All categories

3 years ago

25 POINTS!!!!

Mathematics

1 answer:

morpeh [17]3 years ago

6 0

Answer:

C) 154

Step-by-step explanation:

This is the formula A=πr^2 so, 3.14*7^2=153.86 so glad to help you this is my 100th math q!!!

You might be interested in

2. through: (8,5), perpendicular to y=-1/2x +4

SCORPION-xisa [38]

Perpendicular slope: flip sign and reciprocal = 2
Y = 2x + b
Plug in point (8,5)
5 = 2(8) + b
5 = 16 + b
b = -11
Equation: y= 2x - 11

7 0

3 years ago

Solve using law of sines or law of cosines!

malfutka [58]

Answer:

Part 5) The length of the ski lift is $1.15\ miles$

Part 6) The height of the tree is 18.12 m

Step-by-step explanation:

Part 5)

Let

A -----> Beginning of the ski lift

B -----> Top of the mountain

C -----> Base of mountain

we have

$b=0.75\ miles$

$A=20\°$

$C=180\°-50\°=130\°$ ----> by supplementary angles

Find the measure of angle B

Remember that the sum of the interior angles must be equal to 180 degrees

$B=180\°-A-C$

substitute

$B=180\°-20\°-130\°=30\°$

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute

$\frac{0.75}{sin(30\°)}=\frac{c}{sin(130\°)}$

$c=\frac{0.75}{sin(30\°)}(sin(130\°))$

$c=1.15\ miles$

Par 6)

see the attached figure with letters to better understand the problem

Applying the law of sines in the right triangle BDC

In the right triangle BDC 20 degrees is the complement of 70 degrees

$\frac{BC}{sin(70\°)}=\frac{x}{sin(20\°)}$

$BC=(sin(70\°))\frac{x}{sin(20\°)}$ -----> equation A

Applying the law of sines in the right triangle ABC

In the right triangle ABC 50 degrees is the complement of 40 degrees

$\frac{BC}{sin(40\°)}=\frac{x+15}{sin(50\°)}$

$BC=(sin(40\°))\frac{x+15}{sin(50\°)}$ -----> equation B

Equate equation A and equation B and solve for x

$(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m$

Find the value of BC

$BC=(sin(70\°))\frac{6.6}{sin(20\°)}$

$BC=18.12\ m$

therefore

The height of the tree is 18.12 m

5 0

4 years ago

Can you guys distribute this problem and then figure out how many solutions does this problem have 5(m-3)=7m-17

Cloud [144]

   5 (m - 3) = 7m - 17

Eliminate
parentheses: 5m - 15 = 7m - 17

Subtract 5m
from each side: - 15 = 2m - 17

Add 17
to each side:    2 = 2m

Divide
each side
by 2 :    1 = m

No more solutions.
Only one.

6 0

4 years ago

Sarah is solving the equation -7/8x=24

ExtremeBDS [4]

the answer would be -21 because you would have to multiply the 24 by -7 because it is dividing on the other side. and then you would have to divide the number you get by 8

so basically, it will look like this step by step:

-7/8x=24

8x=24*-7

8x=-168

x=-168/8

x= -21

7 0

4 years ago

The radius of the base of a cylinder is 28 cm and its height is 48 cm. Find the surface

Furkat [3]

Answer:

D) $4256\pi\:\text{cm}^2$