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3 years ago

Find the value of x in each case. Give reasons to justify your solutions!

Mathematics

2 answers:

motikmotik3 years ago

7 0

Answer:

x = 52

Step-by-step explanation:

Since we know that all angles of a triangle add up to 190 degrees,

Angle RQS = 180 - 90 - 34

= 56 degrees

Angle PQS = 180 - 56 (Angles on a straight line add up to 180)

= 124 degrees.

Therefore, x + 72 = 124

x = 52

mina [271]3 years ago

7 0

Answer:

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite side

: 90° + 34° = x + 72°

x = 90° + 34° - 72°

x = 52°

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#2 Find the area. 10ft

den301095 [7]

Answer:

It would be 78.539...

Step-by-step explanation:

So the equation for area is π r^2. We don't have the radius but we have the diameter. Since the radius is always 1/2 of the diameter, simply divide 10/2 to get this.

Now with the radius, it can simply be plugged into the equation for the answer:

π r^2,

π 5^2,

π 25

78.539...

7 0

2 years ago

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Find the value of x in the given right triangle. 10 х

ki77a [65]

Answer:

44.4

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

sin theta = opp / hyp

sin x = 7/10

Taking the inverse sin of each side

sin^-1 (sin x) = sin^-1(7/10)

x = 44.427

Rounding to the nearest tenth

x = 44.4

4 0

2 years ago

The bread is on sale for $1.50 so Erica is also going to buy candy or gum. Which can she afford?

Alborosie

Ok, so she started off with $5.00.

She bought milk for $2.99.

She buys bread, which costs $1.50.

Subtracting the money she wasted, the total would be $0.51.

The only thing she could buy is 5 pieces of gum for 25 cents.

Her change will be $0.26.

Hope this helps!

6 0

2 years ago

2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

3 years ago

Can anybody help me out with this?

kupik [55]

9 hours and 35 min.
11:50 - 2:15

5 0

2 years ago

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