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2 years ago

PLEASE HELP ME I WILL MARK IF RIGHT

Mathematics

1 answer:

wariber [46]2 years ago

6 0

Step-by-step explanation:

the small and the large triangles are similar triangles.

they have the same angles. and the corresponding sides correlate to each other with the same ratio for every pair of sides.

so,

28 / 82 = (2x + 8) / ((2x + 8) + (5x -4)) =

= (2x + 8) / (7x + 4)

(7x + 4)×28 = (2x + 8)×82

196x + 112 = 164x + 656

32x = 544

x = 17

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Las bases de un prisma recto son dos triangulos rectangulos cuyos catetos miden 1.5 cm y 1.8 cm, respectivamente, el prisma tien

nydimaria [60]

Answer:

Part 1) The surface area is $SA=35.1\ cm^{2}$

Part 2) The volume is equal to $V=12.15\ cm^{3}$

Step-by-step explanation:

The question in English is

The bases of a right prism are two rectangle triangles whose legs measure 1.5 cm and 1.8 cm, respectively, the prism has a height of 4.5 cm. calculates its total surface area and volume

Part 1) Find the surface area

The surface area is equal to

$SA=2B+Ph$

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

Find the area of the base B

$B=(1.5)(1.8)=2.7\ cm^{2}$

Find the perimeter of the base P

$P=2*(1.5+1.8)=6.6\ cm$

we have

$h=4.5\ cm$

substitute the values

$SA=2(2.7)+(6.6)(4.5)=35.1\ cm^{2}$

Part 2) Find the volume

The volume is equal to

$V=Bh$

where

B is the area of the base

h is the height of the prism

we have

$B=2.7\ cm^{2}$

$h=4.5\ cm$

substitute

$V=(2.7)(4.5)=12.15\ cm^{3}$

5 0

3 years ago

-4 (2x + 13) + 3x = 80 How do you solve this out and get the answer

shusha [124]

Hey :)

x= -12

Use the distributive property to multiply −4 by 2x+13

−8x−52=3x+80
Subtract 3x from both sides
−8x−52−3x=80

Combine −8x and −3x to get −11x
−11x−52=80

Add 52 to both sides
−11x=80+52

Add 80 and 52 to get 132
−11x=132

Divide both sides by −11
x= 132/-11

Divide 132 by −11 to get −12
x=−12

Hope this helps :)

6 0

3 years ago

If a/ b = 6/7 and a/c = 2/5 , what is the value of 3b+c in terms of a?

Nookie1986 [14]

Not sure. has the same question

6 0

3 years ago

Read 2 more answers

- Ms. McNeil buys 2.4 gallons of gasoline. The total cost is $7.56. The

Brilliant_brown [7]

Answer:

The price of one gallon of gasoline is $3.15

Step-by-step explanation:

If the lady buys 2.4 gallons of gasoline for a total of $7.56, then as the problem suggests, one can find the unknown price of gasoline per gallon (p) by solving the equation for the unknown "p":

2.4 p = 7.56

then divide both sides by 2.4 to isolate the unknown "" on one side of the equal sign:

p = 7.56/2.4

p = $3.15

so this is the price per gallon of gasoline.

3 0

3 years ago

A square postage stamp has area 1,130 mm². About how long is each side?

Anna007 [38]

Answer:

33.61 mm (the square root of 1130)

Step-by-step explanation:

3 0

3 years ago