Question
Question: 1-1
AACPS Geometry Standard Assess Q3 20-21 ONLINE
Selected Response: 1 point for answer only.
Examine the figure below
Note: Figure
not drawn to
scale.
The Mars Rover Curiosity is sending signals that it is driving into a crater at an angle of depression of 53º.
If the rover covers a horizontal distance of 110 meters, what vertical distance has it traveled? Round your answer to the nearest thousandth.
O 137.735 meters
82.891 meters
87.850 meters
145.975 meters
Constructed Response: Work and answer will be scored on a 3 point rubric. Please answer in the space provided.
After conducting a few experiments, the rover completes its journey by exiting the crater at a different location from where it entered. The rover travels up and out
Pause
Next
e

Answer:

SSA the only other right one missing is ASA

Answer:

$48.66

Step-by-step explanation:

$45.99 x 1.058 = 48.65742

The distance between the points (−3, −5) and (9, −5) is the difference in the absolute value of the x-coordinates.

What are coordinates?

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

Given points are (−3, −5) and (9, −5).

The separation between two points, if the coordinate points are in the same quadrant, is equal to the difference between the larger absolute value and the smaller absolute value of the coordinates.

The distance between the two points is

|9| + |-3|

= 12

Since the x-coordinate of (−3, −5) is negative.

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Complete Question

The standard deviation of samples from supplier A is 0.4582, while the standard deviation of samples from supplier B is 0.3358. Which supplier would you be likely to choose based on these data and why?

1 Supplier A, as their standard deviation is higher and, thus easier to fit into our production line

2 Supplier B, as their standard deviation is higher and, thus, easier to fit into our production line

3 supplier B, as their standard deviation is lower and, thus, easier to fit into our production line

4 Supplier A, as their standard deviation is lower and, thus, easier to fit into our production line

Answer:

Option 3 is  correct

Step-by-step explanation:

From the question we are told that

     The  standard deviation of A is  \(\sigma_a = 0.4582\)

      The  standard deviation of B is  \(\sigma _b = 0.3358\)

Generally standard deviation defines the deviation element of a data set with respect to the mean of the set

So sample  it mean that samples from A deviates more from it mean(the standard value) than the samples from B so the best supplier to chose is B

Answer:

560 hamsters

Step-by-step explanation:

==> 50 + 40% = 70

==> multiply 70 by 8 years

==> 70 × 8

==> 560

The radius of the Earth's orbit around the sun is approximately 93 million miles.

To calculate the circumference of the Earth's orbit, we can use the formula:

C = 2πr

where C is the circumference and r is the radius. Plugging in the value for the radius, we get:

C = 2π(93,000,000) = 584,336,000 miles

So the Earth travels approximately 584,336,000 miles in one orbit around the sun.

The speed of the Earth in its orbit around the sun can be calculated using the formula:

v = 2πr/T

where v is the velocity, r is the radius, and T is the period (the time it takes for the Earth to complete one orbit). The period of the Earth's orbit is approximately 365.25 days, or 31,557,600 seconds.

Plugging in the values, we get:

v = 2π(93,000,000)/(31,557,600) = 29,784 miles per hour

So the Earth travels at approximately 29,784 miles per hour in its orbit around the sun.

Answer:

13+34=47

Step-by-step explanation:

Let us call the number x

13+x=47

so we can assume

47-13=x

47=13=34

13+34=47

The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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The answer to the expression is  (x+3)/(x-1)

You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0

The given expressions are

(x² - 3x - 18) / (x²- 7x +6

(x²-6x +3x +19) / (x²-x -6x +6)

This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}

⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]

This means that [(x+3)(x-6)] / [(x-6)(x-1)]

Dividing by (x-6) to have

Therefore the value of the expression is (x+3)/(x-1)

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The present p value which have to be invest in future is $7619.05 at simple interest rate r.

Simple Interest:

Simple interest (S.I) is a method of calculating the amount of interest on a specific amount of money.

The simple interest formula helps determine the amount of interest given a principal, interest rate, and term.

