A building 78 feet tall casts a shadow 64 feet long. Find the measure of the angle of elevation of
the sun?. Draw a right triangle and round to the nearest tenth of a degree.
Answers
Answer:
50.6°
Step-by-step explanation:
The reference angle = angle of elevation [tex] (\theta) [/tex]
Side opposite to the reference angle = 78 ft
Adjacent side = 64 ft
Applying trigonometric ratios formula, we would have:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(\theta) = \frac{78}{64} [/tex]
[tex] tan(\theta) = 1.21875 [/tex]
[tex] \theta = tan^{-1}(1.21875) [/tex]
[tex] \theta = 50.6 [/tex] (nearest tenth)
Related Questions
What value of x makes this equation true?
-6x + 3 = 45
Answers
-6x = 42
Divide by -6
x = -7
Answer:
Subtract 3
-6x = 42
Divide by -6
x = -7
Select True or False. (1 point) The expression 3x − 4(2x − 5) is equivalent to the expression 20 − 5x. True False
Answers
Answer:
yes
Step-by-step explanation:
because of the way this is put the result simplified would be 3x-8x-20
3-8=-5
so the answer is 20-5x
x=0.25 btw
A) {(0,1),(1,2),(2,3),(3,4),(1,5)}
B) {(0,0),(1,1),(2,4),(3,9),(4,16)}
C) {(-2,4),(-1,1),(0,0),(2,4),(3,9)}
Which one is a function?
And which is is not Non-function?
PLZ ANSWER PLZ 15 POINTS JUST PLZ
Answers
PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.
Answers
Answer:
ok it has to be c baceau it loooks like it
Step-by-step explanation:
Is 11 a solution to 3(x+6)=4x ?
Answers
Answer:
The number 11 is not a solution for the given equation.
Step-by-step explanation:
We are given an equation with one variable. We can use simplifying processes to solve the equation.
[tex]3(x+6)=4x \ \ \text{Distribute the 3 through.}\\3x + 18 = 4x\ \ \ \text{Flip the equation.}\\4x = 3x + 18 \ \ \ \text{Subtract 3x from both sides.}\\\small\boxed{\bold{x = 18}}[/tex]
We can also substitute 11 for x and solve to see if the left side and right side of the equation equals itself.
[tex]3(11 + 6) = 4(11)\\33 + 18 = 44\\\small\boxed{\bold{51 \neq 44}}[/tex]
Therefore, 11 is not a solution for the given equation.
Answer:
First of all,We need to find the value of x to find that 11 is the solution to 3(x+6)=4x or not.[tex] \displaystyle \rm \longmapsto \:3(x + 6) = 4x[/tex]
[tex] \displaystyle \rm \longmapsto \:3x + 18 = 4x[/tex]
[tex] \displaystyle \rm \longmapsto \:4x = 3x + 18[/tex]
[tex] \displaystyle \rm \longmapsto \:4x - 3x = 18[/tex]
[tex] \displaystyle \rm \longmapsto \:x = 18[/tex]
Let's put x as 11:[tex] \displaystyle \rm \longmapsto \:3(11 + 6) = 4(11)[/tex]
[tex] \displaystyle \rm \longmapsto \:33 + 18 = 44[/tex]
[tex] \displaystyle \rm \longmapsto \:51 = 44[/tex]
51 doesn't equal to 44.So,11 is not the correct solution to 3(x+6)=4x.im bad at math so help ill mark the first person brainliest ty
Answers
Answer:
A. -x² + 2x + 8
General Formulas and Concepts:
Algebra I
Combining like termsStep-by-step explanation:
Step 1: Define
f(x) = 2x + 1
g(x) = x² - 7
(f - g)(x) is f(x) - g(x)
Step 2: Solve
Substitute: (f - g)(x) = 2x + 1 - (x² - 7)Distribute -1: (f - g)(x) = 2x + 1 - x² + 7Combine like terms: (f - g)(x) = -x² + 2x + 8negative 3 times x equals?
Answers
Answer:
-3x
Step-by-step explanation:
Answer:
Step-by-step explanation:
If we multiply any negative number in this case -3 times a POSITIVE we will always get a negative. So the positive we can put as x and multiply -3 times x = -3x.
Hope this helps :D
The graph below shows a quadratic function f(x) and an absolute value function g(x) Which of the following x-values are approximate solutions to the equations f(x) = g(x)? select all that apply
Answers
Answer:
a, b ,e
Step-by-step explanation:
The solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
What is equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is solution to equations?"It is a value or a set of values, when substituted for the unknowns, the equation becomes true."
For given question,
We have been given the graph of a quadratic function f(x) and an absolute value function g(x).
We need to find the x-values that are approximate solutions to the equation f(x) = g(x).
To solve the equation f(x) = g(x), we look for the points where the graphs of f(x) and g(x) intersect.
The intersection point of f(x) = g(x) appears to be at point which lie in the second quadrant and the x-value lie between -2 and -4.
Also, the second intersection point lie in the fourth quadrant where x value is in between 4 and 6.
So, the solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
Learn more about the solution to the equation here:
https://brainly.com/question/14603452
#SPJ2
Ingrid types 3 pages in the same amount of time that Tanya types 4.5 pages. Write a proportion that could be used to find the number of pages Tanya will have typed when Ingrid has typed 11 pages, if they start typing at the same time. Use x to represent the number of pages Tanya has typed.
Answers
Answer:
16.5 pages
Step-by-step explanation:
Number of pages Ingrid types = 3
Number of pages Tanya types = 4.5
The proportion to find how many pages Tanya would have typed (x), if Ingrid typed 11 pages would be as follows:
3 : 4.5 = 11 : x
Thus:
[tex] \frac{3}{4.5} = \frac{11}{x} [/tex]
Cross multiply
[tex] 3*x = 11*4.5 [/tex]
[tex] 3x = 49.5 [/tex]
Divide both sides by 3
x = 16.5 pages
A company is considering purchasing mineral rights to two different mountains. The probability that it will purchase the mineral rights to the mountain is 0.55. The probability that will purchase the mineral second mountains 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, the probability that it will purchase the mineral rights to exactly one of the two mountains?
Answers
Answer:
.51
Step-by-step explanation:
P(F)=.55, P(S)= .4
P(F ∩ not S)= .55×.6=.33
P(S ∩ not F)= .4×.45=.18
.33+.18=.51
Answer:
The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
Step-by-step explanation:
Given information:
A company is considering purchasing materials:
The probability of purchasing mineral rights
Form the first mountain [tex]p_1=0.55\\[/tex]
From the second mountain [tex]p_2=0.4[/tex]
As the decision is made independently
So, P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]=0.55 \times 0.6\\[/tex]
P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]= 0.33\\[/tex]
Similarly, the value of
P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.4 \times 0.45[/tex]
P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.15[/tex]
Hence , [tex]P=0.33+0.18[/tex]
[tex]P=0.51[/tex]
Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
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Question 19
The smallest number by which 45 should be multiplied so as to get a perfect square is
(1 Point)
3
05
O 7
O2
Answers
Answer:
45 * x = 49
x = 49 / 45 = 1.0888888888888...
Step-by-step explanation:
PLEASE HELP PLEASE HELP
Answers
Answer:
Step-by-step explanation:
2x^3+x^2-8x-4
(2x+1)(x+2)(x-2)
The Quotient of 5 times a number and 7 is no more than 10.
Answers
5x/7 is less than or equal to 10
A spaghetti dinner cost $12 and a slice of cake cost $3. Write an expression, using distributive property to find the total cost for a family of 5. Then solve your expression, showing your work, to find the total cost.
Answers
Answer:
5 (12+3)
75
Step-by-step explanation:
so you multiply 5 with the inside of paranthesis. So 5 x 12 and 5 x 3
So its 60 + 15 which is 75. Hope this helps!
Please help I have no idea what the answer is
Answers
Answer:
x = 25
Step-by-step explanation:
Answer:
x= 25
Step-by-step explanation:
Add 2 given sides then subtract 180
help me please, i’ll give brainliest
Answers
Answer:
Step-by-step explanation:
THE BEST ANSWER IS C>>>>>>>>>>>>
Which of the following is equivalent to (5x^2)(4x^3)
Answers
Answer:
20x^5
Step-by-step explanation:
You just multiply 5 by 4 and get 20 and when multiplying exponents you just add them together so you get 20x^5
Y’all please help I have so many missing assignments and it would help if you even did one question for my homework
Answers
Answer:
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 112°. Find
the value of x.
Answers
68 + 90 = 158
180 - 158 = 22
x = 22
2x+3>_7 or 2x+9>11 plzzzz help meee
Answers
Answer:
b
Step-by-step explanation:
hi I I'm the explanation
HELP Evaluate the function for x = 2 and x = 7.
h(x)=−4x+61
Answers
Answer:
Step-by-step explanation: not sure why there is two x values can you explain more
There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?
Answers
Answer:
0.06
Step-by-step explanation:
probability of multiple of 6= 0.2
probability of multiple of 4= 0.3
0.2 * 0.3 = 0.06
How many solutions does the equation
10-3x+10x-7=5x-5+2x+8 have?
Answers
Need help !!!! I would make you 100 edits if you answer this for me ! I need some help on this !! It’s due in a few minutes!! Help me !!
Answers
Answer:
6A7C8B
Step-by-step explanation:
Add them in and try to solve for 7 and 6, for 8. I usually put all number on one side and all x on other side.
What is the answer???
Answers
Answer:
3, 11, and 14
Step-by-step explanation:
One side length of a triangle that is selected at random must be smaller than the sum of the other two side lengths and bigger than their difference
one side of this triangle is 4 and the other is 7 so if we call the third side length x
7-3 < x < 7+3 ➡ 4 < x < 11
what is 55 - 11u =55
Answers
Explanation:
Take the subtraction sign turn it into a plus because you want to make it a bigger number. Then it equals 110 and divide 110 by 11u and it equals 10
Can y’all help give me the answer
Answers
You times y by it’s self to get y squared
Times -2 *-2 to get 4 then put it together
31 = - (1 +6p ) +4(p + 6 )
Answers
Answer:
p = -4
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
p = -4
Step-by-step explanation:
I'm not going to explain each step, just try to follow along.
31 = -(1+6p)+4(p+6)
31 = -1-6p+4p+24
7 = -1-2p
8 = -2p
p = -4
I hope this helps!
if y(x)=4x what is x when y(x)=4?
Answers
Answer:
1
Step-by-step explanation:
y(x)=4x
y(x)=4
<=>4x=4
<=>x=1
A car can travel 252 miles on 9 gallons of gasoline. How many gallons of gas
will it need to go 140 miles?
1
Answers
Answer:
5
Step-by-step explanation:
252/140=9/X
252x=1260
x=5