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3 years ago

9

Write three equivalent ratios for 2/7

1 answer:

Sholpan [36]3 years ago

4 0

Answer:

4:14, 6:21, 8:28

Step-by-step explanation:

2x2=4 2x7=14 = 4:14

2x3=6 3x7=21 = 6:21

2x4=8 4x7=28 =8:28

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Carlos has 7 times as many red toy cars as blue toy cars. He has 56 total cars. How many more red cars does he have?

antiseptic1488 [7]

let x = blue cars

so 7x = red cars

x +7x = 56

8x = 56

x = 56/8 =7 blue cars

7*7 =49 red cars

49-7 =42 more red cars

6 0

3 years ago

One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up

Anit [1.1K]

Let

$A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)$

using a graph tool

see the attached figure

The figure is a triangle

we know that

<u>The Heron's Formula</u> is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

$Area=\sqrt{p*(p-a)*(p-b)*(p-c)}$

where

p is is half the perimeter of the triangle

a,b,c are the lengths of the sides of a triangle

so

Step $1$

<u>Find the length sides of the triangle</u>

a) <u>Find the distance AB</u>

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}$

$d =3.5\ mi}$

b) <u>Find the distance AC</u>

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}$

$d =6.15\ mi}$

c) <u>Find the distance BC</u>

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}$

$d =2.75\ mi}$

Step $2$

<u>Find the perimeter of the triangle</u>

$Perimeter= 3.5+6.15+2.75 =12.4\ mi$

<u>Find the half of the perimeter </u>

$p=\frac{12.4}{2} = 6.2\ mi$

Step $3$

<u>Find the area of the triangle</u>

$Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}$

$Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}$

$Area= 1.69\ mi^{2}$

therefore

<u>the answer is the option </u>

a) 1.65 mi^2.

4 0

3 years ago

Read 2 more answers

Please help! Thank you

Vanyuwa [196]

Answer:

x = 82°

y = 59°

z = 39°

Step-by-step explanation:

∠x = 1/2(134° + 30°) = 82°

∠z = 180° - 59° - 82° = 39°

arc DF = 2(39°) = 78°

arc DB + arc DF = 134° + 78° = 212°

draw a diameter down from point B to the opposite side of the circle, call that point P:

arc BDP = 180°

(arc BDF) 212° - 180° = 32° (arc PF)

∠PBG = 1/2(32°) = 16°

∠DEB = 1/2(134°) = 67°

∠DBE = 180° - 59° - 67° = 54°

(∠DBE) 54° - (∠z) 39° + (∠PBG) 16° = (∠PBE) 31°

y = 90°- 31° = 59°

5 0

3 years ago

Calvin sells real estate. He earns a 5% straight commission on each sale. He recently sold a house for $159,000.

Vanyuwa [196]

Mupliply .5 by 159000 and you get 79,500

4 0

3 years ago

Read 2 more answers

I need help...........

harina [27]

Answer:

Step-by-step explanation:

8 0

3 years ago