Answer:
The building is 64.6 feet tall.
Step-by-step explanation:
To determine the height of the building, let the height from the top of the building to the top of the tripod be represented by x. So that;
Height of the building = x + 5
But,
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]50^{o}[/tex] = [tex]\frac{x}{50}[/tex]
x = 50 x Tan [tex]50^{o}[/tex]
= 50 x 1.1918
= 59.59
x = 59.59
Height of the building = x + 5
= 59.59 + 5
= 64.6 ft
The height of the building is 64.6 feet.
Mr. Brady is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. Clue 2 says that Clue 3 is located 5 units south of the flagpole. N -4 -2 o N 4 6 X -2 -4 Plot the locations of the flagpole and the 3 clues on the coordinate grid and show the path students will follow with straight lines. Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 to Clue 3? Round to the nearest foot if necessary.
Answer:
The figure is attached and the total distance is 1031 feet.
Step-by-step explanation:
The graph is indicated in the attached figure.
For calculation of distance consider following
Point Flagpole is (0,0)
Point Clue1 is (0,5)
Point Clue2 is (6,0)
Point Clue3 is (0,-5)
So the distance is calculated as follows
[tex]d_{T}=[d_{FP\ to\ Clue1}+d_{Clue1\ to\ Clue2}+d_{Clue2\ to\ Clue3}]*distance\ per\ unit\\d_{T}=[\sqrt{(Clue1_x-FP_x)^2+(Clue1_y-FP_y)^2}+\sqrt{(Clue2_x-Clue1_x)^2+(Clue2_y-Clue1_y)^2}+\sqrt{(Clue3_x-Clue2_x)^2+(Clue3_y-Clue2_y)^2}]**distance\ per\ unit\\[/tex]Substituting the values
[tex]d_{T}=[\sqrt{(0-0)^2+(5-0)^2}+\sqrt{(6-0)^2+(0-5)^2}+\sqrt{(0-6)^2+(-5-0)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{(0)^2+(5)^2}+\sqrt{(6)^2+(-5)^2}+\sqrt{(-6)^2+(-5)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{0+25}+\sqrt{36+25}+\sqrt{36+25}]*50 \text{ feet}\\d_{T}=[\sqrt{25}+\sqrt{61}+\sqrt{61}]*50 \text{ feet}\\d_{T}=[5+7.81+7.81]*50 \text{ feet}\\d_{T}=[20.62]*50 \text{ feet}\\d_{T}=1031 \text{ feet}\\[/tex]
So the total distance travelled is 1031 feet.
easton is paid $418.96 weekly. what is his average monthly net, or take-home pay?
Answer:
293.27
Step-by-step explanation:
418.96 x .7 = 293.27
The four members of the Taylor family each buy an airplane ticket each member I had to pay an extra $30 fee for checking in luggage if the total cost of the trip is 540.50 what is the price of each plane ticket
Answer:
$105.13
Step-by-step explanation:
[540.50 - (4 x 30)]/4 = $105.125
Please I need help. The Median of a data set is 100. Which statement about the data set must be true?
A. The data set has an average of 100
B. Half the data values are greater than 100.
C. The minimum value is 80 and the maximum value is 120
D. Only one of the data points in the data set has a value of 100
Answer:The mean, or average, has the property that distances from the mean to the individual ... The measure of center where half the values of the data set lie above this ... The maximum value of a data set is 200 and the minimum value is 80. ... 25 b. 24 c. 100 d. 5 e. 120. e. 120. A factorial is the product of all number from 1 to n.
Step-by-step explanation:
Answer:
B. Half the data values are greater than 100.
Step-by-step explanation:
The median is just another way to say the number in the middle. So if in the whole group of numbers 100 is in the middle, that means that half of the numbers will be bigger than 100, and half of the numbers will be smaller than 100.
I need help with this question please
9514 1404 393
Answer:
y = -x -2
Step-by-step explanation:
The line crosses the y-axis at y = -2, so that is the y-intercept.
The slope is the ratio of "rise" to "run." The points on the graph show a "rise" of -3 for a "run" of 3.
m = rise/run = -3/3 = -1
Then the slope-intercept equation is ...
y = mx +b . . . . . slope m, y-intercept b
y = -x -2 . . . . . . . using m=-1, b=-2
John shared 3 cookies with 4 friends. What fraction of a cookie did each friend recieve?
Answer:
0.75 .................
giving brainliest !!!!!!!
Answer:
6 square inches
Step-by-step explanation:
6(1*1) = 6 in^2
Answer:
hi
Step-by-step explanation:
i think 6×1in²=6
i hope it is true
hope it helps
have a nice day
What is the area of this shape?
Answer:
720
Step-by-step explanation:
Please help I don’t understand
Answer:
6:5
Step-by-step explanation:
Step 1: we need to match the b portions of each ration, use a lcm calculator, we see that the least common factor of 1 and 2 is 2
Step 2: For our a:b ratio of 3:1 we need to multiply each portion of the ration by 2 divided by 1 is 2
2 times 3:2 times 1 = 6: 2 our new a b ratio
Step 3: for our bc ratio of 2: 5 we need to multiply each portion of the ratio by 2 divided by 2 equals 1
1 times 2: 1 times 5 = 2:5 our new b:c ratio
since the b portions of each ratio match, we just take a: c = 6:5
GOOD LUCK!
which equation has the solutions x equals 1 plus or minus the square root of 5
Answer:
d. x2 – 2x – 4 = 0
Step-by-step explanation:
I need Help please in this problem
Answer:
Answer the question yourself and stop being lazy!
Step-by-step explanation:
If the wholesale price of an item is $250 and the markup is 20%, find the retail price of the item. Please explain. Thank you.
