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lbvjy [14]
3 years ago
13

Find the area of the triangle when b=8 and h=14

Mathematics
1 answer:
babunello [35]3 years ago
4 0

Answer:

56 square units

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is:

A = (1/2)(b)(h)

Here, that area is   A = (1/2)(8)(14) = 56 square units

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The water level as a river recedes after a flood is measured at regular intervals, and its height relative to normal, in inches,
Tems11 [23]

Answer:

<em>-26</em>

Step-by-step explanation:

Given the sequence:

16, 9, 2, –5, ...,

To find:

7th measurement, if the above sequence continues:

Solution:

Let us examine the given sequence first:

First term is 16

Second term = 9

Third term = 2

Fourth term = -5

Difference between 2nd and 1st term = 9 - 16 = -7

Difference between 3rd and 2nd term = 2 - 9 = -7

Difference between 4th and 3rd term = -5 - 2 = -7

We can see that there is a common difference of -7 between each term.

That means, the sequence is in Arithmetic Progression.

whose first term, a=16

Common difference, d=-7

To find:

7th term i.e. a_7=?

Solution:

Formula for nth term of an Arithmetic Progression is given as:

a_n=a+(n-1)d

Let us put n=7

a_7=16+(7-1)\times (-7)\\\Rightarrow a_7=16+6\times (-7)\\\Rightarrow a_7=16-42\\\Rightarrow \bold{a_7=-26}

7th measurement will be <em>-26.</em>

6 0
2 years ago
Read 2 more answers
A magazine is 2.00 the total sales tax is 7% what is the total cost
Alchen [17]
The total cost would be 2.14 cents
5 0
3 years ago
Read 2 more answers
Show that p(x)=2x3−5x2−10x+5 has a real root.
FromTheMoon [43]
Let's pick an arbitrary value of 5.

P(5) = 2(5)^{3} - 5(5)^{2} - 10(5) + 5
= 2(125) - 125 - 50 + 5
= 250 - 125 - 50 + 5
= 80 > 0

Let's pick another arbitrary value: 1

P(1) = 2 - 5 - 10 + 5
= -8 < 0

Between these two values, the polynomial is continuous. This means for the two polynomial points to be satisfied, there must be at least one root between these two points.

We can either use the Intermediate Value Theorem or Newton's method to make a better approximation from there.
6 0
3 years ago
Find the sum of these polynomials
Nuetrik [128]
Hi there! The answer is B.

( {x}^{2}  - x + 7) + (9 {x}^{2}  + 6)
First we work out the parenthesis, which is easy because we can just remove them.

{x}^{2}  - x + 7 + 9 {x}^{2}  + 6
Now rearrange our expression (in order to collect terms later).

{x}^{2}  + 9 {x}^{2}  - x + 7 + 6
Next up is collecting the terms.

10 {x}^{2}  - x  + 13
The answer is B.

~ Hope this helps you!



7 0
3 years ago
10. Find the area of the SHADED triangle.*
Gwar [14]

Answer:

120 square in

Step-by-step explanation:

The formula for area of a triangle is:

base × height ÷ 2

Plugging your triangle in to the formula, we have:

12 × 20 ÷ 2 = 120

7 0
3 years ago
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