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3 years ago

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?

Mathematics

2 answers:

olga55 [171]3 years ago

7 0

Answer:

Hence, the expression for the area of the metal sheet used is:

$(x+1)^2=x^2+2x+1$

Step-by-step explanation:

It is given that a traffic signal is in the shape of a square such that its's one side is labeled as:

x+1.

We are asked to find the expression that is equivalent to the area of metal sheet required to make this square-shaped traffic sign.

The area of metal sheet used will be equal to the area of the traffic signal which is equal to the area of the square with side length (x+1).

Hence, the area of square(A) is:

$A=(x+1)^2\\\\A=x^2+1+2x$

Hence, the expression equivalent to the area of metal sheet used is:

$(x+1)^2=x^2+2x+1$

Lena [83]3 years ago

6 0

(x+1)^2
(x+1)(x+1)
x^2+x+x+1
The expression is x^2+2x+1

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A county has a goal to build 12,000 bus stop shelters in 48 months . If the county builds 215 bus shelters each month , will it

Leokris [45]

Answer:

No, it will not reach its goal.

Step-by-step explanation:

The main reason why it will not meet its goal is because if you do the math, 215 x 48 does not equal 12000, it equals 10320 which is just 1680 shelters low. Therefore, they will not meet their goal.

8 0

3 years ago

Read 2 more answers

On a piece of paper, use a protractor to construct △ABC with m∠A=30° , m∠B=60° , and m∠C=90° .

pochemuha

Answer:

It's a right triangle.

Step-by-step explanation:

△ABC with m∠A=30° , m∠B=60° , and m∠C=90°

It's a right triangle.

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3 years ago

On a map the distance from Fort Collins to Cheyenne is 3.2 inches. The angle formed at Laramie has measure 43.6º, and the angle

MArishka [77]

We can solve this by drawing a triangle with three points. The first point at Fort Collins (F), the second at Cheyenne (C) and the third at Laramie (L).

The angle at F = 46.5, the angle at L = 43.6. We know the side opposite angle L = 3.2 (side FC), now we must solve for the side opposite angle F (side LC).

We can use the law of sines to solve this where:

sinA/a = sinB/b
sin43.6/ 3.2 = sin46.5/LC
LC = 3.2 (sin46.5/sin43.6)
LC = 3.37 inches

We are told 1 in = 10.6 miles, therefore:

3.37 inches x 10.6 miles/in = 36 miles from Laramie to Cheyenne.

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3 years ago

Alex is standing 60 feet from the base of a flagpole. He measures the angle of elevation to the top of the pole as 35º. Vera is

ivanzaharov [21]

Answer:

49.4 degrees

Step-by-step explanation:

In Triangle AXY,

$Tan 35^0=\frac{|XY|}{60} \\|XY|=60*Tan 35^0=42.01\:feet\\$Therefore, Height of the pole=42.01 \:feet$

We want to determine the angle of elevation from the point Vera is standing to the top of the flagpole, which is the angle at V in the diagram.

In Triangle XVY

|VY|=36 feet

$Tan \theta=\frac{|XY|}{|VY|} \\Tan \theta=\frac{42.01}{36}\\ \theta=arctan(\frac{42.01}{36})\\ \theta=49.4^0$

Therefore, the angle of elevation from the point Vera is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.

4 0

3 years ago

Nick can read 3 pages in 1 minute. Write the ordered pairs (number of minutes, number of pages read) for Nick reading 0,1,2,and

Mariana [72]

Y = 3x....where y is # pgs read and x = # of minutes

0 minutes....x = 0
y = 3(0)
y = 0
ordered pair (0,0)

1 minute...x = 1
y = 3(1)
y = 3
ordered pair (1,3)

2 minutes...x = 2
y = 3(2)
y = 6
ordered pair (2,6)

3 minutes...x = 3
y = 3(3)
y = 9
ordered pair (3,9)

4 0

3 years ago