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scoray [572]
3 years ago
5

Are the linear equations in standard form? sort each equation into the appropriate category.

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0
What equation? You would have to pass a photo, but...
Standard form is: ax+by=c
Slope intercept form is: y=my+b
Point slope for is: y − y1 = m(x − x1)
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A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.
s2008m [1.1K]

Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

Actual height to shadow for both objects. The fraction equivalents must be equal.

6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x   Divide both sides by 8  (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>

<em>6/8 = 3/4</em>

<em>Then multiply the length of the shadow by 3/4</em>

<em>3/4 × 28 = height</em>

<em>28÷4 = 7    7 × 3 = 21</em>

<em>21  feet= the height of the palm tree.</em>

3 0
2 years ago
What is the lcm of 32 and 45
Talja [164]
1440 will be your least common multiple
7 0
3 years ago
Read 2 more answers
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi
Whitepunk [10]

Answer:

A=81\pi $ m^2

Step-by-step explanation:

Circumference of the column =18\pi $ meters

Circumference of a circle=2\pi r

Therefore:

2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters

Area of a Circle =\pi r^2

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

=\pi *9^2\\=81\pi $ m^2

5 0
3 years ago
Find the directional derivative of f at the given point in the direction indicated by the angle θ.
anygoal [31]

Answer:

Directional derivative = 1/√2

Step-by-step explanation:

We are given f(x, y) = y cos(xy)

Now, we know that;

∇f(x, y) = ycos xy

Thus, applying that to the question, we have;

∇f(x, y) = [-y² sin xy, cos (xy) - xy sin xy]

At coordinates (0,1),we now have;

∇f(0, 1) = [-1²•sin0, (cos 0) - 0]

∇f(0, 1) = [0, 1]

Now, unit vector indicated by the angle θ is given as; u = [cos θ, sin θ]

From the question, since θ = π/4, thus

u = [cos π/4, sin π/4]

Cos π/4 in surd form is; 1/√2

Also, sin π/4 in surd form is; 1/√2

So, u = [1/√2, 1/√2]

Directional derivative = [∇f(0, 1)] • u

= [0, 1] × [1/√2, 1/√2] = 0 + 1/√2 = 1/√2

4 0
2 years ago
Find the angle measures given the figure is a rhombus
Inessa05 [86]

Answer:

we must be doing the same problems

Step-by-step explanation:

I need help on them as well

3 0
3 years ago
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