B) Tangent is positive in Quadrant III is correct!
Building A is 490 feet tall and Building B is 754 feet tall. If the angle of depression from the top of Building B to the top of Building A is 46°, how far apart are the buildings?
Answer: [tex]254.94\ ft[/tex]
Step-by-step explanation:
Given
Building A is 490 feet tall and building B is 754 ft tall.
If the angle of depression from building B to the top of building A is [tex]46^{\circ}[/tex]
Difference in the height of the two buildings is [tex]754-490=264\ ft[/tex]
If the difference between them is [tex]x[/tex]
From the figure, we can write
[tex]\Rightarrow \tan 46^{\circ}=\dfrac{264}{x}\\\\\Rightarrow x=\dfrac{264}{\tan 46^{\circ}}\\\\\Rightarrow x=254.94\ ft[/tex]
Therefore, the two buildings are [tex]254.94\ ft[/tex] apart.
Mr. Deutsch ran 42 miles in 8 hours. What was his miles per hour?
Answer:
3 miles
Step-by-step explanation:
8 hours ----> 42 miles
1 hour
= 24 / 8
= 3 miles
So, His miles per hour is 3 miles.
Answer:Answer:
3 miles
Step-by-step explanation:
8 hours ----> 42 miles
1 hour
= 24 / 8
= 3 miles
Hope this helps
The length of a rectangular piece of
construction paper is 8 inches and the width
is 17 inches. Vincent folded the piece of
paper along its diagonal. Which
measurement is closest to the length of the
diagonal in inches?
A. 5 in.
B. 18.79 in
C. 15 in
D. 25 in.
Answer:
B 18.79
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
a shipement of 14 microwave ovens contains six defective units A vending company has ordered 4 of these units and selection will be random, what is the probability that all 4 units are good
Answer:
The probability that all 4 units are good is 10.66%.
Step-by-step explanation:
Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:
14 - 6 = 8
8/14 x 8/14 x 8/14 x 8/14 = X
0.5714 x 0.5714 x 0.5714 x 0.5714 = X
0.1066 = X
0.1066 x 100 = 10.66
Therefore, the probability that all 4 units are good is 10.66%.
To solve this system of equations by elimination you should begin by... x+y=10 2x-3y=6 A) adding the two equations together. B) multiplying the first equation by 2, then add them together. C)multiplying the first equation by 3, then add them together. D) subtracting the first equation from the second equation
Answer:
C. Multiply 1st equation by 3, then add together
Step-by-step explanation:
X+y=10
3(x+y)=3(10)multiply by 3
3x+3y=30 add to following equation
2x-3y=6
5x=36
In how many different
ways can 5 bicycles be
parked if there are 7
available parking
spaces?
pls pasagot
-8k-3-2k+7 need help asap
Answer:
-8k-3-2k+7
-10k+4
how to simplify?
(look for like terms)
What are simultaneous equations
Answer:
Simultaneous equations are equations involving two or more unknowns that are to have the same values in each equation.
Will mark brainliest!!
Identify the solid from its net
triangular prism
rectangular prism
triangular pyramid
rectangular prism
Answer:
triangular pyramid
Step-by-step explanation:
what is the area of triangle EDF?
Answer:
4.5
Step-by-step explanation:
∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.
Since they share the same proportions, the same operations can be performed on each base to find the area.
The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.
3*3 = 9
9/2 = 4.5
So the area is 4.5
i want to fined out the digree of polynomial 5 x^4 + 3 x^2 + 1
Answer:
4
Step-by-step explanation:
The degree of a polynomial is the highest degree of a monomial contained within the polynomial. The degree of the monomial is the sum of the exponents on the variables. Example, the degree of -4x^6y is 6+1=7.
Example, the degree of 4x^8 is 8.
So the degree of 5x^4 is 4.
The degree of 3x^2 is 2.
The degree of 1 is 0 since there is no variable in this expression.
So the degree of 5 x^4 + 3 x^2 + 1 is 4.
Find the value of y. 108 degrees 40 degrees. x, y, z, w
Answer:
[tex] \frac{108}{2 } = 54[/tex]
The value of y for the given circle will be 54°.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
The diameter is the longest line that can be drawn inside a circle.
In our daily life, we always see circle objects for example our bike wheel.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
In the given question by the circle theorem that if a curve makes a 2x angle then the extreme point will make the angle on circle as x.
So angle y = half of angle 108°
∠Y = 108°/2 = 54°
Angle w will also same as 54° because it also satisfies the theorem of the circle.
To learn more about the circle,
https://brainly.com/question/266951
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Question 4
1 pts
3. Aracelli has a class of kindergardeners. Each student gets a six oz cup of milk at
snack time. How many gallons of milk will she need to buy for a class of 23 students?
O 1.08 gallons
1.1 gallons
O 2 gallons
1 gallon
1 pts
Question 5
Answer:
There is a little over 1 gallon
Step-by-step explanation:
foods that build up the immune system
Answer:
1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.
Step-by-step explanation:
Answer:
Citrus fruits.
Red bell peppers.
Broccoli.
Garlic.
Ginger.
Spinach.
Yogurt.
Almonds.
Step-by-step explanation:
Which graph shows the line y = 4x - 2?
Answer:
Hi, there the answer is Graph A because the y-intercept and I did rise over run
Step-by-step explanation:
Hope this helps :)
Which statement about rectangles and rhombuses is always true?
