The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is [tex]25^{\circ}[/tex]
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]
Also on this one I’m having trouble
Answer:
try just 10. without the (-)
Solve -17 = for x. x =
Answer:
-17
Step-by-step explanation:
Find the remaining volume of the cube with the cone removed.
What is the coordinate of the focus
for the following parabola:
(x - 1)2 = 12(y + 2)
A. (1, -2)
B. (0, 12)
C. (12,0)
D. (1, 1)
Answer:
I want to say B or D please tell me if I'm right lol
Which fraction is equivalent to -(7/8)
1. -7/8
2. -7/-8
3. -(-7/8)
4. -(7/-8)
Answer:
A. The others are equivalent to 7/8
A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?
Answer and Step-by-step explanation:
The answer is acute.
Acute angles are angles that have a degree that is less than 90 degrees.
Obtuse angles are angles that have a degree that is more than 90 degrees.
Right angles are angles that are 90 degrees.
Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.
#teatrmees #PAW (Plant And Water)
Simplify each expression
-4 + 7 (1-3m)
Answer:
3 - 21m
Step-by-step explanation:
-4 + 7(1-3m)
-4 + 7 - 21m
3 - 21m
A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2
Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
0.51 and 11.24 seconds.
Step-by-step explanation:
The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:
[tex]h(t)=188t-16t^2[/tex]
And we want to find all values of t for which the rocket's height is 92.
So, we can set h(t) = 92 and solve for t:
[tex]92=188t-16t^2[/tex]
We can divide everything by four:
[tex]23=47t-4t^2[/tex]
Rearrange the equation:
[tex]4t^2-47t+23=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = -47, and c = 23. Substitute:
[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]
So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.
A(n) is a written agreement between different parties.
A. contract
B. commitment
C. month-to-month
D. annual commitment
Answer:
A. contract
Step-by-step explanation:
If cos(x) = 3/5 and sin x < 0, find sin(2x) as a fraction in simplest terms.
sin(2x) =
Answer:
NOT 24/25 and NOT -4/5
Step-by-step explanation:
took the quiz
If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.
To find sin(2x), we can use the double-angle formula for sine:
sin(2x) = 2 * sin(x) * cos(x)
Given:
cos(x) = 3/5
sin(x) < 0
We need to determine sin(x) based on the given information.
Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:
[tex](sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25[/tex]
sin(x) = -4/5
Now we can the values into the double-angle formula for sine:
sin(2x) = 2 * sin(x) * cos(x)
sin(2x) = 2 * (-4/5) * (3/5)
sin(2x) = (-8/5) * (3/5)
sin(2x) = -24/25
Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.
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when twice a number is increased by 10, the sum is 42.what is the number?
The model represents an inequality. What is the solution set for the inequality?
F). x ≤ -5
G). x ≤ 5
H). x ≤ 1
J). x ≤ -14
Answer:
-5
Step-by-step explanation:
4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5
Solve the expression below. 3/7÷2 1/2
Answer:
6/35
Step-by-step explanation:
3/7 : 2 1/2
2 1/2 = (2*2+1) / 2 = 5/2
3/7 : 5/2 = 3/7 * 2/5 = (3*2) / (7*5) = 6/35
What number is 0.01 more than 253.498?
Answer:
1/64
Step-by-step explanation:
Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.
In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078, less than 0.100 but not the first number.
The correct value for n is 9 that will give us 2-4=1/16
253.508 is 0.01 more than 253.498.
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
Let the number be x
so,
x=253.498+0.01
x= 253.508
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x^2 = 1/100, what is x
X in (-oo:+oo)
X^2 = 1/100 // - 1/100
X^2-(1/100) = 0
X^2-1/100 = 0
1*X^2 = 1/100 // : 1
X^2 = 1/100
X^2 = 1/100 // ^ 1/2
abs(X) = 1/10
X = 1/10 or X = -1/10
X in { 1/10, -1/10 }
Help please!! :)))) Thanks!
. Solve for x. a) 10 - 1/4x - 7 b) 3 (x + 8 ) = 21
a) 10 - 1/4x = 7
1/4x = 7 + 10
= 17
x = 17/ (1/4)
b) 3 (x + 8 ) = 21
x + 8 = 21/3
= 7
x = 7 - 8
= -1
In which direction does the left side of the graph of this function point?
fx) = 3x - x²+4+- 2
Which choice is equivalent to the expression below?
Linda is training for a half marathon. She ran
3 34 miles Monday, 3 miles Tuesday, and 2 12 miles Wednesday. How many miles did she
run in those three days?
Answer:
8 14
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
45°
X
45°
6
Answer:
square root 6
Step-by-step explanation:
Erin opened a savings account that earns 3% simple interest. If she deposts $2,750 and doesnt make any additional deposits or withdrawals how much money will be in her account at the end of 6 years?
Answer:
3245$ (im assuming the interest is yearly)
Step-by-step explanation:
using the is/of method
3% x
___ ___ cross mult and divide. = 82.5 interest x 6 years of it
100 2750
2750 + 495
help me plsssss i rlly need helppppp i'll give brainliestttt
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
Please helpp
Extra points and brainleist
Answer:
D
(x+3)^2=4(x+3)(x+3)=4x^2+3x+3x+9=4x^2+6x+9=4x^2+6x=4-9x^2+6x=-5x^2+6x+5=0The volume of a triangular prism is 42 cubic centimeters. What is
the volume of a similar prism that is twice as large as the first
prism?
A. 21 cm
C. 168 cm
B. 84 cm
D. 336 cm
Answer:
B
Step-by-step explanation:
It's needing to be doubled in size. That should be it hope it helps
The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6
============================================================
Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
Which expressions are equivalent to the one below? Check all that apply.
log, 1 • log, 81
A. O
B. 9.9
O C. 1
O D. 9.log, 9
SUBMIT
Answer:
I think is C I hope is right
The correct expressions which are equivalent to the one below is,
⇒ 0
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ log 1 × log 81
Now, We know that;
⇒ log 1 = 0
Hence, The correct expressions which are equivalent to the one below is,
⇒ log 1 × log 81
⇒ 0 × log 81
⇒ 0
Thus, The correct expressions which are equivalent to the one below is,
⇒ 0
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3x²-7x+4=0
can yall help me
Answer:
I think it
[tex]X1 = 1.333\\X2 = 1\\\\[/tex]