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3 years ago

gaby buys a new bookshelf. there are 8 shelves she put 15 books on each shelf, how many books does gaby have in all ?

Mathematics

2 answers:

Lynna [10]3 years ago

8 0

The answer is she has 120 books

Galina-37 [17]3 years ago

4 0

There are 120 books, 15 multiplied by 8, each 1 of 8 book shelves has 15 books.

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Reflection: Mirrors.

Rotation: Rotating a car wheel.

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A 12-meter ladder leans against a building forming a 30° angle with the building.

KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

Option 1:

The ladder, ground and wall form a right triangle.

The hypotenuse (ladder) is 14 feet.

The bottom of the ladder is 6 feet from the wall,

so the base of this right triangle is 6 feet.

The top of the ladder to the ground represents

the missing leg of the right triangle.

The pythagorean theorem applies, which says

6^2 + h^2 = 14^2 where h is the height

of the top of the ladder to the ground

36 + h^2 = 196

h^2 = 196 - 36

h^2 = 160

h = sqrt(160)

= sqrt(16 * 10)

= sqrt(16)* sqrt(10)

= 4*sqrt(10) <--- exact answer

= 4 * 3.16227766016838....

= 12.64911....

12.65 <--- rounded to 2 digits as directed

----------------------------------------------

Option #2: using trig

With respect to the angle formed by the bottom of the

ladder with the ground

cos T = 6/14 = 3/7

T = inverse-cosine(3/7) = 64.623006647 degrees

sin(64.623006647) = h/14

h = 14*sin(64.62300647) = 12.6491106 <--- same answer

hope this helps

Step-by-step explanation:

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2 years ago

Ariana plans to use $260 less than three-fourths of savings to buy a car. If the purchase price of the car is 9,340, how much do

tangare [24]

She has $12,488 in savings

Step-by-step explanation:

Ariana plans to use $260 less than three-fourths of savings to buy a car.

If the purchase price of the car is 9,340, we need to find how much

she has in savings

To find the savings

Assume that she has $x in savings
Write an equation of x
Solve the equation to find x

∵ She has $x in savings

∵ She plans to use $260 less than three-fourths of savings

- Three-fourths means $\frac{3}{4}$ and less than means subtract

∴ She plans to use $\frac{3}{4}$ x - 26

∵ The purchase price of the car is 9,340

- Equate the expression of x by 9,340

∴ $\frac{3}{4}$ x - 26 = 9,340

Now let us solve the equation

∵ $\frac{3}{4}$ x - 26 = 9,340

- Add 26 to both sides

∴ $\frac{3}{4}$ x = 9,366

- Divide both sides by $\frac{3}{4}$

∴ x = $12,488

She has $12,488 in savings

Learn more:

You can learn more about word problems in brainly.com/question/3950386

#LearnwithBrainly

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