Answer:
B
Step-by-step explanation:
B...............................
mark me the brainliest plzzzzzzzz
The statement about rectangles and rhombuses that is always true is that both figures are quadrilaterals.
What is a quadrilateral?A quadrilateral is a closed, two-dimensional shape which has four straight sides.
In other word, a quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.
Quadrilateral has four sides.
Rhombuses and rectangles have four sides. Therefore, they are both quadrilaterals.
learn more on quadrilateral here: https://brainly.com/question/10388790
Stephen is merging onto a highway. The increase in Stephen's speed for the first 8 seconds can be described by the function f(t)=t2+13t, where t is time in seconds. Which is the average rate of change of f(t) between t=2 and t=6?
Answer:
21m/s
Step-by-step explanation:
The average rate of change is expressed as;
A(t) = f(b) - f(a)/b-a
a = 2, b = 6
f(2) = 2² + 13(2)
f(2) = 4 + 26
f(2) = 30
f(6) = 6² + 13(6)
f(6) = 36 + 78
f(6)= 114
b- a = 6-2
b-a = 4
Substitute;
A(t) = 114 - 30/4
A(t) = 84/4
A(t) = 21
Hence the average rateof change is 21m/s
The point A(-6, 8) is reflected over the point (-7, 6) and its image is point B. What are the coordinates of point B?
Answer: The answer is (-8, 4)
Step-by-step explanation:
Josh currently bench presses 150 lbs. He increases that amount by 20% . How much can he bench press now? *
Answer:
180
Step-by-step explanation:
100%-> 150
1%->1.5
120%-> 180
Escribe en lenguaje simbólico las siguientes expresiones, teniendo en cuenta que llamamos x a la edad de María. La edad que tenía María hace 3 años. El doble de la edad que tendrá María dentro de 10 años. La tercera parte de la edad que tenía María hace 1 año.
Answer:
i don't know that language sorry
Step-by-step explanation:
find the range of the data 52 40 49 48 62 54 44 58 and 39 range is what
Answer:
Hi! The answer to your question is the range is 23
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62-39=23
VOCAB:
Minumum Data = Smallest Number
Maximum Data = Largest Number
Data Range = The set of y-values that a function passes through, Also the right coordinate in a coordinate pair.
In statistics, the difference between the largest number and the smallest numbers in a data set.
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Hope this helps!!
- Brooklynn Deka
PLEASE HELP IM BEGGING U
Answer:
c
Step-by-step explanation:
The equation of a parabola is y=x2–8x+14. Write the equation in vertex form.
Answer:
Step-by-step explanation:
y=x^2-8x+14
To write in vertex form, group the two x-terms to make a complete square, adjust the constant term accordingly
y = x^2-8x+16 -2
factor the first three terms on the right hand side
y = (x-4)^2 -2
This means that the vertex is at x-4 = 0, or x=4, and y=2.
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
∠ G ≈ 8.3°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan G = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{1.1}{7.5}[/tex] , then
∠ G = [tex]tan^{-1}[/tex] ([tex]\frac{1.1}{7.5}[/tex] ) ≈ 8.3° ( to the nearest tenth )
How would someone Algebraically determine X-Y intercepts?
Answer:
y-int: -6
x-int: -2/5 and 3
Step-by-step explanation:
you can find the y-intercept by substituting zero in for every 'x' in the equation;
y = 5(0) - 13(0) - 6
y = -6
to find the x-intercept(s), factor the trinomial by trying to find a pair of factors that multiply to 6 and add to -13; the factors that work are:
(5x + 2)(x - 3)
now set each factor equal to zero and solve for 'x':
5x + 2 = 0
5x = -2
x = -2/5
x - 3 = 0
x = 3
A bottle of juice is divided between 3 friends. Jason gets 1 third of the juice, Joseph gets 1 fourth of the bottle and Siswe gets a 5 over 12 ( 5 is the numerator and 12 is the denominator). By comparing the fractions, calculate who will get the most juice
Answer:
Siswe
Step-by-step explanation:
[tex]\frac{1}{3} = \frac{4}{12}\\\\\frac{1}{4} = \frac{3}{12}\\\\\frac{5}{12} =\frac{5}{12}[/tex]
Answer:
siswe gets more juice
Step-by-step explanation:
i hope this helps
You pay $3 per square foot for carpeting. Which equation can be solved to find the
amount you will pay to cover a triangular section of the floor with a base of 2 yards and
a height of 5 yards?
Answer:
3 * (½*2*5) = x
Step-by-step explanation:
Cost of carpeting = $3 per square foot
We have a triangular section to cover having the following dimensions:
base = 2 yd
height = 5 yd
First, let's find the area of the section = area of triangle
Area of triangle = ½*base*height
Area of the triangular section of the floor = ½*2*5
If $3 will cover 1 ft², therefore,
x will cover ½*2*5
Thus:
3 * (½*2*5) = x
Help!! Thank you so much
Answer:
336 cm²
Step-by-step explanation:
rectangle area:
b×h = 24×7,5=180 cm²
" " = 6,5×24=156 cm²
total area: 180+156=336 cm²
Here are the city gas mileages for 13 different midsized cars in 2008. 16, 15, 22, 21, 24, 19, 20, 20, 21, 27, 18, 21, 48 What is the first quartile?
Answer:
Q1 --> 18.5
Step-by-step explanation:
Work backward to solve.
What is the starting position (x, y)?