The error that Angelica made is an error substituting the values into the Pythagorean theorem. The equation should be c² + 6² = 10²
How to use Pythagoras Theorem?
From the brainly link attached below, we can see the steps Angelica used in calculating the distance between the two points shown on the graph below.
The steps she took are;
Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.
Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.
Step 3: Substitute the values into the Pythagorean theorem: 10² = 6² + c²
Step 4: Evaluate
From the graph and looking at the steps she took, we can say that the error that Angelica made is an error substituting the values into the Pythagorean theorem. The equation should be c² + 6² = 10²
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F the height remains fixed and the side of the base is decreasing by 0.002 meter/yr, what rate is the volume decreasing when the height is 180 meters and the width is 200 meters?
The original volume equation looks like this: V = 1/3 * h * (x^2)
After the side is reduced by 0.002, the new volume would look like V1 = 1/3 * h
* (x-0.002) ^ 2
Then we have:
V-V1 = 1/3*h*(x^2) - 1/3*h*(x – 0.002) ^2
= 1/3 * h *(x^2 - (x – 0.002) ^2)
= 1/3 * h * (0.004x - 0.00004)
The rate of decreasing is computed by:
(V-V1)/V * 100% = [1/3 * h *(0.004x - 0.00004)] / [1/3 * h * (x ^ 2)] *
100% this would be equal to (0.004x - 0.00004) / (x^2) * 100%
So replace x by 200, you’ll get:
(0.004(200) - 0.00004) / (200^2) * 100%
= 0.001999% is the rate of decreasing.
Maria put $500 into a savings account. She made no more deposits or withdrawals. The account earns 2% simple interest per year. How much money will be in the account after 5 years?5,000,50,550,1000
What is the distributative answer to 85 divided by 5 answer
85 divided by 5 equals 17.
To find the answer to 85 divided by 5 using the distributive property, we break 85 into simpler numbers that are easier to divide by 5. For example:
Step 1: Write 85 as a sum of numbers that can easily be divided by 5:
85 = 50 + 35
Step 2: Divide each part by 5:
50 ÷ 5 = 10
35 ÷ 5 = 7
Step 3: Add the results:
10 + 7 = 17
Therefore, 85 divided by 5 equals 17.
What is a 6% increase to $62,900
6% = 0.06
multiply:
62900*0.06 = 3,774 ( Would be the amount of increase)
add:
62900 + 3774 = 66,674 (would be the new total)
A spherical block of ice melts so that its surface area decreases at a constant rate: ds/dt = - 8 pi cm^2/s. calculate how fast the radius is decreasing when the radius is 3cm. (recall that s = 4 pi r^2.)
Which of the following statements describes the process for solving 4 x ≥ -24?
Divide both sides of the inequality by -24 and flip the symbol.
Divide both sides of the inequality by -24 but don't flip the symbol.
Divide both sides of the inequality by 4 and flip the symbol.
Divide both sides of the inequality by 4 but don't flip the symbol.
if f(x)= -6x+6 then f^-1(x)=
To find the inverse of f(x) = -6x + 6, swap the variables and solve for y, yielding the inverse function f^-1(x) = 1 - (x/6).
To find the inverse function, f-1(x), of the given function f(x) = -6x + 6, you need to follow a series of steps. First, swap the 'x' and 'y', so it becomes x = -6y + 6. Next, solve this equation for 'y' to find the inverse function. Add 6x to both sides to get x + 6y = 6, then subtract x from both sides to have 6y = 6 - x. Dividing both sides by 6 results in y = 1 - (x/6). Therefore, the inverse function is f-1(x) = 1 - (x/6).
George borrowed $1,895.50 for two years. The total amount he repaid was $2,189.38. How much interest did he pay for the loan?
a. $454.50
b. $293.88
c. $227.73
d. $455
Find the value of c such that the line y = 9/4 x + 9 is tangent to the curve y = c x .
The value of c such that the line y = 9/4 x + 9 is tangent to the curve y = c x is 9/4. This is because a line is tangent to a curve when it touches the curve at exactly one point, hence the slope of the given line (9/4) will be equal to the value of c, which is the slope of the curve.
Explanation:The problem asks us to find the value of c such that the line y = 9/4 x + 9 is tangent to the curve y = c x. A line is tangent to a curve when it touches the curve at exactly one point. In this context, the slope of the given line (9/4) will be equal to the value of c since in the line equation y = c x, c is the slope. So the value of c is 9/4.
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What is thirty-four thousand centimeters per second in scientific notation
The speed of thirty-four thousand centimeters per second in scientific notation is 3.4 x 10^2 meters per second, after converting centimeters to meters.
The speed of thirty-four thousand centimeters per second can be expressed in scientific notation by first converting it to the base unit of meters per second (since one meter is equal to one hundred centimeters) and then expressing it in the form of a significant figure followed by the power of 10.
First, convert centimeters to meters:
34000 centimeters = 34000 / 100 meters = 340 meters.Now, express this in scientific notation:
340 meters/second = 3.4 x 102 meters/second.This shows the speed in scientific notation with the unit meters per second, which is a combination of two SI units.
Round $8.0443 to the nearest cent
To round $8.0443 to the nearest cent, we leave the second decimal at 4, since the third decimal is also a 4, resulting in $8.04
To round $8.0443 to the nearest cent, you need to look at the third decimal place, which is a '4'. Since we are rounding to the nearest cent, we only keep two decimal places. If the third decimal place is 5 or more, we would round up the second decimal place. However, because it is 4, we do not round up. Therefore, $8.0443 rounded to the nearest cent is $8.04
Mikayla withdraws $20 on 4 different days during a week. Find the total change in her account balance after the withdrawals.
20 times 4 = 80
so the change in her account would be negative 80 dollars
The change in her account after 4 withdrawals of $20 the change in her account will be $(D - 80)
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given that Mikayla withdraws $20 on 4 different days during a week.
Assuming she had $D before she had made any withdrawals.
∴ The situation can be represented numerically as,
(D - 20 - 20 - 20 - 20) dollars.
= (D - 80) dollars.
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Translation of the graph. I can never get these right.
complete the calculation how to find partial products
1 2 4
× 2
----------
write 60,000+9,000+400+90+8 in standard form
write $80 for 16 tickets as a unite rate
solve this equation
h(t)= -16t+175t+500
Find the standard matrix of the linear transformation t(x, y, z) = (x − 2y + z, y − 2z, x + 3z).
help please #mathhelp
it is 2 kilometers from Yoko's house to the nearest mailbox. How far is it in meters?
could someone help me? Don’t understand what to do
Is the given answer a reasonable solution to the problem 7.92•10.21=88.8632
which fraction correctly completes the equation
A dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month. Floss is sold 79 to a box, how many items does the dentist order each month
complete question:
A dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month. Floss is sold 70 to a box and toothbrushes are sold 50 to a box . how many items does the dentist order each month.
Answer:
The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.
Step-by-step explanation:
The dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month.
The floss is sold 70 to a box, this means about 70 numbers of floss occupies each box of floss. To get the total number of floss items in the 15 boxes of floss, we have to multiply the number of boxes of floss by the number of floss present in each box. Mathematically,
70 × 15 = 1050 items of floss
The boxes of toothbrushes is 20 . For each box the number of toothbrushes is 50 . To get the total number of tooth brushes we multiply the number of boxes by the total number of toothbrushes in each box.
50 × 20 = 1000 items of toothbrushes.
The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.
AB = 2 and AC = 11. Find m∠C to the nearest degree.
Answer:
10°
Step-by-step explanation:
To find this, we look at the sides of the triangle that we are given and their position in relation to ∠C.
AB is opposite ∠C and AC is adjacent to ∠C.
The ratio of opposite/adjacent is the ratio of tangent. This gives us the equation
tan C = 2/11
To solve this for C, we take the inverse tangent of each side:
tan⁻¹(tan C) = tan⁻¹(2/11)
C = 10.305 ≈ 10°
The measure of the angle ∠c will be 10°.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
To find this, we look at the sides of the triangle that we are given and their position in relation to ∠C.
AB is opposite ∠C and AC is adjacent to ∠C.
The ratio of opposite/adjacent is the ratio of a tangent. This gives us the equation
tan C = 2/11
To solve this for C, we take the inverse tangent of each side:
tan⁻¹(tan C) = tan⁻¹(2/11)
C = 10.305 ≈ 10°
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I need to find all real solutions. In this problem, a>0, a is not equal to 1
solve this system of linear equations. separate the x- and y- values with a coma. -x=29-14y
-9x=-19+14y
We are given the two equations:
(1) -x=29-14y
(2) -9x=-19+14y
Multiply (1) by 9:
-9x = 261 – 126y
Subtract the two equations:
-9x = 261 – 126y
-
-9x=-19 + 14y
0 = 280 – 140y
140y = 280
y = 2
From (1):
-x = 29 – 14 (2)
x = -1
Answers:
x = -1
y = 2
Give the numerical value of n corresponding to 5d.
Final answer:
The numerical value of n for the 5d orbitals is 5, which indicates that the d subshell in question is located in the fifth principal energy level of an atom.
Explanation:
The numerical value of n corresponding to the 5d orbitals is 5. In the context of atomic and quantum physics, the principal quantum number, denoted as n, signifies the principal electronic shell of an atom. Since the question refers to 5d, it means we are discussing the d subshell in the fifth principal energy level (n=5).
For a d subshell, which is represented by the azimuthal quantum number (l) having a value of 2, the first principal shell where a d subshell appears is when n=3. Therefore, the 5d subshell is present in the fifth principal energy level. As for the ml values of the d orbitals, which represent the magnetic quantum number, they can be -2, -1, 0, +1, or +2 for any d subshell.
If g(x) = x3 - 5 and h(x) = 2x - 2, find g(h(3))
The required simplified value of the g(h(3)) is given as 59.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
g(x) = x³ - 5 and h(x) = 2x - 2
h(3) = 2(3) - 2
h(3) = 4
g(h(3)) = 4³ - 5
= 64 - 5
= 59
Thus, the required simplified value of the g(h(3)) is given as 59.
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"At a college, 4/5 of the students take an english class. Of these students, 5/6 take composition. Which fraction of the students at the college take compostion
Answer:2/3
Step-by-step explanation: