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3 years ago

Write an expression that is equivalent to 1/2a - 4

Mathematics

2 answers:

Naya [18.7K]3 years ago

8 0

Answer:

1/2( a-8)

Step-by-step explanation:

i got it right ;)

Troyanec [42]3 years ago

7 0

The answer is 1/2( a-8)

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If t a n squared θ = 3 /8 , what is the value of s e c θ

TEA [102]

We can use 3 facts:

$\tan{\theta}=\frac{y}{x}$

$\sec{\theta}=\frac{r}{x}$

$x^2+y^2=r^2$

So, to find our x and our y we can do:

$\tan^2{\theta}=\frac{3}{8} \implies \\ \tan{\theta}=\pm{\sqrt{\frac{3}{8}}=\pm\frac{\sqrt{3}}{\sqrt{8}}$ So, now that we know our x and our y we can find our r.

$(\sqrt{3})^2+(\sqrt{8})^2=11 \implies r=\sqrt{11}$

You'll notice, though, that there were two solutions for $\tan{\theta}$ , which means we have a positive and a negative for our x. So:

$\sec{\theta}=\frac{\sqrt{11}}{\sqrt{8}} \\ \sec{\theta}=-\frac{\sqrt{11}}{\sqrt{8}}}\\ \text{Rationalizing both of them:}\\ \sec{\theta}=\frac{\sqrt{88}}{8} \\ \sec{\theta}=-\frac{\sqrt{88}}{8}$

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3 years ago

Read 2 more answers

Diego hosted a spaghetti dinner for the soccer team. He made 6 boxes of spaghetti to feed the 20 people that came. Next time, 50

Tems11 [23]

6 boxes of spaghettis for 20 persons so that means 12 boxes for 40 persons since there are 50 persons we have 10 persons left since 10 is equals to 20 divided by 2, divide 6 by 2 which is equals to 3 then add 12
Answer: 15

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3 years ago

Trevor is looking at purchasing a new cellular phone plan. Company A charges $35.25 a month, plus $.11/min for local calls. Comp

AysviL [449]

Answer:

We can create a one-variable equation and solve for x.

we set 35.25+0.11x equal to 14.25+0.32x

35.25+0.11x=14.25+0.32x

then we just solve for x to get 100

Step-by-step explanation:

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3 years ago

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john wears his red cap every 5day and his black shoe every 3days. If he wears both the cap and the shoe on the 5th of October. O

umka21 [38]

Answer:

he will wear both of them together again on 8th of October

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4 years ago

Box D and Box E are made from unit cubes of the same size.

Dominik [7]

Answer:

Box E has a greater volume than Box D.

Step-by-step explanation:

Step 1 : Find the volume of Box D.

The formula for volume of a rectangular prism such as this is

height * width * depth

Knowing this, let's substitute the values.

3 * 5 * 1 = 15

The volume of box d is 15 cubic units.

Step 2 : Find the volume of Box E.

height * width * depth

4 * 4 * 1 = 16

The volume of box e is 16 cubic units. Therefore box E has a greater volume than box D.

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3 years ago