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Ray Of Light [21]
3 years ago
10

42. Calculate the value of c in the triangle below.

Mathematics
1 answer:
Verdich [7]3 years ago
5 0
A^2+b^2=c^2
9^2+40^2=c^2
81+1600=1681
Square it and u get 41
so c is 41
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If two boxes of cereal and a jug of milk cost $8.50, and three boxes of cereal and two jugs of milk cost $14.00, how much does a
Citrus2011 [14]

Answer:

$3

Step-by-step explanation:

Let c represent the cost of a box of cereal and let m represent the cost of a jug of milk.

Create a system of equations:

2c + m = 8.5

3c + 2m = 14

Solve by elimination by multiplying the top equation by -2:

-4c - 2m = -17

3c + 2m = 14

Add them together and solve for c:

-c = -3

c = 3

So, a box of cereal costs $3

3 0
2 years ago
60% of what number is 75
kramer
60\% \ of \ x =75 \\\\ \frac{60}{100}*x=75\\\\ \frac{6}{10}=\frac{75}{x} \\\\ \frac{3}{5}*\frac{75}{x} \\\\ x=\frac{5*75}{3} \\\\ x=5*25 \\\\ \boxed{x=125}
8 0
3 years ago
Please help me with this.
OLga [1]

Swapping rows alters the sign of the determinant:

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}

Multiplying a single row by a scalar scales the determinant by the same amount:

\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}

Then

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}

8 0
1 year ago
James has $325 in his savings account. He spends $28 a week. How many, w, weeks until he has $157 left in his account?​
otez555 [7]

Answer:

6 weeks

Step-by-step explanation:

Total savings= $325

For every week, his total savings decrease by $28.

Let's form an expression for the amount of money left in his account after w weeks.

325 -28w= 157

28w= 325 -157

28w= 168

<em>Divide by 28 on both sides:</em>

w= 168 ÷28

w= 6

Thus, there are 6 weeks until he has $157.

3 0
2 years ago
In a group of 343 children, 104 have a swing set, 126 have a trampoline and 42 have a swing set and trampoline. How many have a
Tresset [83]

Answer:

None of the above

4 0
2 years ago
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