Answer:
x=8
Step-by-step explanation:
4:3=x:6
Multiply the first set by 2
4*2 : 3*2
8:6
That means x =8
assume the initial velocity is 60 feet/second. what is the maximum horizontal distance possible and at what angle does this occur
Answer:
h = 112.5 feets
Step-by-step explanation:
The equation for horizontal distance "h" in feet of a projectile with initial velocity v₀ and initial angle theta is given by :
[tex]h=\dfrac{v_o^2}{16}\sin\theta\cos\theta[/tex]
We know that, [tex]2\sin\theta\cos\theta=\sin2\theta[/tex]
So,
[tex]h=\dfrac{v_o^2}{32}\sin2\theta[/tex]
Now we need to find the maximum horizontal distance possible and at what angle does this occur.
For maximum distance angle should be 45 degrees. Som,
[tex]h=\dfrac{60^2}{32}\sin2(45)\\\\h=112.5\ \text{feet}[/tex]
So, 112.5 feets is the maximum possible distance.
A fish jumps out of the water at a speed of 12 feet per second. The height y (in feet) of the fish above the surface of the water is represented by the equation y=-16x^2+12x, where x is the time (in seconds) since the jump began. The fish reaches its highest point above the surface of the water after 0.375 seconds. How far above the surface is the fish at this time?
Answer:
The fish is 2.25 ft above the surface at 0.375 seconds
Step-by-step explanation:
Given:
y=-16x^2+12x
x=0.375 seconds
Substitute x=0.375 into the equation
y=-16x^2+12x
= -16(0.375)^2 +12(0.375
= -16(0.140625) + 4.5
= -2.25 + 4.5
= 2.25
y=2.25 ft
The fish is 2.25 ft above the surface at 0.375 seconds
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of
lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus.
What is the total cost of oil that he uses in the 5 batches of his recipe?
The correct answer is $15
Explanation:
The first step is to determine the total of oil that was used for the 5 batches. To find this, you just need to multiply the amount of oil used for one batch by the total batches.
1 cup of oil per batch x 5 batches = 5 cups of oil
This means, in the 5 batches the oil Dinesh used was 5 cups of oil. Additionally, you know the total of cups in the bottle of oil is 12 cups, and these 12 cups or total costs $36. Now to find what is the cost of the 5 cups use the rule of three and cross multiplication.
12 cups of oil = $36 1. Write the values
5 cups of oil = x
12 x = 180 2. Cross multiply this means 36x 5 and 12 multipy by x
x = 180 ÷ 12 3. Solve the equation
x= 15 - Cost for 5 cups used in the batches
solve for x 4(x+2)=48
Answer: 10
Step-by-step explanation:
4(x+2)=48
4x+8=48
4x=40
x=10
Answer:
x=10
Step-by-step explanation:
4(x+2)=48
Divide each side by 4
4/4(x+2)=48/4
x+2 = 12
Subtract 2 from each side
x+2-2= 12-2
x = 10
What is the approximate volume of the whole sphere? Use pie=3.14 and round to the nearest whole cubic unit.
a. 42 cubic units
b. 126 cubic units
c. 4,187 cubic units
d. 73,385 cubic units
if you could awnser this as soon as possible that would be great :)
Answer:
c. 4187 cubic units
Step-by-step explanation:
V = 4/3 π r³
= 4/3(3.14)(10)³
= 4186.6666666
Please answer this question now
Answer:
48°
Step-by-step explanation:
arc BC = 136(2) -145 = 127
arc DC = 83(2) - 127 = 39
arc AD = 360 - 145- 127 - 39 = 48
Answer:
49 degrees
Step-by-step explanation:
Measure of arc ABC = 116*2 = 232 degrees.
Measure of arc BC = 232-145 = 87 degrees.
Measure of arc BCD = 83*2 = 166 degrees.
Measure of arc DC = 166-87 = 79 degrees.
Measure of arc AD = 360 - (145+87+79) = 360 - 311 = 49 degrees
An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane from the airport (round to the nearest mile)? (2 points) PLEASE HELP ASAP 30 POINTS!!!!!!! need full explanation and work
Answer:
299.99 miles
Step-by-step explanation:
Since the plane traveled due west,
The total angle is 49.17 + 90
Represent that with θ
θ = 49.17 + 90
θ = 139.17.
Represent the sides as
A = 170
B = 150
C = unknown
Since, θ is opposite side C, side C can be calculated using cosine formula as;
C² = A² + B² - 2ABCosθ
Substitute values for A, B and θ
C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17
C² = 22500 + 28900 - 51000 * Cos 139.17
C² = 51400 - 51000 (−0.7567)
C² = 51400 + 38,591.7
C² = 89,991.7
Take Square Root of both sides
C = 299.9861663477167
C = 299.99 miles (Approximated)
Hence, the distance between the plane and the airport is 299.99 miles
A chocolate company has a new candy bar in the shape of a prism whose base is a 1-inch equilateral triangle and whose sides are rectangles that measure 1 inch by 2 inches. These prisms will be packed in a box that has a regular hexagonal base with 2-inch edges, and rectangular sides that are 6 inches tall. How many candy bars fit in such a box
Given that the quadrilateral is a parallelogram, m∠S = + 19 and m ∠T = 8x - 4, what is m∠Q?
Answer:
32
Step-by-step explanation:
Brainlist plz
Answer:
[tex]\Large \boxed{161\°}[/tex]
Step-by-step explanation:
Adjacent angles in a parallelogram add up to 180 degrees.
m∠Q and m∠S add up to 180 degrees.
m∠Q + m∠S = 180
m∠Q + 19 = 180
Subtract 19 from both sides.
m∠Q + 19 - 19 = 180 - 19
m∠Q = 161
Write each number in standard notation.
1.057 x 10^3
5.24 x 10^5
3 x 10^8
Answer:
1,057.
524,000.
300,000,000
Help pleasee!!! Tyyyyy
Answer:
G. 7
Explanation:
The longest side must be less than the sum of the two shorter sides.
The difference between the longest and shortest sides must be less than the middle side.
l+a = 11
l < (a + 4) ... l < (11 - l + 4)
... 2 l < 15 ... l < 7.5
--Variables
l = 7 (Longest Side/Answer)
a = 4 (Other Missing Length)
m = 4 (Side Given)
In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with appropriate sign (>,<) between them (a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 10023001
D) in the question
1002, 3001
Answer:
a) 503 b) 307 c) 56789 D) 1002
Step-by-step explanation:
Numbering starts from the left hand side and are arranged in ascending order.
A) (530, 503)
503 < 530
503 is lesser than 530 and as such it is encountered first when numbers are written, hence 503 will appear on the left side of the number line when both are written.
B.) (370, 307)
370 > 307
307 comes before 370, therefore it will appear on the left side of 370 when illustrated on a number line.
C.) (98765, 56789)
98765 > 56789
56789 will appear on the leftside of 98765 when both number are illustrated on a number line.
D.) 1002 < 3001
1002 will appear on the leftside of 98765 when both number are illustrated on a number line.
Can someone help!!! And explain please
Answer:
400(π+2) feet square
Step-by-step explanation:
let x be the diagonal of the cage=40√2 at the same time it is the radius of the circle ( the tiger can go in circle)
but since the cage is part of the circle and not full turn πr²/8
area of the circleπr²+ half area square
(π(40√2)²)/8 +40²/2
3200π/8+1600/2
400π+800
400(π+2) feet square
Find the perimeter of this figure. (Image down below)
Answer:
The answer is
44 ftStep-by-step explanation:
The figure above is a rectangle
To find the perimeter of a rectangle we use the formula
Perimeter of a rectangle = 2l + 2w
where
l is the length of the rectangle
w is the width of the rectangle
From the question
length = 14 ft
width = 8ft
Substituting the values into the above formula we have
Perimeter = 2(14) + 2(8)
= 28 + 16
We have the final answer as
Perimeter = 44 ftHope this helps you
2 pts Question 1 Write an expression to model the phrase: Myles has $635 and is earning $120 each week as a lifeguard. (Use x as your variable) 2 pts Wuestion 2
Answer:
The equation is y= 120x+ 635Step-by-step explanation:
Hey there!!!,
in this problem we are expected to present an equation for the given scenario, and a way out is to model it after the equation of line
i.e y= mx+c
From the problem statement we can see that the constant amount Myles have is $635, and also earnings of $120 weekly.
