Step-by-step explanation:
Length of the room is 5 ft and the width is 8 ft.
Perimeter is equal to the sum of all sides of the room.
The shape of room is rectangle.
The perimeter of rectangular room is given by :
[tex]P=2(L+B)\\\\P=2(5+8)\\\\P=26\ ft[/tex]
Area of a rectangular shaped room is given by :
[tex]A=L\times B\\\\A=5\times 8\\\\A=40\ ft^2[/tex]
So, the perimeter and area of the rug are 26 feet and 40 sq feet.
A support wire extends from the top of a 225 feet radio tower to the ground and makes an angle of 64° with the ground. How long does the wire need to be to reach from the top of the tower to the ground?
Answer:
250.34 feet
Step-by-step explanation:
Find attached to this answer and appropriate diagram.
From this question, we can see that this is a trigonometric function
The height of the radio tower = 225 feet = Opposite side
θ = Angle 64°
In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.
From the attached diagram, we can see that that is equivalent to finding the hypotenuse.
Hence, we are using the Trigonometric function of Sine.
sin θ = Opposite side/ Hypotenuse side
sin 64 = 225 feet/ Hypotenuse
Cross multiply
sin 64 × Hypotenuse = 225 feet
Divide both sides by sin 64
Hypotenuse = 225 feet / sin 64
Hypotenuse = 250.33543661 feet
Approximately = 250.34 feet
Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.
Find the area of the shape shown below.
12
4
The answer to this question is 32
Answer:
32
Step-by-step explanation:
In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
A. 80°
o
o
120-
B. 30°
C. 120
O O
D. 60°
SUEM MES
< PREVIOUS
Answer: The correct answer is D!!! 60
Step-by-step explanation:
The measure of the value of x from the given quadrilateral is 81 degrees.
Circle geometryFrom the given diagram, the quadrilateral is inscribed in the circle.
USing the theorem; "the sum of opposite angle of a quadrilateral is 180degrees, hence;
x + 98 = 180
Subtract 98 from both sides
x + 98 - 98 = 180 -98
x = 180 - 98
x = 81 degrees
Hence the measure of the value of x from the given quadrilateral is 81 degrees.
Learn more on geometry here: https://brainly.com/question/20303542
#SPJ5
Please help me with this question
Answer:
Either 36.35 or 16.00173
Step-by-step explanation:
the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.
IF you are supposed to use inverse cosine:
16.00173
IF NOT:
36.35182
3. Which line is horizontal?
A. y = 2
B. y = 2x
C. y = -2x
D. y = x
Answer: y = 2
Explanation: When the equation of any line reads y = a number, its graph will always be a horizontal line.
So, y = 2 would be a horizontal or flat line.
PLZ HElp!! Solve the inequality. –6 < 2x – 4 < 4
Answer:
- 1 < x < 4
Step-by-step explanation:
[tex] - 6 < 2x - 4 < 4 \\ - 6 + 4 < 2x < 4 + 4 \\ - 2 < 2x < 8 \\ \frac{ - 2}{2} < x < \frac{8}{2} \\ \purple{ \boxed{ \bold{ - 1 < x < 4}}}[/tex]
30 points! Fraction Equasion
Answer: -3.3
Step-by-step explanation:
Answer:
-3.3
Step-by-step explanation:
-2.3 - (4.5 - 3 1/2)
Change the fraction to a decimal)
-2.3 - (4.5 - 3.5)
Parentheses first
-2.3 - (1)
Subtract
-3.3
Some insight: This is a unit rate question.
Answer:
i think is B.
Step-by-si tep explanation:
Find the product of (−2r+6s)(−2r−6s). Write your answer in standard form.
Answer:
4r^2 - 36 s^2
Step-by-step explanation:
Evaluate 7 r − 15 s 7r− s 15 7, r, minus, start fraction, 15, divided by, s, end fraction when r = 3 r=3r, equals, 3 and s = 5 s=5s, equals, 5.
Answer: 18
Step-by-step explanation:
Evaluate 7 r − 15 /s
Given that r = 3 and s = 5
7r - 15/s
Substitute 3 for r and 5 for s in the above expression
7(3) - 15/5
= 21 - 3
= 18
Answer:
18
Step-by-step explanation:
Sloane needs 2/3 hour to drive to her grandmother's house. It takes her 4 times as long to drive to her cousin's house. How long does it take to drive to her cousin's house? It takes ____ hours to drive to her cousin's house.
Answer:
8/3 hours
Step-by-step explanation:
Sloane drives for 2/3 hours to get grandmother's house
Inorder to arrive at her cousin's house she is required to drive 4 times longer
= 2/3 ×4
= 8/3 hours
Thus, Sloanne needs to drive for 8/3 hours inorder to reach her cousin's house.
does anyone know the answer to this please ?
Answer:
I think it's the first one.
N/A
N/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/A
Answer:
why is there an N not paired up with A at the beginning, and an A without an N at the end? oh my gosh dude pair them up theyre lonely
Step-by-step explanation:
is 5/2 irrational or rational
Which expression is equivalent to
ва ?
o areks
22
зев
обек
22
34
Answer:
22
Step-by-step explanation:
it is epuivalet
Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the pizza did they each take home?
Answer:
7/16
Step-by-step explanation:
A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% with a standard deviation of 5%. Use the calculator to show what percentage of students scored between a 73 and 78 (C grade).
