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3 years ago

Which is the correct answer?

Mathematics

1 answer:

Anna11 [10]3 years ago

8 0

Answer:

105°

Step-by-step explanation:

The measure of a right angle is = 90° if the original angle is 15° less than right angle than 90 + 15 = 105°

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What is the side length, in inches, of the pets

tatiyna

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?

Answer:

the length of the sign is $4x-5$ inches

Step-by-step explanation:

Given

Area of the square of design = $16x^{2} -40x+25$

First we find the roots of equation $16x^{2} -40x+25=0$

The roots of the quadratic equation $ax^{2} +bx^{2} +c=0$ are given by

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where $a=16, b=-40, c=25$

$x=\frac{40\pm\sqrt{(-40)^2-4\times 16\times 25}}{2\times 16}$

$x=\frac{40\pm\sqrt{1600-1600}}{32}$

$x=\frac{40\pm\sqrt{0}}{32}$

$x=\frac{40}{32}$

$x=\frac{5}{4}$

$4x=5\\4x-5=0$

That is, the factors of the polynomial $16x^{2} -40x+25$ are $4x-5$ and $4x-5$ .

So, Area of the square design = $16x^{2} -40x+25$ = $(4x-5)^{2}$

Area of a square = Length^2

Thus, the length of the sign is $4x-5$ inches

7 0

2 years ago

PLEASE HELP LAST PROBLEM I NEED HELP ON (Homework Help)

V125BC [204]

Answer:

Step-by-step explanation:

so the 2 in front means stretch 0f 2 the -3 in the parenthaesis means right 3 and the 1 means up 1

7 0

2 years ago

For each expression ,use the distributive property to write an equivalent expression

liq [111]

A. 4•x and 4•2 this would turn in 4x+8
B. x•6 and x•8 this would turn into 6x+8x and this equals to 14x
C. 4•2x and 4•3 this would turn into 8x+12.
D. 6•x, 6•y, and 6•z this would equal 6x+6y+6z.

I’m sorry if it’s not clear this is my first answered question.

3 0

3 years ago

A sphere has a diameter of 20 cm. What would bre the volume of sphere? Please help due today

Tomtit [17]

4188.79 would be de answer. Hope that helps.

6 0

3 years ago

Alex buys a subscription to a streaming site. The function describes the 5.50m c=3+2 cost of the yearly subscription,c, in terms

azamat

Answer:

$5.50 = c = 3 + 5 = 7c \\ \\ then \: divide \: 5.50to \: the7 \\ \\$

Step-by-step explanation:

the answer u will get after

3 0

3 years ago