There is a pole located in a garden. The pole’s base is 4.5 feet west and
5.1 feet north of a brick that marks the entrance of the garden. A bird is
sitting on top of the pole. If the pole is 6 feet tall, approximately how far
is the bird from the brick that marks the entrance of the garden?
A. 6.8 feet
B. 7.5 feet
C. 7.9 feet
D. 9.1 feet
Answers
The distance between the bird and the brick is 7.5 feet. Hence the correct answer is B. It is to be noted that the question is an exercise relating to solving the sides of a right-angled triangle.
What is the formula for finding the sides of a right-angled triangle?
The formulas for finding the sides of a right-angled triangle are:
For Side A, a = [tex]\sqrt{ (c^{2} - b^{2} })[/tex]
For Side B, b = [tex]\sqrt{ (c^{2} - a^{2} })[/tex]
For Side C, c = [tex]\sqrt{ (a^{2} + b^{2} })[/tex]
In this case, base - b has been given as 4.5 feet;
the height - a of the pole has been given as 6 feet. Note that the portion due west is a trick addition that is irrelevant to the solution.
Hence, c is equaled: [tex]\sqrt{ (6^{2} + 4.5^{2} })[/tex]
= [tex]\sqrt{ ( 36+ 20.25 })[/tex]
= [tex]\sqrt{56.25}[/tex]
= 7.5 Feet.
See the link below for more about sides of a rectangle:
https://brainly.com/question/17005369
Related Questions
not sure if anyone can see this but can someone give me the answers i am super confussed and my teacher wont help me at all!
Answers
Okay so, to solve these problems what you're gonna want to do is substitute the given x and y values into the equation.
For example, number 7.
11(d-c) + 3(c+d), when c=6, d=9
if d=9, you will substitute the d in the problem to 9.
11(9-c) + 3(c+9)
if c=6 you will substitute c for 6.
11(9-6) + 3(6+9)
You can solve now that you have a simpler problem to work with.
11(9-6) + 3(6+9) first...
11(9-6) 11*9=99 11*-6=-66, so, 11(9-6)= 99-66= 33.
3(6+9) 3*6=18 3*9=27 18+27=45
33+45=78
Your answer for number 7 is 78.
Hope this helps, just do the same for the other problems like this one.
Make x the subject !!!!!! Please
Answers
Answer:
x = [tex]\frac{1-by}{y-a}[/tex]
Step-by-step explanation:
y = [tex]\frac{ax+1}{x+b}[/tex] ← multiply both sides by (x + b)
y(x + b) = ax + 1 ← distribute parenthesis on left side by y
yx + by = ax + 1 ( subtract ax from both sides )
yx - ax + by = 1 ( subtract by from both sides )
yx - ax = 1 - by ( factor x out of each term on the left side )
x(y - a) = 1 - by ← divide both sides by (y - a)
x = [tex]\frac{1-by}{y-a}[/tex]
Answer:
Step-by-step explanation:
1. Eliminate fractions by multiplying both sides of this equation by x + b:
y(x + b) = ax + 1
2. Perform the indicated multiplication: xy + yb = ax + 1
3. Group together the x-terms xy - ax = 1 - yb, or x(y - a) = 1 - yb
1 - yb
4. Divide both sides by (y - a): x = ----------------
y - a
A student was asked to simplify the expression 2(x+3)+(4x−8)−7x .
Answers
Answer:
-x -2
Step-by-step explanation:
1- Apply the Distributive Property
2- Calculate the product or quotient
3- Determine the sign
4- Reorder and gather like terms
Collect coefficients of like terms
Calculate the sum or difference
Help me please I need help
Answers
Answer:
Step-by-step explanation: you need to dived by3000
a = 12, b = 16, c = ?
b) a = 15, b = ?, c = 18
c) a = ?, b = 6, c = 15
d) a = 4.1, b = 3.3, c = ?
e) a = ?, b = 6.5, c = 12.2
Answers
a) c = 20
b) b = 16.5
c) a = -3
d) c = 2.5
e) a = 0.8
There are not enough information on these sequences, so I will just do them base on the difference of the numbers.
Plz help
due today at 12:30pm
Answers
Answer:
Step-by-step explanation:
4 plus 8 is 12 plus 5 is 17. then add the months 5 plus 6 is 11 plus 8 is 19, 19 is one year and 7 months so the answer is 18 years old and 7 months.
Answer: 18 years and 7 months
Step-by-step explanation:5+8+4= 17 and 8+6+5= 19
17 years and 19 months aka 18 and 7 months
The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both. A 4-column table with 3 rows. The first column has no label with entries cantaloupe, not cantaloupe, total. The second column is labeled watermelon with entries 93, 66, 159. The third column is labeled not watermelon with entries 16, 25, 41. The fourth column is labeled total with entries 109, 91, 200. Which is the marginal relative frequency for the people who do not like cantaloupe? StartFraction 25 Over 91 EndFraction StartFraction 66 Over 200 EndFraction StartFraction 91 Over 200 EndFraction StartFraction 66 Over 91 EndFraction.
Answers
Answer: 91/200
Step-by-step explanation: i got it right on the quiz.
Answer:
C
Step-by-step explanation:
A sprinter in a 100 dash accelerates uniformly from rest reaching a top speed of 14.7 m/s after 6.00 seconds. He then runs at constant speed for the remainder of the race.
B. How far did he travel in the first phase of the race?
Answers
I assume "first phase" refers to the first 6.00 seconds of the dash.
Since the sprinter starts from rest and accelerates uniformly, he covers a distance x after time t of
x = 1/2 at²
where a is his acceleration.
The sprinter's velocity v after time t is
v = at
so that if he attains a speed of 14.7 m/s after 6.00 s, he does so with acceleration a such that
14.7 m/s = a (6.00 s) ⇒ a = 2.45 m/s²
Then in the first 6.00 seconds, the sprinter travels
x = 1/2 (2.45 m/s²) (6.00 s)² = 44.1 m
Write a whole number that rounds 2000 if we round it to the nearest hundred
Answers
Answer:
1,995 would round to 2,000
Step-by-step explanation:
1,995 is 5 away from 2,000 so if you were rounding to the nearest hundred 2,000 would be it
which expression represents the expression 20x-10 after it has been factored completely? SHOW ME WHAT YOU DID
A. 2(10x-5)
B. 2(2x-1)
C.10(20x-10)
D. 10(2x-1)
Answers
Answer:
it is A and D
Step-by-step explanation:
A. 2 * 10x is equal to 20x
and then 2 * 5 is equal to 10
so the answer is 20x-10
D. 10 *2x is equal to 20x
and then 10 * -1 is equal to -10
so the answer is 20x-10
What is the answer to this the bed first answer will get five stars and the crown
Answers
Answer:
3
Step-by-step explanation:
24*2^-3
2^-3=0.125
24*0.125=3
Hope this helps!
Answer this correctly please
Thank you so much^^
Answers
Step-by-step explanation:
40% of 60= 24 boys80% of 35= 28 games
A scale model of a buliding is 24 inches tall. The actual building is 180 feet tall. What is the scale factor of the model?
Answers
Answer:
1 inch = 7.5 feet.
Step-by-step explanation:
24 divided by 24 equals 1. 180 divided by 24 equals 7.5
64x-16 I need 3 equivalent expressions
Answers
Answer:
8 (8x - 2)
(64) x X - 16
4 (16 x- 4)
Step-by-step explanation:
Factor 27b–12.
Its ixl for 7th grade
Lesson name Factor of linear expressions letter r
Answers
You divide each by 3 because of common factor you can message me for more math help if you need!!
Please like and brainiest
Colletta decides to do a savings plan where she doubles the amount of money each day. Starting on day 1 she saves $1, on day 2 she saves $2, on day 3 she saves $4, on day 4 she saves $8 and so on.
a. Is the money saved a function of the number of days? Explain your reasoning.
b. Is the relationship linear? Explain your reasoning.
100 POINTS TO ANYONE WHO CAN ANSWER IT CORRECT
Answers
Answer:
a. yes the money is a function the function is x = days
2^(x-1)
b. no its not it will go up by more and more every day a linear equation would mean it goes up by the same amount each day which it does not
Hope This Helps!!!
How do I solve 6x-15+53=11x-12?
Answers
Add the numbers
6
−
1
5
+
5
3
=
1
1
−
1
2
6
x
−
15
+
53
=
11
x
−
12
6
+
3
8
=
1
1
−
1
2
6
x
+
38
=
11
x
−
12
2
Subtract
3
8
38
from both sides of the equation
3
Simplify
Solution
: x=10
HELP ME FAST I ONLY HAVE 5 MINS LEFT Wanda created the poster shown below:
A rectangle is shown. The length of the rectangle is labeled as length equal to 32 cm, and the width is labeled as width equal to 36 cm.
What would be the dimensions of the poster at fraction 1 over 4 times its current size? (5 points)
Length = 28 cm, width = 32 cm
Length = 128 cm, width = 144 cm
Length = 8 cm, width = 9 cm
Length = 36 cm, width = 40 cm
Answers
Length=8cm and width=9cm
Answer:
the correct answer is 8:9 or C.
the sum of the digits of a two digit number bis 14 if 36 is subracted from the number the place of the digits are reversed find the number
Answers
9+5 =14
95-36= 59
59 reversed is 95
There are two different packets of the same type of paper in a shop.
