7. Given a right triangle as shown below, use a calculator to estimate the length of the
missing side to the nearest tenth of a centimeter
Answers
Answer:
D. 11.6 cm
Step-by-step explanation:
The missing length of the right angled triangle can be calculated using Pythagorean Theorem as shown below:
\( c^2 - b^2 = a^2 \)
Where,
a = x cm
b = 11 cm
c = 16 cm
Thus:
\( 16^2 - 11^2 = x^2 \)
\( 256 - 121 = x^2 \)
\( 135 = x^2 \)
\( \sqrt{135} = \sqrt{x^2} \)
\( \sqrt{135} = x \)
\( 11.61895 = x \)
\( x = 11.6 cm \) (nearest tenth)
Answer:
Step-by-step explanation:
11.16
Related Questions
Which of these is a geometric sequence?
2,3,5,9,17
Answers
Answer:9
Step-by-step explanation:
Find the number of distinguishable arrangements of the letters of the word SEPTILLION
Answers
Answer:
10!
Step-by-step explanation:
Septillion-10 letters
1-s-10 places to be in
2-e-9
3-p-8
4-t-7
5-i-6
6-l-5
7-l-4
8-i-3
9-o-2
10-n-1
So, then
10×9×8×7×6×5×4×3×2×1=10!
or 3628800
The arrangement of the number will be equal to 3628800.
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a way to choose items or numbers from a collection or group of items without worrying about the items' chronological order.
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
The given word is SEPTILLION. The word has 10 characters. The different ways of the arrangement will be calculated as,
Arrangement = 10!
Arrangement = 10×9×8×7×6×5×4×3×2×1
Arrangement = 3628800
Therefore, the arrangement of the number will be equal to 3628800.
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An equilateral triangle was rotated to create this figure. What is true about the axis of rotation?
Answers
The true statement about the axis of rotation is the option;
It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.
What is an axis of rotation?The axis of rotation is a straight line around which all points on a rotating body rotates.
The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle
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A circle has a circumference of 50.24 units.
What is the radius of the circle?
Use 3.14 for π and enter your answer as a decimal.
units
Answers
Circumference = pi * 2 * radius
50.24 = 3.14 * 2 * radius
50.24 = 6.28 * radius
8 = radius
Answer: 8 units
Step-by-step explanation:
Put these numbers in order from least to greatest,
4, 18/25,-6/24
Answers
-18/25 = -0.32
-6/24 = -0.25
You can see her that the -0.32 is smaller than the -0.25 since it’s NEGATIVE
So ...
-18/25, -6/24, 4
Help me with thisPlease explain in a non-complicated way with as little steps as possible. Thank you.
Answers
Simplify the expression inside the [ ] symbols using the law of signs:
\(\lbrack-2-(+3)\rbrack=\lbrack-2-3\rbrack=\lbrack-5\rbrack\)Therefore:
\(25-\lbrack-2-(+3)\rbrack^2=25-\lbrack-5\rbrack^2\)Notice that (-5)^2=+25. Then:
\(25-\lbrack-5\rbrack^2=25-(+25)\)Then, there are two expression which are equivalent to the given expression:
Option a)
\(25-(+25)\)Option d)
\(25-\lbrack-5\rbrack^2\)A local band was interested in the average song time for rock bands in the 1990s. They sampled eight different rock bands and found that the average time was 3.19 minutes with a standard deviation of 0.77 minutes.
Calculate the 95% confidence interval (in minutes) for the population mean.
Answers
The 95% confidence interval (in minutes) for the population mean is of:
(2.55, 3.83).
What is a t-distribution confidence interval?The bounds of the confidence interval are given according to the following rule:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
In which the parameters are described as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The distribution is used when the standard deviation of the population is not known, only for the sample.
In the context of this problem, the values of the parameters are given as follows:
\(\overline{x} = 3.19, s = 0.77, n = 8\)
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 8 - 1 = 63 df, is t = 2.3646.
Then the lower bound of the confidence interval is calculated as follows:
\(\overline{x} - t\frac{s}{\sqrt{n}} = 3.19 - 2.3646\frac{0.77}{\sqrt{8}} = 2.55\)
The upper bound is calculated as follows:
\(\overline{x} + t\frac{s}{\sqrt{n}} = 3.19 + 2.3646\frac{0.77}{\sqrt{8}} = 3.83\)
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Simplify the expression ((1/2)^3)^3
Helppp
Answers
Let me just mathematically give somebody 75 points
Answers
Answer:
dang
Step-by-step explanation:
nice
The average low temperatures in international falls minnesota are shown in the graph f(x) represents the function that contains these points find each of the following
Answers
The Relative Maximum will be (7, 50) and minimum is (12, 0).
We have the graph showing average low temperatures in international falls minnesota.
From the graph the maximum y coordinate is 50.
So, the Relative Maximum will be (7, 50).
and, the minimum y coordinate is 0.
So, the Relative minimum is (12, 0)
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the shortest side of a right triangle measures 7m. The lengths of the other two sides are Consecutive integers. What is the length of the other two sides?
Answers
The lengths of the other two sides of the right triangle are 24m and 25m, respectively.
Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Using this theorem, we have the equation:
\(7^2 + x^2 = (x + 1)^2\)
Expanding and simplifying this equation, we get:
\(49 + x^2 = x^2 + 2x + 1\)
Now, we can cancel out \(x^2\) from both sides of the equation:
49 = 2x + 1
Next, we can isolate 2x:
2x = 49 - 1
2x = 48
Dividing both sides by 2, we find:
x = 24
Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.
Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
What is the missing length?
10 km
2
area = 33 km
Answers
Solve the equation -3h + 6 = -15 for h.
A. -10
B. -8
C. -7
D. 7
Answers
Answer: D. 7
Step-by-step explanation:
Find the quantity of sodium chloride required in compounding the following prescription.
The sodium chloride equivalent of cocaine HCI is 0.16.
1. Cocaine Hydrochloride 0.2 g
2. Sodium Chloride q.s.
3. Purified Water ad 30.0 mL
Make isotonic solution
a. 425 mg
b. 374 mg
c. 238 mg
d. 762 mg
Answers
we need to add the amount of sodium chloride to the total volume of the solution, which is 30 mL, to get the total amount of sodium chloride required to make an isotonic solution. Therefore, the answer is 762 mg.
To calculate the quantity of sodium chloride required to make an isotonic solution for the given prescription, we need to first calculate the equivalent amount of sodium chloride for the cocaine hydrochloride, which is 0.16. Then, we multiply the cocaine hydrochloride of 0.2 g by the sodium chloride equivalent of 0.16 to get the amount of sodium chloride required, which is 0.032 g. To convert this to milligrams, we multiply by 1000, which gives us 32 mg. Finally, we need to add the amount of sodium chloride to the total volume of the solution, which is 30 mL, to get the total amount of sodium chloride required to make an isotonic solution. Therefore, the answer is 762 mg.
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How to factor 4z⁴ + 68z²+ 225
Answers
Answer:
72z^6+225
Step-by-step explanation:
Hope this helps :D
Answer:
no its (2z^2+25)(2z^2+9)
HURRY HELPPPPPPPPP!!!
Answers
120 lb to 180 lb The percentage change is
Answers
Given:
Original value = 120 lb
New value = 180 lb
Let's find the percentage change.
To find the percentage change apply the formula below:
\(\text{Percentage change = }\frac{New\text{ value-Original value}}{\text{Original value}}\ast\frac{100}{1}\)Substitute values into the formula and evaluate.
We have:
\(\begin{gathered} \text{Percentage change = }\frac{180-120}{120}\ast\frac{100}{1} \\ \\ \text{Percentage change = }\frac{60}{120}\ast\frac{100}{1} \\ \\ \text{Percentage change = }0.5\ast100 \\ \\ \text{Percentage change = 50 \%} \end{gathered}\)Therefore, the percentage change is 50%
ANSWER:
50%
Solve for y
A)4
B)5
C)20
D)100
Ayo help meee I need helpppppp please I’m so nice and funnyyyyy
Answers
Answer: nice and funnyyyyy y=4
Step-by-step explanation:
Can someone help me out with this please and thank you
Answers
Answer:
C
Step-by-step explanation:
"Patricia drank one-fourth of the lemonade in her glass. Write an expression in terms of p that represents the number of ounces Patricia has left in her glass. Include two terms in your expression."
Answers
Answer:
The amount of lemonade Patricia drank is 1/4 p ounces.
Step-by-step explanation:
Answer:
The amount of lemonade Patricia drank is 1/4 p ounces.
I just did this in edmentum
Step-by-step explanation:
Troy is buying a car that costs $15,000. He
plans to get a 5-year loan to pay for it. He
can get a loan for $15,000 or he can pay
$3,000 from his savings and get a loan
for the rest. The savings account pays 2%
simple interest per year. The simple interest
rate for the loan is 0.5% per year.
a. How much interest over a 5-year
Answers
Answer:
300/75
Step-by-step explanation:
Cost of the Car = $15,000
a) Rate of interest received on savings(r) = 2%
Amount in savings account(p) =$3000
Time period(t) = 5 years
simple intrest.
Interest received on savings account = $300
b) Rate of interest on loan = 0.5%
IF P= 15000
intrest.
Difference between the interest = $75
c) Taking loan of the whole amount that is of $15,000 is more reasonable because though the interest is more but Troy will receive interest($300) from his savings account as well. But if he withdraws $3000 from savings and takes the loan for the rest of the amount, he would have no earnings.
*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
Answers
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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Question 14 (1 point)
Chris sells computer equipment for his company. He receives a base pay of $300
plus commission on his sales. He receives 10% for the first $5000 in sales and 15%
anything over $5000.
Last week, he sold $17000 in computer equipment. Find his gross pay.
Round to the nearest whole dollar.
For your answer, do NOT include symbols, commas, words, etc.
HELP PLS
Answers
Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.
How is the gross pay determined?The gross pay is the addition of the base pay and the sales commission.
The sales commission is graduated and computed as follows:
Chris' base pay = $300
Sales Commissions:
First $5,000 = 10%
Above $5,000 = 15%
Last week's sales = $17,000
10% Commission = $500 ($5,000 x 10%)
15% Commission = $1,800 ($17,000 - $5,000 x 15%)
Total Commission = $2,300
Gross pay = Base Pay + Commission
= $2,600 ($300 + $2,300)
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Graph the equation −3x+5y=7 by plotting points using the line tool.
Answers
A graph of the linear equation -3x + 5y = 7 in slope-intercept form is shown in the image attached below.
What is a graph?In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate respectively.
Next, we would rearrange and simplify the given given linear equation in slope-intercept form in order to enable us plot it on a graph:
-3x + 5y = 7
5y = 3x + 7
y = 3x/5 + 7/5
Lastly, we would use an online graphing calculator to plot the given function as shown in the graph attached below.
In conclusion, the slope of this linear equation is equal to 3/5 and it does not represent a proportional relationship.
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What is this?? 4x - 3 = 12 + 2x
Answers
Answer:
x = 15/2
Step-by-step explanation:
A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet of. ... by 9 inches by 10 inches using one sheet of rectangular-shaped wrapping paper that measured 2 feet by 3 feet. ... How many square inches of wrapping paper were left over?
Answers
Answer:
380 square inches
Step-by-step explanation:
Step 1
We find the Surface Area of the Rectangular Prism
The Rectangular Prism has the dimensions of Length × Width × Height = 8 inches by 9 inches by 10 inches
Surface Area of a Rectangular Prism = 2(WL+ HL + HW)
Where W = Width = 9 inches
L = Length = 8 inches
H = Height = 10 inches
Surface Area of the Rectangular Prism = 2(9 × 8 + 10 × 8 + 9 × 10)
= 2(72 + 80 + 90)
= 2(242)
= 484 square inches.
Step 2
Find the area of the Rectangular shaped wrapping paper
The wrapping paper has dimensions :
2 feet by 3 feet
We have to convert to inches first
1 foot = 12 inches
2 feet = 2 × 12 inches = 24 inches
3 feet = 3 × 12 inches = 36 inches
Area of the Rectangular shaped wrapping paper = Length × Width
= 24 inches × 36 inches
= 864 square inches
Step 3
We calculate the amount of square inches of wrapping paper left.
The Amount left over = Area of Rectangular wrapping paper - Area of Rectangular prism
= 864 square inches - 484 square inches
= 380 square inches.
Therefore, the square inches of wrapping paper left over is 380 square inches.
Caden scored 95 on his math quiz but Ms. Crysel subtracted 20% from the score because Kayden did not use pencil. What was Kadens score after Ms.Crysel deducted the 20%
Answers
Data:
Score: 95
Sustracted: 20%
You take the scre 95 as the 100%, then you use a rule of three to know how much Ms. Crysel substracted:
As the 20% is 19, the final score is: 76\(95-19=76\)
Ed needed to extend the string on his kite. The current string was nine and three fourths feet. He cut a piece of string that measured 2.5 feet and added it to the existing string. What is the new length of the string?
twelve and one fourth feet
eleven and three fourths feet
seven and one half feet
seven and one fourth feet
Answers
Answer:
Twelve and one fourth feet
Step-by-step explanation:
9 and 3/4 feet =9.75
2 and 2/4 feet =2.50
9.75 + 2.50
= 12.25/12 and 1/4 feet
9
Factor the expression.
12x + 30xy