Answer:
The dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Area of a rectangle = Length × Width
= LW = 20 m²
Perimeter of a rectangle =
2L + 2W = 18 m
Hence:
LW = 20...... Equation 1
L = 20/W
2L + 2W = 18 ...... Equation 2
We substitute
20/W for L in Equation 2
2(20/W) + 2W = 18
40/W + 2W = 18
Multiply through by W
40 + 2W² = 18W
2W² - 18W + 40 = 0
2W² - 10W - 8W + 40 = 0
(2W - 8 )(W - 5) = 0
2W - 8 = 0
2W = 8 , W = 8/2 = 4m
W - 5 = 0
W = 5m
W = 4m or 5 m
Solving for L
When W = 5 m
L = 20/W
L = 20/5
L = 4m
When W = 4m
L = 20/W
L = 20/4
L = 5m
Therefore, the dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Perform the indicated operations:
4−1−4
05−2
0810
−7
−11
22
4−1−4
0ab
0cd
−7
88
110
a =
, b =
, c =
, d =
Answer:
A= -40
B= 16
C= 40
D= 50
Step-by-step explanation:
The values of the matrix is a = -40, b = 16, c = 40, d = 50.
What is a matrix?A matrix is an arrangement of numbers, expressions or symbols arranged in rows and columns as a rectangular array. These rows and columns define the size or dimension of a matrix.
For the given situation,
The matrix is
[tex]\left[\begin{array}{ccc}4&-1&-4\\0&5&-2\\0&8&10\end{array}\right] = \left[\begin{array}{c}-7&-11&22\end{array}\right][/tex]
The operation on matrix is
[tex]-8R2- > R2[/tex] and
[tex]5R3- > R3[/tex]
⇒ [tex]\left[\begin{array}{ccc}4&-1&-4\\0&-40&16\\0&40&50\end{array}\right] = \left[\begin{array}{c}-7&88&110\end{array}\right][/tex]
On comparing this equation with the given equation,
[tex]a=-40, b=16, c=40, d=50[/tex]
Hence we can conclude that the values of the matrix is a = -40, b = 16, c = 40, d = 50.
Learn more about matrices here
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In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 9, and SU = 40. What is the value of the sine of ∠S to the nearest hundredth?
Answer:
Step-by-step explanation:
sinS = 9/41 ≅ 0.22°
ZOOM IN IF YOU CANT SEE THE PIC I NEED HELP ASAP
Answer:
5/9
Step-by-step explanation:
Answer:
i think 5/9
Step-by-step explanation:
An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per hour?
Answer:
695 km and hour
Step-by-step explanation:
Someone help me (10 points each)
Answer:
132
Step-by-step explanation:
Answer:
132
Step-by-step explanation:
divide 72 pens between Sarah and Amina is the ratio 4:5.
Answer:
Sarah gets 32 pens and Amina gets 40 pens
Step-by-step explanation:
72 pens
4/9×72 = 4×8 =32
Sarah gets 32 pens
5/9×72=5×8=49
Amina gets 40 pens
hope it helped
two parallel roads, Elm Street and Oak Street, are crossed by a third, Walnut Street, as shown in diagram. The value of X is
Answer:
x=16
Step-by-step explanation:
2x + 33 = 5x - 15 (Alternate Interior Angles)
33 + 15 = 5x - 2x
48 = 3x
x= 48/3 = 16
Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by.____
zero
a positive rational number
a negative rational number
brainlyist for the correct answer
.
Answer:
a negative rational number
Step-by-step explanation:
I'm pretty positive this is the answer, but its worded strange in my opinion
Which of the following functions shows the absolute value parent function
F(x) = [xl, vertically compressed?
O A. G(x) = 14x1
B. G(x) = 12.5x1
C. G(x) = x1
D. G(x) = 10x1
The function which represent the absolute value is G ( x ) = a|x| , where the value of a < 1
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = | x |
This function is symmetric with respect to the y-axis and has a V-shape, with the vertex at (0,0).
To vertically compress the function, we can multiply the function by a constant value less than 1.
And , the function that shows the absolute value parent function f(x) vertically compressed is:
G ( x ) = a| x |, where 0 < a < 1
The value of "a" determines the degree of compression of the function. The smaller the value of "a", the greater the degree of compression.
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Write an algebraic expression for each situation for 22 divided by s
Answer:
s/22? i think thats one way
Step-by-step explanation:
a bakery sold 123 chocolate cupcakes in a day, which was 41% of the total number of cupcakes sold that day. how many total cupcakes did the bakery sell that day?
Answer:
300
Step-by-step explanation:
took the test adn this is right now PLEASE MARK BRAINLIEST
Answer:
they sold 300 cupcakes
Step-by-step explanation:
please mark brainliest
Texas is home to about 70% of the 47 species of bats in the United States. About how many species of bats live in Texas?
Answer:
33
Step-by-step explanation:
70% of 47 is 33 species
Answer:
32.9
Step-by-step explanation:
Directions: Calculate the volume of the box in the diagram.
Answer:
6cm^3
Step-by-step explanation:
V = l*w*h
........... ....
Answer:
6
Step-by-step explanation:
3 times 2 =6
6 times 1 =6cm3 (cubed)
PLEASE HELP WITHIN 1 hr
a. True/False
To complete the square on the left side of the equation x2 - 6x = 9,
you must subtract the number 9 from both sides.
Answer:
True
Step-by-step explanation:
[tex]x^{2} -6x=9[/tex]
subtract [tex]9[/tex] from both sides
[tex]x^{2} -6x-9[/tex]
plz mark me brainliest. ;)
Last year, Kaitlin opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 28%. (a) Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal. Year-end amount = 1 x Original amount
Answer:
Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.
Step-by-step explanation:
Given that last year Kaitlin opened an investment account with $ 8,600, and at the end of the year, the amount in the account had decreased by 28%, to determine the year-end amount in terms of the original amount both in whole numbers and in decimals, the following calculation must be performed:
100 - 28 = 72
8,600 x 0.72 = X
6.192 = X
Thus, Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.
The smiths bill at a restaurant is $85 how much money should Mr. Smith leave as a tip if he plans to tip 20%
Answer:
102.00
Step-by-step explanation:
If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.
Answer: Mr. Smith should tip $17
Step-by-step explanation:
20% = 0.2
$85 × 0.2 = $17
Destiny spent $12.00 of the $20.00 in her wallet.Write a decimal and percent that represents the fraction of the $20.00 that denstiny spent
Answer:
40% and 0.4
Step-by-step explanation:
The puppy weighed 2 pounds when it was born. He has gained weight, but still weighs less than 11 pounds. How much weight could he have gained?
The food bill came to 22$. If you wanted to leave a 20% tip, how much money would you leave for the tip? (Very urgent!)
Answer:
it would come out to $4.40
Answer:
$4.40
Step-by-step explanation:
3.
Is this relation a function?
A.
Yes
B.
No
Answer:
Yes
Step-by-step explanation:
There are not multiple of the same Y-values so it is a function.
Can someone please help me?:)
i dont know how to do this question can you please explain how to
Answer:
84
Step-by-step explanation:
the perimeter is basically all the way round a shape
P=2l+2d2﹣l2 for the diagnol
A shoe store owner uses a 15 percent markup on the merchandise. At what price will she sell shoes that were purchased for $35?
Answer:
$40.25
Step-by-step explanation:
35 increase 15% =
35 × (1 + 15%) = 35 × (1 + 0.15) = 40.25
value of -2 ( x + 5 )
Do you have to add both of the bases in a triangular prism to find the volume? Someone please help!
Answer:
Yes,you have to add both of the bases in a triangle prism to find the volume.
Step-by-step explanation:
took the test.
Answer:
No, you need it onceStep-by-step explanation:
Volume of the prism:
V = bhYou use the area of the base once, multiply it by the height to find the volume
The answer is no.
help me asap ill give brainliest
Answer:
-6, -2, 1, 8
Step-by-step explanation:
Answer:
-6, -2, 1, 8
Step-by-step explanation:
Negatives have less value than positives, so that's why the negatives go first in the answer.
hey i need that special someone, 7th grade, 13, somewhat a lil older could be fine,also imma a girl, but yk yeah hmu...
Answer:
mf you are asking this in high school.
Step-by-step explanation:
Another customer calls you wanting to know how much fence they should install around the circumference of their circular garden if they bought 204 feet² of topsoil. Assume the customer created a circle out of the soil and calculate the circumference in linear feet. Remember you’ll need to calculate the radius first, then use it to calculate the circumference.
(GIVING BRAINLIEST!!!)
0.5 g of salt is equal to how many milligrams?
Show all of your calculations.
Answer:
500 mg
Step-by-step explanation:
K H D B D C M (Kilo, Hecto, Deka, Base [meters, grams, etc.] Deci, Centi, Milli)
since you're using grams substitute G for B
K H D G D C M
you have 0.5 grams of salt, which will be G for grams. you want to convert it to milligrams, which is M. you will move the decimal over 3 spots in order to get from G to M, therefore you go from 0.5 grams to 500 milligrams. I hope this is helpful!
find the measure of the missing angle
Answer:
? ≈ 25.8°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan? = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{29}[/tex] , then
? = [tex]tan^{-1}[/tex] ( [tex]\frac{14}{29}[/tex] ) ≈ 25.8° ( to 1 dec. place )