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lisov135 [29]
1 year ago
9

You are going to make a picture frame that is going to be 5 1/2 inches long and 4 1/8 inches wide. You will measure the diagonal

distance to determine if you are making square corners. What would the measurement of the diagonal need to be to ensure that the corners are square?
Mathematics
1 answer:
artcher [175]1 year ago
7 0

Answer:

22 11/16 or 22.68

Step-by-step explanation:

Turn the mixed numbers to fractions

\frac{11}{2} *\frac{33}{8}

Then multiply both Numerators

11 x 33=363

Also do the same to the Denominators

2 x 8=16

You get  \frac{363}{16}

Simplify and it becomes 22 11/16 or 22.68

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What would be the appropriate units and intervals to use along the x- and y-axes
Vika [28.1K]

X axes are supposed to be positive and the y is negative.

3 0
3 years ago
A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co
butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

\displaystyle \vec{v}=\frac{\vec{x}}{t}

Where \vec x is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

\displaystyle \vec{x}=\vec{v}.t

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

\displaystyle \vec{v_1}=

\displaystyle \vec{v_1}=\ km/h

The displacement of the plane in 2 hours is

\displaystyle \vec{x_1}=\vec{v_1}.t_1=.(2)

\displaystyle \vec{x_1}=km

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

\displaystyle \vec{v_2}=

\displaystyle \vec{v_2}=km/h

The displacement in 1 hour is

\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)

\displaystyle \vec{x_2}=km

The total displacement is the vector sum of both

\displaystyle \vec{x_t}=\vec{x_1}+\vec{x_2}=+

\displaystyle \vec{x_t}=km

\displaystyle \vec{x_t}=

The distance from the airport is the module of the displacement:

\displaystyle |\vec{x_t}|=\sqrt{(-746.41)^2+492.82^2}

\displaystyle |\vec{x_t}|=894.43\ km

8 0
3 years ago
According to Greek mathematician Zeno, if each bounce of a ball is half the height of the bounce before it,the ball will never s
vovikov84 [41]
From the diagram associated with this question it can be seen that the first bounce was 1 units high, thus the second bounce is 1 / 2 = 0.5 units high and the third bounce is 0.5 / 2 = 0.25 = 1/4 units high.

Given that B represents the second bounce and C represents the first bounce, the <span>fractions in hundredths that should be written at points B is 0.50 while at point C is 0.25</span>
8 0
3 years ago
Approximate the value of each of the irrational numbers below to the nearest thousandth.
Marta_Voda [28]

ANSWER

\sqrt{13}  = 3.606

to the nearest thousandth.

EXPLANATION

The given irrational number is

\sqrt{13}

We use the calculator to evaluate this to obtain,

\sqrt{13}  = 3.605551...

To round to the nearest thousandth means we are rounding to 3 decimal places.

The third decimal place is 5.

The next number is 5 so we round up.

\sqrt{13}  = 3.606

4 0
3 years ago
Evaluate j/4 when j = 12
JulsSmile [24]
Your answer will be 3
7 0
2 years ago
Read 2 more answers
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