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1 year ago

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A geometry teacher asked Saul to define “obtuse triangle.” Saul said that an obtuse triangle is a triangle with one interior ang

le measure greater than 90° and two interior angle measures less than 90°. Is Saul's definition valid?

1 answer:

olga_2 [115]1 year ago

7 0

It is valid.
The three angles must add up to 180. So, if one is more than 90, the other two have to be less than 90.

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Jamal works as an electrician's apprentice. He rewired 4 electrical outlets in 1 and one-halfhours. If he works at the same pace

iragen [17]

Answer:

We conclude that Jamal will rewired 20 electrical outlets for 7.5 hours.

Step-by-step explanation:

We know that Jamal rewired 4 electrical outlets in 1 and one-half hours. We calculate how many electrical outlets will he rewired for 7.5 hours.

We have the following proportion:

$4:1.5=x:7.5\\\\1.5x=4\cdot 7.5\\\\1.5x=30\\\\x=\frac{30}{1.5}\\\\x=20$

We conclude that Jamal will rewired 20 electrical outlets for 7.5 hours.

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2 years ago

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Solve (Y+5)^3/2=4 where y is a real number

koban [17]

Answer:

$y {}^{2} + 10y = - 33.5$

Step-by-step explanation:

(y+5)(y+5)x3/2=4

Y(y+5)+5(y+5) x 3/2=4

$y {}^{2} + 5y + 5y + 25 \times 3 \2 = 4$

$y ^{2} + 10y + 75 \2 = 4$

$y {}^{2} + 10y + 37.5 = 4$

$y {}^{2} + 10y = 4 - 37.5$

$y {}^{2} + 10y = - 33.5$

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1 year ago

Let T W Rn ! Rm be a linear transformation. Show that if T maps two linearly independent vectors onto a linearly dependent set,

Mandarinka [93]

Answer:

The solution proves that the equation has a non-trivial solution.

Step-by-step explanation:

We want to show that the equation has nontrivial solutions for which $c_{1} T(v_{1} ) + c_{2} T(v_{2} ) + c_{3} T(v_{3}) = 0$

Let $c_{i}$ be a set of non-zero numbers such that that $c_{1} v_{1} + c_{2} v_{2} + c_{3} v_{3} = 0$

Because T is a linear solution:

$c_{1}T(v_{1} ) + c_{2} T (v_{2} ) + c_{3} T (v_{3} ) = T (c_{1} v_{1} ) + T(c_{2}v_{2} ) + T(c_{3} v_{3} )$

= $T(c_{1}v_{1} + c_{2} v_{2} + c_{3} v_{3} )$

= $T(0)$

= $T (00)$

= $0T(0)$

= 0

This shows that $T( v_{1} )$ are linearly independent with the mapping resulting in a non-trivial solution.

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2 years ago

A full bag of dog food weighs 5 1 2 pounds. How much dog food do you have if there are 3 3 4 bags in the cupboard

Ulleksa [173]

You would have 171,008 lbs. of dog food. Because 512 pounds times 334 bags equals 171,008lbs.

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