Answer:
$1,920.00
Step-by-step explanation:
12,800 x 15%=1,920.00
prove that...
sin A = Cos (90°- A)
Step-by-step explanation:
assuming A=90 degree and B =A
cos90=0 and sin90=1
After 5 hours, how far apart are the boats? Label the distance(s) on your drawing from the first problem.
Answer:
The distance between them is 277.84 m
Step-by-step explanation:
See comment for complete question.
Given
Boat A:
[tex]Speed = 24mph[/tex]
[tex]\angle A = 340^{\circ}[/tex]
Boat B:
[tex]Speed = 35mph[/tex]
[tex]\angle B = 200^{\circ}[/tex]
[tex]Time = 5hr[/tex]
First, we calculate the distance traveled by both boats in 5 hours
[tex]Distance= Speed * Time[/tex]
[tex]Boat\ A = 24mph * 5hr = 120m[/tex]
[tex]Boat\ B = 35mph * 5hr = 175m[/tex]
For more clarity, I'll make use of the attached image to represent the system.
From the attachment, we are to calculate distance C, but first we calculate the angle between them.
[tex]\theta = 340^{\circ} - 200^{\circ}[/tex]
[tex]\theta = 140^{\circ}[/tex]
C is then calculated using cosine law:
[tex]C^2 = A^2 + B^2 - 2BC\ Cos\theta[/tex]
This gives:
[tex]C^2 = 120^2 + 175^2 - 2*120*175\ Cos(140^{\circ})[/tex]
[tex]C^2 = 120^2 + 175^2 - 2*120*175*-0.7660[/tex]
[tex]C^2 = 14400 + 30625 + 32172[/tex]
[tex]C^2 = 77197[/tex]
Take square root of both sides:
[tex]C = \sqrt{77197[/tex]
[tex]C = 277.84[/tex]
The distance between them is 277.84 m
Mike's car holds 14 2/5 g of gas, averages 20mpg. About how far can Mike's travel if his tank is 1/4 full?
Solution :
It is given that :
The car of Mike's can hold = [tex]$14 \frac{2}{5}$[/tex] g of gas.
[tex]$=\frac{72}{5}$[/tex] g of gas
∴ [tex]$=\frac{1}{4} $[/tex] th of [tex]$\frac{72}{5}$[/tex] g of gas is [tex]$=\frac{1}{4} \times \frac{72}{5}$[/tex]
[tex]$=\frac{18}{5}$[/tex] g of gas
The average distance that the car can travel when the tank is full is = 20 mpg
∴ In [tex]$\frac{72}{5}$[/tex] g of gas, the car travels = 20 mpg
In 1 g of gas, the car travels = [tex]$20 \times \frac{5}{72} $[/tex] mpg
So in [tex]$\frac{18}{5}$[/tex] g of gas, the car travels = [tex]$20 \times \frac{5}{72} \times \frac{18}{5} $[/tex] mpg
= 5 mpg
The baker at weis supermarket will cut 5 indeticial loaves of bread into pices that are 1/3 . After he cuts the 5 loaves how many pices will the baker have
Answer:
15 pieces
Step-by-step explanation:
we see if we get 3 pieces from one bread then 5 will be 15
hope it helps you
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Find the slope from point (3,45) and (5,75)
Answer:
15
Step-by-step explanation:
To find the slope, we use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 75-45)/( 5-3)
= 30/2
= 15
Determine the length of PN and the value of y
Answer:
Side PN=26
y=16
Step-by-step explanation:
I put a photo of my work. It’s easier to do that then to try and put it all in words
This cylinder has a volume of 392\pi392π cubic inches and a diameter of 14 inches. Find the radius and the height.
Answer:
15688
Step-by-step explanation:
Find the GCF. (questions shown in photo)
Given:
(a) [tex]12a^2b^2c, 15a^3b^3c[/tex]
(b) [tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]
To find:
The GCF.
