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3 years ago

daphne has 3 days to drive 932.4 miles . approximately how many miles does she need to drive each day.

1 answer:

4 0

So you're trying to figure out the number of miles in a day, so you could do:
total miles = miles
total time day
932.4 miles = 310.8 miles per day
3 days

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Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupo

grin007 [14]

The dress pants cost 40 bucks....the coupon for the dress pants is y percent off the dress pants...

so the part of the expression that represents the percent that skylar will pay for the dress pants is : (1-y)40

5 0

3 years ago

Read 2 more answers

What is the value of x?

Vlad1618 [11]

Answer:

Step-by-step explanation:

using pythagoras theorem

h²=p²+b²

8 0

2 years ago

If for two non-zero vectors a,b : ∣a+b∣=∣a−b∣ then angle between them is:______a. 0b. 45c. 60d. 90

Eddi Din [679]

Answer:

$90^\circ$

Step-by-step explanation:

Given two non zero vectors, $\vec a, \vec b$ .

Let the angle between the two vectors = $\theta$

Given that:

$|\vec a+\vec b|=|\vec a-\vec b|$

Let us have a look at the formula for magnitude of addition of two vectors:

$|\vec x+\vec y|=\sqrt{x^2+y^2+2xycos\theta}$

Where $\theta$ is the angle between the two vectors.

formula for magnitude of subtraction of two vectors:

$|\vec x-\vec y|=\sqrt{x^2+y^2-2xycos\theta}$

As per the given condition:

$\sqrt{a^2+b^2+2abcos\theta}=\sqrt{a^2+b^2-2abcos\theta}$

Squaring both sides:

$a^2+b^2+2abcos\theta=a^2+b^2-2abcos\theta\\\Rightarrow 2abcos\theta=-2abcos\theta\\\Rightarrow cos\theta = -cos\theta\\\Rightarrow 2cos\theta = 0\\\Rightarrow cos\theta = 0\\\Rightarrow \theta = 90^\circ$

So, the angle between the two vectors is: $90^\circ$

7 0

3 years ago

Write and solve a quadratic equation for the situation below. Choose the answer that has both an equation that correctly models

Klio2033 [76]

Okay so the area of a rectangle x by y with a border of width b will be:

A=(x+2b)(y+2b)

A=xy+2bx+2by+4b^2 we are told that A=320, x=11, and y=15 so now we have:

320=165+22x+30x+4x^2, now I am using x as the border width...

4x^2+55x+165=320 is the equation that they listed..

...

4x^2+55x-155=0 using the quadratic formula for efficiency...

x=(-55±√5505)/8 since x>0

x≈2.399 which for some unknown (incorrect) reason they rounded to

x=2.5

So in short, your answer is a)

4 0

3 years ago

Is the ordered pair (-2, 7) a solution of the equation 5x + 4y = 18?

GaryK [48]

Answer: Yes

Step-by-step explanation:

5(-2) + 4(7) = 18

-10 + 28 = 18

28 - 10 =18

18=18

6 0

3 years ago