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Related Questions
A baseball player throws a ball with an initial vertical velocity of 55 feet per second from a height of 6.5 feet. Use the vertical motion model, h = -16t^2 + vt +s where v is the initial velocity in feet per second and s is the height in feet, to calculate how long the ball will be in the air for. Round your answer to the nearest tenth.
Answers
we are given the following model for the moption of a ball:
\(undefined\)
. Rohith purchased a book for Rs.573.75 and a pen for Rs.25.50. His father
gave him a Rs 1000 note. How much money is left with him after
purchasing both the things?
Answers
Answer:
Step-by-step explanation:
cost of book = Rs. 573.75
cost of pen = Rs. 25.50
total cost = 573.75 + 25.50 = Rs. 599.25
total money = Rs. 1000
money left with him = 1000 - 599.25 = Rs. 400.75
Hope this helps
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Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
99°
B
D
94%
Answers
The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.
Hence, Option (B) is correct.
Since, We know that,
A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.
The opposite angles of a cyclic quadrilateral have a total of 180°.
Hence, We can formulate;
m ∠ABC + m ∠ADC = 180°
m ∠ABC + 94° = 180°
m ∠ABC = 180° - 94°
m ∠ABC = 86°
Similarly, one can find m∠DCB
m∠DAB + m∠DCB = 180°
99° + m∠DCB = 180°
m∠DCB = 180° - 99°
m∠DCB = 81°
Hence, m∠ABC = 86°
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Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
\( x = \frac{\sqrt{6}}{2} \)
Step-by-step explanation:
Reference angle = 45°
Opposite side = x
Hypotenuse = √3
Use the following trigonometric ratios formula to find x:
\( sin(\theta) = \frac{opp}{hyp} \)
Plug in the values
\( sin(45) = \frac{x}{\sqrt{3}} \)
Multiply both sides by √3
\( \sqrt{3}*sin(45) = x \)
\( \sqrt{3}*\frac{\sqrt{2}}{2} = x \)
\( \frac{\sqrt{3*2}}{2} = x \)
\( \frac{\sqrt{6}}{2} = x \)
find the missing number of the unit rate
12/4=?/1
Answers
Answer: 3/1
Step-by-step explanation:
Your supposed to divide by 4 on the top and bottom.
12 4= 3
4 4 = 1
PLSSSSSSS HELPPPP THIS IS MATH HELP NEEDED
Answers
Answer: 1 = 7/3
Step-by-step explanation:
If the terminal side of an angle (θ) goes through the point (4 , -3) what is (θ)?
Answers
Answer:
The family of directions of the given vector is represented by \(\theta = 323.130^{\circ} \pm 360\cdot i\), \(\forall \,i\in \mathbb{N}_{O}\).
Step-by-step explanation:
According to the given information, vector stands in the 4th Quadrant (\(x > 0\), \(y < 0\)) and direction of the vector (\(\theta\)) in sexagesimal degrees, is determined by following definition:
\(\theta = 360^{\circ} - \tan^{-1} \left(\frac{|y|}{|x|} \right)\pm 360\cdot i\), \(\forall \,i\in \mathbb{N}_{O}\)
Please notice that angle represents a function with a periodicity of 360°.
If we know that \(x = 4\) and \(y = -3\), then the direction of the vector is:
\(\theta = 360^{\circ}-\tan^{-1}\left(\frac{|-3|}{|4|} \right)\pm 360\cdot i\)
\(\theta = 323.130^{\circ} \pm 360\cdot i\)
The family of directions of the given vector is represented by \(\theta = 323.130^{\circ} \pm 360\cdot i\), \(\forall \,i\in \mathbb{N}_{O}\).
Liam had a container of oatmeal that contained 5 1/2 cups oatmeal. Liam ate 4/9 cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal left in the container at the end of the five day week?
Answers
Answer: The answer Is B.3 Sorry If I'm wrong xoxo
Step-by-step explanation:
Answer:
A 2 1/2
Step-by-step explanation:
Write a part -to part ratio that compares the girls to boy . Write this in 3 different forms
Answers
The ratio of girls to boys is 4:5.