The formula for simple interest is:

SI = PTR/100

where SI = simple interest

P = principal

R = interest rate (percentage)

T = term (years)

For calculating total amount

             Amount (A) = principal Book (P) + Interest (I)

where

Amount (A) is the total amount repaid at the end of the borrowed period.

The simple interest total amount formula can also be written as:

                                    A = P(1 + RT)

where

A = Total amount after specified period

P = Principal or original loan amount

R = Interest rate (annual)

T = Time (annual )

According to the Question:

Simple interest: I = PTR            ---------------------------- (1)

Future amount : A = p + I = p + PTR         ------------------ (2)

Given that:

r = 10% = 0.1

t = 6 months = 0.5 year

A = future amount = 8000

Now,

8000 = p + p (. 1)(0.5)

⇒ 8000 = 1.05 p

⇒ p = 8000/1.05

⇒ p = $ 7,619.05

Now,

Putting the value of p in equation (2)

I = 7619.05 (0.1) (0.5 ) = 380.95

7619.05 + 380.90 = $8,000

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\((\stackrel{x_1}{40}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{20}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-2}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{20}-\underset{x_1}{40}}} \implies \cfrac{ -2 }{ -20 } \implies \cfrac{ 1 }{ 10 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{ \cfrac{ 1 }{ 10 }}(x-\stackrel{x_1}{40})\implies {\Large \begin{array}{llll} y=\cfrac{1}{10}x+4 \end{array}}\)

Answer:

84 degrees

Step-by-step explanation:

180-96=84

An exponential decay model is given in the form:

where a is the initial population and r is the decay rate in fraction.

From the question, we have the following parameters:

Therefore, the exponential model is given to be:

From the options provided, there might be no need to solve any further to get the time when the population will be less than 50. However, we can solve it as shown below:

This means that it would take greater than 15 years for the population to get less than 50, approximately 16 years.

The correct option is the SECOND OPTION.

Answer:

4:1

Step-by-step explanation:

Answer: y= -1/2x - 2.5

Step-by-step explanation:

Slope: y= mx+ b

m being the slope

b being the y intercept

You're given the slope, so you substitute m for -1/2

y=mx+b

y =  -1/2x + b

You have the coordinates (5, -5) which you can substitute (the line passes through that point.)

-5 = -1/2(5) + b

-5 = -2.5 + b

+2.5   +2.5

-2.5= b

y= -1/2x + 2.5

Check:

-5 = -1/2(5) - 2.5

-5 = -2.5 - 2.5

-5 = -5

Answer:

379,000

Step-by-step explanation:

Answer:

39.80°

Step-by-step explanation:

Find the diagram attached

Given the following

Opposite side = 5m

Adjacent = 6m

Required

Angle Ø

Using the SOH CAH TOA identity

Tan Ø = opposite/adjacent

Tan Ø  = 5/6

Tan Ø  = 0.8333

Ø = arctan(0.8333)

Ø = 39.80°

Hence the measure of the angle represented by Ø is 39.80°

Answer

C

Step-by-step explanation:

on edge

On solving the provided question, we got to know that - the  cost of common equity is 11.84

Equity in mathematics education is defined by the National Council of Teachers of Mathematics as high standards and rewarding opportunities for everyone, addressing disparities to assist all kids learn mathematics, and making sure that all classrooms have resources and support for students.

here, the above question we have  -

D0 = $0.85;

P0 = $22.80;

g = 7.00%

  = 700

Answer is  -  The  cost of common equity is 11.84

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Answer:

Line H, the third option

Step-by-step explanation:

First, find the value of x

X is strictly less than 6, so the answer cannot include 6

The less than sign (<) tells you the line should be pointing to the left

Answer:

What do you need help with mate?

Step-by-step explanation:

you don't have a question posted.

Graph (c.) is  the image of ∠A following a reflection in the x-axis.

The study of geometry using coordinate points is known as coordinate geometry (also known as analytical geometry). It is possible to determine the separation between two points, divide a line into m:n segments, locate a line's midpoint, determine the area of a triangle in the Cartesian plane, and perform other operations using coordinate geometry.

Changing the sign of the y-variable of the coordinate point is the formula for reflection over the x-axis. Sending the point (x,y) (x,-y). The output variable of an equation is multiplied by -1: y=f(x) becomes y=-f(x).

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Answer:the last pic your linked.

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

First we can solve the area of the rectangle originally the answer is:

4 × 2 = 8

Then we decrease both measurements by 50% to get the dimensions 1 and 2. The new area will be 1 × 2 which is 2.

2 is 25% of 8 which means that the area of the rectangle has been reduced by 75%.

√(a² + b²)²  - 4a²b²cos²θ is the product of the lengths of the two diagonals is given by the expression.

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.

                                An expression's structure is as follows: Number/variable, Math Operator, Number/Variable is an expression.

we have AB as a, AD as b and the angle between them is theta.

So using the cosine rule, we have

  BD = √a² + b² - 2abcosθ

So now consider the triangle ABC

Here AB is a, BC is b and the angle is 180-theta

So using cosine rule, we get AC as

   AC = √a² + b² - 2abcosθ( 180 - θ )

    AC = √a² + b² - 2ab(-cosθ )

    AC = √a² + b² - 2abcosθ

Now we have the two diagonals AC and BD. So multiplying, we get

 AC × BD = √a² + b² + 2abcosθ × √a² + b² - 2abcosθ

Simplifying, we get

AC × BD = √(a² + b² + 2abcosθ) × (√a² + b² - 2abcosθ)

AC × BD = √(a² + b²)² - (2abcosθ)²

AC × BD = √(a² + b²)²  - 4a²b²cos²θ

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Answer:

the volume is 157.08

Step-by-step explanation:

formula is v=1/3hπr²

1: V=1/3(6)π(5)²

2. V=1/3(6)π(25)

3:V=2*π*25

4: V=157.079

The statement that is true about the points shown below is: "The distance between them is zero because they have the same y-coordinate."

The distance between two points is typically calculated using the distance formula, which involves the difference between their x-coordinates and y-coordinates. However, in this case, the statement specifies that the points have the same y-coordinate.

The y-coordinate represents the vertical position on a graph, while the x-coordinate represents the horizontal position. When two points have the same y-coordinate, it means they lie on the same horizontal line.

Since distance is measured in a straight line, and these points are already on the same horizontal line, their distance from each other is zero. This is because they are effectively occupying the same position along the horizontal axis.

In summary, when two points have the same y-coordinate, their distance from each other is zero. This is because they lie on the same horizontal line and are already as close to each other as possible in the horizontal direction.

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The dimensions are 7 inches by 17 inches.

What is the area of rectangle?

Let the length be l inches

Let the breadth be b inches

Area = l*b

We can find dimensions as shown below:

Let the length be x inches

Let the width be y inches

Area = 119 square inches

x=3+2y             (1)

Area = l*w

119 = x*y

Putting value of x

119 = (3+2y) *y

119 = 3y+2y^2

2y^2+3y-119=0

2y^2-14y+17y-119=0

2y(y-7) +17(y-7) =0

(y-7) (2y+17) =0

y=7, -17/2

y cannot be negative

so, y = 7

Putting in equation (1)

x=3+2(7)

= 3+14

= 17

Hence, the dimensions are 7 inches by 17 inches.

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Answer:

False. The center of a semisimple Lie algebra is usually not trivial.

Step-by-step explanation:

The center of a semisimple Lie algebra is the set of elements of the Lie algebra that commute with all other elements in the algebra. In most cases, the center of a semisimple Lie algebra is not trivial, meaning it contains at least one non-zero element. For example, the center of the simple Lie algebra sl(2,C) contains the two-dimensional Lie algebra spanned by the scalar matrices I and -I. The center of the Lie algebra so(5,C) is spanned by the five-dimensional Lie algebra spanned by the matrices diag(1,1,1,-1,-1). These examples demonstrate that the center of a semisimple Lie algebra is usually not trivial.

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Step-by-step explanation:

y = -0.25x + 2

The slope is the coefficient of x, which is -0.25.

y-intercept is the constant term, which is 2.

When y = 0, -0.25x + 2 = 0, -0.25x = -2, x = 8.

=> x-intercept = 8.

Answer:

C

Step-by-step explanation:

The answer is c because the point where they meet is -6 so it has to be all real number greater than.