Answer:
404.98 m
Step-by-step explanation:
The angle of depression is 5°
The horizontal distance from the airplane to the atoll is 4629 meters.
We need to find the height of the plane.
If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :
[tex]\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m[/tex]
So, the height of the plane is 404.98 m.
what number increased by 62%, results in the value of 59.94
Answer:
The number is : x = 37
Step-by-step explanation:
In order to solve this question, we may set up a proportion.
If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.
so
59.94 → 162%
x → 100%
solving the proportion gives you
59.94 × 100 = 162 × x
x = (59.94 × 100)/162
x = 5994/162
x= 37
Thus, the number is : x = 37
A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second car has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 825 miles, for total gas cumsumption of 40 gallons. How many gallons were consumed by each car
Answer:
Number of gallons consumed by first car = 15 gallons
Number of gallons consumed by second car = 25 gallons
Step-by-step explanation:
Given that:
Fuel efficiency of first car = 30 miles per gallon
Fuel efficiency of second car = 15 miles per gallon
Total distance traveled = 825 miles
Total gas consumption = 40 gallons
To find:
Number of gallons consumed by each car = ?
Solution:
Let the number of gallons consumed by first car = [tex]x[/tex] gallons
As per question statement, number of gallons consumed by second car:
[tex]40-x[/tex]
Number of miles covered by a car = Fuel efficiency [tex]\times[/tex] Number of gallons consumed
Number of miles covered by first car = 30 [tex]\times[/tex] [tex]x[/tex]
Number of miles covered by second car = 15 [tex]\times[/tex] ([tex]40-x[/tex])
Using the given statement:
[tex]30x+15(40-x)=825\\\Rightarrow 30x+600-15x=825\\\Rightarrow 15x=225\\\Rightarrow x =15\ gallons[/tex]
Therefore, Number of gallons consumed by first car = 15 gallons
Number of gallons consumed by second car = 40 - 15 = 25 gallons
12. Four shovels of sand are used for every 5 shovels of gravel in making concrete.
How much gravel is needed for 64 shovels of sand?
Answer:
80
Step-by-step explanation:
64s : Xg
4s.Xg = 5g.64s
X = (5g*64s)/4sg
= 5*64/4
= 5*16
= 80
which expression can be written as 5x(2+7)
Answer:
Step-by-step explanation:
5x(2+7)
10x+35x
45x
There are no choices. But above is the answer if I need to solve it.
what is | -5 | + 7
Answer: 12
Step-by-step explanation:
While shopping for a speaker, you see a discount.
What expressions can be used to find the total discount?
Select all the correct methods that apply (3).
0.3 * 42.00
3/10 * 42
0.03 * 42
3 * 4.2
30 * 42
Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
45 miles
Step-by-step explanation:
Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula [tex]a^{2} +b^{2} =c^{2}[/tex]. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So [tex]c^{2}[/tex] = 2025. Find the square root of 2025. [tex]\sqrt{2025}[/tex] = 45. Hope this helped ^^
30/90= ?/18 please help i don’t know how to do this.
Answer:
6
Step-by-step explanation:
30/90 is 1/3. 1/3 is equal to 6/18
Hope that helpsssss :DD
Answer:
6
Step-by-step explanation:
30/90 = 1/3
If you multiply 6 by 3, you get 18
how many times does 10 go into 2280
Answer:
228
Step-by-step explanation:
please help me with my math
Answer:
22
Step-by-step explanation:
22 - 19 = 3
3 times -6 = -18
Hope this helps!!
quien me ayuda por favor no se como hacerlos
What is the 5th term of an arithmetic sequence of 20 terms with first and last terms of 2 and 59, respectively
Answer:
14
Step-by-step explanation:
aₙ = a₁ + (n-1)*d
59 = 2 + (20-1) * d
59 = 2 + 19d
19d = 59-2 = 57
d = 3
5th term: a₅ = 2 + 4 * 3 = 14
Answer:
14
Step-by-step explanation:
help meeeeeeeeeee its limited
Answer:
2 2/4
Step-by-step explanation:
add the buttons greater then 1 and it will be 2 2/4
A dog has a litter of 5 puppies. You plan to adopt 2 of the puppies. In how many ways can you choose 2 of the puppies from the litter?
Step-by-step explanation:
Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.
The GCF of 36 uw 3y and 45 u 2y is _____. 9 uy 3 uy 1,620 u 2w 3y 180 u 2w 3y
Given:
[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]
To find:
The GCF of given expressions.
Solution:
The factor forms of given terms are:
[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]
[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]
Now, greatest common factor (GCF) of given terms is
[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]
[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]
So, the GCF of given terms is 9uy.
Therefore, the correct option is A.
PLEASE HELP! If I add five to a mystery number and then multiply the result by two, I get twenty four. Write an equation to solve for the mystery number, solve the equation and then check your answer.
Answer:
The mystery number is 7
Step-by-step explanation:
This is a very easy problem.
let the mystery number=x
2(x+5)=24
2x+10=24
2x=24-10
2x=14
x=7
To check the answer,
Add 5 to 7=12, multiply by 2=24
in the expression 15- the sum of 6 and. 7 do you add or subtract first
Answer:
Add
Step-by-step explanation:
By the way this question was worded, I'm going to say add. If I were to write the expression out, I personally would write it like this:
[tex]15-(6+7)[/tex]
And parentheses always occur first.
Hope this helps!
The number of people call 911 on March 25th?
A) continuous
B) discrete
C) categorical
Answer:
I think the answer is continuous hope this helps
Step-by-step explanation:
Also got subscribe to my YT channel BlxeVxbes
Calculate the value of y
Answer:
157°
Step-by-step explanation:
(4x - 5)° = (x + 16)°.. (vertical angles)
4x - 5 = x + 16
4x - x = 16 + 5
3x = 21
x = 21/3
x = 7
(x + 16)° + y ° = 180°...(Linear pair angles)
(7 + 16)° + y° = 180°
23° + y° = 180°
y° = 180° - 23°
y° = 157°
3 values greater than |-3.5|
Answer:
6.5
Step-by-step explanation:
3.5 + 3
Answer:
6.5
Step-by-step explanation:
I-3.5I = 3.5
3.5 + 3 = 6.5
Check Work:
6.5 - 3.5 = 3
or
I-3 - 3.5I = I-6.5I = 6.5
The graph below show the cost of tomato plants for each purchased. What is the cost of one tomato plant
Answer:
There is no phone...so i dont know what the numbers are....
Step-by-step explanation:
A family restaurant chain wants to test the market for a new menu item: a grilled chicken sandwich with chipotle salsa. They are interested in both how to market the item and the right price to charge for it. They decide to offer the sandwich at 60 different restaurants in the chain, using two different descriptions on the menu. Half the restaurants' menus will emphasize "healthy eating" and half will emphasize "value." These two groups of restaurants will be further divided in three groups, each charging either a High, Medium, or Low price for the sandwich. After a month, they will measure what proportion of customers order the new sandwich.
Answer:
Experimental units, factors & treatments in experiment.
Step-by-step explanation:
Experimental Units are the 60 restaurants.
Factors are the : Menu description & price
Treatments in experimental design : Healthy Low Price, Healthy Medium Price, Healthy High price & Value low price, Value medium price, Value high price.
–2 • 4? what is the anserw do you now
Answer:
Step-by-step explanation:
-8 because a negative times a positive is a negative so w times 4 equals I and since it’s a negative sign it’s -8
why is b the answer ???????????????????/
Answer:
Step-by-step explanation:
its b cuz when u replace any value of x from B to the equation, the value of y satisfies the values of y in B. For instance
y = 4 * -3 + 2
= -10
the value of y is -10 which satisfies the value of y in B but when u use a value of another table suppose A it would be,
y = 4 * 7 + 2
= 30
but the value y corresponding to the value of x we used is not 30
HOPE IT HELPED
Is this true or false? The following graph represents a proportional relationship
A. True
B. False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Jane is studying the weather in Alaska. She has recorded the temperature for four days in January, in degrees Fahrenheit, as shown in the table.
I have attached an image of the complete question.
Answer:
Options A & F are correct
Step-by-step explanation:
From the image attached, we have the following recorded temperature for 4 days in January.
Monday: -5° F
Tuesday: -1° F
Wednesday: 3° F
Thursday: 5° F
Option A is correct because the temperature on Monday and Tuesday is negative and thus below zero.
Option B is not correct because the temperature on Monday and Thursday are not the same since they are -5° F and 5° F respectively
Option C is not correct because the temperature on all days was not above zero since on Monday and Tuesday had negative temperatures
Option D is not correct because the lowest temperature below zero is on Monday and not Thursday
Option E is not correct because the temperature on Wednesday and Thursday are positive and not below zero.
Option F is correct because Monday had a temperature of -5° F which is the lowest gotten below zero
The temperature on Monday and Tuesday is negative and thus below zero.
The temperature on Monday had a temperature -5F which is the lowest value below zero.
Given,
Jane recorded temperature for 4 days in January.
Monday: -5° F
Tuesday: -1° F
Wednesday: 3° F
Thursday: 5° F
According to the question,
Compare the temperature from the given value of the temperature.
This statement is the correct because the temperature on Monday and Tuesday is negative and thus below zero.This statement is not correct because the temperature on Monday and Thursday are not the same since they are -5° F and 5° F respectively. This statement is not correct because the temperature on all days was not above zero since on Monday and Tuesday had negative temperatures.This statement is not correct because the lowest temperature below zero is on Monday and not Thursday This statement is not correct because the temperature on Wednesday and Thursday are positive and not below zero.This statement is correct. because the temperature on Monday had a temperature -5F which is the lowest value below zero.For more information about statement comparison click the link given below.
https://brainly.com/question/15565807
Solve the following: Eric’s father works two part-time jobs, one in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hoursdoes Eric’s father work each afternoon?The equation for this math problem is 5(a +3) =40 What does the 5 represent? * What is a?
-2(-g + 5)
someone please explain how to simplify then combine like terms
Answer:
2g-10
Step-by-step explanation:
-2(-g+5) take the -2 and multiply each term in the ()
-2*-g= 2g Two negatives multiplied turns it into a positive number
-2*5= -10
The answer is 2g-10
It’s algebra one please help
Answer: I'm gonna say (3,-2)
Step-by-step explanation: my best guess, bc they intersect
A 24 oz. bottle of pop costs $2.25. What is the price per ounce? How did you get that answer?
Answer:10.07
Step-by-step explanation: I got my answer by dividing 24 and 2.25. First, I set up my equation, 24 / 2.25. Then, i multiply 2.25 by 10, which was 22.5. Then i subtracted, which was 1.5 then i bring down my 0. 2.25 doesnt go into 1.50 so I add a 0. then i bring down a 0.