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3 years ago

Find the length of the missing side. If necessary, round to the nearest tenth.

Mathematics

1 answer:

svetlana [45]3 years ago

3 0

The pythagorean theorem states that the sum of the squares of two legs of a right triangle is equivalent to the hypotenuse.

So:

35^2 + b^2 = 40^2

1225 + b^2 = 1600

b^2 = 375

b = $\sqrt{375}$

b = 19.3649

<u>The missing side's length rounded to the nearest tenth is Option C, 19.4</u>

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Drag the operations into the order in which they should be performed to evaluate the expression below. 7 × 6 ÷ ( 13 − 10 ) + 4 a

monitta

Answer:It's 18

Step-by-step explanation:Multiply 7 and 6 to get 42

Subtract 10 from 13 to get 3

Divide 42 by 3 to get 14

Add 14 and 4 to get 18

5 0

2 years ago

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Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo q

kogti [31]

Answer:

La longitud = 7 metros

La anchor = 10.5 metros

Step-by-step explanation:

La fórmula para el perímetro de un rectángulo es

P = 2L + 2W

L = longitud

A = ancho

P = 35 metros

se sabe que el doble de su ancho es igual a 3 veces su largo.

2A = 3L

Ancho = 3L / 2 = 1.5L

Sustituimos 1.5L por W

35 = 2 L + 2 (1.5 L)

35 = 2L + 3L

35 = 5 litros

L = 35/5

L = 7 metros

Por lo tanto, la longitud = 7 metros

Recuerda

A = 1.5 L

A = 1.5 × 7

A = 10.5 metros

La anchor = 10.5 metros

8 0

3 years ago

Find g(x)-f(x) if f(x)=-3+4 and g(x)=5x-12

Verizon [17]

Answer: g(x)-f(x)=8x-16

Explanation:

f(x)=-3x+4 (I am assuming "-3+4" is a typo and it is "-3x+4")

g(x)=5x-12

g(x)-f(x)=(5x-12)-(-3x+4)=5x+3x-12-4=8x-16

6 0

3 years ago

Rewrite (2x^2+13x+26) / x+4 in the form q(x)+r(x)/b(x) . Then find q(x) and r(x). In the rewritten expression, q(x) is_____and r

likoan [24]

The value of q(x) is $2 x+5$

The value of r(x) is $6$

Explanation:

The given expression is $\frac{2 x^{2}+13 x+26}{x+4}$

We need to rewrite the expression in the form of $q(x)+\frac{r(x)}{b(x)}$

Simplifying the expression, we get,

$\frac{2 x^{2}+8 x+5x+26}{x+4}$

Separating the fractions, we have,

$\frac{2 x^{2}+8 x}{x+4}+\frac{5 x+26}{x+4}$

$2 x+\frac{5 x+26}{x+4}$ -----------(1)

Now, we shall further simplify the term $\frac{5 x+26}{x+4}$ , we get,

$\frac{5 x+26}{x+4}=\frac{5 x+20}{x+4}+\frac{6}{x+4}$

Common out 5 from the numerator, we have,

$\frac{5 x+26}{x+4}=5+\frac{6}{x+4}$

Substituting the value $\frac{5 x+26}{x+4}=5+\frac{6}{x+4}$ in the equation(1), we get,

$2 x+5+\frac{6}{x+1}$

Thus, the expression $\frac{2 x^{2}+13 x+26}{x+4}=2 x+5+\frac{6}{x+1}$ is in the form of $q(x)+\frac{r(x)}{b(x)}$

Hence, we have,

$q(x)=2 x+5$

$r(x)=6$ and

$b(x)=x+4$

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3 years ago

A retailer marks up their furniture 33% over wholesale prices. If a dresser costs $975 wholesale, what does the retailer charge?

melamori03 [73]

Answer:

$1296.75

Step-by-step explanation:

7 0

2 years ago

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