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4 years ago

25 points! Answer both! please leave explanation!

Mathematics

1 answer:

aliya0001 [1]4 years ago

4 0

1) To solve for x you'll use the sine formula

sin 27 = 34/x
x = 34/sin27
x = 74.89

2) to find the value of x you'll use the tangent formula

tan 49 = x/55
55(tan49) = x
63.270

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4x-9y=9

Alexxandr [17]

Multiply both sides of the second equation by 4. That will give you -4x in the second equation which when added to 4x of the first equation will eliminate x.

Second equation:
-x + 3y = 6

Multiply the second equation by 4 on both sides:
-4x + 12y = 26

5 0

3 years ago

There are 36 students on the bus. There are 2 times as many girls than boys on the bus. On your paper, write a system of liner e

Ghella [55]

X = girls
y = boys
z = students in the bus

x + y = z
x + y = 36

total girls = 2 * total boys
x = 2 * y

2y + y = 36
3y = 36
y = 12
x = 2y = 24 (B)

7 0

4 years ago

Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round i

dsp73

Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

$v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s$

Also,

$v=r\omega$

Where

$\omega$ is the angular speed

So,

$\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s$

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

8 0

4 years ago

What is 3/m-2 = 7/m+2

kirill115 [55]

Answer:

3/m-2=7/m+2

3(m+2)=7(m-2)

3m+6=7m-14

3m-7m=-14-6

-4m=-20

m=20/4

m=5

6 0

3 years ago

Can someone please help me with math.

Oxana [17]

Answer:

Step-by-step explanation:

Hello There!

First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)

Because the fee is 3 dollars we can immediately eliminate answers B and C

Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)

Once again we want to choose two points on the line and plug it in into the slope formula

the points are optional but i have chosen the points (1,4.5) and (2,6)

*plug it into the slope formula*

$slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5$

so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A

7 0

3 years ago