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3 years ago

Angharad is buying a new 40-inch screen TV (remember that TV screens are measured along the diagonal )

Mathematics

1 answer:

nirvana33 [79]3 years ago

6 0

Answer:

a) 34.64 inches

b) The TV will not fit inside the TV cabinet

Step-by-step explanation:

Angharad is buying a new 40-inch screen TV (remember that TV screens are measured along the diagonal )

a)If it is 20 inches tall, how wide is the screen ?

We solve using the formula:

Diagonal ² = Width² + Height²

Diagonal = 40 inches

Height = 20 inches

40² = Width² + 20²

Width² = 40² - 20²

Width = √40² - 20²

Width = √(1200)

Width = 34.641016151 inches

Approximately = 34.64 inches

b)Her TV cabinet is 30 inches wide .will the TV fit inside it ?

From the above calculation, the width of the TV = 34.64 inches

Hence the width of the cabinet has to be equal to or more than 34.64 inches

Hence, The TV will not fit inside the TV cabinet

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Ivan bought a $1000 bond with a 4.5% coupon that matures in 30 years. What

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Learn more about bonds here : brainly.com/question/1392006

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2 years ago

In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality. -3m+1

Marat540 [252]

First find the value of m by solving the inequality.

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Now, for drawing the graph, a dotted line will be on -4, as values greater than -4 are included in the graph. and all the portion on right side of -4 is included in the graph.

Step-by-step explanation:

We need to draw the graph of the solution set for the following inequality. $-3m+18 < 30$

First we will solve the inequality and find value of m

$-3m+18 < 30$

Adding -18 on both sides

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Dividing both sides by -3 and reversing the inequality i.e < is changed into >

$\frac{-3m}{-3}-4$

So, value of m is: m>-4

So. for drawing the graph, a dotted line will be on -4, as values greater than -4 are included in the graph. and all the portion on right side of -4 is included in the graph.

The graph is shown in figure attached.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

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