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kolezko [41]
3 years ago
8

Follow the process of completing the square to solve x2 - 10x + 8 = 0.

Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0
Don’t listen to any link scams
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Aaden is 1.75 meters tall. At 11 a.m., he measures the length of a tree's shadow to be 37.65 meters. He stands 32.9 meters away
Ratling [72]

The relationship between Aaden and the tree's height is an illustration of equivalent ratio

The height of the tree is 2.00 meters

At 11 a.m, we have:

\mathbf{Aaden = 1.75m}

\mathbf{Tree\ Shadow = 37.65m}

\mathbf{Aaden\ Shadow = 32.9m}

So, we make use of the following equivalent ratio

\mathbf{Aaden : Tree = Aaden\ Shadow : Tree\ Shadow}

This gives

\mathbf{1.75: Tree = 32.9: 37.65}

Express as fractions

\mathbf{\frac{Tree}{1.75} = \frac{37.65}{32.9}}

Multiply both sides by 1.75

\mathbf{Tree = \frac{37.65}{32.9} \times 1.75}

\mathbf{Tree = 2.00}

Hence, the height of the tree is 2.00 meters

Read more about equivalent ratios at:

brainly.com/question/18441891

8 0
3 years ago
Find the area of the shaded part.
mart [117]

Answer:

Step-by-step explanation:

For part a :

The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :

C = 2×π×r = 2×π×8 = 16π

For part b :

The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :

A = π×r² = π×8² = 64π

For part c :

The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula   2r : so

D = 2r = 2×8 = 16

So the area of the square will equal :

A = 16² = 256

Hope this helped and brainliest and hearts please.

I'm on my road to genius rank

7 0
2 years ago
It is estimated that only 68% of drivers wear their safety belt. How many people should a police officer expect pull over until
e-lub [12.9K]

Answer:

D. 4

Step-by-step explanation:

Percent of drivers who wear seat belts = 68

Percent of drivers who do not wear seat belts = 100 - 68 = 32

Now, we know that for every 100 pull overs, 32 drivers will not be wearing belt.

32 drivers without seat-belt = 100 pullovers

1 driver without seat-belt = 100/32 pullovers

1 driver without seat-belt = 3.125 pullovers (4 pullovers)

So, a police officer should expect 4 pullovers until she finds a driver not wearing a seat-belt.

4 0
4 years ago
The end points of a diameter of a circle are (-6,2) and (10,-2). What are the coordinates of the center of the circle?
lozanna [386]

Check the picture below.

if we know the endpoints of the circle, then its center must be the midpoint of those two endpoints.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{10-6}{2}~~,~~\cfrac{-2+2}{2} \right)\implies \left( \cfrac{4}{2}~~,~~\cfrac{0}{2} \right)\implies (2~~,~~0)

4 0
4 years ago
Hiii umm yeah i need help on this its about direct variation equations
taurus [48]

Each 5 minutes represent 1 mile. This can be also referred as independent and dependent variables. It takes 5 minutes for 1 mile. Or T=5m (m=minutes) D=1

so 5 x 2 (5 minutes x 2) = 10 minutes and 10 minutes equal to 2 miles, each 5 minutes is another mile. For example, 60 minutes (1 hour) 60 divided by 5 = 12 so in 1 hour (60 mins) equal to 12 miles in total! hope this helps at least a bit! :)

7 0
3 years ago
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