For every four girls that are in the camp, there are five boys.
The ratio of girls to boys is 4/5.
The ratio of boys to girls is 5:4.
The ratio of boys to girls is 5/4.
The ratio of boys to girls is 1 1/4.
What are the ratios?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign used to denote ratios is :.
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decide whether the difference represents a rational or an irrational number.
Answers
9514 1404 393
Answer:
irrational
Step-by-step explanation:
7 is not a square integer, so √7 is irrational.
When combined with rational numbers, the result will be irrational. Here, "combined" means √7 is multiplied by a rational number and the result subtracted from a rational number. Neither of those operations will give a rational result.
Summary
Give an example of a proportional relationship and write an equation that represents the relationship.
Answers
The proportional relationship is represented by the formula, y = kx, which demonstrates that y increases at the same rate as x does
Relationships between two variables that are proportional occur when their ratios are equal.
Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.The ratio of the constant values of two proportional quantities is known as the proportionality constant.When either the ratio or product of two changing values results in a constant, that pair of values is said to be in proportion.The Direct Variation and Inverse Variation types of proportions between the two provided values determine the value of the proportionality constant.The direct proportionality formula, y = kx, demonstrates that y increases at the same rate as x does. The cost per item (y), which is inversely proportional to the number of things purchased (x), is represented by the symbol y x.By using the indirect proportionality formula, y = k/x, it can be seen that when y rises, x falls, and vice versa.Therefore the proportional relationship is represented by the formula,
y = kx .
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find the missing side. round to the nearest tenth
Answers
The required angle is 24.5°.
Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,
To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.
The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.
In this case, the perpendicular side is 16 and the base is 35.
Let's denote the acute angle as θ.
Using the tangent function, we can set up the equation:
tan(θ) = perpendicular side / base
tan(θ) = 16 / 35
To find the value of θ, we can take the inverse tangent of both sides:
θ = tan⁻¹(16 / 35)
θ = 24.5°
Hence the required angle is 24.5°.
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HELP PLEASE FAST!! Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.
Answers
Answer:
26
Step-by-step explanation:
One leg measures 7.
One leg measures 8.
a² + b² = c²
7² + 8² = c²
c² = √113 = 10.630 = 11
perimeter = 7 + 8 + 11
perimeter = 26
Solve for x
there’s a 72 and x
Answers
Answer:
18
Step-by-step explanation:
90 - 72= 18
I hope this helps!
Line r is parallel to line s. First, label the diagram with arcs to show which angles are congruent to each other. Then, find the measure of angles a, b, c, d, e, f, and g.
Answers
The measure of angles are:
∠f = ∠135
∠e = ∠135
∠b = ∠135
∠c = ∠135
∠d = ∠135
∠a = ∠135
∠g = ∠135
What are transversal lines ?
In geometry, a transversal is any line that intersects two straight lines at distinct points
Corresponding Angles
The following pairs of angles are corresponding angles:
∠135 and ∠e
∠a and ∠d
∠c and ∠g
∠b and ∠f
Alternate Interior Angles
The following pairs of angles are alternate interior angles:
∠c and ∠d
∠b and ∠e
Alternate Exterior Angles
The following pairs of angles are alternate exterior angles:
∠135 and ∠f
∠a and ∠g
Co-interior Angles
The following pairs of angles are co-interior angles:
∠c and ∠e
∠b and ∠d
The angles are:
∠f = ∠135
∠e = ∠135
∠b = ∠135
∠c = ∠135
∠d = ∠135
∠a = ∠135
∠g = ∠135
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1. Which of the following values are greater than 20? Select ALL correct answers.
(3 Points)
81-43
52 +3
2 - 10
32 +42
Answers
Answer:81-43, 52+3, 32+42
Step-by-step explanation:Just do simple addition .
3. An architectural blueprint is drawn to a scale of 1:20.
a. A window on the blueprint measures 2 inches by 1 inches. What are the dimen-
sions of the actual window?
