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2 years ago

Evaluate each expression g5-h3 if g=2 and h=7

1 answer:

7 0

Look at it this way:
g=2
H=7
so it would be 2*5-7*3
than just do the multiplication first so 2*5=10 and 7*3=21 than subtract the two 10-21=-11

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Using a pair of compass only construct a triangle ABC such that AB=9cm, angle BAC=60° and angle ABC=45°

Leto [7]

Answer:

AC=5.4 BC=7.2

Step-by-step explanation

180-60-45=75 degree

9/75=AC/45=BC/60

6 0

2 years ago

A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

<em>Hence, the distance is 442 miles</em>

7 0

2 years ago

Jessica drank 1/8 gallon of orange juice

irakobra [83]

And what else you can not solve that problem

6 0

3 years ago

Which number is NOT written in scientific notation? 8.7 × 10–5 3 × 10–8 25.67 × 10–2 6.7 × 103

alexandr1967 [171]

Answer:

26.67X10^-2 would be incorrect since the decimal is in the wrong place.

Step-by-step explanation:

6 0

2 years ago

What should you do if in the REVIEW phase of problem solving, you find the answer doesn't make sense?

N76 [4]

Answer:

I would recheck the answer

Step-by-step explanation:

there is my opinion :)

4 0

2 years ago