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3 years ago

The distributive property of 8(a+4)

Mathematics

2 answers:

zavuch27 [327]3 years ago

8 0

8x+32 brainliest me pls

Zinaida [17]3 years ago

7 0

Answer and Step-by-step explanation:

With the distributive property, the 8 will distribute itself to the a and the 4, resulting in 8a + 32.

#teamtrees #PAW (Plant And Water)

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A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

4 years ago

Letters a, b, c, and d are angles measures.

seropon [69]

The answers are:

a = c

c = d

b + d =180 degrees

Here's how:

When a line intersects two parallel lines, then corresponding angles are formed which means the same corners are congruent.

option c = d is considered.

And, because of vertical angles,

a = d is also an answer.

Below is an attached picture of the figure

7 0

3 years ago

Solve. x+3.5=413 x=45 x=56 x=476 I don't know.

umka2103 [35]

Answer:

x = 409.5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A question I have been trying to solve:

Elden [556K]

Answer:

A jumbo burrito cost more than $3.00

Step-by-step explanation:

The correct question is

The Larsen Family bought 3 jumbo burritos and 2 regular burritos for $13.65. The Russo family bought 5 jumbo burritos and 2 regular burritos for $20.23. Does a jumbo burrito cost more than $3.00? Write and solve a system of equations to justify your answer

Let

x ---> the price of one jumbo burrito

y ---> the price of one regular burrito

we know that

The Larsen Family

$3x+2y=13.65$ ----> equation A