9514 1404 393
Answer:
16 miles
Step-by-step explanation:
The problem can be modeled by a right triangle with one angle of 7° and the side opposite being 10,000 ft. The distance needed is the hypotenuse of the triangle, so the relevant trig relation is ...
Sin = Opposite/Hypotenuse
Hypotenuse = Opposite/Sin
air distance = (10,000 ft)/sin(7°) ≈ 82,055 ft
At 5,280 ft per mile, that is ...
(82,055 ft)/(5,280 ft/mi) ≈ 15.54 mi
The plane's air distance to the airport is about 16 miles.
The triangle and the rectangle have the same area
calculate the value of w.
Show your working
Answer:
2.5 cm
Step-by-step explanation:
6*5=30
30/2=15
That's the area of the triangle
The area of the rectangle must also equal 15
6*w=15
Divide by both sides by 6
This gives you: 2.5
The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm
Used the formula of area of the rectangle and area of the triangle which states that,
Area of rectangle = Length × Width
And, Area of triangle = 1/2 × Base × Height
Given that,
The triangle and the rectangle have the same area.
Here, in a triangle;
Base = 5 cm
Height = 6 cm
So, the Area of the triangle is,
[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]
[tex]A = 15 \text{ square cm}[/tex]
In a rectangle;
Length = 6 cm
Width = w cm
So, the area of a rectangle,
[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]
Since the triangle and the rectangle have the same area.
So, equate both the area of the triangle and rectangle,
[tex]6 \times w = 15[/tex]
Divide both sides by 6,
[tex]w = \dfrac{15}{6}[/tex]
[tex]w = 2.5 \text{ cm}[/tex]
So, the value of w is 2.5 cm
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i need help with the answer i also need to explain this question
Answer: B: 20
Step-by-step explanation: We can take 40% as a fraction to make it 4/10, simplifying gives 2/5. 2/5 of 50 is 20!
Hope this Helps!
The figure consists of a tangent and a secant to the circle. Find the value of x. Leave your answer in simplest radical form
Can I get all the all the correct answers for this assignment ASAP!!!!!
If adult grey whales weigh an average of 50 - 55 tons, about how many pounds does an adult grey whale weigh? (A ton equals 2000 pounds.)
Answer:
100000
Step-by-step explanation:
First multiplt the given njmber with 2000 and subrat total number givem
Answer: c
Step-by-step explanation:
What would this answer be?
Answer:
A
Step-by-step explanation:
the ' is always the image, so we see how all the letters that have ' in it are bigger than the ones that dont have ' in it.
Can you help me with this question
Answer:
308 (Third Option)
Step-by-step explanation:
Have a Great Day! :D
Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720 each year for his ... How much does Craig earn each month, in dollars?.
PLEASE HE L P IT WOULD mean the world to me<3..............................................................................................................................................................................Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Is the function representing the weekly paycheck amount of Salesman A a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman B a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman C a proportional relationship? Use complete sentences to explain your reasoning.
Answer:
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal
Step-by-step explanation:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
A red pebble is equal to 3 yellow pebbles a blue pebble is equal to a red and 2 yellow pebbles a green is equal to 3 red pebbles. What is the value in pebbles of a green pebble and a blue pebble divided by 2 red pebbles and a yellow pebble
Answer: 2
Step-by-step explanation:
Given
Red pebble is equal to 3 yellow pebble
A blue marble is equal to a red pebble and 2 yellow pebble
A green pebble is equal to 3 red pebble
Suppose [tex]R,B,Y,G[/tex] represents red, blue, yellow, and green pebbles
[tex]\therefore R=3Y\\B=R+2Y\\G=3R[/tex]
Express Red in terms of yellow in blue pebble equation
[tex]B=3Y+2Y\\B=5Y[/tex]
Now, express Green Pebble in terms of yellow pebble
[tex]G=3R=3(3Y)\\G=9Y[/tex]
Value of
[tex]\Rightarrow \dfrac{G+B}{2R+Y}\\\\\Rightarrow \dfrac{9Y+5Y}{2\times 3Y+Y}\\\\\Rightarrow \dfrac{14Y}{7Y}=2[/tex]
The table below show the approximate population of Virginia for 5 years. What is the
equation of the line of best fit?
Answer:
Y = 0.09X1 - 167.40
Step-by-step explanation:
Year (X) : 2000, 2004, 2006, 2007, 20008
Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77
Using technology, the regression model obtained is :
Y = 0.09X1 - 167.40
With a slope of 0.09 and intercept of - 167.40
Enter the explicit rule for the geometric sequence.
1/4, 1/2, 1, 2, 4, …
Answer:
[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is the same, and this quotient is given by q.
The explicit rule of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
1/4, 1/2, 1, 2, 4
This means that [tex]a_1 = \frac{1}{4}[/tex], and:
[tex]q = \frac{4}{2} = \frac{2}{1} = \frac{1}{\frac{1}{2}} = \frac{\frac{1}{2}}{\frac{1}{4}} = 2[/tex]
So the explicit rule is:
[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]
Find the measure of the angle indicated (X). Round to the nearest tenth. Show your work to support your answer. C 13 4 0 A B
Step-by-step explanation:
solution given.
relationship between perpendicular and base is given by tan angle
tan ø=perpendicular/base
ø=tan-¹(4/13)=17.10272897=17° is your answer
what is 18cm in a scale 1:50?
