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ki77a [65]
3 years ago
12

How to simplify 3 1/4 times 2 1/2 - 1 1/3. Pls show your how you solved it pls, thx

Mathematics
1 answer:
Virty [35]3 years ago
7 0

3 \frac{1}{4}  \times 2 \frac{1}{2}  - 1 \frac{1}{3}

\frac{13}{4}  \times ( \frac{5}{2}  -  \frac{4}{3} )

\frac{13}{4}  \times ( \frac{15}{6}  -  \frac{8}{6} )

\frac{13}{4}  \times  \frac{7}{6}

\frac{91}{24}

3 \frac{19}{24}

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Given: PSTK is a trapezoid, m∠P=90° SK =13, PK = 12, ST=8 Find: The area of PSTK.
guajiro [1.7K]
<h3>Given</h3>

trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8

<h3>Find</h3>

the area of PSTK

<h3>Solution</h3>

It helps to draw a diagram.

∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as

... KS² = PS² + KP²

... 13² = PS² + 12²

... PS = √(169 -144) = 5

This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is

... A = (1/2)(b1 +b2)h

... A = (1/2)(12 +8)·5

... A = 50

The area of trapezoid PSTK is 50 square units.

5 0
3 years ago
Target has a 42" HDTV that sells for $1,250 and is on sale for 15% off. After a sales tax of 6.5%, what is the final cost for th
Naddika [18.5K]

Answer:

$ 1,131.56

Step-by-step explanation:

1,250x85%=1,062.50

1,062.50x6.5=69.06

1062.50+69.06=1,131.56

7 0
3 years ago
Pls helppppp 25 pt and brainiest for whoever answers it right.
defon
<h3><u>Given</u><u>:</u><u>-</u></h3>

  • Perimeter of parallelogram = 66 ft

  • One side,a = 3x + 1

  • Other side,b = 2x - 3

<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>

Find the longest side of a parallelogram.

<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>

Perimeter of parallelogram = 2 ( a + b )

<h3><u>Solution:-</u><u> </u></h3>

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

Now,

One side,a = 3x + 1

★ Putting the value of x

⇒ 3 × 7 + 1

⇒ 21 + 1

⇒ 22 ft

Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

7 0
4 years ago
You deposit $1500 in an account that pays 6% interest compounded yearly. Find the balance after 5 years.
Inga [223]

Answer:

1950

Step-by-step explanation:

p: 1500

r: 0.06

n: 1

t: 5

1500(1+ 0.06/1)^5

1500(1.06)^5

1500×1.3

1950

3 0
4 years ago
Evaluate the expression P (9,1)=_____
kvasek [131]
P(9,1)=\dfrac{9!}{8!}=9
3 0
3 years ago
Read 2 more answers
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