[tex]\sf\huge\underline{\star Solution:-}[/tex]
Given that:Hypotenuse of a right triangle = [tex]\sf\blue{16cm.}[/tex]One side (leg) = [tex]\sf\blue{9cm.}[/tex]To Find:Measure of another side(leg).Solution:-[tex]\rightarrow[/tex] As we know that,
[tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](Pythagoras Theorem)
So, using this formula we can find measure of another side(leg).
[tex]\rightarrow[/tex][tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](putting the value of both given side of triangle)
Here I am putting the value of hypotenuse in C because it is the longest side of triangle.[tex]\rightarrow[/tex] [tex]\sf{9^2 +B^2 \:=\: 16^2}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{81 +B^2 \:=\: 256}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 256-81}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 175}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B \:=\: \sqrt{175}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B\:=\: 13.22(approx)}[/tex]
Therefore, measure of another side (leg) of the triangle = [tex]\sf\purple{ 13.22(approx).}[/tex]
____________________________________
Hope it helps you:)
Find the transpose of the matrix.
[8 6 1]
[2 -5 8]
[3 1 4]
Answer:
[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]
Step-by-step explanation:
To find the transpose all we do is change the rows into the columns and change the columns into rows.
So simply:
[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]
Answer:
Flip the elements around, aka, transpose!
[8 2 3]
[6 -5 1]
[1 8 4]
For each diagram below, write and solve an equation for x .
Answer:
x = 100 , x = 3
Step-by-step explanation:
(a)
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + x + 125 + 125 + 90 = 540 , that is
2x + 340 = 540 ( subtract 340 from both sides )
2x = 200 ( divide both sides by 2 )
x = 100
(b)
the 2 given angles are alternate exterior angles and are congruent , then
6x + 18 = 2x + 30 ( subtract 2x from both sides )
4x + 18 = 30 ( subtract 18 from both sides )
4x = 12 ( divide both sides by 4 )
x = 3
if 0.002 is rewritten as 2 x 10x what is the value of x
Answer:
0.0001
Step-by-step explanation:
2 x 10 x 0.0001 equals 0.0002. If you want confirmation do on a calculator
Answer:
10,000
Step-by-step explanation:
you move the decimal point 3 places to the right to end up with 2 so add as many zeros as many times you moved the decimal point from the 0.002.
100 POINTS PLEASE HURRY
Answer:
5.80^3
People use water to cook, clean, and drink every day. An estimate of 22.8% of the water used each day is for cleaning. If a family uses 68.4 gallons of water a day for cleaning, how many gallons do they use every day?
Answer:
I got 15.6
Step-by-step explanation:
I subtracted 28.8 percent from 68.4 then subtracted that number from 68.4
find the HCF of 447 577 669
Answer:
3
Step-by-step explanation:
447÷3=149577 is a prime number so it can't be divided669÷3=223447=3×149577=0669=3×223Common factors=3H.C.F of 447,577 and 669=3Answer:
1
Step-by-step explanation:
447 = 3 ×149
577 = 577 (prime number)
669 = 3 × 223
HCF = 1
f(x)=3x^2+x f(x)=3x 2 +x \text{Find }f(-5) Find f(−5)
So the equation given is: [tex]3x^2+x[/tex]
What do we find: f(-5)
To find f(-5), we must plug '-5' into the equation in place of the 'x'
[tex]f(-5) = 3(-5)^2+(-5) = 3 * 25 -5=75-5=70[/tex]
Answer: f(-5) = 70
Hope that helps!
A circular table top has a radius of 75 cm. A force of 640 N is applied to the whole table top. Calculate the pressure in N/m2 to 4sf.
The pressure applied on the whole table top = 361.9 N/m² to 4 significant figures.
Calculation of applied pressure on a surfacePressure= force/area
Area of the circular table = πr²
where r = 75cm = 0.75m
Area of the circular table = 3.143 × 0.75 × 0.75
= 1.768m²
Force = 640 N
Pressure = 640/1.768
= 361.99
= 361.9 N/m² to 4 significant figures.
Learn more about pressure here:
https://brainly.com/question/25736513
What is the slope of the line that passes through (9,3) and (2,1)
Answer:
2/7
Step-by-step explanation:
[tex]slope = \frac{1 - 3}{2 - 9} \\ = \frac{ - 2}{ - 7} \\ = \frac{2}{7} [/tex]
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Answer:
Step-by-step explanation:
Pls give brainlest if right.
10/20-3/6 ?
brainliest and 50 points
find the area of the regular polygon.
A) 187.2
B) 887.5
C) 110.4
D) 63
Answer:
A) 187.2
Step-by-step explanation:
Area of a regular polygon = 1/2(apothem × perimeter)
The perimeter of the triangle can me calculated by multiplying the side length by 3 ( because the polygon shown has 3 sides )
Side length = 20.8 , so perimeter = 3 × 20.8 = 62.4
Now we can find the area
Remember area of a regular polygon = 1/2(apothem × perimeter)
Apothem = 6 and perimeter = 62.4
So area = 1/2(6×62.4)
==> multiply 6 and 62.4
area = 1/2(374.4)
==> multiply 374 and 1/2
area = 187.2
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies.
The confidence level is 99%, σ is not known, and the histogram of 56 player salaries (in thousands of dollars) of football players on a team is as shown.
Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.
When should the t-distribution and the z-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.
Using a t-distribution calculator, considering a confidence level of 99% and 56 - 1 = 55 df, the critical value is t = 2.6682.
More can be learned about the t-distribution at https://brainly.com/question/16162795
PLEASE HELP WILL MARK BRAINLIST
If the ratio of the rectangular prisms' volumes is 1:8, what is j?
Evaluate the expression when a=5 and b=28.b+(30)/(a)
Answer:
34
Step-by-step explanation:
Just substitute in the valuesThis would give 28 + 30/5 = 28 + 6 = 34Help me with these, just say sometimes, always, or never. Correct answers please and no links. Correct answers get brainly
Answer:
12. sometimes
13. always
14. always
Step-by-step explanation:
Exponential functions with a positive base are defined for all real numbers. Such functions will always have a positive value.
__
12)The larger the base, the faster the decay for x < 0. In that part of the domain, 2^x > 10^x. (sometimes)
__
13)See the initial comment. (always)
__
14)See the initial comment. (always)
Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well.
Answer:
Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.
Step-by-step explanation:
The area of either of these floors is found by multiplying length by width:
A = L*W.
Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2
Carter's is 14.4 ft by 9.6 ft: A = 138.24 ft^2
Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.
: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)
Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)
Answer:
A rational number: 5.4, which also can be written as 27/5
Irrational number:
sqroot 28
approx= 5.29
Step-by-step explanation:
5.4 is a rational number because it is a terminating decimal. That means it ends after the 4, there are no more numbers. Also it can be written as a ratio (looks like a fraction) 27/5.
Sqroot28 is irrational. Since 28 is not a perfect square, when you squareroot it you get a number with a neverending decimal
sqroot28 = 5.2915026221...
since the decimal does not repeat or end it cannot be written as a ratio, so it is not rational
sqroot28 ~= 5.29
2q^2+5+2q+–3+10+–5q
how do I do this?
Answer:
First you add up all the numbers and then the unknowns.
Step-by-step explanation:
2q^2+12-2q-5q
2q^2+12-3q
2q^2-3q+12
Backyard World buys plastic pools from a supplier with an invoice amount of $17,500. The terms of the sale are 5/10, n/30. If the retailer sends a partial payment of $8,300 on the discount date, what is the net amount still due?
Answer:
I think it $10800
Step-by-step explanation:
I have not read how to sole
17. Which quotient will be larger? Explain
how you can tell without dividing.
3,444 : 42
4,368 : 42
Answer:
4,368 / 42
Step-by-step explanation:
I can tell without answering the problems because if you have a larger amount to divide by, it would lead to people having a higher amount. Meanwhile having a smaller amount to divide by.
The width of a rectangular garden is 9 feet, and its length is 12 feet. Three of these expressions equal the perimeter of the garden, in feet. Which expression does NOT?
Answer:
breadth does it 9 feet
12 feet
Kenny has $500 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much interest will he earn in 1 year?
Answer:
$525
Step-by-step explanation:
new value = starting value(1 + rate)^years
new value = 500(1 + .05)^1
new value = 500(1.05)
new value = $525
Answer:
25
Step-by-step explanation: Im not sure how to do it thats just what IXL says
Write one hundred ten million in expanded notation using exponents.
Answer:
1.10 x 108.
Step-by-step explanation:
4
Required
Mr. Sanchez's class sold fruit pies for $1.73 each and Mr. Kelly's class sold bottles of fruit juice for $1.44 each.
Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations
that models this prolem. Show all your work!
The system of equations of the number of bottles in both classes has two distinct equations
Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles
How to solve the system of equations?
The given parameters are:
Mr. Sanchez = $1.73
Mr. Kelly = $1.44
Represent the number of bottles in both classes with x and y,
So, we have the following equations
1.73x + 1.44y = 130.83
x + y = 83
Next, we plot the graphs of the equations
From the graph (see attachment), we have:
(x,y) = (39,44)
Hence, Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles
Read more about system of equations at:
https://brainly.com/question/14323743
Help me fast please 50 POINTS giving 50 points and brainliest its only 5 questions
Answer:
2x^2+1=5-2x
2x^2+1-5+2x
2x^2-4+2x=0
x^2-2+x=0
x^2+x-2=0
(x+2)(x-1)
x1= -2
x2= 1
Answer:
[tex]2x^2+1=5-2x2x^2+1-5+2x2x^2-4+2x=0x^2-2+x=0x^2+x-2=0(x+2)(x-1)x1= -2x2= 1[/tex]
Step-by-step explanation:
I hope this helps and have a good day!
Annie traveled 2/7 parts of her trip in the first hour, and then 1/8 parts in the second hour. She plans to rest when she has completed half of her trip. Is it time for Annie to rest? If it is not, what part of the trip does Annie still need to travel before she can rest?
Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?
Answer:
$182.91
Step-by-step explanation:
136.50 times 0.14 (14%) is 19.11
136.50 times 0.2 (20%) is 27.30
13650+19.11+27.30=182.91
Line a is perpinduclar to Line B. If the slope of Line A is 3/7 what is the slope of Line B?
Answer:
slope = - 7/3
Step-by-step explanation:
Slope of a line = m
perpindicular slope = - 1/m
-1 / ( 3/7) = - 7/3
Last year. Samara practiced playing the violin for 26 hours the piano for 35 hours, the flute for 41 hours, and the drums for 18 hours How many days in total did she practice playing her musical instruments? Explain Your answer.
Answer:
5 days
Step-by-step explanation:
26+35+41+ 18 = 120
120/24 = 5
define the volume of 30 cm 24 cm 52 cm
Answer:
37,440
Step-by-step explanation:
To find volume the formula is : Length x Width x Height... So 30 x 24 x 52 = 37, 440
:D
