1 The rectangle below represents the base of a rectangular prism. The rectangle is 4 cm by 5 cm. The height of the rectangular prism is 12 cm. What is the volume of the rectangular prism?
Answers
Answer:
240 cm^3
Step-by-step explanation:
Volume of a rectangular prism = base area x height
the base is a rectangle, thus base area = width x length = 4 x 5 = 20 cm^2
20cm^2 x 12 = 240 cm^3
Related Questions
the blue lake trail is 11 3/8 miles long. Gemma has hiked 2 1/2 miles each hour for 3 hours . how far is she from the end of the trail
Answers
Gemma has hiked a total of:
2 1/2 miles/hour × 3 hours = 7 1/2 miles
To find how far she is from the end of the trail, we can subtract the distance she has hiked from the total length of the trail:
11 3/8 miles - 7 1/2 miles = 3 7/8 miles
Therefore, Gemma is 3 7/8 miles from the end of the trail.
Write these values in order, starting with the smallest.
0.5
1/5
5%
Answers
Answer:
5% is the smallest (so it comes first) 1/5 (comes next) and 0.5 is the largest.
Step-by-step explanation:
The smallest value is 5%. Why? Well, if you convert 5% into decimal form, it comes out to 0.05. 1/5 converted to decimal form is 0.2. As you can see, 5% out of all of these is the smallest. So in order, it is 5%, 1/5, 0.5.
Hope this helps! Have an amazing day! :D
Each leaf of a certain double-leaf drawbridge is 130 feet long. If 130 ft an 80-foot wide ship needs to pass through the bridge, what is the minimum angle 0, to the nearest degree, which each leaf of the bridge should open so that the ship will fit
Answers
The minimum angle that each leaf of the bridge should open is 47 degrees.
How to calculate the angleWe can use the cosine function to solve this problem. The cosine function gives the ratio of the adjacent side to the hypotenuse of a right triangle. In this case, the adjacent side is the distance between the pivot point and the ship, which is 90 feet. The hypotenuse is the length of each leaf of the bridge, which is 130 feet.
The cosine function is defined as:
cos(theta) = adjacent / hypotenuse
cos(theta) = 90 / 130
theta = cos^-1(90 / 130)
theta = 46.2 degrees
The nearest degree to 46.2 degrees is 47 degrees.
Therefore, the minimum angle that each leaf of the bridge should open is 47 degrees.
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1) Two angles having the same vertex and sharing a common arm are called _______ angles *
Answers
Answer:
adjacent angles
TARGET TAS
The average American household spends about $40,000 each year. If there are about 1 x 10 households, what is the
total amount of money spent by American households in one year? Write your answer in scientific notation and
standard form.
Answers
Answer: Part A: x = 6 Step-by-step explanation: 5(x + 2) = 6x + 3x - 14 use the distributive property for the left side of the equation (in case you don't know, * means multiply) combine like terms on the right of the equation. Move the +10 on the left to the right (change the + to a - ) Move the +9x on the right to the left (change the + to a - ) All the like terms are together so now you can combine them. Divide both sides by -4 so the x is by itself x = 6
Answers
Answer:
5x+10=6x+3x-14
5x+10=9x-14
-5x -5x
10=4x-14
-14 -14
-4=4x
÷4 ÷4
x= -1
Pleaseeee help I’m so confused
Answers
Answer:
D
Step-by-step explanation:
if you move the preimage on the image you can see that the two figures are equals
a scale drawing of a plaza is shown
Answers
In order to find the actual length of the 4 inches side, we can use the following rule of three:
\(\begin{gathered} 9\text{ inches}\to36\text{ yards} \\ 4\text{ inches}\to x\text{ yards} \\ \\ \frac{9}{4}=\frac{36}{x} \\ \frac{1}{4}=\frac{4}{x} \\ x=4\cdot4 \\ x=16 \end{gathered}\)So the actual length of this side is 16 yards, therefore the correct option is B.
In the complex plane, the rectangular coordinates (x, y) represent a complex number. Which statement explains why polar coordinates (r, θ) represent the same complex number?
Answers
Answer: second option (counting from the top)
Step-by-step explanation:
When we have a number:
z = x + y*i
we can represent this with the point:
(x, y).
Now, remember that in polar coordinates, we need to use the variables:
r = distance to the (0, 0), or the "magnitude" of the point.
θ = angle measured counterclockwise from the x-axis.
r is easy to find, is the magnitude, this is calculated as:
r = √(x^2 + y^2)
To find θ, suppose that we have a triangle rectangle, where x is the adjacent cathetus, and y is the opposite cathetus, and θ is the angle as we described it.
We know that:
Tan(θ) = opposite cathetus/adjacent cathetus = y/x
Tan(θ) = y/x
Then:
θ = Tan^-1 (y/x)
Then the correct option is the second option (counting from the top)
Answer:
its b
Step-by-step explanation:
trust
Need help ASAP please
Answers
Answer:
5 inches is 5 times as big as 1 inch.12.7 centimeters is 5 times as big as 2.54 centimeters.Step-by-step explanation:
5 ÷ 1 = 512.7 ÷ 2.54 = 5I hope this helps!
find the general solution of the following equation: (2x/y -
y/(x^2+y^2))dx + (x/(x^2+y^2) - x^2/y^2) dy = 0
Answers
To find the general solution of the given equation, (2x/y - y/\((x^2+y^2)\))dx + (x/\((x^2+y^2)\)- \(x^2/y^2\))dy = 0, we can treat it as a homogeneous differential equation. By introducing a substitution u = x/y, we can transform the equation into a separable form and solve for y in terms of x.
Let's consider the substitution u = x/y. By substituting y = ux into the given equation, we have (2ux - u/\((1+u^2)\))dx + (x/\((1+u^2)\) - \(x^2/u^2\))dy = 0. Simplifying further, we obtain (\(2ux^2 - u)dx + (x - x^2/u^2\))dy = 0.
Now we have a separable equation in terms of u and x. Rearranging the terms, we get\((2ux^2 - u)dx = (x^3 - x^2)dy\). Dividing both sides by\(x^2,\) we have (2u - 1/x)dx = (x - 1)dy.
Integrating both sides with respect to their respective variables, we get ∫(2u - 1/x)dx = ∫(x - 1)dy. This yields \(u^2 - ln|x| = x^2/2 - x + C\), where C is the constant of integration.
Finally, substituting u = x/y, we have \((x/y)^2 - ln|x| = x^2/2 - x + C\), which is the general solution of the given differential equation.
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Please help if you know the answer please
Answers
Hope this helps
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Let me know if this is wrong
Have a good day
..;)
Answer:
i think the answer is b. 0.19
Step-by-step explanation:
let me know if this is incorrect
Is line used to define an angle?
Answers
Yes, line is used to define an angle.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
When two straight lines or rays intersect at a single endpoint, an angle is created.
The vertex of an angle is the location where two points come together.
The common point is referred to as the vertex.
The length of the angle formed when two rays or arms intersect at a common vertex is known as an angle measure in geometry.
A straight line is a straight angle.
Therefore, two lines are used to define an angle.
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a.When the numerator and the denominator have no common factor other than 1; he fraction is either a proper fraction or mixed number
Answers
Answer:
The fraction is a proper fraction (and irreducible)
Step-by-step explanation:
Given
\(x = Numerator\)
\(y = Denominator\)
\(Common\ factor = 1\)
Required
The type of fraction
A fraction with the given features is a proper fraction and cannot be further reduced.
Take for instance:
\(x = 2\)
\(y = 7\)
The only common factor between \(2\ and\ 7\) is 1
\(\frac{x}{y} = \frac{2}{7}\)
See that 2/7 is a proper fraction and also 2/7 cannot be reduced (simplified)
The above logic is applicable to all fraction that have the attribute stated in the question (e.g. 3/7, 3/8, 4/9, 7/10, etc.)
an economic signal is
Answers
Answer:
An economic signal is described as any piece of data or information which allows people to optimize their decision-making process and make comparatively better decisions economically.
Step-by-step explanation:
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Select the correct answer from each drop-down menu.
AABC has vertices at A(11,6), B(5, 6), and C15, 17).
AXYZ has vertices at X(-10,5), Y-12, -2), and 2-4,
15).
AMNO has vertices at M-9,-4), M(-3,-4), and 0-3, -15).
A/KL has vertices at (17, -2), K112,-2), and L(12,7).
APQR has vertices at A12, 3), 0112,-2), and R(3,-2).
can be shown to be
_______congruent by a sequence of reflections and translations.
________can be shown to be congruent by a single rotation.
Answers
Answer: B: triangle ABC and triangle MNO
the second one is C: triangle JLK and triangle PQR
Step-by-step explanation: Plato
AABC and AMNO can be shown to be congruent by a sequence of reflections and translations.
What are vertices?A vertex (plural: vertices) is a point in geometry where two or more straight lines intersect.
Vertices are typically the corners or points where the curve changes direction in two-dimensional shapes such as triangles, rectangles, and circles.
Vertices are the points where the edges of three-dimensional shapes such as cubes, pyramids, and spheres meet. Vertices is the plural of vertex.
AABC and AMNO can be shown to be congruent by a sequence of reflections and translations.
AXYZ can be shown to be congruent by a single rotation.
KL and APQR cannot be shown to be congruent by either a sequence of reflections and translations or a single rotation.
Thus, this can be the answer for the given scenario.
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please can someone help me
Answers
9514 1404 393
Answer:
BD < DC < BC < AC < AB
Step-by-step explanation:
The law of sines can be used to figure this. First we need to know the unmarked angles.
∠ABC = 180° -50° -67° = 63°
∠BCD = 180° -57° -72° = 51°
The law of sines tells us the ratio of side lengths is equal to the ratio of opposite angles. Since side BC is common to both triangles, we can let it have a measure of 1. Then the lengths we develop for the other sides represent their ratio to the length of BC.
AB/sin(C) = BC/sin(A) ⇒ AB = sin(C)/sin(A) = sin(67°)/sin(50°) ≈ 1.202
BD/sin(C) = BC/sin(D) ⇒ BD = sin(C)/sin(D) = sin(51°)/sin(72°) ≈ 0.817
AC/sin(B) = BC/sin(A) ⇒ AC = sin(B)/sin(A) = sin(63°)/sin(50°) ≈ 1.163
BC = 1 . . . . by definition above
DC/sin(B) = BC/sin(D) ⇒ DC = sin(B)/sin(D) = sin(57°)/sin(72°) ≈ 0.882
The relative lengths from least to greatest are ...
0.817 (BD), 0.882 (DC), 1.000 (BC), 1.163 (AC), 1.202 (AB)
Then the order of sides is ...
BD < DC < BC < AC < AB
__
The triangle solver results attached confirm these values. In the second attachment, node D is represented by node A.
_____
Additional comment
Angles B and C are ambiguous angle designators, as there is one such angle in each of the two triangles. We trust you can figure which one is meant by considering the angle measure and the other angle in the proportion. The law of sines only pertains to angles that are inside the same triangle.
Find the solution to the following system using substitution
y = 3x+1
y=-x+5
A.(2,7)
B.(1,4)
C.(2,3)
D.(0,1)
Answers
If a point (x, y, z) is to be translated by an amount dx, dy and dz respectively, then what will be the value of the new translated points (x1, y1, z1)?
a) x1 = x
y1 = y
z1 = z
b) x1 = dx
y1 = dy
z1 = dz
c) x1 = x + dx
y1 = y + dy
z1 = z + dz
d) x1 = x – dx
y1 = y – dy
z1 = z – dz
Answers
according to question The correct answer is (c) x1 = x + dx, y1 = y + dy, z1 = z + dz.
To translate a point (x, y, z) by an amount dx, dy, and dz, we need to add these amounts to the corresponding coordinates of the point. Therefore, the new translated point will have coordinates (x+dx, y+dy, z+dz), which is option (c).
Option (a) is incorrect because it is the original point without any translation.
Option (b) is incorrect because it specifies that the new point will have coordinates (dx, dy, dz), which is not correct.
Option (d) is incorrect because it specifies that we need to subtract the translation amounts from the original coordinates, which would actually give the opposite direction of the desired translation.
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G(t)=(t+1) 2 −20. 25g What are the zeros of the function?
Answers
The zeros of the function G(t) are given by t = -1 + √(20.25g) and t = -1 - √(20.25g).
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
To find the zeros of the function G(t), we need to find the values of t that make G(t) equal to zero. So, we start by setting G(t) to zero and solving for t:
G(t) = 0
(t+1)2 - 20.25g = 0 [substituting G(t) in place of 0]
(t+1)2 = 20.25g [adding 20.25g to both sides]
t+1 = ±√(20.25g) [taking the square root of both sides]
t = -1 ± √(20.25g) [subtracting 1 from both sides]
So, the zeros of the function G(t) are given by t = -1 + √(20.25g) and t = -1 - √(20.25g).
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Which polynomial function could be represented by the graph below?
Answers
Answer:
1
Step-by-step explanation:
Uncle Saul's car goes 42 3/10 miles on a gallon of gas. There are 2 1/2 gallons of gas remaining in his gas tank.
3. How many miles can he drive before running out of gas?
4. Saul drives a total of 19 9/10 miles each day during his 5-day workweek. Will he need to buy more gas for the upcoming week? explain your answer.
please help asap tysm <33
Answers
Answer:
Step-by-step explanation:
quit
If two triangles are congruent, which of the following statements must be
true? Check all that apply.
A. The corresponding sides of the triangles are congruent.
B. The triangles have the same shape.
DC. The triangles have the same size.
D. The corresponding angles of the triangles are congruent.
Answers
Answer:
the answer is a and ik because I just had the test
The triangle shown below has an area of 32 units^2
Find the missing side
X= ______ units
Answers
Answer:
\(x\) = 8
Step-by-step explanation:
Area of triangle = 1/2 x base x height (where the height is perpendicular - at a right angle - to the base)
For this triangle, base = 8, height = \(x\)
Therefore, 32 = 1/2 x 8 x \(x\)
32 = 4\(x\)
\(x\) = 8
Find three rational numbers between - 2 and - 3
And please write in step by step explination.
Answers
Step-by-step explanation:
follow these steps with tbe no. of -2 and - 3 you will come with answer
Answer:
- 21/10, -5/2 and -11/4.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not zero).
So three naumbers between - 2 and -3 are
-2.1, -2.5 and -2.75 which can be written as:
- 21/10, -5/2 and -11/4.
if the equation of L1 is 4x-2y=6 what is the x intersept?
Write the equation of L in slope intersept form
Write the slope of L.
Answers
Answer:
The x intercept: (1.5, 0)
The slope intercept form: y = 2x - 3
The slope: m = 2
Step-by-step explanation:
x intercept means y=0
4x - 2y = 6
4x - 2·0 = 6
4x = 6
x = 1.5
The slope intercept form is: y = mx + b
4x - 2y = 6 {subtract 4x from both sides}
- 2y = - 4x + 6 {dividing both sides by (-2)}
y = 2x - 3 ← slope intercept form
Slope is the number by x, in slope intercept form of line's equation
Which expression is equivalent to -66.1 - (-55.6)?
Answers
Answer:
subtracting a negititive is the same as adding so -66.1+55.6
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George had 660 points in a reward program he used 35% of the points to redeem a voucher how many points were left in his reward program ?
In percentage and the explanation
Answers
Answer: the point that were left are 429
Step-by-step explanation:
i got this by multiplying 660 and 35% or .35 and got 429 and the amount left is 65% and to get that you would subtract 100% and 35% which gets you 65%.
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"If three angles and two sides of two triangles are congruent, are the triangles congruent? Why or why not?"
Answers
Answer:
yes
Step-by-step explanation:
because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.
convert decimal number 0.5625 (or 9/16) to a single-precision floating point number. the answer should be given in hex at the end. (failed to provide steps will result in losing most of the points of the question.)
Answers
The single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.
How to solve for the single-precision floating pointIdentify the sign bit. In this case, the number is positive, so the sign bit is 0.
Convert the decimal number to binary. The decimal number 0.5625 (or 9/16) can be converted to binary as follows: 0.1001.
Convert the 32-bit binary number to hexadecimal. To do this, group the binary number into blocks of 4, from right to left, and convert each block into its hexadecimal equivalent:
0000 -> 0
0000 -> 0
0000 -> 0
0000 -> 0
0000 -> 0
0001 -> 1
0000 -> 0
0111 -> 7
1110 -> E
0 -> 0
So, the single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.
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