Comparing the statement withe equation of line we have
y= 120x+ 635
as "x" is the number of weeks worked and $635 is the constant amount at hand.
Should you need further clarification on this, let me know
Which of these relations are functions?
х
O
-2 6 2 -6
-5 21 15-15
y
11
y
4
2
O
x
4
-2
4
o
{(-5,-7), (-2,-7), (7,17), (-5,21)}
y
For each value of y, the number of value of x must be one. Then the correct options is D.
The complete question is attached below.
What is relation function?The relation function is given as, for every independent value, there is a dependent value.
Let the function be y = f(x).
For each value of x, the number of value of y may one or two.
But for each value of y, the number of value of x must be one.
Then the correct options is D.
More about the relation function link is given below.
https://brainly.com/question/2253924
#SPJ1
what is the solution to this equation -3x=52
Answer:
-17.3
Step-by-step explanation:
To solve for x, we can divide both sides by -3:
x = -52 / 3 which = -17.3
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{ - 17.33}}}}[/tex]Step-by-step explanation:
[tex] \sf{ - 3x = 52}[/tex]
Divide both sides of the equation by -3
⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{52}{ - 3} }[/tex]
Calculate
⇒[tex] \sf{x = - 17.33}[/tex]
Hope I helped!
Best regards!!
Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent?
Answer:
49 square meters represent area of the square garden
Step-by-step explanation:
Each side length=7 meters
He multiplied 7 × 7 times to find the amount of space
=49 square meters
Jack is trying to measure the area of his square garden
Area of the square garden = length^2
=Length × length
Recall,
Length=7 meters
Area of the square garden= 7 meters × 7 meters
=49 square meters
Find the measure Of PR
Answer:
18
Step-by-step explanation:
The formula for this is a x b = c x d where a is SR, b is FR, c is QR and d is PR. This will give us the equation 9(16) = 8(5x + 8); 144 = 40x + 64; 80 = 40x; x = 2. Now, plug this into PR which will be 5(2)+8 = 18. This is your answer.
Complete the sequence
8,27,64,125,.........
Just next letter
Answer:
216.
Step-by-step explanation:
These numbers are perfect cubes starting with 2^3.
2^3, 3^3, 4^3, 5^3 so the next one is 6^3, which is 216.
A national sampling of cookie preferences showed that 75% of people like chocolate chip, 50% like peanut butter, and only 3% like coconut. The use of this information makes sense in which of the following scenarios? A. The school cafeteria decides to make 3 coconut cookies for each 100 students who buy lunch, even though it puts them over budget for desserts. B. A national cookie company is thinking of changing the recipe in their peanut butter cookies. C. A national cookie company decides to spend $5 million in advertising to convince people to eat coconut cookies. D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer.
Answer:
D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer.
Step-by-step explanation:
I believe that is correct....
10 points :) Graph this for me :P
Answer:
-2≤x≤2 f(x)=[x+3]
first the sign is ≤ it means the point is solid point and the interval is x+3
What is negative sqrt 64?
Answer:
8i. In real numbers only, this isnt possible, but if immagenary numbers are allowed then 8i is your answer
Pls answer these McQ to be the brainliest
Step-by-step explanation:
1. c
2. a
3. c
4. c
5. d
6. b
7. a
8. b
9. c
II
Initial Knowledge
This morning, Leila's car had 19.79 gallons of fuel. Now, 2.8 gallons are left. How much fuel did Leila use?
Answer:
[tex]19.79 - 2.8 = 16.99gallons[/tex]
A line of 8cm was measured as 8.04cm what is the percentage error
Answer:
0.5% error
Step-by-step explanation:
We can use the percentage error formula, which is
[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].
We know that the approximated value was 8.04, however it is actually 8cm, so we can substitute inside the equation.
[tex]\frac{|8.04 - 8|}{8}\cdot100 \\\\\frac{0.04}{8}\cdot100 \\\\0.005\cdot100 \\\\0.5[/tex]
Hope this helped!
