Step-by-step explanation:
Let label this using a triangle.
We are sitting 300 ft away from the building.
We can look up to see the top of building at an angle of 60 degrees. So 60 degrees would be near where we standing at. The other angle of the top triangle would be 30 since that the height of building and the ground horizon is perpendicular to each other so they measure 90 degrees. Using triangle interior theorem, the missing angle would be 30.
We use another triangle since we are looking down.
The height of building and where we sitting at is perpendicular. The angle near we at would measure 15 and the missing angle would be 75.
The triangles both combine to form one triangle. They would form a isoceles triangle.
The most bottom angle of the triangles measure 75 while the angle where we are at of both triangle measure 75. so we have a isoceles triangle.
This means that the hypotenuse of the top triangle is equal to the length of the building.
To find the hypotenuse use 30-60-90 rules,
hypotenuse =twice of most shortest side.
[tex]h = 300 \times 2[/tex]
[tex]h = 600[/tex]
So the length of the building is 600.
Find the value of 7xº - (6x)".
A rectangular goat pen has an area of 32 square meters and a perimeter of 24 meters. What are the dimensions of the pen?
Answer:
Breadth is 4 m and length is 8m
Step-by-step explanation:
Area of the rectangle = Length * breadth
Area of the rectangular goat pen= 32 square meters
Perimeter of the rectangular goat pen = 24 meters
Perimeter of the rectangle = 2(length + breadth)
24= 2(l+b)
12= length + breadth
12- breadth = length ----------- equation A
Area = l*b
32= l*b
32= (12- b) *b
32= 12b- b²
b²-12b+32= 0------------------- equation B
Solving the quadratic equation by factorization
b²- 8b- 4b+32= 0
b(b-8) -4(b-8)= 0
(b-8) = 0
(b-4)= 0
b= 8 or b=4
As breadth is usually smaller than length then putting b= 4 in equation A
gives
12- breadth = length
12-4= length
length = 8
Hence breadth is 4 m and length is 8m
The area of a rectangle is 48 cm2 and the length of the rectangle is 8 cm longer then the width. The area of a rectangle is found by multiplying the length times the width. During the set up step of the five step problem solving plan, which equation would you set up fto solve for the width
Answer:
Answer is 4 by 12 cm
Step-by-step explanation:
A- {(-4, -3), (2, 2), (2, 1), (0, 3), (-2, 4}
B- {(-3, -4), (2, -2), (2, 1), (3, 0), (4, -2)}
C- {(-3, -4), (-2, 2), (2, 1), (3, 0), (4, -2)}
D- {(-3, 4), (-2, -2), (1, 2), (3, 0), (4, 2)}
Answer:
C
Step-by-step explanation:
The first point would be (-3,-4) which means A and D are eliminated.
The second point is (-2,2) which means you are left with C which is the correct answer
Is 3x + 2y = 6 a function??
A. No, the equation is not a function; there is an x-value that produces two distinct y-values.
B. Yes, the equation is a function; the graph of the line passes the vertical line test.
C. Yes, the equation represents a function because there is both an x and a y.
Answer:
B :)
Step-by-step explanation:
The amount Sandy earns from babysitting is proportional to the number of hours she works. The graph represents this proportional relationship. A. Explain what the point (0, 0) represents in the context of this problem. Write your answer in the space provided.
PLEASE HELP
Answer:
The amount Sandy earns from babysitting is proportional to the number of hours she works. The graph represents this proportional relationship.
Step-by-step explanation:
Answer:
The student explains that the ordered pair (0, 0) means that when Sandy
babysits for zero hours, she earns zero dollars
Step-by-step explanation:
If the pointer in the figure is spun twice, find the probability that the pointer lands on yellow (Y) both spins.
Step-by-step explanation:
The school nurse took care of five students on Monday and four of the five students had a cough. The school nurse determined that 80% of the students in her school were coming down with colds. Which of the following would best describe why her conclusion was invalid?
Answer:
It is not valid because she only saw 5 students and that's not a large enough sample for the whole school.
Step-by-step explanation:
While 4/5 IS 80%, the nurse assumed that 80% of ALL of the students in the school were coming down with colds. This is not true since only 4 students had colds. If she were specific and said that 4/5 students who visited her on Monday were 80% coming down with colds, she'd be right. But she isn't since she's assuming it's 80% of the whole school's population of students.
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to thegym. Which equation matches this situation?
Answer:
50+20x=290 or 50+(20x12)=290
Step-by-step explanation:
Answer:
50 + 20m = 290
Step-by-step explanation:
The answer is 50 + 20m = 290, because Jim paid a membership fee that was $50. Then each month he paid $20 because of his new membership. Jim never paid $50 a month, that was only his starter fee, but then gradually paid $20 every month so it would be 20m. Hope this helped.
the solution set for an inequality refers to
Answer:
Step-by-step explanation:
A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality. Example: Solve 2x + 3 ≤ 7, where x is a natural number.
Kailey wrote 8,912,000 in scientific notation as 89.12 times 10 Superscript 5. Which statement best describes Kailey's work?
Answer:
Could You Please Explain More?
Step-by-step explanation:
A line with a slope of 5 passes through the point (1,9). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 5x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5, then
y = 5x + c ← is the partial equation
To find c substitute (1, 9) into the partial equation
9 = 5 + c ⇒ c = 9 - 5 = 4
y = 5x + 4 ← equation of line
(Someone please)
Joshua’s entire workout consisted of 10 minutes of warm-up exercises, 25 minutes of lifting weights, and 15 minutes on the treadmill.
What was the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout?
A. 1:1
B. 1:2
C. 3:10
D. 5:8
Answer:
Its A
Step-by-step explanation:
Pls help me I’m stuck rn in
Answer:
Rhombus
Step-by-step explanation:
A rhombus is basically just stretched out
Answer:
square or rhombus
Step-by-step explanation:
one of the two
What is the slope of the line that passes through the points (-2, -5) and (6, 7)? A.3/2 B.2/3 C.-3/2 D.-2/3
Answer:
3/2
Step-by-step explanation:
y2 - y1/ x2 - x1
7 -(-5) / 6 - (-2)
12/ 8
3/2
In Mr. Hamilton's classroom, there are 16 supply boxes in the cabinet. Each supply box
contains the same number of markers, and there are 192 markers in all. Let m be the
number of markers in each supply box. Write and solve an equation to find m.
Answer:
12
Step-by-step explanation:
192/16=12
how do you solve for x
the similarity statement is abc~ xyz
Answer:
m<X= 36.87 degrees
Step-by-step explanation:
Since the triangle abc and xyz are similar, hence;
m<C = m<Y
90 = x - 5
Add 5 to both sides
90+5 = x-5+5
95 = x
Swap
x = 95
m<Y = x - 5
m<Y = 95 - 5
m<Y = 90
Find m<X
Using the SOH CAH TOA
Opposite to m<X = YZ = 6
Adjacent = 8
Tan M<X = opp/adj
Tan m<X = 6/8
m<X = arctan(6/8)
m<X= 36.87 degrees
Find a common denominator for the pair of fractions. Then, write equivalent fractions with the common denominator.
7/12 and 1/3
common denominator is 12
what is an equivalent fraction to 7/12?
please simplify (4x^2) ^3
Answer:
64x^6
Step-by-step explanation:
4x^2 x 4x^2 x 4x^2
16x^4 x 4x^2
64x^6
find the 12th term of the geometric sequence 5,20,80
Answer:
20971520
Step-by-step explanation:
Thank me later
If a toy truck is created in a 2:9 scale, and the wheel of the toy is 14cm wide, how wide is the actual wheel?
Answer:63 cm
Step-by-step explanation:
Given
The scale of creation is 2:9
The width of the toy wheel is 14 cm
Suppose x is the actual width of the truck
[tex]\therefore \dfrac{2}{9}=\dfrac{14}{x}\\\\\Rightarrow x=\dfrac{9}{2}\times 14=63\ cm[/tex]
Thus, the width of actual truck is 63 cm
Help me and I’ll thank you
Answer:
-9
Step-by-step explanation:
The question is just asking you to find for what y-value is x -3
Select the expression that has a value of 28. (4 points)
Group of answer choices
8 + (4 x 6) ÷ 2 + 7
8 + 4 x 6 ÷ (2 + 7)
(8 + 4 x 6) ÷ 2 + 7
(8 x 4) + 6 ÷ 2 − 7
Answer:
(8 + 4 × 6) ÷ 2 + 7
Step-by-step explanation:
8 + (4 × 6) ÷ 2 + 7 = 27
8 + 24 ÷ 2 + 7
8 + 12 + 7
27
8 + 4 × 6 ÷ (2 + 7) = [tex]10\frac{2}{3}[/tex]
8 + 4 × 6 ÷ 9
8 + 24 ÷ 9
[tex]8 + 2\frac{2}{3}[/tex]
[tex]10\frac{2}{3}[/tex]
(8 + 4 × 6) ÷ 2 + 7 = 23
(8 + 24) ÷ 2 + 7
32 ÷ 2 + 7
16 + 7
23
(8 × 4) + 6 ÷ 2 − 7 = 28
32 + 6 ÷ 2 - 7
32 + 3 - 7
35 - 7
28
Answer:
D
Step-by-step explanation
D
D
A farmer has 20 bins of apples. Each bir
has 25 red apples and 30 green apples.
Which of the following expressions can
be used to find the total number of
apples in all the bins?
Answer:
1100
Step-by-step explanation:
you have to do 25+30=55 then 55x20=1100
what does Actual - Predicted =?
Answer:
Step-by-step explanation:
is 8x+2x equivalent to 8+2x?
Answer:
As long as I know if it's not the same then its not equal, because if you solve it they will give you different answers.
Equation C: y = 6x + 9 Equation D: y = 6x + 2 How many solutions are there to the given set of equations?
Answer:
No solution
Step-by-step explanation:
Equation C :
y = 6x + 9
Equation D :
y = 6x + 2
By comparing both the equations with slope-intercept form of the equation,
y = mx + b
Where, m = Slope of the line
And b = y-intercept
Slopes of both the lines C and D are common as 6,
Therefore, both the lines will be parallel.
And the set of parallel lines has no solution.
Therefore, given set of equations have no solution.
Please helllppp will give lots of points!!!!
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2. is 1/3
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I hope this helped
Which could be the graph of y = -3(x + 1)2 + 2?
(-1,2)
A
D.
(-1,2)
fo
(-1,2)
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E.
(1, -2)
C.
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Thandi received 15% discount on a dress that costs R1500. How much did she
pay?
Answer:
She paid $1,275.00.
Step-by-step explanation:
I'm assuming you meant $1,500, so I'll be using that.
You can figure this out by subtracting 15% of 1,500 from 1,500.
15% of 1,500 is 225.
1500-225=1275
Therefore, 15% off of $1,500 is $1,275.