Answers
Answer: Approximately 49 degrees
A slightly more accurate angle value is about 49.458398 degrees.
======================================================
Explanation:
Draw a right triangle as shown in the diagram below. The horizontal leg is 13 ft and the hypotenuse is 20 ft. The angle between these two sides is what we want to find.
With this reference angle, the adjacent side is 13 and the hypotenuse is 20. We use the cosine ratio to tie the sides together with this angle.
Let x be the unknown angle.
cos(angle) = adjacent/hypotenuse
cos(x) = 13/20
cos(x) = 0.65
x = arccos(0.65)
x = 49.4583981264954
x = 49
I'm rounding to the nearest whole number since the given values (13 and 20) are also whole numbers. If your teacher provides other rounding instructions, then be sure to follow that of course.
The angle of elevation is roughly 49 degrees. Make sure your calculator is in degree mode. The notation "arccos" stands for "arccosine" and it's the same as inverse sine.
Related Questions
HELP FAST!!!!
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
A. -3x + 4y = 3
B. -1.5x − 3.5y = -31.5
C. 2x + y = 20
D. -2.25x + y = -9.75
Answers
Answer:
[tex]-1.5x - 3.5y =- 31.5[/tex]
Step-by-step explanation:
Given
AB: [tex]-7x + 3y = -21.5[/tex]
[tex]PQ(x_1,y_1) = (7,6)[/tex]
Required
Determine the equation of PQ
First, we calculate the slope of AB:
[tex]-7x + 3y = -21.5[/tex]
Make 3y the subject
[tex]3y = 7x - 21.5[/tex]
Make y the subject
[tex]y = \frac{7}{3}x - \frac{21.5}{3}[/tex]
An equation has the general form:
[tex]y = mx + b[/tex]
Where m = slope
So:
[tex]m = \frac{7}{3}[/tex] -- Slope of AB
From the attached diagram, we can see that PQ is perpendicular to AB.
This means that, the relationship between their slope is:
[tex]m_2 = -\frac{1}{m_1}[/tex]
Substitute 7/3 for m1
[tex]m_2 = -\frac{1}{7/3}[/tex]
[tex]m_2 = -\frac{3}{7}[/tex]
The equation of PQ is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = m_2 = -\frac{3}{7}[/tex]
and
[tex]PQ(x_1,y_1) = (7,6)[/tex]
So, we have:
[tex]y - 6 = -\frac{3}{7}(x - 7)[/tex]
Multiply both sides by 7
[tex]7(y - 6) = -\frac{3}{7}(x - 7)*7[/tex]
[tex]7y - 42 = -3(x-7)[/tex]
Open bracket
[tex]7y - 42 = -3x + 21[/tex]
Collect Like Terms
[tex]3x + 7y = 42 + 21[/tex]
[tex]3x + 7y = 63[/tex]
Divide through by -1/2
[tex]-\frac{1}{2}(3x + 7y) = -\frac{1}{2}*63[/tex]
[tex]-1.5x - 3.5y =- 31.5[/tex]
The equation of PQ is: [tex]-1.5x - 3.5y =- 31.5[/tex]
Answer:
B. -1.5x − 3.5y = -31.5
Step-by-step explanation:
Got it right on the test. ; )
Please hep me with this question. Thanks!
1 + 2 + x 7 + 2?
Answers
Answer:
7x+5
Step-by-step explanation:
i don't get this one
Answers
A kite is a quadrilateral with exactly two pairs of adjacent congruent sides. (This definition excludes rhombi. Some textbooks say a kite has at least two pairs of adjacent congruent sides, so a rhombus is a special case of a kite.)
Answer:
rectangles, square, and isosceles trapezoids
Step-by-step explanation:
It's asking which shapes always have the property that two pairs of two angles next to each other are congruent.
This would be true for rectangles, square, and isosceles trapezoids.
find the mean median and mode of 5, 9, 7, 12, 6, 4, 10, 8, 14, 9, 4
Answers
Answer:
Mean:8
Median:8.5
Mode:9,4
Step-by-step explanation:
Mean Steps:
mean(5,9,7,12,6,4,10,8,14,9,4)
To find the mean of the set 5,9,7,12,6,4,10,8,14,9,4 first add the members together.
5+9+7+12+6+4+10+8+14+9+4=88
The mean (average) of the set 5,9,7,12,6,4,10,8,14,9,4 is found by dividing the sum of its members by the number of the members, in this case 11.