Solution:
(a)
We have,
[tex]12a^2b^2c, 15a^3b^3c[/tex]
The factor forms are
[tex]12a^2b^2c=2\cdot 2\cdot 3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]
[tex]15a^3b^3c=3\cdot 5\cdot a\cdot a\cdot a\cdot b\cdot b\cdot b\cdot c[/tex]
Now,
[tex]GCF=3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]
[tex]GCF=3a^2b^2c[/tex]
Therefore, the GCF is [tex]3a^2b^2c[/tex].
(b)
We have,
[tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]
GCF is the product of common prime factors with least power.
[tex]GCF=2^2\cdot 3^2\cdot 7[/tex]
Therefore, the GCF is [tex]2^2\cdot 3^2\cdot 7[/tex].
Write your question here (Keep it simple and clear to get the best answer) simplify (3x-4y)(5x+2y)-(x+y)
Answer:
15x^2−14xy−8y^2−x−y
Step-by-step explanation:
Combine like units.
Answer:
hope it helped
have a good day
Help me Please !!!! You will receive Brainliest!!!
Santino pays $36.85 for eleven 10-count boxes of granola bars. How much does 1 box of granola bars cost?
Answer:
One box of granola bars costs $3.35.
Step-by-step explanation:
36.85/11=3.35
Find the least common multiple (LCM) of 6 and 10
Answer:
30
Step-by-step explanation:
Multiples of 6 are 6,12,18,24,30.
Multiples of 10 are 10,20,30.
30 is the number they both have in common first. 30 is the LCM.
Hope this helps!
The least common multiple (LCM) of 6 and 10 is 20
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
6 and 10
The multiples of 6 are 6, 12, 18, 24, 30, 36, ...
The multiples of 10 are 10, 20, 30, 40, 50, 60,...
Now,
The least common multiple (LCM) of 6 and 10.
= 30
Thus,
30 is the LCM of 6 and 10.
Learn more about expressions here:
https://brainly.com/question/3118662
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84,000 of food for 80 soldiers for 60 days How long would the food last 20 more soldiers joined
Answer:
If 20 more soldiers join it would last 48 days
Step-by-step explanation:
if 80 soldiers need 84000 food for 60 days it means that in 60 days one soldier eats 84000/80= 1050 each
then 1050/60=17.5 meaning they need 17.5 food a day each,
adding 20 soldiers means 80+20= 100 soldiers
100*17.5=1750 food is eaten every day
84000/1750= 48 which means that 100 soldiers will eat 84000 in 48 days
4x - (-6) what’s the answer
Answer:
4x + 6
Step-by-step explanation:
If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!
Deandria spent $22 on 11 song downloads. How much did each song cost?
Answer:
2 dollars on each
Step-by-step explanation:
2 times 11 equals 22
Answer:
Each song costed $2.00
Step-by-step explanation:
If all song downloads cost the same, then each song download costs...
22 / 11 = 2
There the cost per 1 download is $2.00
You can upgrade lighting at your factory to LED bulbs that coast 6.95 each and last an average of 5 years.
Answer:
$200
Step-by-step explanation:
Here is the full question
You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs $3 in labor to change a bulb. Over a 10-year period, about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?
in 10 years, the bulbs would be changed twice
Total cost incurred per bulb in 10 years = (6.95 + $3) x 2 = $19.90
Since there are 100 bulbs, total cost incurred would be - $19.90 x 100 = $1990
Cost per year = $1990 / (6.95 + $3) = $200
The radius of circle is 9. Using pie, which equation expresses the ratio of the circumference of the circle to the circle's
diameter?
Answer:
B) C/18 = PI
Step-by-step explanation:
C = PI * Diameter
C = PI * 2R
C = PI * 18
C/18 = (PI * 18)/18
C/18 = PI
A jewelry box has a volume of 14 cubic inches. The area is 7 square inches. What is the height of the jewelry box.
Answer:
2 inches
Step-by-step explanation:
a=Lw
v=lwh
lw= 7
14/7=2
ayrıntılı bir şekilde çözümü yazarmısınız
Answer:
asi ñao lub ni huliao
Step-by-step explanation:
Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.
Answer:
x = 6
Step-by-step explanation:
If A, B and C lies on a straight line in order, then;
AB+BC = AC
x+12+2x-4 = 26
x+2x+12-4 =26
3x+8 = 26
3x = 26-8
3x = 18
x = 18/3
x = 6
Hence the value of x is 6
um dado de 6 faces numeradas de 1 a 6 e lançado de maneira aleatória deseja-se que ele caia com uma face para cima . Qual a probabilidade de se obter a face com um dos valores desejados
Answer: The translation: is "a die with 6 faces numbered from 1 to 6 and thrown in a random way is desired to fall face up. What is the probability of obtaining the face with one of the desired values"
The basketball team ordered two pizzas. They left 1/3 of one and 1/4 of the other uneaten. What amount of pizza did they have leftover?
Get both 1/3 and 1/4 to the same denominator, with is 12, you also multiply the numerator the same you had to as the denominator.
The answer is 7/12
1. Noah had $ 5.25 and Lin had $ 8.95. How much did they have altogether?
2. Diego had $ 21.32 and gave $ 9.50 to Elena. How much did he have left?
3. Andre deposited $ 24.50 into his bank account each week for 5 weeks. What was the total amount Andre deposited?
4. Four friends did a job together that paid $ 85.20. How much should each get if they all get an equal amount?
1. 5.25 + 8.95 = 14.20
2. 21.32 - 9.50 = 11.82
3. 24.50 × 5 = 122.5
4. 85.20 ÷ 4 = 21.3
Hope this helped! Please comment if you have any questions regarding how I got my answers. Stay safe.
Find the circumference of each circle. Use 3.14
for π. Round to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
42(3.14)=131.9(nearest tenth)
Solve A = P(1 + rt) for t
Answer:
t = (A/p-1) r
Step-by-step explanation:
p = p (1+rt)
A/P = 1+rt
rt = A/P- 1
t = ( A/P- 1) r
PLS HELP THE QUESTION IS BELOW PLS PLS PLS
Answer:
its b trust me ok dont worry I have you in my hands
Answer: THE ANSWER IS B.
- Ashanti earns $50 an hour. How much does she earn in 6 hours?
Solution:-
Given,
Ashanti earns=$50 an hour
Ashanti earns in 6 hours=?
Now,
Ashanti earns in 60 hours=$50×6
=$300
Therefore,Ashanti earns $300 in 6 hours.
Direction: Read and analyze each question below, the write the letter of the correct answer.
1. Which of the following is a conditional statement?
a. If Andrew cleans the room then Andrea cleans the kitchen.
b. Andrew and Andrea clean the kitchen.
c. None of the above
2. Which of the following is a converse statement of the sentence "If you eat vegetables, then you are healthy"?
a. If you are healthy, then you eat vegetables.
b. If you do not eat vegetables, then you are not healthy.
c. None of the above
3. Which of the following is the contrapositive statement of the sentence "If you eat vegetables, then you are healthy"?
a. If you are healthy, then you eat vegetables.
b. If you do not eat vegetables, then you are not healthy.
c. None of the above
NEED ASAP
Answer:
1 is A
2 is A
3 is none of the above
Step-by-step explanation:
Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
I will give a Branliest!
You can choose
A. Hunger Games
B. Men in Black
C. Classic Horror Movies
D. Jurassic Park
OR!!
Awnser With your own suggestion!!!!!!!
Answer:
E. HELLO
Step-by-step explanation:
What is the volume of the cylinder below?
Answer:
11253.76
Step-by-step explanation:
We know that the formula for the volume of a cylinder is pi(r^2)(h) and we have both the radius (8 yards) and the height (56 yards) given to us. Given this, we can plug those numbers into the equation and do pi x (8)^2 x 56 which is simplified to 3.14 x 64 x 56, and when we solve this out we can get a final answer of 11253.76