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2 years ago

Answer choices: A: y=x B: y=1/4x -2 C: y= -x + 7/4 D: y= 7/4x -2

Mathematics

1 answer:

Nuetrik [128]2 years ago

5 0

Answer:

b: y=1/4x -2

Step-by-step explanation:

It says the answer in the question. the slope on the graph is really just 1 though.

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each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the tria

mote1985 [20]

Answer:

The area of the region inside the circumcircle of the triangle but outside the triangle is

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of triangle

we have an equilateral triangle

Applying the law of sines

$A_t=\frac{1}{2}(b^2)sin(60^o)$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

$A_t=\frac{1}{2}(81)sin(60^o)$

$A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}$

$A_t=81\frac{\sqrt{3}}{4}\ units^2$

step 2

Find the area of circle

The area of the circle is equal to

$A_c=\pi r^{2}$

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

$r=b\frac{\sqrt{3}}{6}$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

substitute

$r=(9)\frac{\sqrt{3}}{6}$

$r=3\frac{\sqrt{3}}{2}\ units$

Find the area

$A_c=\pi (3\frac{\sqrt{3}}{2})^{2}$

$A_c=\frac{27}{4} \pi\ units^2$

step 3

Find the area of the shaded region

we know that

The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle

$A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2$

Simplify

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

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3 years ago

Evaluate the expression when y=5 and x=18 x-3y

Keith_Richards [23]

Answer:

Step-by-step explanation:

Step 1: replace y for 5, and x for 18

x-3y

18-3(5)

Step 2: simplify.

18-15

6 0

3 years ago

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Please help ASAP!! I really need help!! thanks and god bless!

Artyom0805 [142]

Answer:

Figure ABC is congruent to figure A’B’C’.

Step-by-step explanation:

Any figure transformed by a rigid transformation is congruent

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3 years ago

A passenger train left Austin, Texas at 12:00 PM bound for Dallas, exactly 210 miles away; it traveled at a steady 50 miles per

olya-2409 [2.1K]

Answer:

3 hours
1 hour 45 minutes
300 miles

Step-by-step explanation:

1. The trains are moving toward each other at a total speed of 50 +20 = 70 miles per hour. Together, they cover the 210 mile distance in ...

time = distance/speed

time = 210 mi/(70 mi/h) = 3 h

The trains collide after 3 hours.

2. The fly is closing with the freight train at a speed of 100 +20 = 120 miles per hour. Together, the fly and the train cover the initial 210 mile distance in ...

(210 mi)/(120 mi/h) = 7/4 h = 1 hour 45 minutes

The fly first meets the oncoming freight train after 1 h 45 min.

3. The fly is flying for all three hours before the trains collide, so, at 100 miles per hour, will fly 300 miles.

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3 years ago

What is 33 x 25 by multiplying using partial products

iris [78.8K]

The answer is 825

hope i could help you

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3 years ago

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