What is 25.48271 increased by 45 thousandths?

The measure of the second angle is 15 degrees more than the measure of the first angle the measure of the third angle is 45 degr

Dominik [7]

Answer:

The measures of the three interior angles of the triangle are {40,55,85}.

Step-by-step explanation:

Let a = the measure of the first angle of the triangle.

Let b = the measure of the second angle of the triangle.

Let c = the measure of the third angle of the triangle.

The problem statement tells us that

(1) a = a

(2) b = a + 15 and

(3) c = a + 45

Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get

(4) a + b + c = 180 or by substitution we get

(5) a + (a + 15) + (a + 45) = 180 or

(6) a + a + 15 + a + 45 = 180 or

(7) 3*a + 60 = 180 or

(8) 3*a = 180 - 60 or

(9) 3*a = 120

Now divide both sides of (9) by 3 to get

(10) 3*a/3 = 120/3 or

(11) a = 40

Using (2) and (3) we get

(12) b = 40 + 15 or

(13) b = 55 and

(14) c = 40 + 45 or

(15) c = 55

Always check the answer. Use (4)

Is (40 + 55 + 85 = 180)?

Is (95 + 85 = 180)?

Is (180 = 180)? Yes

6 0

3 years ago

you are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.

ira [324]

It is given in the question that

You are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.

Let the price of scanner be $ x .

So we have

$x+ 80\leq 150$

Subtracting 80 from both sides

$x\leq 70$

It means , the price should be not more then $70 .

Therefore in case, the price of scanner is $75, then you will not remain within your budget .

6 0

3 years ago

Rearrange w= 3(2a + b) - 4 to make a the subject

Angelina_Jolie [31]

Answer:

$\boxed{a = \frac{w}{ 6} - \frac{b}{2} + \frac{2}{3} }$

Step-by-step explanation:

$Solve \: for \: a: \\ = > w=3(2a+b)-4 \\ \\ w=3(2a+b)4 \: is \: equivalent \: to \: 3(2a+b)-4= w: \\ = > 3(2a+b) - 4=w \\ \\ Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ = > (3 \times 2a) + (3 \times b) - 4 = w \\ = > 6a+3b - 4=w \\ \\ Subtract \: 3b - 4 \: from \: both \: sides: \\ = > 6a + 3b - 4 - (3b - 4)=w - (3b - 4) \\ = > 6a = w - 3b + 4 \\ \\ Divide \: both \: sides \: by \: 6: \\ = > \frac{ \cancel{6}a}{ \cancel{6}} = \frac{w - 3b + 4}{6} \\ = > a = \frac{w}{6} - \frac{3b}{6} + \frac{4}{6} \\ = > a = \frac{w}{ 6} - \frac{b}{2} + \frac{2}{3}$

8 0

4 years ago

The heights of the children at a summer camp are normally distributed with a mean of 58 in. and a standard deviation of 4 in.

stepan [7]

First, we must find the z-scores for each limit
for 54
z = (54 - 58) / 4 = -1
For this z-score, the area under the curve is 0.1587

for 62
z = (62 - 58) / 4 = 1
The area under the curve is 0.8413

Subtracting the two z-scores:
0.8413 - 0.1587 = 0.6825

Multiplying by 150
150 (0.6825) = 102.39

So, the closest answer is
102

4 0

4 years ago

X+y-2z=-9<br> 2x-y+8z=99<br> x-2y+5z=23<br> give the solution with z arbitrary

AveGali [126]

Answer:

(x, y, z) = (-4, 29, 17)

Step-by-step explanation:

These three equations have a unique solution. If you want "z arbitrary", you need to write a system of two equations with three variables (or, equivalently, a set of dependent equations).

It is convenient to let a graphing calculator, scientific calculator, or web site solve these.

_____

You can reduce the system to two equations in y and z by ...

subtracting the last equation from the first:

3y -7z = -32

subtracting twice the last equation from the second:

3y -2z = 53

Subtracting the first of these from the second, you get ...

5z = 85

z = 17

The remaining variable values fall out:

y = (53+2z)/3 = 87/3 = 29

x = -9 +2z -y = -9 +2(17) -29 = -4

These equations have the solution (x, y, z) = (-4, 29, 17).

3 0

4 years ago