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3 years ago

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The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. Wh

at is the smallest possible perimeter of the triangle, round to the nearest hundredth?

1 answer:

Andrews [41]3 years ago

4 0

Are you doing Pythagory and theorem

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suppose S is between R and T. Use the segment addition postulate to solve for each variable. RS= 7y-4 , ST= y+5 , RT= 28

blagie [28]

RS+ST=RT

RS=7y-4

ST=y+5 using RS and RT in the first equation gives you:

7y-4+y+5=RT combine like terms on left side

8y+1=RT, and we are told that RT=28 so:

8y+1=28 subtract 1 from both sides

8y=27 divide both sides by 8

y=27/8

(RS=19 5/8, ST=8 3/8, RT=28)

6 0

3 years ago

A bag contains green yellow and orange marbles the ratio of green marble to yellow marble is 2 : 5 the ratio of yellow arbles to

QveST [7]

Answer:

G:O = 3:10

the ratio of green marbles to orange marbles is 3:10

Step-by-step explanation:

Let G, Y and O represent green, yellow and orange marbles respectively.

Given;

the ratio of green marble to yellow marble is 2 : 5

G:Y = 2:5

G/Y = 2/5

the ratio of yellow arbles to orange marbles is 3 : 4

Y:O = 3:4

Y/O = 3/4

the ratio of green marbles to orange marbles G:O;

G/O = G/Y × Y/O

Substituting the values;

G/O = 2/5 × 3/4

G/O = 3/10

G:O = 3:10

the ratio of green marbles to orange marbles is 3:10

3 0

4 years ago

The perimeter of a rectangle is 72 cm. The length is 3 more than twice the width What

solmaris [256]

<h3><u>Solution</u></h3>

<u>Given </u><u>:</u><u>-</u>

Perimeter of rectangle = 72 cm
The length is 3 more than twice the width.

<u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u>

Dimensions of rectangle

<h3 /><h3><u>Explantion</u></h3>

<u>Using </u><u>Formula</u>

$\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}$

<u>Let,</u>

Length of Rectangle = x cm
Breadth of Rectangle = y cm

<u>According</u><u> to</u><u> question</u><u>,</u>

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

<u>Again,</u>

==> x = 2y + 3

==> x - 2y = 3__________________(2)

<u>Subtract</u><u> </u><u>equ(</u><u>1</u><u>)</u><u> </u><u>&</u><u> </u><u>equ(</u><u>2</u><u>)</u>

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

<u>keep </u><u>in </u><u>equ(</u><u>1</u><u>)</u>

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

<h3><u>Hence</u></h3>

<u>Length</u><u> of</u><u> </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>2</u><u>5</u><u> </u><u>cm</u>
<u>Width </u><u>of </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>1</u><u>1</u><u> </u><u>cm</u>

<h3><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h3>

<h3 />

7 0

3 years ago

7 increased by a number w

amid [387]

Answer:

The answer is

$w + 7$

8 0

3 years ago

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A malt shop uses one fourth of a box of waffle cones everyday they were open. How many days would 2 whole boxes last them

Elenna [48]

The awnser to this equation is 8

6 0

3 years ago