POSSIBLE POINTS: 5.26
What is the volume of a rectangular solid with a length of 12 feet, a width of 3 feet, and a height of 4 feet

Answer:

0.34

Step-by-step explanation:

Percentages can be changed to decimals by dividing by 100 (or moving the decimal left two places).

Decimals can be changed to percentages by multiplying by 100 (or moving the decimal right two places).

Since 34% can be written as 34.0%, we divide by 100 and move the decimal left two places so it becomes 0.34.

Answer:

$43.24

Step-by-step explanation:

First, find the amount of $ she deposited and spent separately.

She deposited 22 in her first week and then 38.5 on the next week. This is a total of $60.50.

The first week, she spent 7.27, then next week, 9.99. This means she spent a total of $17.26.

Second, subtract the total $ she spent from the amount she deposited.

$60.50 - $17.26 = $43.24

Answer:

she has $43.24 left in her bank account .

Answer:

B. 81 m²

Step-by-step explanation:

6x10 = 60

7x6 = 42

42/2 = 21

60+21 = 81

Answer:

B) 81 meters squared

Step-by-step explanation:

rectangle = 6 * 10 = 60

triangle = .5 * 6 * 7 = 21

60+21 = 81

The boat travels at  18 miles per hour.

What is speed?

Speed is calculated as follows: speed = distance / time. Knowing the units for distance and time is necessary to calculate the units for speed.

The rate at which an object travels a certain distance can be described using the speed formula. The distance that a body travels in a certain amount of time is a common way to measure speed.

Given:  A boat travels 30 miles up the river in the same amount of time it takes to travel 42 miles down the same river. The current is 3 miles per hour.

From the above information we can write,

Let, u is the boat speed in still water, then

\(\frac{30}{u-3} = \frac{42}{u+3}\)

Taking cross multiplication,

30(u + 3) = 42(u - 3)

Solving,

30u + 90 = 42u - 126

42u - 30u -126 -90 = 0

12u = 216

u = 18

Therefore, the speed of boat in still water is, 18 miles per hour.

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Answer:

  90°; 55°; 35°; 110°; 70°

Step-by-step explanation:

A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.

Each of the triangles is isosceles. The figure is symmetrical about its center.

An exterior angle to a triangle is equal to the sum of the remote interior angles.

__

∠SRT = 90° . . . . a corner angle

∠STR = 55° . . . . symmetrical to the given angle

∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°

∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP

∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT

_____

There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.

The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.

Answer:

126 people

Step-by-step explanation:

9/5 is the ratio tea/coffee

let x be the one who preferred coffee and x+36 preferred tea

9/5=x+36/x

9x=5x+5(36)

9x-5x=180

4x=180

x=180/4=45

x=45 coffee

x+36=45+36=81

45+81=126

check : 81/45= 9/5

Answer:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to y=3x−5. y=−13x−2

Step-by-step explanation:

Answer:

(2) 22.44 cm^2

Step-by-step explanation:

A = bh/2

A = (8.8 cm)(5.1 cm)/2

A = 22.44 cm^2

Answer:

22.44 cm^2

Step-by-step explanation:

8.8 - 7.6 = 1.2

1.2 · 5.1 = 6.12 / 2 = 3.06

7.6 · 5.1 = 38.76 / 2 = 19.38

19.38 + 3.06 = 22.44 cm^2

Answer:

This is not a real question rephrase

Step-by-step explanation:

Answer:

a = 133 degrees

b = 78 degrees

Step-by-step explanation:

the top and bottom lines are parallel.

the two sidelines are lines that intercept the top and bottom lines.

as they intercept parallel lines, they actually must have the same angles with them.

so, the 47 degrees inner angle at the bottom line, must be also somewhere at the interception point with the top line. and right, it must be now mirrored the outward angle at the top line. and that means a (the inward angle at the top line) is also the outward angle at the bottom line.

the sum of inward and outward angles at a point must always be 180 degrees.

so, the outward angle of 47 = the inward angle a =

= 180 - 47 = 133 degrees.

similar in the other side.

102 is the inward angle.

the outward angle of that is 180 - 102 = 78 degrees.

and that is also the inward angle b.

b = 78 degrees

Answer:

true

Step-by-step explanation:

A correlation is symmetrical;x is as correlated with y as y is with x. The Pearson product-moment correlation can be understood within a regression context,however.

Answer:

904

Step-by-step explanation:

According to PEMDAS, we must multiply 100 and 9 first, which gets us 900. Then divide 12 by 2, which gets us six. 900 - 2 + 6 = 898 + 6 = 904.

Answer:

904

Step-by-step explanation:

100 * 9 = 900 -2 =898 +12/2 →898+6= 904

12/2 = 6

Have a good day and stay safe!

Answer:

Can 0.5 be written as 0½?

Answer:

B. -h

Step-by-step explanation:

Additive inverses are two numbers that add to 0.

h + (-h) = 0

-h is the additive inverse of h since h and -h add to 0.

Answer: B. -h

Answer:

-h

Step-by-step explanation:

The additive inverse of a number simply means that same number, but with an opposite sign. For example:

Additive inverse of 9 = -9

Additive inverse of -2 = 2

Additive inverse of -(-6) = -6

Additive inverse of -(+4) = 4

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Whole numbers are the integers that are greater or equal to 0. Basically, they are 0, 1, 2, 3....

Rational numbers can be written in the form a / b (where b ≠ 0 and a and b are integers (integers are ..., -1, 0, 1, ...))

Therefore, 4 rational numbers that are not whole numbers could be -5, -1, 0.5, and 3/4.

Answer:

70in.

Step-by-step explanation:

Since the given formula for perimeter is \(2l + 2w\), all that's needed is to fill in the blanks with the numbers they give us.

\(2l + 2w\)                  (Fill in for given length and width)

\(2(20)+2(15)\)         (Multiply)

\(40 + 30\)                  (Add)

\(70\)

It tells us that length (\(l\)) is 20 and that width (\(w\)) is 15. So all that we have to do is use the equation it gave us to solve the equation.

I hope this helped :)

Step-by-step explanation:

Hey there!

Here;

Length (l) = 20 in

Width (w) = 15 in

Perimeter(p) = ?

We have;

Perimeter of rectangle (p) = 2l + 2w

= 2(l+w)

= 2(20+15)

= 2*35

= 70 inches

Therefore, perimeter of rectangular picture is 70 inches.

Hope it helps!

Answer:

y = 23x - 136

Step-by-step explanation:

Since the lines are parallel, they have the same slope. So, the slope of the new line is 23 as well.

Now we have: y = 23x + b

plug in the points that are on this line (6,2) :

2 = 23 x 6 + b

2 = 138 +b

-136 = b

Line: y = 23x - 136

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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Answer:

rational number

Step-by-step explanation:

As it is a terminating decimal number, it is rational and can be written as \(-\frac{2401}{10} \)

Answer:

1. How many packages are delivered each hour.

2. Find the correlating variable on the graph.

3. 105 packages

4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.

Comment after u have seen my answer

Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.

To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.

In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.

In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.

In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.

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Answer:

25n

Step-by-step explanation:

product of n and 25

Product means multiply

25n

Answer:

The intersection is B

Step-by-step explanation:

It is B because every line meets up at the same spot which is B.

Please mark branliest if this helped you!

By definition, the x-coordinate of the terminal point is equal to cos t and the y-coordinate is equal to sin t. This allows us to easily find the values of sin t and cos t. To find tan t, we use the formula tan t = sin t / cos t, which we can substitute with our previously found values for sin t and cos t.

First need to understand what is meant by the terms "terminal point" and "unit circle". The unit circle is a circle with a radius of 1, centered at the origin of the coordinate plane. The terminal point is the point where the circle intersects with a line that starts at the origin and passes through an angle t measured in radians.
To find sin t and cos t, we need to look at the coordinates of the terminal point. Let's call the x-coordinate of the terminal point x' and the y-coordinate y'. By definition, x' = cos t and y' = sin t. Therefore, sin t = y' and cos t = x'.
To find tan t, we use the formula tan t = sin t / cos t. Substituting in our values for sin t and cos t, we get:
tan t = y' / x'
So, to summarize:
- sin t = y'
- cos t = x'
- tan t = y' / x'
In summary, we can use the unit circle to determine the values of sin t, cos t, and tan t for any angle t measured in radians. The terminal point on the unit circle is the point where the circle intersects with a line passing through the origin at angle t.

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Answer:

x = 1/2 or x = 2/3

Step-by-step explanation:

6x^2 = 7x - 2

=> 6x^2 - 7x + 2 = 0

=> 6x^2 - 3x - 4x + 2 = 0

=> 3x (2x - 1) -2 (2x - 1) = 0

=> (2x - 1) (3x - 2) = 0

2x - 1 = 0

=> 2x = 1

=> x = 1/2

or

3x - 2 = 0

=> 3x = 2

=> x = 2/3

Hopefully this helps!!

Answer:

x = \(\frac{2}{3}\) , x = \(\frac{1}{2}\)

Step-by-step explanation:

6x² = 7x - 2 ( subtract 7x - 2 from both sides )

6x² - 7x + 2 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 2 = 12 and sum = - 7

The factors are - 3 and - 4

Use these factors to split the x- term

6x² - 3x - 4x + 2 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 1) - 2(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(3x - 2) = 0

Equate each factor to zero and solve for x

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \(\frac{2}{3}\)

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = \(\frac{1}{2}\)

If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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An equation is a statement that two expressions are equal and can be solved to find a value for the variable. On the other hand, an identity is a statement that is true for all values of the variable.

In the equation 2(x + 3) = 10, the goal is to find a value of x that makes the equation true. By simplifying the left-hand side of the equation, we get 2x + 6 = 10, and then by subtracting 6 from both sides, we get 2x = 4, and finally, by dividing both sides by 2, we get x = 2. So the solution to the equation is x = 2.

In the identity 2(x + 3) = 2x + 6, the left-hand side and right-hand side are already equal for all values of x. There is no need to solve for x, as the statement is true regardless of what value x takes.

Answer:

The correct answer is,

\( \frac{ {q}^{2} }{4} + 7\)

Answer:

c

Step-by-step explanation:

Answer:

10 x 3 + 30 and can anwer the other one im working at school rn

Step-by-step explanation: