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Tcecarenko [31]
3 years ago
6

The width of a rectangle is 4 inches less than the length. The perimeter is 60 inches. Find the length and the

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Answer:

Length=17

width=13

Step-by-step explanation:

W=width

L=length

Perimeter = 2w+2l since it's a rectangle

W=l-4 (given)

Plug into perimeter equation

Perimeter =(2l-8)+2l

=4l-8

60=4l-8

68=4l

17 =l

W=l-4=17-4=13

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Select the correct answer from each drop-down menu. Complete the statement. The solutions of sin2x= √3/2
alex41 [277]

Answer:

henc X = 30°

Step-by-step explanation:

here is the proof

when X=30° then

sin2x = sin2×30

=sin 60°

= √3/2

or else,

putting value of X = 30° then

sin2x= 2sinxcosx

= 2×sin30°×cos30°

=2×1/2×√3/2

= 2√3/4

= √3/2

hence proved sin2x= √3/2.

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3 years ago
Evaluate. Write your answers as fractions. <br>2^2/-5 =<br> -(5/4)^3=​
Natalija [7]
2^2/-5=-4/5
-(5/4)^3=-125/64
Hope this helps!!
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1 year ago
Can x-2 ever be less than 0? Why or why not?
nekit [7.7K]
Of course it can.  It always is if 'x' is less than 2.
5 0
3 years ago
Read 2 more answers
un solar tiene forma de 3/4 de círculo unido con un triángulo rectángulo , En este solar va a ser utilizado para sembrar clavele
Stolb23 [73]

Answer:

$1092671.191

Step-by-step explanation:

<u>Cálculo de Areas</u>

El área de un círculo de radio r se obtiene con la fórmula:

A_c=\pi r^2

El área de un triángulo de base b y altura h, perpendicular a la base es:

A_t=\frac{bh}{2}

Si el triángulo es rectángulo, b y h son los catetos

El solar tiene una forma tal como se ilustra en la figura anexa. Para averiguar el costo del abono y del techo, debe calcularse primero el área total a cultivar. Primero se determina el área de 3/4 de círculo de radio 5.9 metros

A_c=\frac{3}{4}\pi r^2

A_c=\frac{3}{4}\pi (5.9)^2

A_c=82.0191302\ m^2

Por su parte, el triángulo mostrado, tiene ambos catetos iguales al radio de círculo, por lo que su área será

A_t=\frac{r^2}{2}

A_t=\frac{(5.9)^2}{2}

A_t=17.405\ m^2

El área total del solar es la suma de ambas:

A_s=82.0191302\ m^2+17.405\ m^2

A_s=99.4241302\ m^2

El metro cuadrado de abono cuesta $8016. El costo de abono es

C_a=99.4241302\ m^2*8016=\$796983.8277

El metro cuadrado de techo cuesta $2974. El costo del techo es

C_t=99.4241302\ m^2*2974=\$295687.3632

El costo total es la suma de los dos anteriores:

Total=\$796983.8277+\$295687.3632

Total=\$1092671.191

El valor total a intervenir para la adecuación del solar es $1092671.191

7 0
3 years ago
Two hikers come to a ravine and want to know how wide it is. They set up two similar triangles as shown in the diagram. How far
dolphi86 [110]

Answer:

d = 80 ft

Step-by-step explanation:

Start with angle BCA, tan(BCA) = 30/15 so BCA = 63.43 degrees.

BCA = ECD since they are opposite angles.

tan ECD = d/40

40 tan(63.4degrees) = d

d = 80 ft

Alternatively, you can use similar triangles since the angles are the same, BCA = ECD, CED = CAB, and CBA = EDC. In that case use proportions to get 30/15 = d/40 so 2 = d/40 and d = 80.

5 0
3 years ago
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