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cluponka [151]
3 years ago
11

How do I solve this out??

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0
<h3>Answer:</h3>

(x, y) = (7, -5)

<h3>Step-by-step explanation:</h3>

It generally works well to follow directions.

The matrix of coefficients is ...

\left[\begin{array}{cc}2&4\\-5&3\end{array}\right]

Its inverse is the transpose of the cofactor matrix, divided by the determinant. That is ...

\dfrac{1}{26}\left[\begin{array}{ccc}3&-4\\5&2\end{array}\right]

So the solution is the product of this and the vector of constants [-6, -50]. That product is ...

... x = (3·(-6) +(-4)(-50))/26 = 7

... y = (5·(-6) +2·(-50))/26 = -5

The solution using inverse matrices is ...

... (x, y) = (7, -5)

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Directions: Find the Surface Area
kenny6666 [7]

Answer:

Surface area = 92 ft²

Step-by-step explanation:

Formula to find the surface area of a rectangular prism is,

Surface area = 2(lb + bh + hl)

Here, l = length of the prism

b = width of the prism

h = height of the prism

By substituting the measures of the sides given in the picture,

Surface area = 2(2×3 + 3×8 + 8×2)

                      = 2(6 + 24 + 16)

                      = 2(46)

                      = 92 square feet

Therefore, surface area of the given rectangular prism is 92 ft².

4 0
3 years ago
Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures the angle from 35 feet away
serg [7]

Answer:

71.32 feet

Step-by-step explanation:

We set up a trigonometric function to get height of tree

Distance ,x = 35 feet away from tree base

Angle = 62⁰ at eye level

Y = tan(angle) * x

= Y = tan(62⁰) x 35

Y = 1.881 x 35

Y = 65.82 feet

We add Tamara's height to the total height of the tree

= 65.82feet + 5.5 feet

= 71.32 feet is the height of the tree

3 0
3 years ago
1. A wooden box is to be built so that it measures 156 cm by 122 cm by 95 cm.
NeX [460]

The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².

<h3>How to find the surface area of a rectangular prism</h3>

The wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.

Therefore,

surface area of rectangular prism = 2(lw + lh + hw)

where

  • l = length
  • w = width
  • h = height

l = 156 cm

w = 122 cm

h = 95 cm

surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))

surface area of rectangular prism = 2(19032 + 14820 + 11590)

surface area of rectangular prism = 2(45442)

surface area of rectangular prism = 90884 cm²

learn more on surface area here:brainly.com/question/27161212

7 0
2 years ago
Emily is a very good student. She is more likely to attend class than to miss class. Which could be t.he probability that she mi
evablogger [386]
The correct answer is 0.1. C and D can automatically be eliminated because Emily is a good student who is likely to attend school. This leaves A and C, but A can be eliminated because there is still a possibility Emily will miss class.
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3 years ago
There are 1000 g in a kilogram. How would you convert 600 kg into grams?
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600x1000 is how you would convert it
8 0
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