400 sheets
150 sheets
Small
75p
Regular
£2.08
Which of the two packets gives the better value for money?
You must show your working.
Answers
what is the value of x
Answers
Answer:
x=180-95-57 (sum of triangle)
or,x=28
Step-by-step explanation:
Answer:
x = 27
Step-by-step explanation:
solving similarities using equations:
→[tex]\frac{CD}{QD} = \frac{RD}{BD}[/tex]
→ [tex]\frac{x}{39} = \frac{18+x}{26+39}[/tex]
→ [tex]\frac{x}{39} = \frac{18+x}{65}[/tex]
→ 65(x) = 39(18+x)
→ 65x = 702 + 39x
→ 65x - 39x = 702
→ 26x = 702
→ x = 27
Lisa flipped a coin 50 times and got a head 20 times. What was the experimental probability of flipping a heads? what is the theoretical probability of flipping a heads?
Answers
Answer:
2/5 (or 0.4)
Step-by-step explanation:
There was 50 flips, that's the total. #/50
Head was 20 times, that's the answer we're looking for. 20/50
20/50 Simplified is 2/5 (or 0.4)
What is the distance between the points (-2.5,6.5) and (2.5,6.5)
Answers
Answer:
5 units
Step-by-step explanation:
The two points have the same y-coordinate so are on a horizontal line. The distance between them is the difference of their x-coordinates:
2.5 -(-2.5) = 2.5 +2.5 = 5.0
The distance between the points is 5 units.
Suppose you have 12 chips, each a different color. How many different stacks of 5 chips can you make
Answers
Answer:
2
Step-by-step explanation:
i am not sur but 12 5 = 2?
A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meters each to tie some presents. He then used the remaining ribbon to make some wreaths. Each wreath required 0.6 meter
Answers
Answer:
I dont understand what the question is but
diego used 3.6 meters for the presents
and was able to make 14 wreaths
Step-by-step explanation:
9 x .4 = 3.6
12-3.6=8.4
8.4/.6=14
Ana wished to compute for the average speed of a moving bus on a straight line highway, She noted the distance covered. What other quantity should she record?
A. Acceleration
B. Direction
C. Time
D. Velocity
Answers
The other quantity needed to calculate the average speed is time.
What is average speed?
Average speed is the total distance travelled per time. It is how fast an object moves with respect to time.
Average speed = total distance / total time
For example, if the distance travelled is 100km and the total time is 10 hours, average speed is 10 km/hr (100 / 10).
To learn more about average speed, please check: https://brainly.com/question/21734785
Describe how to determine f(x) and g(x) when x=5
Answers
Answer:
243 and 394
Step-by-step explanation:
f(x) is the exponential as its values increase by 3 every hour, then
when x = 5
f(5 ) = 81 × 3 = 243
---------------------------
g(x) is linear as there is a common difference between consecutive values of + 3 , then
when x = 5
g(x) = 391 + 3 = 394
Pardis recently deposited $5,000 in a savings account that pays a return of 2 percent per year. Explain why her investment will grow over the years. What opposing force will impact the value of her investment?
Answers
Answer:
Her investment will grow over the years due to the 2 percent interest. Inflation will impact the value of her investment
For the given data. the simple interest will be $100.His investment will grow over the years. Because of the simple interest.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
It is given that, Pardis recently deposited $5,000 in a savings account that pays a return of 2 percent per year.
Principal = $5,000
Rate= 2%
Time= 1 year
SI = (P×R×T)/100
SI = (5000×2×1)/100
SI=100
Thus, for the given data. the simple interest will be $100.His investment will grow over the years. Because of the simple interest.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ5
8 4/5 - 2/3 - ? = 3 1/10
Answers
Answer: 5 1/30
Step-by-step explanation:
8 + 4/5 - 2/3 - 3 - 1/10 = 5 + 1/30
Date
Selling Cars
Solving One-Step Equations
The Media Store runs a promotion in July to increase summer business. They take $2 off of
every DVD in the store. Complete the table below.
Sale Price
Regular Price
$17
Movie
Speed XXIV
The Furious and the Fast
Planet Wars
Saturday the Fourteenth XIII
$12
$19
$6
1. How did you find the sale price, given the regular price? Use a complete sentence to
explain your answer.
2. Write an expression to represent the sale price, given the regular price.
Use any method to solve each equation.
3. X + 33 = 97
4. 7 + x = 24
Answers
Answer:Computer Store sells DVDs for a day = 110
No. of days the store works = 266
No. of DVDs saled in 266 days = 266 days x 110DVDs
= 29,260 DVDs
Step-by-step explanation: