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3 years ago

Write the mixed number or fraction as a decimal.

Mathematics

1 answer:

user100 [1]3 years ago

3 0

#1 is D. 3.875
#2 is B. 0.35

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PLEASE ANSWER ASAP! THANK YOU! SUPER EASY! Mrs. Davis is planning to put a circular rug in her living room. The circumference of

netineya [11]

Answer:

Part A) The diameter of the rug is $10\ ft$

Part B) The radius of the rug is $r=5\ ft$

Part C) The area of the rug is $78.5\ ft^{2}$

Step-by-step explanation:

Part A) Find the diameter of the rug

we know that

The circumference of a circle (circular rug) is equal to

$C=\pi D$

where

D is the diameter

we have

$C=31.4\ ft$

$\pi=3.14$

substitute the values and solve for D

$31.4=(3.14)D$

$D=31.4/(3.14)=10\ ft$

Part B) Find the radius of the rug

we know that

The radius of a circle (circular rug) is half the diameter

we have

$D=10\ ft$

$r=D/2$

substitute

$r=10/2=5\ ft$

part C) What is the area the rug is covering?

The area of the circle (circular rug) is equal to

$A=\pi r^{2}$

we have

$r=5\ ft$

$\pi=3.14$

substitute

$A=(3.14)(5)^{2}$

$A=78.5\ ft^{2}$

7 0

3 years ago

Is the triangle obtuse, acute, equilateral or right?

Stells [14]

9514 1404 393

Answer:

obtuse

Step-by-step explanation:

The law of cosines tells you ...

b² = a² +c² -2ac·cos(B)

Substituting for a²+c² using the given equation, we have ...

b² = b²·cos(B)² -2ac·cos(B)

We can subtract b² to get a quadratic in standard form for cos(B).

b²·cos(B)² -2ac·cos(B) -b² = 0

Solving this using the quadratic formula gives ...

$\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}$

The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

$\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}$

The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.

4 0

3 years ago

Read 2 more answers

Find the value of X. 40,x

Vilka [71]

Answer:

x = 70°

Step-by-step explanation:

x = one of the congruent angles in the triangle

Given angle measure: 40°

x = ? + ? = 180 - 40 = 140

x = 70

4 0

3 years ago

Read 2 more answers

Question 2 (multiple choice)

castortr0y [4]

Your x-intercept is at (-2,0) and your y intercept at (0,-3), so it's D

4 0

3 years ago

What is the conditional probability that a person who rode a rollercoaster also attended a musical review show

Airida [17]

Answer:

777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777

Step-by-step explanation:

4 0

3 years ago