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3 years ago

Find cos(B) in the triangle. Choose 1 answer:

Mathematics

1 answer:

Leno4ka [110]3 years ago

5 0

Cosine: adjacent/hypothenuse
Adjacent = 3, hypothenuse = 5

Solution: 3/5

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What are the solutions of the equation (x−9)2=64?

maksim [4K]

Answer:

17,1

Step-by-step explanation:

I just did this question on the benchmark

6 0

3 years ago

A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.

Slav-nsk [51]

Answer:

Part 1) The exact value of the arc length is $\frac{25}{6}\pi \ in$

Part 2) The approximate value of the arc length is $13.1\ in$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=5\ in$

substitute

$C=2\pi (5)$

$C=10\pi\ in$

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

$\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in$

step 3

Find the approximate value of the arc length

To find the approximate value, assume

$\pi =3.14$

substitute

$\frac{25}{6}(3.14)=13.1\ in$

7 0

3 years ago

Three-fourths was subtracted from a number, and then 5/4 was added to the result. The sum was -7.

Rasek [7]

Hi there!

Let's start by replacing "a number" by the letter "x" so that we can do an equation and isolate "x" to find your answer :

(x - $\frac{3}{4}$ ) + $\frac{5}{4}$ = -7

subtract $\frac{5}{4}$ on each side of the equation

x - $\frac{3}{4}$ = -8.25

add $\frac{3}{4}$ on each side of the equation

x = -7.5

-7.5 - 3/4 = -8.25

-8.25 + 5/4 = <u>-7</u>

So your answer is : Three-fourths was subtracted from -7.5, and then 5/4 was added to the result. The sum was -7.

There you go! I really hope this helped, if there's anything just let me know! :)

7 0

3 years ago

6.3c-2(1.5c+4.1) simplify

svp [43]

6.3c-2(1.5c+4.1)=6.3c-3c-8.2=3.3c-8.2 :))))

7 0

3 years ago

Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says

Volgvan

Answer:

$467.77

Step-by-step explanation:

CHECK THE COMPLETE QUESTION

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

From the question, the commission of the salesperson is 5 1/2 % , we can convert to improper fraction as 11/5%, then we can convert to decimal by dividing the numerator by denominator which is 5.5% , we can convert from percentage by saying(5.5%/100)

= 0.055

A)How much commission will the salesperson earn by selling a couch for $495?

His Commission will be

(0.055 x $495 )

= $27.23

B.How much money will the store get from the sale of the couch?

Since we know this Commission as $27.23, then the amount the store get from sale will be

(difference between the commission and the selling price)

($495.00- $27.23)

= $467.77

5 0

3 years ago