PLEASE HELP ME :)))Micheal is making scale drawings of rectangular rooms using a scale of 1in to 1 1/2 feet
Answers
Answer:
a) 256 ft^2 No
b) 150 ft^2 Yes
c) 300 ft^2 NO
d) 192 ft^2 Yes
w=8.5 in
l=11 in
A=w•l
A=8.5•11=93.5 in^2
Scale:
1in:1.5 ft
1in^2:2.25 ft^2
1in ^2. 2.25ft^2
93.5 in^2. Xft^2
X=2.25•93.5
X=210.375
Step-by-step explanation:
The required answers are below the scale drawings for each of these rooms:
a. 16 feet by 16 feet: No
b. 10 feet by 15 feet: es
c. 15 feet by 20 feet: NO
d. 12 feet by 16 feet: Yes
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
a. 16 feet by 16 feet:
The width of the room on the scale drawing will be 16/1.5 = 10.67 inches, and the length will also be 10.67 inches. Since both dimensions are greater than the width and length of the paper, the scale drawing will not fit on one piece of paper.
Answer: No.
b. 10 feet by 15 feet:
The width of the room on the scale drawing will be 10/1.5 = 6.67 inches, and the length will be 15/1.5 = 10 inches. The length dimension of the scale drawing fits on the paper, Therefore, the scale drawing will fit on one piece of paper.
Answer: Yes.
c. 15 feet by 20 feet:
The width of the room on the scale drawing will be 15/1.5 = 10 inches, and the length will be 20/1.5 = 13.33 inches. Both dimensions are greater than the width and length of the paper, so the scale drawing will not fit on one piece of paper.
Answer: Not.
d. 12 feet by 16 feet:
The width of the room on the scale drawing will be 12/1.5 = 8 inches, and the length will be 16/1.5 = 10.67 inches. Both dimensions are less than the width and length of the paper, so the scale drawing will fit on one piece of paper.
Answer: Yes.
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Related Questions
In the triangle CDE, point Y is the midpoint of segment CD and point X is the midpoint of segment DE,
Solve for x
A, 8
B. 6
C. 10
D-10
Answers
Answer:
Option A. 8 will be your answer
Step-by-step explanation:
hope it helps you
have a great day!!!
Natalie lost her job through no fault of her own. She had worked there for two years and the last year she earned $27,500. She has applied for unemployment insurance. What will her weekly benefit be?
Answers
Answer:
it should be around $527
Step-by-step explanation:
Answer:
550
Step-by-step explanation:
426 per week up to 26 weeks
The distance a train travels between 2 cities is 540 miles. The train travels at a speed of 80 miles per hour. Matt set up these rates to find the time it took the train to travel between the 2 cities.
Answers
Answer:
it takes 6 hours 40 minutes
Answer: 6.75 hours
Step-by-step explanation:
540%80=6.75
Help me please thanks
Answers
Replace x any with the given values:
x/y = 9/3 = 3
The answer is 3
Which rule describes the translation below? On a coordinate plane, triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime.
Answers
Answer:
(x, y) ⇒ (x - 5, y - 3)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).
Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:
(x, y) ⇒ (x - 5, y - 3)
Jackson invested $140 in an account paying an interest rate of 3 3/4% compounded
quarterly. Lucy invested $140 in an account paying an interest rate of 3 1/2%
compounded daily. After 10 years, how much more money would Jackson have in his
account than Lucy, to the nearest dollar?
Answers
Answer: $5
Step-by-step explanation:
The value of x is_____and the value of y is ___.
Answers
Answer:
x=60 y=50
Step-by-step explanation:
60+y=110
y=50
Work out the value of x.
Answers
5x=180
x=180/5
x=36
Z+k, when z=1 and k = 7
Answers
Answer:
8
Step-by-step explanation:
Replace the variables with numbers.
1+7=8
Answer:
8
Step-by-step explanation:
Since z equals 1 and k equals 7, we do 1 + 7 which is equal to 8. Therefore, the answer would be 8.
find the value of given expression
[tex] \sqrt{369 \times 369} [/tex]
Answers
Answer:
√{369×369}=√369²=369 is your answer
Answer:
your answer will be 369
Step-by-step explanation:
......
Blank minus 1/10 equals 1/2
Answers
5/10+1/10 = 6/10
6/10 = 3/5
3/5
I really need help...Will mark brainiest
Answers
Answer:
[tex]x^{2} -1[/tex]
Step-by-step explanation:
You will need to multiply and distribute out the equation.
[tex](x-1)(x+1)\\x^{2} - x + x -1\\x^{2} - 1[/tex]
Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 kilometres per hour and the other travels at an average speed of 70 kilometres per hour. How long after they leave the station will they be 50 km apart?
Answers
Answer:
1/3 hr or 20 min.
