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1 year ago

A traffic helicopter descends 153 meters to be 445 meters above the ground, as illustrated in the

Mathematics

1 answer:

sertanlavr [38]1 year ago

6 0

Answer:

598 meters

Step-by-step explanation:

In the problem, the word 'decend' means to decrease in elevation.

Our equation:

$? - 153 = 445$

Add 153 to both sides of the equation:

$?= 598$

598 meters represents the original height of the helicopter.

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Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design f

matrenka [14]

Answer:

Options 2), 4), and 5) are correct

Step-by-step explanation:

Rock the House Digital Designs

Cost = $(500 + 50h)

Elegant Home Architects

Cost = $(75h)

===========================

Answer options:

1)The expression 50h represents the total charge for Rock the House Digital Designs.

Incorrect. Additional $500 charged.

2)The expression 75h represents the total charge for Elegance Home Architects.

Correct

3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.

Incorrect. They will choose one of the options.

4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.

Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250

5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.

Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875

8 0

3 years ago

Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final t

dmitriy555 [2]

Answer:

1. Find the difference between the areas.

Area of the small rectangle: $(x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14$

Area of the big rectangle: $(x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99$

The difference is: $11x+85$

$( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85$

You can solve this question just by looking at the graph.

a) The height is 4 meters.

$f(d)=h=-2d^2+7d+4$

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

$f(0)=h=-2(0)^2+7(0)+4$

$h=4$

The height is 4 meters.

b) 9 meters.

For $d=1$

$f(1)=h=-2(1)^2+7(1)+4$

$f(1)=h=-2+7+4$

$h=9$

b) The ball travels 4 meters.

But to calculate it, it is when $h=0$

$0=-2d^2+7d+4$

Using the quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$

$d=\frac{-7\pm\sqrt{81}}{-4}$

$d=\frac{-7\pm9}{-4}$

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

$d=-\frac{1}{2} \text{ or }d=4$

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

$V=\pi r^2h$

$V=\pi (2.5)^2 \cdot 5$

$V=31.25 \pi$

$V_{c} \approx 98.17 \text{ m}^3$

The volume of the sphere:

$V=\frac{4}{3} \pi r^2$

$V_{s} \approx 65.4 \text{ m}^3$

The volume of the capsule is approximately $163.57 \text{ m}^3$

3 0

3 years ago

There are 250 bricks used to build a wall 20 feet high.How many bricks will be used to buld a wall that is 30 fet high

Dmitry_Shevchenko [17]

Answer: 375

Step-by-step explanation:

Since we are given the information that there are 250 bricks used to build a wall 20 feet high, the number of brick used per feet will be:

= 250/20

= 12.5 bricks per feet.

Therefore, the number of bricks that will be used to buld a wall that is 30 fet high will be:

= 12.5 × 30

= 375 bricks.

Therefore, 375 bricks would be used.

3 0

2 years ago

What number would you add to both sides of x2 – 20x = 5 to complete the square?

lara31 [8.8K]

the answer would be100

7 0

3 years ago

Read 2 more answers

Please help to prove parallelogram.

tino4ka555 [31]

The question requests proof that WV = VR. See the definition of Mathematical proof and the explanation for the proof below.

<h3>What is a mathematical proof?</h3>

Mathematical proof refers to the steps of logical arguments which are given to show that a mathematical statement is true or correct.

<h3>What is the proof that WV = VR?</h3>

Note that SR ║ QT;

Reason: This is given. The image is a parallelogram.

Hence, ∠PSR = ∠WVP
Reason: Alternate angles formed by two parallel lines crossing each other

Hence, SV = PVReason: This is given by the annotation on the image

Therefore: ΔSVR ≅ PVW

Reason: They are formed by two parallel lines crossing each other.

Therefore if ΔSVR ≅ PVW;

Then WV = VR.

QED.

Learn more about proofs at:
brainly.com/question/25927269
#SPJ1

8 0

1 year ago