Answer:
3,645.7mStep-by-step explanation:
The set up will give a right angled triangle;
altitude (opposite side ) = 1700m
angle of depression = 25degrees
Required
distance from the plane to the rock (adjacent side)
Using the SOH, CAH, TOA identity;
According to TOA
tan 25 = opposite/adjacent
tan25 = 1700/adj
adj = 1700/tan 25
adj = 1700/0.4663
adj = 3,645.72m
Hence the distance from the plane to the rock to 1 dp is 3,645.7m
Will give brainliest if correct
Answer:
the answer is 122.29 ......
NEED HELP FAST:
Which mixed number is equivalent to the improper fraction?
35/6
A. 5 1/5
B. 5 5/6
C. 5 1/6
D. 6 5/6
Answer:
B- 5 5/6
Step-by-step explanation:
35 divided by 6 is 5 meaning there are 5 whole numbers in the fraction you then figure out how many 6 the remaining amount is which in this case is 5 so the answer is 5 5/6 hope this helps!
Determine whether the lines given are parallel, perpendicular, or neither
2x+7y=28
7x-2y=4
Answer, please.
Answer:
The answer is that these equations are perpendicular
Step-by-step explanation:
They have the different slopes and y-intercepts
y = -2/7x + 4
y = 7/2x - 2
pls mark me as brainliest
The given lines 2x + 7y = 28 and 7x - 2y = 4 are perpendicular to each other.
Used the concept of slope of two lines that states that,
The relation between the slope of two perpendicular lines m₁ and m₂ is,
[tex]m_1 \times m_2 = - 1[/tex]
And, the relation between the slope of two parallel lines m₁ and m₂ is,
[tex]m_1= m_2[/tex]
Given that,
The equation of lines is,
2x + 7y = 28
And, 7x - 2y = 4
Now change the equation of a line in slope-intercept form as
[tex]2x + 7y = 28[/tex]
[tex]7y = 28 - 2y[/tex]
Divide both sides by 7,
[tex]y = \dfrac{- 2}{7}x + 4[/tex]
So, the slope of the line = - 2/7
From the second equation,
[tex]7x - 2y = 4[/tex]
[tex]7x - 4 = 2y[/tex]
[tex]2y = 7x - 4[/tex]
Divide both sides by 2,
[tex]y = \dfrac{7}{2}x - 2[/tex]
So, the slope of the line = 7/2
Hence, the relation between both of the slopes is,
[tex]\dfrac{- 2}{7} \times \dfrac{7}{2} = - 1[/tex]
Therefore, both of the given lines are perpendicular.
To learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ6
ACTIVITY 1
DIRECTIONS:
A. Write the fraction or mixed number as a terminating or re-
peating decimal.
1. 1/2
2. 5/6
3. 213
B. Write the terminating decimal as fraction or mixed number i
simplest form.
1. 0.6
2. 1.25
3. 0.125
pleaseeee answer this
Answer:
Question A:
1. 1/2 = 0.5 (Terminating)
2. 5/6 = 0.833333.. (Repeating)
3. 21/3 = 1.6666666.. (Repeating)
Question B:
1. 0.6 = 3/5
2. 1.25 = 5/4 = 1 1/4
3. 0.125 = 1/8
Step-by-step explanation:
A. Write the fraction or mixed number as a terminating or repeating decimal.
In order to convert a fraction into decimal, the numerator has to be divided by denominator.
1. 1/2
The answer is: 0.5 which is a terminating decimal.
2. 5/6
The answer is: 0.833333.. which is a repeating decimal.
3. 2 1/3 (assuming the question is this)
[tex]2\frac{1}{3} = \frac{7}{6} = 1.6666666..[/tex]
The answer is 1.6666666.. which is a repeating decimal.
B. Write the terminating decimal as fraction or mixed number i n simplest form.
1. 0.6
[tex]0.6 = \frac{6}{10} = \frac{3}{5}[/tex]
2. 1.25
[tex]1.25 = \frac{125}{100} = \frac{5}{4} = 1\frac{1}{4}[/tex]
3. 0.125
[tex]0.125 = \frac{125}{1000} = \frac{5}{40} = \frac{1}{8}[/tex]
Hence,
Question A:
1. 1/2 = 0.5 (Terminating)
2. 5/6 = 0.833333.. (Repeating)
3. 21/3 = 1.6666666.. (Repeating)
Question B:
1. 0.6 = 3/5
2. 1.25 = 5/4 = 1 1/4
3. 0.125 = 1/8
Solve for x:
3/4x + 2 = 29/4
Answer:
x = 7
Step-by-step explanation:
taehyung is a good boy
Gabe rounds 9.456 to the nearest hundredth. Then, he rounds the result to the nearest tenth. Last, he rounds that result to the nearest integer. If Angel rounds 9.456 to the nearest integer, what is the absolute difference between Gabe's and Angel's final results?
