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3 years ago

6

The time a traffic light remains yellow is one second more than 0.05 times the speed limit. What is the yellow time for a traffi

c light on a street witha speed limit of 30 mph?

1 answer:

weqwewe [10]3 years ago

4 0

30 * 0.05 + 1 = X
1.5 + 1 = X
2.5 = X

The light remains yellow for 2.5 seconds on a street with a speed limit of 30.

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Convert to the product of multiplication<br>a^2-b^2-4b-4

kirill [66]

$a^2-b^2-4b-4$ in form of multiplication is $(a-b)(a+b)-4(b+1)$ .

<u>Step-by-step explanation:</u>

We know that factors are the numbers that are being multiplied together . As 6532*7 = 45724 .Here 6532 & 7 are the factors and 45724 is product of the factors .

Here , we need to convert to the product of multiplication

a^2-b^2-4b-4 or , $a^2-b^2-4b-4$ :

⇒ $a^2-b^2-4b-4$

We know by identity that , $p^2-q^2 = (p-q)(p+q)$

⇒ $(a-b)(a+b)-4b-4$

Taking common term out as -4 :

⇒ $(a-b)(a+b)-4(b+1)$

Therefore , $a^2-b^2-4b-4$ in form of multiplication is $(a-b)(a+b)-4(b+1)$ .

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2 years ago

Rewrite 4x plus 2y equals 6 in slope intercept form.

KonstantinChe [14]

Answer:y=-2x+3

Step-by-step explanation:

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3 years ago

If PN=14, NO=20, PO=16, QR=55, and SR=44, find the perimeter of ΔQRS. Round your answer to the nearest tenth if necessary

vfiekz [6]

Answer:

The perimeter of QRS is 137.5

Step-by-step explanation:

From the given interval angles, we can see that the two triangles are congruent

so it is expected that the ratios of their corresponding sides are equal

this is because; 83 + 53 + 44 = 180

Now, let us work with the side facing the angle marked 53 in both triangles

For the smaller, we have the measure as 16

for the bigger, we have the measure as 44

So the scale factor here is 44/16 = 11/4 = 2.75

We have to multiply the measure of the sides of the smaller triangle by 2.75 to get that of the bigger triangle

in similar vein, we have to multiply the perimeter we have in the smaller triangle by 2.75 to get that of the bigger triangle

The perimeter of the smaller would be the sum of the side lengths

we have this as;

14 + 20 + 16 = 50

So the perimeter of the bigger triangle would be;

2.75 * 50 = 137.5

7 0

2 years ago

Victoria has a 2 pound package of flour. She uses 2/5 of the flour to make pizza. She then uses 3/10 of the remaining flour to m

timama [110]

One pound= 16 ounces

2 x 16 = 32 ounces = 2 pounds

2/5 can also be expressed in decimal form as .4

so 32 x .4 = 12.8

and then 3/10 also is .3

so 32 x .3 = 9.6

add the two 12.8 + 9.6 = 22.4

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3 years ago

Please help!<br><br><br> Due soon...

serious [3.7K]

Answer:

1: 233 m

2: 466 m

3: 241.87 m

4: 483.72

Step-by-step explanation:

The Pythagorean Theorem states that a^2 + b^2 = c^2, in which c is the hypotenuse (in this case, PQ and RS).

1: 105^2 + 208^2 = 54289, square root of 54289 = 233

2: Since the area of the triangle makes up half of the rectangle, multiply the area by 2 to get 466

3: 120^2 + 210^2 = 58500, square root of 58500 is 241.87

4: Multiply by 2 to get 483.72

4 0

2 years ago