Answer:
900 cm
Step-by-step explanation:
Proportions
1cm ⇒ 50cm
18cm ⇒ Wcm
W = 18*50/1
W = 900cm
If 3x + 10 = 10 + 2x, what is the value of x?
A) x = 4
B) x = -4
C) x = -1
D) x = 0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
If C = 1+ 5n - 6n² and B = n + 4n^2,find an expression that equals 2C – 3B
in standard form.
Step-by-step explanation:
2C – 3B = 2(1+5n-6n²)-3(n+4n²)
= 2+10n-12n²-3n-12n²
= 2 +7n -24n²
The expression (2C-3B) equals to (-24x²+7x+2)
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given are two expression, C = 1+5n-6n² and B = n+4n²
2C = 2+10n-12n²
3B = 3n+12n²
2C-3B = 2+10n-12n² - 3n-12n²
= -24n²+7n+2
Hence, The expression (2C-3B) equals to (-24x²+7x+2)
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Find the whole number equal to the fraction below. Enter your answer in the space provided. 21 /3
Answer:
the answer is 7
Step-by-step explanation:
divide the numerator (21) by the denominator (3) and you will get 7 as the answer hope this helped
Solve for x, rounding to the nearest hundredth.
6•10*=1
Answer:
ur an idiot
Step-by-step explanation:
Can anyone solve this for me?
simplify
[tex]\sqrt{63}[/tex]
Answer:
3√7
Step-by-step explanation:
63 can be divided by 9 and 7. The square root of 9 is 3. so it should be 3√7.
Choose the most reasonable estimate of the volume of a box with
dimensions as follows: width = 4.9 cm; length = 5.1 cm; height = 4.8 cm.
A. 75 cm3
B. 12 cm3
C. 50 cm3
D. 125 cm3
Answer:
D. 125cm
Step-by-step explanation:
Round each number for an estimate so you get 5 x 5 x 5 = 125
WILL GIVE BRAINLIEST!! 50 POINTS!!
factor: 5(p-1)-(p-1)^2
Answer:
-(p-1) (p-6
Step-by-step explanation:
I hope this helps,good luck with everything.
Which expression represents the
following calculation?
Subtract 23 from the product of 8 and 7.
A 23 - (8 X 7)
B (8 x 7)-23
C (23 - 8) X 7
D 8 X (7 - 23)
Answer:
B (8x7)-23 is the answer
Subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
Subtract 23 from the product of 8 and 7
The product of the 8 and 7 can be written as (8 X 7)
Subtract 23 from (8×7)
(8 X 7) - 23
Thus, subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.
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What is the correct answer???
We want the following inequality to be true: IMAGE BELOW!
Answer:
B. X=7
Step-by-step explanation:
Because 9 greater than 7
For f (x) = StartFraction 6 x cubed minus x Over 2 x cubed minus x EndFractionthe ratio of the leading terms of the function is and Limit of StartFraction 6 x cubed minus x Over 2 x cubed minus x EndFraction as x approaches infinity= . These limits indicate there is an asymptote of .
Answer:
3, 3, and y=3
Step-by-step explanation:
got it right on edge
A ratio expresses the number of times one number contains another. The ratio of the given polynomial is equal to 3.
What is a Ratio?A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.
Given the polynomial function, f(x)=(6x³ - x)/(2x³ - x). The leading coefficient is the constant of the term that has the highest power in a given polynomial. Therefore, the leading coefficient of the numerator and the denominator are 6 and 2, respectively. Thus, the ratio of the constant is,
Ratio = 6/2 = 3
Hence, the ratio of the given polynomial is equal to 3.
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You’re purchasing a new television with a 32” screen. The 32” measurement represents the diagonal measurement of the screen. You remember the height at the store was 16”. What is the width of the TV
Answer:
27.7"
Step-by-step explanation:
use the pythagorean theorem
a² + b² = c²
a² + 16² = 32²
a² + 256 = 1,024
subtract 256 from both sides
a² = 768
Take the square root of both sides
a = 27.7128129211
a = 27.7"
Find the value of x and y
x = 45° , y = 45°
x = 117° , y = 117°
x = 27° , y = 63°
x = 63° , y = 27°
Step-by-step explanation:
X=63 and Y=27 is the correct answer.
Please help its about math
Answer:
3 ×2
»(3×20) ×(2×20)
»60 × 40
» (60÷10) ×(40÷10)
» 6 × 4
Option C is your answer
Determine the net pay if gross pay was $546.54 and the following deductions were taken out. Federal tax $66.00, state tax
$21.86, Social Security $33.89, and Medicare $7.92.
Answer:
416.87, you subtract all from gross pay.
Step-by-step explanation:
546.54-66-21.86-33.89-7.92=416.87