of 2460−78+6884
Answer:
4502
Step-by-step explanation:
6884+78=6962
6962-2460=4502
4/3 of a number is more than 3/4 of its number by 1 . find the number
4/3 of a number is more than 3/4 of its number by 1 . find the number .
Given : -4/3 of a no. is more than 3/4 of its no. by 1To Find : -We have to find the number .To Assume : -Let the no. be xSo Solution goes from here :According to question 4/3 of a number is equal to :
[tex] \longmapsto \: \frac{4}{3} \times x[/tex]
Which means ,
[tex]\longmapsto \: \frac{4x}{3} [/tex]
According to question 3/4 of a number is equal to :
[tex]\longmapsto \: \frac{3}{4} \times x[/tex]
Which means ,
[tex]\longmapsto \: \frac{3x}{4} [/tex]
Now , forming equation :
As the question says that 4/3 of a number is more than 3/4 of its number by 1 . So :
[tex]\longmapsto \: \frac{4x}{3} = \frac{3x}{4} + 1[/tex]
Now , transposing 3x/4 to left hand side :
[tex]\longmapsto \frac{4x}{3} - \frac{3x}{4} = 1[/tex]
Now , taking L.C.M :
[tex]\longmapsto \: \frac{4(4x) - 3(3x)}{12} = 1[/tex]
Now by calculating :
[tex]\longmapsto \: \frac{16x - 9x}{12} = 1[/tex]
Now Subtracting 16x with 9x and transposing 12 to right hand side :
[tex]\longmapsto \: 7x = 12[/tex]
So ,
[tex]\longmapsto \: \boxed{ \bold{ x = \frac{12}{7} }}[/tex]
Therefore , the number is 12/7 .#[tex] \sf{Keep \: Learning }[/tex]What is the area of the figure?
In the figure below, all lines intersect at point W. What is the value of angle VWX?*
Answer: 55
Step-by-step explanation:
Angle VWX and the 55 degree angle are vertical angles.
Someone want to help with number 1
Answer:
95 in²
Step-by-step explanation:
The total area of a pyramid is the sum of the areas of the triangular faces and the area of the base.
__
face areaHere, each triangular face has a base of 5 in, and a slant height of 7 in. Its area will be given by the area formula for a triangle:
A = 1/2bh
A = 1/2(5 in)(7 in) = 35/2 in² . . . . area of one of four congruent faces
__
base areaThe area of the base is that of a square with 5-inch sides. It is given by the formula ...
A = s²
A = (5 in)² = 25 in²
__
total areaThen the total surface area is .
area of base + 4 × triangle area
= 25 in² + 4(35/2 in²) = 95 in² . . . . . surface area of the pyramid
please help Brianlist Provide the missing reasons for the proof.
Given:
Prove:
Answer:
Answer:
1) given
2) reflexive property
3) corresponding angles theorem
4) AA similarity
5) Corresponding sides of similar triangles are proportional.
Simplify 4x2−−−√.
the simplified expression is
Answer:
8
Step-by-step explanation:
If the expression √⋅√ is written as , what is the value of ?
Answer:
rhe base a for u
Step-by-step explanation:
kk
help mean is 7.8 and standard deviation is 1 will give brainly
Answer:
a) Mean shoe size = 7.8
b) 8.8, 9.8 and 10.8
c) see attached
d) Shoe size
Step-by-step explanation:
[tex]\sf Mean \ \mu= 7.8[/tex]
[tex]\sf Standard \ deviation \ \sigma= 1[/tex]
Therefore,
[tex]\sf 1 \sigma=\mu+1 \sigma=7.8+1=8.8\\\sf 2 \sigma=\mu+2 \sigma=7.8+2 \cdot 1=9.8\\\sf 3 \sigma=\mu+3 \sigma=7.8+3 \cdot 1=10.8[/tex]
Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i
29 i - 20
- 21 i
29
Answer:
29 i
Step-by-step explanation:
As the expression given in the question.
= (2 - 5i) (p + q)i
Simplify the above
= (2 - 5i) (pi + qi)
= 2pi + 2qi - 5pi²- 5qi²
As i² = -1
Put in the above
= 2pi + 2qi + 5p +5q
= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i
= 4i + 10i² + 10 + 25i
As i² = -1
= 4i - 10 + 10 + 25i
= 29i
Thus the value of the (2 – 5i)(p + q)i is 29i .
Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair. hurry
Here Allie mistook the x and y axis completely oppositely.
→ First should be the x axis and then the y axis, (x, y)
Answer:
Step-by-step explanation:
Coordinates of a point are usually represented by (x, y) where x describes the horizontal distance from the y-axis and y describes the vertical distance from the x-axis.
Point A
4 units from the y-axis ⇒ x = 4
6 units from the x-axis ⇒ y = 6
A = (4, 6)
Point B
2 units from the y-axis ⇒ x = 2
9 units from the x-axis ⇒ y = 9
B = (2, 9)
Point C
0 units from the y-axis ⇒ x = 0
4 units from the x-axis ⇒ y = 4
C = (0, 4)
Point D
Allie has mixed up the x and y coordinates of D.
7 units from the y-axis ⇒ x = 7
3 units from the x-axis ⇒ y = 3
D = (7, 3)
The product of two rational numbers is 117/40. If one of them is - 13/5, find the other.
Answer:
= - 9/8
Step-by-step explanation:
(-13/5) * x = 117/40 multiply both sides by - 5/13
x = 117 / 40 * - 5/13 = - 9/8
Use the image below to find the missing side lengths.
Answer:
Step-by-step explanation:
Please help!!
Will mark brainliest
Answer:
The zeros of f are x = (0,2)
If m∠4 = 90°, find the m∠5 and m∠3.
Answer:
∠5 = 90°
∠3 =90
Step-by-step explanation:
∠4 + ∠5 = 180 {Linear pair}
90 +∠5 = 180
∠5 = 180 - 90
∠5 = 90°
∠3 = ∠4 {Verically opposite angles}
∠3 = 90°
someone I need help with this thank you !!
Answer:
Question 4) 90 in^3
Question 5) D
Step-by-step explanation:
For question 4 I divided 270 by 1/3 and I got 90 inches^3
For question 5 I mulitplied 1 times 9 times 10 and got 90 inches ^3
Angle g measure’s 117 angle c measure’s 22 angle e measure’s 40 what is the measurement for angle b
Answer:
500
Step-by-step explanation:
carrie has a string 9 inches long.she will cut each piece of string into 1/4
If Carrie has a string 9 inches long, what she will cut the piece into is mathematically given as
X=2.25pcs
What is the number of pieces?Generally, the equation for the number of pieces is mathematically given as
X=Total number *ratio
Therefore
X=9*1/4
X=2.25
In conclusion, If Carrie has a string 9 inches long, she will get 2.25 pics at a 1/4 ratio
Read more about Arithmetic
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make a math slogan (it should be catchy and meaningful)
Answer:
Be a wise girl or guy, Give math a try!
Step-by-step explanation:
Can someone help me with this pls I would be so happy if I got help with this.
Step-by-step explanation:
Pam made a mistake when multiplied fractions.
Correct way of multiplication involves the multiplication of both numerator and denominator.
She should have written
[tex]\cfrac{3}{8}*\cfrac{17}{8} =\cfrac{51}{64}[/tex]
(urgent) help! pic is below, its either A or B!
Answer:
Airplane A.
Step-by-step explanation:
What are the coordinates of point B on AC such as that ratio of AB to BC is 5:1?
Answer:
Lines can be divided in smaller segments by using ratios
The coordinates of B are:
The given parameters are:
The coordinate of B is calculated using:
So, we have:
Simplify fraction
Hence, the coordinates of B are:
Step-by-step explanation: