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3 years ago

Which products result in a difference of squares? Check all that apply.

Mathematics

1 answer:

Iteru [2.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

(w-2.5)(w+2.5)=w(w+2.5)-2.5(w+2.5)

=w²+2.5w-2.5w-2.5²

=w²-2.5²

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Line ET is tangent to circle A and T, and the measure of arc TG is 46 degrees. What is the measure of Angle GET

kogti [31]

Answer:

$m\angle GET=67^o$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The measure of the external angle is the semi-difference of the arches it covers.

$m\angle GET=\frac{1}{2}[arc\ TN-arc\ TG]$

Remember that the diameter divide the circle into two equal parts

In this problem

TN is a diameter

we have

$arc\ TN=180^o$ ----> because is half the circle (TN is a diameter)

$arc\ TG=46^o$ ---> is given

substitute

$m\angle GET=\frac{1}{2}[180^o-46^o]=67^o$

7 0

3 years ago

Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of al

padilas [110]

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that $P(A) = 0.9$

82% of all buyers request built-in GPS

This means that $P(B) = 0.82$

77% of all buyers request both automatic transmission and built-in GPS.

This means that $P(A \cap B) = 0.77$

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is $P(A \cup B)$ , which is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95$

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

3 0

3 years ago

Pizza by the Pan sold 4 dozen pizzas in the afternoon. That night, they sold 2.5 times as many pizzas as they did during the aft

Sav [38]

Answer:

they sold 14 pizzas all day.

Step-by-step explanation:

4 x 2 = 8

0.5 means half of what they sold in the afternoon

4 ÷ 2 = 2

now add them both together to get the number of pizzas they sold at night.

8 + 2 = 10

now add the afternoon and night together

10 + 4 = 14

answer: 14 pizzas

6 0

3 years ago

An above swimming pool is leaking after 1/2 hour the pool has leaked 7/8 of a gallon of water

Luden [163]

The answer to your question are 1.75

8 0

3 years ago

What are the next three terms of the geometric sequence 32, -16, 8, …?

MrRa [10]

Answer:

-4, 2, -1

Step-by-step explanation:

everything is being multiplied by -1/2

32 × -1/2 = -16

-16 × -1/2 = 8

So 8 × -1/2 = -4

8 0

3 years ago