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3 years ago

2x-y-3z=7, 3x+y+=10, 5x+y+2z=15

Mathematics

1 answer:

ivann1987 [24]3 years ago

4 0

Answer:

x=22/7 y=4/7 z=-3/7

Step-by-step explanation:

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A building is 3 ft from an 8-ft fence that surrounds the property. A worker wants to wash a window in the building 13 ft from t

zloy xaker [14]

Answer:

Length of the ladder used by worker = 17 feet

Step-by-step explanation:

Given:

Height of the window from the ground = 13 ft

Distance of fence from the building = 3 ft

Distance of ladder from the building = (3+8) = 11 ft

We have to find the length of the ladder.

Let the length of the ladder be 'x'

From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.

Using Pythagoras formula:

⇒ $hypotenuse\ 'x' =\sqrt{(perpendicular)^2+(base)^2}$

Here base length = 11 ft

Perpendicular = 13 ft

Plugging the values:

⇒ $x=\sqrt{(13)^2+(11)^2}$

⇒ $x=\sqrt{(169+121)}$

⇒ $x= \sqrt{290}$

⇒ $x=17.02$ feet

The length of the ladder = 17 feet to its nearest tenth.

6 0

3 years ago

Help The area of a square

DIA [1.3K]

Answer:

$2551\dfrac{1}{2}$

Step-by-step explanation:

$\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in$

$\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in$

Volume of rectangular prism = l*w*h

$= \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches$

3 0

2 years ago

Read 2 more answers

ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R

shutvik [7]

Answer:

$A'= (2,-1)$ and $R'=(4,-2)$ under this translation.

Step-by-step explanation:

A translation in $R^{2}$ is a mapping T from $R^{2}$ to $R^{2}$ defined by $T(x,y) = (x + v_1,y+v_2)$ , where $v=(v_1,v_2)$ is a fixed vector in $R^{2}$ .

From the problem we know that $T(2,4)=(3,2)$ , so we need to find the values $v_1$ and $v_2$ such that $T(2,4) = (2 + v_1,4+v_2)=(3,2)$ , so $3=2 + v_1$ and $4+v_2=2$ , thus $v_1=1$ and $v_2=2$ .