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Based on the given values above which is 2 inches: 1 foot, given that the mantel in the room has an actual width of 8 feet, this would mean that the width of the mantel in the blueprint would be 16 inches. 8 times 2 is 16.
Length is a dimension to be measured in either in horizontal or vertical position and always longer than breadth.Breadth is a dimension to measure in either in horizontal or vertical position and always lesser than length.Dimension is a measurement of something in a particular direction, especially its height, length, or width.In geometrical term demension is referred to length, breadth, and height An object can be either 2d or 3dcircle, rectangle,square are 2 dimensional object while cube, cuboid,cylinder is 3 dimensional objectone dimensional object is practically not found but in theory we consider to solve questions.To know more about dimension visit :
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Please help with this problem
Answers
Answer:
The length of the short side is 14.5 units, the length of the other short side is 18.5 units, and the length of the longest side is 23.5 units.
Step-by-step explanation:
The Pythagorean Theorem
If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
This relationship is represented by the formula:
\(a^2+b^2=c^2\)
Applying the Pythagorean Theorem to find the lengths of the three sides we get:
\((x)^2+(x+4)^2=(x+9)^2\\\\2x^2+8x+16=x^2+18x+81\\\\2x^2+8x-65=x^2+18x\\\\2x^2-10x-65=x^2\\\\x^2-10x-65=0\)
Solve with the quadratic formula
\(\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\)
\(x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)
\(\mathrm{For\:}\quad a=1,\:b=-10,\:c=-65:\quad x_{1,\:2}=\frac{-\left(-10\right)\pm \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}\\\\x_{1}=\frac{-\left(-10\right)+ \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}=5+3\sqrt{10}\\\\x_{2}=\frac{-\left(-10\right)- \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}=5-3\sqrt{10}\)
Because a length can only be positive, the only solution is
\(x=5+3\sqrt{10}\approx 14.5\)
The length of the short side is 14.5, the length of the other short side is \(14.5+4=18.5\), and the length of the longest side is \(14.5+9=23.5\).
Select all of the true statements for the following exponential function.
X: -1, 0, 1
Y: 1/3, 1/2, 3/4
f(x)= __ (__)^x+ ___
Answers
Answer:
Step-by-step explanation:
we can use the data points to write a system of equations to solve for the values of a and b in the general exponential function of the form f(x) = a(b)^x.
Using the data points, we get:
f(-1) = 1/3 = a(b)^(-1)
f(0) = 1/2 = a(b)^0 = a
f(1) = 3/4 = a(b)^1 = ab
Solving for a and b, we get:
a = 1/2
b = 3/4a = 3/4(1/2) = 3/8
Therefore, the exponential function that matches the given data points is:
f(x) = (3/8)^x + 1/2
Now we can evaluate the statements:
The base of the exponential function is 3/8. (True)
The function is decreasing. (False - since the base is between 0 and 1, the function is actually increasing)
The y-intercept of the function is (0, 1/2). (True)
The function passes through the point (2, 9/16). (False - the function is only defined for x = -1, 0, 1)
The function is concave up. (True)
Which comparison is not true 3.976>3.97 1.025<1.25 9.145>9.14 0.613>0.631
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The false comparison is 0.613>0.631.
Answer:
0.613 > 0.631
Step-by-step explanation:
Look into the digits from left to right when ever you are comparing numbers
I looked into the hundredths place and saw 1 and 3 in the places. 1 is NOT bigger than 3 so this is the comparison that is not true
Should be correct, if not then my life is a lie
What’s the area for this problem
Answers
Answer:
129.25
Step-by-step explanation:
Area of the rectangle
Area = L * W
L = 10
W = 9
Area = 9 * 10 = 90
Area of the1/2 circle
Area of a whole circle = pi * r^2
Area of a 1/2 circle = pi * r^2 /2
d = 10
r = d/2
r = 10/2
r = 5
Area of the 1/2 circle = 3.14 * 5^2 /2 = 39.25
Total 129.25
There are 3,072 books in the school library. If 96 students team up to read all the books and each student reads the same number of books, how many books will each student need to read? *
Answers
Answer:
32
Step-by-step explanation:
Equivlency:
3072/96 =32
A dairy needs 258 gallons of milk containing 7% butterfat how many gallons each of milk containing 8% butterfat and milk containing 2% butterfat must be used to obtain the desired 258 gallons
Answers
Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.
The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.
To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.
For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).
For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).
Since we want the final mixture to contain 7% butterfat, we can set up the following equation:
0.08x + 0.02y = 0.07(258)
Simplifying the equation, we have:
0.08x + 0.02y = 18.06
To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.
Substituting this value into the equation above, we get:
0.08x + 0.02(258 - x) = 18.06
Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.
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write 1/4 in a decimal and percent
Answers
Answer:
0.25 and 25%
Step-by-step explanation:
25% is the same as 1/4
0.25 is the same as 1/4
Answer:
1/4 = 0.25
1/4 = 25%
1/4 or 1 divided by 4 equals 0.25 (decimal) and 25% (percentage).
I am trying to help my grandson understand comparing the value of underlined digits. Such as 40 and 400
Answers
Answer:
The value of 4 in 400 is 10 times the value of 4 in 40.
Step-by-step explanation:
Given : 40 and 400.
To find : compare the values of the underlined digits .
Solution : We have given 40 and 400.
In 400
4 is place at hundred place
The value of 4 in 400 is 4 hundred.
In 40
4 is place at tens place
The value of 4 in 40 is 4 tens.
ON comparing
The value of 4 in 400 is 10 times the value of 4 in 40.
Therefore, The value of 4 in 400 is 10 times the value of 4 in 40.
*copied from Brainly User PiaDeveau*
Q1) (a) (i) Write x²+8x-9 in the form (x+k)² +h.
PLEASE ANSWER QUICKLY!!!!!
Answers
Answer:
(x+4)^2 -25
Step-by-step explanation:
x²+8x-9 in the form (x+k)² +h.
We need to complete the square.
x^2 +8x -9
Take the coefficient of x.
8
Divide by 2.
8/2 =4
Square it.
4^2 = 16
Add this then subtract i.
x^2 +8x+16 -16 -9
The x^2 +8x+16 becomes (x+4) ^2 and we can simplify the remaining terms.
(x+4)^2 -25
I'LL MARK THE BRAINLIEST!
What is the best approximation of the area of a circle with a diameter of 17 meters?
Use 3.14 to approximate pi.
Answers
the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99m².
Why it is and what is diameter?
The diameter of the circle is 17 meters, which means the radius is half of the diameter, or 8.5 meters.
The formula for the area of a circle is:
A = πr²2
where A is the area and r is the radius.
Substituting the value of the radius into the formula, we get:
A = 3.14 x 8.5²2
A = 3.14 x 72.25
A ≈ 226.99
Therefore, the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99 m².
In geometry, the diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord (a line segment connecting any two points on a circle) of the circle, and it divides the circle into two equal halves, also known as hemispheres.
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IF G and R denote the grade and the radian measure of an angle, then prove that G/200 = R/pie
Answers
Solution:
Given;
IF G and R denote the grade and the radian measure of an angle, i.e.
Where
\(\)enter your answer in scientific notation
Answers
Answer:
\(1.7x10^{4}\)
Step-by-step explanation:
To divide the scientific notation, divide 5.1 to 3 then subtract the exponents of your ten - following the quotient rule.
5.1/3 = 1.7, then 9-5 = 4
final answer is \(1.7x10^{4}\)
Choose the sentence with correctly placed commas.
Question 2 options:
A. New students, experience social stress to say the least, on top of the stress of change.
B. New students experience social stress, to say the least, on top of the stress of change.
C. New students experience social stress, to say the least on top of the stress of change.
D. New students experience social stress to say the least, on top of the stress of change.
Answers
Answer:
Step-by-step explanation:
Option D