88/11 = 8
Mode Steps:
Mode(5,9,7,12,4,10,8,14,9,4)
The mode of a set is the value that appears most often. The mode can have more than one value if two or more values appear the same number of times and more times than any other values in the set.
mode(5,9,7,12,4,10,8,14,9,4)
Putting the numbers in order can make it easier to find the mode because values that appear more than once will be next to each other.
4,4,5,7,8,9,9,10,12,14
In this case the mode has more than one value because 9 and 4 both appear 2 times, more often than any other values.
mode(4,4,5,7,8,9,9,10,12,14)=9,4
Factorize
2(x+y) ²+9 (x+y)+7
Answers
Answer:
(2x+2y+7)(x+y+7)
Step-by-step explanation:
I suspect this is what you are expected to do.
Define z=x+y
2z^2+9z+7
2z^2+2z+7z+7
2z(z+1)+7(z+1)
(2z+7)(z+1)
(2x+2y+7)(x+y+7)
7b) A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of
vinegar. The line represents the relationship between the amount of oil and the amount of
vinegar needed to make salad dressing according to this recipe. The point (1,1.5) is on the
line.
In the box below, write an equation that represents the relationship between oil (o) and vinegar (V)
Explain the meaning of the point (1,1.5).
Answers
Answer:
the meaning of 1, 1.5 is that 1.5 is the oil sad and the 1 is the vinegar.
Step-by-step explanation:
what expression should be substituted for y in the equation 5x+2y=25 to solve the system of equations?
Answers
Answer:
y= 25
Step-by-step explanation:
y = 25 /2
Helppp MEEEEEEE!!!!! what is 3(-2)-15+2=
And plzzzzzzzz show your work
Answers
Answer:
Step-by-step explanation:
3(-2)-15+2 = -6-15+2 = -21+2 = -19
Answer: -19
Step-by-step explanation:
3(-2)-15+2
Multiply the 3 and -2 because of the parenthesis first:-6-15+2
Next just put the negative numbers together:-21+2
Then just do -21+2=-19
Y= 5x+3 find the slope m=
Answers
Answer:
m = 5
Step-by-step explanation:
.........................
If the area of the rug in this den 80 square feet and the width of the carpet is 8’,what is the perimeter of the rug?
A. 10’
B.36’
C.176’
D.180’
Answers
What is the slope of the line that passes through (3,3) (7,6)?
Answers
Answer:
3/4 i think
Step-by-step explanation:
Answer:
0.75
Step-by-step explanation:
slope=(y_2-y_1)/(x_2-x_1)
slope=(6-3)/(7-3)
slope=(3)/(4)
slope=0.75
en este caso hay dos expresiones algebraicas equivalentes que representen el área del círculo Cuáles son las esas expresiones equivalentes a 153.86
Answers
Answer:
I don't speak Spanish so sorry can't help
An employee plays $75 towards health insurance, while the employer pays $350. What is the ratio of the employers contribution to the employees contribution?
Answers
Answer:
350:75?
fraction form: 350/70
Step-by-step explanation:
What is -6(4x+2) in math?
Answers
this is a self evaluation thing because j want to get better at math
Answers
Answer:
SAS for similarity
Step-by-step explanation:
I can tell you from this is that ∠TUS ≅ ∠WUV, because they are vertical angles.
The triangles cant be congruent by SSS, SAS, or ASA because the sides are not equal.
However, they are similar because 45/15 = 3 and 36/12 = 3. That would be the SAS for similarity.
I need help please .
Answers
30-16= 14 So, the answer would be 14
Answer:
14
Step-by-step explanation:
2 (5) + 4 (5) - 9 - 7 = 14
Antonio baked 150 muffins of
All the muffins he baked 46% of them were blueberry How much blueberry muffins did Antonio bake
Answers
Answer:
69
Step-by-step explanation:
150x.46=69
or
46% of 100= 46
half of 100 is 50
46% of 50 =23
23+46=69
HELP!!
Which of these matrices have a positive determinats??
Answers
Answer:
3 and 4!!
hope this helps!!!
Please help me solve this
Answers
Answer:
8.96
Step-by-step explanation:
In the diagram below, a window of a house is 15 feet above the ground. A ladder is placed against the house with its base at an angle of 75° with the ground.
Determine and state how far away from the house the base of the ladder is placed to the nearest foot.
I'm trying to do a Desmos activity, help!
Answers
9514 1404 393
Answer:
4 feet
Step-by-step explanation:
Desmos is useful for finding the answer to this. The problem statement tells you the angle with the x-axis is 75°. If we put the ladder in the first quadrant, the slope will be -tan(75°). We can raise its end to the 15 ft level by making the y-intercept be 15. Then the x-intercept answers the question: 4 ft.
_____
Additional comment
The angle mode needs to be set to Degrees in the Desmos settings for this equation to produce the correct graph.
the answer is 15.5 for this question
Find the length of side x in simplest radical form with a rational a
denominator.
Answers
Step-by-step explanation:
the answer is
[tex]x = \sqrt{3} [/tex]
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
What about the equation?
Answers
Answer:
hmm...Umm not sure what that is You are talking about
Answer:
which equation?? mmmmm.........
Which equation means the same as two more than the number of
apples is 5?
Group of answer choices
A. 2 + 5 = a
B. 2(a + 5) = 10
C. 2a + 5 = 5
D. a + 2 = 5
Answers
Answer:
D. a + 2 = 5
Step-by-step explanation:
apples + 2 more = 5 total
Solve for the area:
32 cm^2
16 cm
32 cm
16 cm^2
Answers
[tex] \\ [/tex]
To Find : Area of triangle = ?[tex] \\ [/tex]
Solution :As, we have :
Base of triangle, b = 8 cmHeight of triangle, h = 4 cm[tex] \\ [/tex]
So, to find area of triangle we have a formula :
[tex] \large \underline{\boxed{\bf{Area_{(triangle)} = \dfrac{1}{2} \times b \times h}}}[/tex]
[tex] \tt : \implies Area = \dfrac{1}{2} \times 8 \: cm \times 4 \: cm[/tex]
[tex] \tt : \implies Area = \dfrac{1}{2} \times 32 \: cm^2[/tex]
[tex] \tt : \implies Area = \cancel{\dfrac{32}{2}} \: cm^2[/tex]
[tex] \tt : \implies Area = 16 \: cm^2[/tex]
[tex] \\ [/tex]
Hence, area of given triangle is 16 cm².
A family buys 5 airline tickets online. The family buys travel insurance that costs $17 per ticket. The total cost is $890. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answers
Answer: Equation that represents this situation is 5(x+17) = 1495,
Price of one ticket is 282
Step-by-step explanation:
Here x represents the price of one ticket,
Also, a person bought travel insurance that costs $17 per ticket.
Hence, the total cost of a person = x + 17
⇒ The total cost of 5 person = 5 ( x + 17 )
But, According to the question,
5 ( x + 17 ) = 1495
⇒ x + 17 = 299
⇒ x = 299 - 17
⇒ x = 282
Hence, the price of one ticket = $ 282
Complete the square to solve 3x2 + 12x = 9.
O A. x=2+1
O B. %= 3 + 6
OC. X=-2+
O D.%-
D. x=-2 + 13
Answers
Answer:
C) x = -2 ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
3x² + 12x - 9 = 0
divide through by 3
x² + 4x - 3 = 0
add 3 to each side
x² + 4x = 3
divide 4 in half and square it; add it to each side of equation
x² + 4x + 4 = 3 + 4
(x + 2)² = 7
x + 2 = [tex]\sqrt{7}[/tex]
x = -2 ± [tex]\sqrt{7}[/tex]
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
Answer:
equation 80
Step-by-step explanation:
sana makatulong ❤❤
please help !!!!!!!!!!!!
Answers
m=s(q_2-q_1)
m/s=q_2-q_1
q_2=m/s + q_1
[tex] \tt \dashrightarrow m = s(q_2 - q_1) [/tex]
[tex] \tt \dashrightarrow \dfrac{m}{s} = q_2 - q_1[/tex]
[tex] \tt \dashrightarrow \dfrac{m}{s} + q_1= q_2[/tex]
[tex] \tt \dashrightarrow q_2 = \dfrac{m}{s} + q_1[/tex]
[tex] \large \underline{\boxed{\bf{q_2 = \dfrac{m}{s} + q_1}}}[/tex]
Hence, value of [tex] \tt q_2 = \dfrac{m}{s} + q_1[/tex]
Can someone please do this!! I need the work done with it !:( it’s due tonight