The blueprint for the Moreno​'s living room has a scale of . The family wants to 2 inches= 3 feet use a scale of 1 inch =4 feet. What is the width of the living room on the new​ blueprint?

Answer:

height = 5.33 m (nearest hundredth)

area of wall = 41.66 m² (nearest hundredth)

Step-by-step explanation:

To find the height of A above the ground, find the height of the triangle and add it to the height of the rectangle.

The dashes on the sides of the triangle mean they are equal in length. Therefore, this triangle is an isosceles.  If we draw a line down the center of the triangle to create 2 right triangles, their top angles will be 65° (half of 130°) and they will each have a base length of 5 m (see attached diagram).

To find the height, use the tan trig ratio:

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\sf \implies tan(65)=\dfrac{5}{h}[/tex]

[tex]\sf \implies h=\dfrac{5}{tan(65)}[/tex]

[tex]\sf \implies h=2.331538291...[/tex]

Therefore, the height of A above the ground:

⇒ height = 3 + 2.331538191 = 5.33 m (nearest hundredth)

----------------------------------------------------------------------------------------

To find the area of the wall, sum the area of the rectangle and the area of the triangle.

Area of rectangle = width x height

                              = 3 x 10

                              = 30 m²

Area of triangle = 1/2 x base x height

                          = 1/2 x 10 x 2.331538191

                          = 11.65769145 m²

Total area of wall = 30 + 11.65769145 = 41.66 m² (nearest hundredth)

Answer:

u cant find the area if you dont add a picture or say if the cm is the width or the lenth.

L BOZO

Step-by-step explanation:

Answer:

PLEASE ADD PICTURE OR NOT ANSWER!

Step-by-step explanation:

We don’t know the problem. Pls apply it.

The 3 inside angles of a triangle need to equal 180.

X = 180 - 70 - 20 = 90

x = 90 degrees

Answer:

254.34 m²

Step-by-step explanation:

The formula used to find the area of a circle is π · r².
The radius of a circle is half of it's diameter.
Using the given values, we can solve:

3.14 · 9²

3.14 · 81

= 254.34 m²

hope this helps!

Answer:

Area = 254.469004940773 m²

Step-by-step explanation:

formula : (area of a circle)

Area = π × r²

where r is the radius of the circle

[tex]\large \text r = \frac{\large \text Diameter \ of \ the \ circle }{2} = \frac{18}{2} =9\ m[/tex]

then

Area = π × 9²

        = π × 81

        = 254.469004940773 m²

The angle shown is less than 90 degrees so it is an acute angle.

answer: acute

Answer: 2m+5

Step-by-step explanation:

4−2m+4m+1

Combine −2m and 4m to get 2m.

4+2m+1

Add 4 and 1 to get 5.

5+2m

Answer: 2m + 5

Step-by-step explanation:

Just do:

So, 2m + 5

Answer: x = 16, y = 9

D. x + y = 25

x - y = 7

Step-by-step explanation:

        Let x be a number and y be another. First, I will write the problem out using equations. Then I can solve by graphing, see attached. Their point of intersection is the answer, x = 16 and y = 9.

    The sum of two numbers is 25

x + y = 25

    Their difference is 7

x - y = 7

          D. x + y = 25

          x - y = 7

Answer:

0.324 inch

Step-by-step explanation:

When asked to write two hundred thousandths as a decimal, three students gave three different answers as shown below. so you have to find by decimals..

Answer:

12x^3

Step-by-step explanation:

they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3

just add them and you're set

Answer:

x=5 or -7

step by step:

x2+2x−35=0

Step 1: Factor the left side of the equation.

(x−5)(x+7)=0

Step 2: Set factors equal to 0.

x−5=0 or x+7=0

x=5 or x=−7

Answer:

Your X value would equal to:
5 or -7




(images attached below show a step by step explanation)

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

A

B

A

C

D

C

A

B

B

D

Step-by-step explanation:

Answer:

There is no table, so I'll just calculate the theoretical.

125/5=25.

So, 20% to get a card with the number 3

Answer:

A:) Yes it is a right triangle

Step-by-step explanation:

[tex]~~~~\left(\sqrt{5} \right)^2= \left(\sqrt{2} \right)^2+\left(\sqrt{3} \right)^2\\\\\implies 5=2+3\\\\\implies 5=5[/tex]

Answer:

A

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = [tex]\sqrt{5}[/tex] , and ([tex]\sqrt{5}[/tex] )² = 5

([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{3}[/tex] )² = 2 + 3 = 5

Thus the 3 sides form a triangle

Answer:

It's 3.5

(from the answer 3.464101615)

Hope this helps!

Answer:

[tex]52.8cm^{2}[/tex]

Step-by-step explanation:

Perimeter = 26.4 cm

Apothem = 4.0 cm

The area of an regular octagon can be defined as the [tex]\frac{perimeter*apothem}{2}[/tex]

when we plug in our values we get the equation [tex]\frac{26.4cm*4.0cm}{2}=52.8cm^{2}[/tex]

The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37

Ratio is a term that is used to compare two or more numbers.

Therefore,

At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,

The Junior population at 2:00 pm is as follows;

Then, 120 / 15 = 8

20 × 8 = 160 students

The junior student increased by 120 by 2pm.

The Senior population at 2:00 pm is as follows;

45 × 8 = 360 students

360 senior student left by 2 pm.

Therefore,

Junior student by 2pm = 700 + 160 = 860 students

Senior student by 2 pm  = 110 - 360 = 740 students

The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37

learn more on ratio here: https://brainly.com/question/20331008

Answer:

Q1-298

Q2-422

Step-by-step explanation:

Answer:

$1.46

Step-by-step explanation:

We can use the principal of compound interest to solve this with the formula:

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

where P = initial principal

r = interest rate

n = number of times applied per time period

t = time periods elapsed

In this specific case, P = 0.55, r = 0.05, n = 1, and t =20

[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]

Answer:

17 meters

Step-by-step explanation:

|\ angle = 60 degrees here of triangle
|   \              <-- digitaly drawn triangle
|___\

cirlcle diameter is 60 meters, since pillar is at the center then the distance of the pillar to the edge of the circlular meadow is (60/2) 30 meters.

30 meters is opposite of the angle.

The height of the pillar is adjacent to the angle so use tangent to solve

Tan(60) = 30/x

Tan(60) = 1.7; make sure that calculator is in degrees and not in radians to not get an incorrect value

1.7 = 30/x --> 1.7x = 30

x = 30/1.7

x = 17.3205 meters

using 2 significant figures gives us 17 meters

Answer:

Step-by-step explanation:

Answer:

  9 blocks

Step-by-step explanation:

The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.

  12 + more = 5 + 9 + 7

  more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides

  more = 9

John must walk 9 blocks more.

_____

We recognize that 5+7 = 12, so that last part of the sum totals zero.

Hey there!

y = 74 - 7

START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value

y = 67

Therefore, your answer is: y = 67

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

[tex]\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units[/tex]

Answer:

A

Step-by-step explanation:

Cubes are numbers that are multiplied by itself three times so 6 times 6 times 6 is 216

Answer:

Below.

Step-by-step explanation:

1 / secA+tanA =  1 / [1/cosA+sinA/cosA))]

= 1/ [(1 + sinA)/cosA]

= cosA/(1+sinA)

Now check if this is identical to 1-sinA/cosA:

1-sinA/cosA = cosA/(1+sinA)

Cross multiply:

(1-sinA)(1+sinA) = cos^2A

1 - sin^2A = cos^2A

sin^2A + cos^2A = 1  

This is a known idenity.

So the original identity is true.

Answer: Which question I’ll do a

Step-by-step explanation:

Since it is turned into an 100 degree angle you do length times width and you will get your answer 90 degrees

Was this helpful

Answer:

Step-by-step explanation:

First a translation then a reflection.

Answer:

120 <= 16+(w*d)

108<=d*w

Step-by-step explanation:

let w = weeks and d = dollars saved per week