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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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Step-by-step explanation:

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Find the slope of the line passing through the points (-6, 1) and (-7,5).
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At a college, 69% of the courses have final exams and 42% of courses require research papers. Suppose that 29% of courses have a
laila [671]

Answer:

a) 0.82

b) 0.18

Step-by-step explanation:

We are given that

P(F)=0.69

P(R)=0.42

P(F and R)=0.29.

a)

P(course has a final exam or a research paper)=P(F or R)=?

P(F or R)=P(F)+P(R)- P(F and R)

P(F or R)=0.69+0.42-0.29

P(F or R)=1.11-0.29

P(F or R)=0.82.

Thus, the the probability that a course has a final exam or a research paper is 0.82.

b)

P( NEITHER of two requirements)=P(F' and R')=?

According to De Morgan's law

P(A' and B')=[P(A or B)]'

P(A' and B')=1-P(A or B)

P(A' and B')=1-0.82

P(A' and B')=0.18

Thus, the probability that a course has NEITHER of these two requirements is 0.18.

3 0
3 years ago
The graph of the equation y= -2x+5 will intersect the y-axis when y equals what value
mamaluj [8]
Graphs like these (lines) come in the form y = mx + b where m is the slope and b is the y intercept. Y intercept is where the graph intersects the y axis so the value would be 5
7 0
4 years ago
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