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Debora [2.8K]
3 years ago
8

what is the perimeter of a rctangle with an area of 48 square inches?a) 38 inchesb) 24 inchesc) 48 inchesd) 30 inches

Mathematics
1 answer:
pav-90 [236]3 years ago
7 0
The answer is 48 inches
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Rewrite in simplest form. 5x3 + 5x2 - 3x - 3x2
vovangra [49]

Answer:

(25)-(3)

Step-by-step explanation:

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3 years ago
Add and subtract rational numbers without common denominators. Show work! 1. 7/4 - 3/2 - 2/5 = 2. - 5/16 + 3/4 + 1/8 = 3. 3/4 -
alukav5142 [94]
\dfrac{7}{4}  -  \dfrac{3}{2} -  \dfrac{2}{5}

= \dfrac{7 \times 5}{4 \times 5}  -  \dfrac{3 \times 10}{2 \times 10} -  \dfrac{2 \times 4}{5 \times 4}

= \dfrac{35}{20}  -  \dfrac{30}{20} -  \dfrac{8}{20}

= \dfrac{35-30-8}{20}

= \dfrac{3}{20}

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

-\dfrac{5}{16}  + \dfrac{3}{4} + \dfrac{1}{8}

= -\dfrac{5}{16}  + \dfrac{3 \times 4}{4 \times 4} + \dfrac{1 \times 2}{8 \times 2}

= -\dfrac{5}{16}  + \dfrac{12}{16} + \dfrac{2}{16}

= \dfrac{-5+ 12 + 2}{16}

= \dfrac{9}{16}

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

\dfrac{3}{4} -  \dfrac{1}{3} - \dfrac{7}{12}

= \dfrac{3 \times 3}{4 \times 3} -  \dfrac{1 \times 4}{3 \times 4} - \dfrac{7}{12}

= \dfrac{9}{12} -  \dfrac{4}{12} - \dfrac{7}{12}

= \dfrac{9 - 4 - 7}{12}

= -\dfrac{2}{12}

= -\dfrac{1}{6}

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

\dfrac{2}{9}  -  \dfrac{2}{12} -  \dfrac{2}{3}

= \dfrac{2}{9}  -  \dfrac{1}{6} -  \dfrac{2}{3}

= \dfrac{2 \times 2}{9 \times 2}  -  \dfrac{1 \times 3}{6 \times 3} -  \dfrac{2 \times 6}{3 \times 6}

= \dfrac{4}{18}  -  \dfrac{3}{18} -  \dfrac{12}{18}

= \dfrac{4 - 3 - 12}{18}

= - \dfrac{11}{18}
6 0
3 years ago
WORK THIS CHALLENGE EXERCISE. A is known to be 6,500 feet above sea level; AB = 600 feet. The angle at A looking up at P is 20°.
adell [148]

Answer:

6955ft

T

Step-by-step explanation:

Hope that helps

6 0
3 years ago
Read 2 more answers
The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?
VARVARA [1.3K]

Answer:

\displaystyle    - 155

Step-by-step explanation:

we are given a quadratic function

\displaystyle f(x) =  - 5 {x}^{2}  + 30x - 200

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

\displaystyle x _{ \rm  min} =  \frac{ - b}{2a}

the given function is in the standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

so we acquire:

  • b=30
  • a=-5

thus substitute:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{2. - 5}

simplify multiplication:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{ - 10}

simply division:

\displaystyle x _{ \rm  min} =  3

plug in the value of minimum x to the given function:

\displaystyle f (3)=  - 5 {(3)}^{2}  + 30.3 - 200

simplify square:

\displaystyle f (3)=  - 5 {(9)}^{}  + 30.3 - 200

simplify multiplication:

\displaystyle f (3)=  - 45  + 90- 200

simplify:

\displaystyle f (3)=   - 155

hence,

the minimum value of the function is -155

5 0
3 years ago
A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4ft to 1in. What is the
AnnyKZ [126]

Answer:

170 ft²

Step-by-step explanation:

Given:

Patio drawing of 4.25 in by 2.5 in

Scale of Patio to its drawing = 4ft to 1 in

Requires:

Area of actual Patio

SOLUTION:

Area of actual Patio = area of a rectangle = length × width

Given a scale drawing of 4ft to 1 in, therefore:

Length of actual Patio = 4.25 × 4 = 17 ft

Width of actual Patio = 2.5 × 4 = 10 ft

Therefore:

Area of actual Patio = 17 ft × 10 ft = 170 ft²

5 0
3 years ago
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