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inysia [295]
2 years ago
6

A figure is made up of three triangles. Each triangle has a base of 5 feet and a height of 4.5 feet. What is the total area of t

he figure?
Group of answer choices

33.75 ft²

43.75 ft²

67.5 ft²

22.5 ft²
Mathematics
1 answer:
aliina [53]2 years ago
6 0

Answer:

Step-by-step explanation:

3 * 1/2 * 5 * 4.5

= 33.75 fT^2.

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It’s in the picture if u can help I will be thankful
Delicious77 [7]

Answer:

The length of LM,hypotenuse is 55.866ft

Step-by-step explanation:

Given that LN=39ft and MN=40ft so you can solve it using Pythogoras' Theorem:

side²+side² = hypo²

LN² + MN² = LM²

hypo² = 39²+40²

= 3121

LM = √3121

= 55.866ft (3d.p)

6 0
3 years ago
Is 8/10 equivalent to 4/5
nordsb [41]
Yes  8/10 is equivalent to 4/5 or 16/20 ...
6 0
3 years ago
Read 2 more answers
Which region represents the solution to the given system of inequalities?
Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

 Given the following system of inequalities:

\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.

We need to graph the lines.

We have the line:

x+3y=-3

Solving for "y", we get:

3y=-x-3\\\\y=\frac{1}{3}x-1

Knowing that m=-\frac{1}{3} and b=-1, we can graph it.

Since the symbol is \leq, the line must be solid.

The other line is:

x=3

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is \geq, the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

0+3(0)\leq-3\\\\0\leq-3

This is false, therefore, we must shade the half that does not contain this point.

0\geq 3

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

8 0
3 years ago
Read 2 more answers
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which t
Sidana [21]
<h3>Answer:  5 < x < 21</h3>

Explanation:

Let x be the length of the third side. We can't find the exact value of x, as we don't have enough info, but we can find possible values for x.

The lower boundary for x is 13-8 = 5. It must be larger than this value.

At the same time, x must be smaller than 13+8 = 21 as well.

So x > 5 and x < 21 becomes 5 < x < 21

In short, x is between 5 and 21. It cannot equal either endpoint.

3 0
3 years ago
Show that the Second Derivative Test is inconclusive when applied to the following function at​ (0,0). Describe the behavior of
morpeh [17]

Answer:

See explanations for step by step procedure to answer

Step-by-step explanation:

Given that;

.f (x comma y )equals 8 x squared y minus 3 Confirm that the function f meets the conditions of the Second Derivative Test by finding f Subscript x Baseline (0 comma 0 )​, f Subscript y Baseline (0 comma 0 )​, and the second partial derivatives of f.

See attached documents for clearity, further explanations and answer

6 0
3 years ago
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