MATHEMATICS HIGH SCHOOL

John and Julie are planning to have a new house built the architect designs a house instant them the blueprints skilled at the art architect used on the blueprints is 2 1/2 inches equals 10 feet the living room what are the actual dimensions of 12‘ x 16‘ what are the dimensions on the blueprints

Answers

Answer 1

Answer:

3"x4

Step-by-step explanation:

The symbol for a foot is "ft", sometimes denoted by a prime(') , also, the inch is denoted by a double prime(").

Given

2 1/2inces (2.5") blue print represents 10ft living room

We are told that the dimension of the room on the blueprint is

12'x16'

Let us convert 12' to inches

2.5" represents 10'

X ' will be 12'

Cross multiplying

X=(2.5*12)/10

X=3"

Let us convert 16' to inches

2.5" represents 10'

Y ' will be 16'

Cross multiplying

Y=(2.5*16)/10

Y=4"

the dimension of the blue print is

3"x4"

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MULTIPLE CHOICE, PLS HELP!!θ lies in Quadrant II .

sinθ=4/7

What is the exact value of cosθ in simplified form?

Answers

We know that : Sin²θ + Cos²θ = 1

Given : Sinθ $\bf{= (4)/(7)}$

$\bf{\implies ((4)/(7))^2 + Cos^2(\theta) = 1}$

$\bf{\implies Cos^2(\theta) = 1 - (16)/(49)}$

$\bf{\implies Cos^2(\theta) =((49 - 16)/(49))}$

$\bf{\implies Cos^2(\theta) =((33)/(49))}$

$\bf{\implies Cos(\theta) = (\pm)((√(33))/(7))}$

Given : θ lies in Quadrant II

We know that : Cosθ is Negative in Quadrant II

$\bf{\implies Cos(\theta) = (-)((√(33))/(7))}$

Option 3 is the Answer

Verify the identity. Show your work.

(1 + tan2u)(1 - sin2u) = 1

Answers

I assume you mean (1 + tan^2u)(1 - sin^2u) = 1 so I solved it like that

because tanu = sinu / cosu ⇒ tan^2u = sin^2u / con^2u

(1 + sin^2u/cos^2u)(1 - sin^2u) =
(cos^2u/cos^2u + sin^2u/cos^2u)(1 - sin^2u) =
((cos^2u + sin^2u)/(cos^2u)) (1 - sin^2u) =

and because cos^2u + sin^2u = 1 we'll have

(1/(cos^2u)) (1 - sin^2u) =
1/(cos^2u) - sin^2u/(cos^2u) =
(1 - sin^2u) / (cos^2u) =

notice that 1 - sin^2u is equal to cos^2u

cos^2u / cos^2u = 1

Find one counterexample to show that the conjecture is false.1 and 2 are supplementary, so one of the angles is acute.
Choose the best counterexample for the conjecture.
O A. mZ1 = 119° and mZ2 = 61°
O B. mZ1 = 39° and mZ2 = 51°
O C. mZ1 = 32º and mZ2 = 157°
O D. mZ1 = 90° and mZ2 = 90°

Answers

B because that’s the answer

Today is sunday. Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages, with no exception. How many days does it take him to read the entire book

Answers

Based on the information given, it can be noted that Tom will use 117 days to read the book.

How to solve a equation.

Based on the information given, we are informed that Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages.

Let the number of days be represented by x. Therefore, the equation to solve the question will be:

25 + (4 × x) = 490

25 + 4x = 490

4x = 490 - 25

4x = 465

x = 465/4

x = 116.25

x = 117

Therefore, he'll use 117 days to read the book.

Learn more about equations on:

brainly.com/question/13763238

Simplify 5(MN + 1) - 5.