The amount of juice in a container is
normally distributed with a mean of
70 ounces and a standard deviation of
0.5 ounce. What is the probability that a
randomly selected container has more
than 70.5 ounces of juice?
Answer:
0.15866
Step-by-step explanation:
To solve for the above question, we use z score formula
z = (x - μ) / σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
x is the raw score = 70.5
μ is the population mean = 70
σ is the population standard deviation = 0.5
z = 70.5 - 70/ 0.5
z= 0.5/0.5
z = 1
We used the z score table to find the probability of z = 1
P( x = z) = P(x = 70.5)
= P( z = 1) = 0.84134
Hence, the probability that a randomly selected container has more than 70.5 ounces of juice is calculated as
P(x>70.5) = 1 - P(x =70.5)
P(x>70.5) = 1 - 0.84134 = 0.15866
Therefore, the probability that a randomly selected container has more than 70.5 ounces of juice is 0.15866.
Un cultivo de bacterias crece y se duplica cada dos horas .¿Cu`antas veces mas grande sera el numero de bacterias en 12 horas?El numero inicial es X. Expresa usando potencias ayuda profis es para hoy ; )
Responder:
64 visitas
Explicación paso a paso:
Dado lo siguiente:
Número inicial de bacterias = x
Tasa de crecimiento = se duplica cada dos horas
¿Cuántas veces mayor será la cantidad de bacterias en 12 horas?
La cantidad de veces (n) en las que la cantidad de bacterias se duplica:
n = 12 horas / período de tasa de crecimiento
n = 12/2 = 6
Eso significa que el crecimiento de bacterias se duplicará 6 veces en 12 horas.
Por lo tanto, la cantidad de bacterias después de 12 horas será:
Después del 1er período = x * 2 = 2x
2do período = 2 ^ 2 * x = 4x
Después de n período
= 2 ^ n * x
Después de 6 períodos:
2 ^ 6 * x = 64x
Número de veces que las bacterias serán mayores en 12 horas:
Inicial = final
x = 64x
Comparando ambos
Las bacterias serán 64 veces más grandes después de 12 horas.
The following shape is based only on squares, semicircles, and quarter circles. Find the area of the shaded part.
Answer:
The area of the shaded part is 36.53 cm²
Step-by-step explanation:
The dimension of the side of the square ABCD = 8 cm
The shaded part is seen to be the area of intersection of two quarter circles
The dimension of the radius of the quarter circles = The side length of the square
Therefore;
The dimension of the radius of the quarter circles = 8 cm
The figure can be taken as being formed by the two quarter circles with a square removed
The shaded area is the
Therefore, the area of the shaded part Sₐ, is given by the relation;
Sₐ = Area of first quarter circle + Area of second quarter circle - Area of the square
Given that the dimensions (radius) of the two quarter circles are the same, we have;
Area of first quarter circle = Area of second quarter circle = (π × 8²)/4 cm²
Area of the square = (Side length of the square)² = 8² = 64 cm²
Sₐ = (π × 8^2)/4 + (π × 8^2)/4 - 64 = 36.53 cm²
The area of the shaded part = 36.53 cm².
A company ships coffee mugs using boxes in the shape of cubes. The function g(x) = gives the side length, in inches, for a cube with a volume of x cubic inches. Suppose the company decides to double the volume of the box. Which graph represents the new function?
Answer:
The graph is attached below.
Step-by-step explanation:
The volume of the box containing the coffee mugs is,
[tex]V=x^{3}[/tex]
Then the function representing the side length, in inches, for the box is:
[tex]g(x)=x[/tex]
Now, it is provided that the company decides to double the volume of the box.
That is, the new volume will be:
[tex]V_{n}=2x^{3}[/tex]
Then the side length, in inches, for the box will be:
[tex]g_{n}(x)=\sqrt[3]{2x^{3}} =\sqrt[3]{2}x[/tex]
Then the graph representing the function, formed using the following points is:
[tex]x\ \ \ \ \ \ \ \ \ g_{n}(x)\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\0\ \ \ \ \ \ \ \ \ \ \ 0\\1\ \ \ \ \ \ \ \ \ \ \ 2^{1/3}[/tex]
Answer:
c
Step-by-step explanation:
