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egoroff_w [7]
3 years ago
14

Write a quadratic equation to represent the situation. Solve the equation by factoring. Use the table and graphing method to che

ck. NEED QUADRATIC EQUATION! A rectangular poster has an area of 190 square inches. The height of the poster is 1 inch less than twice its width. Find the dimensions of the poster.
Mathematics
1 answer:
Tcecarenko [31]3 years ago
3 0

Answer:

L * W = area

L * W = 190

L + 1 = 2W

Therefore, L = 2W - 1

The easiest way to do this is to find the factors, and then see what fits.

Step-by-step explanation:

Factors of 190 = {190,1}, {95,2}, {5,38}, {19,10}

In which of these pairs is one number "twice as much less one" than the other?  

The solution is 19,10. 19*10 = 190 square feet. The length (19) is twice the width (10) minus one.

You might be interested in
Height is 2ft. More than its width. If the total area is 99ft squared , determine the dimensions of the painting.
lesantik [10]

Answer: 9\times 11\ ft^2

Step-by-step explanation:

Given

Height is 2\ ft more than its width

Suppose the width is x. So, height becomes x+2

Area of the painting is 99\ ft^2

Area is the product of width and height

\therefore 99=x(x+2)\\\Rightarrow 99=x^2+2x\\\Rightarrow x^2+2x-99=0\\\Rightarrow x^2+11x-9x-99=0\\\Rightarrow (x+11)(x-9)=0\\\Rightarrow x=-11,9

Neglect the negative values

\text{Width =}9\ ft\\\text{height =}9+2=11\ ft

4 0
3 years ago
Evaluate the function f(x) = sec(x - ) for x = 0.
telo118 [61]
Answer:


explanation:
8 0
4 years ago
Angels I need MAJOR HELP
Vlada [557]
<2 and <3 are supplementary angles...therefore they must equal 180°

since <2 = 125
you can find the measure of <3 by subtracting the measure of <2 from 180°

180 - 125 = 55° < answer

hope this helps :)







6 0
4 years ago
Find the sine, cosine, and tangent of 45 degrees.
frosja888 [35]

Answer:

The correct answer is option C.

Sin 45 degrees = square root of 2 divided by 2, cos 45 degrees = square root of 2 divided by 2, tan 45 degrees = 1

Step-by-step explanation:

The sin cos tan table used to calculate values of the ratios for different angles can be used for the values.

The table is easily available on the internet.

WE can use a a right-angles isosceles triangle to find the exact values for the angle 45.

The equal sides have length 1. So the thirs side using the pythagoras theorem will be √2.

So

Sin 45 = √2/2

Cos 45 = √2/2

and

Tan 45 = 1

So the correct option is C.

4 0
3 years ago
True or false 6,859^1/3 can be written as square root 3 19^3
Dennis_Churaev [7]
6859^{ \frac{1}{3}}

Using the index law a^{ \frac{m}{n}} =  (\sqrt[n]{a} )^m

\sqrt[3]{6859}=19, so we can also write this as
( \sqrt[3]{19^3} )

Answer: TRUE

7 0
3 years ago
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