What is the product?

a kid sits on top of a 12 foot slide, looking down with an angle of depression of 25 degrees. find the height of the slide

Nikolay [14]

Answer:

Height of slide = 5 feet (Approx.)

Step-by-step explanation:

Given:

Length of slide = 12 feet

Angle of depression = 25°

Find:

Height of slide

Computation:

Length of slide = Hypotenuse

Height of slide = Perpendicular

Using trigonometry function;

Sin θ = Perpendicular / Hypotenuse

Sin 25 = Height of slide / 12

0.422 = Height of slide / 12

Height of slide = 12 x 0.422

Height of slide = 5.064

Height of slide = 5 feet (Approx.)

5 0

3 years ago

PLEASE HELP

Tems11 [23]

QUESTION A

The given multiplication problem is

$\frac{39}{64} \times \frac{8}{13}$

Factor each term to obtain;

$\frac{13\times 3}{8\times8} \times \frac{8}{13}$

Cancel out the common factors to obtain;

$\frac{1\times 3}{8\times1} \times \frac{1}{1}$

Simplify to get;

$\frac{3}{8}$

QUESTION B

The given multiplication problem is

$\frac{2}{3}\times \frac{1}{5}\times \frac{4}{7}$

This the same as

$\frac{2\times 1\times 4}{3\times 5\times 7}$

This simplifies to;

$\frac{8}{105}$

QUESTION C

The given problem is

$\frac{3}{5}\times \frac{10}{12} \times \frac{1}{2}$

This is the same as

$\frac{3}{5}\times \frac{5}{6} \times \frac{1}{2}$

$=\frac{1}{1}\times \frac{1}{2} \times \frac{1}{2}$

This simplifies to

$=\frac{1}{4}$

QUESTION D.

The given expression is

$\frac{4}{9}\times 54$

Factor the 54 to obtain;

$\frac{4}{9}\times 9\times 6$

Cancel the common factors to get;

$\frac{4}{1}\times 1\times 6$

This simplifies to;

$=24$

QUESTION E

The given problem is

$20\times 3\frac{1}{5}$

Convert the mixed numbers to improper fraction to obtain;

$=20\times \frac{16}{5}$

$=4\times5 \times \frac{16}{5}$

Cancel the common factors to get;

$=4\times1 \times \frac{16}{1}$

$=64$

QUESTION F

The multiplication problem is

$11 \times 2 \frac{7}{11}$

Convert the mixed numbers to improper fractions to obtain;

$11 \times \frac{29}{11}$

Cancel out the common factors to get;

$=1 \times \frac{29}{1}$

Simplify;

$=29$

QUESTION G

The given problem is

$5\frac{1}{3}\times 5\frac{1}{8}$

Convert to improper fractions;

$=\frac{16}{3}\times \frac{41}{8}$

Cancel out the common factors to get;

$=\frac{2}{3}\times \frac{41}{1}$

$=\frac{82}{3}$

Convert back to mixed numbers

$=27\frac{1}{3}$

QUESTION H

The given expression is

$10\frac{2}{3} \times 1\frac{3}{8}$

Convert to improper fraction to get;

$\frac{32}{3} \times \frac{11}{8}$

Cancel common factors to get;

$=\frac{4}{3} \times \frac{11}{1}$

Simplify

$=\frac{44}{3}$

Convert back to mixed numbers;

$=14\frac{2}{3}$

7 0

3 years ago

How to know a triangle is congruent

yan [13]

The answer is SAS (side, angle, side) SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, thetriangles are congruent.

3 0

3 years ago

Read 2 more answers

Helppppp pleaseeeee willlll appreciateddddd

kotegsom [21]

Most likely number 3
we can guess the average of the two since we don't have the time to actually add all of them and divide and number 3 describes it the most

3 0

3 years ago

Urgent please please help It's due soon!

amm1812

9514 1404 393

Answer:

money market: $1000
stock: $238,500
mutual fund: $228,500

Step-by-step explanation:

We can let x and y represent the amounts invested in the stock and mutual fund, respectively. Then the amount invested in the money market account was (468000 -x -y). Two relations can be written.

x = y + 10000 . . . . . 10,000 more was invested in stock than in mutual funds

0.035(468000-x-y) +0.04(x) -0.03(y) = 2720 . . . . first-year return

Collecting terms in the second equation gives ...

0.005x -0.065y +16380 = 2720

-x + 13y = 2732000 . . . . . . subtract 16380, multiply by -200

12y -10000 = 2732000 . . . . substitute for x using the first equation

y = 2742000/12 = 228,500 . . . . solve for y

x = 228,500 +10,000 = 238,500 . . . . . find x from the first equation

468,000 -x -y = 468,000 -467,000 = 1,000 . . . . find the money market amount

__

Pierre invested $1000 in the money market account, $238,500 in the stock, and $228,500 in the mutual fund.

6 0

3 years ago