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2 years ago

An engineer designs a structure that is is 21 feet long and 3

Mathematics

1 answer:

artcher [175]2 years ago

4 0

Answer:

7:3

Step-by-step explanation:

Convert one of the measurements to the other before attempting to solve the question.

1 yard = 3 feet

Multiply both sides by 3 to get:

3 yards = 9 feet

Therefore the ratio would be

21:9

Simplify to 7:3 length to height.

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Use the discriminant to describe the roots of each equation. Then select the best description.

Marrrta [24]

Let's find the discriminant of <span>x^2+9x+14=0. Here, a=1, b=9 and c=14.

The discriminant is b^2-4ac. Substituting the above numeric values,
9^2-4(1)(14) = 81-56 = 25

The sqrt of 25 is 5. Thus, your polynomial has two unequal, real roots.

Off the point example: If the discriminant were zero, your poly would have two real, equal roots.</span>

4 0

3 years ago

In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.

BaLLatris [955]

Answer:

Around 24 degrees

Step-by-step explanation:

*Make sure calculator is on degree mode*

Try to draw out triangle--it helps

Need to use law of sines... this is where an angle and the side that opposes it are equal to each other. For example, Angle U is equal to 9.7

$\frac{sin\alpha }{4} = \frac{sin90}{9.7}$

Multiply 4 and sin90 and then divide the product by 9.7

Use $sin^{-1}$ on calculator to convert the answer into degrees

5 0

2 years ago

What is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)

miv72 [106K]

9514 1404 393

Answer:

x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.

8 0

2 years ago

Study the following data set.

Katen [24]

The interquartile range of the data set is 8

<h3>How to solve for the interquartile range</h3>

To do this we have to arrange in ascending order

= 8,9,9,9,10,11,13,15,17,18,22

Q2 = The median of the data is 11.

We have to find the median of the half before 11 and the median of the half after 11.

We would have

8,9,9,9,10

Q1 = 9

And 13,15,17,18,22

Q3 = 17

The interquartile range is

Q3 - Q1

= 17 - 9

= 8

The interquartile range of the data set is 8