Step-by-step explanation:
Call the trains A and B
Remember d = rt
Distance train A travels is 80t
Distance train B travels is 70t
Now, 80t + 70t = 50
150t = 50
t = 50/150 = 1/3 hr or 20 min.
Step-by-step explanation:
One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr.
The store brought a pair of shoes for 40$ and sold it for 50$. What percentage was the markup?
Answers
Answer:
20%
Step-by-step explanation:
You would do 40/50 and then 40/50 is also 80/100. Then you'd take the remainder and that'd be the mark up price.
24% of 40
I need it worked out pls thank uuu:)
Answers
Step-by-step explanation:
24% is the same as 6/25
[tex] \frac{6}{25} \times 40 \\ = \frac{48}{5} = 9.6[/tex]
Answer:
9.6
Step-by-step explanation:
24% of 40 = 0.24 × 40 = 9.6
A and B are independent events. Find P(A and B). P(A)=1/5, P(B)=3/7
Answers
Answer:
Step-by-step explanation:
Andre runs for 35 seconds at a velocity of -8 meters per second. He is running west. What is his finishing position?
Answers
Answer:
d = -280 m
Step-by-step explanation:
Given that,
Velocity of Andre, v = -8 m/s
Time taken, t = 35 seconds
We need to find his finishing position. Let the finishing position be x.
We know that,
Velocity = distance/time
So,
[tex]d=v\times t\\\\d=-8\times 35\\\\=-280\ m[/tex]
so, he was at a distance of 280 m in west.
Simplify: 3x + 6y - (4x - 2y)
Answers
Answer:
-x + 8y
Step-by-step explanation:
A cast member is selling balloons on Main Street. He has 8
princess balloons, 5 blue Mickey balloons, and 7 red Mickey
balloons. He sells one balloon, and then another (no replacing).
Find the probability of selling one blue balloon followed by
another blue balloon and show the equation used.
Answers
Answer:
4/76 or simplified as 1/19
Step-by-step explanation:
5/20 is for the probability of the first balloon
4/19 is for the probability of the second balloon
5/20 can be simplified to 1/4 so 1/4 x 4/19 = 4/76
4/76 can also be simplified to 1/19
Which is the graph of y= 3/4x-3?
Graph C
Graph B
Graph A
Answers
The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card?
Answers
Answer:
$47.86
Step-by-step explanation:
A tax is a compulsory amount levied by the government or an agency of the government on goods and services
Taxes increases the price of goods and services. Thus, the amount paid would increase by the tax rate
Amount that needs to be on the gift card = amount of tax + price of the jacket
Price of the jacket = $45
Amount of tax = percentage tax rate x price of the jacket
0.0635 x $45 = $2.86
$45 + $2.86 = $47.86
La diferencia de dos numero es 3.su suma es 13 cuáles son los dos numero
Answers
Answer: Los dos números son 8 y 5
Explanation:
Considere los dos números como
x
and
y
A partir de los datos dados, escribimos:
x
−
y
=
3
x
+
y
=
13
A partir de la primera ecuación, determinamos un valor para
x
.
x
−
y
=
3
agregar
y
a ambos lados.
x
=
y
+
3
En la segunda ecuación, sustituya
x
with
(
y
+
3
)
.
x
+
y
=
13
(
y
+
3
)
+
y
=
13
Abra los corchetes y simplifique.
y
+
3
+
y
=
13
2
y
+
3
=
13
Sustraer
3
de cada lado.
2
y
=
10
Divide ambos lados por
2
.
y
=
5
En la primera ecuación, sustituya
y
con
5
.
x
−
y
=
3
x
−
5
=
3
Agregar
5
a cada lado.
x
=
8
Step-by-step explanation:
The shape of a patio is triangle without hight of 8 ft and base of 17 ft what is the cost of out door carpeting to cover the patio of the carpeting costs 6.50 per ft
Answers
Answer:
$442
Step-by-step explanation:
Given :
Height of patio, h = 8ft
Base of patio = 17 ft
Cost of carpeting = $6.50 per ft²
Area of triangular patio :
Area = 1/2 * base * height
Area = 0.5 * 17 * 8
Area of patio = 4 * 17
Area of patio = 68 ft²
Cost of carpeting :
Area of patio * contains st per ft²
68 * 6.50
= $442
If y=2x and 3x – 3y = 2, then x
Answers
Answer:
x = - 2/3
Step-by-step explanation:
2x = y
3x - 6x = 2
- 3x = 2
- 3x ÷ - 3 = 2 ÷ - 3
x = 2 ÷ - 3
x = - 2/3
Find the approximate radius of a circle with a circumference of 198 centimeters. Use 3.14
for it Round to the nearest hundredth.
A. 63.06
B. 31.53
C. 621.72
D. 310.86
Answers
The radius of the circle is around 31.65 cm. Choice B
The formula C = 2πr , where C is the circle's circumference and r is its radius, yields the circumference of a circle. In this illustration, the circle's circumference is given as 198 cm
C = 2πr
The formula to calculate the radius can be revised as follows:
r = C / (2π)
r = 198 / (2 * 3.14)
To perform the calculation, divide the numbers:
r ≈ 198 / 6.28
r ≈ 31.65
The circle's estimated radius is 31.65 centimetres as a result.
So, rounded to the closest hundredth, the estimated radius of the circle with a circumference of 198 centimetres is 31.65 centimetres.
The closest option to 31.65 in the list of possible answers is B. 31.53. It's crucial to keep in mind that choosing 3.14 as an approximation for involves some mistake and that the precise radius number might change slightly.
When rounded to the next hundredth, the radius is 31.65. This result can be compared to the other solutions to show that:
B. 31.53.
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AYUDAAAAAAAAAAAAAAAAAAAAA
si la medida de un angulo es tres veces la medida de su suplemento cual es la medida del angulo
Answers
Answer:
El ángulo lo representaremos por A
Su suplemento es 180-A
A=3(180-A)
A=540-3A
3A+A=540
4A=540
A=540/4
A=135°
Step-by-step explanation:
135=3(180-135)
135=3(45)
135=135
The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.
Let's denote the measure of the angle as x.
The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.
According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:
x = 3( 180 - x )
Now, let's solve this equation to find the measure of the angle:
x = 3( 180 - x )
x = 540 - 3x
4x = 540
x = 540 / 4
x = 135
Therefore, the measure of the angle is 135 degrees.
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The question is in Spanish question in English is :
If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?
PLEASE HELP ASAP PLEASE WILL GIVE BEST RATE AND BRAINLEST PLEASE
Answers
Answer:
I think it's 145.225 sq in.
Step-by-step explanation:
2.5 x 2 x 3.14 = 15.7
15.7 x 9.25 = 145.225
Answer:
its the second one
Step-by-step explanation:
2.5 x 2 x 3.14 = 15.7 because 3.14 is pi
and then do
15.7 x 9.25 = 145.225 so there you go
Use distributive property. 4 x 63 = ??
Answers
Answer:
(4) * (63)
252
(*￣3￣)╭
please help!!!! find the value of x
Answers
Answer:
The answer is x+2=7,
Step-by-step explanation:
because x is a variable
A geometric sequence is given by the recursive rule $a_1=\frac{2}{3},\ a_n=3a_{n-1}$ . Give an explicit rule for the nth term of the sequence $b_1,\ b_2,\ b_3,\ \dots\ ,$ given that $b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots$ .
Answers
Answer:
[tex]b_n = \frac{2}{27} (9^n)[/tex]
Step-by-step explanation:
Given
[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]
Required
An explicit rule for [tex]b_1,\ b_2,\ b_3,\ \dots[/tex]
Where [tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]
We have:
[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]
Calculate a2
[tex]a_2 = 3a_{2-1}[/tex]
[tex]a_2 = 3a_1[/tex]
[tex]a_2 = 3 * \frac{2}{3}[/tex]
[tex]a_2 = 2[/tex]
Calculate a3
[tex]a_3 = 3a_{3-1}[/tex]
[tex]a_3 = 3a_2[/tex]
[tex]a_3 = 3 *2[/tex]
[tex]a_3 = 6[/tex]
Calculate a4
[tex]a_4 = 3a_{4-1}[/tex]
[tex]a_4 = 3a_3[/tex]
[tex]a_4 = 3*6[/tex]
[tex]a_4 = 18[/tex]
Calculate a5
[tex]a_5 = 3a_{5-1}[/tex]
[tex]a_5 = 3a_4[/tex]
[tex]a_5 = 3*18[/tex]
[tex]a_5 = 54[/tex]
So:
[tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]
[tex]a_1=\frac{2}{3}[/tex] [tex]a_3 = 6[/tex] [tex]a_5 = 54[/tex]
The above sequence form a geometric sequence.
Calculate common ratio (r)
[tex]r = \frac{b_3}{b_2}[/tex]
[tex]r = \frac{a_5}{a_3}[/tex]
[tex]r = \frac{54}{6}[/tex]
[tex]r = 9[/tex]
So, the explicit formula is:
[tex]b_n = b_1 * r^{n-1[/tex]
[tex]b_1=a_1[/tex], so:
[tex]b_n = a_1 * r^{n-1[/tex]
[tex]a_1=\frac{2}{3}[/tex], so:
[tex]b_n = \frac{2}{3} * 9^{n-1[/tex]
Split:
[tex]b_n = \frac{2}{3} * \frac{9^n}{9}[/tex]
[tex]b_n = \frac{2}{3*9} (9^n)[/tex]
[tex]b_n = \frac{2}{27} (9^n)[/tex]
The explicit rule is: [tex]b_n = \frac{2}{27} (9^n)[/tex]