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Misha Larkins [42]
3 years ago
13

A triangular bandana has an area of 78 square inches. The height of the triangle is 9

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0
Area of a triangle = 1/2 × base × height

Plug in what we know.

78 = 1/2 × b × 9¾

Multilply each side by 2 to get rid of the 1/2...

156 = b × 9¾

Write 9¾ as an improper fraction.
(9¾ = 9 + 3/4 = (9×4)/4 + 3/4 = 36/4 + 3/4 = 39/4)

156 = b × 39/4

Multiply each side by 4...

624 = b × 39

Divide each side by 39...

16 = b

Done! The length of the base of the triangle is <u>16</u> inches.
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Use the rational zero theorem to create a list of all possible rational zeros of the function f(x)=14x7-4x2+2
frosja888 [35]

Answer:

Factor this polynomial:  

F(x)=x^3-x^2-4x+4

Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3).  

The rational roots can thuis be +/1, +/2 and +/4. If you insert these values you find that the roots are at  

x = 1, x = 2 and x = -2. This means that  

x^3-x^2-4x+4 = A(x - 1)(x - 2)(x + 2)  

A = 1, as you can see from equation the coefficient of x^3 on both sides.  

Typo:  

The rational roots can be  

+/-1, +/-2 and +/-4

Step-by-step explanation:


6 0
3 years ago
Please help me answer question number 1 ?
anyanavicka [17]

Answer:

8820.26 yd

Explanation:

the formula for finding the area of a circle is π × radius². since the diameter of the circle is given, we can simply divide it by 2 to find the radius.

106 ÷ 2 = 53

now, we can substitute this into the formula:

π × radius²

= 3.14 × 53²

= <u>8820.26 yd</u>

i hope this helps! :D

4 0
3 years ago
Read 2/3 pages in an hour how long would it take to read 20 pages
maw [93]
It would take you about 13.3 hours to read 20 pages
6 0
3 years ago
Help! asap!
grigory [225]

The measure of angle 3 from the figure is 110 degrees

<h3>Lines and angles</h3>

An angle is the intersection between two lines. From the given figure, we have the following parameters

m∠1= 40°,

m∠2= 70°.

Required

Measure of angle 3

The sum of the interior angles of the triangle is equal to the exterior

Sum of interior = <1 + <2

Sum of interior = 40 + 70

Sum of interior =110 degrees

Hence the measure of angle 3 from the figure is 110 degrees

Learn more on lines and angles here: brainly.com/question/25770607

#SPJ1

3 0
1 year ago
1.The diameter of a circle is 20m. Find the circumference to the nearest tenth
Temka [501]

Answer:

62.8

Step-by-step explanation:

The formula for circumference is 2(pi)r

Let's plug in the values.

Well, we know the diameter, and since the radius is 1/2 the diameter, but then you multiply by 2 again, you don't have to change anything. Therefore, another formula is (pi)<em>d</em>

3.14 x 20

= 62.8 is your answer. And the answer is already rounded to the nearest tenth, so nothing is left to do!

<em>Hope this helps!</em>

3 0
2 years ago
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