Answer:
Step-by-step explanation:
For a triangle the area is
If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4. If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4. To find the base, then, which is opposite the angle, we use the sin ratio:
and
4sin(20) = b so
b = 1.368
But we need the whole base, and that is only half of it. So
2b = 2.736
To find the height, which is adjacent to the angle, we use the cos ratio:
and
4cos(20) = h so
h = 3.759
Now we have enough info to find the area of the triangle using the triangle area formula from above:
and
A = 5 meters squared.
Y-intercept: 0
Slope: 4
Explanation
Y-intercept is the number without the x which in this case is no number so it’s 0 so that’s where the point in the y axis goes
Slope is rise over run so if the equation is 2y = 8x then we can simplify this by dividing both sides by 2 which would be y = 4x so slope is 4/x. Which is basically 4/1 because the x means over one so up 4 units and to the right once
Hope this helps
<span>The end behavior of a polynomial function is the behavior of the graph of f as
x → +∞ or x → -∞ , depending on its leading coefficient.
In the example, the LEADING COEFFICIENT = - 3x</span>⁵
<span>,when x → +∞, ( - 3x⁵ ) → - ∞ . The end behavior, the polynomial approches minus infinity
</span>
Using proportions, it is found that Felipe needs 23.625 meters of wood to make that many birdhouses.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
To make an amount, he needs 5 1/4 meters = 5.25 meters. How many meters he needs to make 4 1/2 = 4.5 times the amount?
5.25 x 4.5 = 23.625 meters.
Felipe needs 23.625 meters of wood to make that many birdhouses.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
ALEKS Corporation
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Step-by-step explanation:
