Answer:
616 cm²
Step-by-step explanation:
small cube (4 sides) = 8 x 3 x 4 = 96
large cube (4 sides) = 7 x 10 x 4 = 280
top and bottom of large cube = 12 x 10 x 2 = 240
(we would deduct the 3 x 3 area from the top of the large cube and add a 3 x 3 area for the top of the small cube. So that cancels each other out.)
total surface area = 96 + 280 + 240 = 616 cm²
H
Which side has a length of 10 units?
G
8
O HG
O GJ
4
O HI
OJ
-8
-4
4
8
1
-4
-8
Done
Intro
Answer:
HI sorry for the late answer:>
Step-by-step explanation:
Answer:
it is indeed HI
Step-by-step explanation:
A machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long. What is the total length needed in inches?
The total length needed in inches will be 490.5 inches.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long The total length needed in inches will be:
= (3 ft 4 7/8 inch × 12)
Note that 1 feet = 12 inches
= (12 × 3) + (4 7/8) × 12
= (36 + 4.875) × 12
= 490.5 inches
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357,468 =
thousands 468 ones.
Not what I’m looking for maths
Answer:
Wrong
Step-by-step explanation:
You must be more specfic about how many 1000's
A car’s gas tank will hold 24 gallons when full. The car’s tank is presently 1/3 full. How much more gas will it take to fill the tank?
The additional gas it will take to fill the tank is 16 gallons
How much more gas will it take to fill the tank?From the question, we have the following parameters that can be used in our computation:
Capacity = 24 gallons
Current volume = 1/3 full
This means that
Remaning volume = 1 - 1/3
Evaluate
Remaning volume = 2/3
The additional gas it will take to fill the tank is
Additional = 2/3 * 24
Evaluate
Additional = 16
Hence, the additional gas it will take to fill the tank is 16 gallons
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Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She
increases her rate by 2 yards per minute. Plot two ordered pairs showing the distances she will fly at 1
minutes and 2 minutes, respectively, at her new rate.
Sometimes she may move backwards.
Answer:
See attachment for plot
Step-by-step explanation:
Given
\(y =2x\)
\(R =+2\) --- increment in the rate
First, we need to model the new rate
A linear equation is:
\(y = mx + b\)
Where
\(m = rate\)
Compare \(y =2x\) and \(y = mx + b\). we have:
\(m =2\)
The above represents the previous rate.
The new rate:
\(R =+2\)
Rewrite as:
\(R = m+2\)
\(R = 2+2\)
\(R = 4\)
So, the model is:
\(y = Rx\)
\(y = 4x\)
The plot at 1 and 2 minutes
When \(x = 1\)
\(y = 4x = 4 * 1 = 4\)
When \(x = 2\)
\(y = 4x = 4 * 2 = 8\)
So, we have:
\((x_1,y_1) =(1,4)\)
\((x_2,y_2) =(2,8)\)
Whether she moves backwards or forward, the distance covered remains the same
See attachment for plot
Use the given information to prove that ∠QPR ≅ ∠SPR.
Given: QR ≅ SR
PQ ≅ PS
Prove: ∠QPR ≅ ∠SPR
By SSS rule of congruence
∠QPR ≅ ∠SPR
"Information available from the question"
In the question:
Use the given information to prove that ∠QPR ≅ ∠SPR.
Given: QR ≅ SR
PQ ≅ PS
Prove: ∠QPR ≅ ∠SPR
Now, According to the question:
In triangle PQR and triangle PRS
We can see that
QR ≅ SR (given)
PQ ≅ PS (given)
PR = PR (Common line)
By SSS rule of congruence
When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.
Hence, ∠QPR ≅ ∠SPR
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please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
Find the slopeeeeeeeewe
Answer:
15
Step-by-step explanation:
A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
A coordinate plane.
Answer:
6
Step-by-step explanation:
I took the test
Answer:
6
Step-by-step explanation:
just took the exam
Desde la parte superior de un faro de 70 m. de altura, el ángulo de depresión hasta un barco sobre le oceano es de 23°. ¿A qué distancia está el barco sobre la base del faro?
Con ilustración
Answer:
The distance between the lighthouse and the boat is: 164.91 meters
Step-by-step explanation:
Please look at the attached image to follow the triangular diagram generated with the info provided.
Notice that we can create a right angle triangle with the information presented in the problem. The height of the lighthouse (70 m) is the side opposite to a 23 degree angle. And what we need to find is the other side "D" perpendicular to the lighthouse, which stands for the horizontal distance between the lighthouse and the boat.
Since the sides involved are the opposite and the adjacent sides to the 23 degree angle, we use the tangent function to solve it:
\(tan(23^o)=\frac{opp}{adj} \\tan(23^o)=\frac{70}{D}\\D=\frac{70}{tan(23^o)} \\D= 164.91\,\,m\)
What is 1 1/3 - 6/7 =
Answer:
2 17/21 :)))
Step-by-step explanation:
Answer:
1 1/3 - 6/7 = 0.47619047619 or just 0.47619
or as a fraction it would just eqaul 10/21
Find the value of x in the parallelogram
The value of x in the parallelogram is 112°.
In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.
To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.
Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.
Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.
Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.
This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.
For the given question, we know x° + 68° = 180°.
Then x° = 180° - 68°
x° = 112°
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Given the formula A = 5h (B + b); solve for B.
2
Answer:
A=5h(B+b)
A/5h=B+b
A/5h - b= B
what was the key to getting support for converting from petroleum to synthetic lubricants?
Answer:
Step-by-step explanation:
2. In AKLM, m = 5.9 cm, k = 7.1 cm and of 1, to the nearest 10th of a centimeter.
The length of side KL is approximately 4.8 cm.
To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all sides of the triangle. In other words:
a/sin(A) = b/sin(B) = c/sin(C)
Where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the angles opposite those sides.
Using the Law of Sines, we can set up the following proportion:
l/sin(L) = m/sin(M)
Where l is the length of side KL, L is the measure of angle KLM (which is 72 degrees), m is the length of side LM, and M is the measure of angle KML (which we can find by subtracting L from 180 degrees).
M = 180 - L
= 180 - 72
= 108 degrees
Now we can substitute the given values into the proportion and solve for l:
l/sin(72) = 5.9/sin(108)
l = sin(72) * (5.9/sin(108))
≈ 4.8 cm (rounded to the nearest 10th of a centimeter)
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Jupiter takes 4332 earth days to orbit the sun mercury orbits the sun in 88 earth days. How many complete orbits will mercury make until Jupiter completes one
Answer:
At this distance, Jupiter takes 11.8618 Earth years to complete a single orbit of the Sun. In other words, a single Jovian year lasts the equivalent of 4,332.59 Earth days.
Step-by-step explanation:
that the best i can do !!!!
Secant RM intersects secant RN at point R. Find the length of RP. Round the answer to the hundredths place. A. 4.72 B. 8 C. 10 D. 12
Answer: C:10 Hope it helped! Bye bye :>
Step-by-step explanation:
.
What is the coefficient of 2/x^2
Answer:
1/2
Step-by-step explanation:
The coefficient of a variable is a constant value that occurs with a term. In the given question, the term is
x
2
.
We can easily make out that
x
is the variable here. The constant value occurring with the variable is
1
2
and hence, this is the coefficient of the given term
→
x
2
term
→
x
2
variable
→
x
the coefficient of the variable
→
1
2
Verify that ϕ(x)=2(1−cex), where cis an arbitrary constant, is a one-parameter family of solutions to dydx=y(y−2)2.Graph the solution curves corresponding to c=0,±1,±2using the same coordinate axes.
Answer:
Following are the solution:
Step-by-step explanation:
Given equation:
\(\frac{dx}{dy}= \frac{y(y-2)}{2}........(a)\)
\(\Phi (x) = \frac{2}{1-ce^x}\)
In the question \(\Phi (x)\), is a solution of the equation (a) only if when \(\Phi (x)\)satisfies equation (a):
let us find \(\Phi' (x)\):-
\(\Phi(x) =\frac{d}{dx} \Phi (x)=\frac{d}{dx}(\frac{2}{1-ce^x})\)
\(= 2 \frac{d}{dx}({1-ce^x}^-1)\\\\= 2 (-1) ({1-ce^x})^{-2} \frac{d}{dx}({1-ce^x})\\\\= -2 ({1-ce^x})^{-2} (-ce^x})\\\\= 2(-ce^x) ({1-ce^x})^{-2} \\\\\)
Now:
\(\frac{dy}{dx}=\frac{y(y-2)}{2}\\\\\frac{d}{dx}\Phi (x) =\frac{\Phi (x) (\Phi (x)-2)}{2}\\\)
by subtracting the value of \(\Phi (x)\)and \(\frac{d}{dx}\)\(\Phi (x)\),we get:
\(\to\)\(2ce^x(1-ce^x)^-2= \frac{(\frac{2}{1-ce^x})(\frac{2}{1-ce^x})^{-2}}{2}\)
\(=2ce^x (1-ce^x)^{-2}=\frac{1}{2}[\frac{2}{1-ce^x}(\frac{2-2(1-ce^x)}{1-ce^x)}]\\\\= \frac{1}{1-ce^x} \times \frac{2ce^x}{1-ce^x}\\\\=\frac{2ce^x}{(1-ce^x)^2}\\\\=2ce^x (1-ce^x)^-2\)
\(\bold{2ce^x(1-ce^x)^-2=2ce^x(1-ce^x)^-2}\)
\(\Phi (x)\) the solution of the given equation. \(\Phi (x)\) has one Parameter Family of
\(\frac{dy}{dx}=\frac{y(y-2)}{2}\)
\(\Phi (x) =\frac{2}{1-ce^x}\\\\_{when} \ \ \ c= 0 \to \Phi (x) =\frac{2}{1-0\times e^x}=2\\\\_{when} \ \ \ c= 1 \to \Phi (x) =\frac{2}{1-1\times e^x}=\frac{2}{1-e^x}\\\\_{when} \ \ \ c= -1 \to \Phi (x) =\frac{2}{1-(-1)\times e^x}=\frac{2}{1+e^x}\\\\_{when} \ \ \ c= 2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1-2e^x}\\\\_{when} \ \ \ c= -2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1+2e^x}\\\\\)
Which of the following points lie on a line that passes through the origin with a slope of −25? Select all that apply. Multiple select question. cross out A) (0, 0) cross out B) (1, −25) cross out C) (−2, 5) cross out D) (−1, 25) cross out E) (4, 10) cross out F) (−5, 2)
The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).
What is the general equation of a straight line?The general equation of a straight line is : y = mx + c.
[m] is called slope and it tells the unit rate of change in [y] with respect to [x].
[c] is called the [y] - intercept.
We have some points that lie on a line that passes through the origin with a slope of −25.
The equation of a straight line that passes through the origin and has slope of -25 will be -
y = - 25x
The points that will lie on the line will be -
(0, 0) , (1, - 25) , (- 1, 25)
Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).
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Answer this question
The domain and range for the function shown in the graph above include the following:
D. D: [-∞, ∞]
R: [-10, ∞]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-∞, ∞] or all real numbers.
Range = [-10, ∞] or y ≥ -10
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Please answer soon!!!
A baby has its first doctor's visit when it is 5 months old and it weighs 19 pounds. The doctor tells the mother to expect the baby to gain 2 pounds each month. Find an equation in the form y = m x + b that models the baby's weight, where x is the age of the baby in months and y is its weight in pounds.
A formula in which the baby's weight is represented by the equation y = m x + b, where x is the baby's age in months and y is its weight in pounds is: y = 2x + 19.
Define about the slope-intercept form?A method of formulating a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form. The point where the line crosses its y-axis is known as the y-intercept, and the slope refers to how steep the line is.
For the given question:
baby's weight is give by equation: y = m x + b.
In which, x = age of the baby in months.
y = its weight in pounds.
When, x = 5, y = 19
2 pounds each month; m = 2
Find y-intercept .
19 = 2*5 + c
c = 19 - 10
c = 9
formula for baby's weight: y = 2x + 9.
Thus, a formula in which the baby's weight is represented by the equation y = m x + b, where x is the baby's age in months and y is its weight in pounds is: y = 2x + 19.
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When you add a positive number and a negative, how
Answer:
The answer would be B. When you add a negative and a positive it equals a negative, Like when adding a positive and a negative. But, adding two that are the same, like a positive and a positive equals a positive.
Step-by-step explanation:
Which expansion is equivalent to the series shown? Check all that apply. Expanding Summations with a Constant 16 + 19 + 24 + 31 + 40 15(1 + 4 + 9 + 16 + 25) 15 + 1 + 4 + 9 + 16 + 25 15(5) + 1 + 4 + 9 + 16 + 25
Answer:
A and D
Step-by-step explanation:
Answer:
A and D is correct
Step-by-step explanation:
just did test on edg
HELP ASAPPPPPP WILL MARK BRAINLIEST!!!!!
Answer:
ive did the math and its r= 4
Step-by-step explanation:
Help please!!! Find x and Y
Answer:
x = 40
y = 15
Step-by-step explanation:
Given is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60°.
Therefore,
(x + 20)° = 60°
x + 20 = 60
x = 60 - 20
x = 40
4y = 60
y = 60/4
y = 15
What is x when 44x=78
Answer:
≈ 1.77
Step-by-step explanation:
So we are looking for x in 44(x) = 78.
All we have to do is isolate the variable, get x by itself.
Divide 44 by both sides :
\(\frac{44x}{44} = \frac{78}{44}\)
\(x = 1.772727272723\)
Which can be rounded to ≈ 1.77
A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
Laura is back, and get that her puppy gains 10% in weight since the first visit write expression that can be evaluated to show the puppy current weight . Use a variable to represent the weight of the puppy at first visit write the expression in simplified form it's a puppy gains another 10% and weight from the current visit to a futuristic how much would a puppy weight by just wishing that could be evaluated to show the puppies future weight right expression in simplified form.
Denote the variable of weight of the puppy by W.