Answer: 300
Step-by-step explanation:
20% of $250 is $50
So $300
In a walking competition, Marlinda was 15m ahead of Sandra Evliani. Marlinda steps 1m each time Sandra Elviani’s foot steps 0.8m. How many steps does Sandra Elviani have to make to match Marlinda?
Answer:
Given that in a walking competition, Marlinda was 15m ahead of Sandra Evliani, and Marlinda steps 1m each time Sandra Elviani's foot steps 0.8m, to determine how many steps does Sandra Elviani have to make to match Marlinda, the following calculation must be performed:
Since Sandra Elviani walks 0.8 meters for every 1 meter that Marlinda walks, and that she has an advantage of 15 meters in the competition, it is impossible that at that rate Sandra can reach her. This is so because for each step of Marlinda, Sandra will be 0.2 meters behind her, increasing the distance (1-0.8).
9, 14, 12,17,15, 20,18
what is the rule for the following pattern?
Given the first three terms of Geometric Sequence: 2b+2, b+4, b, where each of the tem is
positive, find
1) the value of b. (8)
ii) the first term and common ratio. (18,2/3)
(2009)
Answer:
1. b = 8
2. First term (T₁) = 18
Common ratio (r) = 2/3
Step-by-step explanation:
1. Determination of the value of b.
2b+2, b+4, b
First term (T₁) = 2b + 2
2nd term (T₂) = b + 4
3rd term (T₃) = b
The value of b can be obtained as follow:
Common ratio = T₂/T₁ = T₃/T₂
T₂/T₁ = T₃/T₂
(b + 4)/(2b + 2) = b/(b + 4)
Cross multiply
(b + 4)(b + 4) = b(2b + 2)
Expand
b(b + 4) + 4(b + 4) = b(2b + 2)
b² + 4b + 4b + 16 = 2b² + 2b
b² + 8b + 16 = 2b² + 2b
Rearrange
2b² – b² + 2b – 8b – 16 = 0
b² – 6b – 16 = 0
Solving by factorisation
b² – 8b + 2b – 16 = 0
b(b – 8) + 2(b – 8) = 0
(b – 8)(b + 2) = 0
b – 8 = 0 or b + 2 = 0
b = 8 or b = –2
Since each of the terms are positive, therefore, b is 8.
2. Determination of the first term and common ratio.
2b+2, b+4, b
First term (T₁) = 2b + 2
b = 8
First term (T₁) = 2(8) + 2
First term (T₁) = 16 + 2
First term (T₁) = 18
2nd term (T₂) = b + 4
b = 8
2nd term (T₂) = 8 + 4
2nd term (T₂) = 12
Common ratio (r) = T₂/T₁
First term (T₁) = 18
2nd term (T₂) = 12
Common ratio (r) = 12/18
Common ratio (r) = 2/3
hi, I need to send you a screenshot
Solve this question for brainlest
Answer:
multiply is your answer
mark brainliest please :D
square root 3 minus X Minus x squared is equals to x - 2
Step-by-step explanation:
I hope it helps I was just trying. if I'm wrong you can tell me I I will ask the people who are around me. wish you all the best.
pls help i dont have much time whoever answers correctly ill mark brainliest
What is the area of the trapezoid shown below?
Answer:
114 it think but maybe not
Step-by-step explanation:
a
If 20% of a number is 12, then what is 30% of the same number
Answer:
18
Step-by-step explanation:
0.2x = 12
Same as: 1/5x = 12
Multiply both sides by 5
x = 60
0.3 * 60 = 18
5th grade math. correct answer will be marked brainliest
PLS, HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF I KNOW IS A VIREIS.
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.
Write a question that could be answered by solving the equation 10−0.035d=4.
Answer:
After how many days will the tank need to be refilled?
Step-by-step explanation:
To answer our question, we first need to figure out what d represents. d is multiplied by 0.035, which is how much the water level decreases daily. Since it decreases daily, the overall amount it decreases depends on how many days have passed. It is logical then to deduce that d represents days (also days starts with d, so we know we're on the right track haha).
The equation equals to 4, the water level at which the tank must be refilled, so we know we are looking for d when the tank must be refilled.
What is the sum of one sixth and thrice of n
Answer:
9
Step-by-step explanation:
6+3 is 9
Answer:
what do you mean by thrice of n?
Step-by-step explanation:
Wouldn't we need to know what n equals?
What is the quotient of m and 11
2x + 8
2 + 3
7x + 21
.
x +4
Answer:
[tex]60x + 86[/tex]
Step-by-step explanation:
Identity the coterminal angle between 360° and 360° for the angle - 120°
No
Apply the distributive property to create an equivalent expression.
I will give brainiest but if you put a link i won't
9514 1404 393
Answer:
12e -6f -8
Step-by-step explanation:
The factor outside parentheses multiplies each term inside parentheses.
= (6e)(2) +(-3f)(2) +(-4)(2)
= 12e -6f -8
what is the poem Caged Bird about?
Can someone please help me!!!
Mrs. Crosland asked students to factor the expression 28x - 8. The students offered the answers shown in the box. Which student(s) offered answer(s) equivalent to the original expression? A. only Danny B. only Irene C. both Carlos and Danny D. both Carlos and Irene
Answer:
Step-by-step explanation:
I can't see the factorisation that the students did. That is, Danny, Carlos and Irene. You either forgot to upload, or you couldn't.
However, I will factorise the expression for you, while you check you book to know who did the exact same factorisation.
28x - 8
This equation can be factorised when divided by 2, into
2(14x - 4)
At the same time, it can be factorised when divided by 4, into
4(7x - 2)
Basically, either of the students who choose between 2(14x - 4) and 4(7x - 2) is/are whom you'd pick for your answer.