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2 years ago

The base of a triangle is 12.25 in. determine the area of the triangle if the height is 3.6 in

Mathematics

1 answer:

leva [86]2 years ago

5 0

Answer:

22.05in^2

Step-by-step explanation:

Formula for area of a triangle:

(base × height) / 2

(bh)/2

(12.25 × 3.6)/2

44.1/2

22.05

When finding the area, the units will always be to the second power because we are multiplying them

in × in = in^2

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Evaluate f(x) when x = 6.

BartSMP [9]

Answer:

f(x) = x-6

Step-by-step explanation:

Since x = 6, which is a positive number, the answer should be of f(x) = x-6.

When x = -6, which is a negative number, then the answer should be f(x) = x+6.

3 0

2 years ago

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The incomes in a certain large population of college teachers have a Normal distribution, with mean $75,000 and standard deviati

Natali [406]

Answer:

probability that their average salary is more than $77,500 is 0.1587

Step-by-step explanation:

standard error

= 10,000/sqrt(16)

=10,000/4

= 2500

(77,500 - 75000)/2500

2,500/2500

= 1

p (z > 1) = .1587

So, the probability that their average salary is more than $77,500 is 0.1587

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2 years ago

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Starlight tree farms sells douglas firs and noble first one December they sold 139 more douglas first than noble firs the total

Aloiza [94]

Part A:

Given that Starlight tree farms sells Douglas Firs and Noble First.

Let n be the number of Noble Fir trees sold, then if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.

Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377

Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.

Part B:

Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.

Subtracting 275 from both sides of the equation gives:

 $55h+275-275=440-275 \\ \\ \Rightarrow55h=165$

Dividing both sides by 55 gives:

 $\frac{55h}{55} = \frac{165}{55} \\ \\ \Rightarrow h=3$

Therefore, the time it will take you to reach your destination is 3 hours.

6 0

2 years ago

(4). Simplifying polynomials, help pls:) brainliest involved

Roman55 [17]

Answer:

Explanation:

To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.

First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.

Let's identify some like terms below.

f(x)=−4x+3x2−7+9x−12x2−5x4

Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:

f(x)=5x+3x2−7−12x2−5x4

Let's do the same thing with the x-squared terms:

f(x)=5x+3x2−7−12x2−5x4

f(x)=5x−9x2−7−5x4

Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:

f(x)=−5x4−9x2+5x−7

Step-by-step explanation:

5 0

2 years ago

What is 42/8832 with remainder

mario62 [17]

8832 ÷ 42 = 210.2857

3 0

2 years ago