MATHEMATICS HIGH SCHOOL

dalanay enlarges a photograph tahst is 3 inches long and 2 inches wide. the length of the enlarged photograph is 15 inches. what is the width of the enlarged photograph, in inches?​

Answers

Answer 1
Answer:

Answer:

10 inches

Step-by-step explanation:

Length of photograph, L1 = 3 inches; Length of enlarged photograph, L2 = 15 inches; Width of photograph, W1 = 2 inches; Width of photograph, W2 = ?

Hence, L1/L2 = W1/W2

∴ W2 = (L2*W1)/L1 = (15 X 2)/3 = 10 inches

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What is 6.213 as a mixed number

Answers

6.213 as a mixed number would be 6 and 213/1000.

all you do to convert it to a mixed number is look at how many numbers are after the decimal.

since theres 3 numbers, that means it would be in the thousands place

What is the solution to this system of linear equations?

x + y = 4

x − y = 6

Answers

Answer:

x=5 , y= -1

Step-by-step explanation:

You can see that one of the y's is negative while the other is positive, so you can add them together.

Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.

Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.

You can simplify that into x=5. This gives you the answer for x

Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.

Simplified, y= -1

Therefore, x= 5 and y=-1

Answer:

(5,-1)

Step-by-step explanation:

Got it right on edge cause of the guy above me

If log 6=a, then log 600= ?

Answers

\log 600 = \log (100 \cdot 6)= \log 100 + \log 6 = \log 10^2 + \log 6 = \n 2 \log 10 +\log 6 =2+\log 6 = \boxed{a+2} \n \hbox{From formulas:} \n \log a + \log b = \log (ab) \n \log a^b = b\log a

The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.

Answers

Answer:

B.The expression 75ℎ represents the total charge for Elegance Home Architects.

D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Step-by-step explanation:

Which of the following statements are true? Select all that apply.

A.The expression 50ℎ represents the total charge for Rock the House Digital Designs.

B.The expression 75ℎ represents the total charge for Elegance Home Architects.

C.The cost for using Rock the House Digital Designs for an initial consultation only is $550.

D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Answer:

Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. If they are hired for h hours, the total charge for Rock the House Digital Designs would be:

Total charge for Rock the House Digital Designs = 500 + 50h

Elegant Home Architects charge $75.00 per hour for the house plans, if they work for h hours, the total charge would be:

Total charge for Elegance Home Architects = 75h

A) Option A is not correct since the total charge for Rock the House Digital Designs is 500 + 50h

B) Option B is correct because the total charge for Elegance Home Architects = 75h

C) Option C is not correct, For an initial consultation, the cost for using Rock the House Digital Designs is $500

D) For a period of 15 hours:

Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(15) = $1250

Total charge for Elegance Home Architects = 75h = 75(15) = $1125

Option D is correct because Elegance home architect would be cheaper

E) For a period of 40 hours:

Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(40) = $2500

Total charge for Elegance Home Architects = 75h = 75(40) = $3000

Option D is correct because Rock the House Digital Designs would be cheaper

Solve the equation by completing the square. If necessary, round to the nearest hundredth. x² – 18x = 19
1; 19
–1; 19
3; 6
–3; 1

Answers

Answer:

Option B. x = -1, 19

Step-by-step explanation:

The given equation is x² - 18x = 19

We can get the value of x by factorizing the expression or by quadratic formula.

We will try to factorize the equation first. If we find no factors then we will apply quadratic formula to get the value of x.

x² - 18x - 19 = 0

x² - 19x + x - 19 = 0

x(x - 19) + 1(x - 19) = 0

(x - 19)(x + 1) = 0

x = 19, -1 will be the solutions.

So there is no need to apply quadratic formula.

Option B. x = -1, 19 is the answer.
ax^2+bx=c
REMEMBER THIS

ok
first, make sure that a is 1
done

now take 1/2 of b and square it

-18/2=-9, (-9)^2=81
add that to both sides

x²-18x+81=19+81
x²-18x+81=99
factor perfect square
(x-9)²=100
square root both sides
don't forget positive and negative root
x-9=10
x-9=-10
ad 9 to both sides

x=19
x=-1




answer is -1; 19

2nd choice is answer

The diameter of circle C is 18 cm. Chord AD is the same length as a radius. Use this information, the diagram, and your experiences in geometry this semester to answer these questions. a) what are the measures of the angles BDA and DBA?. b) What is the sine of angle DBA? c) Find the length of arc AB to the nearest hundredth. d) How does the length of arc AD compare to the length of arc AB? e) If FE = 1/2 BD, then what is the degree measure of arc EF?

Answers

A ) ∠ BDA = 60°
∠DBA = 30°
B ) sin (∠DBA ) = sin 30° = 1/2
C ) arc AB = 1/3 · 2 r π = 1/3 · 18 π = 6 π = 6 · 3.14 = 18.84 cm
D ) arc AD : arc AB = 1 : 2
E ) Degree measure of an arc is equal to the measure of the central angle that intercepts the arc. The degree measure is 60° ( F E = 9 cm, r = 9 cm ). 
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