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2 years ago

The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the

Mathematics

2 answers:

Brut [27]2 years ago

6 0

Answer:

A. 22.5 cm, 30 cm, and 37.5 cm

Step-by-step explanation:

If three sides of a triangle are in the ratio 3:4:5, then the lengths of the sides are 3x cm, 4x cm and 5x cm.

The preimeter of the triangle is the sum of the lengths of all sides, thus

$3x+4x+5x=90\\ \\12x=90\\ \\x=\dfrac{90}{12}=\dfrac{30}{4}=7.5\ cm$

So, the lengths of the triangle's sides are

$3x=3\cdot 7.5=22.5\ cm\\ \\4x=4\cdot 7.5=30\ cm\\ \\5x=5\cdot 7.5=37.5\ cm$

den301095 [7]2 years ago

4 0

Answer:

the sides are 22.5cm, 30cm and 37.5cm

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1/4 times the sum of a number and −3.2 is 1.8. What is the number?

joja [24]

Answer:

10.4

Step-by-step explanation:

Let the number be x

Sum of x and -3.2 : x + (-3.2) = x - 3.2

1/4 times the sum of a number and −3.2 = (1/4) * (x - 3.2)

$\dfrac{1}{4}* \left( x - 3.2 \right) = 1.8\\\\\Multiply \ the \ whole \ equation \ by \ 4 \\\\4*\dfrac{1}{4} *(x - 3.2) = 1.8*4\\\\\\x - 3.2 = 7.2\\\\Add \ 3.2 \ to \ both \ sides\\\\\\x = 7.2 + 3.2\\$

x = 10.4

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2 years ago

X^2-2x+15 in quadratic equation

Arturiano [62]

Answer:

No solution

Step-by-step explanation:

There is not a real nor an imaginary solution to this equation. You can use a radical calculator to verify.

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2 years ago

An ice cream shop offers 3 ice cream flavors 3 types of syrup and 2 toppings for sundaes

babymother [125]

Answer: 18

Step-by-step explanation:

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2 years ago

Use point slope form to write the lines with the given slope and point in slope intercept form.m= -1(-5,-4)

lara31 [8.8K]

The slope point form is

$y-y1=m(x-x1)$

m is the slope

x1, y1 are the coordinates of a point on the line

The slope of the line is -1

m = -1

point (-5, -4) lies on the line

x1 = -5 and y1 = -4

Let us substitute them in the form above

$y-(-4)=-1(x-\lbrack-5\rbrack)$

Remember (-)(-) = (+)

$y+4=-1(x+5)$

The equation of the line in the slope-point form is y + 4 = -1(x + 5)

6 0

8 months ago

A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

2 years ago