Answer:
390
Step-by-step explanation:
.
-2(-5x+5) - 3x + 4= -34 solve for x
Answer:
x = -4
Step-by-step explanation:
-2(-5x+5) - 3x + 4= -34
10x - 10 -3x + 4 = -34
7x - 6 = -34
+6 + 6
7x = -28
x = -4
Answer:
x = -4
Step-by-step explanation:
- distribute -2 by multiplying it with the paranthesis
-2*(-5x) + -2*(5) - 3x + 4 = -34
10x - 10 - 3x + 4 + 34 = 0
7x + 28 = 0
x = -28/7
x = -4
A company issues $90,000 of 5%, 5-year bonds dated January 1 that pay interest semiannually on June 30 and December 31 each year. If the issuer accepts $95,000 for the bonds, the issuer will record the sale with a (debit/credit) ______ to (Discount/Premium) ______ on Bonds Payable in the amount of $5,000.
Answer:
The issuer will record the sale with a CREDIT to PREMIUM on Bonds Payable
Step-by-step explanation:
Based on the information in a situation where the company issues the amount of $90,000, 5year bonds in which interest are been paid semiannually on both June 30 as well as December 31 which means that if the issuer accepts the amount of $95,000 for the bonds, the issuer will have to record the sale with a CREDIT to PREMIUM on Bonds Payable in the amount of $5,000 calculated as : ($95,000 bonds-$90,000 bonds).
PLEASE ANSWER URGENT!!!!!!!!!!
Answer:
A (i'm not sure i might be wrong so just wait until another person answers)
Please help is this wrong? If it is please explain!
Answer:
Step-by-step explanation:
Your good, your right
Please help!! Use the coordinates of the plotted points to complete the calculation below. Pay attention to negative signs!! What is the slope??
Answer:
-1
Step-by-step explanation:
Use the formula for slope: (y1-y2)/(x1-x2)
(2-4)/(3-1)=-2/2=-1
Answer:
-1
Step-by-step explanation:
Which linear equations have one solution? Check all that apply. 5x - 1 = 3(x + 11) 0.4(x-2) + 4x = 8(x-9) O 4(x - 6) + 4 = 2(x - 3) 2(x-4) = 5(x-3) + 3 2(x - 1) + 3x = 5(x - 2) + 3
need help, just say which answers are correct plz
Answer:
1, 3, 4 is the answer
Step-by-step explanation:
just did it on edge
9
7. A line has a slope of. If one of the points on the line is
(-10,-16), which of the following could be another point on the
line?
O A. (-5, -6)
B. (4,11)
C. (0,2)
O D. (10,22)
Answer: 4,11
Step-by-step explanation:
explain why the solution -3x + 3 = -9 at the right is incorrect
Answer:
mark as brainliest pls
Enter the value for x that makes the following equation 6(x – 2) + 2x = 36 true
A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $870 on equipment, and 13% of the total budget on props. What was the total budget for their student film?
Answer:
$1000
Step-by-step explanation:
Let us represent the total budget of the film as: x
The amount spent on equipment = $870
The amount spent on props = 13% of x
Total budget = Amount spent on equipment + Amount spent on props
Hence
x = $870 + 13% of x
x = 870 + 0.13
Collect like terms
x - 0.13 = 870
0.87x = 870
Divide both sides by 0.86
x = 870/0.87
x = $1000
Therefore, the total budget for their student film is $1000
Answer:
the answer is 1000
Item 15 Your math class is collecting canned food for a local food drive. The goal is to collect at least 130 cans but no more than 250 cans due to space limitations. There are 24 students in your math class and your teacher has promised to bring in 10 cans. Select which inequalities represent the possible numbers $n$ of cans that each student should bring in.
For this case, the first thing we must do is define variables.
We have then:
n: number of cans that each student must bring
We know that:
The teacher will bring 5 cans
There are 20 students in the class
At least 105 cans must be brought, but no more than 205 cans
Therefore the inequation of the problem is given by:
Answer:
105 < 20n + 5 < 205
the possible numbers n of cans that each student should bring in is:
105 < 20n + 5 < 205
Destiny paid $6.60 for a dozen cupcakes for a birthday party. What is the unit cost for each cupcake?
$0.33
$0.44
$0.55
$0.66
Answer:
e e enene
Step-by-step explanation:
enenenee
Answer:
.55
Step-by-step explanation:
6.6/12 is .55
hope that helps :)
A cylinder in a cone have the same diameter 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches. Use n equals 3.14. What is the relationship between the volume of the cylinder in this cone? Explain your answer by determining the volume of each and comparing them. Show all of your work.
I got this right on my test. Hope this helps.
what is the slope of this equation? y=8-x
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = 8 - x[/tex]
[tex]y = - x + 8[/tex]
[tex]y = - 1x + 8[/tex]
[tex]Slope = coefficient \: \: of \: \: x [/tex]
Thus :
[tex]Slope = - 1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Please help me with this
Answer:
68
Step-by-step explanation:
please help me i have a limited amount of time
Answer:
Its graph A. the equation passes through points -3 and 4
its just a line :)
____________________________
Answer:
ok
Step-by-step explanation:
An energy _________________ occurs when energy changes from one type to another type.
A) increase
B) conversion
C) transformation
D) form
Answer:
transformation
Step-by-step explanation:
this is when one form of energy forms into another form, and it can be transferred into a new object or location
The perimeter of a triangle is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle. Help please
Shorter side = 9 cm
Question:The perimeter of a rectangule is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle.
Let:Length rectangle be a.Width of rectangle be b.To find?Length of the shorter side of the rectangle.Given:Perimeter of rectangle = 44cmArea of rectangle = 117cm²Answer :A/Q
Perimeter of rectangle = 44cm
We know:
p=2(L+B)
.°. ⇒44 =2(a+b)
⇒44 /2 =a+b
⇒22=a+b
So:
a=22-b
b=22-a
Now Let's put values in formula of Area
A/Q
Area of rectangle = 117cm²
We know:
Area =L×B
.°.117=ab
Put value of b in this equation
⇒117=a(22-a)
⇒117=22a-a²=0
⇒a-22a²+117=0
⇒(a- 9)(a- 13) = 0
.°. a=9
a=13cm
Let's put value of a as 13 to find b
⇒b=22-a
⇒b=22-13
⇒b=9cm
So the side having 9cm is shorter i.e. b
pls help ILL GIVE BRAINLIST
Answer:
f
Step-by-step explanation:
maybe I hope it helps :)
Answer:J
Step-by-step explanation:
27/3=9-3=6
27/9=3+3=6
6=6
St boniface Hospital raises funds for research through its annual dinner and Gala event.For this event 353 tickets are available for purchase in total.A single ticket is sold for $92 and a family ticket is sold $122 this year the event sold out with sales of 39946 as the marketing manager ,wants to know how many family tickets were purchased
Given:
Total number of tickets = 353
Single ticket = $92
Family ticket = $122
Total sales = $39946
To find:
The number of family tickets.
Solution:
Let x be the number of single tickets and y be the number of family tickets.
Total tickets: [tex]x+y=353[/tex] ...(i)
Total sales: [tex]92x+122y=39946[/tex] ...(ii)
Multiply (i) by 92 and subtract the result from (ii).
[tex]92x+122y-92(x+y)=39946-92(353)[/tex]
[tex]92x+122y-92x-92y=39946-32476[/tex]
[tex]30y=7470[/tex]
Divide both sides by 30.
[tex]y=\dfrac{7470}{30}[/tex]
[tex]y=249[/tex]
Therefore, the number of family tickets is 249.
There are 42 dogs at the local shelter. Which equation can be used to determine how many dogs the shelter can provide for if it is currently at 60% capacity? 42/x=100/60 42/x=40/100 42/60=100/x 60/100=42/x
Answer:
100/60 = 42 / x
Step-by-step explanation:
Given that :
Number of dogs at shelter = 42
Capacity of shelter = 60%
Number of dogs shelter can cater for :
Let number of dogs shelter can cater for = x
60% of 42 = x
(60/100) * 42 = x
60/100 = x / 42
Reciprocal of both sides
100/60 = 42 / x
Answer:
60/100=42/x
Step-by-step explanation:
Jamaal writes 18 page in 14 of a minute. How much time will it take Jamaal to write a full page?
Answer:
It will take 1.29 minutes for Jamaal to write a full page.
Step-by-step explanation:
This question is asking us for the unit rate. So, we must divide the numerator by the denominator in 18/14.
18 ÷ 14 = 1.29
This means that it will take 1.29 minutes for Jamaal to write a full page.
Hope this helps! :)
This year, a small business had a total renvue of 51,000. If this 36% more than their total renvue the previous year, what was their total renvue the previous year?
Answer: well your answer is 18360
Step-by-step explanation: so let's say 51,000 is 100% and x is what where looking for, we know x is 36% so write x=36% the you have 51,000=100% now you have two simple equations.
