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Brilliant_brown [7]

3 years ago

6

The number 220 is divided into two

2 answers:

Ksenya-84 [330]3 years ago

6 0

Answer:

x = 148

y = 72

Step-by-step explanation:

220 = x + y

x = 4 + 2y

220 = 4 + 2y +y

220 = 4 + 3y

216 = 3y

y = 72

x = 220 - y

x = 220 -72 = 148

Julli [10]3 years ago

6 0

Part a= 72
Part b= 148

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The answer to this question is c

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30) Find the sine, cosine, and tangent of

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3 years ago

An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points (18,20):

AURORKA [14]

Answer:

$2\ gal$

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

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

we have

$A(18,20),B(4,20),C(4,4),D(16.2),E(22.10)$

step 1

Find the distance AB

we have

$A(18,20),B(4,20)$

substitute in the formula

$d=\sqrt{(20-20)^{2}+(4-18)^{2}}$

$d=\sqrt{(0)^{2}+(-14)^{2}}$

$AB=14\ ft$

step 2

Find the distance BC

we have

$B(4,20),C(4,4)$

substitute in the formula

$d=\sqrt{(4-20)^{2}+(4-4)^{2}}$

$d=\sqrt{(-16)^{2}+(0)^{2}}$

$BC=16\ ft$

step 3

Find the distance DE

we have

$D(16.2),E(22.10)$

substitute in the formula

$d=\sqrt{(10-2)^{2}+(22-16)^{2}}$

$d=\sqrt{(8)^{2}+(6)^{2}}$

$d=\sqrt{100}$

$DE=10\ ft$

step 4

Find the distance AE

we have

$A(18,20),E(22.10)$

substitute in the formula

$d=\sqrt{(10-20)^{2}+(22-18)^{2}}$

$d=\sqrt{(-10)^{2}+(4)^{2}}$

$d=\sqrt{116}$

$AE=10.77\ ft$

step 5

Find out the area of the four walls

To determine the area sum the length sides and multiply by the height of the walls

so

$A=(AB+BC+DE+AE)h$

substitute the given values

The height of the walls is 10 ft

$A=(14+16+10+10.77)10$

$A=(50.77)10$

$A=507.7\ ft^2$

step 6

Determine the number of gallons needed to paint the four walls

we know that

one gallon of paint is enough to cover 400 square feet

using proportion

$\frac{1}{400}\ \frac{gal}{ft^2}=\frac{x}{507.7}\ \frac{gal}{ft^2}\\\\x=507.7/400\\\\x= 1.27\ gal$

Round up

$x=2\ gal$

5 0

3 years ago

Solve the expression and find the value of x.

vovangra [49]

$\large\underline{\sf{Solution-}}$

$\sf \dfrac{x + 1}{10} - \dfrac{3(x - 1)}{5} = 2$

$\sf\longmapsto \dfrac{x + 1}{10} - \dfrac{3x - 3}{5} = 2$

$\sf\longmapsto \dfrac{(x + 1) - 2(3x - 3)}{10} = 2$

$\sf\longmapsto \dfrac{x + 1 - (6x - 6)}{10} = 2$

$\sf\longmapsto \dfrac{x + 1 - 6x + 6}{10} = 2$

$\sf\longmapsto \dfrac{ - 5x + 7}{10} = 2$

$\sf\longmapsto - 5x + 7 = 20$

$\sf\longmapsto - 5x = 20 - 7$

$\sf\longmapsto - 5x = 13$

$\sf\therefore x = - \dfrac{13}{5}$

Hence, the value of x will be -13/5 respectively.

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3 years ago

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madam [21]

b= 63 and that is your answer

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3 years ago

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