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den301095 [7]
3 years ago
6

Find value of X. Please show steps:)

Mathematics
1 answer:
Viefleur [7K]3 years ago
4 0
10 degrees is in a 90 degree angle 
90-10 =80
use sin 
sin(80)=9/x
get x alone
x=9/sin(80)

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Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used. A biker ne
ANEK [815]

Answer:

The matrix equation is \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

Step-by-step explanation:

* Lets change the story problem to equations

- The distance between the starting point and checkpoint 1 is x

- The distance between checkpoint 1 to checkpoint 2 is y

- The distance between checkpoint and the finish line is z

- The total distance for the race is 120 miles

∴ x + y + z = 120 ⇒ (1)

-The distance from the starting point to checkpoint 1 is 35 miles

 more than half the distance from checkpoint 1 to checkpoint 2

∵ The distance from the starting point to checkpoint 1 is x

∵ The distance from checkpoint 1 to checkpoint 2 is y

- x is more than half y by 35

∴ x = 35 + (1/2) y ⇒ subtract (1/2) y from both sides

∴ x - (1/2) y = 35 ⇒ (2)

- The distance from checkpoint 2 to the finish line is 20 miles less

 than twice the distance from checkpoint 1 to checkpoint 2

∵ The distance from checkpoint 2 to the finish line is z

∵ the distance from checkpoint 1 to checkpoint 2 is y

- z is less than twice y by 20

∴ z = 2y - 20 ⇒ add 20 to both sides

∴ z + 20 = 2y ⇒ subtract z from both sides

∴ 2y - z = 20 ⇒ (3)

* Now lets write the three equations

# x + y + z = 120 ⇒ (1)

# x - (1/2) y = 35 ⇒ (2)

# 2y - z = 20 ⇒ (3)

- Now lets write the matrix equation that models this situation

∴ \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

6 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through (-2,0) and (0, -7)
MakcuM [25]

Answer:

Step-by-step explanation:

1.

(-2,0) (0,-7)                y2-y1

                            -----------------

                                 x2-x1

-7-0= -7

0- (-2)= 2             ------>>> -7/2 =m or slope

2.

y= -7/2x+b          to find b u plug in one pair of coordinates for example (-2,0)

                          and use inverse properties to find b

0 = -7/2(-2) + b

       14/2 = 7

0= 7+b

-7 -7

-----------

-7=b

3.

y=-7/2x-7    

4 0
3 years ago
Read 2 more answers
7TH GRADE MATH! PLEASE HELP BRAINLIEST ANSWER!
Harlamova29_29 [7]
<span>If y varies directly with x, the formula of the equation is y=ax, where a is a constant.
y=ax
(21)=a(7)
a=3
y=ax
y=(3)(-1.66)
y=-4.98, x=-1.66

If y varies inversely with x, the formula of the equation is y=a/x, where a is a constant
y=a/x
9=a/2.5
a=22.5
y=22.5/x
y=22.5/-0.6
y=-37.5

I hope this helped! =)
I hope you didn't mind but I got this from a website called: answers.yahoo.com but I got your answer.
</span>
3 0
3 years ago
Read 2 more answers
Please help me at 7,11,13
MAXImum [283]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Assuming the population is normally distributed, find the probability P(x&gt;4.5) given the mean is 6 and the standard deviation
Kisachek [45]

Answer:

P(x > 4.5)= 0.983943

Step-by-step explanation:

Given

\mu = 6

\sigma = 0.7

Required

P(x > 4.5)

Start by calculating the z score

z = \frac{x - \mu}{\sigma}

So:

z = \frac{4.5 - 6}{0.7}

z = \frac{-1.5}{0.7}

z = -2.143

So, we have:

P(x > 4.5)= 1 - P(x < 4.5)

This gives:

P(x > 4.5)= 1 - P(x < z)

P(x > 4.5)= 1 - P(x < -2.143)

Using the z score probability table, we have:

P(x > 4.5)= 1 - 0.016057

P(x > 4.5)= 0.983943

6 0
3 years ago
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