Answer:
38.11%
Step-by-step explanation:
Given that:
Mean (μ) = 75, standard deviation (σ) = 5
Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.
For x = 73, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]
For x = 78, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]
From the probability distribution table:
P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%
Which of the following describe the growth rate of the exponential function in the graph below?
Answer:
B)
Step-by-step explanation:
Let's check each answer:
A is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,5) instead
B is correct. The y-coordinate gets multiplied by 3 each time (0,1)->(1,1*3)->(2,3*3)->(4,3*3*3)
C is incorrect. If that were the case, (1,3) to (2,9) would be (1,3) to (2,7) instead.
D is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,4) instead.
Therefore, the correct answer is B.
Answer:
Its B :)
Step-by-step explanation:
I j took the unit quiz lol
X2+Y2−8X+6Y+21=0 Use the process of completing the square to rewrite the equation above as the equation of a circle in standard form , and identify the center and radius . The center is at the point ( , ) The radius is
Answer:
Step-by-step explanation:
hello : here is an solution
HELPPPP PLEASE ! GET POINTS AND BRAINLIEST!
Answer:
1. segment RT
2. segment QS
3. segment PS
4. < QTR
5. arc QR
6. arc QSR
7. arc QS
These are all by definition.
Radius: distance from the center of a circle to a point on the circle
Diameter: a chord that goes through the center
Chord: any segment whose endpoints are on the circle
Central Angle: an angle at the center of the circle with endpoints on the circle
Minor Arc: arc that is less than 180 degrees
Major Arc: arc that is greater than 180 degrees
Semicircle: Arc of 180 degrees
Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each scarf uses 0.1, point, 1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, and she wants to make a total of 20 items. Let h be the number of hats Elliott makes and s be the number of scarves she makes. Which system of equations represents this situation?
Answer:
Step-by-step explanation:
Let h be the number of hats Elliott makes and s be the number of scarves she makes.
Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as
h = 2s
The total number of hats and scarves that she wants to make is 20. This is expressed as
h + s = 20
Therefore, the system of equations that represents this situation are
h = 2s
h + s = 20
Answer: The answer is letter C
Step-by-step explanation:
Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information:
20 feet long 6 feet widthA reasonable scale and make a scale drawing of the porch could be :
1 inch =4 feet
<=> the length side: 20:4 = 5 inches
<=> the width side: 6:4 = 1.5 inches
Hope it will find you well.
The difference of a number and 8 is no more then 13
x - 8 = </= 13
x could be from 9 to 21
May someone help me solve
g(x)=8x^2-10x-3 and find the x intercepts
X intercepts:
(-1/4,0),(3/2,0)
What are the steps of finding the Circumference of a circle
Answer:
How to find the circumference of a circle:
Step-by-step explanation:
The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as largeHope this helps! :)
Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9 Veronique: A = 1,800 (1 + 0.05) Superscript 7, Lily: A = 1,000 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9
Answer:
Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7
Step-by-step explanation:
the equation used to calculate future value of an investment (or bank deposit) using compound interest is:
future value = present value x (1 + interest rate)ⁿ
Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47Answer:
the answer would be A
Step-by-step explanation:
what the person above said.
4688-3) -30X-5 CX-5)
Answer:
x = 13/3
Step-by-step explanation:
4(8x-3) - 30x = 5(x-5)
Distribute
32x - 12 - 30x = 5x -25
Combine like terms
2x -12 = 5x-25
Subtract 2x from each side
2x-12-2x = 5x-2x -25
-12 = 3x-25
Add 25 to each side
-12+25 = 3x-25+25
13 = 3x
Divide each side by 3
13/3 = x
Answer:
x ≈ 4.3
Step-by-step explanation:
Distribute the 4 to (8x - 3) and the 5 to (x - 5), like so:
4(8x - 3) - 30x = 5(x - 5)
32x - 12 - 30x = 5x - 25
Add like terms (32x and -30x), like so:
32x - 30x = 2x
2x - 12 = 5x - 25
Subtract 2x from both sides:
2x - 12 = 5x - 25
-2x -2x
____________
-12 = 3x - 25
Add 25 to both sides:
-12 = 3x - 25
+ 25 + 25
____________
13 = 3x
Divide both sides by 3:
4.3 ≈ x
Money is shared between kiera and louise in the ratio 4 :5 If £36 is shared how much does kiera recievve
Answer:
18$
Step-by-step explanation:
Answer:
£16
Step-by-step explanation:
Sum the parts of the ratio, 4 + 5 = 9 parts
Divide the money by 9 to find the value of one part of the ratio
£36 ÷ 9 = £4 ← value of 1 part of ratio, thus
4 × £4 = £16 ← Kiera's share of the money
The partial pressure of carbon dioxide in a mixture is 0.31 atm.
If the mole fraction of the carbon dioxide is 0.46, what is the
total pressure of the mixture?
Answer:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
Step-by-step explanation:
For this case the partial presure of carbon dioxide is given by:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
What is the surface area of the square pyramid?
A net has a square base with side lengths of 2, and 4 triangles with heights of 3.
square units:
9514 1404 393
Answer:
16 square units
Step-by-step explanation:
The area of the square base is ...
A = s²
A = 2² = 4
The area of each triangle is ...
A = (1/2)bh
A = (1/2)(2)(3) = 3
So, the area of the base and 4 triangles is ...
total area = 4 + 4(3) = 16 . . . square units
Answer:
its 16
Step-by-step explanation:
