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3 years ago

Help with this please

Mathematics

1 answer:

Alla [95]3 years ago

4 0

Answer:

1) A

2) I

3) G

4) B

Step-by-step explanation:

Bottom side: 7c - 1

Tall side: 6c + 2

P = 7c - 1 + 6c + 2 + 3c - 2 + 2c + 4c + 1 + 4c + 2

P = 26c + 2

P = 26(5) + 2

P = 132

P = 2(l + w)

P = 2(3d - 2 + 5d + 1)

P = 16d - 2

P = 16(3) - 2

P = 46

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PLEASE HELP ME!!!

VladimirAG [237]

Answer:

Part 1) $c=\sqrt{146}\ cm$

Part 2) $c=8\sqrt{2}\ in$

Part 3) The diagonal of rectangle is $d=3\sqrt{29}\ cm$

Part 4) The length of the diagonal of computer monitor is $d=15\ in$

Part 5) The ramp is $10.59\ ft$ long

Part 6) The distance between their houses is $=4\sqrt{2}\ mi$

Part 7) $234.31\ mi$

Part 8) 120 feet of wire is required

Step-by-step explanation:

Part 1) we know that

To find the length of the hypotenuse in a right triangle apply the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the hypotenuse (the greater side)

a and b are the legs

we have

$a=11\ cm\\b=5\ cm$

substitute

$c^2=11^2+5^2$

$c^2=146$

$c=\sqrt{146}\ cm$

Part 2) we know that

To find the length of the hypotenuse in a right triangle apply the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the hypotenuse (the greater side)

a and b are the legs

we have

$a=8\ in\\b=8\ in$

substitute

$c^2=8^2+8^2$

$c^2=128$

$c=\sqrt{128}\ in$

simplify

$c=8\sqrt{2}\ in$

Part 3) we know that

To find the length of the diagonal in a rectangle apply the Pythagorean Theorem

$d^2=b^2+h^2$

where

d is the diagonal of rectangle

b and h are the base and the height of rectangle

we have

$b=15\ cm\\hb=6\ cm$

substitute

$d^2=15^2+6^2$

$d^2=261$

$d=\sqrt{261}\ cm$

simplify

$d=3\sqrt{29}\ cm$

Part 4) we know that

To find the length of the diagonal of a computer monitor apply the Pythagorean Theorem

$d^2=w^2+h^2$

where

d is the diagonal of computer monitor

w and h are the wide and the high of computer monitor

we have

$w=12\ in\\h=9\ in$

substitute

$d^2=12^2+9^2$

$d^2=225$

$d=\sqrt{225}\ in$

simplify

$d=15\ in$

Part 5) we know that

To find out the length of the ramp apply the Pythagorean Theorem

$L^2=x^2+y^2$

where

L is the length of the ramp

x is the horizontal distance of the ramp

y is the vertical distance of the ramp

we have

$x=10\ ft\\y=3.5\ ft$

substitute

$L^2=10^2+3.5y^2$

$L^2=112.25$

$L=10.59\ ft$

Part 6) we know that

To find the distance between their houses apply the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the hypotenuse (distance between their houses)

a and b are the legs

we have

$a=4\ mi\\b=4\ mi$

substitute

$c^2=4^2+4^2$

$c^2=32$

$c=4\sqrt{2}\ mi$

Part 7) we know that

The speed is equal to divide the distance by the time

$speed=distance/time$

the distance is equal to multiply the speed by the time

$distance=speed*time$

<em>First train</em>

speed=60 mph

time=3 hours

distance=60(3)=180 miles

<em>Second train</em>

speed=50 mph

time=3 hours

distance=50(3)=150 miles

To find out how far apart are the trains at the end of 3 hours apply the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the hypotenuse (distance between the trains)

a and b are the legs

we have

$a=180\ mi\\b=150\ mi$

substitute

$c^2=180^2+150^2$

$c^2=54,900$

$c=234.31\ mi$

Part 8) we know that

For one tree is needed three wire

To find out the length of one wire apply the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the hypotenuse (length of one wire)

a and b are the distance above the ground and the distance from the base

we have

$a=3\ ft\\b=4\ ft$

substitute

$c^2=3^2+4^2$

$c^2=25$

$c=5\ ft$

For one tree is required ----> (5)3=15 ft

therefore

For 8 trees is required

Multiply by 8

15(8)=120 ft

6 0

3 years ago

Which is a common factor of 1 and 2?

sashaice [31]

Answer:

The common factor is 1.

Step-by-step explanation

The common factor of 1 and 2 is 1 since 1x2=1.

6 0

3 years ago

The water level in a reservoir is now 52 meters. If this was 23% increase, what was the initial depth

tester [92]

Answer:

1.23x=52

Step-by-step explanation:

8 0

3 years ago

Jayla bought a table and some chairs at a furniture store.

anzhelika [568]

Answer:

b. She paid $30 for each chair.

6 0

3 years ago

Read 2 more answers

What are the steps to solve this?<br> 9+6(x-5)=10-3(x-7)

Aliun [14]

<h2><u>Solve for x</u></h2>

<h3>what are the steps to solve this?</h3><h3>9+6(x-5)=10-3(x-7)</h3>

<u>Step 1:</u> Apply distributive property.

9 + 6(x - 5) = 10 - 3(x - 7)
9 + 6x - 30 = 10 - 3x + 21
-21 + 6x = 31 - 3x

<u>Step 2:</u> Combine all like terms.

-21 + 6x = 31 - 3x
-21 - 31 = -6x - 3x
-52 = -9x

<u>Step 3:</u> Divide both sides of the equation by -9 and simplify.

-52/-9 = -9x/-9
52/9 = x

<u>Answer:</u>

The value of x is <u>52/9</u>.

Wxndy~~

5 0

2 years ago